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3 years ago

12 = 1.5x Solve each equation algebraically

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

I am assuming you want me to answer the equation provided in the picture, therefore I will provide you with the answer.

So we have $\frac{3}{5} x$ = 21

When it comes to equations with a variable, our goal is to isolate the variable, so let's start.

$\frac{3}{5} x$ = 21

1. Combine multiplied terms into a single fraction :

$\frac{3x}{5}$ = 21

2. Multiply both sides by the denominator :

5 * 3/5 = 3

5 * 21 = 105

3x = 105

3. Divide both sides by 3 :

$\frac{3x}{3} = \frac{105}{3 }$

x = 35

Arada [10]3 years ago

5 0

Answer:

x=8

Step-by-step explanation:

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2 years ago

Kevin hiked up lambs Canyon and two hours and then ran back down in one hour has been running downhill was 2.8 mph greater than

coldgirl [10]

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

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3 years ago

An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t

7nadin3 [17]

Answer:

The test statistics is $t = -1.7$

The Null and Alternative hypothesis are

$H_o : \mu = 47.2$ and $H_a : \mu \ne 47.2$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 47.2 miles/gallon(MPG)$

The sample size is $n = 250 \ van$

The sample mean is $\= x = 47.0$

The sample standard deviation is $\sigma = 1.9$

The level of significance is $\alpha = 0.02$

Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then

The Null Hypothesis is

$H_o : \mu = 47.2$

The alternative Hypothesis is

$H_a : \mu \ne 47.2$

The test statistics can be mathematically evaluated as

$t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }$

$t = -1.7$

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3 years ago

Read 2 more answers