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Tcecarenko [31]
3 years ago
15

Zoe has 5 pounds of potatoes. She has multiple recipes that require 3/4 pounds of potatoes. How many recipes will she be able to

make?
Mathematics
2 answers:
SVEN [57.7K]3 years ago
6 0

Answer:

6 recipes

Step-by-step explanation:

Zoe has 5 pounds of potatoes.

She has some recipes that require  \frac{3}{4} pounds of potatoes.

She will be able to make number of recipe = \frac{5}{\frac{3}{4} }

= \frac{5\times 4}{3}

= \frac{20}{3}

= 6\frac{2}{3}

≈ 6 recipes

She would be able to make 6 recipes.

7nadin3 [17]3 years ago
4 0

To find the answer convert 5 into 5/1. To make it compatible with 3/4 you have to have the same denominator. So to make 5/1 compatible with x/4 you multiply both sides by 4, so it would be 20/4. And then to find how many recipes you can make you would multiply 3 to the highest number it can be that does not exceed 20. The closest 3 can get to 20 before exceeding it would be 6 times. 6/1x3/4 =18/4. So you could make 6 recipes and you would have 2 pounds of potatoes left.

Zoe can make 6 recipies and she will have 2 pounds of potatoes left.

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Match the graph with the correct equation. Please help!
galina1969 [7]

Answer:

y = -x -2

Step-by-step explanation:

The graph has a slope of -1 and a y-intercept of -2.

The equation is therefore

y = -x -2

6 0
3 years ago
The dimensions of a rectangle can be represented by the functions shown. Which function represents the area of the rectangle, h(
marta [7]

The area of the rectangle is represented by the function h(x) = 15x^2 - 41x + 14.

Option D is the correct answer.

<h3>How do you calculate the area of the rectangle?</h3>

Given that the functions are,

f(x) = 5x-2 and g(x)= 3x-7

The area of the rectangle is given below.

h(x) = f(x)g(x)

h(x) = (5x-2)(3x-7)

h(x) = 15x^2 - 35x - 6x + 14

h(x) = 15x^2 - 41x + 14

Hence the area of the rectangle is represented by the function h(x) = 15x^2 - 41x + 14. Option D is the correct answer.

To know more about the area of the rectangle, follow the link given below.

brainly.com/question/16719731.

5 0
3 years ago
NO LINKS!!!!!
fenix001 [56]

Answer:

c) 27 feet

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The graph of a quadratic function has a vertex of (3,6) and passes through (1, 42).
Karolina [17]
<h3>Answer:   a = 9</h3>

===========================================================

Explanation:

Vertex form in general is

y = a(x-h)^2 + k

The given vertex is at (3,6) meaning (h, k) = (3, 6)

So h = 3 and k = 6 are plugged into the first equation shown above

y = a(x-h)^2 + k

y = a(x-3)^2 + 6

Now plug in x = 1 and y = 42, which is from (x,y) = (1,42).

So we get,

y = a(x-3)^2 + 6

42 = a(1-3)^2 + 6

At this point, we have one variable and we can isolate it like so:

42 = a(1-3)^2 + 6

42 = a(-2)^2 + 6

42 = a(4)

42 = 4a+6

4a+6 = 42

4a = 42-6

4a = 36

a = 36/4

a = 9 is the final answer

---------------------

Extra info (optional section):

This means the y = a(x-h)^2 + k becomes y = 9(x-3)^2 + 6

Let's expand that out and get it into standard form

y = 9(x-3)^2 + 6

y = 9(x^2-6x+9) + 6

y = 9x^2-54x+81+6

y = 9x^2 - 54x + 87

The last equation is in the form y = ax^2+bx+c where,

a = 9

b = -54

c = 87

6 0
3 years ago
A rectangular prism has a top face with an area of 20 ft² and a height of 5 ft. What is the volume of this rectangular prism?
Troyanec [42]

Answer:

100\text{ ft}^3

Step-by-step explanation:

We have been given that a rectangular prism has a top face with an area of 20 ft² and a height of 5 ft.

We know that volume of rectangular prism will be area of base or top face times height of the prism.

\text{Volume of rectangular prism}=20\text{ ft}^2\times 5\text{ ft}

\text{Volume of rectangular prism}=100\text{ ft}^3

Therefore, the volume of the rectangular prism would be 100 cubic feet.

6 0
3 years ago
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