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damaskus [11]
2 years ago
11

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)? 3 4 5 9

Mathematics
2 answers:
Tamiku [17]2 years ago
5 0

Answer:  The correct option is (B) 4.

Step-by-step explanation:  We are given to find the value of x in the following  equation :

1.5(x+4)-3=4.5(x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the value of x, we need to solve equation (i) for x.

The solution of equation (i) is s follows :

1.5(x+4)-3=4.5(x-2)\\\\\Rightarrow 1.5x+6-3=4.5x-9\\\\\Rightarrow 1.5x+3=4.5x-9\\\\\Rightarrow 4.5x-1.5x=3+9\\\\\Rightarrow 3x=12\\\\\Rightarrow x=\dfrac{12}{3}\\\\\Rightarrow x=4.

Thus, the required value of x is 4.

Option (B) is CORRECT.

Arisa [49]2 years ago
3 0

1.5(x + 4) - 3 = 3.5(x - 2)

We need to use the distributive property to simplify this.

1.5x + 6 - 3 = 3.5x - 7

<em><u>Subtract 1.5x from both sides</u></em>

6 - 3 = 2x - 7

<em><u>Simplify left side</u></em>

3 = 2x - 7

<em><u>Add 7 to both sides</u></em>

10 = 2x

<em><u>Divide both sides by 2</u></em>

x = 5


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The average of a set of 18 consecutive integers is 22.5. what is the smallest integer in the set?
quester [9]
The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17

Sum of n term of an arithmetic sequence = n/2(a + l)
18/2(x + x + 17) = 405
9(2x + 17) = 405
2x + 17 = 405/9 = 45
2x = 45 - 17 = 28
x = 28/2 = 14

Therefore, the smallest integer is 14.
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2 years ago
The total number of shares in Marks brothers is increased by 12.8% how many shares will there be after the increase
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Answer:

Total number of shares is to increase by 12.8%

Step-by-step explanation:

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8 0
2 years ago
The basketball team sell t-shirts and hats as a fundraiser. they sold a total of 23 items and made a profit of $246. they made a
hjlf
S - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
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--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
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Answer: The basketball team sold 15 t-shirts and 8 hats.

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A machine in a chocolate factory is set to squirt out a predetermined amount of molten chocolate. When the machine is set to x,
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Sorry I need Points but I also need help

Step-by-step explanation:

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If the area of parallelogram ABCD = 246mm squared and h= 20.5 mm, what is the length of the base of triangle ABD?
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I hope this helps you



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246=base.20,5



base=12
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