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miv72 [106K]
2 years ago
7

Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly

membership fee. The equation y=60x+30
y=60x+30 represents what Health Club B charges. Health Club A charges a $50 sign-up fee and $27 per month.

Mathematics
1 answer:
Lisa [10]2 years ago
6 0

Answer is Healthclub A costs $33 less in monthly fees than Healthclub B

The number next to the “x” is your rate.

So Healthclub A charges $33 less than B


A charges 27 monthly fee

B charges 60 monthly fee


60-27=33

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Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens
LiRa [457]

Answer:

a.V(x)=x(10-2x)(6-2x)

b.S(x)=4(15-x^2)

Step-by-step explanation:

Dimensions of rectangular piece of cardboard=10\times 6

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

a.

Volume of box=l\times b\times h

Substitute the values in the formula

Volume of box=x(10-2x)(6-2x)

V(x)=x(10-2x)(6-2x)

b.Surface area of box=2(b+l)h+lb

Because the box has no lid

Substitute the values in the formula

Surface area of box=2(10-2x+6-2x)x+(10-2x)(6-2x)

Surface area of box=2(16-4x)x+60-20x-12x+4x^2

Surface area of box=32x-8x^2+60-32x+4x^2

Surface area of box=60-4x^2=4(15-x^2)

Surface area of box, S(x)=4(15-x^2)

4 0
2 years ago
Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minu
joja [24]

Shanice's rate: 93 / 1.5 = 62 miles per hour

she is 10 miles slower than twice the speed of Brandon

62 +10 = 72

72/2 = 36

 Brandon is driving 36 miles per hour

3 0
3 years ago
A car used 1/ 64 of a gallon of gas to drive 1 4of a mile. At this rate, how many miles can the car travel using 1 gallon of gas
Dovator [93]

Answer: 16 miles

Step-by-step explanation:

The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:

1/64 gallons            :              1/4 miles

1 gallon                   :                  x miles

Cross multiply:

1/64x = 1/4

x = 1/4 ÷ 1/64

= 1/4 * 64/1

= 16 miles

On one gallon of gas, the car can travel 16 miles.

5 0
3 years ago
What is the difference? x+5/x+2-x+1/x2+2x
Mrac [35]

Question

x+5/x+2 - x+1/x²+2x

Answer:

= (x² - 4x - 1)/[x (x+2)]

= (x² - 4x - 1)/[x² + 2x]

Step-by-step explanation:

x + 5/x + 2 - x + 1/x² + 2x

We factorise the second denominator to give us :

x + 5/x + 2 - x + 1/x(x + 2)

We find the L.C.M of both denominators which is x(x+2).

[x(x + 5)-(x + 1)] / (x (x + 2))

Expand the bracket

=[x² +5x - x -1] / [x (x + 2)]

=(x² - 4x - 1) / [x (x + 2)]

= (x² - 4x - 1)/ [x (x + 2)]

= (x² - 4x - 1) / [x² + 2x]

6 0
3 years ago
Hurry!!!Between which two values would 75% of the data represented on a box plot lie? Check all that apply.
sp2606 [1]
 the answers are <span>the lower quartile and the maximum and The minimum and the upper quartile.</span>
4 0
3 years ago
Read 2 more answers
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