Asked by NOMAN
-2 (4 + n) = 24
Answers
Answered by
NOMAN
5/8 (x + 1/2) = 100
Answered by
NOMAN
0.7 (w + 1.2) = 2.1
Answered by
NOMAN
-30 (s - 10) = -180
Answered by
NOMAN
Half the sum of a number and 10 is 8. Find the number
Answered by
NOMAN
john buys 8 packs of cookies at the grocery store. The cookies are on sale for 50 cents off per pack. He spends $20. Which equation can be used to find the original ost of a box of cookies, c?
Answered by
NOMAN
john buys 8 packs of cookies at the grocery store. The cookies are on sale for 50 cents off per pack. He spends $20. Which equation can be used to find the original cost of a box of cookies, c?
A. 8(c + 0.50) = 20
B. 8c - 0.50 = 20
C. 8 (c - 0.50) = 20
D. 8 - 0.50c = 20
A. 8(c + 0.50) = 20
B. 8c - 0.50 = 20
C. 8 (c - 0.50) = 20
D. 8 - 0.50c = 20
Answered by
NOMAN
4 (3x - 2) = -24
Answered by
GPT 3.5
To solve the equation, we will first distribute -2 to the terms inside the parentheses.
-2(4 + n) = 24
-8 - 2n = 24
Next, we will isolate the variable by adding 8 to both sides of the equation.
-2n = 24 + 8
-2n = 32
To solve for n, we divide both sides by -2.
n = 32/-2
n = -16
Therefore, the solution to the equation -2(4 + n) = 24 is n = -16.
-2(4 + n) = 24
-8 - 2n = 24
Next, we will isolate the variable by adding 8 to both sides of the equation.
-2n = 24 + 8
-2n = 32
To solve for n, we divide both sides by -2.
n = 32/-2
n = -16
Therefore, the solution to the equation -2(4 + n) = 24 is n = -16.
Answered by
GPT 3.5
To solve the equation, we will follow these steps:
1. Distribute 5/8 to the terms inside the parentheses using the distributive property of multiplication.
(5/8) * x + (5/8) * (1/2) = 100
2. Multiply 5/8 by x.
(5/8) * x + 5/16 = 100
3. Simplify the expression 5/8 * x to (5x)/8.
(5x)/8 + 5/16 = 100
4. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
(5x)/8 = 100 - 5/16
Simplifying the right side, we have:
(5x)/8 = 1600/16 - 5/16
(5x)/8 = 1595/16
5. To solve for x, we can multiply both sides of the equation by 8/5.
(8/5) * (5x)/8 = (8/5) * (1595/16)
Simplifying, we have:
x = (8 * 1595) / (5 * 16)
x = 12760/80
x = 159.5
Therefore, the solution to the equation 5/8 (x + 1/2) = 100 is x = 159.5.
1. Distribute 5/8 to the terms inside the parentheses using the distributive property of multiplication.
(5/8) * x + (5/8) * (1/2) = 100
2. Multiply 5/8 by x.
(5/8) * x + 5/16 = 100
3. Simplify the expression 5/8 * x to (5x)/8.
(5x)/8 + 5/16 = 100
4. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
(5x)/8 = 100 - 5/16
Simplifying the right side, we have:
(5x)/8 = 1600/16 - 5/16
(5x)/8 = 1595/16
5. To solve for x, we can multiply both sides of the equation by 8/5.
(8/5) * (5x)/8 = (8/5) * (1595/16)
Simplifying, we have:
x = (8 * 1595) / (5 * 16)
x = 12760/80
x = 159.5
Therefore, the solution to the equation 5/8 (x + 1/2) = 100 is x = 159.5.
Answered by
GPT 3.5
To solve the equation, we will follow these steps:
1. Distribute 0.7 to the terms inside the parentheses using the distributive property of multiplication.
0.7w + 0.7 * 1.2 = 2.1
2. Multiply 0.7 by 1.2.
0.7w + 0.84 = 2.1
3. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
0.7w = 2.1 - 0.84
0.7w = 1.26
4. To solve for w, we divide both sides of the equation by 0.7.
(0.7w)/0.7 = 1.26/0.7
Simplifying, we have:
w = 1.8
Therefore, the solution to the equation 0.7(w + 1.2) = 2.1 is w = 1.8.
1. Distribute 0.7 to the terms inside the parentheses using the distributive property of multiplication.
0.7w + 0.7 * 1.2 = 2.1
2. Multiply 0.7 by 1.2.
0.7w + 0.84 = 2.1
3. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
0.7w = 2.1 - 0.84
0.7w = 1.26
4. To solve for w, we divide both sides of the equation by 0.7.
(0.7w)/0.7 = 1.26/0.7
Simplifying, we have:
w = 1.8
Therefore, the solution to the equation 0.7(w + 1.2) = 2.1 is w = 1.8.
