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Misha Larkins [42]
2 years ago
5

Fredrick and Kate have 1713 cups of flour. They want to make loaves of banana bread for a bake sale. Fredrick has a recipe for b

anana bread that calls for 158 cups of flour. Kate has a recipe that calls for 134 cups of flour. Select all the statements that are true about the recipes.
Mathematics
1 answer:
Mariana [72]2 years ago
5 0

Answer:

Fredrick's recipe will make 10 whole loaves.

There will be less flour left over if Frederick's recipe is used.

Step-by-step explanation:

Fredrick and Kate have 17 1/3 cups of flour. They want to make loaves of banana bread for a bake sale. Fredrick has a recipe for banana bread that calls for 1 5/8 cups of flour. Kate has a recipe that calls for 1 3/4 cups of flour. Select all the statements that are true about the recipes.

1. Fredrick's recipe will make 10 whole loaves.

2. Kate's recipe will make 11 whole loaves.

3. There will be less flour left over if Frederick's recipe is used.

4. There will be less flour left over if Kate's recipe is used.

5. More loaves of bread can be made using Frederick's recipe than Kate's recipe.

Solution:

Total cups of flour = 17 1/3

Fredrick recipe = 1 5/8 cups of flour

Kate = 1 3/4 cups of flour

Number of banana bread made with Fredrick's recipe = Total flour / flour per Fredrick's recipe

= 17 1/3 ÷ 1 5/8

= 52/3 ÷ 13/8

=52/3 × 8/13

= 416 / 39

= 10.67 loaves of banana bread

Number of banana bread made with Kate's recipe = Total flour / flour per Kate's recipe

= 17 1/3 ÷ 1 3/4

= 52/3 ÷ 7/4

= 52/3 × 4/7

= 216 / 21

= 10.29 loaves of banana bread

The true statements are:

Fredrick's recipe will make 10 whole loaves.

There will be less flour left over if Frederick's recipe is used

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Answer:

a. Alice

b. Briana

c. 0.51 minutes

Step-by-step explanation:

a. Alice formula is valid for any t > 0 minutes, but Briana formula is only valid for

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2t > 1

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b. They finish when their covered distance is equal to 5 kilometers. For Alice:

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t = 5*4 = 20 minutes

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2t - 1 = 5²

2t = 25 + 1

t = 26/2

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c. They are side by side when they have covered the same distance, that is:

t/4 = √(2t - 1)

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t² = 16*(2t - 1)

t² = 32t - 16

t² - 32t + 16 = 0

Using quadratic formula:

t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

t = \frac{32 \pm \sqrt{-32^2 - 4(1)(16)}}{2(1)}

t = \frac{32 \pm 30.98}{2}

t_1 = \frac{32 + 30.98}{2}

t_1 = 31.49

t_2 = \frac{32 - 30.98}{2}

t_2 = 0.51

Only the second answer has sense for this problem because the race already finished before they spent 31.49 minutes in it.

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Step-by-step explanation:

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