5 1/2x + 2/3x=37 what does x equal

Answers

Answer 1

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

Convert mixed numbers to improper fractions: [tex]5\frac{1}{2} =\frac{11}{2}[/tex]

[Formula to convert mixed to improper: [tex]a\frac{b}{c} =\frac{a * c+b}{c}[/tex]]

--

[tex]\frac{11}{2} x+\frac{2}{3} x=37\\\\[/tex]

--

Find least common multiplier of 2, 3: 6

[Multiply by LCM = 6]

--

Simplify: [tex]37x=222[/tex]

Divide both sides by 37

--

Which is then simplified to 6


Related Questions

1/2x+50=125 What does x =

Answers

Answer:

X = 150

Step-by-step explanation:

1/2x + 50 = 125

1/2x = 75

2(1/2x) = 150

x = 150

Hope this helps. Pls give brainliest.

a ____________ is sometimes a rectangle

a. parallelogram
b. rhombus
c. square
d. trapezoid ​

Answers

Answer:

parallelogram

Step-by-step explanation:

Parallelogram is the answer,
rhombus, square, and trapezoid are all their own shapes, parallelogram is a four-sided plane rectilinear figure with opposite sides parallel. So basically a parallelogram is a shape with four sides.
Hope this helps.

Fill in the blanks below

Answers

4 and 9 is the answer to this question

There are 500 seats on a plane flying to San Francisco. 20% of the seats are next to a window. How many of the seats are next to a window?

Answers

Answer:

There are 100 seats that are next to a window.

Step-by-step explanation:

You have to calculate 20% of the total number of seats.

20% can also be written as 20/100

so 20/100 x 500. If you solve this then you will get 100. Therefore, 100 seats are next to a window.

Answer: 100 seats are next to a window.

Step-by-step explanation: 1. We assume, that the number 500 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 500 is 100%, so we can write it down as 500=100%.

4. We know, that x is 20% of the output value, so we can write it down as x=20%.

5. Now we have two simple equations:

1) 500=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

500/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 500

500/x=100/20

(500/x)*x=(100/20)*x       - we multiply both sides of the equation by x

500=5*x       - we divide both sides of the equation by (5) to get x

500/5=x

100=x

x=100

now we have:

20% of 500=100

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB

Answers

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

solve pls brainliest!

Answers

Answer:

reciprocle of 6 is -1/6 reciprocle of6/5 is -5/6

Step-by-step explanation:

just flip the fraction and switch the sign

Answer:

Reciprocal is the multiplicative inverse of something

1. 1/6

2. 5/6

Question
Gretchen bought a new luggage set priced at $180. The sales tax in her state is 8.5%. What was the total cost of the luggage
after tax?
Provide your answer below:
$
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SUBMIT
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Content attribution
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9
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81°F Mostly cloudy
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Answers

Answer:

$195.30

Step-by-step explanation:

$180 + 8.5 = $195.30

What is the value of this expression?

​ 1.5(−2.4+(−5.3))

Answers

Answer:

-11.55

Step-by-step explanation:

(to get the numbers out of the brackets you have to multiply all the numbers in the brackets to the number that is there, and in this case its 1.5)

1.5x(-2.4)= -3.6

1.5×(-5.3)= -7.95

after that, you add them (because there is a plus sign, not a minus, multiplication sign or a division sign.)

-7.95+ -3.6= -11.55

answer= -11.55

Todd and Garrett began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Todd took a test in Math and earned a 74.6, and Garrett took a test in English and earned a 68.8. Use the fact that all the students' test grades in the Math class had a mean of 70.6 and a standard deviation of 11.9, and all the students' test grades in English had a mean of 63.7 and a standard deviation of 8.6 to answer the following questions.

Required:
a. Calculate the z-score for Todd's test grade.
b. Calculate the z-score for lan's test grade.
c. Which person did relatively better?

