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stira [4]
4 years ago
8

A square root of 4/4 B square root of 15/4

Mathematics
1 answer:
steposvetlana [31]4 years ago
8 0

Answer:A. 0.5

Step-by-step explanation:

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A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe
Vladimir79 [104]

Answer:

435.73 revolutions per minute

Step-by-step explanation:

Find the circumferance of the wheel.

27 times π which is 84.823 inches

divide that by 12 to get it into feet, 7.061 feet

Divide by 5280 to get that to miles, 0.001 miles

Divide 35 by 60 to get how many miles per minute the car travels, 0.583

Divide your miles per minute by the diameter of wheel

Your answer will be 435.73 Revolutions per Minute

6 0
3 years ago
Enrollment at ELAC decreased by 5%, or 600 people, the year. How many people were enrolled last year?
babymother [125]

Answer:

12,000.

Step-by-step explanation:

Let x be the number of people that were enrolled last year.

We have been given that enrollment at ELAC decreased by 5%, or 600 people, the year. We are asked to find the number of people that were enrolled last year.

We can set as equation such that 5% of x equals 600.

\frac{5}{100}\cdot x=600

0.05x=600

\frac{0.05x}{0.05}=\frac{600}{0.05}

x=12,000

Therefore, 12,000 people were enrolled last year.

7 0
4 years ago
A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
3 years ago
Write the equation in slope-intercept form. 4x+3y=18
Helen [10]

Answer:

y = -4/3x + 6

Step-by-step explanation:

1. 3y - 4x + 3y = 18 - 3y

2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. <u>-</u><u>3</u><u>/</u><u> </u><u>-3y = 4x - 18</u><u> </u><u>/</u><u>3</u>

5. y = -4/3x + 6

6 0
3 years ago
Which expression is equivalent to (x^2 -8) - (-2x^2+4)?​
Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

x^2 -8 + 2x^2 - 4 = ___

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0
3 years ago
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