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
14
90
90
10
10
126
The correct answer is 10. Daisy has 6 more than three times as many seashells as Lucy, so we can set up the equation 3x + 6 = 36, where x is the number of seashells Lucy has. We can then solve for x:
3x + 6 = 36
3x = 30
x = 10
Lucy has 10 seashells.
To find out how many seashells Lucy has, we can set up an equation based on the information given.
Let's say the number of seashells Lucy has is represented by the variable "L".
According to the given information:
Daisy has 6 more than three times as many seashells as Lucy, meaning Daisy has 3L + 6 seashells.
Also, it is stated that Daisy has 36 seashells, so we can set up the following equation:
3L + 6 = 36
To find L, we can solve this equation:
3L = 36 - 6
3L = 30
L = 30/3
L = 10
Therefore, Lucy has 10 seashells.
To solve this problem, we need to set up an equation based on the information given. Let's let x represent the number of seashells Lucy has.
According to the problem, Daisy has 6 more than three times as many seashells as Lucy. We can write this as:
Number of seashells Daisy has = 3 * Number of seashells Lucy has + 6
The problem also tells us that Daisy has 36 seashells. Substituting this information into our equation, we have:
36 = 3x + 6
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 6 from both sides:
36 - 6 = 3x
30 = 3x
Now, to find the value of x, we divide both sides of the equation by 3:
30 / 3 = x
x = 10
Therefore, Lucy has 10 seashells.
2/5c+5=95 (1 point)
Responses
225
225
36
36
250
250
40
To solve the equation 2/5c + 5 = 95, we can start by subtracting 5 from both sides of the equation:
2/5c + 5 - 5 = 95 - 5
This simplifies to:
2/5c = 90
Next, we can multiply both sides of the equation by 5 to eliminate the fraction:
5 * (2/5c) = 5 * 90
This simplifies to:
2c = 450
Finally, we can solve for c by dividing both sides of the equation by 2:
(2c) / 2 = 450 / 2
This simplifies to:
c = 225
Therefore, the value of c that satisfies the equation 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 in the equation 13 - 2n = -109, we can start by isolating the variable n on one side of the equation.
First, we can subtract 13 from both sides of the equation:
13 - 13 - 2n = -109 - 13
-2n = -122
Next, we can divide both sides of the equation by -2 to solve for n:
-2n / -2 = -122 / -2
n = 61
Therefore, 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 find out how many students were on each bus, we can subtract the number of students who rode in cars from the total number of students who went on the field trip.
Total number of students who went on the field trip = 300
Number of students who rode in cars = 12
Total number of students on buses = Total number of students - Number of students who rode in cars
= 300 - 12
= 288
We know that there were 6 buses that were filled. To find out how many students were on each bus, we can divide the total number of students on buses by the number of buses:
Number of students on each bus = Total number of students on buses / Number of buses
= 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