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3 years ago

Are the two expressions equivalent when x = 5? 24x + 18 and 6 (4x + 2)

Mathematics

1 answer:

patriot [66]3 years ago

3 0

Answer:

Nope-

Step-by-step explanation:

24x + 18 = 138

6 (4x + 2) = 132

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Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)

Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

First, lets see if line AB is parallel to line CD.

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

Now, lets see if line BC is parallel to line AD.

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

Conclusion

ABCD is a parallelogram because it contains two parallel sides.

5 0

3 years ago

The football team has a total of

sergij07 [2.7K]

In the given problem it is already given that the total number of jerseys are 50. Out of them 35 are mid sized jerseys. We can see that all required information's are already present in the problem.
Total number of medium sized jerseys = 35
Total number of jerseys = 50
Percentage of medium sized jerseys = (35/50) * 100
= 35 * 2
= 70
So 70% of the jerseys are mid sized jerseys. This is the only way to find the percentage of mid-sized jerseys. I hope this method is clear to you and you can attempt any problem like this in the future.

3 0

3 years ago

Read 2 more answers

Find the value of X

iren2701 [21]

The answer is x equals 17

3 0

3 years ago

A scale drawing for the floor of a rectangular office shows the floor to be 33 feet long and 24 feet wide. The business wants to

Fynjy0 [20]

Answer:

C. 7.15 cm

Step-by-step explanation:

step 1

Find the new length of the floor

Remember that

$100\%+30\%=130\%=130/100=1.30$

The new length is equal to the original length multiplied by 1.30

$33(1.3)=42.9\ ft$

step 2

Find the length of the floor on the new scale drawing

we have that

The scale drawing is

$\frac{1}{6}\ \frac{cm}{ft}$

That means

1 cm in the drawing represent 6 feet in the actual

Multiply the length of the floor in the actual by the scale drawing

$\frac{1}{6}(42.9)=7.15\ cm$

3 0

4 years ago

Solomon has $118 he wants to purchase concert tickets for himself and five friends each tickets cost $19 does he have enough mon

Anon25 [30]

Yes, Solomon has enough money to purchase the tickets for himself and his 5 friends. Purchasing 6 tickets at the cost of $19 will cost Solomon $114. As a result, Solomon has enough to money to pay for the tickets.

7 0

3 years ago