Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:
Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:
We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77
Answer:
Step-by-step explanation:
1)
16.90 is about $17
$17 * 3 = 51
6.99 is about $7
7 * 4 = 28
28 + 51 = 79
This is not reasonable because it costs $79, which is more than $75.
7 * 3 = 21
21 + 51 = 72
The customer has enough for 3 supreme pizzas and 3 dessert pizzas.
2)
16.90 is about 17
5.99 is about 6
17 + 6 = 23
23 - 5 = 18
This is reasonable.
3)
14.85 is about 15
6.99 is about 7
15 + 7 = 22
22/100 = 0.22
0.22 * 22 = 4.84
This is reasonable.
4)
16.90 is about 17
14.85 is about 15
5.99 is about 6
6.99 is about 7
17 * 5 = 85
15 * 5 = 75
6 * 5 = 30
7 * 5 = 35
85 + 75 + 30 + 35 = 225
This is reasonable
5)
14.85 + 1.39(4) = 20
1.39 * 4 = 5.56
14.85 + 5.56 = 20.41
This is not reasonable because the total is more then $20.
Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
