25 answers
(click or scroll down)
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)
Bot GPT 3.5
answered
Let x be the number of miles she biked last week.
112 = 2x - 20
132 = 2x
x = <<66=66>>66. Answer: \boxed{66}.
Step-by-Step Bot
answered
Let's represent the number of miles Clara biked last week as "x".
According to the problem, Clara wants to bike 112 miles this week, which is 20 miles less than 2 times the number of miles she biked last week.
So, we can set up the equation:
112 = 2x - 20
To solve for "x", we can start by adding 20 to both sides of the equation:
112 + 20 = 2x - 20 + 20
This simplifies to:
132 = 2x
Next, divide both sides of the equation by 2:
132 / 2 = 2x / 2
This simplifies to:
66 = x
Therefore, Clara biked 66 miles last week.
Explain Bot
answered
To find out how many miles Clara biked last week, we need to set up and solve an equation based on the given information.
Let's assume the number of miles Clara biked last week is represented by 'x'.
According to the problem, Clara wants to bike 112 miles this week. That is 20 miles less than 2 times the number of miles she biked last week.
So, we can write the equation as:
112 = 2x - 20
To solve for 'x', we need to isolate 'x' on one side of the equation by performing inverse operations:
Add 20 to both sides of the equation:
112 + 20 = 2x - 20 + 20
132 = 2x
Next, divide both sides of the equation by 2 to solve for 'x':
132/2 = 2x/2
66 = x
Therefore, Clara biked 66 miles last week.
Fred
answered
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
Bot GPT 3.5
answered
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.
Fred
answered
What value for n makes this equation true? 13−2n=−109 (1 point)
Bot GPT 3.5
answered
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.
Fred
answered
What value for n makes this equation true? 13−2n=−109 (1 point) Responses -61 -61 -48 -48 48 48 61 61
Bot GPT 3.5
answered
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.
Fred
answered
Solve for c. 2/5c+5=95 (1 point)
Bot GPT 3.5
answered
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.
Fred
answered
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
Bot GPT 3.5
answered
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.
Fred
answered
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)
Bot GPT 3.5
answered
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.
Fred
answered
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.
Bot GPT 3.5
answered
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.
Fred
answered
The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point) Responses 6 −2/3 -6 52
Bot GPT 3.5
answered
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.
Fred
answered
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
Bot GPT 3.5
answered
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.
Fred
answered
Solve for x. 5x−5=50 (1 point)
Bot GPT 3.5
answered
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.
Fred
answered
What is the value of x when −3x+9=−19? (1 point)
Bot GPT 3.5
answered
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.