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

Write an absolute value equation of the form |ax+b|=cx+d that has no solution. Assume that a, b, c and d ≠0

Answers

9514 1404 393

Answer:

|3x +5| = 3x +1|3x +5| = x -1

Step-by-step explanation:

The left-side expression will not intersect the right side expression if the slopes are the same and the y-intercepts are chosen appropriately. An example is ...

  |3x +5| = 3x +1

The right-side line stays below the left-side V, so doesn't intersect.

__

You can choose the slopes to be different, also, if you make the intercepts such that the right-side line does not intersect the left-side V. An example of that is ...

  |3x +5| = x -1

__

Graphs of the left- and right-side expressions are shown in the attachment.

A new movie theater holds 350 people with 14 seats in every row. Use division to find how many rows are there in the theater.

Answers

Answer:25

Step-by-step explanation:

350 / 14 =25

ANSWER QUICK PLEASE!!
combine like terms. 8x + 3 - 5x + 9
A. -13x - 12
B. 13x + 12
C. 3x - 6
D. 3x + 12
NO LINKS OR WEBSITES!!

Answers

Answer:

D

Step-by-step explanation:

8x-5x+3+9=3x+12

combine like terms

So in algebra you always add letter separately and number separately

8x-5x=3x
3+9=12
So the answer would be:
3x+12
So D

A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.

Answers

Answer:-

According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.

Step-by-step explanation:-

Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.

✍️ By Benjemin

Explain step by step please!

Thirty copies of a textbook weigh a total of 75lb. What is the weight of each book?

Answers

Answer:

Each book weighs 2.5 pounds.

Step-by-step explanation:

75/2.5 is 30.  Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.

Answer:

2.5lb

Explanation:

In equation form the question is asking for x in

[tex]30(x) = 75[/tex]

Since multiplication is reversible (to be division), we can switch the equation up.

[tex]75[/tex] ÷ [tex]30 = x[/tex]

So the answer is

[tex]75[/tex] ÷ [tex]30 = 2.5[/tex]

whats 76x168 + 69+87=

Answers

Answer:

12,924

Step-by-step explanation:

76x168= 12,768

and...

69+87= 156

now we add them together...

12,768+156= 12,924

Hope this helped you- have a good day bro cya)

vivien needs to proofread a 500 page novel she plans to do 30 page on the first day and increase the number by 5 each dag how many days will it take her to complete the proof reading?​

Answers

Answer:

Step-by-step explanation:

in the problem it says she plans to do thirty pages so lets let 30 be our y value so ?x +30 and she plans to increase by 5 each day key word is each which means multiply so let 5 be our x value which will give you the equation 500=5x+30 so step by step here we go

                                                500=5x+30

1. 500=5x+30

500 −30= 5

Answer:

I think about 9 days

Step-by-step explanation:

first day is 30 next is 35, 40,45,50,55,60,65,70,75

i dont is this what u wanted but its done and it is

by the 9ths day you would have 525

i dont know what i did

3 2/3 +2.3with a line on top of the three =

Answers

Answer: =5 29/30

Step-by-step explanation:

Solution by separating parts

Rewriting our equation with parts separated

=3+2/3+2+3/10

Solving the whole number parts

3+2=5

Solving the fraction parts

2/3+3/10=?

Find the LCD of 2/3 and 3/10 and rewrite to solve with the equivalent fractions.

LCD = 30

20/30+9/30=29/30

Combining the whole and fraction parts

5 + 29/30=5 29/30 hope this helps

Answer:

Do you mean 3⅔ + ⅔? If so, the answer is 4⅓.

Step-by-step explanation:

3⅔ + ⅔

[convert mixed fraction to improper fraction]

11/3 + 2/3

[LCM is 3]

(11+2)/3 = 13/3

[convert improper fraction to mixed fraction]

13/3 = 4⅓

multiplicative inverse of 3/7 x 2/7

Answers

[tex] \frac{ - 7}{3} \times \frac{ - 7}{2} [/tex]It is the multiplicative inverse of 3/7 × 2/7

Sorry if I didn't understand the question right-

Answer:

[tex]\frac{49}{6}[/tex]

Step-by-step explanation:

The inverse of [tex]\frac{3}{7}[/tex] is [tex]\frac{7}{3}[/tex].

