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muminat
2 years ago
13

Question 7 of 10

Mathematics
1 answer:
Ganezh [65]2 years ago
3 0

Answer:

  • Option B

Step-by-step explanation:

Given Equation :

\qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2

Using distribute property:

\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2

Adding the like terms we get :

\qquad \sf \dashrightarrow \: 12x + 9 = 2x  + 5x  - 15 + 2

\qquad \sf \dashrightarrow \: 12x + 9 = 7x  - 13

Transposing the variables on the right side and constant terms on the left side :

\qquad \sf \dashrightarrow \: 12x  - 7x =   - 13 - 9

\qquad \sf \dashrightarrow \: 5x =   - 22

Dividing both sides by 5 :

\qquad \sf \dashrightarrow \:  \dfrac{5x}{5}  =  \dfrac{ - 22}{5}

\qquad \bf \dashrightarrow \:  x =  \dfrac{ - 22}{5}

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2 years ago
Quadrilateral ABCD is a rectangle. If AE = 36 and CE = 2x - 4, find x.<br> B<br> E<br> А.<br> D
krek1111 [17]

The value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We know that the diagonal of the rectangle bisect each other.

AE = CE

36 = 2x - 4

2x = 40

x = 20

Thus, the value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

Learn more about the rectangle here:

brainly.com/question/15019502

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8 0
2 years ago
In the statement, “Weight is a function of height,” which variable is the input and which is the output?
3241004551 [841]

Answer:

A. Height is input, Weight is output

Step-by-step explanation:

We are given the statement,

"Weight is a function of height".

As we know,

<em>In a function of the form y=f(x), the input variable is 'x' and the output variable is 'y'.</em>

If we write the given statement in the form y=f(x), we get,

Weight=f(Height)

This means that the input variable is 'Height' and the output variable is 'Weight'.

Hence, option A is correct.

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The ratio of blueberries and strawberries is 1:7. If there are 210 strawberries how many blueberries are there?
Travka [436]

Answer:

There are 30 blue berries

Step-by-step explanation:

1:7

_:210

210/7

30

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3 years ago
If 3 pounds of apples cost $3.85, how much will 18<br> pounds of apples cost?
Mekhanik [1.2K]

Answer: $23.10

Step-by-step explanation:

18/3 = 6

3.85 x 6 = $23.10

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