Kayla’s mom is planning her birthday party. She has a budget of $150. She knows that the food will cost $5 per person. Twelve friends are coming to the party. Which expression represents the amount of money, m , Kayla’s mom has to spend on each guest’s goody bag?(1 point)
Responses
m+12(5)=150
m plus 12 Left Parenthesis 5 Right Parenthesis equals 150
12(m+5)=150
12 Left Parenthesis m plus 5 Right Parenthesis equals 150
5(m+12)=150
5 Left Parenthesis m plus 12 Right Parenthesis equals 150
12m+5=150
The bot got the first 2 wrong and didn’t answer the last so here’s the whole quick checks answers.
A1. 12(m+5) = 150
A2. A= 104 square units
First box: Width: 8 length: 6 Second box: n
A3. 16
A4. 11
A5. 27
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Given the equation 8(n+6)=104 , identify the real-world problem that corresponds to this equation.(1 point)
Responses
A rectangle is divided into two sections. One section has a length of 8 and width of 6 comprised of a 2 by 4 matrix of square boxes. The second section has a length of 8 and width of n comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
Image with alt text: A rectangle is divided into two sections. One section has a length of 8 and width of 6 comprised of a 2 by 4 matrix of square boxes. The second section has a length of 8 and width of n comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
A rectangle of is divided into two sections. One section has a length of n and a width of 6 comprised of a 2 by 4 matrix of square boxes. The second section has a length of 8 and a width of 6 comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
Image with alt text: A rectangle of is divided into two sections. One section has a length of n and a width of 6 comprised of a 2 by 4 matrix of square boxes. The second section has a length of 8 and a width of 6 comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
A rectangle is divided into two sections. One section has a length of 8 and a width of n comprised of a 2 by 4 matrix of square boxes. The second section has a width of n plus 6 and length of 8 comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
Image with alt text: A rectangle is divided into two sections. One section has a length of 8 and a width of n comprised of a 2 by 4 matrix of square boxes. The second section has a width of n plus 6 and length of 8 comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
A rectangle is divided into two sections. One section has a length of n minus 6 and width 8 comprised of a 2 by 4 matrix of square boxes. The second section has a length of n and width of 8 comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
Image with alt text: A rectangle is divided into two sections. One section has a length of n minus 6 and width 8 comprised of a 2 by 4 matrix of square boxes. The second section has a length of n and width of 8 comprised of a 3 by 4 matrix of square boxes. Above the rectangle it reads: upper A equals 104 square units.
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Solve −2(4−n)=24 (1 point)
Responses
16
16
−16
negative 16
8
8
−8
To solve the equation −2(4−n)=24, we need to distribute the -2 to both terms inside the parentheses:
-2 * 4 - (-2) * n = 24
-8 + 2n = 24
Next, we can isolate the variable by adding 8 to both sides:
-8 + 2n + 8 = 24 + 8
2n = 32
Divide both sides by 2 to solve for n:
2n/2 = 32/2
n = 16
Therefore, the solution to the equation is n = 16.
One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)
Responses
11
11
5/4
5 fourths
20
20
3 1/2
To solve this problem, we need to translate the given information into an equation.
The difference of a number and 3 can be written as (x - 3), where x represents the unknown number.
One-quarter of that difference can be written as (1/4)(x - 3).
According to the problem, this expression is equal to 2:
(1/4)(x - 3) = 2
To find the number x, we can solve this equation. Let's multiply both sides of the equation by 4 to eliminate the fraction:
4(1/4)(x - 3) = 4(2)
Simplifying, we get:
x - 3 = 8
Now, we can isolate x by adding 3 to both sides of the equation:
x - 3 + 3 = 8 + 3
Simplifying further:
x = 11
Therefore, the number is 11.
Solve 2/3(x −6)=14 (1 point)
Responses
−27
negative 27
27
27
15
15
−15
Twelve friends are coming to the party, so she has to spend $5 for each friend's goody bag. Therefore, the expression that represents the amount of money Kayla's mom has to spend on each guest's goody bag is: 5(m+12)=150
The real-world problem that corresponds to the equation 8(n+6)=104 is:
A rectangle is divided into two sections. One section has a length of n and a width of 6 comprised of a 2 by 4 matrix of square boxes. The second section has a length of 8 and a width of 6 comprised of a 3 by 4 matrix of square boxes. Above the rectangle, it reads: upper A equals 104 square units.