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Alika [10]
3 years ago
11

Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

The cafeteria provides three meals per day.

<u>Reason 1</u>

Yes, they vary directly  

As number of days increases ,Total number of meals i.e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

......................

.........................

increases.

Total number of Meals = k×Number of days

But there is another possibility also

<u>Reason 2</u>

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

.....................

.....................

As you can see from the above expression On each day number of meals is  

constant.

So we can say that ,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.




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Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

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x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9  five-dollar bills

5 0
2 years ago
Please help me with 10
romanna [79]

Answer:

yes the answer is he does make sense

3 0
2 years ago
Please help me.
mart [117]

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5 0
3 years ago
Identify the sampling designs that use voluntary response sampling. Check all that apply.
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A voluntary response sample is defined as a type of sample made up of self-chosen participants. These participants volunteer to take part in different research studies to share their opinions on topics that interest them. A voluntary response sample is made up of persons who volunteer to take research surveys.

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2 years ago
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You have a system of equations \left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right..

1. Substitude right side of second equation into the left side of the first equation: -6x+6=-x^2+2x-9.

2. Solve this equation:
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