Answers

Part A

For Todd's class, we have this given info:

mu = 70.6 = population mean of math scoressigma = 11.9 = population standard deviation of math scores

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

Answer:  0.34

======================================================

Part B

For Garret's English class, we have:

mu = 63.7sigma = 8.6

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

Answer:  0.59

======================================================

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

Answer: Garret did relatively better

Find the measure of angle y.
A)
19
B)
22
41
D)
120

Answers

Answer:

m<y=22º

Step-by-step explanation:

180-19-41=120

m<1=120º

m<1≅m<2

m<2=120º

180-120-38=22

so y=22º

Please help! Suppose f(x)=-8x^7 +8x-6

then f(-x)=________

Answers

Answer:

f(-x) = 8x⁷ - 8x - 6

Step-by-step explanation:

f(x) = -8x⁷ + 8x - 6

To find f(-x), we'll need to plug in -x instead of x.

f(x) = -8x⁷ + 8x - 6

f(-x) = -8(-x)⁷ + 8(-x) - 6

f(-x) = 8x⁷ - 8x - 6

Brenden collected 975 bottle caps for a school fundraiser over 20 days. He estimated that he collected an average of 50 bottle caps each day. Was Brendens answer reasonable?

Answers

Estimate is KEY word! 975 rounds up to 1,000. 1,000/20=50 so yes his answer is reasonable.

Find an equation of the tangent line to the curve y = 10/(1 + e^-x) at the point (0,5)

Answers

Compute the derivative, dy/dx (use the chain rule):

y = 10/(1 + e ⁻ˣ) = 10 (1 + e ⁻ˣ)⁻¹

===>   dy/dx = -10 (1 + e ⁻ˣ)⁻² (-e ⁻ˣ) = 10e ⁻ˣ/(1 + e ⁻ˣ)²

Evaluate the derivative for x = 0 to get the slope of the tangent to the curve at (0, 5) :

dy/dx (0) = 10e ⁰/(1 + e ⁰)² = 10/(1 + 1)² = 10/4 = 5/2

Use the point-slope formula to get the equation of the tangent line:

y - 5 = 5/2 (x - 0)

===>   y = 5/2 x + 5

32+N=52
pls help because i neeed it please

Answers

Answer:

N = 20

Step-by-step explanation:

32+N=52

Subtract 32 from each side

32-32+N=52-32

N = 20

Goodmorning everyone! Would somebody help me asap?!!

Answers

Answer:

it is 12

hope this answer helps you dear take care!

Question THREE and FOUR

Answers

Answer:

-10 out side the radical sign then 2 in the sign

2 out side the radical 3 inside the radical

Step-by-step explanation:

d: -6x + 2 = -15 , help pls fasttt

Answers

Pigs love to eat bacon! I wonder why. But, you learn something new everyday! :)

write 55% as a rate per 100


[YOUR ANSWER]

55% = ?/100


(i will mark brainliest but you just have to wait also no scam links pls.)

Answers

55% = 55/100

As a fraction, 55% can be expressed as 55/100 or 11/20.

Answer:

55% of 100 is 55% of 100

Step-by-step explanation:

just a guess

Andre's personal record for the long jump is 16 feet.
Then, he jumps 10% farther.
What is Andre's new personal record for the long jump?

Answers

Answer: 17.6

Step-by-step explanation:

16*10/100

160/100

1.6+16

17.6

Answer:

17.6 feet

Step-by-step explanation:

16*10%(or 0.10)= 1.6 feet which is 10% of his 16 foot jump

16+ the 10% increase of 1.6= 17.6 feet as his new record

the graph shown is the solution set for which of the following inequalities

y≤x-1
y≤|x+1|
y≤|x|-1​

Answers

Answer:

y≤|x+1|

Step-by-step explanation:

Find the exact circumference of the circle. please help?

Answers

Answer:

3rd option

Step-by-step explanation:

We first need to find the diameter of the circle.

We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.

The diagonal of a square is

[tex]a \sqrt{2} [/tex]

where a is the side lengths of the square.

So this means the diagonal of the square is

[tex]18 \sqrt{2} [/tex]

The diagonal is also the diameter of the main circle. The formula for circumference is

[tex]d\pi[/tex]

where d is the diameter.

So the diameter is

[tex](18 \sqrt{2} )\pi[/tex]

or

[tex]18\pi \sqrt{2} [/tex]

The third option is correct

A triangle has a perimeter of 48 feet. If the three sides of the triangle are n, 4n−2, and 4n−4, what is the length of each side?

