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LenaWriter [7]
3 years ago
11

The tech club is selling cookies and brownies at the swim meet to raise money for next year's activities. If cookies sell for $0

.50 and brownies sell for $0.75, what combinations of treats need to be sold to raise $100?
Mathematics
1 answer:
sveticcg [70]3 years ago
3 0
Cookies=x
brownies=y
.5x+.75y=100
.5x=100-.75y
x=200-1.5y
400-3y+.75y=100
-2.25y=-300
y=133.333
x=0
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Liam has to fill a hole in the ground that is 24 inches deep. He fills the hole at a rate of 6 inches in 30 minutes. Write a fun
kupik [55]

Answer:

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

Step-by-step explanation:

According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t (1)

Where:

h(t) - Current depth of the hole, measured in inches.

h_{o} - Initial depth of the hole, measured in inches.

\Delta h - Filled level, measured in inches.

\Delta t - Filling time, measured in hours.

t - Time, measured in hours.

If we know that h_{o} = 24\,in, \Delta h = 6\,in and \Delta t = 0.5\,h, then the function that models the depth of the hole is:

h(t) = 24 - 12\cdot t

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

6 0
3 years ago
Sally is having a party and she has invited nine of her friends.
Alexeev081 [22]

Answer:

1) 5 limes, 5 lemons, 1,000 mL of pineapple juice, 2,000 mL of lemonade, 1,000 of orange juice

2) Limes = $2, Lemons = $2.5, Lemonade = $1.60, Orange Juice = 80c, Pineapple Juice = 90c

Step-by-step explanation:

1/2 limes · 10 = 5

1/2 lemons · 10 = 5

100 mL of pineapple juice · 10 = 1,000 mL

200 mL of lemonade · 10 = 2,000 mL

100 mL of orange juice · 10 = 1,000 mL

Cost:

5 limes · 0.4 = $2

5 lemons · 0.5 = $2.5

mL to L

1,000 mL of pineapple juice = 1 L, this costs 90¢

2,000 mL of lemonade = 2 L, this costs $1.60

1,000 mL of orange juice = 1 L, this costs 80¢

Overall:

5 limes for $2

5 lemons for $2.5

1 L of of pineapple juice for 90¢

2 L of lemonade for $1.60

1 L of orange juice for 80¢

3 0
3 years ago
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