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erik [133]
3 years ago
10

Simplify the expression. (7x + 1/2) + (4x − 3 1/2)

Mathematics
2 answers:
satela [25.4K]3 years ago
5 0
Hi there!

To solve this problem, we need to add the values of x together and find the answer.

(7x + 1/2) + (4x - 3 1/2)
= 7x + 4x + 1/2 - 3 1/2
= 11x - 3

So, your answer is 11x - 3.

Hope this helps!
NeTakaya3 years ago
4 0
Hi there!

(7x +  \frac{1}{2} ) + (4x - 3 \frac{1}{2} )
First we work out the parenthesis.

7x +  \frac{1}{2}  + 4x - 3 \frac{1}{2}
Now collect the terms.

11x - 3
And there's your solution.


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The perimeter of triangle ABC is 54. the triangle has side lengths AB=3x, BC=4x, AC=5x. Find the length of each side.
elena-14-01-66 [18.8K]

The perimeter of a triangle is the sum of its sides. So, we have

P = \overline{AB}+\overline{BC}+\overline{AC}

We have an exact value for the perimeter, and variable expressions for the sides. Let's substitute the formula above with what we're given:

54 = 3x+4x+5x = 12x

If you divide both sides by 12, you have

x = \dfrac{54}{12} = 4.5

So, the lengths of the sides are

AB = 3x = 3\times 4.5 = 13.5

BC = 4x = 4\times 4.5 = 18

AC = 5x = 5\times 4.5 = 22.5

7 0
3 years ago
5 -2x + 6y= -38<br> ? 3x – 4y = 32<br> •(-4, - 5)<br> •(-5, 4)<br> •(1, – 6)<br> (4, - 5)
Svet_ta [14]

Answer:

Option D (4, -5)

Step-by-step explanation:

This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they  balance simultaneously.

Checking Option 1 by plugging (-4, -5) in the first equation:

-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).

Checking Option 2 by plugging (-5, 4) in the first equation:

-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).

Checking Option 3 by plugging (1, -6) in the second equation:

3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).

Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!

7 0
3 years ago
Which equation can be used to solve for the value of x?
Viefleur [7K]

option : c. 2x + 15 = 145

cuz, the angles are vertical opposite angles

8 0
3 years ago
Read 2 more answers
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer. You do not want the vending
lorasvet [3.4K]

Answer:

H_0: \mu = 8

H_1: \mu \neq 8

Step-by-step explanation:

A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.

This means that the null hypothesis is that the mean is exactly 8, that is:

H_0: \mu = 8

You do not want the vending machines to deliver too much or too little soup.

We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:

H_1: \mu \neq 8

6 0
3 years ago
What is the value of n in the equation ?
Helen [10]

Answer:n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2

Step-by-step explanation:n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2 equal to yz7 (*970

8 0
3 years ago
Read 2 more answers
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