Answers

Answer:

6; 22; 20 (ft.)

Step-by-step explanation:

1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.

2) if according to the condition perimeter is 48 (ft.), then

9n-6=P; ⇔ 9n-6=48; n=6.

3) if n=6, then the required lengths of the sides are:

n=6 (ft.);

4n-2=22 (ft.);

4n-4=20 (ft.)

evaluate -(2-^6)(2^3)

Answers

Answer:

The answer = -512

Step-by-step explanation:

To find -(2-^6)(2^3)

We have that -(2-^6) = {-(-2*-2*-2*-2*-2*-2)}=

-(64) which is -64

For (2^3) = (2*2*2) =8

Therefore -(2-^6)(2^) = (-64)(8)

which is = -512

So therefore -(2-^6)(2^3) = -512

Is the function even, odd, or neither?
A. even
B. odd
C. neither
D. both even and odd

Answers

it's neither

Step-by-step explanation:

It's not symmetrical

Answer:

C

Step-by-step explanation:

The function is neither

HELP LAST ATTEMPT to ( get marked brainliest show work !

Answers

Answer:

D

Step-by-step explanation:

First student's calculation :

Area = 3*20*20 = 1200 sq. yds

Second student's calculation:

Area = 3.14 * 20 * 20 = 1256 sq. yds

Difference = 1256 - 1200 = 56 sq yds

Answer is D

The equation y = 18x describes the amount of money Spongebob earns as a fry cook, where x is the
number of hours he works and y is the amount of money he earns. Show work. Complete sentence.
The table shows the amount of money Squidward earns as a cashier for different numbers of hours worked.
Squidward’s Earnings
Time (h) 3 5 8 10
Money earned
($) 48 80 128 160
(a) How much money does Spongebob earn per hour?
(b) How much money does Squidward earn per hour?
(c) Who earns more per hour? Justify your answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

a.) How much money does Spongebob earn per hour?

[tex] \$ \: 18[/tex]

b.) How much money does Squidward earn per hour?

[tex] \$ \: 16[/tex]

c) Who earns more per hour? Justify your answer

Spongebob earns more than that of squidward per hour.

Refer to attachment for Solution ~

1.Round 23.542 to the nearest tenth.
2.Round 1.823 to the nearest whole number.
3.Round 5.592 to the nearest hundredth.
4. What is 0.27845 rounded to 3 decimal places?

Answers

Answer:

1-23.5

2-2

3-5.59

4-0.278

find the equation of the line that is perpendicular to y=1/2x -4 and contains the point (4, 5)

Answers

Answer:

the equaion of the new line is y = -2x + 13

Step-by-step explanation:

The slope of this line is 1/2.  Recall that if we are given such a slope and want the slope of a line perpendicular to the given line, we find the negative reciprocal of the slope of the given line.  Here, given m = 1/2, the slope of any line perpendicular to the given line is m = -2.

Now insert this info into the standard slope-intercept equation of a line:

y = mx + b becomes 5 = (-2)(4) + b.  Solve this for b:

5 + 8 = b = 13.

Thus, the equaion of the new line is y = -2x + 13.

2y-5w

Y= -3
W= -1

Evaluating Expressions

Answers

Answer:

[tex]2y - 5w \\ here \\ \: y = - 3 \\ w = - 1 \\ then \: = > 2 \times (- 3) - 5 \times ( - 1) \\ = 2 \times - 3 - 5 \times - 1 \\ = - 6 + 5 \\ = - 1 \\ thank \: you[/tex]

The solution of expression after substituting given values is, - 1

We have to give that,

An expression is defined as,

2y - 5w

Here, y = - 3

w = - 1

Now, Substitute y = - 3 and w = - 1 in above expression,

we get;

⇒ 2y - 5w

⇒ 2 × - 3 - 5 × - 1

⇒ - 6 + 5

⇒ - 1

Therefore, The solution is, - 1

To learn more about the equation visit:

brainly.com/question/28871326

#SPJ6


Translate the following phrase into an algebraic expression. do not simplify.

y multiplied by the product of 3 and r

Answers

Answer:

y(3r)

Step-by-step explanation:

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