Question
Four times the difference of a number and 7 is 12. What is the number?(1 point)
Answers
Answered by
GPT 3.5
Let's call the number "x".
The difference of a number and 7 is x - 7.
Four times the difference of a number and 7 is 4(x - 7).
We are told that this expression is equal to 12, so we can set up the equation:
4(x - 7) = 12
Now, let's solve for x:
4x - 28 = 12
Adding 28 to both sides:
4x = 40
Dividing both sides by 4:
x = 10
Therefore, the number is 10.
The difference of a number and 7 is x - 7.
Four times the difference of a number and 7 is 4(x - 7).
We are told that this expression is equal to 12, so we can set up the equation:
4(x - 7) = 12
Now, let's solve for x:
4x - 28 = 12
Adding 28 to both sides:
4x = 40
Dividing both sides by 4:
x = 10
Therefore, the number is 10.
Answer
Solve for x.
−7x+40=−37
−7x+40=−37
Answered by
GPT 3.5
To solve the equation −7x + 40 = −37, let's isolate x on one side:
We'll start by subtracting 40 from both sides of the equation:
−7x + 40 - 40 = −37 - 40
This simplifies to:
−7x = −77
Next, we'll divide both sides of the equation by -7 to solve for x:
−7x / -7 = −77 / -7
This gives us:
x = 11
Therefore, x = 11 is the solution to the equation −7x + 40 = −37.
We'll start by subtracting 40 from both sides of the equation:
−7x + 40 - 40 = −37 - 40
This simplifies to:
−7x = −77
Next, we'll divide both sides of the equation by -7 to solve for x:
−7x / -7 = −77 / -7
This gives us:
x = 11
Therefore, x = 11 is the solution to the equation −7x + 40 = −37.
Answer
Solve for m.
m8−4=−12
m8−4=−12
Answered by
GPT 3.5
To solve the equation m/8 - 4 = -12, let's isolate m on one side:
First, we'll add 4 to both sides of the equation to eliminate the -4:
m/8 - 4 + 4 = -12 + 4
This simplifies to:
m/8 = -8
Next, we'll multiply both sides of the equation by 8 to solve for m:
8 * (m/8) = -8 * 8
This gives us:
m = -64
Therefore, m = -64 is the solution to the equation m/8 - 4 = -12.
First, we'll add 4 to both sides of the equation to eliminate the -4:
m/8 - 4 + 4 = -12 + 4
This simplifies to:
m/8 = -8
Next, we'll multiply both sides of the equation by 8 to solve for m:
8 * (m/8) = -8 * 8
This gives us:
m = -64
Therefore, m = -64 is the solution to the equation m/8 - 4 = -12.
Answer
Question
Solve for x.
25(10x+15)=26
Solve for x.
25(10x+15)=26
Answered by
GPT 3.5
To solve for x in the equation 25(10x+15) = 26, we can start by distributing the 25 to the terms within the parentheses:
25 * 10x + 25 * 15 = 26
This simplifies to:
250x + 375 = 26
Next, we subtract 375 from both sides of the equation to isolate the term with x:
250x + 375 - 375 = 26 - 375
This gives us:
250x = -349
Finally, we divide both sides of the equation by 250 to solve for x:
250x / 250 = -349 / 250
This results in:
x = -1.396
Therefore, the solution to the equation 25(10x+15) = 26 is x = -1.396.
25 * 10x + 25 * 15 = 26
This simplifies to:
250x + 375 = 26
Next, we subtract 375 from both sides of the equation to isolate the term with x:
250x + 375 - 375 = 26 - 375
This gives us:
250x = -349
Finally, we divide both sides of the equation by 250 to solve for x:
250x / 250 = -349 / 250
This results in:
x = -1.396
Therefore, the solution to the equation 25(10x+15) = 26 is x = -1.396.
Answer
Denny bought tickets to the circus. He bought 3 child tickets. The child tickets were $5 less than the adult tickets. He spent $45 total. Which equation can be used to find the price of an adult ticket, t?(1 point)
Answered by
GPT 3.5
Let's assume the price of an adult ticket is t.
Given that Denny bought 3 child tickets, the cost of those child tickets would be 3 times the price reduction of $5 from the adult ticket price. So the total cost of the child tickets would be 3(t - $5).
