Simplify the expression. 13−2(1−15)÷4 (1 point) Responses -38.5 -38.5 7.25 7.25 -26 -26 20

Answer 1

To simplify the expression 13 - 2(1 - 15) ÷ 4, we first start by solving the expression inside the parentheses 1 - 15:

1 - 15 = -14

Now we substitute the result of the parentheses back into the expression:

13 - 2(-14) ÷ 4

Next, we perform the multiplication:

13 - (-28) ÷ 4

Now we perform the division:

13 + 7 = 20

So the simplified expression is 20.

Answer 2

Solve for x. −5x+2=67 (1 point) Responses x=−3/5 x = −69/5 x = − 13 x x=13

Answer 3

To solve for x in the equation -5x + 2 = 67, we can start by subtracting 2 from both sides of the equation:

-5x + 2 - 2 = 67 - 2
-5x = 65

Next, we divide both sides of the equation by -5 to isolate the variable x:

(-5x) / -5 = 65 / - 5
x = -13

So, the value of x that solves the equation is x = -13.

Answer 4

Solve for r. r/5 − 6 = −1 (1 point) Responses r = 5 r = 5 r = 25 r = 25 r = 35 r = 35 r = 10 r = 10

Answer 5

To solve for r in the equation r/5 - 6 = -1, we can start by adding 6 to both sides of the equation:

r/5 - 6 + 6 = -1 + 6
r/5 = 5

Next, we can multiply both sides of the equation by 5 to isolate the variable r:

(r/5) * 5 = 5 * 5
r = 25

So, the value of r that solves the equation is r = 25.

Answer 6

Solve for x. −3x−8=10 (1 point) Responses x = -54 x = -54 x = -6 x = -6 x = 54 x = 54 x = 6 x = 6

Answer 7

To solve for x in the equation -3x - 8 = 10, we can start by adding 8 to both sides of the equation:

-3x - 8 + 8 = 10 + 8
-3x = 18

Next, we divide both sides of the equation by -3 to isolate the variable x:

(-3x) / -3 = 18 / -3
x = -6

So, the value of x that solves the equation is x = -6.

Answer 8

Simplify the expression.

(2x+2)−(3x+11)
(1 point)
Responses

5x−9
5 x minus 9

−x−9
negative x minus 9

−x−13
negative x minus 13

5x−13

Answer 9

To simplify the expression (2x+2)−(3x+11), we distribute the negative sign to every term inside the second parentheses:

(2x + 2) - (3x + 11) = 2x + 2 - 3x - 11

Now we can combine like terms:

(2x - 3x) + (2 - 11) = -x - 9

So, the simplified expression is -x - 9.

Answer 10

What is the first step in solving the equation:

20=6x−4
(1 point)
Responses

Subtract 4 from both sides
Subtract 4 from both sides

Subtract 20 from both sides
Subtract 20 from both sides

Divide both sides by 4
Divide both sides by 4

Add 4 to both sides

Answer 11

The first step in solving the equation 20 = 6x - 4 is to add 4 to both sides.

So, the correct response would be: Add 4 to both sides.

Answer 12

Simplify the expression.

6(3x−5)+2(3x−5)−8(2x−5)
(1 point)
Responses

8x
8 x

24x−40
24 x minus 40

36x−60
36 x minus 60

48x−80
48 x minus 80

Answer 13

To simplify the expression 6(3x - 5) + 2(3x - 5) - 8(2x - 5), we can start by applying the distributive property:

6(3x - 5) + 2(3x - 5) - 8(2x - 5) = 18x - 30 + 6x - 10 - 16x + 40

Next, we can combine like terms:

(18x + 6x - 16x) + (-30 - 10 + 40) = 8x + 0 = 8x

So, the simplified expression is 8x.

Answer 14

Write an equation and solve for the unknown number.

Twice a number, increased by 3 is 7.

(1 point)
Responses

The number is 2.
The number is 2.

The number is 8.
The number is 8.

The number is 20.
The number is 20.

The number is 5.
The number is 5.

Answer 15

Let's assume the unknown number is represented by x.

