A young sumo wrestler decided to go on a special high − -protein diet to gain weight rapidly. After  1 1 11 months, he weighed  1 4 0 k i l o g r a m s . 140 kilograms. He gained weight at a rate of  5 . 5 k i l o g r a m s 5.5 kilograms per month. Let  y y represent the sumo wrestlers weight ( i n k i l o g r a m s ) (in kilograms) after x months. Whats the y-intercept?

Answers

Answer 1

Given:

After 11 months, sumo wrestler weighed 140 kilograms.

He gained weight at a rate of 5.5 kilograms per month.

To find:

The y-intercept of the equation which represents y the  sumo  wrestlers  weight (in kilograms)  after x  months.

Solution:

Let y represent the sumo wrestlers weight (in kilograms) after x months.  

It is given that he gained  weight at a rate of  5.5 kilograms per month.

So, slope of the line is 5.5.

After  11  months,  sumo  wrestler weighed  140 kilograms. It means the line passes through the point (11,140).

The point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the line.

[tex]y-140=5.5(x-11)[/tex]

[tex]y-140=5.5x-60.5[/tex]

Add 140 on both sides.

[tex]y-140+140=5.5x-60.5+140[/tex]

[tex]y=5.5x+79.5[/tex]

Therefore, the required equation is [tex]y=5.5x+79.5[/tex].

Substitute x=0, to find the y-intercept of this equation.

[tex]y=5.5(0)+79.5[/tex]

[tex]y=79.5[/tex]

Therefore, the y-intercept is 79.5. It means initial weight of sumo is 79.5 kilograms.


Related Questions

Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now? *

Answers

Answer:

$  263.42

Step-by-step explanation:

-275.78 + 539.20 = 263.42

The new balance in Mr. smith account will be $263.42.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account.

Assume that the new amount in his account will be [x]. Then -

[x] = 539.20 - 275.78

[x] = 263.42

Therefore, the new balance in Mr. smith account will be $263.42.

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Can someone help me with this

Answers

Gamma mart because it has the lowest price
I think the answer is Beta Mart

Match the following definitions with their word

Answers

Answer:

A: law

B:  The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).

C: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

Step-by-step explanation:

I hope this helps. :)

A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus

Answers

Answer:

125

Step-by-step explanation:

The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.

Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.

Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.

So, x+90=215

[tex]\Rightarrow x=215-90=125.[/tex]

Hence, the number of fraternity men on the campus was 125.

HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME

Answers

Answer:

No.

Step-by-step explanation:

We will figure this out using subtraction.

96-24=72

112-28= 84

Simplified:

72/9= 8

84/9=9.33

So, no. They are not equivalent. Also is there any context?

Answer:

what you need help with

Step-by-step explanation:

What is the slope of the line shown?

Answers

Answer:

M=(-3)

Step-by-step explanation:

Take two points on the line

(5,1) and (2,2)

the equation to find M is y2-y1/x2-x1

2-5=(-3)  2-1=1

(-3)/1=(-3)

Hope this helps =3

3. A Fahrenheit thermometer reads 63°F. If the temperature increases 10°F, to the nearest degree, what is the new temperature C, in degrees Celsius?​

Answers

Formula to convert F to C:

(F -32) x 5/9

F = 63 + 10 = 73

73-32 = 41

41 x 5/9 = 22.77777

Rounded to the nearest degree = 23 C

Answer: 63 +10 =73 then you have to round it right

it would be 70 degrees Celsius

Step-by-step explanation:

it would be rounded to 70 because 73 cant be round to 80 the 3 is ot higher than 5

Having chosen to use a survey to obtain descriptive data on consumers and their drink preferences, you now need to decide how to contact consumers. You want to gather a large quantity of data fairly quickly, while not incurring high costs. How will you collect this data?

