Daisy has 6 more than three times as many seashells as Lucy. Daisy has 36 seashells. How many does Lucy have?(1 point)

Question

Responses.

14
14

90
90

10
10

126

Answer 1

Let \( L \) represent the number of seashells Lucy has. According to the problem, Daisy has 6 more than three times the number of seashells Lucy has:

\[ D = 3L + 6 \]

We know that Daisy has 36 seashells:

\[ 36 = 3L + 6 \]

Now, we can solve for \( L \):

1. Subtract 6 from both sides:

\[ 36 - 6 = 3L \] \[ 30 = 3L \]

2. Divide both sides by 3:

\[ L = \frac{30}{3} = 10 \]

So, Lucy has 10 seashells.

The correct response is 10.

Answer 2

Solve for c.

2/5c+5=95


(1 point)
Responses

225
225

36
36

250
250

40

Answer 3

To solve the equation

\[ \frac{2}{5}c + 5 = 95, \]

follow these steps:

1. Subtract 5 from both sides:

\[ \frac{2}{5}c + 5 - 5 = 95 - 5 \] \[ \frac{2}{5}c = 90. \]

2. Multiply both sides by \(\frac{5}{2}\) to isolate \(c\):

\[ c = 90 \cdot \frac{5}{2}. \]

3. Calculate the right side:

\[ c = \frac{90 \cdot 5}{2} = \frac{450}{2} = 225. \]

So, \(c = 225\).

The correct response is 225.

Answer 4

What value for n makes this equation true?

13−2n=−109


(1 point)
Responses

-61
-61

-48
-48

48
48

61

Answer 5

To solve the equation

\[ 13 - 2n = -109, \]

follow these steps:

1. Subtract 13 from both sides:

\[ 13 - 2n - 13 = -109 - 13, \] \[ -2n = -122. \]

2. Divide both sides by -2:

\[ n = \frac{-122}{-2} = 61. \]

So, the value for \(n\) that makes the equation true is \(n = 61\).

The correct response is 61.

Answer 6

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

Answer 7

To find out how many students were on each bus, we begin with the total number of students and the number of students who did not ride on the buses.

There are 300 students in total, and 12 students rode in cars. Therefore, the number of students who rode on the buses is:

\[ 300 - 12 = 288 \text{ students.} \]

Now, we know that 288 students rode on 6 buses. To find the number of students on each bus, we divide the number of students by the number of buses:

\[ \text{Number of students per bus} = \frac{288}{6} = 48. \]

Thus, each bus carried 48 students.

The correct response is 48.

Answer 8

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

Answer 9

Let \( x \) represent the number of miles Clara biked last week. According to the problem, 2 times the number of miles she biked last week minus 20 is equal to 112 miles. We can express this as an equation:

\[ 2x - 20 = 112. \]

Now, let's solve the equation step by step:

1. Add 20 to both sides:

\[ 2x - 20 + 20 = 112 + 20, \] \[ 2x = 132. \]

2. Divide both sides by 2:

\[ x = \frac{132}{2} = 66. \]

Therefore, Clara biked 66 miles last week.

The correct response is 66 miles.