The inverse of [tex]\frac{2}{7}[/tex] is [tex]\frac{7}{2}[/tex].

Now we multiply:

[tex]\frac{7}{3}[/tex] × [tex]\frac{7}{2}[/tex] = [tex]\frac{49}{6}[/tex]

Hope this helped :)

Why does that answers show sometimes but not all the time

Answers

Answer:

Don’t be lame

Step-by-step explanation:

Cheaters are lame

Answer:

thats because of brainly ads, if u don't want the brainly ads u have to get premium.

Step-by-step explanation:

HELP LAST ATTEMPT !?!!

Answers

Answer:

x=21

Step-by-step explanation:

10+2x+128=180 [Angles in a straight line]

2x=180-138

x=42/2

x=21

how long does a pregnancy last will give 100 points I'm in test
a 1day
b 1mounth
c 2weeks
d 1year

Answers

Answer: D is the answer

Step-by-step explanation:

And why are you asking this question? Are you a girl?

Which of the following is an equation of the line In the graph? A.3x-y=4 B.3x+y=4 C.-3x-y=4 D.-3x+y=4m

Answers

9514 1404 393

Answer:

   B.  3x+y=4

Step-by-step explanation:

The constant on the right is positive, so the signs of the coefficients match the signs of the respective intercepts. The graph shows both x- and y-intercepts are positive, so the equation will have positive coefficients everywhere. The appropriate choice is ...

  3x +y = 4

1 A boat travels at an average speed of 15 km/h for 1 hour.
a Calculate the distance it travels in one hour.
b At what average speed will the boat have to travel to cover the
same distance in 2 hours?

Answers

Answer: 15km, 7.5kmh

Step-by-step explanation:

a. Distance travelled = speed * time = 15* 1 =15km

b. Distance = 15

time = 2hrs

Speed = distance/time = 15/2 = 7.5kmh

What is the volume of the rectangular prism shown

Answers

Multiply 1/4 in. by 1/2 in. to get the area of the base, which would be 1/8.

And then multiply this by 1 and 3/4 (or 7/4), which will give you the volume of 7/32 in.

you and your freind are going on a camping trip.you each buy a backpackthat cost $90 and a sleeping bag that costs $60.what is the total cost of the camping eqiptment?​

Answers

Answer:

$300

Step-by-step explanation:

90 x 2 = 180

60 x 2 = 120

120 + 180 = 300

Select the correct answer.
Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per
bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Which graph represents the number of topsoil bags and mulch bags that Sam can move in a single trip?

Answers

Answer:

The answer would be the A (I included a picture to show you which one it is)

Step-by-step explanation:

Options D and E are out because it clearly says " bags can only carry up to 480 pound" and those are saying it can hold more than 480

Options B and C have a dashed line. If it has a dashed line that means that it is < or > and it is not because it says "up to" up to means it CAN hold exactly 480

So the only right answer would be Option A

Answer:

A

Step-by-step explanation:

Got it right off Edmentum!!

find the center and radius of the circle whos equation is (x+5)^2+(y-3)^2=9

Answers

9514 1404 393

Answer:

  center (-5, 3)

  radius 3

Step-by-step explanation:

Compare the given equation to the standard form equation of a circle:

  (x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r

This shows us that ...

  -h = +5   ⇒   h = -5

  -k = -3   ⇒   k = 3

  r² = 9   ⇒   r = √9 = 3

Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.

Read the sentences:

There is evidence that suggested Nero, the Roman Emperor, enjoyed frozen treats and demanded that a constant supply of ice from the mountains be available to him. He wanted to be able to eat the delicious dessert whenever he pleased. He added honey to the top of his dessert regularly.

