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2 years ago

100 POINTS!!!!ANSWER ASAP!!!

Mathematics

2 answers:

muminat2 years ago

8 0

Answer:

2 minutes

Step-by-step explanation:

There is 10 minutes left to finish the test and she has 5 more problems left.

You do 10 dived by 5 and you 2

10/5=2 minutes

GarryVolchara [31]2 years ago

6 0

2 mins per problem

10 mins and 5 questions left

hope it helps comment for any questions have an amazing day

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The lemonade stand at the county fair sells the lemonade at a price of two cups for $3.60. Complete the table at right to find w

Tems11 [23]

I cant really help you with the table but she will need $14.40 to pay for it. This is because since two cups cost $3.60 you multiply 3.60 by 4. I got the 4 by dividing 8 into 2 because 8 people and 2 cups each

5 0

2 years ago

Gabi is working on another backyard project. She is building a fence to keep deer out of her garden. One side of her garden is a

nydimaria [60]

Answer:

length: 14 feet , width: 43 feet, or

length: 86 feet, width: 7 feet

Both solutions are valid.

Explanation:

1. First assumption is that the shape of the fence is <u>rectangular</u>.

2. Second, assum the length parallel to the wall measure y feet, so the other two lengths, y, together with x will add up 100 feet

2x + y = 100

3. The, the area of the fence will be:

length × width = xy = 600

4. Now you have two equation with two variables which you can solveL

Solve for y in the first equation: y = 100 - 2x

Substitute the value of y into the second equation: x (100 - 2x) = 600

5. Solve the last equation by completing squares:

Distributive property: 100x - 2x² = 600
Divide both sides by - 1: 2x² - 100x = - 600
Divide both sides by 2: x² - 50x = -300
Add the sequare of the half of 50 to both sides: x² - 50x + 625 = 325
Factor the left side: (x - 25)² = 325
Square root both sides: x - 25 = ± 18.028

Clear x: x = 25 ± 18.028
x = 43.028 ≈ 43 or x = 6.972 ≈ 7

Both values are valid,

If x = 43 , then y = 600/43 = 14

If x = 7, then y = 600/7 = 86

Thus, the lenght and width of the fence may be:

43 feet (width) and 14 feet (length), or

7 feet (width) and 86 feet (length).

3 0

2 years ago

Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft wide, 32 ft long and 8.0 ft deep. How long does i

VLD [36.1K]

1 foot = 12 inches

(1 foot)^3 = (12 inches)^3

1 cubic foot = (12^3) cubic inches

1 cubic foot = 1728 cubic inches, will be used as a conversion factor

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Find the volume of the pool. Assume it is a rectangular prism.

Volume = length*width*height

Volume = 32*16*8

Volume = 4096 cubic feet

Multiply by 1728, which was the conversion factor found earlier, to convert from cubic feet to cubic inches.

4096 cubic feet = (4096*1728) cubic inches = 7077888 cubic inches

--------------

Now use the fact that 1 gallon = 231 cubic inches to convert from cubic inches to gallons

7077888 cubic inches = (7077888 cubic inches)*(1 gallon/231 cubic inches) = 7077888/231 = 30640.2078 gallons which is approximate

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If x is the amount of time in minutes, then 8x gallons of water have been added after x minutes. Set this equal to 30640.2078 and solve for x

8x = 30640.2078

x = 30640.2078/8

x = 3830.02598

Divide this by 60 to convert to hours

3830.02598/60 = 63.8337663

<h3>It takes approximately 63.8 hours to fill the pool</h3>

This is approximately 63.8/24 = 2.625 days

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2 years ago

A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when e

Fed [463]

Answer:

C. 50

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.

So the correct answer is:

C. 50

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2 years ago

What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?

Vinvika [58]

Answer: $3ab\sqrt[3]{b^4}$