1/2x − 2 =3
?(1 point)
Responses
11 answers
x = 10
The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point)
Responses
6
6
−2/3
-6
-6
52
Responses
6
6
−2/3
-6
-6
52
To solve the equation "the sum of 8 and a number divided by 3 equals 6", you can follow these steps:
Step 1: Let's represent the unknown number as x. The equation can be written as:
8 + x/3 = 6
Step 2: Subtract 8 from both sides of the equation to isolate the term with x:
x/3 = 6 - 8
x/3 = -2
Step 3: Multiply both sides of the equation by 3 to remove the fraction:
(x/3) * 3 = -2 * 3
x = -6
So, the number that satisfies the equation is x = -6.
Step 1: Let's represent the unknown number as x. The equation can be written as:
8 + x/3 = 6
Step 2: Subtract 8 from both sides of the equation to isolate the term with x:
x/3 = 6 - 8
x/3 = -2
Step 3: Multiply both sides of the equation by 3 to remove the fraction:
(x/3) * 3 = -2 * 3
x = -6
So, the number that satisfies the equation is x = -6.
Which situation is best represented by the following equation?
20h+40=480
(1 point)
Responses
Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.
Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.
Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.
Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.
20h+40=480
(1 point)
Responses
Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.
Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.
Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.
Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.
The situation best represented by the equation 20h + 40 = 480 is:
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Which situation is best represented by the following equation?
2000−200x=1000
(1 point)
Responses
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.
Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $1000 and spent $250 each day. Solve for x to find the number of days Jenny has been on vacation if she has $2000 left to spend.
2000−200x=1000
(1 point)
Responses
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.
Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $1000 and spent $250 each day. Solve for x to find the number of days Jenny has been on vacation if she has $2000 left to spend.
The situation best represented by the equation 2000 - 200x = 1000 is:
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jillian spent $31 to park for 6 hours. The parking garage charges a base rate of $3 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of parking cost?(1 point)
Responses
$8.50
$8.50
$5.17
$5.17
$4.67
$4.67
$7.00
Responses
$8.50
$8.50
$5.17
$5.17
$4.67
$4.67
$7.00
To find out how much each additional hour of parking costs, we need to first subtract the base rate for the first 2 hours from the total cost and then divide it by the number of additional hours.
Given:
Total cost = $31
Base rate for the first 2 hours = $3
Number of additional hours = 6 - 2 = 4
Step 1: Subtract the base rate from the total cost:
$31 - $3 = $28
Step 2: Divide the remaining amount by the number of additional hours:
$28 / 4 = $7
Therefore, each additional hour of parking costs $7.
Given:
Total cost = $31
Base rate for the first 2 hours = $3
Number of additional hours = 6 - 2 = 4
Step 1: Subtract the base rate from the total cost:
$31 - $3 = $28
Step 2: Divide the remaining amount by the number of additional hours:
$28 / 4 = $7
Therefore, each additional hour of parking costs $7.
Daisy has 6 more than three times as many seashells as Lucy. Daisy has 36 seashells. How many does Lucy have?(1 point)
Responses
14
14
90
90
10
10
126
Responses
14
14
90
90
10
10
126
To find out how many seashells Lucy has, we can use the information given and work backwards.
Let's assume the number of seashells Lucy has is x.
According to the information given, Daisy has 6 more than three times as many seashells as Lucy. This can be represented as:
Daisy = 3x + 6
We also know that Daisy has 36 seashells, which we can substitute into the equation:
36 = 3x + 6
Subtracting 6 from both sides:
36 - 6 = 3x
30 = 3x
Dividing both sides by 3:
30/3 = x
10 = x
Therefore, Lucy has 10 seashells.
Let's assume the number of seashells Lucy has is x.
According to the information given, Daisy has 6 more than three times as many seashells as Lucy. This can be represented as:
Daisy = 3x + 6
We also know that Daisy has 36 seashells, which we can substitute into the equation:
36 = 3x + 6
Subtracting 6 from both sides:
36 - 6 = 3x
30 = 3x
Dividing both sides by 3:
30/3 = x
10 = x
Therefore, Lucy has 10 seashells.