The total amount Denny spent on tickets is given as $45.
Therefore, the equation that can be used to find the price of an adult ticket, t, would be:
3(t - $5) + t = $45
This equation represents the total cost of the child tickets plus the cost of one adult ticket being equal to $45.
Given that Denny bought 3 child tickets, the cost of those child tickets would be 3 times the price reduction of $5 from the adult ticket price. So the total cost of the child tickets would be 3(t - $5).
The total amount Denny spent on tickets is given as $45.
Therefore, the equation that can be used to find the price of an adult ticket, t, would be:
3(t - $5) + t = $45
This equation represents the total cost of the child tickets plus the cost of one adult ticket being equal to $45.
Answer
Solve for x.
50(4x+12)=−200
50(4x+12)=−200
Answered by
GPT 3.5
To solve the equation 50(4x+12) = -200, we can start by distributing the 50 to the terms within the parentheses:
50 * 4x + 50 * 12 = -200
This simplifies to:
200x + 600 = -200
Next, we'll subtract 600 from both sides of the equation to isolate the term with x:
200x + 600 - 600 = -200 - 600
This gives us:
200x = -800
Finally, we divide both sides of the equation by 200 to solve for x:
200x / 200 = -800 / 200
This results in:
x = -4
Therefore, the solution to the equation 50(4x+12) = -200 is x = -4.
50 * 4x + 50 * 12 = -200
This simplifies to:
200x + 600 = -200
Next, we'll subtract 600 from both sides of the equation to isolate the term with x:
200x + 600 - 600 = -200 - 600
This gives us:
200x = -800
Finally, we divide both sides of the equation by 200 to solve for x:
200x / 200 = -800 / 200
This results in:
x = -4
Therefore, the solution to the equation 50(4x+12) = -200 is x = -4.
Answer
Solve for x.
1.5−x=−4.5
1.5−x=−4.5
Answered by
GPT 3.5
To solve the equation 1.5 - x = -4.5, let's isolate x on one side:
We'll start by subtracting 1.5 from both sides of the equation:
1.5 - x - 1.5 = -4.5 - 1.5
This simplifies to:
-x = -6
Next, we'll multiply both sides of the equation by -1 to solve for x:
(-1)(-x) = (-1)(-6)
This gives us:
x = 6
Therefore, x = 6 is the solution to the equation 1.5 - x = -4.5.
We'll start by subtracting 1.5 from both sides of the equation:
1.5 - x - 1.5 = -4.5 - 1.5
This simplifies to:
-x = -6
Next, we'll multiply both sides of the equation by -1 to solve for x:
(-1)(-x) = (-1)(-6)
This gives us:
x = 6
Therefore, x = 6 is the solution to the equation 1.5 - x = -4.5.
Answer
Solve for y.
6y−9y+6=−12
6y−9y+6=−12
Answered by
GPT 3.5
To solve the equation 6y - 9y + 6 = -12, let's combine like terms on the left side:
6y - 9y + 6 = -12
(-3y + 6) = -12
Next, we'll subtract 6 from both sides of the equation:
-3y + 6 - 6 = -12 - 6
This simplifies to:
-3y = -18
Next, we'll divide both sides of the equation by -3 to solve for y:
(-3y) / -3 = (-18) / -3
This gives us:
y = 6
Therefore, y = 6 is the solution to the equation 6y - 9y + 6 = -12.
6y - 9y + 6 = -12
(-3y + 6) = -12
Next, we'll subtract 6 from both sides of the equation:
-3y + 6 - 6 = -12 - 6
This simplifies to:
-3y = -18
Next, we'll divide both sides of the equation by -3 to solve for y:
(-3y) / -3 = (-18) / -3
This gives us:
y = 6
Therefore, y = 6 is the solution to the equation 6y - 9y + 6 = -12.
Answer
Solve for w.
15w+3w+19=−17
15w+3w+19=−17
Answered by
GPT 3.5
To solve the equation 15w + 3w + 19 = -17, we can combine like terms on the left side:
15w + 3w + 19 = -17
(18w + 19) = -17
Next, we'll subtract 19 from both sides of the equation:
18w + 19 - 19 = -17 - 19
This simplifies to:
18w = -36
Next, we'll divide both sides of the equation by 18 to solve for w:
(18w) / 18 = (-36) / 18
This gives us:
w = -2
Therefore, w = -2 is the solution to the equation 15w + 3w + 19 = -17.
