Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira's expenses are half of Hideo's. Akira ends up saving 40% of his income. What percentage of his income does Hideo save?

Answers

Answer 1

Answer:

25%

Step-by-step explanation:

Let x represent Akira income and let y represent Hideo income.

Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:

x = (5/8)y

Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:

a = (1/2)b; b = 2a

Given that Akira savings is 40% of his income, we have:

savings = income - expenses

40% of x = x - a

a = x - 0.4x

a = 0.6x

For Hideo:

Income = y, expenses = b = 2a

Savings = income - expenses

Savings = y - 2a

Savings = y - 2(0.6x) = y - 1.2x

Savings = y - 1.2(5/8)y

saving = y - 6y/8

savings = 2y/8 = 0.25y

Therefore Hideo saves 25% of his income


Related Questions

The graph shows the temperature y in a freezer x minutes after it was turned on. Five minutes after
being turned on, the temperature was actually four degrees from what the trend line shows. What
values could the actual temperature be after the freezer was on for five minutes?
Click the icon to view the graph of the freezer temperature versus time.
Select all that apply.
DA. 0°F.
OB. 32°F
C. 25°F
OD. 18°F
E. 21°F
OF. 29°F
Click to select your answer(s).
Question 7
of 8
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Answers

Answer:29

Step-by-step explanation:

Find the missing values

Answers

I FOUND THEM THEY ARE HIDING IN THE CLOUDS.

What is the temperature, in degrees Fahrenheit, shown on the thermometer above to the nearest integer?

Respond in the space provided.

Answers

Answer: 21

Step-by-step explanation:

Formula

(21.2°F − 32) × 5/9 = -6°C

what is the difference between associative property,communitive property,and distributive property? (will mark brainliest)

Answers

Answer:

Commutative switches the numbers, while associative keeps the numbers positions but changes the parentheses. I hope that helped

The associative property only changes the grouping and keeps the same order. Example- (2+3)+(4+5) -> 2+(3+4)+5
The communities property changes the order only. Example- 3+2 -> 2+3
The distributive property distributes the number from the outside of the parenthesis to the numbers inside
Example- 4(5+3) so you distribute the 4 to the 5 and 3 by multiplying. The answer would be 20+12
I hope this helps :))

A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters? (Note: do not include the units in your answer.)

Answers

Answer:

8000 for plato users

Step-by-step explanation:

Answer:

8000

Step-by-step explanation:

652 students attend Tippett Middle School. 49% live less than three miles from school. About how many students is this? Round your answer to the nearest WHOLE NUMBER.

Answers

Answer: 319 students

Step-by-step explanation:

There are 652 kids and 49% of them live less than three miles from school.

In a whole number this will be:

= 49% * 652

= 49/100 * 652

= 319.48

= 319 students

Daysi buys a video game on sale. If the video usually costs $30.00, and it
was on sale for 25% off, how much did Daysi pay?

Answers

Answer:

$22.5

Step-by-step explanation:

The original price is $30 and it's on sale for 25% off.  Since 25% is a quarter of the total price, I divided 30÷4=7.5.  $7.5 is 25% of $30, so 7.5 is the amount taken off the original price.  To find what Daysi paid, I subtracted 30-7.5=22.5.  $22.5 is the result after the 25% off, so Daysi paid $22.5.  

35
53"
X
Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x = 26.4

Step-by-step explanation:

Here, we want to get the value of x

To get this, we are to use the appropriate trigonometric ratio

From the question, we have the opposite and the adjacent

The trigonometric ratio to use in this case is the tangent

Mathematically;

Tan 53 = 35/x

x = 35/tan 53

x = 26.37

which is 26.4

help me asap ill give brainliest

Answers

Answer:

-6, -2, 1, 8

Step-by-step explanation:

Answer:

-6, -2, 1, 8

Step-by-step explanation:

Negatives have less value than positives, so that's why the negatives go first in the answer.

What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)

Answers

-8y + 16 - 4y = 4
-12y + 16 = 4
-12y = -16
Y = 1.3333333

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step by step.

Step 1: Simplify both sides of the equation.

−4(2y−4)−4y=4

(−4)(2y)+(−4)(−4)+−4y=4(Distribute)

−8y+16+−4y=4

(−8y+−4y)+(16)=4(Combine Like Terms)

−12y+16=4

−12y+16=4

Step 2: Subtract 16 from both sides.

−12y+16−16=4−16

−12y=−12

Step 3: Divide both sides by -12.

y=1

somebody please help me in this question, I’ll give you brainlyest and giving you 20 points :)

Answers

Answer:

Step-by-step explanation:

Noice....

6(2y+6)=4(9+3y)

divide both sides by 2

6(2y+6) / 2 = 4(9+3y) / 2

then after simplification

3(2y+6) = 2(9+3y)

6y + 18 = 18 + 6y

w t hell

it cant be solved

it can be but i think its misprinted

brainly and 50 points if you answer right because this is my writing prompt from my math class.

