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2 years ago

11B. Long Beach Towing Company charges $40 plus $5 per mile to

Mathematics

1 answer:

gavmur [86]2 years ago

5 0

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

$L(x) = 40 + 5x$

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

$F(x) = 70 + 2x$

After how many miles the charges for the two companied will be the same?

This is x for which:

$L(x) = F(x)$

$40 + 5x = 70 + 2x$

$5x - 2x = 70 - 40$

$3x = 30$

$x = \frac{30}{3}$

$x = 10$

The charges will be the same after 10 miles.

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You spend $300 to start and costs $20 for each dog house

Tasya [4]

Answer:

Step-by-step explanation:

because because 300 divided by 20 equals 15 hope this helps

4 0

3 years ago

Solve the equation. Check your solution. k/-8=2

Lapatulllka [165]

Multiply both sides by -8 to get k = -16
To check the solution, plug in -16 into the original equation. You do in-fact get 2

4 0

3 years ago

PLEASE HELPP! A square has an area of 5.76cm². Find the perimeter of the square

nikdorinn [45]

The ar. of square =X^
=5.76
So,X=√5.76
=2.4
now, perimeter of square =4(X)
=4(2.4)
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4 0

3 years ago

A coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces. A random sample of 15 co

Luda [366]

Answer:

We conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

Step-by-step explanation:

We are given that a coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces.

A random sample of 15 containers were weighed and the mean weight was 31.8 ounces with a sample standard deviation of 0.48 ounces.

Let $\mu$ = mean weight of coffee in its containers.

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 32 ounces {means that the mean weight of coffee in its containers is at least 32 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ < 32 ounces {means that the mean weight of coffee in its containers is less than 32 ounces}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = 31.8 ounces

s = sample standard deviation = 0.48 ounces

n = sample of containers = 15

So, the test statistics = $\frac{31.8 -32}{\frac{0.48}{\sqrt{15} } }$ ~ $t_1_4$

= -1.614

The value of t test statistics is -1.614.

Now, at 0.01 significance level the t table gives critical value of -2.624 at 14 degree of freedom for left-tailed test.

Since our test statistic is more than the critical value of t as -1.614 > -2.624, 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 mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

8 0

3 years ago

Translate the sentence into an inequality.

Vadim26 [7]

Answer:

9(n + 22) ≤ -15

Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

Times = multiplication

Sum = Addition

9 * n + 22

We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

We would have 9(n + 22)

9(n + 22) is at most -15

At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

4 0

3 years ago