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sp2606 [1]
3 years ago
9

An athlete runs 8 miles in 50 minutes on a treadmill. At this rate how long will it take the athlete to run 9 miles? Your answer

s should be in minutes. Type only numbers and a decimal point.
Mathematics
1 answer:
zvonat [6]3 years ago
4 0
56.25 minutes

Explanation: to find how long it takes to run one mile, divide 50 minutes by 8 miles.
50/8 = 6.25
Then you can multiply 6.25 by 9 to find the answer.
9 x 6.25 = 56.25 minutes
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44% just subtract 56 from 109
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112-7v

Step-by-step explanation:

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Suppose that an urn contains 3 black marbles, 7 yellow marbles, and 10 green marbles. If one marble is selected, determine the p
Yuliya22 [10]

Answer:

1/2

Step-by-step explanation:

Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.

(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)

So for this problem, there's  20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).

Our probability of getting a green marble is \frac{10}{20\\}, which simplifies to \frac{1}{2}

3 0
4 years ago
If 2(x+y)^2=116, and xy= 24, find the value of x^2+y^2.
svetlana [45]

Answer:

10

Step-by-step explanation:

2(x + y)^{2}  = 116 \\  {(x + y)}^{2} =  \frac{116}{2}   \\   {(x + y)}^{2} = 58....(1) \\ xy  = 24.....(2) \\  \because \: {(x + y)}^{2} =  {x}^{2}  +  {y}^{2}  + 2xy \\  \therefore \: 58 =  {x}^{2}  +  {y}^{2}  + 2 \times 24 \\ \therefore \: 58 =  {x}^{2}  +  {y}^{2}  + 48 \\  \therefore \: {x}^{2}  +  {y}^{2} = 58 - 48 \\  \huge \purple{ \boxed{\therefore \: {x}^{2}  +  {y}^{2} = 10}}

4 0
4 years ago
Read 2 more answers
The difference between the roots of the quadratic equation x^2−12x+q=0 is 2. Find q.
shtirl [24]

Answer:

  • The required value of q is 35.

Step-by-step explanation:

Let α and β are the zeros of quadratic equation, x^2−12x+q=0.

  • It is given that difference between the roots of the quadratic equation x^2−12x+q=0 is 2.

Equation : α - β = 2

Equation : α + β = 12

Equation : αβ = q

We have to create an algebraic expression.

(a+b)² = (a-b)² + 4ab

(12)² = (2)² + 4q

144 = 4 + 4q

144 - 4 =4q

140=4q

q = 140/4

q = 35

Therefore, the required value of q is 35.

<u>Some information about zeroes of quadratic equation. </u>

  • Sum of zeroes = -b/a
  • Product of Zeroes = c/a
5 0
3 years ago
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