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Pavlova-9 [17]
3 years ago
12

Nat spent $28 on 8 DVDs. At this rate, how much would 5 DVDs cost? What is the unit rate?

Mathematics
2 answers:
Korvikt [17]3 years ago
8 0
You first have to find the rate of the DVDs. To do this you need to divide $28 by the number of DVDs, 8. 28/8 equals 3.5 so that means that a single DVD costs $3.50. To find the rate of 5 DVDs you need to multiply the rate of a single DVD by 5: 3.50 x 5= 17.50
5 DVDs costs $17.50 and the unit rate is $3.50 per DVD
mezya [45]3 years ago
7 0
5 DVDs would cost 7.50 and the unit rate is 3.50
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Someone answer quick please for brainliest !
Rina8888 [55]

Answer:

The equation of the line is

y =  -  \frac{1}{2} x +  \frac{5}{2}

Step-by-step explanation:

Equation of a line is

y = mx + c

Where m is the slope

c is the y intercept

y = 2x + 3

Comparing with the above formula

m is 2

Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .

That's

m = - 1/2

Equation of the line using point (1,2) and slope - 1/2 is

y - 2 = -1/2(x - 1)

y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

The final answer is

y =   - \frac{1}{2} x +  \frac{5}{2}

Hope this helps you.

8 0
3 years ago
An isosceles triangle has legs that measure 10 feet. If the height of the triangle is 7 feet, find the length of its base
irinina [24]

Answer:

14.2 feet

Step-by-step explanation:

I rounded off to 1 decimal place

8 0
3 years ago
If the fallowing pair represents a direct variation, find the missing value.<br> (2,-4) and (-6, y)
erik [133]
-8y it should be right
5 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept forra for the line that passes through (1, - 2) and (3, 7)
Llana [10]

Answer:

y = 9/2x -6.5

Step-by-step explanation:

m = (7-(-2))/(3-1)

m = 9/2

b = -6.5

y = 9/2x -6.5

5 0
3 years ago
12% of children are nearsighted, but this condition often is not detected until they go to kindergarten. A school district tests
Klio2033 [76]

Answer:

There is a 34.60% probability that 0 or 1 of them is nearsighted.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are nearsighted, or they are not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that:

12% of children are nearsighted. This means that p = 0.12.

A school district tests all incoming kindergarteners' vision. In a class of 18 kindergarten students, what is the probability that 0 or 1 of them is nearsighted?

There are 18 students, so n = 18

This probability is:

P = P(X = 0) + P(X = 1)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{18,0}.(0.12)^{0}.(0.88)^{18} = 0.1002

P(X = 1) = C_{18,1}.(0.12)^{1}.(0.88)^{17} = 0.2458

So

P = P(X = 0) + P(X = 1) = 0.1002 + 0.2458 = 0.3460

There is a 34.60% probability that 0 or 1 of them is nearsighted.

5 0
3 years ago
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