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3 years ago

What is the solution set for 6x-(3x+4)=x-40

Mathematics

2 answers:

tatyana61 [14]3 years ago

7 0

Answer:

x = 22

Step-by-step explanation:

6x - (3x + 4) = x - 40

6x - 3x - 4 = x - 40 <distribute the negative

3x - 4 = x - 40 <combine like terms

-x -x <subtract x from both sides

2x - 4 = 40

+4 +4 <add 4 to both sides

2x = 44 <divide both sides by 2

x = 22

Eddi Din [679]3 years ago

5 0

First, open the parentheses (make sure you distribute the '-':

6x - 3x - 4 = x - 40
3x - 4 = x - 40
2x = -36
x = -18

The solution set is {-18}

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Answer:

Step-by-step explanation:

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3 years ago

The cost of a jacket increased from $75.00 to $87.75. What is the percentage increase of the cost of the jacket?

beks73 [17]

1) we have to calculate the increase of the cost of the jacket.
Increase of the cost of the jacket=new price - previous price
increase of the cost of the jacket=$87.75 - $75.00=$12.75

2)Now, we calculate the percentaje incresae of the costo of the jacket by the rule of three.
$75=100%

$75------------------100%
$12.75------------- x

x=($12.75 * 100%) / $75=17%

Answer: the percentage increase of the cost of the jacket is 17%

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3 years ago

Which of the following is the correct point-slope equation for the line that passes through the point (-6, -1) and is parallel t

inn [45]

Answer:

A. y + 1 = 7(x + 6)

Step-by-step explanation:

1) Point slope form is

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line

2) Parallel lines have the same slope

in this case m = 7

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Plug in m = 7 and (x1, y1) = (-6, -1)

y + 1 = 7(x + 6)

which is answer A

3 0

3 years ago

A company with a fleet of 150 cars found that the emissions systems of only 4 out of the 25 they tested failed to meet pollution

salantis [7]

Answer:

No, there is no strong evidence that the percentage of the fleet out of compliance is different from their initial thought.

Step-by-step explanation:

We are given that a company with a fleet of 150 cars found that the emissions systems of only 4 out of the 25 they tested failed to meet pollution control guidelines.

The company initially believed that 30% of the fleet was out of compliance.

Let p = percentage of the fleet that was out of compliance.

SO, Null Hypothesis, $H_0$ : p = 30% {means that the percentage of the fleet out of compliance is same as their initial thought}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the percentage of the fleet out of compliance is different from their initial thought}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = percentage of the fleet out of compliance = $\frac{4}{25}$ = 16%

n = sample of systems tested = 25

So, test statistics = $\frac{0.16-0.30}{{\sqrt{\frac{0.16(1-0.16)}{25} } } } }$

= -1.909

The value of the test statistics is -1.909.

Since in the question we are not given with the level of significance at which hypothesis can be tested, so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the percentage of the fleet out of compliance is same as their initial thought.

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3 years ago

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zaharov [31]

Answer:

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Step-by-step explanation:

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7 0

4 years ago