The equation, "Twice a number, increased by 3 is 7" can be written as:

2x + 3 = 7

To solve for x, we can start by subtracting 3 from both sides of the equation:

2x + 3 - 3 = 7 - 3
2x = 4

Next, divide both sides of the equation by 2 to isolate the variable x:

(2x) / 2 = 4 / 2
x = 2

Therefore, the unknown number is 2.

Answer 16

Solve for x.

3x−7−2x+5=6
(1 point)
Responses

x = 7
x = 7

x = -8
x = -8

x = 8
x = 8

x = 4

Answer 17

To solve for x in the equation 3x - 7 - 2x + 5 = 6, we can start by combining like terms on both sides:

(3x - 2x) + (-7 + 5) = 6
x - 2 = 6

Next, we can isolate the variable x by adding 2 to both sides of the equation:

x - 2 + 2 = 6 + 2
x = 8

So, the solution to the equation is x = 8.

Answer 18

In Atlanta, the temperature was −2 °F
in the morning in the winter. There was a winter storm, and the temperature dropped 10 degrees. What is the temperature now?(1 point)
Responses

−12 °F
−12 °F

12 °F
12 °F

−8 °F
−8 °F

8 °F

Answer 19

If the temperature in Atlanta was -2°F in the morning and dropped 10 degrees due to a winter storm, we need to subtract 10 from -2 to find the new temperature:

-2°F - 10°F = -12°F

Therefore, the temperature now is -12°F.

Answer 20

Shawn is solving the equation

x7−47=−6

One of his steps is to multiply both sides of the equation by 7. Why?

(1 point)
Responses

Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.

Multiplying both sides by 7 undoes the subtraction in the original problem.
Multiplying both sides by 7 undoes the subtraction in the original problem.

Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.

The negative sign in -6 must be changed to positive.
The negative sign in -6 must be changed to positive.

Answer 21

Multiplying both sides of the equation by 7 undoes the division of x by 7 in the original problem.

Answer 22

A mountain climber starts a climb at an elevation of 380 ft. above sea level. At his first rest stop he has climbed 182 ft., and by his second rest stop he has climbed another 208 ft. It is getting late in the day, so the climber starts his way down the mountain. If the climber descends 235 ft, how much does he need to descend to return to his original starting point?(1 point)
Responses

155 feet
155 feet

78 feet
78 feet

535 feet
535 feet

235 feet

Answer 23

To calculate how much the climber needs to descend to return to his original starting point, we need to consider the total change in elevation.

The climber started at an elevation of 380 ft. He then climbed 182 ft, and then another 208 ft. The total ascent is 182 + 208 = 390 ft.

Since the climber is now descending, we subtract the descent from the total ascent:
390 ft - 235 ft = 155 ft

Therefore, the climber needs to descend 155 feet to return to his original starting point.

Answer 24

Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, how much is the regular price of each ticket?(1 point)
Responses

$10.00
$10.00

$7.00
$7.00

$8.25
$8.25

$8.75
$8.75

Answer 25

To find the regular price of each ticket, we can start with the total cost and divide it by the number of tickets Dea bought.

Dea bought 6 tickets and her total cost is $51.

To find the regular price of each ticket, we divide the total cost by the number of tickets:
$51 / 6 = $8.50

Therefore, the regular price of each ticket is $8.50. However, the answer choices do not include this exact amount. The closest option is $8.75.

Answer 26

Which situation is best represented by the following equation?

12h+30=258
(1 point)
Responses

Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $258 last week. He was paid a $12 bonus and $30 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $258 last week. He was paid a $12 bonus and $30 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $30 last week. He was paid a $12 bonus and $258 for each hour he worked. What is h, the number of hours Eric worked last week?

Answer 27

The equation 12h + 30 = 258 can be best represented by the situation:
"Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?"

In this equation, the 12h term represents the payment Eric received for working h hours, and the equation represents the total payment he received with the additional $30.

Answer 28

Solve for x.

1/3(6x−9)=−33
(1 point)
Responses

x = -30
x = -30

x = -15
x = -15

x = -22
x = -22

x = -19

Answer 29

To solve for x in the equation 1/3(6x - 9) = -33, we can start by multiplying both sides of the equation by 3 to eliminate the fraction:

3 * (1/3)(6x - 9) = 3 * (-33)

This simplifies to:

6x - 9 = -99

Then, we can add 9 to both sides of the equation to isolate the variable x:

6x - 9 + 9 = -99 + 9

This simplifies to:

6x = -90

Finally, we divide both sides of the equation by 6 to solve for x:

(6x) / 6 = -90 / 6

This simplifies to:

x = -15

Therefore, the solution to the equation is x = -15.

