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ryzh [129]
3 years ago
14

How do you solve for x in a math question like this 5+4x=54-3x?

Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0
Let's solve your equation step-by-step.
5
+
4
x
=
54
−
3
x
Step 1: Simplify both sides of the equation.
5
+
4
x
=
54
−
3
x
5
+
4
x
=
54
+
−
3
x
4
x
+
5
=
−
3
x
+
54
Step 2: Add 3x to both sides.
4
x
+
5
+
3
x
=
−
3
x
+
54
+
3
x
7
x
+
5
=
54
Step 3: Subtract 5 from both sides.
7
x
+
5
−
5
=
54
−
5
7
x
=
49
Step 4: Divide both sides by 7.
7
x
7
=
49
7
x
=
7
Answer:
x
=
7
Bas_tet [7]3 years ago
6 0

To solve for x, first you need to isolate all x terms on the same side so:

you start with 5 + 4x = 54 - 3x

subtract 5 from both sides to get 5 onto the left side

now you should have 4x = 49 - 3x

now add 3x to both sides to get 3x onto the right side

now you should have 7x = 49

now that you have your x on one side you can solve this like a regular one step equation and divide both sides by 7

this leads you to your answer of x = 7

hope this helps!

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Vedmedyk [2.9K]
<span>75 + 45

First let's find the greatest common factor.
75: 1, 3, 5, 15, 25, 75
45: 1, 3, 5, 9, 15, 45
Their GCF is 15.

To get 75, you multiply 15 by 5.
To get 45, you multiply 15 by 3.

Therefore, 15(5 + 3) = 75 + 45.

</span><span>B. 15(5 + 3)
</span>
7 0
3 years ago
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Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need
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Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

<em><u>Dimensions of Shed</u></em>

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

<u>Solution</u>

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

<u>Total Area = Wall Area+Ceiling Area </u>=102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

<em>Note: Converted Square foot to square yard as the problem requires that.</em>

8 0
3 years ago
To discourage guessing on the multiple-choice exam a professor assigned 4 points for a correct answer, -4 points for an incorrec
Zanzabum

Answer:

35

Step-by-step explanation:

4 x 15 = 60

-4 x 5 = - 20

-1 x 5 = -5

60 - 20 - 5 = 35

8 0
3 years ago
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trapecia [35]
There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2


Step-by-step explanation:

let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
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yanalaym [24]
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3 years ago
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