Use substitution to determine which number from the set {6, 7, 8} makes the equation 54÷x=9 true.(1 point)
x=
6
Solve the equation 653=x−243 .(1 point)
x=
653 + 243 = 896
Therefore, x = 896.
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.(1 point)
cup
Let the amount of food Kendall gives the cat the rest of the day be represented by y.
Given:
Total food given = 4/5 cup
Amount given in the evening = 1/2 cup
Equation:
1/2 + y = 4/5
To solve for y, we first want to get y by itself. We can do this by first subtracting 1/2 from both sides of the equation:
y = 4/5 – 1/2
Now, find a common denominator to subtract:
y = 4/5 - 2/4
y = 4/5 - 2/4
y = 4/5 - 2/5
y = 2/5
Therefore, Kendall gives the cat 2/5 cup of food for the rest of the day.
Solve for w : 3w=126 (1 point)
w=
To solve for w in the equation 3w = 126, we need to isolate w.
Divide both sides by 3:
3w = 126
w = 126/3
w = 42
Therefore, w = 42.
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=
Let's represent the total number of students as n.
According to the information provided, 25% of the tests are graded, and this amounts to 30 papers.
We can set up the equation:
0.25n = 30
To solve for n, we divide both sides by 0.25:
n = 30 / 0.25
n = 120
Ms. Quarles has a total of 120 students.
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= $