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trasher [3.6K]
2 years ago
15

Which proportion could you use to convert 5 gallons to quarts? Convert. 5gallons= quarts

Mathematics
1 answer:
Ksivusya [100]2 years ago
6 0
1 gallon is equal to 4 quarts, so there are 20 quarts in a gallon
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I need help. What are the two numbers on the middle
Rina8888 [55]

Answer:

  Miles: 35; Gallons: 1

Step-by-step explanation:

The number of gallons can be any number of your choosing that is less than 12, which is the capacity of the tank. For the purpose here, 1 is a convenient number. To find the corresponding number of miles (m), you need to solve the proportion ...

  420/12 = m/1

  35 = m

  (miles, gallons) = (35, 1) . . . a suitable choice for the table values

__

<em>Additional comment</em>

If your sense of symmetry is offended by choosing 1 for Gallons, you can choose 10, a number halfway between 12 and 8. In that case, your proportion is ...

  420/12 = m/10   ⇒   m = 350

Then, your entry would be ...

 (miles, gallons) = (350, 10)

4 0
3 years ago
A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from
sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x  + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

5 0
2 years ago
Use place value pattern to complete the table
svp [43]
Do you have a picture
4 0
3 years ago
There are 70 marbles in the bag. The bag has 39 green? marbles, 24 red? marbles, and 7 yellow marbles. Sasha selects a marble fr
netineya [11]

Answer:

14/20

Explanation:

Sasha tried to get a marble 20 times. 14 of those times she got a yellow marble.

The experimental probability, which is the probability of choosing a yellow marble when Sasha actually tries choosing marbles from the bag.

The theoretical probability is based on the chance that Sasha will get a yellow marble, 7/70, is from the amount of marbles in the bag of yellow colour.

8 0
3 years ago
What is the vertex of y = x2 + 2x +2<br> O (1,-1)<br> O (2,-2)<br> O (1, 2)<br> 0 (-1, 1)
fredd [130]

Answer:

vertex = (- 1, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

x = - \frac{2}{2} = - 1

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )

8 0
2 years ago
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