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3 years ago

14

A recipe calls for 3 1/2 cups of milk and makes 10 servings. How many cups of milk are needed for 8 servings? (Hint: Set up a pr

oportion, don’t forget to label!)

1 answer:

Aleks [24]3 years ago

3 0

Answer:

2.8 or 2 4/5

Step-by-step explanation:

Here's our proportion of cups of milk to servings

3 1/2:10 For my sake I'm using decimals

3.5:10

Now let's try to get our servings to 1 (a unit rate)

0.35:1 I divided by 10 on each side

We need 8 servings not 1 so let's multiply 8 on each side

2.8:8

In case you want it in fraction form we can do 2 8/10 and simplify it to 4/5 by dividing by 2. Our answer is 2.8 or 2 4/5 cups of milk for 8 servings.

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a rectangular table is two times as long as it is wide. if the area is 18ft^2, find the length and the width of the table.

Tasya [4]

Start here: A = 18 ft^2 = L * W. Next, L = 2W.

Merging these 2 formulas lets us eliminate L:

18 ft^2 = (2W) * (W) = 2W^2.

So W^2 = 9 ft^2, and W=3 ft. Please use L = 2W (from above) to calculate L.

4 0

3 years ago

the width of a rectangle is 6inches less than twice it’s length. Find the dimension of the rectangle if it’s area is 108 square

Sindrei [870]

Answer:

Width = $12$ Length = $9$

Step-by-step explanation:

We have to first find an equations with the given variables:

$w = 2L - 6$

Now apply the area format:

$Length * Width$

Since the area is 108 square inches

$108 = l * w$

$108 = l(2l-6)$

$108 = l(2l) + l(-6)$

$108 = 2l^2 - 6l$

Simplify:

$(l-9) * (l+6) = 0$

Since no number can be negative

$w = 2*9(L)-6$

$w = 12$

$l=9$

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3 years ago

Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earning

kherson [118]

Given:

The table of values for Fallon's earnings in terms of Donald's earnings.

To find:

The equation that best represents Fallon's earnings in terms of Donald's earnings.

Solution:

In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.

If the graph of a linear function passes through two points, then the equation of linear function is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is

$y-45=\dfrac{50-45}{43-38}(x-38)$

$y-45=\dfrac{5}{5}(x-38)$

$y-45=1(x-38)$

$y-45=x-38$

Adding 45 on both sides, we get

$y=x-38+45$

$y=x+7$

Therefore, the correct option is A.

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3 years ago

What is four sevenths of 35?

AnnZ [28]

The answer is 20. just multiply, 4/7*35=20.

5 0

3 years ago

Read 2 more answers

If M is the set of all square of integers that are less than 100 and N is the set of all positive odd numbers that are under 15,

ollegr [7]

A set is simply the group of numbers.

<em>The set of M and N are: </em> $M = \{1,4,9,16,25,36,49,64,81\}$ <em> and </em> $N= \{1,3,5,7,9,11,13\}$ <em>.</em>
<em>The set of M n N is: </em> $M\ n\ N = \{1,9\}$ <em>.</em>
<em>The set of M u N is: </em> $M\ u\ N = \{1,3,4,5,7,9,11,13,16,25,36,49,64,81\}$ <em />

<u>(a) The set of M and N</u>

Given that:

M = squares of integers less than 100

N = Positive odd numbers less than 15

So, we have:

$M = \{1,4,9,16,25,36,49,64,81\}$

$N= \{1,3,5,7,9,11,13\}$

<u>(b) M n N and M u N</u>

M n N is the set of common elements between sets M and N.

So, we have:

$M\ n\ N = \{1,9\}$

M u N is the set of all elements in sets M and N.

So, we have:

$M\ u\ N = \{1,3,4,5,7,9,11,13,16,25,36,49,64,81\}$

Read more about sets at:

brainly.com/question/2332158

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3 years ago