Lucy has read 500 pages of her summer reading assesment, and Angie has read 460 pages. Lucy has reads 10 per week for the remainder of the summer, and Angie reads 20 pages per week for the remainder of the summer. Write and solve an equation to show how many weeks it will take before the girls have read the same amount of pages.​

Answers

Answer 1

Answer:

It would take four more weeks before the two read the same number of pages.

Step-by-step explanation:

Let [tex]x[/tex] denote the number of extra weeks required before the two read the same number of pages.

Express the number of pages each would read between now and [tex]x[/tex] weeks into the future:

Lucy reads [tex]10[/tex] pages per week. Thus, she would have read [tex]10\, x[/tex] additional pages after [tex]x[/tex] more weeks.

Angie reads [tex]20[/tex] pages per week. She would've read [tex]20\, x[/tex] additional pages after [tex]x[/tex] more weeks.

It is also given that Lucy has already read [tex]500[/tex] pages. After reading [tex]10\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Lucy would have read a total of [tex](500 + 10\, x)[/tex] pages.

Likewise, after reading [tex]20\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Angie would have read a total of [tex](460 + 20\, x)[/tex] pages.

It is assumed that the two would have read the same number of pages after these [tex]x[/tex] more weeks. In other words:

[tex]500 + 10\, x = 460 + 20\, x[/tex].

Solve this equation for [tex]x[/tex]:

[tex]x = 4[/tex].

In other words, Lucy and Angie would have read the same number of pages after four more weeks.


Related Questions

Please help i really need it, i will give brainliest to the right answers

What is the value of 2^4 + 1/4||9x + 2|| when x = –2?

Answers

Answer:

-292 1/2

Step-by-step explanation:

PEMDAS

Perenthesis

2 To the power of 4 = 16 + 1/4 = 16/1 + 1/4 X -18

Order the numbers from least to greatest 0.607, 607, 6.07, 60.7

Answers

Answer:

0.607, 6.07, 60.7, 607

Step-by-step explanation:

Consider the transformation shown.

Use the drop-down menus to complete the sentence.

The transformation is ________________..

1a. isometric

1b. nonrigid

1c. rigid


because the______________..

2a. segment lengths are not

2b. segment lengths are

2c. angle measurements are not

2d. angle measurements


preserved

Answers

nonrigid

segment lengths are not

Answer:

1 Nonrigid

2 segment lengths are not

HELPPPPP PICTURE BELOW! MATHHHH

Answers

Answer:

8

Step-by-step explanation:

if it's saying that 32/52 is equal to x/13, then we know that 32/52 is divisible by the mystery fraction.

since both fractions have a denominator, divide them.

52÷13=4

then, divide the answer, 4, by 32.

32÷4=8.

therefore, your answer is 8.

hope this helps!

Answer:

8

Step-by-step explanation:

A trick with equal fractions will be that the cross multiply will create equal answers

13(32) = 52(?)

To find the missing number, just divide the known product by the missing number's multiplicand.

? = 13(32)/52 = 8

To verify

13(32) = 416

52(8) = 416

Yup!

 

What kinds of education did Martin Luther king JR have in high school and college?
Answer ASAP

Answers

Step-by-step explanation:

graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.

King entered Morehouse at the age of fifteen. In 1948, he graduated from Morehouse College with a B.A. degree in Sociology. That fall, he enrolled in Crozer Theological Seminary in Chester, Pennsylvania. While attending Crozer, he also studied at the University of Pennsylvania.

Hey what is 9x238
any help?

Answers

Answer:

2142

Step-by-step explanation:

2,142 would be your answer when you multiply these numbers. I hope this helps :)

he product of two whole numbers is 864 and their sum is 60 . What are the two numbers?

Answers

Answer:

Step-by-step explanation:

xy = 864

x + y = 60                     Solve for y in the second equation

y = 60 - x                      

x * (60 - x) = 864          Remove the brackets.

