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lys-0071 [83]
3 years ago
9

This recipe makes 5 portions of fajitas. Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 50 g of spice mix and 16

tortillas. How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe:
Serves 5
400 g
chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas


?g chicken
? g peppers
? g onion
? g spice mix tortillas
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

Answer:

Chicken = 500 g

Peppers = 1 kg

Onions = 10 g

Spice mix = 10 g

Tortillas = 14

Step-by-step explanation:

5 × 3 = 15

What the recipe indicates she needs

400 × 3 = 1200

600 × 3 = 1800

70 × 3 = 210

20 × 3 = 60

10 × 3 = 30

Subtract what she needs from what she has

1200 - 700 =  500 g

1800 - 800 = 1000 g

210 - 200 = 10 g

60 - 50 = 10 g

30 - 16 = 14 tortillas

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the pole is 24 feet tall

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This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.
Ghella [55]

The area of the given shape is 220.24 square cm.

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

5 0
4 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

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  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
The diameter of a circle is 14 in. Find its area in terms of <br> π<br> π.
maksim [4K]

Answer:

49π in²

Step-by-step explanation:

Step 1: Find the radius.

  • To find radius given diameter, just divide the diameter by 2: \frac{14}{2}
  • 14/2 = 7, so the radius is 7.

Step 2: Apply area of circle formula.

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Step 3: Simplify.

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Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².

4 0
3 years ago
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