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kvasek [131]
4 years ago
9

A long distance runner can run 2 miles every 17 minutes. At this rate how ling would it take the runner to run 16 miles.

Mathematics
2 answers:
VLD [36.1K]4 years ago
6 0

Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

Lesechka [4]4 years ago
4 0

Answer:

136 min

Step-by-step explanation:

lets make it simple.

2 miles / 17 min = 16 miles / x

just cross multiply

2 x = 17 (16)

2 x = 272

x = 272 / 2

x = 136 min

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If two polynomial equations have real solutions, then will the equation that is the result of adding, subtracting, or multiplyin
kirill115 [55]

No. A polynomial equation in one variablel ooks like P(x) = Q(x), where P and Q are polynomials.

Consider polynomial equations x^2 = 3 and x^2 = 1.

Obviously they have real solutions.

Subtract the two polynomial equations:

(x^2 - x^2) = (3 - 1)

0 = 2...

We get the polynomial equation 0 = 2. We call this a polynomial equation because single constants are also by definition polynomials.

Obviously 0 = 2 has no real solution.

3 0
3 years ago
Three numbers a;b; 9; ... are in geometric sequence. If 1 is subtracted from the first term then
kenny6666 [7]

if a b 9 are in GP

b÷a = 9 ÷ b

b^2 = 9a

if a - 1 b 9 are in AP

2b = a+8

b = a+8÷2

substitute

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(a+8÷2)^2 = 9a

a^2+16a+64 = 36a

a^2 -20a +64 =0

(a-16) (a-4) =0

a= 16 or a=4

when a=16 b= 12

when a=4 b= 6

Value of a and b are given above

6 0
3 years ago
A culture of yeast doubles in size every four hours. If the yeast population is estimated to be three million now, what will it
Bess [88]
It doubles every 4 hours, so after 24 hours there will be 6 doublings.
2^6 = 64
So, the population will be (3,000,000 * 64) or 192,000,000 in 24 hours.
The answer is B.


4 0
4 years ago
Read 2 more answers
What is the simplified form of 2(3x+5)-30+7x_4
Kipish [7]

Answer:

The answer is 6x+7x_4-20

Step-by-step explanation:

6 0
3 years ago
A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the veget
hjlf

Answer: 5 and 4

Step-by-step explanation:

Perimeter = 2 ( L + W)

18 = 2(L + W) divide through by 2

9 = L + W

9 - L = W

Area = L * W

20 = L (9 - L)

20 = 9L - L^2

L^2 - 9L + 20 = 0 factor

(L - 5) (L - 4) = 0

Set both factors to 0 and solve for L

L = 5 and L = 4

5 0
3 years ago
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