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.
how many significant digits are there in 074.0030
Answer:
Step-by-step explanation:
6 significant digits
only the first zero is not counted.
Match the following definitions with their word
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
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.
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.
Answer:
I think it is 0.51? (I am complety off aren't I/)
Step-by-step explanation:
answer my question plz im really stuck on it plz!
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.
What is the slope of the line shown?
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
which expression is equivalent to 5m+m+2m
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
Can someone help me with this
© 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
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
If f(x)=5x+2 and g(x)=x-1 what is f(g(4))
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?
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
I need help!!! Can you put this in order for me !
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!
Answer:
$1.30
Step-by-step explanation
yup its 100% sure
can u brainliest i really need it
:) <3
What is the value of x?
Answer: 30
Step-by-step explanation:
A bar of steel 340 cm long
Answer:
ok, and?
Step-by-step explanation:
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
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
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.
Learn more about trigonometry here:
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Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now? *
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.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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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=
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 = -1r.i.p walter wallace Jr
Over the course of 4 months, Spiffy the dog lost 36 pounds. What integer represents his loss per month?
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)
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?
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:
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7
8 change the fractions to decimals. Round to the nearest thousandth
Penolope earned $50 dollars in may and she earned $60 in June
what is the percent increase or decrease in penolope´s monthly earnings
Answer:
120
Step-by-step explanation:
A. What’s 0.9333.... as a fraction?
Answer:
0.9333=9333/1000
Step-by-step explanation:
0.9333=0.9333/1
0.9333/1*1000/1000
=9333/1000
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?
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:
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.
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
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
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 :)
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
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:
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?
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.