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Dafna1 [17]
3 years ago
12

Antar makes a total of $40.75

Mathematics
1 answer:
balu736 [363]3 years ago
5 0

Answer:

The answer would be he sold 11 packs of baseball cards at $0.75 each.

Step-by-step explanation:

11 packs of cards at 75 cents each.

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On Saturday morning, Ahmed decided to take a bike ride from one end of the 15-mile bike trail to the other end of the bike trail
frosja888 [35]

The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

<em>Travel time = distance ÷ speed </em>

<u>Second half of the trip</u> :

  • <em>Speed = s mph</em>

  • <em>Distance covered = 15 miles</em>

<u>Time taken for second half of trip</u> :

Time taken = 15 / s

<u>First half of the trip</u> :

  • <em>Speed = s + 2 mph </em>

<u>Time taken for first half of trip :</u>

Time taken = 15 / (s+2)

<u>Total time taken :</u>

<em>First half + second half</em>

15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s

B)

If s = 12

<em>Substitute s = 12 into the expression</em> :

[15(12) + 15(12+2)] / 12² + 2(12)

[180 + 210] / 144 + 24

390 / 168

= 2.32 hours

Therefore, the total time taken is 2.32 hours.

Learn more : brainly.com/question/18796573

3 0
3 years ago
Determine whether quantities vary directly or inversely and find the constant of variation. If 5 bushels of wheat weigh 136 kg,
pentagon [3]

Let the bushels of wheat is b and weight of the wheat is w.

We can say that more the bushels of wheat more will be the weight of the wheat.

Hence, the quantities  vary directly.

Therefore, we have

b=kw,  where k is the constant of variation.

Now, we have been given that 5 bushels of wheat weigh 136 kg. Thus, we have

5=136k\\&#10;\\&#10;k=\frac{5}{136}

Thus, the constant of variation is  \frac{5}{136}

Now, we have been given 3.5 bushels of wheat. Hence, we have

3.5=\frac{5}{136} w\\&#10;\\&#10;w=\frac{136\times 3.5}{5} \\&#10;\\&#10;w=95.2

Therefore, 3.5 bushels of wheat weigh 95.2 kg


4 0
4 years ago
Read 2 more answers
What is the area of the circle of the XY = 17 in?
RUDIKE [14]

Your answer would be A because the radius of the circle is half of its diameter.

Hope this helps <3 :)

5 0
3 years ago
3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standa
gregori [183]

Answer:

A sample of 17 must be selected.

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 - 0.96}{2} = 0.02

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

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.

The standard deviation from a previous study is 4 hours.

This means that \sigma = 4

How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?

A sample of n is required.

n is found for M = 2. So

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

2 = 2.054\frac{4}{\sqrt{n}}

2\sqrt{n} = 2.054*4

Simplifying both sides by 2:

\sqrt{n} = 2.054*2

(\sqrt{n})^2 = (2.054*2)^2

n = 16.88

Rounding up:

A sample of 17 must be selected.

8 0
3 years ago
Josh Josh estimates the height of his desk what is the reasonable estimate
choli [55]
The height would be 3 feet because it would be just tall enough to be waist level

5 0
4 years ago
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