4 1/3 — 2 7/9

Please help quick

Answers

Answer 1

Answer: 1 2/3 or 5/3

Step-by-step explanation: if you change 4 1/3 to a different denominator of 9, you will get 4 3/9. Then, you will do 4 3/9-2 7/9 which equals 1 2/3.

Answer 2
Answer: 14/9
Alternate Answer: 1 5/9 , 1.5 repeating
Explanation: Convert the mixed number into an improper fraction. So 4 1/3 turns into 13/3 and 2 7/9 turns into 25/9. Then subtract and you get 14/9.

Related Questions

What is the linear equation of (1, -7); slope = -1

Answers

The linear equation of given point (1, -7) and slope -1 is y = -x - 6.

What is the point-slope form of linear equations?One of the three forms we can use to express a straight line is the point-slope form, also referred to as the point-gradient form. The general form of a linear equation is y - y₁ = m(x - x₁) where m is the slope and (x₁, y₁) is the point.It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given:

Point(x₁ , y₁) = (1, -7)

Slope = -1

By using the Point-slope form of the linear equations, we get

y - y₁ = m(x - x₁)

⇒ y - (-7) = -1(x - 1)

⇒ y + 7 = -x + 1

⇒ y = -x + 1 - 7

⇒ y = -x - 6

To know more about point-slope form visit:

https://brainly.com/question/2272516

#SPJ9

Find the volume of the figure. Round to the nearest hundredth of a unit.

Answers

Check the picture below.

so is more or less the figure of a rectangular prism with a right-cylinder underneath that has a radius of 1, since it has a diameter of 2.

now, if we just get the volume of the prism, and then the volume of half of the cylinder, because only half-cylinder is really inside the prism, and then subtract that half-cylinder volume from that of the prism, what's leftover is the volume of the figure only.

[tex]\stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}\hspace{5em}\stackrel{\textit{volume of half a cylinder}}{V=\cfrac{1}{2}\pi r^2 h} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE volumes}}{\stackrel{prism}{(4)(4)(8)}~~ - ~~\stackrel{half~cylinder}{\cfrac{1}{2}\pi (\underset{r}{1})^2(\underset{h}{8})}}\implies 128~~ - ~~4\pi ~~ \approx ~~\text{\LARGE 115.43}~cm^3[/tex]

P, R and S are points on a circle
centre O. If PÔR = 150°, calculate PSR​

Answers

The measure of angle PSR is 105°.

What does the Angle Subtended by an Arc of a Circle Theorem state?

An arc's angle at the center of the circle is twice as large as its angle at any other point on the circumference.

Given:

The centre of the circle is O.

P, R, and S are points on a circle.

∠POR = 150°

Let Q be a point on the circumference of the circle with centre O.

By half angle property,

∠POR = 2∠PQR

∠PQR = [tex]\frac{1}{2} * 150[/tex] = 75°

In the figure, the points on the circle PQRS form a cyclic quadrilateral.

A cyclic quadrilateral has opposite angles that measure a total of 180 degrees.

∠PQR + ∠PSR = 180°

∠PSR = 180° - 75°

∠PSR = 105°

To know more about circles visit:

https://brainly.com/question/28176720

#SPJ9

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?

Speed-- Number of cars
0-29 4
30-59 16
60-89 60
90-119 20

No, the distribution is not symmetric THIS ONE
No, the frequency do not increase from the low frequency to a maximum frequency
Yes, all the requirements are met

Answers

The verdict on whether the frequency distribution given appears to be normal is; No, the distribution is not symmetric.

What kind of frequency distribution is as given in the task content?

It follows from the task content that it is required to determine if the frequency distribution as given appears to be normal.

On this note, since a major distinctive feature of a normal distribution is that; there is a concentration of frequency in the middle and additionally, a normal distribution infers symmetry in the frequency distribution.

Therefore, since none of the data values (speed) can be chosen as the middle value, and the distribution is not symmetric, it follows that;

The frequency distribution in discuss is not a normal distribution because the distribution is not symmetric.

Read more on frequency distribution;

https://brainly.com/question/25196371

#SPJ1

Evaluate for the given values

Answers

We are going to evaluate for the giving values

x | y | x + 3y

0 | 4 | 0 + 3(4) = 3(4) = 12

2 | 3 | 2 + 3(3) = 2 + 9 = 11

4 | 2 | 4 + 3(2) = 4 + 6 = 10

3 | 6 | 3 + 3(6) = 3 + 18 = 21

5. A Gatorade recipe calls for 2 cups of mix for every 4 cups of water. If you
have 16 cups of water, how many cups of mix do you need?