60x - x^2 = 864           Put in order of powers and subtract 864

-x^2 + 60x - 864 =0    Multiply through by -1

x^2 - 60x + 864 = 0

This factors

(x - 36)(x - 24) = 0

Either

x - 36 = 0    in which case

x = 36

or

x - 24 = 0

x = 24

The two numbers are x = 36 and y = 24

of x = 24 and y = 36

13. There are 6 times as many dogs as cats. If the total number of dogs
and cats is 21, how many dogs are there?

Answers

Answer: The answer you would be looking for is 126.

Step-by-step explanation:

If theres 21 you are multiplying by 6 and that is 126

I need help with these two. One of them I need help with what to write for the writing part (Also need help for making sure I am correct) And the other I need help o with the math and writing part.

Answers

The writing part for the exponential function:
“As x approaches negative infinity, y approaches 0.

As x approaches positive infinity, y approaches positive infinity”


And the other part for the absolute value function:
The function is Positive: x > -3 and x<-5, negative:-5-4, decreasing: x<-4

“As x approaches negative infinity, y approaches positive infinity and

As x approaches positive infinity, y approaches positive infinity”

You and your mom enter a drawing with 3 different prizes. A total of 10
people entered the drawing, and prizes are awarded randomly.
There are 720 ways to award the prizes.
What is the probability that you win
prize?
first prize and your mom wins second

Answers

Answer:

Step-by-step explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that I win the first prize and my mom wins the second prize would be 8/720

label the coordinator ( x,y) of two points on the graph​

Answers

Answer:

Needs to specify. But here, this may help

Step-by-step explanation:

Depending on if the x and/or y are positive or negative will depend on were the dots will be placed on the graph.

Places the points are simple.

X is across, Y is up and down.

Example,

If you need to plot (4, 3)

You will need to start at the center point (0,0)

You must go over to the right 4 places, and go up 3 places. That is the easiest way to graph.

Labeling,

It will kind of be the same way. Find out how many places the point is from the (0,0) on the x axis, and y axis.  

-1+3[(10-12)/(-16) ]

Answers

-5/8 is the answer

-1 + 3(-2/-16)
-1 + 3(1/8)
-1 + 3/8
-8/8 + 3/8
-5/8

Please help!!!
Solve for X

Answers

Answer:

[tex]x = - \frac{1}{56} [/tex]

Step-by-step explanation:

-x/56x = 2

-1/56 = 2

x = -1/56

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer: The actual gym is 120 feet long.

Explanation:
24 * 5 = 120

How to find t= 2,500•(1.1)^100 round to the nearest whole number

Answers

Answer:

2600

Step-by-step explanation:

you added 2;500 to the 100

How to convert the mixed number to a fraction
6 and 1 over 7?

Answers

Answer:

43/7

Step-by-step explanation:

6  1/7

First, you need to multiply 6 by 7, then add 1

43/7

Answer:

[tex]\frac{43}{7}[/tex]

Step-by-step explanation:

6 x 7 + 1

there is 6 whole fractions so it would be [tex]\frac{7}{7}[/tex] 6 times then add the [tex]\frac{1}{7}[/tex]

which would be [tex]\frac{43}{7}[/tex]

hopefully that made sense!

Polynomials

Multiply 5x(x2 - 4x + 2)

Answers

Answer:

Assuming "x2" is x squared:

5x(x2-4x+2)

(5x(x2)+5x(-4x)+5x(2))

5x^3-20x+10x

For these polynomial multiplication problems, just distribute the number outside the parentheses.

Answer:

[tex]5x^3-20x^2+10x[/tex]

-8-(-10)= -8 and if u add +10 what is the answer?

Answers

Answer:

8-(-10)=-8+10=8 your answer is 8

Step-by-step explanation: sorry if its incorrect

What is 504,622 + 715,336?

