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WINSTONCH [101]
3 years ago
15

For a school fundraiser Jeff sold large boxes of candy for three dollars each and small boxes of candy for two dollars each if y

ou sold 37 boxes in all for total of $96 how many more large boxes then small boxes did he sell
A. 7
B. 8
C. 8
D. 12
Mathematics
2 answers:
rodikova [14]3 years ago
8 0

Answer:  The correct option is

(A) 7.

Step-by-step explanation:  Given that for a school fundraiser, Jeff sold large boxes of candy for three dollars each and small boxes of candy for two dollars each.

Also, Jeff sold 37 boxes in all for total of $96.

We are to find the number of large boxes more than that of small boxes.

Let x and y represents the number of large boxes and small boxes respectively.

Then, according to the given information, we have

x+y=37~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+2y=96~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (i) by 2 and subtracting from equation (ii), we get

(3x+2y)-(2x+2y)=96-37\times2\\\\\Rightarrow x=96-74\\\\\Rightarrow x=22.

From equation (i), we get

22+y=37\\\\\Rightarrow y=37-22\\\\\Rightarrow y=15.

We have,

x-y=22-15=7.

Thus, there are 7 more large boxes than small boxes.

Option (A) is CORRECT.

Nookie1986 [14]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle
anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here,                             x^2 + 8x + 15

length of rectangle  = ----------------------

                                            x + 3

Use synthetic division to perform the above.  The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3      /  1        8        15

                    -3        -15

        -------------------------

            1         5        0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic.  This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices.  Thank you.

6 0
3 years ago
3. The volume V of a cone is given by the
hammer [34]

Answer:

Step-by-step explanation:

The most appropriate choice of volume of a cone is given by-

h=\frac{3v}{\pi r^{2} }

What is volume of a cone?

The volume of a cone is the amount of space occupied by the cone.

Volume of a cone is given by the formula

V=\frac{1}{3} \pi r^{2} h

Where, r is the radius of cone and h is the height of the cone.

Here,

V=\frac{1}{3} \pi r^{2} h\\3V=\pi r^2h\\h=\frac{3V}{\pi r^2}

To learn more about volume of a cone, refer to the link:

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Answer:

Step-by-step explanation:

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7 0
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360 square inches

Step-by-step explanation:

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

8+8-4 = 12

12+ n = 3n-2n

3n-2n

12+n3n-2n

subtract n on both sides

12=0n

This makes it no solution  

8 0
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