3 years ago

the ratio of red marbles to blue marbles in a bag is 3:4 . what is a possible total number of marbles?

1 answer:

5 0

There are a lot of possible total amount of numbers for this ratio. But any multiple of 7 will do. So just say 7, or 14, or 21.

If you choose 7, there will be 3 red marbles and 4 blue marbles. If you choose 14, there will be 6 red marbles and 8 blue marbles. If you choose 21, there will be 9 red marbles and 12 blue marbles. And the list goes on.

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What is the y-coordinate of the solution to this system of equations? 5x-8y=1 3x+6y=-21

Vanyuwa [196]

5x-8y=1...(1)
3x+6y=-21...(2)

(1)*3:
15x-24y=3...(3)

(2)*5:
15x+30y=-105...(2)

(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2

6 0

2 years ago

A right triangle has a side with length 12 in and a hypotenuse with length 20 in. find the length of the missing leg. (round to

OLEGan [10]

Let the unknown side be "z" inches
Through pythagoras:
${12}^{2} + {z}^{2} = {20}^{2}$
Because the square of the two sides add up to the square of the hypotenuse in a right triangle.

This means that
${z }^{2} = {20}^{2} - {12}^{2}$
${z}^{2} = 400 - 144 = 256$
$z = \sqrt{256} = 16$
So the missing side is 16 inches

Hope this helped

6 0

3 years ago

A theater sold a total of 570 tickets for a new movie. Of those tickets, 30% were children's tickets. How many children's ticket

professor190 [17]

According to my calculations the 30% of 570 is 171

10% of 570 is 57

times that by 3 and you get 171

7 0

3 years ago

Read 2 more answers

Plug in the value of x

Inessa [10]

Answer: yes

Step-by-step explanation: