A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 11months, he weighed 140 kilograms. He gained weight at a rate of 5.5 , point, 5 kilograms per month. Let yyy represent the sumo wrestler's weight (in kilograms) after xxx months.

Answers

Answer 1

Answer:

y = 5.5x + 79.5

Step-by-step explanation:

Given that:

Weight gained after 11 months = 140 kg

Rate of weight gain = 5.5kg per month

Weight in kg after x months = y

Representing the equation in the form:

y = mx + c

m = rate of water gain = slope = 5. 5

.the intercept c, can be obtained thus ;

x = 11 ; y = 140

140 = 5.5(11) + c

140 = 60.5 + c

140 - 60.5 = c

79.5 = c

Hence,

y = 5.5x + 79.5


Related Questions

A large corporation gave an assessment to its candidates for supervisory positions.
The candidates were sorted into successful and unsuccessful groups based on
whether they passed the assessment. The data is summarized in the table shown.
Of the candidates not selected for supervisory positions, how many were successful
on the assessment?

Answers

Answer:

I believe the answer is 214.

Step-by-step explanation:

if the shaded area is 16 cm ^ 2 , then the length in the figure is?

Answers

Answer:

If the shaded area is 16 cm^2, then the length in the figure is

[tex] \sqrt{16} = 4 \: cm[/tex]

4 cm is the right answer.

The family has crops growing on 15 acres of their farmland. At the beginning of the growing season, Jayleen and Wyatt ride a tractor to prepare the soil and plant the seeds. IF it takes them 1.5 hours to plant one acre, how many hours will it take them to plant all 15?

Answers

Answer:

10

Step-by-step explanation:

Given:it takes them 1.5 hours to plant one acre.

So, in order to plant all 15 acres it would take

15/1.5 = 10 hours

Mr. Lozano's office has nine rows of filing cabinets with nine cabinets in each row. Mrs. Jackson's office has six rows of cabinets with 12 cabinets in each row. How many more cabinets does Mr. Lozano have than Mrs. Jackson?

Answers

Answer:

Mr. Lozano has 9 cabinets more.

Step-by-step explanation:

Mr. Lozano's office has nine rows of filing cabinets with nine cabinets in each row.

So, the total cabinet in Mr. Lozano's office is: [tex]9 \times 9=81[/tex]

Thus, the total number of cabinets in Mr. Lozano's office is 81.

Mrs. Jackson's office has six rows of cabinets with 12 cabinets in each row.

So, the total cabinet in Mrs. Jackson'soffice is: [tex]6 \times 12=72[/tex]

Thus, the total number of cabinets in Mrs. Jackson's office is 72.

Now subtract 72 from 81 as Mr. Lozano's office has more cabinets.

[tex]81-72=9[/tex]

Hence, Mr. Lozano has 9 cabinets more.

Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

Answers

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Answer:

[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]

Step-by-step explanation:

5 = –⅔[–3] + b

2

[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

Select two intergers and two rational numbers Draw a number line and plot all four numbers Tell a realistic story that involves each number is used? Give one or more meaningful calculations involving all the numbers 2 +3|4 =11/4

Answers

Find diagram of number line attached Answer and Explanation:

In the diagram we have used two examples of rational numbers and integers each and have marked the locations of each value with an asterisk on the number line diagram.

Negative values go to to the left of zero on the number line while the opposite is the case for positive values. Rational numbers which are fractions here are portions of whole number as demonstrated in the diagram, from 1-2 on the positive side, a quarter(1/4) and then half(1/2) of 1 to 2

What is the answer to this question?

Answers

Answer:

3

Step-by-step explanation:

7-4 basically

Answer:

the answer is 3

Step-by-step explanation:

I calculated it

2x + 4 - 3x + 2 + 3x

Answers

Answer:

factor the expression:2(x+3

simply the expression:2x+6

Step-by-step explanation:

tell me if you don't get it

Will give The Big Brain Crown for right answer

Answers

Answer:

B

Step-by-step explanation:

pls give me brainliest!!<3

Answer:

I believe the answer is 1/2

Step-by-step explanation:

y1 - y2 / x1 - x2

0 - 3 / -6 - 0

-3 / -6

3 / 6

1 / 2

Can someone help me with these questions

Answers

Answer:

The answer is below

Step-by-step explanation:

The nth term of a geometric sequence is given as:

[tex]a_n=ar^{n-1}\\\\where\ a=first\ term,a_n=nth\ term, r=common\ ratio=\frac{a_n}{a_{n-1}}[/tex]

9)

a = -4, r = 12 / -4 = -3

10)

a = -2, r = -8 / -2 = 4

[tex]a_{8}=-2*(4)^{8-1}=-2*(4)^{7}=-32768[/tex]

11)

a = -1, r = -5

[tex]a_{9}=-1*(-5)^{9-1}=-1*(-5)^{8}=-390625[/tex]

12)

a = -1, r = -2

[tex]a_{12}=-1*(-2)^{12-1}=-1*(-2)^{11}=2048[/tex]

First to answer gets brainliest

Answers

Answer:

y = 4x - 9

Step-by-step explanation:

Take 2 points:

(0,-9) and (4,7)

Find the slope:

(7 - (-9))/(4 - 0)

16/4 = 4

so we have y = 4x + b

Now find b:

Insert a point for y and x:

7 = 4(4) + b

7 = 16 + b

b = -9

y = 4x - 9

What is this expression in simplified form?
3√3 × 6√6

A. 18√2
B. 54
C. 18√3
D. 54√2

Answers

Answer:

D. 54√2

Step-by-step explanation:

given

3√3 * 6 √6

= 3 √3 * 6 * √3 * √2

= 3* 3*6 √2

= 54√2

Is 4.61 an integer? Please tell me

Answers

Answer:

No

Step-by-step explanation:

4.61 is not an integer because integer's are either whole numbers, positive numbers, and negative numbers. 4.61 is an decimal and decimal is not on the integer list. If you need anymore help with integers just ask.

