To use substitution, we can substitute each number from the given set into the equation and see if it makes the equation true.
Let's substitute the number 6 into the equation:
63 ÷ 6 = 10.5
This is not equal to 9, so 6 is not the correct number.
Now let's try substituting the number 7 into the equation:
63 ÷ 7 = 9
This is equal to 9, so 7 is the correct number.
Therefore, the number from the set {6,7,8,9} that makes the equation 63 ÷ x = 9 true is 7.
Use substitution to determine which number from the set {6,7,8, 9} makes the equation 63 ÷ x = 9 true. [Standard PAR.7.1](1 point)
Responses
6
6
7
7
8
8
9
AAAAAA!!!!!!!!
11 answers
Solve the equation 658 = x - 274(1 point)
x=
x=
To solve the equation 658 = x - 274, we need to isolate the variable x.
First, we can add 274 to both sides of the equation to eliminate the -274 on the right side:
658 + 274 = x - 274 + 274
This simplifies to:
932 = x
Therefore, the solution to the equation is x = 932.
First, we can add 274 to both sides of the equation to eliminate the -274 on the right side:
658 + 274 = x - 274 + 274
This simplifies to:
932 = x
Therefore, the solution to the equation is x = 932.
Oliver feeds his dog a total of 3/4 cup of food every day. In the morning, he gives his dog 1/3 cup of food. Solve an equation to find how much food Oliver gives to his dog the rest of the day. (1 point)
Responses
2/1 cups
2/1 cups
5/12 cup
5/12 cup
3/12 cup
3/12 cup
13/12 or 1 1/12 cup
Responses
2/1 cups
2/1 cups
5/12 cup
5/12 cup
3/12 cup
3/12 cup
13/12 or 1 1/12 cup
To find how much food Oliver gives to his dog the rest of the day, we need to subtract the amount of food he gives in the morning from the total amount of food he gives in a day.
Let x represent the amount of food Oliver gives to his dog for the rest of the day.
According to the problem, Oliver feeds his dog a total of 3/4 cup of food every day. In the morning, he gives his dog 1/3 cup of food. So the equation can be set up as:
1/3 + x = 3/4
To solve for x, we can subtract 1/3 from both sides of the equation:
x = 3/4 - 1/3
To combine the fractions with different denominators, we need to find a common denominator. The common denominator of 4 and 3 is 12, so we can rewrite the equation as:
x = (3/4)(3/3) - (1/3)(4/4)
x = 9/12 - 4/12
Combining the fractions, we have:
x = 5/12
Therefore, Oliver gives his dog 5/12 cup of food for the rest of the day.
Let x represent the amount of food Oliver gives to his dog for the rest of the day.
According to the problem, Oliver feeds his dog a total of 3/4 cup of food every day. In the morning, he gives his dog 1/3 cup of food. So the equation can be set up as:
1/3 + x = 3/4
To solve for x, we can subtract 1/3 from both sides of the equation:
x = 3/4 - 1/3
To combine the fractions with different denominators, we need to find a common denominator. The common denominator of 4 and 3 is 12, so we can rewrite the equation as:
x = (3/4)(3/3) - (1/3)(4/4)
x = 9/12 - 4/12
Combining the fractions, we have:
x = 5/12
Therefore, Oliver gives his dog 5/12 cup of food for the rest of the day.
Solve for w: 3w = 129(1 point)
w =
w =
To solve the equation 3w = 129, we need to isolate the variable w.
Divide both sides of the equation by 3:
(3w) / 3 = 129 / 3
This simplifies to:
w = 43
Therefore, the solution to the equation is w = 43.
Divide both sides of the equation by 3:
(3w) / 3 = 129 / 3
This simplifies to:
w = 43
Therefore, the solution to the equation is w = 43.
Emma and two of her friends decided to have lunch together at a cafe. The bill for their meal was $36. How much does each person have to pay towards the bill?(1 point)
Each friend will pay $
Each friend will pay $
To find out how much each person has to pay towards the bill, we need to divide the total bill by the number of people.
Since Emma and two of her friends are sharing the bill, there are three people in total.
Divide the total bill of $36 by 3:
$36 / 3 = $12
Therefore, each friend will have to pay $12 towards the bill.
Since Emma and two of her friends are sharing the bill, there are three people in total.
Divide the total bill of $36 by 3:
$36 / 3 = $12
Therefore, each friend will have to pay $12 towards the bill.
Solve for x: 5/8x = 65(1 point)
x=
x=
To solve the equation (5/8)x = 65, we need to isolate the variable x.
Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 8/5:
(8/5)(5/8)x = (8/5)(65)
Simplifying, we have:
x = (8/5)(65)
To multiply fractions, we multiply the numerators together and the denominators together, so:
x = (8 * 65) / 5
Calculating the numerator, we get:
x = 520 / 5
Simplifying further, we have:
x = 104
Therefore, the solution to the equation is x = 104.
Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 8/5:
(8/5)(5/8)x = (8/5)(65)
Simplifying, we have:
x = (8/5)(65)
To multiply fractions, we multiply the numerators together and the denominators together, so:
x = (8 * 65) / 5
Calculating the numerator, we get:
x = 520 / 5
Simplifying further, we have:
x = 104
Therefore, the solution to the equation is x = 104.