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dolphi86 [110]
3 years ago
8

Sam runs 2 miles in 18 minutes. If Sam runs at the same rate, how far can he run in 126 minutes

Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0

Answer:

14 miles is the answer



Nina [5.8K]3 years ago
3 0

Answer:

14 Miles

Step-by-step explanation:

First you find the time it takes Sam to run a mile

18 min / 2 mi = 9 min

Then you divide 126 min by 9 min for 1 mile

126 min / 9 min = 14 mi

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This Question: 1 pt
Kay [80]

Answer:

B. whole numbers, integers, rational numbers, natural numbers

5 0
3 years ago
A line passes through (4, 5) and (8, 9). Which equation best represents the line?
xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1



7 0
3 years ago
A smart-phone is thrown upwards from the top of a 384-foot building with an initial velocity of 32 feet per
Anna007 [38]

Answer:

When t = 4

Step-by-step explanation:

The phone will hit the ground when h = 0.

16t^2 + 32t + 384 =0 \\ \\ t^2 + 2t + 24=0 \\ \\ (t+6)(t-4)=0 \\ \\ t=-6, 4

However, as time cannot be negative, we know the answer is when t = 4.

5 0
2 years ago
Match the vocabulary with the appropriate definition
finlep [7]
Origin (0,0), x-axis left to right, y-axis up and down (vertical)

4 0
3 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
3 years ago
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