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lara [203]
3 years ago
12

Julie is 12 ounce of cheese in her potato soup recipe yields 8 servings and Julie needs enough for 20 servings how many pounds o

f cheese will she need
Mathematics
1 answer:
inysia [295]3 years ago
8 0
12oz=\frac{8}{20} or \frac{2}{5} of what she needs.
 we can now multiply
12oz *\frac{5}{2}= 30 oz  
but we need to know pounds and a pound is 16 oz so 2 pounds should be enough
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A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0
3 years ago
a real estate agent revives a 3% commission for selling a house. find the commission that the agent earned for selling a house f
UNO [17]
The answer is 3930.

All you have to do is multiply 131,000 * 3 and then divide that by 100.

Hope that helps!
5 0
2 years ago
Read 2 more answers
YALL PLSSSSSSSS HELP IM SHAKING I NEED HELP PLSS
Vilka [71]

Answer:

someone is adding dont worrie

Step-by-step explanation:

8 0
2 years ago
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
erastova [34]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

<em>S = 138in²</em>

<em>Hence the total surface area of the box is 138in²</em>

5 0
2 years ago
Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.
Morgarella [4.7K]

Answer:

  • A, B, E

Step-by-step explanation:

<u>Given equation</u>

  • y = 8.5x

<u>Answer choices</u>

A. The equation represents a proportional relationship.

  • TRUE, it is in the form of y = kx

B. The unit rate of change of y with respect to x is 8.5

  • TRUE, y = mx + b, the slope m = 8.5 is the rate of change

C. The slope of the line is 2/17

  • False, the slope is 8.5

D. A change of 17 units in x results in a change of 2 units in y.

  • False, a change of x = 17 results in 17*8.5 = 144.5 units in y

E. A change of 4 units in x results in a change of 34 units in y.

  • TRUE, because 4*8.5 = 34
3 0
2 years ago
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