Anna and Hannah have \$80$80dollar sign, 80 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Anna was suspicious, so she invested \$20$20dollar sign, 20 only, but Hannah invested her entire \$80$80dollar sign, 80. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Hannah invested all of the money returned to her, and Anna invested the money returned to her and the remaining \$60$60dollar sign, 60. Again, they got a sum rrr times as great as what they invested. In the end, Hannah had twice the amount Anna had.
Write an equation in terms of rrr that models the situation.

Answers

Answer 1

9514 1404 393

Answer:

  2r(20r +60) = 80r^2

Step-by-step explanation:

Anna's first investment:

  20

Anna's first return:

  20r

Anna's second investment:

  20r +60

Anna's second return:

  r(20r +60)

__

Hannah's first investment:

  80

Hannah's first return, and her second investment:

  80r

Hannah's second return:

  80r^2

__

Twice Anna's return was equal to Hannah's return:

  2r(20r +60) = 80r^2


Related Questions

The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and length

Answers

Answer:

Width: 15 Length: 53

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST IF YOU CAN ANSWER PLEASE !?

Its propertys i have yo find which property it is please help?.

Answers

Answer:

Given

distributive property

Subtraction property of equality

Addition property of equality

Division property of equality

Solution

Step-by-step explanation:

Distributive Property!! Lmk if that isn’t right

a cookie recipe uses 5/6 cups of sugar lindsey is making 1 1/2 times what the recipe calls for how much sugar is she using

Answers

Answer:

1 1/4 cups of sugar

Step-by-step explanation:

5/6 x 1 1/2 = 1 1/4

Answer:

5/4 cup of sugar.

Step-by-step explanation:

The recipe calls for 5/6 of a cup of sugar, so if you're making 1.5 times what the recipe calls for, you multiply 5/6 by 3/2 (or 1.5 if you prefer decimals) which would give you 15/12. Then simplify down to get 5/4 (or 1.25) cups of sugar.

Note: 5/4 also equals 1 1/4, they are both correct, it just depends on which way you choose to write it, or how your teacher wants you to write it.

5(x−2)−3(2−x) pls answer pls i need help

Answers

You can use distribute for this
5x-10-6+3x
Then combine like terms
Then your answer should be
8x-16

A circle measures _____.

Answers

Answer:

360 degress

Step-by-step explanation:

the circumference of a circle is its perimeter or distance around it. it is denoted by c in math formulas and has units of distance, such as milimeters, centimeters, meters, or inches. the circumference of a circle is the easured total length around a circle, which when measured in degrees in equal to 360 degress.

Solve for x2:

y2 − y1 = m(x2 − x1)


this is literal equations btw

Answers

Answer:

x2 = y2/m - y1/m + x1

Step-by-step explanation:

Expand

y2 - y1 = mx2 - mx1

Rearrange

y2 - y1 + mx1 = mx2

Divide both sides by m to make x2 on its own

y2/m - y1/m + x1 (m's cancel out) = x2

Hence:

x2 = y2/m - y1/m + x1

Answer:

x2 = x1 +  (y2 - y1)/m

Step-by-step explanation:

Given equation

y2 − y1 = m(x2 − x1)

Solving for x2

y2 − y1 = m(x2 − x1)  ⇒ divide both sides by m(y2 - y1)/m = x2 - x1  ⇒ add x1 to both sidesx2 = x1 +  (y2 - y1)/m

or

x2 = x1 + y2/m - y1/m

Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing, what would the inequality be?

Answers

The inequality is  0.75x greater than or equal to y

Step-by-step explanation:

Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.

To find : Which inequality represents this situation?

Solution :  He plays trumpet for a minimum of 45 minutes

If x is the number of days that Lionel practices then he practices for at least  

hours

y is the total number of hours he spends practicing

So, the inequality form is:

i.e, 0.75x is greater than y.

Here’s an algebra problem given 20 points and brainliest if correct

Answers

Answer:

12/7

Step-by-step explanation:

Hello,

C is  the point (0,0)

D is the point (7,12)

So

[tex]\text{slope} =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{12-0}{7-0}=\dfrac{12}{7}[/tex]

thanks

Answer:

12/7 possibly.

