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Lera25 [3.4K]
3 years ago
13

Laura was making a recipe that said the ingredients were for 6 people, but she needed to make it for 8 people. The recipe called

for 2 2/3 cups of milk and 1/4 cup of oil. How many cups of liquid ingredients did she need for 8 people?
Mathematics
1 answer:
Natalija [7]3 years ago
7 0
You can use a proportion for each ingredient.

Milk:
2 2/3 cup are to 6 people as x cups are to 8 people

(2 2/3)/6 = x/8

(8/3)/6 = x/8

6x = 8 * 8/3

6x = 64/3

x = 32/9 = 3 5/9

3 5/9 cups of milk

Oil:
1/4 cup is to 6 people as x cups are to 8 people

(1/4)/6 = x/8

6x = 8 * 1/4

6x = 2

x = 2/6 = 1/3

1/3 cup of milk
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earnstyle [38]

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

5 0
3 years ago
Rhombus ABCD with vertices A(2, 6), B(6, 7),<br> C(5, 3), and D(1, 2): 180°
Korvikt [17]

Answer:

Step-by-step explanation:

Rule for the rotation of a point 180° about the origin is,

(x, y) → (-x, -y)

Therefore, images of the points after the rotation of 180° will be,

A(2, 6) → A'(-2, -6)

B(6, 7) → B'(-6, -7)

C(5, 3) → C'(-5, -3)

D(1, 2) → D'(-1, -2)

Now we can plot these points on the graph as attached.

6 0
3 years ago
PLEASE MATH HELP ( EASY )
Natalija [7]

Answer:

Step-by-step explanation:

28° into radians

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Divide 28 and 180 by 4 we get

= ( \frac{7\pi }{45})

Hope it helped :)

 

6 0
3 years ago
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qaws [65]

Answer:

(89.10+10.62)/18 =

(99.72)/18 =

= 5.54

Verification:

5.54*18 = 99.72

how much does each

person owe on average? $5.54

Step-by-step explanation:

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2 years ago
The length of a rectangular frame is 12 inches, and the width of the frame is 5
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Answer:

17 inches

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