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sasho [114]
4 years ago
7

Kim's recipe for fruit punch calls for 3 cups fruit punch syrup to 4 cups of water. Tammy's recipe for fruit punch calls for 5 c

ups fruit punch syrup to 6 cups water. Whose recipe makes a sweeter fruit punch? Use your knowledge of equivalent ratios,equivalent factionsband comparing to support your answer.
Mathematics
1 answer:
zhannawk [14.2K]4 years ago
5 0
Tammy's recipe makes a sweeter fruit punch. This is because 3/4 (Kim's recipe) equals 18/24 (Tammy's recipe) and 5/6 equals 20/24 and since 20/24 is the bigger ratio, Tammy's recipe will make a sweeter fruit punch. I hope this helps. (:
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Todd bought a game for $36 with a coupon for 25% off. How much would it have cost without the coupon?
kotykmax [81]

Answer:

Step-by-step explanation:

x*0.75=36

x=36/0.75=48 $

6 0
3 years ago
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You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk
Rina8888 [55]

Answer:

Part a) y=18.50x+100

Part b) The total cost is \$220.25

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

m=\$18.50\ per\ hour

The y-intercept or initial value is equal to

b=\$100

substitute

y=18.50x+100

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

y=18.50(6.5)+100\\y=\$220.25

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0
3 years ago
25% of Santa’s 8 reindeer were playing reindeer games how many of Santa’s reindeer were not playing games
mojhsa [17]

Answer:6

Step-by-step explanation:

50% = 4 reindeer

25% = 2

Just basically keep halfing it

5 0
3 years ago
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Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu
irina [24]

Answer:

The function is represented by C(d) = 75\,USD + r\cdot d.

Step-by-step explanation:

In this case, we must observe that total cost of the dog (C(d)) is the sum of two components: i) <em>Fixed cost</em> (C_{f}) - Adoption fee, ii) <em>Variable cost</em> (C_{v}) - Daily cost of feeding the dog, both measured in US dollars.

In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:

C (d) = C_{f} + C_{v}

C(d) = C_{f} + r\cdot d

Where:

d - Number of days that Kirstin owns her dog, measured in days.

r - Daily feeding costs, measured in US dollars per day.

If C_{f} = 75\,USD, then:

C(d) = 75\,USD + r\cdot d

The function is represented by C(d) = 75\,USD + r\cdot d.

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One is 17.22 and the other is simply 2.

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