Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART A
Which of the following sequences of steps can be used to find the cost of each frozen meal?
A/ Multiply 9 by 2, then subtract the result from 22.
B/ Subtract 9 from 22, then divide by 2
C/ Divide 22 by 2, then subtract 9
D/ Subtract 9 from 22, then subtract 2
B/ Subtract 9 from 22, then divide by 2.
Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART B
Which of the following shows the algebraic steps used to write and solve an equation to determine the cost of each frozen meal?
A. 2 (x + 9) = 22
2(x+9)/2 = 22/2
x + 9 = 11
-9 = -9
x = 2
B. 2x + 9 = 22
2x/2 + 9 = 22/2
x + 9 = 11
-9 = -9
x = 2
C. 2x + 9 = 22
-9 = -9
2x = 13
2x/2 = 13/2
x = 6.5
D. 2x + 9 = 22
-9 = -9
2x = 13
-2 = -2
x = 11
PART A
The top of a table has dimensions 2 ft
by x+3 ft
and has an area of 8 ft2
.
Which of the following equations can be used to find the value of x
for this situation?
To find the value of x, we can use the equation for the area of a rectangle:
Area = length * width
Given that the length is 2 ft and the width is (x+3) ft, we can write the equation as:
2 * (x+3) = 8
Simplifying the equation, we get:
2x + 6 = 8
or
2x = 2
Dividing both sides by 2, we get:
x = 1
So the equation that can be used to find the value of x is:
2 * (x+3) = 8
solve for x
To solve for x, we can start with the equation:
2 * (x+3) = 8
First, distribute the 2 to both terms inside the parentheses:
2x + 6 = 8
Next, subtract 6 from both sides of the equation:
2x = 2
Finally, divide both sides of the equation by 2:
x = 1
So the solution is x = 1.
Amari went to the mall and spent $47
. He bought one shirt for $26
and he bought 3 pairs of socks. Each pair of socks cost the same amount of money.
PART A
Write an equation that can be used to find the cost of each pair of socks. Use x
to represent the cost of each pair of socks.
Let's denote the cost of each pair of socks as x. Since Amari bought 3 pairs of socks, the total cost of the socks would be 3x.
The equation can be written as:
Cost of shirt + Cost of socks = Total spent
$26 + 3x = $47
cost of each sock?
To find the cost of each sock, we can start with the equation we previously wrote:
$26 + 3x = $47
Subtract $26 from both sides of the equation:
3x = $47 - $26
Simplifying the right side, we get:
3x = $21
Now, divide both sides of the equation by 3:
x = $21 / 3
Simplifying the division, we find:
x = $7
Therefore, the cost of each pair of socks is $7.
A family room and two bedrooms cost $360 to steam clean the carpets. The amount of labor and the service fee are incorporated into the total cost. Let x represent the labor costs per room and $45 equal the service fee. If it took the carpet cleaners (3) hours to complete the job, how much was the labor?
Choose the equation that represents this situation.
To find the labor costs per room, we can set up an equation using the given information.
Let's denote the labor costs per room as x. Since there is one family room and two bedrooms, the total labor costs would be 3x.
We also know that the total cost to steam clean the carpets is $360, and this includes the labor costs and a service fee of $45. Therefore, the equation that represents this situation is:
Total cost = Labor costs + Service fee
$360 = 3x + $45
Lilly and Samuel purchased supplies together for a school project. They need to determine how much each person should pay.
Markers cost $2.59
each
Poster boards cost $5.59
each
Glue sticks cost x
each.
Lilly selects 5 markers and 2 poster boards and a glue stick. Samuel selects 3 markers and 3 poster boards and a glue stick. The total for their combined purchase was $49.57
.
First, select the equation that could be used to solve for x
, the cost of one glue stick. Then, select the amount that each person should pay based on the supplies they selected.
To solve for x, the cost of one glue stick, we can set up an equation using the given information.
Lilly selected 5 markers, 2 poster boards, and 1 glue stick. The total cost of her supplies would be:
Cost of markers + Cost of poster boards + Cost of glue stick = Total cost for Lilly
5 * $2.59 + 2 * $5.59 + x = Total cost for Lilly
Samuel selected 3 markers, 3 poster boards, and 1 glue stick. The total cost of his supplies would be:
Cost of markers + Cost of poster boards + Cost of glue stick = Total cost for Samuel
3 * $2.59 + 3 * $5.59 + x = Total cost for Samuel
The equation that represents this situation is:
5 * $2.59 + 2 * $5.59 + x + 3 * $2.59 + 3 * $5.59 + x = $49.57
Now, simplify and solve for x to determine the cost of one glue stick.
Jocelyn and Andy were purchasing items for their quarterly project. Jocelyn picked out 6
pens,2
posters and a glue stick. Andy picked out4
pens, 1
poster and a glue stick. Andy wants to split the bill between the two. Jocelyn states that Andy would not have to pay as much as she would. The total the two spent was$23.61
. The prices were as follows.
Pen $1.19
each
Poster $3.57
each
Glue Sticks were on sale 3 for a $1
Which equation represents the situation and solves for x, the cost of each glue stick?
To solve for the cost of each glue stick, let's set up an equation using the given information.
Jocelyn picked out 6 pens, 2 posters, and 1 glue stick. The total cost of her items would be:
Cost of pens + Cost of posters + Cost of glue stick = Total cost for Jocelyn
6 * $1.19 + 2 * $3.57 + x = Total cost for Jocelyn
Andy picked out 4 pens, 1 poster, and 1 glue stick. The total cost of his items would be:
Cost of pens + Cost of poster + Cost of glue stick = Total cost for Andy
4 * $1.19 + 1 * $3.57 + x = Total cost for Andy
Since Andy wants to split the bill between the two, the equation representing the situation would be:
(6 * $1.19 + 2 * $3.57 + x) / 2 = (4 * $1.19 + 1 * $3.57 + x) / 2
Now, solve this equation to find the cost of each glue stick (x).
what website do u use to find this
As an AI language model, I don't access the internet or use specific websites. Instead, I have been trained on a diverse range of data to provide information and answer questions based on the knowledge I have been given. The information I provided earlier was based on general math principles and problem-solving techniques. If you have any specific questions or need further assistance, feel free to ask!
Some of these questions seem wrong.
B. 2x + 9 = 22
2x/2 + 9 = 22/2
x + 9 = 11
-9 = -9
x = 2