Answers

A total of 8 cups of mix is needed for a Gatorade recipe calls for 2 cups of mix for every 4 cups of water if you have a total of 16 cups of water.

Unitary Method: What is it?

The unitary technique in actuality involves first determining the actual value of a single unit, alongside followed by the value of the necessary number of units.

The unitary approach is a kind of a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

2 mix for 4 cups of water

⇒ 1 mix for 2 cups

⇒ for 1 cup = 1/2 mix

so for 16 cups = 8 mix

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit.

The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one liter of gas if it travels 44 km on two liters of fuel.

To know more about unitary method, visit:

https://brainly.com/question/28276953

#SPJ9

school children shared oranges as follows .Jonas got 1/3 of the total and the remaining were shared between Mary and Rejoice in the ratio 3:2. if Rejoice got 24 oranges How many did Jonas get​

Answers

The appropriate choice of ratio will be given by

Jonas got 30 oranges

What is ratio?

Ratio determines the comparision among many quantities with the same unit.

Here,

Let Mary got 3x oranges and Rejoice got 2x oranges

By the Problem,

                           [tex]2x = 24[/tex]

                             [tex]x = \frac{24}{2}[/tex]

                             [tex]x = 12[/tex]

Number of oranges Mary got = [tex]12 \times 3[/tex]

                                                 = [tex]36[/tex]

Number of oranges shared between Mary and Rejoice = [tex]24 + 36[/tex]

                                                                                            = [tex]60[/tex]

Fraction of oranges shared between Mary and Rejoice = [tex]1 - \frac{1}{3}[/tex]

                                                                                            = [tex]\frac{3 - 1}{3}[/tex]

                                                                                            = [tex]\frac{2}{3}[/tex]

Total number of oranges = [tex]\frac{60}{\frac{2}{3} }[/tex]

                                          = [tex]60 \times \frac{3}{2}[/tex]

                                          = [tex]90[/tex]

Number of oranges Jonas got = [tex]90 \times \frac{1}{3}[/tex]

                                   

To learn more about ratio, refer to the link:

brainly.com/question/25927869

#SPJ9

George finished 1/4 of a level of his computer game in 1/3 of an hour. At this rate, how many levels can he finish in one hour?

Answers

Let x be the number of game he can finish in 1 hour

1/4 = 1/3 hour

x = 1 hour

cross-multiply

1/3 x = 1/4

Multiply both-side of the equation by 3

x = 3/4 of his level game

He can finish 3/4 of his level game in an hour

A 75 ​-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the lengths of the two pieces.

Answers

Answer:

5 times the length of the short piece = 75 inches

The length of the short piece =75 / 5 = 15 inches

Length of the long piece = 4 times the length of the short piece = 60 inches

Check: 15 + 60 = 75 inches

yay

A normal distribution has a mean of u = 60 and a standard deviation of o = 18. For each of the follow-
ing samples, compute the z-score for the sample mean
and determine whether the sample mean is a typical,
representative value or an extreme value for a sample
of this size.
a. M= 67 for n = 4 scores
b. M = 67 for n = = 36 scores

Answers

Answer:

HI

Step-by-step explanation:

HOW ARE

For x = -5, what is the value of 4x²-11x ?


Answers

Answer:

155

Step-by-step explanation:

4(-5)^2-11x

-5 squared is 25, times 4 =100, -11times-5 is 55 (positive) so 100+55=155

helppppp. can you help please?

Answers

[tex]P(x)=8x^4+39x^3-nx^2+6x-20[/tex]

P (-5), replace x by (-5).

[tex]p(x)=8(-5)^4+39(-5)^3-n(-5)^2+6(-5)-20[/tex]

Solve the parentheses:

[tex]p(x)=8(625)+39(-125)-n(25)-30-20[/tex]

[tex]p(x)=5,000-4,875-25n-30-20[/tex]

Combine like terms:

[tex]p(-5)=75-25n[/tex]

AO. Use the appropriate divisibility rule to determine which of the following numbers is a factor of
315438530. (In each case, state "Yes" or "No" and explain briefly your use of the rule.)
(i) 2, (ii) 3, (iii) 4, (iv) 5, (v) 6, (vi) 8, (vii) 11

Answers

The results based on divisibility rules are given below -

What are divisibility rules?

