Let x be the number of miles she biked last week.
112 = 2x - 20
132 = 2x
x = <<66=66>>66. Answer: \boxed{66}.
Clara wants to bike 112 miles this week. That is 20 miles less than 2 times the number of miles she biked last week. How many miles did she bike last week?(1 point)
23 answers
Three hundred students went on a field trip to the zoo. Six buses were filled and 12 students rode in cars. How many students were on each bus?(1 point) Responses
To find out how many students were on each bus, we need to subtract the students who rode in cars from the total number of students who went on the field trip.
Total number of students on the field trip = Number of students on buses + Number of students in cars
Let's represent the number of students on each bus as 'x'.
Number of students on buses = Number of buses * Number of students on each bus = 6x
Total number of students on the field trip = 6x + 12
Given that the total number of students on the field trip is 300, we can set up the equation:
6x + 12 = 300
Subtract 12 from both sides of the equation:
6x = 300 - 12
6x = 288
Divide both sides of the equation by 6 to solve for 'x':
x = 288/6
x = 48
Therefore, there were 48 students on each bus.
Total number of students on the field trip = Number of students on buses + Number of students in cars
Let's represent the number of students on each bus as 'x'.
Number of students on buses = Number of buses * Number of students on each bus = 6x
Total number of students on the field trip = 6x + 12
Given that the total number of students on the field trip is 300, we can set up the equation:
6x + 12 = 300
Subtract 12 from both sides of the equation:
6x = 300 - 12
6x = 288
Divide both sides of the equation by 6 to solve for 'x':
x = 288/6
x = 48
Therefore, there were 48 students on each bus.
What value for n makes this equation true? 13−2n=−109 (1 point)
To find the value of n that makes the equation true, we can solve for n by isolating the variable.
The equation is:
13 - 2n = -109
Let's start by subtracting 13 from both sides of the equation:
-2n = -109 - 13
-2n = -122
Next, divide both sides of the equation by -2:
n = -122 / -2
n = 61
Therefore, the value of n that makes the equation true is 61.
The equation is:
13 - 2n = -109
Let's start by subtracting 13 from both sides of the equation:
-2n = -109 - 13
-2n = -122
Next, divide both sides of the equation by -2:
n = -122 / -2
n = 61
Therefore, the value of n that makes the equation true is 61.
What value for n makes this equation true? 13−2n=−109 (1 point) Responses -61 -61 -48 -48 48 48 61 61
To find the value of "n" that makes the equation true, we can solve for "n" by isolating the variable.
The equation is:
13 - 2n = -109
To isolate "n," we begin by subtracting 13 from both sides of the equation:
-2n = -109 - 13
-2n = -122
Next, we'll divide both sides of the equation by -2 to solve for "n":
n = -122 / -2
n = 61
Therefore, the value of "n" that makes the equation true is 61.
The equation is:
13 - 2n = -109
To isolate "n," we begin by subtracting 13 from both sides of the equation:
-2n = -109 - 13
-2n = -122
Next, we'll divide both sides of the equation by -2 to solve for "n":
n = -122 / -2
n = 61
Therefore, the value of "n" that makes the equation true is 61.
Solve for c. 2/5c+5=95 (1 point)
To solve for c, we can begin by isolating the variable on one side of the equation.
2/5c + 5 = 95
First, let's subtract 5 from both sides to isolate the term with c:
2/5c = 95 - 5
2/5c = 90
Next, let's multiply both sides of the equation by 5/2 to eliminate the fraction:
(5/2)(2/5c) = (5/2)(90)
This simplifies to:
c = 225
Therefore, the value of c that solves the equation is 225.
2/5c + 5 = 95
First, let's subtract 5 from both sides to isolate the term with c:
2/5c = 95 - 5
2/5c = 90
Next, let's multiply both sides of the equation by 5/2 to eliminate the fraction:
(5/2)(2/5c) = (5/2)(90)
This simplifies to:
c = 225
Therefore, the value of c that solves the equation is 225.
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 90 10 126
Let's solve the problem step by step:
Let's represent the number of seashells Lucy has as "x."
According to the problem, Daisy has 6 more than three times as many seashells as Lucy. We can write this as an equation:
3x + 6 = 36
Subtracting 6 from both sides of the equation:
3x = 36 - 6
3x = 30
Dividing both sides of the equation by 3:
x = 30 / 3
x = 10
Therefore, Lucy has 10 seashells. The correct answer is 10.
Let's represent the number of seashells Lucy has as "x."
According to the problem, Daisy has 6 more than three times as many seashells as Lucy. We can write this as an equation:
3x + 6 = 36
Subtracting 6 from both sides of the equation:
3x = 36 - 6
3x = 30
Dividing both sides of the equation by 3:
x = 30 / 3
x = 10
Therefore, Lucy has 10 seashells. The correct answer is 10.
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)
To find out how much each additional hour of parking costs, we need to subtract the base rate for the first 2 hours from the total amount Jillian spent to park.
