One number is 4 times another. Their difference is 27. How to get the other two numbers?​

Answers

Answer 1

Answer:

x = 36; y = 9

Step-by-step explanation:

To solve this problem you need to set up two equations. The first equation comes from the first sentence "One number is 4 times another." This equation can be written as x = 4*y where x and y are the two numbers. The second equation comes from the second sentence "Their difference is 27." This equation can be written as x-y = 27. To find the numbers you need to rearrange one equation and plug it into the other.

Step 1: write equations

x = 4*y

x-y = 27

Step 2: rearrange

Not necessary here

Step 3: substitute in

x - y = 27

4y -y = 27

3y = 27

y = 9

Step 4: solve for x

x = 4*y

x = 4*9

x = 36

Answer 2

[tex]x[/tex] - one number

[tex]4x[/tex] - the other number

[tex]4x-x=27\\3x=27\\x=9\\\\4x=4\cdot9=36[/tex]

These numbers are 9 and 36.


Related Questions

What is the value of X?

Answers

Answer:

C

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² = 40² + 9² = 1600 + 81 = 1681 ( take square root of both sides )

x = [tex]\sqrt{1681}[/tex] = 41

The number of slugs in a garden t days from now is p, where
Po = 100
P1+1= 1.06pt
Work out the number of slugs in the garden 3 days from now.

Answers

The number of slugs in the garden 3 days from now is 119

How to determine the number of slugs?

The function is given as:

Po = 100

[tex]P_{t+1} = 1.06P_t[/tex]

When t = 0, we have:

[tex]P_{0+1} = 1.06P_0[/tex]

[tex]P_1 = 1.06 * 100\\[/tex]

[tex]P_1 =106[/tex]

When t = 1, we have:

[tex]P_2 = 1.06 * 106[/tex]

[tex]P_2 = 112.36[/tex]

When t = 2, we have:

[tex]P_3 = 1.06 * 112.36[/tex]

[tex]P_3 = 119.1016[/tex]

Approximate

[tex]P_3 = 119[/tex]

Hence, the number of slugs in the garden 3 days from now is 119


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Expand each expression In 4y5/x2

Answers

Answer:

[tex]\ln 4 -2 \ln x +5 \ln y[/tex]

Step-by-step explanation:

[tex]\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y[/tex]

Answer: Answer B

Step-by-step explanation: Let's begin

Answer: B in 4 - 2 in x + 5 in y

asap need help quick

Answers

Answer:

Answer:11

Step-by-Step Answer:

When we multiply 11 with 1\2 then thier answer will be 11\2

Please help meeeeeee thank youuu

KJ and GH
FG and KF
FI and GH
FI and JH

Answers

The lines that best represent perpendicular lines are: D. FI and JH.

What are Perpendicular Lines?

Perpendicular lines are lines that meet at a right angle, that is, the point of their intersection forms a right angle.

From the image given, lines FI and JH intersect at point I, and also appears to form a right angle.

Therefore, the lines that are perpendicular in the image are: D. FI and JH.

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Find the midpoint of the line segment with end coordinates of:

(-4,-4) and (-4,-8)

Answers

Answer:

(-4, -6)

Step-by-step explanation:

(x,y) = ((x1+x2)/2 , (y1+y2)/2)

[substitute the values given]

(x,y) = ((-4+-4)/2 , (-4+-8)/2)

[solve]

(x,y) = (-8/2 , -12/2)

[simplify]

(x,y) = (-4, -6)

THE ANSWER IS (-4, -6) HOPE IT HALP'S MARK IT AS BRAILY.

The side length of a square is 9 units. The square is reflected over the x-axis in the coordinate plane. What is the length of the side of the image? 0 10 -9 9

Answers

Answer:

9 units

Step-by-step explanation:

Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.

Consider the expression below.

9 + 4(x + 2) – 3x

Select the term that best describes "3" in the given expression.

A.
exponent
B.
variable
C.
coefficient
D.
constant

Answers

Answer:

the term that best describes 3 is a coefficient because a

Step-by-step explanation:

Coefficient is a number that is being multiplied by the variable.