Answer 30

Solve for x.

−3/5(15x−30)=198
(1 point)
Responses

x = -24
x = -24

x = -36
x = -36

x = -10
x = -10

x = -20

Answer 31

To solve for x in the equation -3/5(15x - 30) = 198, we can start by multiplying both sides of the equation by -5/3 to eliminate the fraction:

(-5/3) * (-3/5)(15x - 30) = (-5/3)(198)

This simplifies to:

15x - 30 = -330/3

Next, we can simplify the right side of the equation:

-330/3 = -110

Then, we add 30 to both sides of the equation to isolate the variable x:

15x - 30 + 30 = -110 + 30

This simplifies to:

15x = -80

Finally, we divide both sides of the equation by 15 to solve for x:

(15x) / 15 = -80 / 15

This simplifies to:

x = -16/3

Therefore, the solution to the equation is x = -16/3, which can also be written as x = -5 1/3.

Answer 32

x = -16/3 isn't an option

Answer 33

Apologies for that confusion. Let's solve it again.

To solve for x in the equation -3/5(15x - 30) = 198, we can follow these steps:

Start by distributing -3/5 to the terms inside the parentheses:

-3/5 * 15x - 3/5 * -30 = 198

This simplifies to:

-9x + 18 = 198

Next, isolate the variable x by subtracting 18 from both sides of the equation:

-9x + 18 - 18 = 198 - 18

This simplifies to:

-9x = 180

Finally, divide both sides of the equation by -9 to solve for x:

(-9x) / -9 = 180 / -9

This simplifies to:

x = -20

Therefore, the solution to the equation is x = -20.

Answer 34

Solve for x.

3(4x−12)=84
(1 point)
Responses

x = 15
x = 15

x = 12
x = 12

x = 10
x = 10

x = 4
x = 4

Answer 35

To solve for x in the equation 3(4x - 12) = 84, we can simplify the equation and then isolate the variable x.

Begin by distributing the 3 to the terms inside the parentheses:

12x - 36 = 84

Next, add 36 to both sides of the equation:

12x - 36 + 36 = 84 + 36

This simplifies to:

12x = 120

Finally, divide both sides of the equation by 12:

(12x) / 12 = 120 / 12

This simplifies to:

x = 10

Therefore, the solution to the equation is x = 10.

Answer 36

Solve for x.

20(2x−8)=440
(1 point)
Responses

x = 5
x = 5

x = 9
x = 9

x = 2
x = 2

x = 15
x = 15

Answer 37

To solve for x in the equation 20(2x - 8) = 440, we can simplify the equation and then isolate the variable x.

Begin by distributing the 20 to the terms inside the parentheses:

40x - 160 = 440

Next, add 160 to both sides of the equation:

40x - 160 + 160 = 440 + 160

This simplifies to:

40x = 600

Finally, divide both sides of the equation by 40:

(40x) / 40 = 600 / 40

This simplifies to:

x = 15

Therefore, the solution to the equation is x = 15.

Answer 38

Solve for x.

0.72=0.4(x+1.4)
(1 point)
Responses

x = -1.4
x = -1.4

x = 0.27
x = 0.27

x = 1.2
x = 1.2

x = 0.4

Answer 39

To solve for x in the equation 0.72 = 0.4(x + 1.4), we can simplify the equation and then isolate the variable x.

First, distribute the 0.4 to the terms inside the parentheses:

0.72 = 0.4x + 0.4(1.4)

0.72 = 0.4x + 0.56

Next, subtract 0.56 from both sides of the equation:

0.72 - 0.56 = 0.4x

0.16 = 0.4x

Finally, divide both sides of the equation by 0.4 to solve for

Answer 40

Solve for x.

2(1.5x−7)=6
(1 point)
Responses

x = 0.67
x = 0.67

x = 7
x = 7

x = 6.67
x = 6.67

x = 9.5

Answer 41

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