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amid [387]
3 years ago
13

A pastry recipe calls for 3 cups of flour to make 8 servings. how many cups of flour are needed to make 6 servings?

Mathematics
2 answers:
pychu [463]3 years ago
5 0

Answer:

2.25\ cups

Step-by-step explanation:

we know that

Using proportion

\frac{3}{8}\frac{cups}{servings}=\frac{x}{6}\frac{cups}{servings} \\ \\x=6*3/8\\ \\ x=2.25\ cups

zimovet [89]3 years ago
4 0
To make one serving you need 3cups/8servings = 3/8 cup.

To make 6 servings you need 3/8cup * 6 servings = 9/4 cups = 2.25 cups.
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8 0
2 years ago
A young boy has 40 total pets. He has two different types of pets. He has cats and penguins. The total number of the heads of hi
Nina [5.8K]

Answer:

He has 30 penguins and 10 cats.

Step-by-step explanation:

Let's define the variables:

C =  number of cats.

P = number of penguins.

We know that he has a total of 40 pets, then:

C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

(40 + 2*P) - 2*P = 4*C + 2*P - 2*P

40 = 4*C

Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

P + C = 40

to find the value of P

P + 10 = 40

P = 40 - 10 = 30

P = 30

He has 30 penguins.

3 0
3 years ago
Edger needs 6 cookies and 2 brownies for every 4 plates how many cookies and brownies does he need for 10 plates
evablogger [386]

Answer:

Edger needs 15 cookies and 5 brownies.

Step-By-Step:

6 + 6 + 3 = 15

2 + 2 + 1 = 5

4 can go into 10, 2.5 times

6 0
2 years ago
A data set has the following statistical measures.
bezimeni [28]

Answer:

There is a large outlier.

Step-by-step explanation:

4 0
2 years ago
A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle
s344n2d4d5 [400]

Answer: Length = 15 meters

Width = 2 meters

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 34 ...... i

l × w = 30 ........ ii

From equation i

2l + 2w = 34

Divide through by 2.

l + w = 17 ...... iii

Then, l = 17 - w ........ iv

Put equation iv into ii

l × w = 30

(17 - w) × w = 30

17w - w² = 30

w² - 17w + 30 = 0

w² - 15w - 2w + 30 = 0

w(w - 15) - 2(w - 15) = 0

(w - 2) = 0

w = 0 + 2 = 2

w - 15 = 0

w = 0 + 15 = 15

Length = 15 meters

Width = 2 meters

6 0
2 years ago
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