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mihalych1998 [28]

3 years ago

7

Lena is making two dishes for an event. Each batch of her mac-n-cheese recipe calls for 6 ounces of cheese and 2 tablespoons of

basil. For every two pizzas, she needs 16 ounces of cheese and 5 tablespoons of basil. Part A) Lena buys a 32-oz package of cheese. Does she have enough cheese to make 2 batches of man-n-cheese and 3 pizzas?

1 answer:

kvasek [131]3 years ago

4 0

No she needs four more ounces of cheese to make 2 batches of mac n cheese and 3 pizzas

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The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol

kobusy [5.1K]

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 2

<em>Find the distance AB</em>

$A(-2, 1). B(-3, 3)$

substitute in the formula

$d=\sqrt{(3-1)^{2}+(-3+2)^{2}}$

$d=\sqrt{(2)^{2}+(-1)^{2}}$

$d_A_B=\sqrt{5}=2.24\ units$

step 3

<em>Find the distance BC</em>

$B(-3, 3), C(-1, 5)$

substitute in the formula

$d=\sqrt{(5-3)^{2}+(-1+3)^{2}}$

$d=\sqrt{(2)^{2}+(2)^{2}}$

$d_B_C=\sqrt{8}=2.83\ units$

step 4

<em>Find the distance CD</em>

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^{2}+(2+1)^{2}}$

$d=\sqrt{(-1)^{2}+(3)^{2}}$

$d_C_D=\sqrt{10}=3.16\ units$

step 5

<em>Find the distance DE</em>

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(0)^{2}}$

$d_D_E=\sqrt{9}\ units$

$d_D_E=3\ units$

step 6

<em>Find the distance AE</em>

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(2+2)^{2}}$

$d=\sqrt{(0)^{2}+(4)^{2}}$

$d_A_E=\sqrt{16}\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

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2 years ago

The museum of fine arts decides to expand its collection of European, Latin American and African art. After reviewing their curr

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Answer:

Step-by-step explanation:

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African American Art: x+18

European Art: x-15

x+x+18+x-15=78

3x+3=78

3x=75

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Latin American Art: 25

African American Art: 43

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2 years ago

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DanielleElmas [232]

Answer:

30.76923077 or (approx: 30.77)

Step-by-step explanation:

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1 =x% (100 divided by 3.25)

Approx 30.77%

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The verticall intercept is the value of H when t=0. It's 4 in this equation. It's that "several inches" of water that were in the bucket when the rain was ready to start.

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Identify the property demonstrated by the equation.

Dima020 [189]

option B is the correct answer friend.

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