Step-by-step explanation:

Point C is (0,0) and point D is (7,12). Using the formula given, You should have something that looks like this:

[tex]\frac{(12-0)}{(7-0)}[/tex]

Then you solve:

[tex]\frac{12}{7}[/tex]

That would be your answer I believe.

I hope it helps.

Find the value of f(-5).

Answers

Answer:

-5f

Step-by-step explanation:

move -5 to the left of f

A glass is 1/4
full. Then 70cm3 of orange juice is poured in.
The glass is now 3/5
full. What is the total volume of the glass?
Can you please tell me how to do it as well. Thanks

Answers

749 because it says according to doctor cacarooly

A snail traveled 2 feet in 90. How far will it travel in 6 hours?

Answers

Answer:

it will travel 8 minutes

Step-by-step explanation:

Answer:

[tex]\frac{2}{15}[/tex] feet

Step-by-step explanation:

Set up a proportion: [tex]\frac{2}{90} = \frac{x}{6}[/tex]  Cross multiply, then divide: 2 × 6 = 12, 12 ÷ 90 = [tex]\frac{2}{15}[/tex]  

I hope this helps!

can you help me with this please​

Answers

It is 9 I hope this helps

Answer:

f(3) = -9

Step-by-step explanation:

Given that,

→ f(x) = -7x + 12

Then the value of f(3) will be,

→ f(3) = -7(3) + 12

→ f(3) = -21 + 12

→ [ f(3) = -9 ]

Hence, the value is -9.

The diagram shows TUV. Which term describes point W?

Answers

Answer:

centroid

Step-by-step explanation:

a centroid is the point of intersection of it's medians (center of the sides and the vortexes)

help me !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The MAD is 2.

The answer would be 2 because of the fact it is talking about the snow days

Given the speeds of each runner below, determine who runs the fastest. Emily runs 15 feet per second. Noah runs 358 feet in 36 seconds. Liz runs 1 mile in 405 seconds. Zach runs 768 feet in 1 minute.

Answers

Brooke
Step-by-step explanation:
Since the first is already given in terms of rate (10 feet per second), we need to find the other rates. Remember, to convert to feet/sec rates.
Noah:
10 ft/sec
Brooke:
489 feet in 36 seconds means:
489/36 = 13.58 ft/sec
Stephanie:
1 mile is 5280 feet, so we can say:
5280 feet is 557 seconds, so rate is:
5280/557 = 9.48 ft/sec
Liz:
732 feet in 1 minutes. We know 1 minute is 60 seconds, so we can say:
732 feet in 60 seconds, so rate is:
732/60 = 12.2 ft/sec
Comparing all the rates (in ft/sec), we can say that "Brooke" is the fastest.

Can you help me plz!
I hope you can see it

Answers

Step-by-step explanation:

a. 102

b. 78

c. 102

d. 102

e. 102

f. 78

Which names the longest segment in the figure?
В

Answers

Answer:

PQ

Step-by-step explanation:

Answer: PQ would be the longest segment

Step-by-step explanation:

PQ extend 2 units versus 1

Chad and his two friends are picking blueberries at a local farm. Chad picked 2 pounds of blueberries, and one of his friends picked 1 pounds. If they ended up with a total of 5 pounds, how many pounds did Chad's other friend pick? Express your answer as a mixed number.

Answers

Answer:

Chad's other friend pick 2 pounds of blue berries.

Step-by-step explanation:

Chad picked 2 pounds of blue berries.

One of his friends picked 1 pound of blue berries.

Totally there is 5 pounds.

So, other friend picked blue berries = 5-2-1 =2 pounds

We get answer as whole number. So no need to write it in mixed form.

Lines LaTeX: CEC E and LaTeX: ADA D intersect at LaTeX: BB. Lines C E and A D intersect at the point B. Angle A B C is labeled 37 degrees. Select all the true statements. Group of answer choices The measure of angle LaTeX: CBA C B A is equal to the measure of angle LaTeX: DBE D B E . The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 180 degrees. The measure of angle LaTeX: CBD C B D is equal to the measure of angle LaTeX: ABE A B E . The sum of the measures of angles LaTeX: CBD C B D and LaTeX: CBA C B A is 180 degrees. The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 90 degrees.

