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kifflom [539]
3 years ago
8

Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minute

s?
A. 40

B. 60

C. 20

D. 30
Mathematics
2 answers:
Ann [662]3 years ago
8 0
(c) 20 ; each mile takes 8 minutes, therefore if you divided 160 by 8 your product would be 20
Elena L [17]3 years ago
6 0

Answer:

C)20

Step-by-step explanation:

Cuz 160/8 is 20

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What is the equation in vertex form of the quadratic function with a vertex at (-1, -4) that goes through (1, 8)?
cestrela7 [59]

Answer:

y = 3(x+1)^2 - 4

Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:

y - k = a(x-h)^2, or

y      = a(x-h)^2 - k

Substituting the coefficients of the vertex (-1, -4), we get:

y      = a(x + 1)^2 - 4

Substituting the coordinates of the given point, (1,8), we get:

8      = a(1+1)^2 - 4, which simplifies to:

8      = a(2)^2 - 4, or

8  = 4a - 4.  Then 4a = 12, and a = 3.

Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).


5 0
3 years ago
Please help!! will give brainliest and 20points!!! SUPER EASY PROBLEM
Fiesta28 [93]

Answer:

C. 184 ft²

Step-by-Step Explanation:

The formula for the surface area of a triangular prism is

SA = bh + 2ls + lb; where b = base, h = height, l = length, s = side

First, substitute the known value into the equation:

b = 6 ft

h = 4 ft

l = 10 ft

s = 5 ft

SA = (6)(4) + 2(10)(5) + (10)(6)

Then, all we have to do is simplify:

SA = 24 + 2(50) + 60

SA = 24 + 100 + 60

SA = 184 ft²

Hope this helps!

5 0
3 years ago
Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm
Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

2(11x)=10x^2 and

10x^2-22x=0 and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to \frac{22}{10}=2.2

So x = 2.2 and y = 22.

7 0
2 years ago
IN THE DIAGRAM the measures of <2,<3 and <6 are 40 THE measure of <1 is 140 . Are lines c & d parallel
nordsb [41]

Step-by-step explanation:

the answer is D

3 0
2 years ago
Read 2 more answers
The value of y when x=5
Molodets [167]
D. 35 is the answer. Since we know that 14=2k based on the knowledge given in the first part of the equation, we can solve for K. We learn that K=7. Then, we can substitute K into the second equation: y=(7)(5) which is 35.
8 0
2 years ago
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