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sweet-ann [11.9K]
2 years ago
7

A new club sent out 294 coupons to boost sales for next year's memberships. They provided 6 times as many to potential members t

han to existing members. How many coupons did they send to existing members?
Mathematics
2 answers:
baherus [9]2 years ago
6 0

Answer:

42

Step-by-step explanation:

6 times as many means that they sent out 6 to 1. Anytime I see x times as many i always add 1. The formula for this would be x+1. x=6 6+1=7. There were 294 coupons sent out so 294/7=42. 42 equals the amount of existing members there are. I hope you understand.

andriy [413]2 years ago
3 0
The answer to this equation is 42 coupons.


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Solve the following systems of equations 2a+4b+c=5 ; a-4b=-6 ; 2b+c=7.
SOVA2 [1]

Answer:

a = -2

b = 1

c = 5

Step-by-step explanation:

Given:

2a + 4b + c = 5 ............(1)

a - 4b = - 6

or

a = 4b - 6 .............(2)

2b + c = 7

or

c = 7 - 2b   ...........(3)

substituting 2 and 3 in  1, we get

2(4b - 6 ) + 4b + (7 - 2b) = 5

or

8b - 12 + 4b + 7 - 2b = 5

or

10b - 5 = 5

or

b = 1

substituting b in 2, we get

a = 4(1) - 6

or

a = -2

substituting b in 3, we get

c = 7 - 2(1)

or

c = 5

thus,

a = -2

b = 1

c = 5

8 0
3 years ago
A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

                                                      = x²y cubic feet

1000 = x²y

y = \frac{1000}{x^2} -------(1)

Material used in the prism = Surface area of the rectangular prism

                                            = 2(lb + bh + hl)

Here, h =  height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

                                  S = 2(x² + 2xy) - x²

                                  S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + 2x(\frac{1000}{x^{2} })

  = x² + \frac{2000}{x}

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - \frac{2000}{x^{2} }

2x - \frac{2000}{x^{2} } = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = \frac{1000}{(10)^2}

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0
3 years ago
Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
tia_tia [17]
LWH-LWH
=12*20*5-4*2*0.5
=1200-32
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Find the missing length of each right triangle
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Answer:

15.8 mi

Step-by-step explanation:

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If I'm not mistaking parallel lines never touch
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