Asked by Anvil fell on my head

Simplify the expression.

13−2(1−15)÷4

responses
A. -38.5
B. 7.25
C. -26
D. 20
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Solve for r. r5−6=−1
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Solve for x. −3x−8=10
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Simplify the expression. (2x+2)−(3x+11)
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What is the first step in solving the equation: 20=6x−4
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Simplify the expression. 6(3x−5)+2(3x−5)−8(2x−5)
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Write an equation and solve for the unknown number. Twice a number, increased by 3 is 7.
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Solve for x. 3x−7−2x+5=6
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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?
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Shawn is solving the equation x/7−47=−6 One of his steps is to multiply both sides of the equation by 7. Why?
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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?
Answered by Anvil fell on my head
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?
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Solve for x. 1/3 (6x − 9) = −33
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wrong
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Solve for x. −3/5(15x−30)=198
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Solve for x. 3(4x−12)=84
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Solve for x. 20(2x−8)=440
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Solve for x. 0.72=0.4(x+1.4)
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Solve for x. 2(1.5x−7)=6
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Solve for x. 5x−2x+4=−5
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Solve for x. 9x+9x−21=33
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Solve for x. 14x−3x+11=−22
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At Mariah's birthday party, 9 of her friends ate 34 of her chocolate cake. How much of the cake did each friend eat?
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as a fraction
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its wrong
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The product of 9 and the sum of a number and 8 is 180. What is the number?
Answered by Anvil fell on my head
Wrong the answer is 12
Answered by GPT 3.5
To simplify the expression 13 - 2(1 - 15) ÷ 4, first calculate the value inside the parentheses:

1 - 15 = -14.

Then, multiply -14 by 2:

-14 * 2 = -28.

Next, divide -28 by 4:

-28 ÷ 4 = -7.

Finally, subtract -7 from 13:

13 - (-7) = 13 + 7 = 20.

Therefore, the simplified expression is 20.

The correct response is D. 20.
Answered by GPT 3.5
To solve for r in the equation r^5 - 6 = -1, we can follow these steps:

1. Add 6 to both sides of the equation to isolate the term with r:
r^5 = -1 + 6
r^5 = 5

2. Take the fifth root of both sides to eliminate the exponent of 5:
∛(r^5) = ∛5
r = ∛5

Therefore, the solution for r is the cube root of 5.
Answered by GPT 3.5
To solve for x in the equation -3x - 8 = 10, we can follow these steps:

1. Add 8 to both sides of the equation to isolate the term with x:
-3x = 10 + 8
-3x = 18

2. Divide both sides by -3 to solve for x:
x = 18 / -3
x = -6

Therefore, the solution for x is -6.
Answered by GPT 3.5
To simplify the expression (2x + 2) - (3x + 11), we can distribute the negative sign to the terms inside the second parentheses:

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

Next, combine like terms:

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

Therefore, the simplified expression is -x - 9.
Answered by GPT 3.5
The first step in solving the equation 20 = 6x - 4 is to isolate the term with x. To do this, we can add 4 to both sides of the equation.

Adding 4 to both sides:

20 + 4 = 6x - 4 + 4

This simplifies to:

24 = 6x

Now, the equation is in the form 6x = 24.
Answered by GPT 3.5
To simplify the expression 6(3x - 5) + 2(3x - 5) - 8(2x - 5), we can distribute the coefficients to the terms inside the parentheses:

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

Next, combine like terms:

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

Therefore, the simplified expression is 8x.
Answered by GPT 3.5
To represent the given situation as an equation, we'll use the variable "x" to represent the unknown number. The equation can be written as:

2x + 3 = 7

Now, let's solve for x:

Subtracting 3 from both sides of the equation:

2x + 3 - 3 = 7 - 3

This simplifies to:

2x = 4

Next, divide both sides of the equation by 2 to solve for x:

2x / 2 = 4 / 2

This gives us:

x = 2

Therefore, the unknown number is 2.
Answered by GPT 3.5
To solve for x in the equation 3x - 7 - 2x + 5 = 6, we can combine like terms:

Start by simplifying 3x - 2x:

3x - 2x = x

Next, simplify -7 + 5:

-7 + 5 = -2

Now, substitute the simplified terms back into the equation:

x - 2 = 6

To isolate x, we can add 2 to both sides of the equation:

x - 2 + 2 = 6 + 2

This simplifies to:

x = 8

Therefore, the solution for x is 8.
Answered by GPT 3.5
To find the temperature after the temperature dropped by 10 degrees, you can subtract 10 from the initial temperature of -2 °F.

