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svp [43]
3 years ago
7

Write a story problem using mixed numbers that need to be scaled up.

Mathematics
1 answer:
Rudik [331]3 years ago
7 0
[Insert generic name here] is trying to bake a yellow cake because [reasons]. This recipe will make one whole cake.

3\frac{1}{4}\ cups\ of\ flour\\ 2\frac{1}{2}\ teaspoons\ of\ baking\ soda\\ \frac{1}{2}\ teaspoon\ of\ salt \\ 1\frac{3}{4}\ cups\ of\ sugar \\ \frac{2}{3}\ cup\ of\ butter \\ 2\ eggs\\ 1\frac{1}{2}\ teaspoons\ of\ vanilla\ \\ 1\frac{1}{4}\ cups\ of\ milk

He wants to make three cakes instead of one. How much of each item should be used in the new (scaled-up) recipe?

3\frac{1}{4}*3=9\frac{3}{4}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cups\ of\ flour\\ 2\frac{1}{2}*2=4\frac{2}{2}=4+1=5\ \ \ \ \ teaspoons\ of\ baking\ soda\\ \frac{1}{2}*3=\frac{3}{2}=1\frac{1}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ teaspoons\ of\ salt \\ 1\frac{3}{4}*3=3\frac{9}{4}=3+2\frac{1}{4}=5\frac{1}{4}\ cups\ of\ sugar

\frac{2}{3}*3=\frac{6}{3}=2\ \ \ \ \ \ cups\ of\ butter\\ 2*3=6 \ \ \ \ \ \ \ \ \ \ \ \ eggs\\ 1\frac{1}{2}*3 = 3\frac{3}{2} = 4\frac{1}2\ teaspoons\ of\ vanilla\ \\ 1\frac{1}{4}*3=3\frac{3}{4}\ \ \ \ \ \ \ \ cups\ of\ milk

I don't know exactly how your teacher wants you to write out the work, but I have it pretty simple there. It's not like math is tailored to a specific process; any sort of reasonable work should do.

Good luck!
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Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c
Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation 4x^2+5x+3=2x^2-3x

2x^2+8x+3=0

On comparing with standard quadratic equation ax^2+bx+c

a = 2, b = 8 and c = 3

So roots of the equation will be x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581

(b) c^2-14=5c

c^2-5c-14=0

a = 1, b = -5 and c= -14

So c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855

7 0
3 years ago
You ask 200 randomly chosen students to name their favorite ice cream flavor. There are 1800 students in the school. Based on th
Kaylis [27]

Answer:

351

Step-by-step explanation:

Complete question :

Vanilla= 36

Chocolate=21

Strawberry=24

Chocolate Chip=39

SOLUTION:

39 chocolate chip to 200 students = x chocolate chip to 1800 students

39/200 = x / 1800

Solving for 'x'

(200)(x) = (39)(1800)

200x = 70200

x = 70200/200

x = 351

OR

39 out of 200 picked chocolate chip

therefore, 39/200 = 0.195 = 19.5%  ( 32.5% chose chocolate chip)

19.5% of 1800 = 0.195(1800) = 351 students

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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