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xenn [34]
3 years ago
7

yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h

as left after x days?​
Mathematics
1 answer:
algol [13]3 years ago
6 0

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

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2- 10+ x = 6 -8 + 12<br> Please answer ASAP :)
Arisa [49]

Answer: X=18

Step by Step:

2−10+x=6−8+12

Step 1: Simplify both sides of the equation.

2−10+x=6−8+12

2+−10+x=6+−8+12

(x)+(2+−10)=(6+−8+12)(Combine Like Terms)

x+−8=10

x−8=10

Step 2: Add 8 to both sides.

x−8+8=10+8

x=18

5 0
3 years ago
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two models are shown. Each model has been shaded grey to represent a fraction. wgucj statement is true about the fractions 3/4 a
jeka57 [31]

Answer:

The third, they are equivalent because the size of the shaded area is the same.

8 0
3 years ago
Lena says that and are like terms. Is she correct? Why or why not? A. No, because the same variables are not raised to the same
qwelly [4]

Answer:

D because of the question

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3 years ago
Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat
Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis  such that the power plant will be shut down when the null hypothesis is rejected.

H_{0}: \mu \leq 60\\H_A: \mu > 60

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

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We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0
3 years ago
Divide 3 over 4 ÷ 1 over 8 = ____.
hammer [34]
When you divide two fractions, you actually just flip one over (it's reciprocal) and multiply them.

\frac{3}{4} ÷ \frac{1}{8}   Use the recriprocal of \frac{1}{8} 
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</span>
\frac{24}{4}       Divide

6


<span>\frac{3}{4} ÷ \frac{1}{8} = 6</span>
8 0
3 years ago
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