1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Debora [2.8K]
3 years ago
9

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.55.55

, point, 5 kilograms per month. After 111111 months, he weighed 140140140 kilograms. Let WWW represent the sumo wrestler's weight (in kilograms) after ttt months. Complete the equation for the relationship between the weight and number of months.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

The equation for the relationship between the weight and number of months is W(t)= 5.5t+79.5

Step-by-step explanation:

we know that

A linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)

or say b is the actual weight of the wrestler.

In this problem

m=5.5 kg/month

Let

W ⇒ the sumo wrestler's weight in kg (dependent variable)

t ⇒ the time in months (independent variable)

The linear equation is equal to

W(t)=5.5t+b

where

b is the actual weight when he started the diet.

Now Given

W = 140 kg

t = 11 months

substitute in the linear equation to find the value of b

140 = 5.5\times11 +b\\140 = 60.5+b\\b = 140-60.5\\b = 79.5\ kg

W(t)= 5.5t+79.5

Hence,The equation for the relationship between the weight and number of months is W(t)= 5.5t+79.5

You might be interested in
Maggie drew triangle and then triangle . Triangle is congruent to triangle only if ∠ is equal to what value?
Phantasy [73]

Answer:

Angle ABE = 58

Step-by-step explanation:

This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).

7 0
2 years ago
Please help me with these. These are so hard.<br><br>​
LuckyWell [14K]

\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{a^6+b^6}\implies a^{2\cdot 3}+b^{2\cdot 3}\implies (a^2)^3+(b^2)^3 \\[2em] [a^2+b^2] [(a^2)^2-a^2b^2+(b^2)^2]\implies \boxed{(a^2+b^2)(a^4-a^2b^2+b^4)}

about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

4 0
3 years ago
9. Three minutes after a hot tub starts to fill, the tub contains 24
Marianna [84]

Answer:

8 gallons per minute

Step-by-step explanation:

24 gallons in 3 minutes

you divide 24 by 3 which is 8

40 gallons in 5 minutes

you divide 40 by 5 which is 8

the relationship is that in both the answer was 8 as in 8 gallons per minute

6 0
2 years ago
A class quiz has 5 true or false questions the correct answers are t,t,f,f,
raketka [301]
I’m not sure what you are trying to say in this problem?
8 0
3 years ago
A storekeeper increased the price of hats by 8% A hat was originally priced at $12.00. What is the new cost of the hat?
german

Answer:

$12.96

Step-by-step explanation:

determine what the decimal form of 8% is

⇒ 8% = 0.08

multiply $12 by 0.08

⇒ $12 x 0.08

⇒ $0.96

add $0.96 to $12

⇒ $12 + $0.96

⇒ $12.96

new price

⇒ $12.96

6 0
3 years ago
Other questions:
  • Given these similar triangles, what is the common ratio of triangle LJK to triangle EFG?
    11·2 answers
  • What is the inverse function f(x)=-3x-2
    5·1 answer
  • The cost in dollars of a Valentine's Dance is 45 + 3s where s is the number of students attending. What is the cost for 78 stude
    13·2 answers
  • Please help! Will mark BRAINLIEST!
    7·1 answer
  • Which of the following is equivalent to the following expression?
    13·2 answers
  • Determine the regression equation for the data. Round the final values to three significant digits, if necessary.
    6·1 answer
  • . <br> (01.01)<br><br> Evaluate −30 ÷ −6. (1 point)<br> 5<br> −5<br> 6<br> −6
    13·1 answer
  • Hi, I need help with this story problem.
    8·1 answer
  • Graph the equation y=-3x-4 by plotting points
    12·1 answer
  • What’s the preimeter to this?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!