A divisibility rule is a convenient shorthand for checking if an integer is divisible by a given set divisor without actually doing the division, typically by looking at the digits of the number.

Rule of Divisibility for 2: The given integer's final/unit digit must be an even number or a multiple of two, i.e., 0, 2, 4, 6, and 8.

Dividend Rule for Number 5: The provided number should have a unit digit of 0 or 5.

Yes, As number on ones place is multiple of 2.No, as the sum of numbers is not divisible by 3.No, As numbers on tens place are not divisible by 4.Yes, As number on ones place is 0.No, As the number is divisible by 2 but not 3.No, As number on hundreds place is not divisible by 8.Yes, using even odd method.

To learn more about divisibility rules from given link

https://brainly.com/question/9462805

#SPJ9

To support a local senior citizens center, a student club sent a flyer home to the n students in the school. The flyer said, "Please bring in money to support the senior citizens center. Paper money and coins accepted!" Their goal is to raise T dollars.

Answers

The dollar amount the club would contain if half of the students at the school each provided 50 cents T - 0.5n.

What is meant by expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

The dollar amount the club would contain if they reached half of their goal T + 50.

The dollar amount the club would contain if every student at the school donated 50 cents to the cause 0,5T.

The dollar amount the club could donate if they earned $50 more than their goal of 0.25n.

The dollar amount the club would still require to expand to achieve its goal after every student at the school donated 50 cents 0.5n.

The dollar amount the club would contain if half of the students at the school each provided 50 cents T - 0.5n.

The complete question is:

To support a local senior citizens center, a student club sent a flyer home to the n students in the school. The flyer said, "Please bring in money to support the senior citizens center. Paper money and coins accepted!" Their goal is to raise T dollars. Match each quantity to an expression, an equation, or an inequality that describes it. A: the dollar amount the club would have if they reached half of their goal 1: B: the dollar amount the club would have if every student at the school donated 50 cents to the cause 2: C: the dollar amount the club could donate if they made $50 more than their goal 3: D: the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 4: E: the dollar amount the club would have if half of the students at the school each gave 50 cents 5: Which statement matches with T + 50?

To learn more about expression refer to:

https://brainly.com/question/1859113

#SPJ13

A train starts from rest and accelerates uniformly at 1.5m/s²
until it attains a speed of 30m/s. Find the time taken and the
distance travelled.

Answers

Answer:

V= 30m/s u=0 A=1.5, time t=? distance S=?

Step-by-step explanation:

to find time:

A=v-u/t

t=v-u/a

t =30-0/1.5

t = 20 secs

to find distance S

S= UT +½at²

S= 0×20+ 1.5×20²/2

s= 300m

Help me Plss is very hard and i need an answer

Answers

Line C has the constant of proportionality between y and x of 2/3.

What is defined by constant of proportionality?The proportionality constant is the constant value of the ratio of two proportional quantities. When the ratio or product of two varying quantities yields a constant, they are said to be in a proportional relationship.

For the given question;

Constant of proportionality = change in y / change in x

Check for each line;

Line A; select any coordinate from the graph.

(7, 3); Put in the formula

Constant of proportionality = 7/3

Thus, Line A has Constant of proportionality between y and x of 7/3.

Line B; select any coordinate from the graph.

(4, 3); Put in the formula

Constant of proportionality = 4/3

Thus, Line B has Constant of proportionality between y and x of 4/3.

Line C; select any coordinate from the graph.

(2, 3); Put in the formula

Constant of proportionality = 2/3

Thus, Line C has Constant of proportionality between y and x of 2/3.

To know more about the constant of proportionality, here

https://brainly.com/question/24868934

#SPJ13

what is the constant of prportionality in the equation y= 5x ​

Answers

The constant of proportionality on the equation is 5.

What is constant of proportionality?

Constant of proportionality is defined as the ratio that relates two given value. When two values are directly or indirectly proportional to one another, there relation is expressed as y = kx.

We compare the general direct proportionality relation with the equation given.

The equation given : y = 5x

The direct relationship between y and x is :

y α x

y = kx - - - (1)

Where, y and x are variables and k is the constant of proportionality.

