Solve for c.

2/5c+5=95
(1 point)
Responses

225
225

36
36

250
250

40

7 answers

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.
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.