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Inessa [10]
3 years ago
10

The question is shown in the picture

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
7 0
The equation
service fee + hourly fee = the total fee
20 + 25x = 282.50

Solving the equation
20 + 25x = 282.50
25x = 282.50 - 20
25x = 262.50
x = 262.50/25
x = 10.5
The plumber completes his job in 10.5 hours

The answer is option a.
Masteriza [31]3 years ago
3 0
20 + 25(times the number of hours) = 282.50
You add the 20 because of the one time service fee.

Now lets work this out.
20 + 25x =282.50
25x = 262.50   (subtract both sides by 2 to get the x's alone)
x = 10.5    (divide both sides by 25 to get just x)
x = 10.5 hours

So the answer is A.
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Write and solve the system of linear equations described by the application and then answer the question. One hundred sixty feet
Lena [83]

Answer:

80 ft x 40 ft

Step-by-step explanation:

Let 'L' be the length of the longer side and 'W' be the length of the shorter side (or the width).

The equations that compose the linear system are:

L+2W=160\\L=2W

Solving the system:

L+L=160\\L=80\\W=\frac{L}{2}\\W=40

The garden is a rectangle with dimensions 80 ft x 40 ft.

3 0
3 years ago
Find x in this 45°-45°-90° triangle. x = 4.5√2 9 18
postnew [5]

Answer:

x = 9

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{x}{9\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

x × \sqrt{2} = 9\sqrt{2} ( divide both sides by \sqrt{2} )

x = 9

5 0
3 years ago
Find the smallest of two consecutive even integers if the square is 10 more than the larger
djverab [1.8K]
I think your answers are 4 and 6
7 0
3 years ago
An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Fynjy0 [20]

Answer:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

\bar X=31.1 represent the sample mean  

\sigma=1.3 represent the population standard deviation

n=140 sample size  

\mu_o =31.3 represent the value that we want to test  

\alpha=0.02 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:  

Null hypothesis:\mu =31.3  

Alternative hypothesis:\mu \neq 31.3  

Since we know the population deviation, the statistic is given by

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing we got:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0
3 years ago
After the expression (X^10)^3/5 is simplified as much as possible, x is raised to what exponent? a0
erica [24]

Answer:

6

Step-by-step explanation:

(x^10)^3/5

=x^(10×3/5)

=x^6

7 0
3 years ago
Read 2 more answers
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