September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did each person read?

Answers

Answer 1

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

[tex]5y+y=108\\6y=108\\y=18[/tex]

Find the value of x

[tex]x=5y -----> x=5(18)=90[/tex]

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18


Related Questions

Compute the average (mean) from the data shown. (round to the nearest tenth)

{48 , 95 , 73 , 39 , 78 , 41 , 89 , 29 , 95}

Answers

Answer:

65.2

Step-by-step explanation:

Add them together and divide the answer by 9

What is 8+w/4 when w =16

Answers

Answer:12

Step-by-step explanation:16/4=4, 8+4=12

Answer:

12

Step-by-step explanation:

8+w/4, when w=16

8+16/4

8+4=12

a patio has an area of 9 square yards. What is its area in square inches

Answers

The area in square inches should be 11,664.

Explanation:

1 square yard = 1296 square inches

9x1296=11664 square inches

Hope this helps!

Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 pages left to read.
Let yyy represent the number of pages left to read after xxx hours.
Complete the equation for the relationship between the number of pages left and number of hours.

Answers

Answer:

[tex]y=-55x+570\\[/tex]

Step-by-step explanation:

Ah im too lazy to type out everything

The equation for the relationship between the number of pages left and number of hours is y = 555x - 555 * 444.

The relationship between the number of pages left to read (y) and the number of hours (x) can be represented by a linear equation.

Naoya reads at a rate of 555 pages per hour, which means he reads 555 pages in one hour. In 444 hours, he read 555 * 444 pages.

So, the equation for the relationship between the number of pages left and the number of hours is:

y = 555x - 555 * 444

In this equation:

- y represents the number of pages left to read.

- x represents the number of hours.

- 555x represents the number of pages he reads in x hours (555 pages per hour).

- 555 * 444 represents the total number of pages he read in 444 hours.

Learn more about Equation here:

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what are the coordinates of point T’, the image of point T(-2,5) after a rotation of 180 about the origin

Answers

Answer:

T'(2, - 5 )

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ), thus

T(- 2, 5 ) → T'(2, - 5 )

After a 180-degree rotation about the origin, the coordinates of point T' that is the image of T(-2,5) are (2,-5).

The coordinates of point T' after a rotation of 180 degrees about the origin are found by changing the signs of the original coordinates. The point T(-2,5) will thus be mapped to point T'(2,-5). This is because the 180-degree rotation reverses the direction of both the x and y coordinates. So, if the original point T has coordinates (x, y), then the rotated point T' will be (-x, -y).

which of the following is equivalent to the equation 4x+7y=z?

Answers

The equivalent expression is: B. y = ((z + 4x)) / 7

To find an equation equivalent to 4x + 7y = z, we want to isolate one of the variables (either x or y on one side of the equation.

Let's isolate x in terms of y and z:

Starting with 4x + 7y = z, subtract 7y from both sides:

4x = z - 7y

Now, divide both sides by 4 to solve for x:

[tex]\[x = \frac{z - 7y}{4}\][/tex]

Therefore, the correct choice is option B: [tex]\(x = \frac{z - 7y}{4}\)[/tex].

Complete question:

Which of the following is equivalent to the equation 4x+7y=z ?

A. x=4z-28y

B. x= ((z-7y))/4

C. y=7z+28x

D. y= ((z+4x))/7

Matthew built 30 toys airplanes in 5 hours. What was Matthew’s unit rate for building the airplanes?

Answers

It would be 6 toys per hour due to the fact that 30 toys divided by 5 hours would come out to 6

the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centimeters long,how long is the actual room​

Answers

Answer:

6meters

Step-by-step explanation:

Use simple proportion

2cm = 1m

12cm = ?

(12x1)/2 = 6m

Answer: 6m

Step-by-step explanation:

Please answer this correctly

Answers

Answer: Steven

Step-by-step explanation: Steven lives further away from the park than anyone else.

Answer:

Steven

Step-by-step explanation:

I am going to use > and < signs to solve the problem.

From the first sentence,

Allie < Steven but Allie > Layla, so

Layla < Allie < Steven

From the second sentence,

Dave < Layla, so

Dave < Layla < Allie < Steven

Steven lives farther from the park

What is the LCM of 36 and 108?