Comparing equation (1) with the equation given :

y = kx

y = 5x

We can observe that, k in the equation (1) equals to 5 in the given equation.

To know more about constant of proportionality, visit:

https://brainly.com/question/6037488

#SPJ9

Simplify (write without the absolute value sign) :

Problem 1 : |5-x|-|x+8|, if x>5
Problem 2 : |x − 2| + |8 − x| + 2, if 2 ≤ x < 8
Problem 3 : |x − 5| − |2 − x| + |x + 1|, if x ≥ 5
Problem 4 : |7 − x| + |4 − 2x| − |x − 8, if x < 2

Answers

Simplification of the given problems without absolute value sign:

1.  |5-x|-|x+8|, if x>5 is equal to -13.

2.  |x − 2| + |8 − x| + 2, if 2 ≤ x < 8 is equal to 8.

3.  |x − 5| − |2 − x| + |x + 1|, if x ≥ 5 is equal to x -2.

4.  |7 − x| + |4 − 2x| − |x − 8, if x < 2 is equal to 3 -2x.

As given,

Simplification of the given problems without absolute value sign:

1. |5-x|-|x+8|, if x>5

 = x - 5-(x+8)

 = x-5 -x-8

 = -13

2. |x − 2| + |8 − x| + 2, if 2 ≤ x < 8

= x -2+ 8 -x+2

=8

3. |x − 5| − |2 − x| + |x + 1|, if x ≥ 5

 = x-5-(x-2)+(x+1)

=x-5-x+2+x+1

=x-2

4. |7 − x| + |4 − 2x| − |x − 8, if x < 2

= 7-x +4-2x-8 +x

=3-2x

Therefore, simplification of the given problems without absolute value sign:

1.  |5-x|-|x+8|, if x>5 is equal to -13.

2.  |x − 2| + |8 − x| + 2, if 2 ≤ x < 8 is equal to 8.

3.  |x − 5| − |2 − x| + |x + 1|, if x ≥ 5 is equal to x -2.

4.  |7 − x| + |4 − 2x| − |x − 8, if x < 2 is equal to 3 -2x.

Learn more about absolute value here

brainly.com/question/1301718

#SPJ1

An astronaut on the moon throws a baseball upward. The height of the ball in feet
(y) is related to the number of seconds since the ball was thrown (x).
y = -2.7x² + 30x + 6.5
How high will the ball be after 3 seconds? Use your calculator to pull up a function
table to help you. (6 points total)

Answers

The height of the ball be after 3 seconds will be 72.2 feet.

How to calculate the height?

From the information given, it should be noted that the astronaut on the moon throws a baseball upward and the height of the ball in feet

(y) is related to the number of seconds since the ball was thrown (x).

In this case, it should be noted that the function is illustrated as:

y = -2.7x² + 30x + 6.5

Therefore, it was given that x = 3. It should be noted that this will be put back into the function. This will be:

y = -2.7x² + 30x + 6.5

y = -2.7(3)² + 30(3) + 6.5

y = -24.3 + 90 + 6.5

y = 72.2

The height is 72.2 feet.

Learn more about astronaut on:

brainly.com/question/2515026

#SPJ1

What is the value of the expression -83 + (-56)

Answers

The answer to -83 - 56 is -139

A probability experiment consists of rolling a fair 15​-sided die. Find the probability of the event below. rolling a number divisible by 3

Answers

Probability of an experiment consists of rolling a fair 15 -sided die with an event of rolling a number divisible by 3 is P(E)=(1 /3).

As given ,

Total number of outcomes of an experiment consists of rolling a fair 15-sided die 'n'

={1, 2, 3, …., 14, 15}

=15

Number of outcomes of an event 'E' showing rolling a number divisible by 3 'n(E)'

={3,6,9,12,15}

=5

Probability of event showing rolling a number divisible by 3 'P(E)'

=(Total number of favourable outcomes)/(Total number of outcomes)

=n(E)/n

= 5/15

=1/3

Therefore, probability of an experiment consists of rolling a fair 15 -sided die with an event of rolling a number divisible by 3 is P(E)=(1 /3).