15w + 3w + 19 = -17
(18w + 19) = -17
Next, we'll subtract 19 from both sides of the equation:
18w + 19 - 19 = -17 - 19
This simplifies to:
18w = -36
Next, we'll divide both sides of the equation by 18 to solve for w:
(18w) / 18 = (-36) / 18
This gives us:
w = -2
Therefore, w = -2 is the solution to the equation 15w + 3w + 19 = -17.
Answer
Simplify the expression.
(6x−10)−(2x+12)
(6x−10)−(2x+12)
Answered by
GPT 3.5
To simplify the expression (6x - 10) - (2x + 12), we can distribute the negative sign to each term inside the parentheses:
(6x - 10) - (2x + 12) = 6x - 10 - 2x - 12
Next, we can combine like terms:
6x - 2x - 10 - 12
Simplifying further:
4x - 22
Therefore, the simplified expression for (6x - 10) - (2x + 12) is 4x - 22.
(6x - 10) - (2x + 12) = 6x - 10 - 2x - 12
Next, we can combine like terms:
6x - 2x - 10 - 12
Simplifying further:
4x - 22
Therefore, the simplified expression for (6x - 10) - (2x + 12) is 4x - 22.
Answer
Jenny bought 6 cookies and 6 cupcakes at the bakery. The cookies were $1.50 each, but she cannot remember how much each cupcake was. She paid $21 total. How much was each cupcake?(1 point)
Responses
Responses
Answered by
GPT 3.5
Let's assume the price of each cupcake is c dollars.
The total cost of the cookies would be 6 * $1.50 = $9.
Now, we can set up the equation based on the total cost:
$9 + 6c = $21
Next, we subtract $9 from both sides to isolate 6c:
6c = $21 - $9
Simplifying, we have:
6c = $12
Finally, we divide both sides of the equation by 6 to solve for c:
c = $12 / 6
c = $2
Therefore, each cupcake costs $2.
The total cost of the cookies would be 6 * $1.50 = $9.
Now, we can set up the equation based on the total cost:
$9 + 6c = $21
Next, we subtract $9 from both sides to isolate 6c:
6c = $21 - $9
Simplifying, we have:
6c = $12
Finally, we divide both sides of the equation by 6 to solve for c:
c = $12 / 6
c = $2
Therefore, each cupcake costs $2.
Answer
Half the sum of a number and 26 is 15. What is the number?(1 point)
Answered by
GPT 3.5
Let's call the number "x".
The sum of a number and 26 is x + 26.
Half the sum of a number and 26 is (1/2)(x + 26).
We are told that this expression is equal to 15, so we can set up the equation:
(1/2)(x + 26) = 15
Now, let's solve for x:
Multiply both sides of the equation by 2 to remove the fraction:
2 * (1/2)(x + 26) = 2 * 15
This gives us:
x + 26 = 30
Subtract 26 from both sides of the equation:
x + 26 - 26 = 30 - 26
This simplifies to:
x = 4
Therefore, the number is 4.
The sum of a number and 26 is x + 26.
Half the sum of a number and 26 is (1/2)(x + 26).
We are told that this expression is equal to 15, so we can set up the equation:
(1/2)(x + 26) = 15
Now, let's solve for x:
Multiply both sides of the equation by 2 to remove the fraction:
2 * (1/2)(x + 26) = 2 * 15
This gives us:
x + 26 = 30
Subtract 26 from both sides of the equation:
x + 26 - 26 = 30 - 26
This simplifies to:
x = 4
Therefore, the number is 4.
Answer
Four times the difference of a number and 7 is 12. What is the number?
Answered by
GPT 3.5
Let's call the number "x".
The difference of a number and 7 is x - 7.
Four times the difference of a number and 7 is 4(x - 7).
We are told that this expression is equal to 12, so we can set up the equation:
4(x - 7) = 12
Now, let's solve for x:
Distribute 4 to x and -7:
4x - 28 = 12
Add 28 to both sides of the equation:
4x - 28 + 28 = 12 + 28
Simplify:
4x = 40
Divide both sides of the equation by 4:
4x/4 = 40/4
Simplify:
x = 10
Therefore, the number is 10.
