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2 years ago

12

He tells you that each small pizza only gets ⅛ of a pound of cheese. Sal yells for you to run to the cooler and get the exact am

ount of cheese that you will need. How much cheese will you need to make 16 small pizzas?

1 answer:

sleet_krkn [62]2 years ago

3 0

Answer:

2 pounds

Step-by-step explanation:

8 pizzas= 1 pound of cheese

8+8=16

16 pizzas = 2 pounds of cheese

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Use the three steps to solve the problem.

Lina20 [59]

Okay, so
a=2b+11
<span>a+b = 2(a-b) </span>

<span>now solve </span>

<span>a+b = 2a-2b </span>
<span>3b = a, put that into the 1st equation: </span>

<span>3b = 2b+11 </span>
<span>b=11 </span>
<span>a = 2(11) +11 = 33 </span>

<span>check in the 2nd equation: </span>
<span>33+11 = 2(33-11) </span>
<span>44 = 2(22) </span>
<span>44 = 44</span>

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4 years ago

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An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the

sdas [7]

Answer:

a

$n= 75, 582$

b

$n= 2300$

c

$n = 253$

Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

$n= 75, 582$

For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

4 0

4 years ago

Part 1: Identify the vertex, focus, and directrix of each. Then sketch the graph.

Lina20 [59]

Answer: $\bold{1.\quad \text{Vertex}:(4,-1)\qquad \text{Focus}:\bigg(4,-\dfrac{9}{8}\bigg)\qquad \text{Directrix}:y=-\dfrac{7}{8}}$

$\bold{2.\quad \text{Vertex}:(2,1)\qquad \text{Focus}:\bigg(\dfrac{9}{4},1\bigg)\qquad \text{Directrix}:y=\dfrac{7}{4}}$

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h

(h, k) is the vertex

p is the distance from the vertex to the focus

-p is the distance from the vertex to the directrix

$\bullet\quad a=\dfrac{1}{4p}$

1) y = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)

$a=\dfrac{1}{4p}\quad \rightarrow \quad -2=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{8}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{-8}{8}+\dfrac{-1}{8}\\\\.\qquad =-\dfrac{9}{8}\qquad \rightarrow \qquad \text{Focus}=\bigg(4,-\dfrac{9}{8}\bigg)\\\\\\\text{Directrix: y=Vertex - p}\\\\.\qquad \qquad y=\dfrac{-8}{8}-\dfrac{-1}{8}\\\\.\qquad \qquad y=-\dfrac{7}{8}$

*******************************************************************************************

2) x = (y - 1)² + 2 → a = 1 (h, k) = (2, 1)

$a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{8}{4}+\dfrac{1}{4}\\\\.\qquad =\dfrac{9}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(\dfrac{9}{4},1\bigg)\\\\\\\text{Directrix: x=Vertex - p}\\\\.\qquad \qquad x=\dfrac{8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=\dfrac{7}{4}$

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3 years ago

Jeff wants to build a barn that is 50 ] feet long by 204 feet wide. What is the area of the barn in square feet?

seraphim [82]

Answer:

10200\

\\\\SHREKS GAYSDEWD

Step-by-step explanation:

the answer is 10200

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3 years ago

Eliminate the parameter in the equations x =t Superscript one-half and y = t – 4. How can the rectangular equation be described?

miskamm [114]

Answer:

A. CUBIC

Step-by-step explanation:

I got it right on edg21

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3 years ago

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