MATHEMATICS MIDDLE SCHOOL

Lois made a dish with cups of pasta. One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lois made?A. 31 2/3

B. 4 2/9

C. 9

D. 24

Answers

Answer 1

Answer:

Answer:

A.) 31 2/3

Step-by-step explanation:

Answer 2

Answer: The answer would be A, 31 2/3

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A catering service offers 9 appetizers 8 main courses and 3 desserts. A customer is to select 6 appetizers 5 main courses and 2 desserts for a banquet. In how many ways can this be done?

Answers

Answer: 14112

========================================================

Explanation:

We'll be using the n C r combination function. To make the notation a bit easier to deal with, I will write "C(n,r)" instead of "n C r".

The formula is

C(n,r) = (n!)/(r!*(n-r)!)

where the exclamation marks represent factorials.

A factorial is where you start with a positive integer, and count down to 1 multiplying all along the way.

Examples:

5! = 5*4*3*2*1

8! = 8*7*6*5*4*3*2*1 = 120

Note how the string "5*4*3*2*1" is in both 5! and 8!

We can say 8! = 8*7*6*5!

Because we can replace the "5!" at the end with "5*4*3*2*1" later if we wanted. This strategy is used to help find a shortcut to simplification.

--------------------------

We have n = 9 appetizers and r = 6 items we can select from this pool.

C(n,r) = (n!)/(r!*(n-r)!)

C(9,6) = (9!)/(6!*(9-6)!)

C(9,6) = (9!)/(6!*3!)

C(9,6) = (9*8*7*6!)/(6!*3*2*1)

C(9,6) = (9*8*7)/(3*2*1) .... the "6!" terms canceled out

C(9,6) = 504/6

C(9,6) = 84

There are 84 ways to choose six appetizers from the pool of nine available

---------------------------

Repeat those steps for the main courses. Use n = 8 and r = 5 this time.

C(n,r) = (n!)/(r!(n-r)!)

C(8,5) = (8!)/(5!*(8-5)!)

C(8,5) = (8!)/(5!*3!)

C(8,5) = (8*7*6*5!)/(5!*3*2*1)

C(8,5) = (8*7*6)/(3*2*1)

C(8,5) = (336)/(6)

C(8,5) = 56

There are 56 ways to choose five main course meals from the pool of eight available

--------------------------

Then do the same for the desserts. Use n = 3 and r = 2.

C(n,r) = (n!)/(r!(n-r)!)

C(3,2) = (3!)/(2!*(3-2)!)

C(3,2) = (3!)/(2!*1!)

C(3,2) = (3*2*1)/(2*1*1)

C(3,2) = 6/3

C(3,2) = 3

There are 3 ways to choose two desserts from the pool of three available

---------------------------

The last step is to multiply all these results:

84*56*3 = 14112

This is the number of ways to select all of the items given the restrictions listed. The order does not matter.

What is the awnser to this question take 99.03 Subtract 48.8 Multiply by 9.6 add 42.7

Answers

99.03-48.8=50.23. 50.23 times 9.6 =482.208. 482.208 + 42.7=524.908. Final answer: 524.908

Answer:

-326.75

Step-by-step explanation:

99.03 Subtract 48.8 Multiply by 9.6 add 42.7

I an confused need help on number 6

Answers

I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.

I'm pretty sure that by the time you reach this problem, you've learned to find
theequation of a line that passes through two given points. You have twopoints: (2, 100) and (5, 205). The equation of the line through themis [ y = 35x + 30 ].

6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)

7). The cost per month is $35. (The slope of the line.)

8). We already did that, up above. [ y = 35x + 30 ].

9). 'x' in the equation is the number of months.
There are 12 months in one year.

y = 35(12) + 30 = $450

If I pay 120 a week for child care how much do I pay a year

Answers

Answer:

$6240

Step-by-step explanation:

120 * 52 weeks = $6240

Answer:

$6240

Step-by-step explanation:

You multiply your weekly salary by the number of weeks in a year(52)

Hope this helps!

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Given the equation, y= ; x-4, what is the slope and the y-intercept?Om= 4 and be
-Im-1
1
Om=-4 and b=
3
Om=
and b=4
3
Om=
11/ 을
and b = -4
w
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Answers

Answer: Slope is 1 because if we have x by itself, we assume it is only one.

y-intercept because according to the slope intercept formula, (y=mx+b), it is in the correct spot.

Looking around a farm, the number of chickens is four times the number of pigs. If there are a total of 48 legs between the chickens and the pigs, how many pigs are there on the farm?