(Checking my answers!)
Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted.
m − 8
14(m − 8) **
9(m + 8)
112m
Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.
0.85p = p – 150
0.85(p – 150) = p
0.15p = p − 150 **
0.15p = p + 180
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B.
(Not multiple choice!)
My answer is that Car A traveled 55 mph faster than Car B
In October, Greg and Thomas had the same amount of money in their savings accounts. In November, Greg deposited $120 into his account. Thomas increased the money in his account by 20%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in October?
(Not multiple choice!)
Having a hard time with this question..
In October, Greg and Thomas had the same amount of money in their savings accounts. In November, Greg deposited $120 into his account. Thomas increased the money in his account by 20%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in October?
To find the answer to the question, "How much money did they both have in their accounts in October?", we can use the information given and set up an equation.
Let's assume that the amount of money they both had in their accounts in October is "x".
In November, Greg deposited $120 into his account. Therefore, Greg's balance in November would be "x + $120".
Thomas increased the money in his account by 20%. Since we know that the amount in his account in October was also "x", we can express the increase as 20% of "x" which is 0.2x. Therefore, Thomas's balance in November would be "x + 0.2x" which simplifies to "1.2x".
Since they compared their balances in November and found them to be equal, we can set up the equation:
x + $120 = 1.2x
Now, we can solve the equation to find the value of "x":
Subtract x from both sides of the equation:
$120 = 0.2x
Divide both sides by 0.2:
$600 = x
Therefore, they both had $600 in their accounts in October.
To find the answer to this question, we need to work through the given information step by step.
We know that in October, Greg and Thomas had the same amount of money in their savings accounts. Let's call this amount "x".
In November, Greg deposited $120 into his account. So, his total balance in November would be x + 120.
Thomas increased the money in his account by 20%. To calculate this increase, we can multiply x by 20% (which is equivalent to multiplying x by 0.2), and then add it to x. So, Thomas's total balance in November would be x + 0.2x = 1.2x.
Since they both found that their balances were still equal, we can set up the following equation:
x + 120 = 1.2x
Now, we need to solve for x.
By subtracting x from both sides of the equation, we get:
120 = 0.2x
To isolate x, we divide both sides of the equation by 0.2:
120 / 0.2 = x
This gives us:
x = 600
Therefore, they both had $600 in their accounts in October.
#1 ok
#2 - the discount was 15%, meaning the actual price was 85%, so
0.85p = p – 150
#3
WHAT? They just told you that A traveled 22 mph faster than B!
If car B has speed s, then
2.4(s+22) = 4s
This will give you B's speed.
The distance traveled was 4s
#4
If the amount at the end of October was x, then we have
x + 120 = 1.20x