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WITCHER [35]
3 years ago
12

A young sumo wrestler decided to go on a diet to gain weight rapidly. He gained weight at a rate of 5.5kg a month. After 11 mont

hs he weighed 140kg. Let W represent the sumo wrestlers weight in kg after t months
Mathematics
1 answer:
kondaur [170]3 years ago
3 0

Answer:

W(t)=5.5t+79.5.

Step-by-step explanation:

Please consider the complete question.

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).  

Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.

Now, we will use point-slope form of equation as:

y-y_1=m(x-x_1), where,

m = Slope

(x_1,y_1) = Given point on the line.

Upon substituting coordinates of point (11,140) in above formula, we will get:

y-140=5.5(x-11)

y-140=5.5x-60.5

y-140+140=5.5x-60.5+140

y=5.5x+79.5

Therefore, our required function would be W(t)=5.5t+79.5.

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olasank [31]

Answer:

Shirts = $7

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Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}

We use the formula of S and insert it into the other equation:

7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17

We know then that Shorts are $17 each.

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2 years ago
What Is 71898-92374?Will Be Brainlist
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Step-by-step explanation:

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3 years ago
If the area of a rectangle is 144 sq. in. and the length of one side is 18in. what is the length of the other side?
navik [9.2K]

Hello from MrBillDoesMath!

Answer:  The other side has a length of 8

Discussion:

Area of a rectangle = l * w ( length times width). In our case

Area = 144 = l * w = 18 * w =>

18 w = 144  =>

w = 144/18 = 8


Thank you,

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3 years ago
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stealth61 [152]

Answer:

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Step-by-step explanation:

The inequality function is as follows:

Let us assume the number of bananas acquired be b

And, the number of peaches acquired be p

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ANd, the cost of each peach be $1.50

Also the total would be $8

The possible values of banana is 0.5b

And, for peaches it would be 1.5p

So, the inequality function is

0.5b + 1.5p ≤ 8

7 0
3 years ago
Alpha company has assets of $602,000, liabilities of $251,000, and equity of $351,000. it buys office equipment on credit for $7
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As we know assets = liabilities + equity

In this case assets would be increased by $76,000 and the liabilities would be increased by $76,000

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3 years ago
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