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3 years ago

What is 8x+11-3x=2x+2

Mathematics

2 answers:

Scilla [17]3 years ago

7 0

Answer:

x=−3

Step-by-step explanation:

8x+11−3x=2x+2

Step 1: Simplify both sides of the equation.

8x+11−3x=2x+2

8x+11+−3x=2x+2

(8x+−3x)+(11)=2x+2(Combine Like Terms)

5x+11=2x+2

Step 2: Subtract 2x from both sides.

5x+11−2x=2x+2−2x

3x+11=2

Step 3: Subtract 11 from both sides.

3x+11−11=2−11

3x=−9

Step 4: Divide both sides by 3.

−9

x=−3

igor_vitrenko [27]3 years ago

5 0

Answer: x = -3

Step-by-step explanation: Isolate the variable by dividing each side by factors that do not contain a variable.

I hope this helps you out. :)

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Rosa brought d drawings to an art show. After selling 17 of them, she had 22

Roman55 [17]

Answer:

C) d - 17 = 22

Step-by-step explanation:

selling 17 means she had 17 less than what she brought

d - 17 = 22 means: 22 is 17 less than what she brought

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3 years ago

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Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225

Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

$m=100\ pages/hour$

$b=225\ pages$

$y=-100x+225$ ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

$0=-100x+225$

$100x=225$

$x=2.25\ hours$ ---> Xanthia's time to finish reading the book

<em>Molly</em>

$m=50\ pages/hour$

$b=225\ pages$

$y=-50x+225$ ----> the slope is negative because is a decreasing function

For y=0

$0=-50x+225$

$50x=225$

$x=4.5\ hours$ --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

$4.5\ h-2.25\ h=2.25\ h$

Convert to minutes

Multiply by 60

$2.25\ h=2.25(60)=135\ minutes$

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3 years ago

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What is the pattern to 1,2,4,7,11

Svetllana [295]

Answer:

1+1=2

2+2=4

4+3=7

7+4=11

so the patter is number + natural numbers (serially)

Step-by-step explanation:

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3 years ago

If segment DF is an angle bisector, solve for x

klasskru [66]

Answer:

x = 19

Step-by-step explanation:

Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is

$\frac{DE}{DG}$ = $\frac{EF}{GF}$ , substitute values

$\frac{25}{22.5}$ = $\frac{x-9}{9}$ ( cross- multiply )

22.5(x - 9) = 225 ( divide both sides by 22.5 )

x - 9 = 10 ( add 9 to both sides )

x = 19

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3 years ago

Max went to the store and bought 22 apples. He bought twice as many red apples as he did green, and he bought one-third many yel

katrin [286]

Let the number of green apples bought be x

Green apples = x

Red apples = 2x

Yellow apples = 1/3 (2x) = 2/3 x

Total = 22 apples

x + 2x + 2/3 x = 22

11/3 x = 22

11x = 66

x = 6

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Red apples = 2x = 2(6) = 12

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Answer: Green = 6, Red = 12, Yellow = 4

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3 years ago