Answer:
All integers are whole numbers
Step-by-step explanation:
Integers include all whole numbers and their negative counterpart (basically numbers that are NOT fractions or decimals).
Whole numbers don't include negative numbers (as negative numbers are rational numbers).
Answer:
91
Step-by-step explanation:
Todd’s average score for six tests = 92.
The sum of two of her test = 188
First, we need to find the total score for the six test. This given below:
Average = sum of all test / number of test
sum of all the test = average x number of test
average score for six tests = 92.
Number of test = 6
Sum of all the Tests = 92 x 6 = 552
Sum of four test = sum of all the test — sum of two test
Sum of four test = 552 — 188 = 364
Now we can solve for the average of the other four test as shown below:
Average of four test = 364/4= 91
Let x be the 1st number
x + 9 be the second number
Equation:
x + x+9 = 171
Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90
81 + 90 = 171
You are buying 2 items so let's use two different variables to represent each:
p = number of tubes of paint
b = number of disposable brushes
cost = price per item × number of items
Equations from information given:
4p + 0.50b = 20 ← from the first 2 sentences
2p = b ← if there are twice as many brushes as paint tubes you need 2 times paint tubes to equal number of brushes
Solve the problem by using substitution... 1b equals 2p so replace b with that:
4p + 0.50(2p) = 20
4p + 1p = 20 ← 0.50 is half so half of 2p is 1p
5p = 20 ← combine like terms
p = 4 ← divide both sides of the equation by 5
Recall the equation 2p = b replace p with 4
2(4) = b
8 = b
ANSWER:
You purchased 4 tubes of paint and 8 disposable brushes.