-2 °F - 10 = -12 °F

Therefore, the temperature now is -12 °F.
Answered by GPT 3.5
Shawn multiplied both sides of the equation x/7 - 47 = -6 by 7 in order to eliminate the denominator (7) from the left side of the equation. By multiplying the entire equation by 7, the fraction x/7 becomes x, resulting in a simplified equation that is easier to solve.
Answered by GPT 3.5
To determine how much the climber needs to descend to return to his original starting point, we need to calculate the net change in elevation.

First, let's calculate the total distance climbed by adding the elevations at each rest stop:

182 ft + 208 ft = 390 ft.

Therefore, the climber has climbed a total of 390 ft.

Next, to find the total change in elevation, we need to subtract the net increase in elevation from the net decrease in elevation:

Total change in elevation = Total climb - Total descent
= 390 ft - 235 ft
= 155 ft.

The climber would need to descend an additional 155 ft to return to his original starting point.
Answered by GPT 3.5
Let's represent the regular price of each ticket as x.

Since Dea buys 6 tickets at a discount of $1.50 off the regular price, the cost of each ticket after the discount is x - $1.50.

The total cost of 6 tickets would be 6 times the cost of each ticket after the discount:

6(x - $1.50) = $51

Now, we can solve for the regular price of each ticket by solving the equation.

First, distribute the 6 to the terms inside the parentheses:

6x - 9 = $51

Next, isolate the variable term by adding 9 to both sides:

6x = $51 + $9
6x = $60

Finally, divide both sides by 6 to solve for x:

x = $60 / 6
x = $10

Therefore, the regular price of each ticket is $10.
Answered by GPT 3.5
To solve for x in the equation 1/3(6x - 9) = -33, we can follow these steps:

1. Distribute 1/3 to the terms inside the parentheses:
(1/3)(6x - 9) = -33
(2x - 3)/3 = -33

2. Multiply both sides of the equation by 3 to eliminate the fraction:
3 * (2x - 3)/3 = -33 * 3
2x - 3 = -99

3. Add 3 to both sides to isolate the term with x:
2x - 3 + 3 = -99 + 3
2x = -96

4. Divide both sides by 2 to solve for x:
(2x)/2 = (-96)/2
x = -48

Therefore, the solution for x is -48.
Answered by GPT 3.5
Apologies for the mistake. Let's start over and solve the equation correctly:

To solve for x in the equation (1/3)(6x - 9) = -33, we can follow these steps:

1. Distribute 1/3 to the terms inside the parentheses:
(1/3)(6x - 9) = -33
2x - 3 = -33

2. Add 3 to both sides to isolate the term with x:
2x - 3 + 3 = -33 + 3
2x = -30

3. Divide both sides by 2 to solve for x:
(2x)/2 = (-30)/2
x = -15

Therefore, the solution for x is -15.
Answered by GPT 3.5
To solve for x in the equation (-3/5)(15x - 30) = 198, we can follow these steps:

1. Distribute -3/5 to the terms inside the parentheses:
(-3/5)(15x - 30) = 198
(-3/5)*15x - (-3/5)*30 = 198
-9x + 6 = 198

2. Subtract 6 from both sides to isolate the term with x:
-9x + 6 - 6 = 198 - 6
-9x = 192

3. Divide both sides by -9 to solve for x:
(-9x)/-9 = 192/-9
x = -192/9

We can further simplify -192/9 by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
-192/9 = -64/3

Therefore, the solution for x is -64/3.
Answered by GPT 3.5
To solve for x in the equation 3(4x - 12) = 84, we can follow these steps:

1. Distribute 3 to the terms inside the parentheses:
3(4x - 12) = 84
12x - 36 = 84

2. Add 36 to both sides to isolate the term with x:
12x - 36 + 36 = 84 + 36
12x = 120

3. Divide both sides by 12 to solve for x:
(12x)/12 = 120/12
x = 10

Therefore, the solution for x is 10.
Answered by GPT 3.5
To solve for x in the equation 20(2x - 8) = 440, we can follow these steps:

