Answer:
+5
Step-by-step explanation:
the average rate of change is adding 5
Answer:
A) $1555
Step-by-step explanation:
The formula for percentages is :
To work this out you would first need to find 16 percent of $2100. You can do this by first dividing the percentage by 100, this gives you 0.16. This is because percentages are out of 100.
The next step is to multiply 0.16 by 2100, this gives you 336. This is because by multiplying 16% as a decimal by the amount of 2100 we are working out 16% of 2100.
The next step is add up the value of all of the deductions. You can do this by adding 336 by 89 by 85 and 35, this gives you 545.
The final step is to minus the total deductions of 545 from the total amount of 2100, this gives you $1555.
1) Divide 16 by 100.
2) Multiply 0.16 by 2100.
3) Add 336 and 89 and 85 and 35.
4) Minus 545 from 2100.
Answer:
The mass of 150 books = 41.7kg
The number of books that have mass 20kg = 72 books
Step-by-step explanation:
(I) Number of identical books = 108
Mass of books = 30 kg
Mass of 150 books = ?
Let the mass of 150 books = x kg
To find the mass of 150 books we will use ratio and proportion:
108 books: 30kg = 150 books: x kg
You can also write it like this because ratio can be written in division:
108/30 = 150/x
By cross multiplication:
108x = 150*30
108 x= 4500
Divide both sides by 108
108 x/108 = 4500/108
x= 41.7
Thus the mass of 150 books = 41.7kg
( ii ) The number of books that have a mass of 20 kg = ?
Let assume that the number of books of mass 20 kg = y books
We will again use ratio and proportion method.
108 books: 30kg = y: 20kg
We can write it as:
108/30 = y/20
By cross multiplication:
108 *20 = 30y
2160= 30y
Divide both the terms by 30
2160/30 = 30y/30
72 = y
Therefore the number of books that have mass 20kg = 72 books ....
Answer:
C. 31
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
· 2² + ( - 2) ÷ 3
2. Calculate within the parenthesis:
· 2² + ÷ 3
3. Calculate the exponent:
· 4 + ÷ 3
4. Multiply and divide (left to right):
29 + ÷ 3
29 +
5. Add:
6. Convert the improper fraction to a mixed number:
= 31
hope this helps!