What words in the text show that the word constant means something that occurs all the time?

a. Available, regularly
b. Demanded, wanted
c. Enjoyed, treats
d. Supply, dessert

Answers

A. This is because c and d don’t make sense. B could mean he didn’t have it but wanted it. A is the only logical answer.

Find the selling price of a $16,000 SUV with a 20% markup

Answers

Answer:

how are we ment to know

.563 rounded to nearest hundredth

Answers

Answer:

.56

Step-by-step explanation:

.56
Because 3 is less than 5

Solve for y: 42/10 = 21/y

Answers

Answer:

Y = 5

Step-by-step explanation:

Correct answer: y = 5

By cross multiplication, you multiply 21 × 10, which is 210. Then, you divide 210 by 42, which is 5.

Simple Linear Regression Unit Test Plz help 1 hr 20 mins left.

Answers

Answer:

123456

Step-by-step explanation:

it is pie 3.14 because it is

What is a general rule for simplifying expressions like x^a .x^b? where does this rule
comes from

Answers

So, x^a*x^b would simplify to x^(a+b)

As for the proof of this,
Given that addition, subtraction, multiplication, and division are already known and don’t need to be proved, we know:

x^a = x*x*x… (a times)
x^b = x*x*x… (b times)

If we were to multiply these two expressions together, we’d simply get:

x^a*x^b = x*x*x… (a+b times)

And thus, that is why

x^a*x^b = x^(a+b)

need explanation with these problems! help me please!

Answers

Answer: 4

Step-by-step explanation:

Find multiples of 12 and 16

4 is a common multiple

if you start from 1/4 and add 4 to the denominator and 1 to the numerator you get the following sequence:

1/4, 2/8, 3/12 and 4/16

Therefore the answer to the problem is 4

If you have any more simple algebra question pls message me :)

Help me plz

It’s question 2

Answers

Answer:

angle a is acute and angle b is obtuse

Step-by-step explanation:

Angle A: Acute

Angle B: Obtuse

The middle school is purchasing shoes for its basketball team. The cost of
each pair of shoes is $42. The total cost, t,is proportional to s,the number
of pairs of shoes ordered. Which of the following equations models this
proportional relationship? *

Answers

Answer:

9s = 378t      

is the same as  (9 x 42)   etc...

Step-by-step explanation:

I don't have the choice of answers of what is being said as proportional but an example is here below of what numbers are multiples of 42 and therefore found its proportion this way.

10s = 420t       (10 x 42)

9s = 378t         (9 x 42)   etc...

8s = 336t

7s = 294t

6s = 252t

5s = 210t    (5 x 42)

4s = 168t    etc....

The arithmetic mean of ten numbers is -10. If the sum of six of the numbers is 100, what is the arithmetic mean of the other 4?

Answers

Answer:

56

Step-by-step explanation:

Arithmetic mean is simply the sum of the all the number present divide by the total number.

From the question, we obtained the following information:

The arithmetic mean = 5.6

Total number present = 10

Sum of the numbers =?

Arithmetic mean = sum of the numbers / total number

Sum of the numbers = arithmetic mean x total number

Sum of the numbers = 5.6 x 10 = 56

The sum of the other four numbers is equivalent to -200.

What is a mathematical function, equation and expression?            function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that the arithmetic mean of ten numbers is -10. The sum of six of the numbers is 100.

We can write -

{a + b + c + d + e + f + g + h + i + j}/10= - 10

{a + b + c + d + e + f + g + h + i + j} = - 10 x 10

{a + b + c + d + e + f + g + h + i + j} = - 100    .... Eq{1}

and

{a + b + c + d + e + f} = 100             .... Eq{2}

We can write Eq{1} as -

{a + b + c + d + e + f} + {g + h + i + j} = - 100

100 + {g + h + i + j} = - 100

{g + h + i + j} = - 100 - 100

{g + h + i + j} = - 200

Therefore, the sum of the other four numbers is equivalent to -200.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

what is the volume of the following figure. all of the cubes are visible​

Answers

Answer:

Is there an image you can post? I dont see the figure.

Find the equation of this line

Answers

Answer:

x-3y=-6

Step-by-step explanation:

-3 1 3 3

Slope= (3-1)/(3--3)=2/6=1/3

y-intercept=2

y=mx+c

y=1/3 x+2

3y=x+6

x-3y=-6

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