Learn more about probability here

brainly.com/question/11234923

#SPJ1

f(x)=7x-9, f(a +9),what’s the answer HELPME

Answers

Step-by-step explanation:

substitute a+9 in place of x in f(x) f(a+9)= 7(a+9) -9 = 7a+63-9 = 7a+54

Zoe says that 2³ · 4² can be rewritten as 8⁶. Juana says that it can be rewritten as 8⁵. Danladi says that it cannot be rewritten as either of these expressions. Who is correct? Explain.

Answers

Answer:

Danladi is correct

Step-by-step explanation:

Danladi is correct because 2^3×4^2 equals 128

8 to the 6th is 262144 and to the 5th is 32768

Be Precise An orchard contains 12 rows of Granny Smith apple trees, 10 rows of Fuji apple trees, 15 rows of Gala apple trees, 2 rows of Golden Delicious apple trees, and 2 rows of Jonathan apple trees. Write each ratio in three ways.​

Answers

Ratio in three ways are given below.

What is ratio?

The ratio is the number that can be used to represent one quantity as a percentage of another, to put it simply. A ratio's two numbers can only be compared if they share the same unit. Ratios are used to compare two objects. a connection between two values that is typically expressed as the quotient of one value divided by the other. For instance, the ratio of red to blue marbles is 6:4, or six red to four blue marbles, in the case of a box containing six red and four blue marbles. A decimal or percentage can also be used to indicate a ratio.

Given Data

An orchard contains 12 rows of Granny Smith apple trees, 10 rows of Fuji apple trees, 15 rows of Gala apple trees, 2 rows of Golden Delicious apple trees, and 2 rows of Jonathan apple trees.

a) Rows of Gala apple trees to Granny apple smith trees:

Ratio

First way = 15 to 12

Second way = 15:12

Third way = [tex]\frac{15}{12}[/tex]

b) Rows of Fuji apple trees to total number of apple trees

Total number = 12 + 10 + 15 + 2 +2

Total number = 41

Rows of Fuji apple trees = 10

First way = 10 to 41

Second way = 10: 41

Third way = [tex]\frac{10}{41}[/tex]

To learn more about ratio, visit:

https://brainly.com/question/13419413

#SPJ9

7 Describe the error in solving the equation
(1) 3 (X + 4) = 13
(2) 3x + 4 =13
(3) 3 x = 9
(14)X = 3

Answers

the error in the equation is 3 is not multiplied by 4 which gives wrong value of x .

What is the linear equation ?

A linear equation is a first-order (linear) term and a constant in an algebraic equation of the type y=mx+b, where m is the slope and b is the y-intercept. The previous equation, which has the variables y and x, is sometimes referred to as a "linear equation with two variables."

The typical form for linear equations with two variables is Ax+By=C. For instance, the linear equation 2x+3y=5 is in standard form. Finding both the intercepts of an equation in this way is quite easy (x and y).

Calculation

3 (x + 4) = 13

3x + 12 = 13          \\the place where the error was occurred in the question\\

3x = 1

x = 1/3

this is correct value of x

learn more about linear equation here :
brainly.com/question/11897796

#SPJ13

Find an equation of the form f(x)=ax^2+bx+c. must solve algebraically and check using a calculator (state, the steps used to perform the check).
f(1)=4, f(2)=13, f(4)=46

Answers

The equation of the form [tex]f(x)=ax^2+bx+c[/tex] that must solve algebraically and f(1)=4, f(2)=13 and, f(4)=46 is [tex]\frac{5}{2}x^2+\frac{3}{2}x+5[/tex].

Putting x = 1 in the given equation, we get

[tex]f(1)=a(1)^2+b(1)+c[/tex]

f(1) = a + b + c = 4 ...(1)

Putting x = 2 in the given equation, we get

[tex]f(2)=a(2)^2+b(2)+c[/tex]

f(2) = 4a + 2b + c = 13 ...(2)

Putting x = 4 in the given equation, we get

[tex]f(4)=a(4)^2+b(4)+c[/tex]

f(4) = 16a + 4b + c = 46 ...(3)

Using elimination method to solve the set of linear equations, we get

(2) - (1), we get

3a + b = 9  ...(4)

(3) - (2), we get

12a + 2b = 33  ...(5)

Multiplying (4) by 2, we get

6a + 2b = 18 ...(6)

(5) - (6), we get

6a = 15

a = 15/6 = 5/2

Putting a = 5/2 in (4), we get

3(5/2) + b = 9

15/2 + b = 18/2

b = 3/2

Putting the values of a and b in (1), we get

5/2 + 3/2 + c = 9

4 + c = 9

c = 9 - 4

c = 5

Hence, the equation is [tex]\frac{5}{2}x^2+\frac{3}{2}x+5[/tex].

