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My name is Ann [436]
4 years ago
14

Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60%, percent of the profit because the lem

onade stand was his idea. They made a profit of $25. How much money did matthew make?
Mathematics
2 answers:
DedPeter [7]4 years ago
6 0
60% of $25 = (0.6) x ($25) = $15. Matthew got $15 and Luke got $10. Moses then showed then how to invest it in real estate and mutual funds.
Svetlanka [38]4 years ago
3 0
Matthew made $15


Matthew 60% + Luke 40%= Profit 100%


if profit is $25; 60% will be: 0.60* $25=$15 ; Matthew's share 
                       40% will be:  0.40* $25 =10 ; Luke share         
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Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h
Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

\bf \bar x=\frac{5+17+12+21+29}{5}=16.8

The standard deviation is

\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0
3 years ago
Write an equation for the line that has a slope -8/9 and goes through the point (-7, 7)
Jobisdone [24]

Answer:

y = (-8/9)x + 0.77777

Step-by-step explanation:

We already know the slope, so the only thing left to find is the y-intercept.

To find the y-intercept, we can <u>plug in the slope and point to the slope-intercept form equation</u> (y = mx+b, where m=slope and b=y-int.)

y   =     m *  x    + b

(7) = (-8/9)*(-7)   + b

<u>Now, just solve for b!</u>

(7) = (-8/9)*(-7)   + b

7 = 56/9 + b

7 - (56/9) = b

b = 0.777777 (repeating decimal, usually signified by a little line above the 7)

so now we just <u>plug in the slope and y-intercept we found into y = mx + b.</u>

y = mx + b

y = (-8/9)x + 0.77777

5 0
3 years ago
Read 2 more answers
What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and
motikmotik

Answer:

1) Distribute 1.2 to 6.3 and -7x

2)Combine 3.5 and 7.56

3)Subtract 11.06 from both sides

Step-by-step explanation:

3.5 + 1.2(6.3 - 7x) = 9.38

Distribute 1.2 to 6.3 and -7x

3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38

        3.5 + 7.56 - 8.4x = 9.38

Combine 3.5 and 7.56

11.06 - 8.4x = 9.38

Subtract 11.06 from both sides

11.06 - 8.4x -11.06 = 9.38 - 11.06

                    -8.4x = -1.68

To find solution:

Divide both sides by (-8.4)

-8.4x/-8.4 = -1.68/-8.4

 x = 0.02

8 0
4 years ago
Read 2 more answers
The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function
blondinia [14]
⭐Hola User_______________

⭐Here is your Answer. ...!!

_______________________

↪Actually welcome to the concept of the Graphs ..

↪Basically the given half graph is a parabolic graph of equation

↪y^2 = 4ax ...

↪thus the 3 graph option is the completion of the graph in the question ..

↪Option d.)

_________________________
7 0
3 years ago
Read 2 more answers
Pllllllease help me asap
marishachu [46]

Answer & Step-by-step explanation:

When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

slope=\frac{y_2-y_1}{x_2-x_1}

Now, let's use this equation to solve for the rate of change of each question.

<u>Problem 1:</u>

Slope=\frac{2-\frac{4}{3}}{0-(-1)}\\\\Slope=\frac{\frac{2}{3}}{1}\\\\Slope=\frac{2}{3}

<em>The rate of change of this equation is 2/3</em>

<u>Problem 2:</u>

<u></u>Slope=\frac{4-2}{1-0}\\\\Slope=\frac{2}{1}\\\\Slope=2<u></u>

<em>The rate of change for this equation is 2</em>

<u>Problem 3:</u>

<u></u>Slope=\frac{10-4}{2-1}\\\\Slope=\frac{6}{1}\\\\Slope=6<u></u>

<em>The rate of change for this equation is 6</em>

4 0
3 years ago
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