Adam runs 4 miles in 20 minutes. How many miles does he run in 1 hour?

Answers

Answer 1

Answer:

Answer: Adam will run 12 miles in 1 hour.

Step-by-step explanation:

Ok, so we know 4 miles in 20 minutes, correct?

Multiply 20x2. You will get 40. Then, multiply 4x2. That is 8. So in 40 minutes he ran 8 miles. So if we multiply 20x3, we would get 60 minutes which is an hour. So we need to multiply 4 by 3–12.

Answer 2

Answer:

Answer: 12 miles

Step-by-step explanation:

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There are 30 people in student council that are running for the offices of president and vice president. In how many different ways can those offices be assigned?900
870
59

Answers

The answer is 870 because each person can have 1-29 people for their vice president so you multiply 29×30=870

I believe it would be 870

Factoring polynomials of 18x-60x^5 please explain the steps.

Answers

rewrite as -60x^5 + 18x
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At a candy store a bag holds up to 1 pound of candy. Each jawbreaker (x) weighs 0.25 pounds and each gumball (y) weighs 0.1 pounds. Which inequality shows the solution for all combinations of the two candies that will fit in the 1-pound bag?

Answers

x - number of jawbreakers;
y - number of gumballs.
The weight of jawbreakers + gumballs must be less than or equal to 1 pound.
Inequality that shows the solution for all combinations of the two candies is:
0.25 x + 0.1 y ≤ 1

Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X

Answers

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

$X = (-3ft +- √((3ft)^2 - 4*1*(-50ft^2)) )/(2) = (-3ft +-14.46ft )/(2)$

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Which function is quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3

Answers

Answer:

c(x) = –8x^2 + 3x – 5 is a quadratic function.

Step-by-step explanation:

At first, we will define what a quadratic function is.

A quadratic function is a polynomial with one or more variables with degree 2.

So, from the given functions

a(x) = -2x^3+ 2x – 6 has highest degree 3. So it is not a quadratic function.

b(x)=5x^3 + 8x^2 + 3 has highest degree 3. So it is not a quadratic function.

c(x) = –8x^2 + 3x – 5 has highest degree 2. So it is a quadratic function.

d(x) = 6x^4 + 2x – 3 has highest degree 4. So it is not a quadratic function.

Answer:

Step-by-step explanation:

Predict the number of kilograms in harvest 5.After each harvest, Gloria records the
farm's rice production (in kilograms):
Enter the correct answer.
Harvest
Kilograms
DONE
?
اس اس ام اس
350
700
1400
2800