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jolli1 [7]
3 years ago
9

Rachel has 8 Boston crème donuts and 4 glazed donuts to put in boxes. She wants each box to contain

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

2 glazed for every 4 Boston creme

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What is the equation of a line that is parallel to  −3x+4y=4 and passes through the point (4,0)?
Genrish500 [490]
So you have to first put put the equation in slope-intercept form.
-3x+4y=4
+3x      +3x
_______________
4y=4+3x
then you divide 4 by 4 and then divide 3x by 4 and you should get y=1+3/4x
then you plug in x and only x so that you can find y and then do the same once you find y 
y=1+ (4)3/4
y= 1+3
y=4
then plug in y and solve for x
4= 1+ 3/4x
subtract 1 from both sides
3=3/4x
divide both sides by 3/4
and x=4 
so then you find b and put it all in a equation.

3 0
3 years ago
A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers
icang [17]

Answer:

\huge\boxed{14\ \text{and}\ 7}

Step-by-step explanation:

n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right

\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}

\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}

8 0
3 years ago
What is the gcf of 24 30 42
olga55 [171]

GCF(24, 30, 42) = 6 I think it is.

 

6 0
3 years ago
Read 2 more answers
Consider a total of 1,000 people. If it was said that within 1 deviation (of the mean) of all people like MATH 123, how many of
Lesechka [4]

Answer:

680 students

Step-by-step explanation:

The 68 - 95 - 99.7  rule (empirical rule) states that 68% of the population lies within one standard deviation of the mean,  95% of the population lies within two standard deviations and 95% of the population lies within three standard deviations.

Hence since it was said that within 1 deviation (of the mean) of all people like MATH 123, therefore the number of people that like MATH 123 is:

number of people that like MATH 123 = 68% of the population

number of people that like MATH 123 = 0.68 * 1000

number of people that like MATH 123 = 680 students

3 0
3 years ago
If r(x) = 2x^2 – 5x + 1, find r(x + 2)
quester [9]

Step-by-step explanation:

1 Expand by distributing terms.

rx+r×2

2 Regroup terms.

rx+2r

3 0
3 years ago
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