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Levart [38]
3 years ago
6

말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explai

n the reasoning for your answer. (4 pts.)​
Mathematics
1 answer:
morpeh [17]3 years ago
6 0

Answer:

38

Step-by-step explanation:

We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.

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Mailyn loves cookies. She can eat 32 in an hour. Her brother Juan, however, needs 3 hours to eat the same amount of cookies. How
bezimeni [28]

we know that

1) Mailyn can eat 32 cookies in an hour

1 hour  is equal to 60 minutes

<u>Find how cookies eats Mailyn in one minute</u>

by proportion

\frac{32}{60} \frac{cookies}{minutes}= \frac{x}{1} \frac{cookie}{minutes} \\\\ x=32/60\\x=0.53 \ cookies

2) Juan needs 3 hours to eat 32 cookies

<u>Find how cookies eats Juan in one minute</u>

by proportion

\frac{32}{180} \frac{cookies}{minutes}= \frac{x}{1} \frac{cookie}{minutes} \\\\x=32/180 \\x=0.18\ cookies

<u>3) Find how long will it take them to eat 40 cookies together</u>

we know that

Maylin and Juan eats in one minute together ---------> (0.53+0.18)=0.71 cookies

so

by proportion

\frac{0.71}{1} \frac{cookies}{minutes}= \frac{40}{x} \frac{cookie}{minutes} \\\\0.71*x=40\\x=56.34 \ minutes

therefore

<u>the answer is</u>

56.34\ minutes

4 0
3 years ago
Consider a political discussion group consisting of 5 ​Democrats, 8 ​Republicans, and 5 Independents. Suppose that two group mem
Levart [38]

Answer:

4/9 and 5/18

Step-by-step explanation:

Total: 5+8+5=18

the probability of selecting a Republican is 8/18=4/9

the probability of selecting a Democrat is 5/18

6 0
4 years ago
Write the pair of fractions as a pair of fractions with a common denominator of 3/4 and 2/3
garik1379 [7]

Answer:

3/4 = 9/12  2/3 = 8/12

Step-by-step explanation:

To find the common denominator you multiply by the opposite ones

3   •   3      9

__       =    __

4   •   3      12


2   •   4     8

_         =  ___

3   •   4      12

7 0
3 years ago
How many solutions does the following system have?
ale4655 [162]

Answer:

Option D. No solutions

Step-by-step explanation:

we have

3x+2y=1 -----> equation A

-9x-6y=3 ----> equation B

Multiply by -3 both sides equation A

-3(3x+2y)=-3(1)

-9x-6y=-3 -----> equation C

Compare equation B and equation C

Equation B and equation C are parallel lines with different y-intercept

<u><em>Verify</em></u>

For x=0

<em>Equation C</em>

-9(0)-6y=-3 ----->y=0.5

The y-intercept is the point (0,0.5)

Equation B

-9(0)-6y=3 ----->y=-0.5

The y-intercept is the point (0,-0.5)

therefore

Lines do not intersect

The system has no solution

see the attached figure to better understand the problem

6 0
3 years ago
Which expression is equivalent to sec^2xcot^2x?
Lady_Fox [76]
\sec x=\dfrac{1}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}


\sec^2x\cot^2x=\dfrac{1}{\cos^2x}\cdot\dfrac{\cos^2x}{\sin^2x}=\dfrac{\cos^2x}{\cos^2x\sin^2x}=\dfrac{1}{\sin^2x}
8 0
3 years ago
Read 2 more answers
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