Answers

Answer:

1,219,958

Step-by-step explanation: You add 2+6=8 + 10+3=13 + 19+3=22 + 26+5=31 + 31+1=32 + 5+7=13, add them all and its equal to 1,219,958.

Help help pelesse please

Answers

Answer:

450

Step-by-step explanation:

9×50=450

have a good day

70 percent of 38.20 is what

Answers

Answer:

26.74

Step-by-step explanation:

38.20 x 0.70

= 26.74

10x - 80 = 16x - 12
what is x?

Answers

I just did it on paper but hope that helps:)

Which of the following is true?

A. |−8| < 6
B. |−6| < |−8|
C. |8| < |−6|
D. |−6| < −8

Answers

Answer:

B. |-6| < |-8|

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

What is the difference of 9.2 and 0.03

Answers

Answer:

9.17

Step-by-step explanation:

9.20-0.03=9.17

Answer:

9.17

Step-by-step explanation:

9.20

-0.03

_____

9. 17

Subtract fractions : 7/12 - 4/15

Answers

Answer:

[tex]\frac{19}{60}[/tex]

Step-by-step explanation:

[tex]\frac{7}{12} -\frac{4}{15} \\=\frac{35}{60} -\frac{16}{60} \\=\frac{19}{60}[/tex]

Answer:

[tex]\frac{19}{60}[/tex] or 0.3166667

Step-by-step explanation:

let's first make the denominators the same so it can be easier to subtract:

[tex]\frac{7}{12}[/tex] × [tex]\frac{15}{15}[/tex] = [tex]\frac{105}{180}[/tex]  and [tex]\frac{4}{15}[/tex] × [tex]\frac{12}{12}[/tex] = [tex]\frac{48}{180}[/tex]

so now we do:

[tex]\frac{105}{180}[/tex] - [tex]\frac{48}{180}[/tex]  =  [tex]\frac{57}{180}[/tex]  = [tex]\frac{19}{60}[/tex]


The Massachusetts Bay Colony set up a government known as?

Answers

Answer:

Next, in 1630, the Puritans used the royal charter establishing the Massachusetts Bay Company to create a government in which “freemen”—white males who owned property and paid taxes and thus could take on the responsibility of governing—elected a governor and a single legislative body called the Great and General Court ...

Answer:

Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.

Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.Related Places: United States British Empire Massachusetts American colonies

Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.Related Places: United States British Empire Massachusetts American coloniesRelated Topics: Western colonialism Puritanism theocracy “Bay Psalm Book”

What the hell is a lower quartile and a tangent please help

Answers

Answer:

A lower quartile is the value under which 25% of data points are found when they are arranged in increasing order. A tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

Step-by-step explanation:

b) In 3x?, the 3 is called the____

please help​

Answers

Answer:

3 is the coefficient

Step-by-step explanation:

The number in front of the variable is called the coefficient

3x

3 is the coefficient

x is the variable

Find the area of the figure. (Sides meet at right angles.)
15 yd
9 yd
9yd
5 yd
5 yd
5 yd
4 yd
4 yd

Answers

Answer:

115 square yards

Step-by-step explanation:

yeah-ya....... right?

The area of the figure is 115 yd².

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

A figure:

This can be assumed to have two rectangles and one square.

Two rectangles are equal with dimensions:
Length = 9 yd

Width = 5 yd

The square has side = 5 yd.

Now,

Area of the figure.

= 2 x area of rectangle + area of the square

= 2 x (length x width) + side²

= 2 x (9 x 5) + 5²

= 2 x 45 + 25

= 90 + 25

= 115 yd²

Thus,

The area is 115 yd².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

what is the answer to this question (-4uv²)³​

Answers

Answer:

     [tex]-64u^{3}[/tex][tex]v^{6}[/tex]

Step-by-step explanation:

Answer:

(-64u³vto the 6th power)

Step-by-step explanation:

(4³u³v to the 6th power)

(-64u³vto the 6th power)

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