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Ne4ueva [31]
3 years ago
13

Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira’s expenses are half of Hi

deo’s. Akira ends up saving 40% of his income. What percentage of his income does Hideo save?
Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

9514 1404 393

Answer:

  25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

  Akira's expenses = (3/5)(5/8) = 3/8  . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

  Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

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Find the equation of a line perpendicular to y = -3 passing through the coordinate (2, 6).
Vlad [161]

Answer:

for two lines to be perpendicular m2 = -1/m2

using the formula y= mx+c

m1 = 0

for the lines to be perpendicular to each other(m2 = -1/0 )

Note: -1/0 is undefined

using the formula y-y1 = m(x-x1)

y -6 = -1/0(x-2)

cross multiply

0 = -1(x-2)

0 = -x+2

x =2(equation of the line)

6 0
3 years ago
one week, 72 people got a speeding ticket. the next week, only 36 people got a speeding ticket. what was the percent change in s
Tanzania [10]
36 is half of 72

so 50%
3 0
3 years ago
After 5 throws in a game of darts, Brent's mean score was 32. Calculate his total score.
ehidna [41]

1.To know this answer, we need to know some vocabulary that's used in t. Most people don't know how to solve questions if they have hard Vocabulary and what the question is Asking

Mean=The average of all his throws

It's asking us to calculate his total score  

2. Find Clues to help you solve word problems

Finding clues in Word Problems is a very important part a lot of people skip but this helps you solve the question easier

5 throws and Mean Score is 32 are the clues

3. Guess and check

The method to this thingy is called guess and check. There is another method which is slightly harder and i just don't want to do it.

Let's just say his scores were... 5, 6, 4, 5,10Add them up and you get 30Then 30/5

Let's try bigger numbers

20+25+20+20

If you like this method, you may try it another method is called work Backwards

5x32=160

Then divide 160 by 5 to double check and you get 32!!

========================================

Therefore, the answer s 160 as his total score

hope this gives you a clue to what we are doing and when you have a question like this, I really hope you understand the concept

Hope this helped (:

5 0
3 years ago
What is the slope of the line below?<br> (-4,6)<br> (-4,2)
nekit [7.7K]

Answer:

A undefined

Step-by-step explanation:

7 0
3 years ago
How many solutions does this linear system have y= 1/2x+4 <br> x+2y=-8
lara [203]

Answer:

1 solution

Step-by-step explanation:

y = 1/2x + 4  

x + 2y = -8

Solve the second equation for y.

2y = -x - 8

y = -1/2x - 4

The two equations in slope-intercept form are:

y = 1/2x + 4

y = -1/2x - 4

The system consists of two lines with different slopes, so they intercept at a single point which is the solution.

Answer: 1 solution

4 0
3 years ago
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