Answers

Answer:

Answer is 108

Step-by-step explanation:

See answer in above picture or attachment

The least comm multiple for 36 and 108 is 108. This is because 36 is already a multiple of 108 so it will be the least common multiple between both numbers.

Solve for y 3(2y+5)=33 what do y=

Answers

3(2y+5)=33
6y + 15 = 33
6y = 33-15
6y = 18
y = 18/6
y = 3

Answer:

y = 3

Step-by-step explanation:

Given

3(2y + 5) = 33 ( divide both sides by the multiplier 3 )

2y + 5 = 11 ( subtract 5 from both sides )

2y = 6 ( divide both sides by 2 )

y = 3

What is the absolute value of -|-7 3/5|

Answers

Answer:

7 3/5

Step-by-step explanation:

The absolute value is never a negative.

Ex: What is the absolute value of -37

A. 37

7. Write the number 0.21212121... as a fraction.
Let x =
100x =
100x - x =
99x =
x=
So 0.2121... is equal to

Answers

Answer:

21 / 99

Step-by-step explanation:

You want to get rid of the decimals so

Let x = 0.21212121

then 100x = 21.21212121

then 100x - x = 21

99x = 21

x = 21 / 99

So 0.2121... is equal to 21 / 99

Final answer:

To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. The fraction equivalent of the decimal is 21/99.

Explanation:

To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. Let x = 0.21212121... . Multiplying both sides of the equation by 100 gives 100x = 21.21212121... . Subtracting the original equation from this, we get 99x = 21, which means x = 21/99. Therefore, the decimal 0.21212121... is equal to the fraction 21/99.

Learn more about Converting a repeating decimal to a fraction here:

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Please help!!!!!!!!! ☝

Answers

Answer: About 9

Step-by-step explanation:

4/7 of 20 is about 11. 20-11 is 9

The current value of a baseball card is 60 times its original value v
(in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card.

Answers

60v = $15

60v/60 = $15/60

v = 0.25

The original value of the baseball card is $0.25

If sales tax is 7%, what is the total cost of both a new iphone that is $600 and a $50 case?

Answers

The cost for the phone and the case is 600 + 50 = $650

Multiply total cost by 7% to get the tax.

The tax would be 650 x 0.07 = $45.50

Add the tax to price of the phone and case to get total:

650 + 45.50 = $695.50

The relation R is shown in the table below.
*
Y
-
35
-1 | 2
1
- 1
_
14
-1
Domain:
Range:

Answers

Answer:

(Insert table here)

Domain: {-3,-1,1}

Range: {-1,2,4,5}

The relation Q is described as a list of ordered pairs, shown below.

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

Domain: {-2,-1,0,4}

Range: {-2,2,3,4}

Step-by-step explanation:

Because its the answer

The Domain: {-3,-1,1} and Range: {-1,2,4,5}

What is domain and range?

Domain – All of the values that go into a relation or a function are called the domain.

Range – All of the entities (output) which emerge from a relation or a function are called the range.

All input values that are used (independent values) forms the Domain set.

All output values that are used (dependent values) forms the Range set.

Example: Given Function:- f = 2x+1 , Find the domain, range if 1<=x<=5.

The values of x lies from 1 to 10.

So, domain is {1, 2, 3, 4, 5}.

The values of f obtained by putting domain elements in the function will be range.

So, if x=1 then f = 2(1)+1 = 3,if x=2 then f = 2(2)+1 = 5, if x=3 then f = 2(3)+1 =7, if x=4 then f = 2(4)+1 = 9, if x=5 then f = 2(5)+1 = 11.

So, range is {3,5,7,9,11}.

We have relation Q as

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

so, we know domain are the input values

Domain: {-2,-1,0,4}

and range are the output values

Range: {-2,2,3,4}

What's the difference between a rational number and an irrational number. Give one example of each.

Answers

Answer: A rational number is any value that can be expressed as a ratio of two integers. An irrational number is any value that cannot be expressed as a ratio of two integers.

Rational 4 and 1/4

Irrational π and √3

If a number can be written in the form of the fraction of p and q then that number is known as the rational number whereas a number is not written in the form of the fraction p and q then that number is known as the irrational number.