Answers

Answer:

Telephone interview, emails

Step-by-step explanation:

From the question you are trying To minimize cost in the collection of the survey data. To do this, we can use either phone interviews or emails. Using telephone methods have high rates of response and we can easily gather responses. It also gives an opportunity to answer any question respondents may have. Email surveys gives an opportunity for respondent's to share more sensitive details and also respond at their own time.

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!

Answers

Answer:

$1.30

Step-by-step explanation

yup its 100% sure

can u  brainliest i really need it

:) <3

For every pound a company spends on advertising, it spends £0.51 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form.

Answers

Answer:

I think it is 0.51? (I am complety off aren't I/)

Step-by-step explanation:

10. Write the fraction 9/50 as a decimal. If
necessary, round your answer to the nearest
hundredth.
A 0.28
© 0.5
B 0.18
D 0.09

Answers

Answer:

0.18

Step-by-step explanation:

9/50 is the same as 18/100, we know this because if we multiply both 9 and 50 by 2, it gives us 18/100. 18/100 can be turned into the decimal, 0.18, so your answer is 0.18

I hope this helps :)

Penolope earned $50 dollars in may and she earned $60 in June
what is the percent increase or decrease in penolope´s monthly earnings

Answers

Answer:

120

Step-by-step explanation:

If f(x)=5x+2 and g(x)=x-1 what is f(g(4))

Answers

So g(x) would be 3 because you plug in 4 for x and it would become 4-1 and then you plug in 3 for x in 5x+2 so it would be 5(3)+2 which would equal 17

A basketball team played five games. In those​ games, the team won by 7​ points, lost by​ 3, won by​ 4, lost by​ 2, and won by 9. What was the mean difference in game scores over the five​ games?

Answers

Answer:

3

Step-by-step explanation:

7-3+4-2+9=15

15/5=3

The mean difference in the game scores over the five games is = 5

The points achieved by the various team players =

won by 7, lost by 3, won by 4,lost by 2,won by 9.

To obtain the mean of the points achieved from the five

games the five scores are added together and divided by the number of games which is 5.

That is,

[tex] \frac{7 + 3 + 4 + 2 + 9}{5} [/tex]

[tex] \frac{25}{5} = 5[/tex]

Therefore the mean difference in game scores over the five games is = 5

Learn more here:

https://brainly.com/question/16794295

What are the distances in feet covered in for step 6 steps twelve steps and 30 steps type your answer in the table. I need answers asap.​

Answers

Answer:

instantly Converts Feet to Steps and Many More Length Conversions Online. ... 1 Step: The distance covered by a single step assuming a stride length of 0.762 meters or 2.5 feet. Although stride length ... 6 Feet to Steps = 2.4, 300 Feet to Steps = 120. 7 Feet to ... 30 Feet to Steps = 12, 1,000 Feet to Steps = 400. 40 Feet

Step-by-step explanation:

can i please get a brainliest and a thank you please

A bar of steel 340 cm long

Answers

Answer:

ok, and?

Step-by-step explanation:


Write the equation of a line perpendicular to 8x - 7y= -6 that passes through the point (-8,6).
The equation of the line is y=

Answers

Answer:

y= -7/8x – 1

Step-by-step explanation:

the first equation would be y= 8/7 + 6/7the perpendicular slope would be -8/7and I solved for b by plugging in what I know for y=mx+bwhich is 6= -7/8(-8) + bsimplify so 6 = 7 + bsubtract 7 on both sides to get b = -1

answer my question plz im really stuck on it plz!

Answers

Answer:

c

Step-by-step explanation:not sure if im right

Answer:

E. $1,120

Step-by-step explanation:

house payment and utilities altogether takes up 35% of the family's monthly budget. 0.35•3200=1120.

Over the course of 4 months, Spiffy the dog lost 36 pounds. What integer represents his loss per month?

Answers

Answer:

-9 pounds / month

Step-by-step explanation:

A loss of 36 pounds is a negative number

-36

Divide by the number of months

-36 pounds / 4 months

-9 pounds / month

Divide total loss by number of months:

36 pounds / 4 months = 9 pounds per month.

