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True [87]
3 years ago
10

Solve the proportion to determine the value of x. 2x / 5 = x+3 / 3

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0
When you solve a proportion, your first step should be to cross-multiply.

\frac{2x}{5} = \frac{x + 3}{3}

When you cross-multiply, you should get this equation:

(2x)(3) = (x + 3)(5)

Now, solve it using algebra.

(2x)(3) = (x + 3)(5)       Multiply
       6x = 5x + 15         Subtract 5x from both sides
         x = 15

The value of x is 15.
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Test each statement below to see if it is reversible. If so, write it as a true biconditional. If not, write not reversible
FinnZ [79.3K]
Statement: Complementary angles are two angles with measures that have a sum of 90.
Reverse: Two angles with measures that have a sum of 90 are complementary angles.

Here the reverse is true, therefore, the statement is true biconditional.

Statement: A rectangle is a four-sided figure with at least one right angle.
Reverse: A four sided figure with at least one right angle is a rectangle.

Here, the reverse is not true, therefore, the statement is not reversible.
3 0
3 years ago
Read 2 more answers
Peter planted 5/12 of his garden with asparagus and 3/12 with beans.
UkoKoshka [18]
Answer: He has planted 2/3 and there is 1/3 left to plant.

Explanation: You need to add your fractions together, because each of those is a section of the garden and you need the total of how much of the garden he has planted.

This isn’t too difficult because the denominators are the same.

5/12 + 3/12 = 8/12

It is 8/12 because since the denominators are the same, you just need to add the numerators. Imagine you have a pie that’s cut into 12 pieces, and you and your friends take 5, and then your family takes 3. How many or gone now? 8 pieces. From how many pieces? 12 pieces. So 8/12 pieces are gone.

So Peter has planted 8/12 of his garden. This however, can be simplified, because both of those numbers divide by 4.

8/4 = 2
12/4 = 3

So 8 is now 2, and 12 is now 3.

This is now 2/3.

If there is 2/3 gone, you need to figure out how much is left to get you to 1.

In this instance, 1 can be rewritten as 3/3, because 3 divided by 3 is 1.

In order to get from 2/3 to 1, you need to add 1/3, one more third to the two thirds you already have.

This means Peter has 1/3 left to plant.

Hope this helps :)

7 0
3 years ago
What is the area of the figure?
Pie

Answer:

80.2

Step-by-step explanation:

6 0
1 year ago
Which choice is equivalent to the expression shown below? -3(3y-2x) +2(5x-4y)
kap26 [50]

Answer:

-17y + 16x

Step-by-step explanation:

-3(3y - 2x) + 2(5x - 4y) = -9y + 6x + 10x - 8y = -17Y + 16X.

If it is helpful, plz give me Brainliest.

7 0
3 years ago
Which quadrant contains the point named by (2,-5)?
valentina_108 [34]
No idea hope you figure it out tho !!
maybe 3?
7 0
3 years ago
Read 2 more answers
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