Take a look at the Ccenario given your friend needs help. so how would you explain what to do? what are some possible mistakes your friend might make? remember to explain in complete sentances.
fatima paid for 5 pallets of grass to be deliverd.
each pallet of grass cost $129.95.
fatima paid $76.20 for delivery.
what is the total amount fatima paid?
pls help ​

Answers

Answer:

$725.95

Step-by-step explanation:

Given

Cost of each pallet = $129.95Number of pallets = 5Delivery cost = $76.20

Total cost is:

5*$129.95 + $76.20 = $725.95

Find the
common factors of 5x²y and - 3x​

Answers

The common factor of 5x2 is y5x

Write 546/61 as a mixed number.
Can you solve it

Answers

Answer:

8 58/61.

Step-by-step explanation:

546/61 = 8 remainder 58

so it's 8 58/61.

Solving Systems using tables

Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.

A. Write an equation to represent the amount in Mikayla’s savings account.

B. Write an equation to represent the amount in Matthew’s savings account.

C. Below make an input-output tables that show the amount in each account for the first 8 months

D. When will Mikayla and Matthew have the same amount in their accounts?


Mikayla Matthew
X Y X Y
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8

Answers

Answer:

i hope this helps

Step-by-step explanation:

3% is the interest rate. Using the formula I=PRT, you can simply derive the rate by putting the given numbers in.

I = 450P = 3,000R = ?T = 5 Years

The equation now goes,450 = 3,000 * R * 5450 = 15,000 * R450/15,000 = R0.03 = R

multiply it by 100,

R = 3%

Answer fasttt plsssssss

Answers

Answer:

25ax25b= 625

please help immediately this is 2 days late

Answers

Answer:

51

Step-by-step explanation:

What is the slope of the line shown below?

Answers

Answer:

D

Step-by-step explanation:

Slope formula: m = (y2 - y1) / (x2 - x1)

First coordinate: (1, 3)

Second coordinate: (3, 9)

m = (9 - 3) / (3 - 1)

m = (6) / (2)

m = 3

A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?

Answers

Answer:

[tex]4 < x < 38[/tex]

Step-by-step explanation:

[tex]21 - 17 = 4[/tex]

[tex]21 + 17 = 38[/tex]

The range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

A triangle has side lengths of 21 cm and 17 cm

side 1 = 21 cm

side 2 = 17 cm

What is the relation between side of triangle?

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore,

length of side 3

[tex]21-17 < side 3 < 21+17[/tex]

[tex]4 < side 3 < 38[/tex]

Therefore the range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

To learn more about the side of triangle visit:

https://brainly.com/question/20734777

What is CD equaled to ?

Answers

Answer:

10

Step-by-step explanation:

cd being the longer segment is equal to 2/3s of 15.

Answer:

C D equals 6 So your answer is =6

Step-by-step explanation:

Help :(((((((((;;;;; I NEED HELP W MATH

Answers

Answer:

p = 6

Step-by-step explanation:

p/15 = 4/10

*cross multiply*

p*10 = 15*4

10p=60

*divide to get p alone*

p=6

The price of a pair of shoes increases from $67 to $83. What is the percent 1 point
increase to the nearest percent? *

Answers

Answer:

16

Step-by-step explanation:

7 is 1/10 of



pls help and thank you :)

Answers

7 is 1/10 of 70. You can figure this out by multiplying 7 by 10

The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.

Answers

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

estimate a 15% tip for a $60 bill​

Answers

Answer:

the answer would be 15/100= .15 *60= 9 so the tip would be 9$

Answer the tax would be *.00 dollars if you estimate it

Step-by-step explanation:can I get marked brainlist

HELP PLS
Comparing irrational numbers with calculator

Compare.

Answers

Answer:

3 2/3 is greater

Step-by-step explanation:

3 2/3 is 3.6666 while √11 is 3.32

у = 2х - 1
2х + Зу = -7

Answers

Answer:  1. у %3 2х

Step-by-step explanation: Find the distance between (0, 0) and (-3, 4) pair of points

Cauculate the answer when the larges prime number is 35 multiplied by the smallest prime number that is a factor of 15

Answers

Complete question :

The largest prime number that is a factor of 35 is multipled by the smallest prime number that is a factor of 15

Answer:

21

Step-by-step explanation:

Prime numbers : numbers divisible only by 1 and itself

They include ;

{2, 3, 5, 7 , 11}

Largest prime number that is a factor of 35

Factor of 35

35 = 1 * 5 * 7

Largest prime number , multiple of 35 = 7

Factors of 15

15 = 1 * 3 * 5

Smallest prime number, multiple of 15 = 3

7 * 3 = 21

Please help. Picture is attached below. Thank you! :) Will give brainliest!!

Answers

Answer:

e = 2

Step-by-step explanation:

Hope this helps! ///////////////////////

7(2e - 1) - 3 = 6 + 6e =

14e - 7 - 3 = 6 + 6e =

14e - 10 = 6 + 6e

-6e               -6e

8e - 10 = 6

    + 10  + 10

8e = 16

e = 2

What is the reciprocal 1/5. im very confused​

Answers

Answer:

5/1

Step-by-step explanation:

The reciprocal is just flipping the fraction!

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