Answers

*see attachment below for the figure referred to

Answer:

*The measure of angle <CBA is equal to the measure of angle <DBE.

*The measure of angle CBD is equal to the measure of angle ABE.

*The sum of the measures of angles CBD and CBA is 180 degrees.

Step-by-step explanation:

Since lines CE and AD bisects at D, they form two pairs of vertical angles that are congruent to each other. The vertical angle pairs formed are:

<CBD and <ABE;

<CBA and <DBE

Thus:

m<CBD = m<ABE;

m<CBA = <DBE = 37°

Also, m<CBA + m<CBD = 180° (supplementary linear pair)

m<ABE + m<DBE = 180° (supplementary linear pair)

Therefore, the following statements are TRUE:

*The measure of angle <CBA is equal to the measure of angle <DBE.

*The measure of angle CBD is equal to the measure of angle ABE.

*The sum of the measures of angles CBD and CBA is 180 degrees.

Please help!! Thanks

Answers

Answer:

the x-intercept is 3 and the y-intercept is -4

Step-by-step explanation:

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Two angles form a linear pair. The measure of one angle is 1/3 of the other angle. Find the measure if each angle

Answers

Answer:

The measure of the angles is 45° and 135°

Step-by-step explanation:

When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.

Let's call x and y the two required angles. Knowing they form a linear pair:

x+y=180

We also know one angle is 1/3 of the other angle, thus:

x=y/3

Or, equivalently:

3x=y

Substituting y into the first equation:

x+3x=180

Simplifying:

4x=180

Solving:

x=180/4=45

The other angle is:

y=3x=3\cdot 45=135

Thus the measure of the angles is 45° and 135°

A lab assistant tracked an object’s travel time in hours. However, the lab director wants the time tracked in minutes.

A 2-column table with 4 rows. Column 1 is labeled hours with entries 0.5, 0.75, 1.5, 2.5. Column 2 is labeled Minutes with entries 30, 45, 90, blank.

Help the lab assistant complete the table. How many minutes did the object travel after 2.5 hours?

Answers

Answer:

150

Step-by-step explanation:

Answer: 150!

Step-by-step explanation:

i did the edge test, i got it right. trust me, i dont lie. :)  have a nice day<3

proof:

A box of 200 baseball cards included 10 cards that featured the Los Angeles Dodgers.

1. What fraction of the cards featured the LA Dodgers. Use simplest form.

2. What is the amount as a decimal?

3. What percent of the cards featured the LA Dodgers?

Answers

Answer:

1. 1/20

2. 0.05

3. 5%

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Like I said I’m horrible at math so I’m just gonna keep posting these.

Answers

Answer:

slope is -2/1

Step-by-step explanation:

when you find slope of a line, its rise over run

so when ever the line hits a point, it goes 2 down and 1 right (if you explain this simply)

Answer:

m= -2

Step-by-step explanation:

The two points are 0,2 and 1,0 and the equation used between them spits out -2

Find the distance between the points (5, 8) and (-1, 3). Round to the nearest tenth.

Answers

Answer:

7.81

Step-by-step explanation:

What is 3.5 x 10-4 in standard form?

Answers

Answer:

The answer is 35000.

Step-by-step explanation:

Mddffffvcfffff ggbtevtrvyrvyr eg rh rhbrybryvr th tu rybry th th ht

Answers

Answer:

Yup, same.

Step-by-step explanation:

Answer:

(keyboard spam, nice)

Solve for t in the scientific formula C =Wtc1,000.

Answers

t=C/(1000Wc). Divide both sides of the equation to isolate the variable t.

At Wal Mart a 32 ounce gatorade cost $ 1.99 and at Target a 24 ounce gatorade costs $1.09. Which store has the better buy?

Answers

I believe target has the better deal.

Lydia missed 74 questions on her multiple choice math final and earned a grade of
63%. How many total questions were on the final exam?

Answers

Answer:

117 questions

Step-by-step explanation:

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