To learn more about elimination method, here:-

https://brainly.com/question/14619835

#SPJ1

.) Arjen lives in Wisconsin. He said it was -10 degrees in the morning and it dropped 15degrees by midnight. What was the temperature at midnight?a. Show a mathematical statement to represent this situation and evaluate it.b. Write an inequality statement for -10 and 15 that uses the >< symbol.c. What is the absolute value of the morning temperature? Show a mathematicalstatement and evaluate it.

Answers

So,

The temperature was -10 degrees in the morning. Given that it dropped 15 degrees by midnight, we could substract 15 to -10 to find the temperature at midnight:

[tex]-10-15=-25[/tex]

The temperature at midnight was -25 degrees.

b. Clearly,

[tex]-10<15[/tex]

c. The absolute value of the morning temperature is:

[tex]|-10|=-(-10)=10[/tex]

That's because:

[tex]undefined[/tex]

All changes savedFor the three-part question that follows, provide your answer to each question in the given workspace.Identify each part with a coordinating response. Be sure to clearly label each part of your response asPart A, Part B, and Part C.A bag contains three blue marbles, five red marbles, and four green marbles.Part A: What is the probability of selecting a red marble?Part B: What is the probability of selecting three red marbles without replacement?Part C: In a short paragraph, explain in your own words your work to Step B.

Answers

Part A.

If there are three blue marbles, five red marbles, and four green marbles, the probability of selecting a red marble is

[tex]P=\frac{5}{3+5+4}=\frac{5}{12}_{}[/tex]

Remember that the probability is the ratio between the number of events and the total number of all the events. In this case, the number of events is 5 because there are 5 red marbles, and the total number of all events is the sum of all the marbles.

Therefore, the probability of selecting red marbles is 5/12.

Part B.[tex]P=\frac{5}{12}\cdot\frac{4}{11}\cdot\frac{3}{10}=\frac{5\cdot4\cdot3}{12\cdot11\cdot10}=\frac{60}{1320}=\frac{30}{66}=\frac{15}{33}[/tex]

Notice that we have three different ratios, that is because each time we select a red marble it represents a different situation since we won't place back the red marble into the bag, that's why each event decreases by one and each denominator too.

Therefore, the probability of selecting three red marbles without replacement is 15/33.

Part C.

As we said before, in Part B, we had to multiply each probability for each time we select a red marble. It's important to notice that the numerators decreased by 1 (5,4,3) because each time we select a marble we won't place it back, that's the reason why the denominator also decreased by 1.

The area of a rectangular living room is 450 square feet. The length of the room is 15 feet less than three times the width.

Answers

The length of the rectangle is 30 feet and the width of the rectangle is 15 feet.

Let l be the length l the rectangle and w be the width of the rectangle.

The area of a rectangular living room is 450 square feet.

⇒ A = l × w

⇒ 450 = l × w                     ................(1)

The length of the room is 15 feet less than three times the width.

So we get an expression,

l = 3w - 15

Substitute above vale of l in equation (1)

450 = (3w - 15) × w        

450 = 3w² - 15w

3w² - 15w - 450 = 0

w² - 5w - 150 = 0

(w - 15)(w + 10) = 0  

w - 15 = 0  or w + 10 = 0

w = 15    or    w = -10

But width of the rectangle cannot be -10

So, w = 15 feet

and l = 3(15) - 15

l = 30 feet

Therefore, the length of the rectangular living room is 30 feet and the width is 15 feet.

Learn more about the area of rectangle here:

https://brainly.com/question/27431338

#SPJ1

The measures of the exterior angles of a triangle are 5x°, 9x°, and 10x°. Find the
measure of the largest exterior angle.

Answers

The measure of largest exterior angles is 150 degrees

What are exterior angles?

Exterior angles are defined as angles of a polygon formed or created by two the sides of that polygon and sharing a common endpoint.

It is important to note that the exterior angle of a triangle is congruent to the sum of the two non-adjacent interior angles that are opposite to each other.

They are also known to be angles formed by a transversal line as it cuts through one of two lines and it is located on the outside part of the line.