Because it lost weight the integer would be negative 9 (-9)

I need help!!! Can you put this in order for me !

Answers

Answer:
7=2x+4
3=2x
X=3/2

© MP.1 Make Sense and Persevere
The Environmental Club's goal is to collect
9,525 cans by the end of four months. How
can you find the number of cans the club
needs to collect in September to meet their
goal? How many more cans do they need?
Month
DATA
June
July
Augusthow many more cans did they need ​

Answers

Answer:

[tex]September = 2697[/tex]

Step-by-step explanation:

Given

[tex]June = 1,898[/tex]

[tex]July = 2,643[/tex]

[tex]August = 2,287[/tex]

[tex]Expected = 9,525[/tex]

Required

Number of cans in September

First, we need to determine the total collected can from July to August.

[tex]Total = 1898 + 2643 + 2287[/tex]

[tex]Total = 6828[/tex]

September is then calculated as follows:

[tex]September = 9525 - 6828[/tex]

[tex]September = 2697[/tex]

Hence:

2697 cans are still needed

Renee used the values in the table to calculate simple interest.

Principal $750
Interest rate ?
Time 11 years
Interest $412.50

Which interest rate is missing from Renee’s table?

Answers

Question:

Which interest rate is missing from Renee’s table?

Answer:

Principal- $750

Interest Rate- $00.5

Time- 11 yrs. (Years)

Interest- $412.50

Explanation:

To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. ...

I = Interest amount paid in a specific time period (month, year etc.)

P = Principle amount (the money before interest)

t = Time period involved.

r = Interest rate in decimal.

Therefore we get an answer of $00.5

Answer:

c

Step-by-step explanation:

7
8 change the fractions to decimals. Round to the nearest thousandth​

Answers

7/8 into a decimal is 0.875
hope it helps!!

Suppose Sine (x) = four-fifths and cos(x) < 0. What is the value of cos(2x)?

Negative StartFraction 14 Over 25 EndFraction
Negative StartFraction 7 Over 25 EndFraction
StartFraction 7 Over 25 EndFraction
StartFraction 14 Over 25 EndFraction

Answers

Answer:

B.-7/25

Step-by-step explanation:

edge

The required value of cos(2x) is -7/25. Option B is correct.

sinx = 4/5
cosx < 0

What is trigonometry?

Trigonometry is the study of angles in mathematics.

Here,
cos(2x) = 1-2sin²x
           = 1 - 2 x 4²/5²
           =  1 - 32/25
cos(2x) =  -7/25

Thus, the required value of cos(2x) is -7/25.

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how many significant digits are there in 074.0030

Answers

Answer:

Step-by-step explanation:

6 significant digits

only the first zero is not counted.

A. What’s 0.9333.... as a fraction?

Answers

Answer:

0.9333=9333/1000

Step-by-step explanation:

0.9333=0.9333/1

0.9333/1*1000/1000

=9333/1000

which expression is equivalent to 5m+m+2m

Answers

Answer: 8m

Step-by-step explanation:

5+1+2=8

Answer:

7m + m

Step-by-step explanation:

If you combine like terms, your final answer would be 8m. However, you said you wanted an expression so 7m + m would be an equivalent one. 8m is a term, not an expression.

Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution and the line graph.

8 ≥ 3x + 5

Answers

X is less than or equal to 1 the line graph would be a line graph with the numbers -5 -4 -3 -2 -1 0 2 3 4 5 you would put a CLOSED dot on 1 and an arrow pointing left

The two sentences would be————

To get the solution you would first isolate the variable by subtracting five from both sides. To get three is greater or equal to three X then you would divide three by three to get one. Then you would plot that in a line graph by placing a closed dot on one which represents x is equal to or less than 1. Then you make an arrow pointing left because x is less than or equal to 1.

What is the value of x? ​

Answers

Answer:    30

Step-by-step explanation:

r.i.p walter wallace Jr

Answers

Big rip in the chat :(
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