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just olya [345]
3 years ago
14

A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

x + 2y ≤ 100 and x + 3y ≤ 400

Maximum profit = 6x + 5y.

Step-by-step explanation:

Let there be x number of small dishes and y number of large dishes to maximize the profit.

So, total profit is P = 6x + 5y .......... (1)

Now, the small dish uses 1 cup of sauce and 1 cup of cheese and the large dish uses 2 cups of sauce and 3 cups of cheese.

So, as per given conditions,  

x + 2y ≤ 100 ........ (1) and  

x + 3y ≤ 400 .......... (2)

Therefore, those are the constraints for the problem. (Answer)

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Iq scores are normally distributed with a mean of 100 and a standard deviation of 15 what is the probability that a randomly sel
a_sh-v [17]
So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:

z = x - mean/s.d.

where x is our I.Q. we are looking for

So we plug in our numbers and we get:

126-100/15 = 1.73333

Next we look at our z-score table for our P-value and I got 0.9582

Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get

1 - 0.9582 = 0.0418

Since they are asking for the probability, we multiply our P-value by 100, and we get 

0.0418 * 100 = 4.18%

And our answer is

4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
6 0
3 years ago
What is the value of the expression below? 3/8+(-4/5)+(-3/8)+5/4
Crazy boy [7]
It will help you!

=-17/40+-3/8+5/4

= -4/5+5/4

= 9/20 

And the answer is 9/20 or decimals (0.45)

4 0
3 years ago
Read 2 more answers
If |AB| / |DE|=7/5 then what is |AD| / |CD|?DE is parallel to AB
Dmitriy789 [7]

Answer: AD/CD = 2/5

Explanation:

Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)

Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,

AB/DE = BC/EC = AC/DC

From the information given,

AB/DE = 7/5

Thus,

AC/DC = 7/5

AD + CD = AC

(AD + CD)/DC = 7/5

AD/DC + CD/DC = 7/5

AD/DC + 1 = 7/5

AD/DC = 7/5 - 1

AD/DC = 2/5

AD/CD = 2/5

4 0
11 months ago
The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original n
muminat

Answer:

Original number is 47

Step-by-step explanation:

Given: The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121.

To find: the original number

Solution:

Let x denotes digit at ones place.

As the tens digit is three less than the units digit,

Digit at tens place = x-3

Original number = 10(x-3)+x=11x-30

When digits are reversed,

Reversed number = 10x+(x-3)=11x-3

As the sum of the reversed number and the original number is 121,

11x-30+11x-3=121\\22x-33=121\\22x=154\\x=\frac{154}{22}\\=7

So,

original number = 11x-30=11(7)-30=77-30=47

8 0
3 years ago
What is the slope of a line that passes through -8, -16 and 18, 5?
ddd [48]
Slope formula:

y2 - y1
_____
x2 - x1


5 + 16
_____
18 + 8


21
__
26

slope is 21/26
8 0
3 years ago
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