All categories

3 years ago

Solve for each variable X and Y.

Mathematics

1 answer:

kaheart [24]3 years ago

4 0

Answer:

x=5 and y=7

Step-by-step explanation:

The opposite parallel sides of any rhombus are going to be equal.

a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.

b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.

a.) x+14 = 5x-2

b.) 3y-3 = 2y+4

You might be interested in

This list shows the ingredients needed to make 12 flapjacks.

AURORKA [14]

Both 12 and 18 can be divided by 6. Therefore, convert 12 flapjacks into 6 flapjacks so you can use this for the final answer. Divide all the ingredients by 2= 250/2, 120/2, 120/2, 2/2 which will give you the ingredients for 6 flapjacks. After you have found the ingredients for 6 flapjacks, multiply each by 3 because 6x3=18. You should have your answer.

4 0

3 years ago

Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red

Inga [223]

Answer: There are 120 boats in the marina.

Step-by-step explanation:

Let's suppose that there are N boats

We know that 5/6 of them are white, then we have: (5/6)*N white boats.

The remaining is: N - (5/6)*N = (1/6)*N

We know that 2/5 of the remaining are blue, then we have:

(2/5)*(1/6)*N blue boats

And the rest are red, the rest is:

(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N

Then we have (3/5)*(1/6)*N red boats.

And we know that there are 12 red boats, then:

(3/5)*(1/6)*N = 12

Now we can solve this for N, which is the total number of boats in the marina.

N = 12*(6)*(5/3) = 120

There are 120 boats in the marina.

4 0

3 years ago

Walks for 17.5 meters at a speed of 7 meters per minute. For how many minutes does it walk?

Alekssandra [29.7K]

Speed = distance / time

7 = 17.5 / t
t = 17.5 / 7
= 2.5 minutes

5 0

3 years ago

BOWLING You are taking reservations for a bowling party with 35 guest. Each bowling

Nadya [2.5K]

Answer:

35/5=x hope it helps.

5 0

4 years ago

The sum of three numbers is 104. The first number is 6 less than the second. The third number is 3 times the second. What are th

lara [203]

We can write this in math as x+y+z=104, x=y-6, and z=3y

Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.

y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.

Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.

The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.

The third equation z = 3y can be written as z = 3(22) or z = 66.

Our three numbers are 16, 22, and 66. Hope this helps you!

8 0

3 years ago