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amm1812
2 years ago
12

A rectangle has an AREA of 36in2​ and the height measures 9 in. What is the base measurement?

Mathematics
1 answer:
RSB [31]2 years ago
7 0
Area =bh
36in2=b(9)
——— ——
9 9

36
—— =4
9

Base= 4
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Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
Dafna11 [192]
Answer:

<span>Robbie: 6
Cameron: 9
Louis: 12
Tom: 15
Charlie</span>: 18

Explanation:


1) Assume that Rachel sold all the cones: 60

2) Call x the amount that Robbie bought and d the constant increase on the purchse.

3) That means that the number of cones bought by each one is:

<span>Robbie:            x
Cameron:         x + d
Louis:               x + d + d = x + 2d
Tom:                 x + 2d + d = x + 3d
Charlie</span>             x + 3d + d = x + 4d

The sum of that is: x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 5x + 10d = 60


5x + 10d  = 60 may be simplified by dividing each side by 5 =>  x + 2d = 12.

Equation (1) x + 2d = 12

4) <span>Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis, Tom and Charlie

=> x + (x + d) = [3/7] [ (x + 2d) + (x + 3d) + (x + 4d) ]

=> 2x + d = [3/7] (3x + 9d)

=> 7(2x + d) = 3 (3x + 9d)

=> 14x + 7d = 9x + 27d

=> 14x - 9x = 27d - 7d

=> 5x = 10d

=> x = 2d

Equation (2) x = 2d

5) Now you just have to solve this simple system of equations:

x + 2d = 12

x = 2d

Subitituing x for 2d in the first equation: x + x = 12 => 2x = 12 => x = 6

Now replace x = 6 in any  of the two equations and you get the value of d.

For example, from x = 2d => d = x  / 2 = 6 /2 = 3.

6) Finally, calcualte the number of cones of each:

</span>                                                                           Result
<span><span>Robbie:            x                                                6
Cameron:         x + d                                          6 + 3 = 9
Louis:               x + d + d = x + 2d                      9 + 3 = 12
Tom:                 x + 2d + d = x + 3d                   12 + 3 = 15
Charlie</span>             x + 3d + d = x + 4d</span>                    15 + 3 = 18
                                                                -----------------------------------------
Total                                                                   6 + 9 + 12 + 15 + 18 = 60

8 0
3 years ago
Can someone help me with question 15 plsss
strojnjashka [21]

The errors are ...

... The box ends and the minimum are in the wrong places.

_____

The data sorted in order is 1, 6, 26, 27, 30, 31, 33, 34, 59.

The minimum is 1, not 0.

The first quartile is the average of 6 and 26, which is 16, not 10.

The median is 30, as shown.

The third quartile is the average of 33 and 34, which is 33.5, not 35.

The maximum is 59, as shown.

6 0
4 years ago
What is 2a・420 divided by 3z when z=34 and a=56
Maksim231197 [3]

461.176470588

Explanation:

2×56=112

112×420=47040

---------------------------------

3×34=102

---------------------------------

47040÷102=461.176470588

7 0
3 years ago
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serg [7]
Make bototm number same
3/10 times 13/13=39/130
4/13 times 10/10=40/130

A.
39/130 and 40/130
they are 1/130 apart


B.
a ratioal number between
39/130=390/1300
40/130=400/1300
between 390/1300 and 400/1300
any number from 391/1300 to 399/1300 example 395/1300


3 0
4 years ago
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
noname [10]
B. The answer is b because -2m and -5m together equal -7m-8, and on the other side of the equal sign 3+-7+m equal -4+m
4 0
4 years ago
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