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Gemiola [76]
3 years ago
7

7: Jikayla earns $19 per hour babysitting. Last week, she worked 7 hours on Monday, 6 hours on Tuesday, and 7 hours on Wednesday

. She had Thursday off, and then she worked 5 hours on Friday. How much money did Anna earn in all last week?
Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

$475

Step-by-step explanation:

7+6+7+5 = 25

25*19 = 475

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Complete the steps to find the value of x.<br> 2x<br> 1289<br> 22<br> 2
Oksanka [162]

Answer:

Step-by-step explanation:

2x = 128

x = 128/2

x = 64

6 0
3 years ago
If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

3\cdot l^{2} = 30000

l = 100\,cm

Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
2 years ago
What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *
nalin [4]

Answer:

\frac{1}{3}

Step-by-step explanation:

2 = 2 × 1

6 = 2 × 3

GCF = 2

\frac{2 /2 }{6/2} =\frac{1}{3}

3 0
2 years ago
Read 2 more answers
Marcus is making homemade barbecue sauce.The recipe caps for 3 cups of ketchup for every 1/2 cup of mustard
SSSSS [86.1K]

Answer:

3 divided  by 1/2

Step-by-step explanation:

turn 3 into 3/1  then flip 1/2 into 2/1 and multiply which is <u><em>6</em></u>

Kcf

Keep

Change

Flip

3 0
3 years ago
Read 2 more answers
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
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