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3 years ago

What is the answer to the problem

1 answer:

5 0

The question is:
A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour 1 cup of suger and 2 cups of chocolate chips how much of each ingredient should be used to make 2 dozen cookies?

find ratio
for 3 dozen batches, you need 3 cups of flour
so dozen of batches=number of cups of flour

then 3 dozen batches is 1 cup of sugar
so every dozen batches is 1/3 cup sugar

then 3 dozen batches is 2 cups choc chips
so every dozen is 2/3 cups choc chips

for 2 batches
that is 2 cup of flour
2/3 cup of sugar
and 4/3 cup chocolate chips

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At a high school 7 student volunteer for a committtee how many different 5 person committees can be chosen

ki77a [65]

Total number of volunteer students for a committee = 7
Number of committee = 5

Number of ways of selecting the committee from the 7 volunteers = 7C5 = 7!/(5!*2!) = 21 ways.

There are 21 ways in which the 5-committee member can be selected from the 7 volunteers.

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3 years ago

What is the probability of getting either a sum of 66 or at least one 66 in the roll of a pair of dice?

Sindrei [870]

So I'm hoping you mean 6, or else the probability is 0. So the possible ways of getting a sum of 6 is 1&5, 2&4, 3&3, 4&2, 5&1. There are 36 different ways of rolling the dice, so divide the 5 possible ways by 36. Then, we need to add the possibility of getting at least one 6 in the roll. It doesn't matter what the other die is, so for each die, the probability is 1/6, and for both, the probability is 2/6. Add this to the probability of getting a sum of 6, and you get your answer.

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3 years ago

A number r is more than 0 or less than or equal to ‐8

Butoxors [25]

Answer

-8 $\geq$ r > 0

Step-by-step explanation:

you know that r is less than or equal to -8, so you write that, and then you know that r is also greater than 0, so then you add that to it, and then you have the answer. r will be in the middle because it is the range of what are can be.

7 0

3 years ago

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00

10x + 15y = 333

and we have the linear system

which can be written in matrix form as

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)$

The solution would be given by

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)$

We have

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)$

hence

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)$

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0

3 years ago

Meredith bought a book that cost 18 at a discount of 16% what did she pay for the book

s344n2d4d5 [400]

I think it is $15.12

I hope that helps!!!!!!

: )

5 0

3 years ago

Read 2 more answers