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Ratling [72]
2 years ago
5

An employee of a grocery store is placing an order for soda. There are 8 varieties of soda and they are sold in cases. Each case

contains all the same variety of soda. The store will order 50 cases total. a. How many ways are there to place the order?
b. How many ways are there to place the order if she orders at least 3 of each variety?

c. How many ways are there to place the order if she does not order more than 20 cases of Coke?

d. How many ways are there to place the order if she does not order more than 25 of any single

variety?

e. How many ways are there to place the order if she does not order more than 20 of any single

variety?
Mathematics
1 answer:
Maksim231197 [3]2 years ago
3 0

Answer:

Hey the answer is e i think

Step-by-step explanation:

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A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
dusya [7]
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190

Answer: first number is 190
3 0
2 years ago
The point (1, 4) lies on a circle that is centered at (1, 1). Which statements are correct? Check all that apply.
Semenov [28]

the circle's radius is 3 units

the point (- 2, 1 ) lies on the circle

the equation of a circle in standard form is

(x - a)² + (y - b)² = r²

where (a, b) are the coordinates of the centre and r is the radius

the radius is the distance from the centre to the point (1, 4 ) on the circle

using (1, 4) and (1,1) in the distance formula, then

r = √(1 - 1 )² + (1 - 4)² = √(0 + 9) =√9 = 3 ⇒ r² = 9

(x - 1 )² + (y - 1 )² = 9 ← equation of circle

substitute the given points into the equation and if equation is true then they lie on the circle

(- 2, 1 ) : (- 2 - 1 )² + (1 - 1 )² = 9 + 0 = 9 ← true

Hence (- 2, 1 ) lies on the circle

(3, 3 ) : (3 - 1 )² + (3 - 1 )² = 4 + 4 = 8 ≠ 9

(3, 3 ) does not lie on the circle



6 0
2 years ago
Read 2 more answers
Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent er
antoniya [11.8K]

Solution: We are given:

Predicted Sales by Sameera =38

Actual Sales by Sameera =28

Now to find the Percent error, we have to use the below formula:

Percent-Error= \frac{|Predicted-value - Actual-value|}{Actual-value} \times 100 \%

                       =\frac{|38-28|}{28} \times 100 \%

                       =\frac{10}{28}\times 100 \%

                       =35.71 \%

Therefore, the percent error is 35.71 \%      

8 0
2 years ago
Read 2 more answers
The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are sh
Dennis_Churaev [7]
The difference in the mean rainfall is given by 19.7 - 19.3 = 0.5

The difference in the <span>mean rainfall is approximately 0.5/4.6 = 0.087 = 8.7 percent of the mean absolute deviation for last week and is 0.5/5.2 = 0.077 = 7.7 percent of the mean absolute deviation for this week.

Therefore, the difference in the </span><span>mean rainfall is approximately what percent of the mean absolute deviation 8% of the mean absolute deviation of the data sets.</span>
4 0
2 years ago
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Marissa has twice as much money as Frank. Christina has $20 more than Marissa. If Christina has $100, how much money does Frank
qwelly [4]

Answer:

a. Take a grid that shows represents the amount of money Frank has,

Say F,

( shown below ),

b. Since, Marissa has twice as much money as Frank,

So, the amount Marissa has = 2F

If M represents the amount Marissa has,

M = 2F

c. Now, Christina has $20 more than Marissa,

Add 20 to the grid M

d.  The below diagram provides enough information to determine the value of the variable m

e. The amount Christina has = M + 20 = 2F + 20

According to the question,

2F + 20 = 100

2F = 80

F = 40

Hence, the amount frank has = $ 40,

Amount Marissa has = 2(40) = $ 80,

3 0
2 years ago
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