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svp [43]
3 years ago
9

a recipe for cookies calls for 10 1/6 cups of sugar. krystal has already put in 4 2/3 cups. how many more cups does she need to

put in
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

5 1/2 cups

Step-by-step explanation:

10 1/6 = \frac{61}{6} cups

10 x 6 + 1

\frac{61}{6}

4 2/3 = \frac{14}{3} cups

4 x 3 + 2

\frac{14}{3}

Find a common denominator (6)

\frac{14}{3} = \frac{28}{6}

\frac{14}{3} · 2 = \frac{28}{6}

\frac{61}{6} - \frac{28}{6} = \frac{33}{6}

\frac{33}{6} or 5 1/2 cups

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In the lake, a sailboat casts a shadow of 4 yards. A buoy that is 2 feet tall casts a shadow of 1 foot. What is the height of th
morpeh [17]
First you would find that not all the units are the same in this problem, so you convert yards to feet. So 4 yards = 12 feet.

The proportion you would make would be x/12 = 2/1
7 0
2 years ago
Read 2 more answers
Brielle and Joshua are running a half marathon race, which is
Salsk061 [2.6K]

Answer and Explanation:

Brielle will run the marathon faster.

Work:

Brielle: 13.1/1.25=10.48*10=104.8 minutes

Joshua: 13.1/1.5=8.73...*18=157.2 minutes

Brielle finished in 104.8 minutes.

Joshua finished in 157.2 minutes.

Brielle finished the half marathon race by 52.5 minutes faster than Joshua.

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7 0
3 years ago
Solve for x. x + 4 = -12
Zina [86]

Answer:

x=-16

Step-by-step explanation:

Subtract 4 from both sides

x+4-4=-12-4

x=-16

8 0
3 years ago
Read 2 more answers
3-1/3n< 6;n>-9 What is n???
r-ruslan [8.4K]

Answer:

i don't understand your question, but i'll try to the best of my ability.

the answer to that is:

-8.33333333333

Step-by-step explanation:

let me break this down into a way you might understand.

1: 3-1=2

2: 2 divided by 3=0.66666666666.

3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.

if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.

you're welcome though, (i suppose..) and have a great day.

6 0
2 years ago
Wes works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate,
Dmitry [639]

Answer:

Correct answer: at 2 p.m. the population was 10,000

                          at 3 p.m. the population was 50,000

Step-by-step explanation:

At 1 p.m. population was 2,000

At 2 p.m. or after  first hour, the population of bacteria increases

in this way 2,000 · k  

At 3 p.m. or after second hour, the population of bacteria increases

2,000 · k²

At 4 p.m. or after third hour, the population of bacteria increases 2,000 · k³

2,000 · k³ = 250,000 =>  k³ = 250,000 / 2,000 = 125

k = ∛125 = 5  => k = 5

At 2 p.m. or after  first hour, the population of bacteria was 2,000 · 5 = 10,000

At 3 p.m. or after second hour, the population of bacteria was 2,000 · 5² =

= 2,000 · 25 = 50,000

God is with you!!!

6 0
3 years ago
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