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2 years ago

Zoe spent 5/10 of an hour jumping rope.Write the amount of time she spent jumping rope as a fraction in simplest form

Mathematics

1 answer:

kondor19780726 [428]2 years ago

8 0

Answer:

...

Step-by-step explanation:

its 1/2

5/10 in simplest form is 1/2

so this is how long she took as a fraction...

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Which of the following expressions represents 3 less than 5 times a number 2 A) 5n - 3 B) 5 - 3n C) 3n - 5 D) 3 - 5n

vlabodo [156]

Answer:

The answer is D

7 0

2 years ago

5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of

leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0

3 years ago

Mr. Arellano decided to make cookies for 7th grade students. He was supposed to mix 4 cups of flour, 1.2 cups of sugar, and 2.5

Ahat [919]

Answer:

0.6 cups of sugar and 1.25 cups of chocolate chips

Step-by-step explanation:

We can begin to solve this problem with a simple proportion:

$\frac{4}{2}$ = $\frac{1.2}{x}$ = $\frac{2.5}{y}$

(x = the new # of sugar y = new # of chocolate chips)

In order to keep everything proportional, we must abide by the scale factor shown with the the flour.

Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.

We can see that the scale factor is one half, so

x = 1.2 * 0.5

and

y = 2.5 * 0.5

This means that:

x = 0.6

y = 1.25

This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.

8 0

2 years ago

Determine the remainder when (5x3 + 49x2 + 74x + 6) is divided by (x + 8).

blondinia [14]

The polynomial remainder theorem says that the remainder when dividing a polynomial $P(x)$ by a linear divisor $x-k$ is simply $P(k)$ .

If $P(x)=5x^3+49x^2+74x+6$ , then the remainder upon dividing by $x+8$ is

$P(-8)=-10$

You could also verify this by actually computing the quotient and remainder.

4 0

2 years ago

Read 2 more answers

What times what is 216

ElenaW [278]

2 times 108 is 216
3 times 72 is 216
4 times 54 is 216
6 times 36 is 216

7 0

3 years ago