Answer:
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
Step-by-step explanation:
DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.
Let us represent:
Cost of 1 rose bush = x
Cost of 1 geraniums = y
DeShawn spent $13 on 1 rose bush and 4 geraniums.
x + 4y = 13..... Equation 1
x = 13 - 4y
Mike spent $56 on 10 rose bushes and 3 geraniums.
10x + 3y = 56....... Equation 2
We substitute 13 - 4y for x in Equation 2
10(13 - 4y) + 3y = 56
130 - 40y + 3y = 56
Collect like terms
- 40y + 3y = 56 - 130
-37y = -74
y = -74/37
y = $2
Solving for x
x = 13 - 4y
x = _13 - 4 × $2
x = $13 - $8
x = $5
Therefore,
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
Answer:
Mandy sold 250 pancakes and 50 waffles.
Step-by-step explanation:
From the information given, you can say that the sum of pancakes and waffles is equal to 300:
x+y=300
Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:
3x+y=800
You have the following equations:
x+y=300 (1)
3x+y=800 (2), where:
x is the number of pancakes she sold
y is the number of waffles she sold
Now, you can solve for x in (1):
x=300-y (3)
Then, you can replace (3) in (2):
3(300-y)+y=800
900-3y+y=800
900-800=2y
100=2y
y=100/2
y=50
Finally, you can replace the value of y in (3) to find x:
x=300-50
x=250
According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.
1.065. The 5 is the nearest thousandth
Answer:
A. <u>4</u> trucks will make $80 because 4 × 20 = 80, so they need to wash <u>38</u> cars to make the other $380 because 38 × 10 = 380.
($80 + $380 = $460)
B. <u>15</u> trucks will make $300 because
15 × 20 = 300, so they need to wash <u>16</u> cars to make the other $160 because 16 × 10 = 160. ($300 + $160 = $460)
C. <u>21</u> trucks will make $420 because
21 × 20 = 420, so they need to wash <u>4</u> cars to make the other $40 because 4 × 10 = 40.
($420 + $40 = $460)
D. <u>27</u> trucks will make $540, so they won't have to wash any cars because they would have already exceeded their goal of $460.
Not sure what to do for letter E. Sorry. I hope the rest makes sense though :)
