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2 years ago

Simplify the algebraic expression -2(x - 3) + 4(-2x + 8)

Mathematics

1 answer:

dangina [55]2 years ago

7 0

The answer to this equation is :-10x+38 because
-2x(x-3)+4(-2x+8)
(-2x+6)+(-8x+32)
(-2x+6)(-8x+32)
-2x+6-8x+32
-10x+38

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I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?

Valentin [98]

Given:

In a number, adding $1\dfrac{3}{4}$ , then multiplying the result by $2\dfrac{2}{11}$ we get 8.

To find:

The unknown number.

Solution:

Let the unknown number be x.

According to the question,

$(x+1\dfrac{3}{4})\times 2\dfrac{2}{11}=8$

$(x+\dfrac{1\times 4+3}{4})\times \dfrac{2\times 11+2}{11}=8$

$(x+\dfrac{4+3}{4})\times \dfrac{22+2}{11}=8$

$(x+\dfrac{7}{4})\times \dfrac{24}{11}=8$

Multiply both sides by $\dfrac{11}{24}$ .

$x+\dfrac{7}{4}=8\times \dfrac{11}{24}$

$x+\dfrac{7}{4}=\dfrac{11}{3}$

Subtract $\dfrac{7}{4}$ from both sides.

$x=\dfrac{11}{3}-\dfrac{7}{4}$

$x=\dfrac{44-21}{12}$

$x=\dfrac{23}{12}$

$x=1\dfrac{11}{12}$

Therefore, the required number is $1\dfrac{11}{12}$ .

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2 years ago

A snail moved 375 centimeters in 5 hours. How fast was the snail moving? Solve for speed.

ivann1987 [24]

Answer: 75 cm per hour

Step-by-step explanation:

375 divided by 5=75

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2 years ago

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Which pairs make the equation x-9y=12 true

Serggg [28]

Answer:

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Step-by-step explanation:

To do this problem, you have to plug in the x and y values. For example, the first one would be 12-9(0)=12, and so on.

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3 years ago

A survey was conducted to study the relationship between the annual income of a family and the amount of money the family spends

lisov135 [29]

Answer:

The correct option is d i.e. scatter plot

Step-by-step explanation:

The correct option is d i.e. scatter plot

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3 years ago

Math help please TY :3<br><br> HWAJDSK 10 POINTS REWARDING !!

valkas [14]

I will do Point A carefully, The others I will indicate. Start with the Given Point A. Then do the translations

A(-1,2) Original Point

Reflection: about x axis:x stays the same; y becomes -y:Result(-1,-2)

T<-3,4>: x goes three left, y goes 4 up (-1 - 3, -2 + 4): Result(-4,2)

R90 CCW: Point (x,y) becomes (-y , x ) So (-4,2) becomes(-2, - 4): Result (-2, - 4)

B(4,2) Original Point

Reflection: (4, - 2)
T< (-3,4): (4-3,-2 + 4): (1 , 2)
R90 CCW: (-y,x) = (-2 , 1)

C(4, -5) Original Point

Reflection (4,5)
T<-3,4): (4 - 3, 5 + 4): (1,9)
R90, CCW (-9 , 1)

D(-1 , -5) Original Point

Reflection (-1,5)
T(<-3,4): (-1 - 3, 5 + 4): (-4,9)
R90, CCW ( - 9, - 4)

Note: CCW means Counter Clockwise

The graph on the left is the same one you have been given.

The graph on the right is the same figure after all the transformations

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