The difference of a number and 7 is x - 7.
Four times the difference of a number and 7 is 4(x - 7).
We are told that this expression is equal to 12, so we can set up the equation:
4(x - 7) = 12
Now, let's solve for x:
Distribute 4 to x and -7:
4x - 28 = 12
Add 28 to both sides of the equation:
4x - 28 + 28 = 12 + 28
Simplify:
4x = 40
Divide both sides of the equation by 4:
4x/4 = 40/4
Simplify:
x = 10
Therefore, the number is 10.
Answer
What is the first step in solving the equation
3=6y+9
3=6y+9
Answered by
GPT 3.5
The first step in solving the equation 3 = 6y + 9 is to isolate the variable "y" on one side of the equation.
To do this, we'll start by subtracting 9 from both sides of the equation:
3 - 9 = 6y + 9 - 9
This simplifies to:
-6 = 6y
Now, to further isolate y, we need to divide both sides of the equation by 6:
-6 / 6 = (6y) / 6
This gives us:
-1 = y
Therefore, the solution to the equation 3 = 6y + 9 is y = -1.
To do this, we'll start by subtracting 9 from both sides of the equation:
3 - 9 = 6y + 9 - 9
This simplifies to:
-6 = 6y
Now, to further isolate y, we need to divide both sides of the equation by 6:
-6 / 6 = (6y) / 6
This gives us:
-1 = y
Therefore, the solution to the equation 3 = 6y + 9 is y = -1.
Answer
Simplify the expression.
2(3x+4)−3(2x−2)+8(x−5)
2(3x+4)−3(2x−2)+8(x−5)
Answered by
GPT 3.5
To simplify the expression 2(3x+4)−3(2x−2)+8(x−5), let's distribute and combine like terms:
First, we distribute 2 to (3x + 4), 3 to (2x - 2), and 8 to (x - 5):
2 * 3x + 2 * 4 - 3 * 2x + 3 * 2 + 8 * x - 8 * 5
This simplifies to:
6x + 8 - 6x + 6 + 8x - 40
Next, let's combine like terms:
(6x - 6x + 8x) + (8 + 6 - 40)
Simplifying further:
8x - 26
Therefore, the simplified expression for 2(3x+4)−3(2x−2)+8(x−5) is 8x - 26.
First, we distribute 2 to (3x + 4), 3 to (2x - 2), and 8 to (x - 5):
2 * 3x + 2 * 4 - 3 * 2x + 3 * 2 + 8 * x - 8 * 5
This simplifies to:
6x + 8 - 6x + 6 + 8x - 40
Next, let's combine like terms:
(6x - 6x + 8x) + (8 + 6 - 40)
Simplifying further:
8x - 26
Therefore, the simplified expression for 2(3x+4)−3(2x−2)+8(x−5) is 8x - 26.
Answer
Write an equation and solve: Four times a number, decreased by 4 is 8.
Answered by
GPT 3.5
Let's call the number "x".
Four times the number can be written as 4x.
We are told that this result, when decreased by 4, is equal to 8. We can set up the equation as follows:
4x - 4 = 8
To solve for x, we'll isolate the x term by adding 4 to both sides:
4x - 4 + 4 = 8 + 4
This simplifies to:
4x = 12
Next, we'll divide both sides of the equation by 4 to solve for x:
4x / 4 = 12 / 4
This gives us:
x = 3
Therefore, the number is 3.
Four times the number can be written as 4x.
We are told that this result, when decreased by 4, is equal to 8. We can set up the equation as follows:
4x - 4 = 8
To solve for x, we'll isolate the x term by adding 4 to both sides:
4x - 4 + 4 = 8 + 4
This simplifies to:
4x = 12
Next, we'll divide both sides of the equation by 4 to solve for x:
4x / 4 = 12 / 4
This gives us:
x = 3
Therefore, the number is 3.
Answered by
Blurryface
umm.. bot what are the answers in order?
Answered by
GPT 3.5
The solution to the equation "Four times a number, decreased by 4 is 8" is x = 3.