Answered by
GPT 3.5
To solve the equation, we will follow these steps:
1. Distribute -30 to the terms inside the parentheses using the distributive property of multiplication.
-30s + 300 = -180
2. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
-30s = -180 - 300
-30s = -480
3. To solve for s, we divide both sides of the equation by -30.
(-30s)/(-30) = (-480)/(-30)
Simplifying, we have:
s = 16
Therefore, the solution to the equation -30(s - 10) = -180 is s = 16.
1. Distribute -30 to the terms inside the parentheses using the distributive property of multiplication.
-30s + 300 = -180
2. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
-30s = -180 - 300
-30s = -480
3. To solve for s, we divide both sides of the equation by -30.
(-30s)/(-30) = (-480)/(-30)
Simplifying, we have:
s = 16
Therefore, the solution to the equation -30(s - 10) = -180 is s = 16.
Answered by
GPT 3.5
To solve the problem, we can follow these steps:
1. Let's assign a variable to the unknown number. Let's call it "x".
2. The sum of x and 10 is x + 10.
3. Half the sum of the number and 10 is (1/2)(x + 10).
4. We are told that this expression is equal to 8. So, we can set up an equation:
(1/2)(x + 10) = 8
5. To solve for x, we can first remove the fraction by multiplying both sides of the equation by 2:
2 * (1/2)(x + 10) = 2 * 8
x + 10 = 16
6. Next, let's isolate x by subtracting 10 from both sides of the equation:
x + 10 - 10 = 16 - 10
x = 6
Therefore, the number we are looking for is x = 6.
1. Let's assign a variable to the unknown number. Let's call it "x".
2. The sum of x and 10 is x + 10.
3. Half the sum of the number and 10 is (1/2)(x + 10).
4. We are told that this expression is equal to 8. So, we can set up an equation:
(1/2)(x + 10) = 8
5. To solve for x, we can first remove the fraction by multiplying both sides of the equation by 2:
2 * (1/2)(x + 10) = 2 * 8
x + 10 = 16
6. Next, let's isolate x by subtracting 10 from both sides of the equation:
x + 10 - 10 = 16 - 10
x = 6
Therefore, the number we are looking for is x = 6.
Answered by
GPT 3.5
Let's assume the original cost of a pack of cookies is c dollars.
Since there are 8 packs of cookies, and each pack is on sale for 50 cents off, the savings per pack would be 0.50 * 8 = 4 dollars.
The amount John spends is $20, which is the total cost after the discount.
The equation that can be used to find the original cost of a pack of cookies, c, is as follows:
8c - 4 = 20
In this equation, 8c represents the cost of 8 packs of cookies before the discount, and subtracting 4 dollars accounts for the discount. The equation is set equal to 20 since that is the total amount spent by John.
Since there are 8 packs of cookies, and each pack is on sale for 50 cents off, the savings per pack would be 0.50 * 8 = 4 dollars.
The amount John spends is $20, which is the total cost after the discount.
The equation that can be used to find the original cost of a pack of cookies, c, is as follows:
8c - 4 = 20
In this equation, 8c represents the cost of 8 packs of cookies before the discount, and subtracting 4 dollars accounts for the discount. The equation is set equal to 20 since that is the total amount spent by John.
Answered by
GPT 3.5
The correct equation is A. 8(c + 0.50) = 20.
In this equation, c represents the original cost of a pack of cookies. Since there are 8 packs, we multiply c by 8. Adding 0.50 represents the discount per pack. The equation is set equal to 20 since that is the total amount spent by John.
In this equation, c represents the original cost of a pack of cookies. Since there are 8 packs, we multiply c by 8. Adding 0.50 represents the discount per pack. The equation is set equal to 20 since that is the total amount spent by John.
Answered by
GPT 3.5
To solve the equation, we will follow these steps:
1. Distribute 4 to the terms inside the parentheses using the distributive property of multiplication.
12x - 8 = -24
2. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
12x = -24 + 8
12x = -16
3. To solve for x, we divide both sides of the equation by 12.
(12x)/12 = (-16)/12
Simplifying, we have:
x = -4/3
Therefore, the solution to the equation 4(3x - 2) = -24 is x = -4/3.
1. Distribute 4 to the terms inside the parentheses using the distributive property of multiplication.
12x - 8 = -24
2. Now, we want to isolate the variable on one side of the equation. Let's start by moving the constant term to the other side.
12x = -24 + 8
12x = -16
3. To solve for x, we divide both sides of the equation by 12.
(12x)/12 = (-16)/12
Simplifying, we have:
x = -4/3
Therefore, the solution to the equation 4(3x - 2) = -24 is x = -4/3.