1. Distribute 20 to the terms inside the parentheses:
20(2x - 8) = 440
40x - 160 = 440

2. Add 160 to both sides to isolate the term with x:
40x - 160 + 160 = 440 + 160
40x = 600

3. Divide both sides by 40 to solve for x:
(40x)/40 = 600/40
x = 15

Therefore, the solution for x is 15.
Answered by GPT 3.5
To solve for x in the equation 0.72 = 0.4(x + 1.4), we can follow these steps:

1. Distribute 0.4 to the terms inside the parentheses:
0.4(x + 1.4) = 0.72
0.4x + 0.56 = 0.72

2. Subtract 0.56 from both sides to isolate the term with x:
0.4x + 0.56 - 0.56 = 0.72 - 0.56
0.4x = 0.16

3. Divide both sides by 0.4 to solve for x:
(0.4x)/0.4 = 0.16/0.4
x = 0.4

Therefore, the solution for x is 0.4.
Answered by GPT 3.5
To solve for x in the equation 2(1.5x - 7) = 6, we can follow these steps:

1. Distribute 2 to the terms inside the parentheses:
2(1.5x - 7) = 6
3x - 14 = 6

2. Add 14 to both sides to isolate the term with x:
3x - 14 + 14 = 6 + 14
3x = 20

3. Divide both sides by 3 to solve for x:
(3x)/3 = 20/3
x = 20/3

Therefore, the solution for x is 20/3 or 6.67.
Answered by GPT 3.5
To solve for x in the equation 5x - 2x + 4 = -5, we can follow these steps:

1. Combine like terms on the left side of the equation:
5x - 2x + 4 = -5
3x + 4 = -5

2. Subtract 4 from both sides to isolate the term with x:
3x + 4 - 4 = -5 - 4
3x = -9

3. Divide both sides by 3 to solve for x:
(3x)/3 = (-9)/3
x = -3

Therefore, the solution for x is -3.
Answered by GPT 3.5
To solve for x in the equation 9x + 9x - 21 = 33, we can follow these steps:

1. Combine like terms on the left side of the equation:
18x - 21 = 33

2. Add 21 to both sides to isolate the term with x:
18x - 21 + 21 = 33 + 21
18x = 54

3. Divide both sides by 18 to solve for x:
(18x)/18 = 54/18
x = 3

Therefore, the solution for x is 3.
Answered by GPT 3.5
To solve for x in the equation 14x - 3x + 11 = -22, we can follow these steps:

1. Combine like terms on the left side of the equation:
14x - 3x + 11 = -22
11x + 11 = -22

2. Subtract 11 from both sides to isolate the term with x:
11x + 11 - 11 = -22 - 11
11x = -33

3. Divide both sides by 11 to solve for x:
(11x)/11 = (-33)/11
x = -3

Therefore, the solution for x is -3.
Answered by GPT 3.5
To find out how much of the cake each friend ate, we need to divide the total amount of cake eaten (34) by the number of friends (9).

34 / 9 ≈ 3.7778

So, each friend ate approximately 3.7778 pieces of the chocolate cake.
Answered by GPT 3.5
To represent the amount of cake each friend ate as a fraction, we can write it as 34/9.

Therefore, each friend ate 34/9 of the chocolate cake.
Answered by GPT 3.5
Apologies for the mistake. Let's recalculate the amount of cake each friend ate as a fraction.

To determine the fraction, we need to divide the total amount of cake eaten (34) by the number of friends (9).

34 / 9 = 3 remainder 7

Since each friend cannot eat a fraction of a cake, we can say that each friend ate 3 whole pieces of the cake.

Therefore, each friend ate 3/9 or 1/3 of the chocolate cake.
Answered by GPT 3.5
Let's represent the unknown number as x.

The equation can be written as:

9(x + 8) = 180

Now, let's solve for x:

1. Distribute 9 to the terms inside the parentheses:

9x + 72 = 180

2. Subtract 72 from both sides to isolate the term with x:

9x + 72 - 72 = 180 - 72

9x = 108