[tex]\sf\large\green{\underbrace{\red{Question*}}}:[/tex]

[tex] \mathcal \pink{Solve} [/tex]
[tex] \blue{3(x - 2) + 2(x + 1) = 10}[/tex]

Answers

[tex]~~~~~~~3(x-2) +2(x +1) = 10\\\\\implies 3x -6 + 2x+2 = 10\\\\\implies 5x -4 = 10\\\\\implies 5x = 10+4\\\\\implies 5x = 14 \\\\ \implies x = \dfrac{14}5 \\\\ \implies x = 2.8[/tex]

[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Solve:}}}}}}[/tex]

[tex] \sf \red{3(x - 2) + 2(x + 1) = 10}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

In the above question, it is said to find out the value of "x". So, let's solve.

First we gonna multiply (x - 2) with 3 and then again (x + 1) with 2.

So, it goes...

[tex]3(x - 2) + 2(x + 1) = 10 \\ \\ \implies \: 3x - 6 + 2x + 2 = 10 \\ \\ \implies \: 5x - 4 = 10 \\ \\ \implies \: 5x = 10 + 4 \\ \\ \implies5x = 14 \\ \\ \implies \: x = \frac{14}{5} \\ \\ \implies \: x = 2.8[/tex]

Therefore, we've found the value of "x" and that is 2.8

[tex] \boxed{ \frak \pink{Have \: a \: Splendid \: Day}}[/tex]

[tex] \boxed{ \frak \green{Be \: Brainly}}[/tex]

Which number produces a rational answer when added to 0.85

Answers

The number that produces a rational answer when added to 0.85 is; 193/180

How to identify rational numbers?

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Now, let us convert 0.85 to a fraction. Thus;

0.85 = 85/100 = 17/20

From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;

17/20 + 2/9 = 193/180

193/180 is a rational number.

The missing options are;

A. 2/9

B. 0.2645751311...

C. √2

D.

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This chart shows the result of an experiment conducted to see the effect of different brands of fertilizers on the growth of a bean plant.

Which of the following ranges would be appropriate to use in order to represent the numerical data in centimeters on the vertical axis of a Line Graph?

A. 0.0 to 26.0
B. 0.0 to 25.0
C. 14.0 to 25.2
D. 0.0 to 20.0

Answers

The range that is appropriate to use to represent the numerical data is 0.0 to 26.0.

What is a line graph?

A line graph is a graph that is used to represent numerical data. It shows the changes in the data with the passage of time. There are two axes on a line graph, the vertical axis and the horizontal axis. The range of the vertical axis should start from 0 and end at the largest number of data set.

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A ser of esta consists of four scores…

Answers

Answer:

x4 = 8

Step-by-step explanation:

To find the mean, add the values and divide by the number of values.

mean = (x1 + x2 + x3 + x4)/4

(3 + 12 + 7 + x4)/4 = 8

x4 + 22 = 32

x4 = 10

Answer:

x4 = 8

Step-by-step explanation:

Please do both you get 100 points!!

Answers

#6

Sum of exterior angles of any polygon=360°

sides=6

Measure of one angle

360/660°

Option D

#7

4ft=1cm

32ft=32/4=8cm

and

60ft=60/4=15cm

Dimensions are 8cm and 15cm

Option B

Answer:

6.  d.  m∠YXZ = 60°

7.  b.  8 cm x 15 cm

Step-by-step explanation:

Question 6

∠YXZ is the exterior angle of a regular polygon

Exterior angle of a regular polygon = 360° ÷ number of sides

⇒ ∠YXZ = 360° ÷ 6

∠YXZ = 60°

Question 7

Scale  1 cm : 4 ft

Therefore, to convert actual dimensions in feet to sketch dimensions in centimeters, divide dimensions in feet by 4:

⇒ width = 32 ft

width = 32 ÷ 4 = 8 cm

⇒ length = 60 ft

length = 60 ÷ 4 = 15 cm

Therefore, the dimensions of the sketch are 8 cm x 15 cm

medain of 38,42,77,47,74,51,48,41,82,72,74,129

Answers

Answer:

The median of 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, and 129 is 61.5.

