John gets paid $6 for each of the first 40 toy cars he makes in a week. For any additional toy cars beyond 40, his pay increases 50%. How much does John get paid in a week in which he makes 48 toy cars?
Answers
John get paid in a week in which he makes 48 toy cars = $312
Step-by-step explanation:
Step 1 :
- Pay for each first 40 toy cars = $6
- Pay for each additional toy car = increase in 50% of $6
Step 2 :
50% of $6 = (50/100)$6 = $3
Pay for each additional toy car = (50% of $6) + $6
= $3 + $6 = $9
Step 3 :
Pay for total of 48 cars = pay for 1st 40 cars + pay for additional 8 cars
= $6(40) + $9(8)
= $240 + $72
Pay for total of 48 cars = $312
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Answers
To find 55% of 120 books, multiply 120 x .55
Then add that answer to the original 120.
120 + 55% = 186
B) what percent of the race distance is spent on land?
(P.s all these questions are from a text book and are question I don't understand, so pleases explain your answer.)
:)
Answers
Total triathlon distance →1.5 km + 40km + 10 km = 51.5 km
So 51.5 km represents 100% of distance covered.
The % of each component = (distance of component/Total distance) multiplied by 100% so :
% of swim → (1.5 / 51.5) × 100 → 0.029 × 100 = 2.9%
% of bike ride → (40 / 51.5) × 100 →0.776 × 100 = 77.6%
% of run → (10 / 51.5) × 100 → 0.194 × 100 = 19.4%
Percentage spent on land will be
(40 km bike ride + 10 km run / Total triathlon distance) multiplied by 100%
(50 / 51.5) × 100 → 0.970 ×100 = 97%
Answers
6. 9,300 The digit to the right of the hundred's place is 5, so round the 2 up to a 3.
7. 5,070 The digit to the right of the ten's place is 8, so round the 6 to a 7.
8. 5,280 The digit to the right of the ten's place is a 2, so keep the 8 the same and change the 2 to a 0.
9. 813
10. 220
11. 44,770
12. 76,000
13. 920
14. 220,000
15. 82,300
16. 5,500
17. 500
18. 913,600
19. 88,300
20. 630
Some basic rules to remember about rounding:
1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.
2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.
3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.
Answer:
5. 1,000,000 Because the digit to the right of the hundred thousand's digit is a 9, you need to round it up. Since the number is 900,000, however, you should round it to 1,000,000
6. 9,300 The digit to the right of the hundred's place is 5, so round the 2 up to a 3.
7. 5,070 The digit to the right of the ten's place is 8, so round the 6 to a 7.
8. 5,280 The digit to the right of the ten's place is a 2, so keep the 8 the same and change the 2 to a 0.
9. 813
10. 220
11. 44,770
12. 76,000
13. 920
14. 220,000
15. 82,300
16. 5,500
17. 500
18. 913,600
19. 88,300
20. 630
Step-by-step explanation:
Some basic rules to remember about rounding:
1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.
2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.
3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.
Answers
rectangular prism
volume of 360 cubic units
height is 10 units
Volume = length * width * height
360 cubic units = lw * 10 units
360 / 10 = lw
36 = lw
The only measure of the sides of a square base is 6 units. 6 is the square root of 36.
To prove that the base of the prism is not a square, its measure should be
length = 9 ; 18 ; 12
width = 4 ; 2 ; 3
V = 9 x 4 x 10 = 360
V = 18 x 2 x 10 = 360
V = 12 x 3 x 10 = 360
Answers
35 = - 5/9x
mutiply both sides by -9/5
35*-9/5= -5/9x*-9/5
Cross out 5 and 35, divide by 5.
35/5= 7
-5/5= -1
Cross out the 5 and 5 , divide by 5.
Cross out the 9 and 9, divide by 9.
then becomes 1*1*x= x
7*-9= -63
Answer : x= -63