Question 1
A)Use substitution to determine which number from the set {6, 7, 8} makes the equation 54÷x=9 true.(1 point)
x=$$
Question 2
A)Solve the equation 653=x−243.(1 point)
x= $$
Question 3
A)Kendall feeds her cat a total of 45 cup of food every day. She feeds it 12 cup of food in the evening. Solve an equation to find how much food she gives to the cat the rest of the day. Write your answer in fraction form only.(1 point)
$$ cup
Question 4
A)Solve for w: 3w=126(1 point)
w=$$
Question 5
A)Ms. Quarles gave the same math unit test to all her classes. She grades 25% of the tests, which is 30 papers. How many students does Ms. Quarles have in total?(1 point)
n= $$
Question 6
A)Randy and three of his friends went to a restaurant to eat dinner. The bill was $52. How much money does each person have pay towards the bill?(1 point)
n= $$$
Question 7
A)Solve for x: 65x=90(1 point)
x= $$
Question 8
A)AJ’s office purchased a small vending machine and need to supply it with drinks. A large box from the wholesale store contains 25 bottles of assorted drinks. If each drink bottle has the same price of $1.75, how much does the large box cost?(1 point)
x= $$$
Question 9
A)Use inverse operations to solve the equation 12.6+x=22.18.(1 point)
x=$$
Question 10
A)A shipping company ships packages from New York to Chicago. The more packages the company needs to ship, the more drivers the company will need to hire. Identify the independent variable. Input 1 if the number of packages the company needs to ship is the independent variable. Input 2 if the number of drivers the company needs to hire is the independent variable.(1 point)
$$
Question 11
A)A family goes on a trip. They drive 65 mph. Write an equation using two variables to show the relationship between the number of hours driven, h, and the total amount of miles drive, m. How far did they drive after 7 hours?(1 point)
Equation: $$
Miles driven: $$
Question 12
A)Which of the numbers 1, 2, and 3 is a solution of 2x+1≥7?(1 point)
$$
Question 13
A)
If the amount of carbon dioxide (CO2) in a workplace is greater than 1,000 parts per million (ppm), it can cause drowsiness and complaints of stale air. Write an inequality to show the amount of (c) in parts per million that would cause drowsiness and complaints of stale air. Begin the inequality with c
.
Note: you will find the option to add a <
, >
, ≤
, or ≥
symbol in the Comparison (<)
keyboard.
(1 point)
$$ ppm
Question 14
A)Mikayla and Jesse both solved the equation x−15=12−8, using substitution. Mikayla says the answer is x=19, and Jesse says the answer is x=27. Which student is correct, and how do you know? Show your work and explain your thinking. (2 points)
For Question 1:
A) Using substitution to solve the equation 54/x = 9:
54/x = 9
54 = 9x
x = 54/9
x = 6
Therefore, the number from the set {6, 7, 8} that makes the equation true is x = 6.
For Question 2:
A) Solving the equation 653 = x-243:
x = 653 + 243
x = 896
Therefore, x = 896.
For Question 3:
A) Let the amount of food Kendall gives to the cat the rest of the day be represented by y. The total amount of food is 45 cups, with 12 cups fed in the evening:
y + 12 = 45
y = 45 - 12
y = 33
Therefore, Kendall gives the cat 33 cups of food the rest of the day.
For Question 4:
A) Solving for w in 3w = 126:
w = 126/3
w = 42
Therefore, w = 42.
For Question 5:
A) If 25% of the tests is 30 papers, then the total number of tests is:
30 / 0.25 = 120
Therefore, Ms. Quarles has 120 students in total.
For Question 6:
A) Splitting the $52 bill among Randy and his 3 friends:
$52 / 4 = $13
Therefore, each person has to pay $13 towards the bill.
For Question 7:
A) Solving for x in the equation 65x = 90:
x = 90/65
x = 1.3846
Therefore, x = 1.3846.