Step-by-step explanation:

First, rearrange the data set in order.

38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129

38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129

Identify how many numbers are in the set. This will make it easier to infer the median.

Counting will show that this is a 12 number data set.

To find the median:

If there are an ODD amount of numbers in a data set, take the middle number. That is your median.

If there are an EVEN amount of numbers in a data set, take the middle two numbers, add them, then divide that by 2. That is your median.

Knowing this, take your middle two numbers, 51 and 72, and add them and divide by 2.

51 + 72 = 123

123/2 = 61.5

The median of this data set is 61.5.

Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.

a. (f+g)(x)

b. (f-g)(x)

Need help guys

[tex] \tt \pink{nonsense = report}[/tex]

[tex] \tt \pink{correct = brainliest.\: heart. \: rate \: 5}[/tex]

Answers

Given : f(x) = 6x - 2 and g(x) = 2x + 4 .

Need To Find : Functions : (I). (f+g)(x) &, (II). (f-g)(x) .

(I) (f+g)(x)

[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:+\:g\: \big)\:x\: \:\\\sf\quad\dashrightarrow \:f \big(x \big)\:+\:g \big(x \big)\:\:\\\sf\quad\dashrightarrow \: \big(6x-2 \big)\:+\: \big(2x+4 \big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:+\:2x+4\:\:\\\pmb{\sf\quad\dashrightarrow \:8x \: +\: 2\:}\:\\[/tex]

(I) (f-g)(x)

[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:-\:g\:\big)\:x\: \:\\\sf\quad\dashrightarrow \:f\big(x\big)\:-\:g\big(x\big)\:\:\\\sf\quad\dashrightarrow \:\big(6x-2\big)\:-\:\big(2x+4\big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:-\:2x-4\:\:\\\pmb{\sf\quad\dashrightarrow \:4x \: -\: 6\:}\:\\[/tex]

Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position

Answers

Answer:

$ 65.59 more per week

Step-by-step explanation:

Assuming she worked 52 weeks a year as a clerk :

30534     -     52 * 521.6  =  $ 3410.80 more per year

   now   each WEEK that is  3410.80 / 52 = 65.59

30-60-90 Triangle Practice

I need help with this, I do not understand anything.

(Teacher just give us hw expecting to know it already.)

Answers

Answer:

When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2 times 3 is 6.

After you figure out those problems, you just need to put the number, x, and y in an equation with 2 unknowns.

Step-by-step explanation:

Answer:

When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2times 3 is 6.

Step-by-step explanation:

What is the area of a circular pizza with a radius of 9 cm? b. 28.3c * m ^ 2 od. 1017.9c * m ^ 2 c. 254.5c * m ^ 2 a. 56.5c * m ^ 2

Answers

Answer:

254.5 cm²

Step-by-step explanation:

area = πr²

area = 3.14159 × (9 cm)²

area = 254.5 cm²

I need help finding the length of the apothem! We have to round one decimal place.

Answers

Answer: 5.2

The apothem angle is 360/10, which is 36.

Therefore, we have tangent 36  = 3.8/a

And solving for a, we find that it is 5.2

solve the inequality h/3 >8
which means h divided by 3 less than 8

PLS HELP
THANKS

Answers

Answer:

h>24

Step-by-step explanation:

multiply both sides by 3 to get ride of the denominator:

h>24

What is startfraction 3 pi over 4 endfraction radians converted to degrees? if necessary, round your answer to the nearest degree.

Answers

Unit conversion is a way of converting some common units into another without changing their real value. The value of (3π/4) radian converted to a degree is 135°.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since π radian is equal to 180°. Therefore, the value of (3π/4) radian is equal to,

1 radian = 180°/π

(3π/4) radian = (3π/4) × (180°/π) = 135°

Hence, the value of (3π/4) radian converted to a degree is 135°.

