Answer: b = -6
Step-by-step explanation:
-233 = 6(3+7b) +1
-233 = 18 + 42b +1
-233 - 18 - 1 = 42b
-252 = 42b
-252/42 = b
b = -6
Shaun invested $176,250 into the new business.
Marcus invested half of the $940,000 so the amount that Shaun and Tristan invested is:
= 940,000 / 2
= $470,000
Shaun and Tristan invested in the ratio 3:5.
The amount that Shaun invested is:
<em>= (Ratio of Shaun / Sum of the ratios) x Amount both invested </em>
= (3 / (3 + 5 )) x 470,000
= 3/8 x 470,000
= $176,250
In conclusion, Shaun must have invested $176,250 into the business.
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The two best deals would be buy two get two free and the 1/2 off because both would equal 50% off the total price of buying 4 wheels.
This is better than the alternative of only 45% off.
Answer:
21/8
Step-by-step explanation:
Simplify the following:
6 + 1/4 - (3 + 5/8)
Put 3 + 5/8 over the common denominator 8. 3 + 5/8 = (8×3)/8 + 5/8:
6 + 1/4 - (8×3)/8 + 5/8
8×3 = 24:
6 + 1/4 - (24/8 + 5/8)
24/8 + 5/8 = (24 + 5)/8:
6 + 1/4 - (24 + 5)/8
24 + 5 = 29:
6 + 1/4 - 29/8
Put 6 + 1/4 - 29/8 over the common denominator 8. 6 + 1/4 - 29/8 = (8×6)/8 + 2/8 - 29/8:
(8×6)/8 + 2/8 - 29/8
8×6 = 48:
48/8 + 2/8 - 29/8
48/8 + 2/8 - 29/8 = (48 + 2 - 29)/8:
(48 + 2 - 29)/8
| 1 |
| 4 | 8
+ | | 2
| 5 | 0:
(50 - 29)/8
| 4 | 10
| 5 | 0
- | 2 | 9
| 2 | 1:
Answer: 21/8