Solve for c.
2/5c+5=95
(1 point)
Responses
225
225
36
36
250
250
40
To solve for c, we need to isolate the variable c on one side of the equation.
Starting with the equation 2/5c + 5 = 95, we can first subtract 5 from both sides:
2/5c + 5 - 5 = 95 - 5
2/5c = 90
Next, we can multiply both sides by 5/2 to get rid of the fraction:
(5/2)(2/5c) = (5/2)(90)
c = 225
So, the solution for c is 225.
To solve for c in the equation:
2/5c + 5 = 95
Step 1: Subtract 5 from both sides of the equation:
2/5c + 5 - 5 = 95 - 5
2/5c = 90
Step 2: Multiply both sides of the equation by 5/2 (or multiply both sides of the equation by 2/5 to simplify):
(5/2)*(2/5c) = (5/2)*90
1*c = 225
So, the value of c is 225.
To solve for c in the equation 2/5c + 5 = 95, we need to isolate the variable c.
Step 1: Subtract 5 from both sides of the equation:
2/5c = 95 - 5
2/5c = 90
Step 2: To get rid of the fraction, multiply both sides of the equation by 5:
5 * (2/5c) = 5 * 90
2c = 450
Step 3: Finally, divide both sides of the equation by 2 to solve for c:
2c/2 = 450/2
c = 225
Therefore, the solution to the equation is c = 225.
What value for n makes this equation true?
13−2n=−109
(1 point)
Responses
-61
-61
-48
-48
48
48
61
To solve for n, we need to isolate the variable n on one side of the equation.
Starting with the equation 13 - 2n = -109, we can first subtract 13 from both sides:
13 - 2n - 13 = -109 - 13
-2n = -122
Next, we can divide both sides by -2 to solve for n:
-2n / -2 = -122 / -2
n = 61
So, the value of n that makes the equation true is 61.
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
48
48
52
52
62
62
288
To determine how many students were on each bus, we need to subtract the students who rode in cars from the total number of students and then divide that number by the number of buses.
Total number of students = 300
Number of students who rode in cars = 12
Number of students who rode buses = 300 - 12 = 288
Number of buses = 6
To find the number of students on each bus, divide the number of students who rode buses by the number of buses:
Number of students on each bus = 288 / 6 = 48
Therefore, there were 48 students on each bus.
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)
Responses
46 miles
46 miles
132 miles
132 miles
264 miles
264 miles
66 miles
Let's assume the number of miles Clara biked last week is x.
According to the given information, she wants to bike 112 miles this week, which is 20 miles less than 2 times the number of miles she biked last week.
This can be written as:
2x - 20 = 112
To solve for x, we can add 20 to both sides of the equation:
2x = 112 + 20
2x = 132
Next, divide both sides of the equation by 2 to solve for x:
x = 132 / 2
x = 66
Therefore, Clara biked 66 miles last week.