Given the angles as;

5x°9x°10x°

Note that the sum of exterior angles are 360degrees

5x° + 9x° + 10x° = 360°

collect like terms

24x = 360

Make 'x' the subject of formula by dividing both sides by 24

x = 360/24

x = 15

But the largest angle is 10x = 10(15) = 150°

Hence, the value is 150°

Learn more about exterior angles here:

https://brainly.com/question/7620723

#SPJ1

Other Questions
An actress has a probability of getting offered a job after a try-out of 0.11. She plans to keep trying out fornew jobs until she gets offered one. Assume outcomes of try-outs are independent.Find the probability she will need to attend more than 3 try-outs. Round your answer to 4 decimal places.Submit Question The density of an unknown substance is 6.8g/cm. It has a mass of 47g. What is its volume?If the density of a mineral is 2.5g/cm, would it sink or float?If the density of a mineral is 0.45g/cm, would it sink or float?An unknown substance from Planet X has a density of 10g/mL. It occupies a volume of 80mL. What is the mass of this unknown substance?A rock occupies a volume of 20cm and has a mass of 54g. What is the density of the rock?28.5g of iron shot is added to a graduated cylinder containing 45.5mL of water. The water level rises to 49.1mL. Calculate the density of iron.A graduated cylinder has 22mL of water poured into it. An irregularly shaped rock is dropped into the cylinder and the volume rock and the water in the cylinder now reads 30mL. The mass of the rock dropped into the cylinder is 24g.What is the density of the rock?What is the mass of ethyl alcohol that fills a 200 ml container? The density of ethyl alcohol is 0.789g/mL. Which of the following illustrates the proper use of Boolean operators?A. Macbeth NOR filmB. To be OR not to beC. Shakespeare and Romeo AND JulietD. Montagues AND Veronasin responder What is the answer and how because i thought it was a preposition? Write a polynomial f(x) that satisfies the given conditions. Express the polynomial with the lowest possible leading positiveinteger coefficient.Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 3-2i and 0 (multiplicity 4). Place the items in chronological orderRevolutionary WarFrench and Indian WarProclamation of 17631st Continental CongressMayflower Compact What is the formula for osmium decobromide Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).Find the product. Write your answer as a mixed number in simplest form.5 2 == Sweet Cravings Bakery was interested in seeing if there was an association between cake flavor and frosting flavor. Given are the results of the survey in a relative frequency table. Vanilla Chocolate TotalVanilla Buttercream 0.15 Cream Cheese Icing 0.14 0.33Cookie Butter Buttercream 0.20 Total 0.60 1.00Which category has the lowest joint relative frequency? Cupcakes with vanilla buttercream Cupcakes that are chocolate Chocolate cupcakes with vanilla buttercream Vanilla cupcakes with vanilla buttercream suppose that the average household in a state consumes gallons of gasoline per year. a -cent gasoline tax is introduced, coupled with a $ annual tax rebate per household. will the household be better or worse off under the new program? a stroke patient can recognize the sound of his wife's voice but cannot recognize her face when she stands next to him. which brain region has most likely been damaged? A Theocracy is a type of government where?the people have the powerkings have the powera small group has powera ruler is seen as a divine figure help me please help me Which of the following would be most likely to cause a mutation?.. The insertion of an extra nucleotide into a DNA strandThe placement of ribosomes on the endoplasmic reticulumThe movement of transfer RNA out of the cell's nucleusThe release of messenger RNA from DNA The application of scientific knowledge to benefit people is.? An invasive species is a species that disrupts the ecosystem into which it is introduced by displacing species. Question 5 of 10 Which is the central emotion in 103 Korean Martyrs"? A. The speaker's despair and anxiety at being held prisoner B. The speaker's guilt about avoiding a difficult event C. The speaker's unsettled feeling after viewing a difficult film D. The speaker's bittersweet reaction to leaving home A survey of 600 school employees yielded the following information: 449 were instructors, 325 were full-time faculty, and 260 of the instructors were full-time faculty. How many of the 600 surveyed school employees were instructors or were full-time faculty? Which of the following sentences uses who correctly? Gabriel wasn't sure who was wearing that mascot costume, but he was impressed by their dancing. Rory didn't recognize the voice on the phone so she asked who she was speaking with. Suki wanted to know who Michel was writing a letter to. Who should I talk to about renting an apartment in this building? how much does $3000 earn in 6 months at in interest rate of 4%, compounded quarterly?