Jillian spent $31 to park for 6 hours.
The base rate for the first 2 hours is $3.
Let's calculate the amount Jillian spent for the additional 4 hours she parked:
Amount spent for additional 4 hours = Total amount spent - Base rate for first 2 hours
= $31 - $3
= $28
Jillian spent $28 for the additional 4 hours of parking.
To find out how much each additional hour of parking costs, we can divide the amount spent for the additional hours by the number of additional hours:
Cost per additional hour = Amount spent for additional hours / Number of additional hours
= $28 / 4
= $7
Therefore, each additional hour of parking costs $7.
Jillian spent $31 to park for 6 hours.
The base rate for the first 2 hours is $3.
Let's calculate the amount Jillian spent for the additional 4 hours she parked:
Amount spent for additional 4 hours = Total amount spent - Base rate for first 2 hours
= $31 - $3
= $28
Jillian spent $28 for the additional 4 hours of parking.
To find out how much each additional hour of parking costs, we can divide the amount spent for the additional hours by the number of additional hours:
Cost per additional hour = Amount spent for additional hours / Number of additional hours
= $28 / 4
= $7
Therefore, each additional hour of parking costs $7.
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.
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.
The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point) Responses 6 −2/3 -6 52
Let's solve the equation step by step:
The sum of 8 and a number divided by 3 equals 6 can be written as:
(8 + x) / 3 = 6
To find the value of the number represented by "x", we can start by multiplying both sides of the equation by 3 to eliminate the fraction:
3 * (8 + x) / 3 = 6 * 3
This simplifies to:
8 + x = 18
Next, subtract 8 from both sides of the equation to isolate the variable:
8 + x - 8 = 18 - 8
This simplifies to:
x = 10
Therefore, the number represented by "x" is 10.
The sum of 8 and a number divided by 3 equals 6 can be written as:
(8 + x) / 3 = 6
To find the value of the number represented by "x", we can start by multiplying both sides of the equation by 3 to eliminate the fraction:
3 * (8 + x) / 3 = 6 * 3
This simplifies to:
8 + x = 18
Next, subtract 8 from both sides of the equation to isolate the variable:
8 + x - 8 = 18 - 8
This simplifies to:
x = 10
Therefore, the number represented by "x" is 10.
The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point) Responses
A 6
B −2/3
C -6
D 52
A 6
B −2/3
C -6
D 52
Let x be the number we are trying to find.
The sum of 8 and the number divided by 3 is equal to 6 can be written as:
(8 + x)/3 = 6
To solve for x, we can start by multiplying both sides of the equation by 3:
(8 + x)/3 * 3 = 6 * 3
Simplifying:
8 + x = 18
Next, we subtract 8 from both sides of the equation to isolate x:
8 + x - 8 = 18 - 8
Simplifying further:
x = 10
Therefore, the number is equal to 10.
The sum of 8 and the number divided by 3 is equal to 6 can be written as:
(8 + x)/3 = 6
To solve for x, we can start by multiplying both sides of the equation by 3:
(8 + x)/3 * 3 = 6 * 3
Simplifying:
8 + x = 18
Next, we subtract 8 from both sides of the equation to isolate x:
8 + x - 8 = 18 - 8
Simplifying further:
x = 10
Therefore, the number is equal to 10.
Solve for x. 5x−5=50 (1 point)
We can solve for x by isolating the variable.
Given the equation:
5x - 5 = 50
To isolate x, we will add 5 to both sides of the equation:
5x - 5 + 5 = 50 + 5
Simplifying:
5x = 55
Next, we can solve for x by dividing both sides of the equation by 5:
5x/5 = 55/5
Simplifying further:
x = 11
Therefore, x equals 11.
Given the equation:
5x - 5 = 50
To isolate x, we will add 5 to both sides of the equation:
5x - 5 + 5 = 50 + 5
Simplifying:
5x = 55
Next, we can solve for x by dividing both sides of the equation by 5:
5x/5 = 55/5
Simplifying further:
x = 11
Therefore, x equals 11.
What is the value of x when −3x+9=−19? (1 point)
To find the value of x when -3x + 9 = -19, we will solve for x by isolating the variable.
Given the equation:
-3x + 9 = -19
To isolate x, we will subtract 9 from both sides of the equation:
-3x + 9 - 9 = -19 - 9
Simplifying:
-3x = -28
Next, we divide both sides of the equation by -3:
-3x / -3 = -28 / -3
Simplifying further:
x = 28/3 or 9.33
Therefore, the value of x is 28/3 or approximately 9.33.
Given the equation:
-3x + 9 = -19
To isolate x, we will subtract 9 from both sides of the equation:
-3x + 9 - 9 = -19 - 9
Simplifying:
-3x = -28
Next, we divide both sides of the equation by -3:
-3x / -3 = -28 / -3
Simplifying further:
x = 28/3 or 9.33
Therefore, the value of x is 28/3 or approximately 9.33.