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Answer:

option 2

Step-by-step explanation:

Please help, i need right answers and be help if it with proof, ty! Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.

Which sequence of transformations will produce the same results?
a reflection over the y-axis and then a rotation 90degree clockwise about the origin
a reflection over the x-axis and then a rotation 90degree clockwise about the origin
a 180degree rotation about the origin
a reflection over the y-axis and then a reflection over the x-axis

Answers

Answer:

A. A reflection over the y-axis and then a rotation 90 degree clockwise about the origin.

Step-by-step explanation:

Given information: Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.

This means Figure H is made by G rotated CLOCKWISE and reflected over the X-AXIS.

A sequence of transformations to produce the same results could be the opposite of this, wherein Figure H undergoes a series of transformations to form Figure G.

A reflection over the y-axis flips figure H like folding a piece of paper in half vertically. To help visualize, the point (5, -2) becomes (-5, -2). A 90 degree clockwise turn about the origin makes the point (-5, -2) on figure H to become (-2, 5). Figure G has the same point at (-2, 5).so, a reflection of figure H over the y-axis and then a rotation 90 degree clockwise about the origin will form figure G, thus producing the same results.

2
3
4
5 6

8 9 10
What is the value of x in the equation 8x - 2y = 48, when y = 4
6
7
14
48

Answers

Answer:

x=7 ................................

Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than pounds of tomatoes. She bought 3 times as many pounds of tomatoes as pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?

Answers

Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Number of pounds of peaches.Variable y: Number of pounds of tomatoes.Variable z: Number of pounds of mushrooms.

She bought one more pound of peaches than pounds of tomatoes, hence:

x = y + 1.

y = x - 1.

She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:

x = 3z.

y = x - 1 = 3z - 1.

She spent a total of $80, hence considering the cost per pound of each product we have that:

6x + 3y + 10z = 80.

Considering the values of x and y as function of z and replacing in the equation, we have that:

6(3z) + 3(3z - 1) + 10z = 80

18z + 9z - 3 + 10z = 80.

37z = 83.

z = 83/37

z = 2.24.

Then:

x = 3z = 3 x 2.24 = 6.72.

y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.

Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.

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7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms

yum!

This graph talks about supply and demand can I get some help with it?

Answers

well that's Economics not Mathematics

(3x+43)^((2)/(3))+22=38

Answers

Answer:

X = 7 and -35.6666

Step-by-step explanation:

The demand function for a christmas music cd is given by q=0. 6(3800-p^2)

Answers

The expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a demand function:

q=0. 6(3800-p²)

Differentiate with respect to p:

[tex]\rm \dfrac{dq}{dp} = -1.2p[/tex]

We know the elasticity:

[tex]\rm E(p) = \dfrac{dq}{dp}\times\dfrac{p}{q}[/tex]

[tex]\rm E(p) =-1.2p \times\dfrac{p}{0.6(3800-p^2)}[/tex]

[tex]\rm E(p) = -\dfrac{2p^2}{(3800-p^2)}[/tex]

Here the data for p and q are not given, but we can find any value using the above expression by putting the known data.

Thus, the expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.

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Bob's family pays $50.37 at the pizzeria. This included a 19% tip. What was the cost of the bill without the tip percentage. (Please include how to solve it)

Answers

Answer:

$43.33

Step-by-step explanation:

50.37/119 = ?/100

cross multiply,

? = 43.3277

Give brainliest, please!

Hope this helps :)

What is the equation of the line shown in this graph?

Answers

Answer:

x = -2

Step-by-step explanation:

Since this is a vertical line, the equation of the line will not be in y = mx+b form. The slope of the line is undefined. So, the equation will be x =.

To figure out what x equals, look at all the x values in the coordinates or look to see where it crosses the x axis, which is at -2.

The equation is x = -2.

What is 7 to the 2018th power

Answers

the anwser is 49 step by step

Answer: infinity

the answer should be infinity since the number 7 will have to be multiplied with itself 2018 times.

hope that helps....

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