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RUDIKE [14]
3 years ago
12

Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of le

monade concentrate? Please include an explanation :)
Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

number of servings = 1.5

Step-by-step explanation:

1 gallon = 16 Cups

cups of lemonade concentrate : lemonade servings

212 cups : 20 servings

How many servings can Mary make using 1 gallon of lemonade concentrate

Let

x = number of servings

cups of lemonade concentrate : lemonade servings

16 cups : x servings

Equate both ratios to get x

212 : 20 = 16 : x

212 / 20 = 16 / x

Cross product

212 * x = 20 * 16

212x = 320

x = 320 / 212

= 1.5094339622641

Approximately 1.5 servings

number of servings = 1.5

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F(x)=3x+2 what is f(5)
adell [148]

Answer:

17

Step-by-step explanation:

Substitute.

f(x)=3(5)+2

    =15+2

    =17

I hope this helps!

8 0
3 years ago
Read 2 more answers
MATH GRADE 8 15. a) and b)
Elden [556K]

Answer:   1300 cm³

a) Find the volume of the entire rectangle and subtract the volume of the missing section. Volume = L · w · h

Solid = Rectangle - Missing section  

        =  L · w · h    -   L · w · h  

        = 16 · 10 · 10 - 10 · 6 · 5

        =     1600     -     300

        =             1300

b) Find the volume of each section of the rectangle (base, left wing right wing) and add them. Volume = L · w · h

Solid =   Base       +   Left wing  +    Right wing  

        =  L · w · h    +     L · w · h   +     L · w · h

        = 16 · 10 · 5   +   5 · 10 · 5   +   5 · 10 · 5

        =     800       +     250        +      250

        =                        1300

The answer from (a) is the same as (b) \checkmark




6 0
4 years ago
Stoplight a changes color every 30 seconds and stoplight b changes every 40 seconds. after how many seconds will the stoplights
andrey2020 [161]

Answer:

After 120 seconds

Step-by-step explanation:

Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.

Basically, what we want to do here is to

calculate the value with which 30 and 40 have the same multiples or we want to

calculate the lowest common multiple of 30 and 40

The multiples of 30 are 30,60,90,120 etc

The multiples of 40 are 40,80,120 etc

We can see that the lowest common multiple of both is 120

So therefore the spotlights will change colors at the same time after 120 seconds

6 0
3 years ago
Help me with this question please
azamat

Answer:

It would be 3.

Step-by-step explanation:

In order to get 3, notice how 4 became 2 for the small triangle. Well, in this case, 4/2=2. So, do 6/2=3.

7 0
3 years ago
PLEASE HELP I WILL MARK YOU BRAINIEST
quester [9]

Answer:

The answer is (D) y < 4

4 0
3 years ago
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