For Question 8:
A) The cost of the large box containing 25 bottles of drinks at $1.75 per bottle is:
25 * $1.75 = $43.75
Therefore, the large box costs $43.75.
For the remaining questions, please provide the answers or equations to continue solving them.
Use inverse operations to solve the equation 12.6+x=22.18 . X=
A shipping company ships packages from New York to Chicago. The more packages the company needs to ship, the more drivers the company will need to hire. Identify the independent variable. Input 1 if the number of packages the company needs to ship is the independent variable. Input 2 if the number of drivers the company needs to hire is the independent variable.(1 point)...
A family goes on a trip. They drive 65 mph. Write an equation using two variables to show the relationship between the number of hours driven, h , and the total amount of miles drive, m . How far did they drive after 7 hours?(1 point)
Equation:
Miles driven:
Which of the numbers 1, 2, and 3 is a solution of 2x+1≥7 ?
For Question 9:
Using inverse operations to solve the equation 12.6 + x = 22.18:
Subtract 12.6 from both sides to isolate x:
x = 22.18 - 12.6
x = 9.58
Therefore, x = 9.58.
For Question 10:
Identifying the independent variable in the shipping company scenario:
1. Input 1: The number of packages the company needs to ship is the independent variable.
For Question 11:
Using two variables, h and m, to show the relationship between the number of hours driven and the total amount of miles driven:
Equation: m = 65h
After 7 hours, they would have driven:
miles = 65 * 7
miles = 455 miles
Therefore, they would have driven 455 miles after 7 hours.
For Question 12:
Checking which of the numbers 1, 2, and 3 is a solution of 2x + 1 ≥ 7:
2x + 1 ≥ 7
2x ≥ 6
x ≥ 3
Therefore, the number 3 is the only solution that satisfies 2x + 1 ≥ 7.
f the amount of carbon dioxide (CO2) in a workplace is greater than 1,000 parts per million (ppm), it can cause drowsiness and complaints of stale air. Write an inequality to show the amount of (c) in parts per million that would cause drowsiness and complaints of stale air. Begin the inequality with c
.
Note: you will find the option to add a <
, >
, ≤
, or ≥
symbol in the Comparison (<)
keyboard.
(1 point)
ppm
The inequality to show the amount of CO2 (c) in parts per million that would cause drowsiness and complaints of stale air would be:
c > 1000 ppm
This means that if the amount of CO2 in a workplace is greater than 1000 parts per million, it can cause drowsiness and complaints of stale air.
Mikayla and Jesse both solved the equation x−15=12−8 , using substitution. Mikayla says the answer is x=19 , and Jesse says the answer is x=27 . Which student is correct, and how do you know? Show your work and explain your thinking
make it sonud like a smart kid and make it short
To solve the equation x - 15 = 12 - 8:
Mikayla's Solution:
x - 15 = 12 - 8
x - 15 = 4
x = 4 + 15
x = 19
Jesse's Solution:
x - 15 = 12 - 8
x - 15 = 4
x = 4 + 15
x = 19
Both Mikayla and Jesse are correct because they both followed the correct steps and arrived at the same answer, x = 19. The equation was solved accurately by both students.
Kendall feeds her cat a total of 4/5 cup of food every day. She feeds it 1/2 cup of food in the evening. Solve an equation to find how much food she gives to the cat the rest of the day. Write your answer in fraction form only.
To find out how much food Kendall gives to the cat the rest of the day, let's represent the amount of food she gives to the cat the rest of the day as y.
Given:
Total amount of food = 4/5 cup
Amount of food fed in the evening = 1/2 cup
Equation:
y + 1/2 = 4/5
Now, solve for y:
y = 4/5 - 1/2
y = 8/10 - 5/10
y = 3/10
Therefore, Kendall gives the cat 3/10 cup of food the rest of the day.
Solve the following equation. Show all your work.
21.3=x+5.1