Rational Number - If a number can be written in the form of the fraction of p and q then that number is known as the rational number, that is:

[tex]\rm Rational \;Number = \dfrac{p}{q}[/tex]

Where q is the denominator and p is the numerator.

For example -  [tex]\dfrac{4}{3}[/tex] , [tex]\dfrac{1}{4}[/tex] , etc

Irrational Number - If a number is not written in the form of the fraction p and q then that number is known as the irrational number, that is:

[tex]\rm Irrational \;Number \neq \dfrac{p}{q}[/tex]

Where p is the numerator and q is the denominator.

For example - [tex]\pi, \sqrt{3}[/tex], etc

For more information, refer to the link given below:

https://brainly.com/question/23017717

What is the solution
y = 1/2y-6
X=-4

Answers

y=1/2x-6
y=1/2(-4)-6
y=-2-6
y=-8

Neeeed help pleaseeeee????

Answers

Answer:

Leonard did make an error. He should have multiplied -7 by -5

Step-by-step explanation:

When you multiple a negative by a negative, it is a positive.

What is equal to 20/40?

Answers

Answer:

1/2 is equal to 20/40

that is the answer

20/40

divide the fraction by 20

20/20=1

40/20=2

Answer: 1/2

At 7:17AM this morning, it was 83˚F outside. What is 83˚F in Celsius? What is 83˚F in Kelvin?

Answers

Answer: 28.33 Celsius and 301.483 Kelvin

83°F − 32) × 5/9 = 28.333°C

(83°F − 32) × 5/9 + 273.15 = 301.483K

so what is the square root of 81

Answers

Answer:

The 2nd root of 81, or 81 radical 2, or the square root of 81 is 9.

HOPE THIS HELPED!!!!!!!!!!!!! XDDDDDDDDD

A bowling ball is traveling at 15 mi/h when it hits the
pins. How fast is the bowling ball traveling in feet per
second?

Answers

22 feet per second is the answer

Can someone please do 1,2 and 3 please

Answers

Answer:

1. x= -1, -5

2. x= 9, -15

3. x= 3. -3

Step-by-step explanation:

What is -18x - x = 5x -6 PLEASE ANSWER CORRECTLY IT IS MY HOMEWORK

Answers

Answer:

[tex]\large\boxed{x=\dfrac{1}{4}}[/tex]

Step-by-step explanation:

[tex]-18x-x=5x-6\\\\-19x=5x-6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-19x-5x=5x-5x-6\\\\-24x=-6\qquad\text{divide both sides by (-24)}\\\\\dfrac{-24x}{-24}=\dfrac{-6}{-24}\\\\x=\dfrac{6:6}{24:6}\\\\x=\dfrac{1}{4}[/tex]

Please need help on this

Answers

Answer:

a. 276 vehicles

Step-by-step explanation:

7⁄10[13½] + 3⁄10[20] + 3v - 3 = [4][5280]

[tex] \frac{10323}{( \frac{7}{10})(13 \frac{1}{2}) + ( \frac{3}{10})(20) + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 6 + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 9} = v \\ \\ \frac{10323}{18 \frac{9}{20}} = v \\ \\ 559 \frac{21}{41} = v[/tex]

Now, we check to see which answer choice this quantity is closer to. Obviously, we will take 896 and 276:

-559 21⁄41 + 896 = 336 20⁄41

559 21⁄41 - 276 = 28221⁄41 → we take this number

* 559 21⁄41 is much more closer to 276 than it is to 896.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

There are 15 pieces of fruit in a box . 4 are apples. There are 3 more pears than bananas. How many pears are in the box ?

Answers

There are 7 pears



Cus 15-4=11
Then 11-3 (cus 3 go into the pear pile)
You’re left with 8 divided by 2 is 4 (4 pears and 4 banana)
3 pears + 4 pears is a total of 7 pears!!!
There are 7 pears, your welcome

I need help with number 1

Answers

Answer:

1a. 0< -4 false

1b. -3> or = -7 true

1c. 4<= -1/2 false

kimos car needed work the mechanic charged him 146.36 for parts plus 48$ per hour for labor if the mechanic worked for 3.5 hours how much did kimo pay

Answers

$314.36

48•3.5=168

168+146.36=314.36
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