The ratio of boys to girls in the school is 1 to 4. If there are 20 girls, how many boys are there?

A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas a

Marina86 [1]

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

7 0

3 years ago

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

3 0

3 years ago

In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. it measured 50 centimeters tall and 90 cen

slavikrds [6]

Y=-2/81x^2+50 is the answer

7 0

4 years ago

Read 2 more answers

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4

vovikov84 [41]

Answer:

18

Step-by-step explanation:

First I'm making all mixed numbers improper fractions.

Base recipe: 12 muffins = 2/3 milk + 7/4 flour + 1/4 coconut + 3/4 apple

Change: 9/8 apple

On second look, I ddn't need to do that except for the last one, the change in apple. When increasing things proportionally you basically multiply everything by the same number. A simple example.

Say a recipe made 10 of something with 1 of ingredient A and 2 of ingredient B. Well, what if you made the recipe twice? that would be 20 things from 2 of A and 4 of B. This is the same as changing the recipe to make double. It works if you halve things as well, or multiply by any number or fraction.

So the point is, we changed the amount of apples. We want to know how much we changed it by, then that much is how much the total number of muffins changes. So if we doubled apples the muffins would double, but I don't think it's that simple.

Started at 3/4 cup of chopped apple and increased to 9/8 cups. We want to know what to multiiply by to do this. So we set up a simple algebraic equation.

(3/4)x = 9/8

where x is what we multiply by. Now, to do this you could do one step, divide by 3/4 or you could do it in two steps, multiply both sides by 4 then divide by 3. Or the other way around. Either way you will get the same number.

(3/4)x = 9/8

3x = 9/2

x = 3/2

And you can (and should) double check

(3/4)x = 9/8

(3/4)(3/2) = 9/8

9/8 = 9/8

Yay! If you don't gt fraction multiplication let me know. But the recipie is an increase of 3/2 or 1.5, so there will be 1.5 as many muffins.

12*1.5 = 12(3/2) = 18

4 0

3 years ago

Read 2 more answers

If I send a chain email to 10 people and it remains unbroken how many people will have it by day 7

Svetradugi [14.3K]

The answer is 7 multiple by 10 =70

4 0

3 years ago