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nadya68 [22]
3 years ago
15

The line graph shows the average number of awakenings during the night for men and women of different ages. Use the graph to est

imate the difference between the average number of awakenings during the night between 45 ​-year-old men and 45 ​-year-old women.

Mathematics
1 answer:
Reika [66]3 years ago
6 0

*see attachment showing the line graph

Answer:

2

Step-by-step explanation:

The red line represents the line for women, while the blue line represents the line for men.

Age 45 is the middle of 40 and 45 on the x-axis.

The average number of awakenings during the night for 45 ​-year-old men ≈ 5

The average number of awakenings during the night for 45 ​-year-old women = 3

The difference = 5 - 3 = 2 times during the night.

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(5h-4)-(h-5) combining like terms
murzikaleks [220]
Distribute the negative throughout the set of parenthesis

5h-4-h+5

Ok, so your like terms are...

5h and -h

-4 and +5

If you rearrange the terms so that the like terms are next to each other, it is easier to combine them:

5h-h-4+5

5h-h=4h

-4+5=1

So, the problem is:

4h+1

Hope that helps :)

5 0
3 years ago
You need to have $20,000 for a down payment on a house 6 in years. If you can earn an annual interest rate of 4.2 percent, how m
Alexxandr [17]

Answer: you have to deposit $15625 today

Step-by-step explanation:

Assuming the interest is compounded annually. We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

A = $20000

r = 4.2% = 4.2/100 = 0.042

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

20000 = P(1 + 0.042/1)^1 × 6

20000 = P(1.042)^6

20000 = 1.28P

P = 20000/1.28

P = $15625

6 0
4 years ago
Solve the system by substitution <br><br> -x-y-z= -8<br><br> -4x+4y+5z= 7<br><br> 2x+2z= 4
Gennadij [26K]
- x - y - z = - 8 ------- (1)
- 4x + 4y + 5z = 7 -------- (2)
2x + 2z = 4 --------- (3)

From (3): x + z = 2
                      x = 2 - z --------- (4)

Substitute (4) into (1),
- x - y - z = - 8
- (2-z) - y - z = - 8
- 2 + z - y - z = -8
- 2 - y = - 8
2 + y = 8
Therefore, y = 6

Substitute y = 6 and (4) into (2),
- 4x + 4y + 5z = 7
- 4(2 - z) + 4(6) + 5z = 7
- 8 + 4z + 24 + 5z = 7
9z + 16 = 7
9z = - 9
Therefore, z = - 9

Substitute z = - 9 into (4),
x = 2 - z
x = 2 - (-9)
x = 2 + 9
Therefore x = 11

Solution:
x = 11
y = 6
z = -9
4 0
3 years ago
Read 2 more answers
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jarptica [38.1K]
5 x 5 x 5 = 125
since the perimeter is 20, and there are four sides, each side would be 5 since it is a square. then you do l x w x h and get 125
8 0
3 years ago
HURRYSolve. X/3 &lt;_ -6 please answer fast HURRY
Eva8 [605]

Step-by-step explanation:

do you mean less than or equal to

x/3<= -6 x 3

x<= -18

3 0
3 years ago
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