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Afina-wow [57]
3 years ago
7

Julie's overtime pay is $7 an hour more than her regular pay. She worked 6 hours at her regular wage and 4 hours at her overtime

wage. She earned $148. What is Julie's regular wage per hour? Show your work :)
A. $7 per hour

B. $12 per hour

C. $19 per hour

D. $26 per hour
Mathematics
1 answer:
sattari [20]3 years ago
7 0
--------------------------------------
Define x:
--------------------------------------
Let her regular hourly pay be x.
Overtime pay = x + 7

--------------------------------------
Construct equation:
--------------------------------------
6x + 4(x+ 7) = 148
6x + 4x + 28 = 148
10x = 148 - 28
10x = 120
x = 12

--------------------------------------
Find Regular Pay
--------------------------------------
Regular Pay = x = $12

----------------------------------------------------------------------------
Answer: Her regular pay is $12 an hour.
----------------------------------------------------------------------------
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Answer:

just use symbola

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Step-by-step explanation:

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2 years ago
Help!! I will mark Brainliest!! Please show work! :) Thank You.
SSSSS [86.1K]

Answer:

The center is (20, 0.05)   radius = 9

Step-by-step explanation:

The center is (20, 0.05)   radius = 9

from the general form of the equation:

(x - h)^2 + (y - k)^2 = r^2

we see that  r^2 = 81

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3 0
3 years ago
A teacher was interested in finding out whether a special study program would increase the scores of students on a national exam
bija089 [108]

Answer:

Check the explanation

Step-by-step explanation:

Going by the first attached image below we reject H_o against  H_1 if obs.T > t_{\alpha /2;n-1}

here obs.T=1.879

\therefore obs.T \ngtr 2.447=t_{0.025;6}

we accept H_o:\mu _{1}=\mu_{2} at 5% level of significance.

i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.

1.

this problem is simillar to the previous one except the alternative hypothesis.

Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.

we assume that X_i \sim N(\mu _{1},\sigma _{1}^{2}) Y_i \sim N(\mu _{2},\sigma _{2}^{2}) independently

We want to test H_0:\mu_{1}=\mu_{2} vs H_1:\mu_{1}\neq \mu_{2}

define D_i=X_i-Y_i , i=1(1)8

now D_i\sim N(\mu _{1}-\mu _{2}=\mu _{D},\sigma _{1}^{2}+\sigma _{2}^{2}=\sigma _{D}^{2}) , i=1(1)8

the hypothesis becomes

H_0:\mu_{D}=0 vs H_1:\mu_{D}\neq 0

in the third attached image, we use the same test statistic as before

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3 0
3 years ago
A church building fund has invested some money in two ways: part of the money at 7% interest and four times as much at 11%. Find
aliya0001 [1]

Answer: he invested $15000 in part 1 and $60000 in part 2

Step-by-step explanation:

Let x represent the amount of money invested in part one.

Let 4x represent the amount of money invested in part 2 .

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x + 4x = 5x

The formula for simple interest is expressed as

I = PRT/100

Where

P is the principal or initial amount.

T is the duration in years

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For part 1

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For part 2,

R = 11%

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4 0
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Nutka1998 [239]

Answer: 0.22 kilolitre

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Now that we found the volume, we will try to find how many liters are in the tank.

1 cubic meter = 1 kilolitre

So, 0.22 cu. m = 0.22 kilolitre

5 0
3 years ago
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