Answer:

No, 4.61 is not an integer.

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not.

Hope this helps.

2. 1. Calculate the interest if the principal is $300, the interest rate is 7% and the time is 2 years.

Answers

Answer:

$42

Step-by-step explanation:

Given

Principal (P) = $300

rate of interest (R) = 7%

Time (7T) = 2 years

Interest (I) = ?

We know

I = PTR / 100

= 300 * 7 * 2 / 100

= $ 42

Hope it will help :)❤

how do i find the slope of y=-2/3x+3

Answers

Answer:

slope=2/3

Step-by-step explanation:

form is y=mx+b where m is the slope.

Set up an expression:
Bianca has four more than twice as many
hair bows as Hannah

Answers

Answer:

because 2+2 is 4

Step-by-step explanation:

Answer:

2h+4=b

Step-by-step explanation:

h stands for how many bows hannah has, and b stands for how many bows bianca has. bianca has four more than twice the amount of bows as hannah, so you double hannah's amount, and add four!

Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determine how many points, t, Tyler scored?

Answers

Answer:

The equation is:

[tex]409 = T - 223[/tex]

And the solution is:

[tex]T = 632[/tex]

Step-by-step explanation:

Given

Represent Kiran with K and Tyler with T

Kiran score is represented as:

[tex]K = 409[/tex]

Also, Kiran scored 223 less than Tyler.

This is represented as:

[tex]K = T - 223[/tex]

Substitute 409 for K

[tex]409 = T - 223[/tex]

Make T the subject

[tex]T = 409 +223[/tex]

[tex]T = 632[/tex]

Find the missing angle

Answers

The missing angle is 80 grades

Answer:

80

Step-by-step explanation:

180-80-20=80

Order each value from least to greatest ---- one being the least and five being the greatest.

Answers

Answer:

3 2 5 4 1 in that order :D

Step-by-step explanation:

Four less than five times a number, x, is 11

Answers

Answer:

The answer is 1x = 11. 5-4 = 1. 1*x = 1x

1x =11

Step-by-step explanation:

Answer:

that number would be 3

Step-by-step explanation:

5x−4=11

x=3

I’ll mark u brainlist if u will answer the question above.

Answers

Answer:

it's C. 5

Step-by-step explanation:

When x = 2

y = 13 - 4 * 2

= 13 - 8

= 5

Hope it will help :)❤

Can someone help me please!

Answers

Answer:

divide the numerator by the denominator

What expression can be used to determine the total cost of buying g pounds of granola for ​$4.85 per pound and s pounds of sugar for ​$0.83 per​ pound?

Answers

Answer:

The expression y = 4.85g + 0.83s can be used to determine the total cost.

Step-by-step explanation:

Given that:

Cost per pound of granola bars = $4.85

Cost per pound of sugar = $0.83

Let,

y be the total cost.

According to given statement;

y = 4.85g + 0.83s

Hence,

The expression y = 4.85g + 0.83s can be used to determine the total cost.

Amanda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges an initial fee of $55 and an additional 70 cents for every mile driven.
Company B charges an initial fee of $97.50 and an additional 20 cents for every mile driven.
For what mileages will Company A charge less than Company B?
Write your answer as an inequality, using m for the number of miles driven.

Answers

Answer:

The mileages for which Company A charges less than Company B is 0 miles ≤ m ≤ 85 miles

Step-by-step explanation:

The given parameters for the two companies are;

For Company A

Company A initial fee = $55

The additional fee per mile = 70 cents

For Company B

Company B initial fee = $97.50

The additional fee per mile = 20 cents

Let [tex]C_A[/tex] represent the total charge for company A and let [tex]C_B[/tex] represent the total charge for company B, we have;

[tex]C_A[/tex] = 55 + 0.70 × m

[tex]C_B[/tex] = 97.50 + 0.20 × m

Where "m" represents the number of miles driven

Therefore, the cost of Company A and Company B are the same or equal when have the following relation;

[tex]C_A[/tex] = [tex]C_B[/tex]

∴ 55 + 0.70 × m = 97.50 + 0.20 × m

0.70 × m - 0.20 × m = 97.50 - 55

0.5 × m = 42.5

m = 85

The number of miles driven for which the two companies will charge the same amount, m = 85 miles

Therefore, given that the initial fee for Company A is less than the initial fee for Company B. we have;

Therefore for 0 miles  ≤ m < 85 miles, Company A charges less than Company B.

please answer quickly.
1. ⅔^2
2. ⅗^2
3. ¼^4
4. ⅓^5

Answers

Answer:

Step-by-step explanation:

1.4/9=0.44

2.9/25=0.36

3.1/256=0.003

4. 1/243=0.004

Answer:

1.4/9

2. 9/25

3. 1/256

4. 1/243

Step-by-step explanation:

1. (2/3)^2= (2/3)*(2/3)=4/9

2/3=0.6667 raised to the power 2 is 4 over 9

2. (3/5)^2=(3/5)*(3/5)=9/25

3/5=0.6 raised to power 2 is 9 over 25

3. (1/4)^4=(1/4)*(1/4)*(1/4)*(1/4)=1/256

1/4=0.25 raised to the power 4 is 1 over 256

4. (1/3)^5=(1/3)*(1/3)*(1/3)*(1/3)*(1/3)=1/243

1/3=0.333 raised to the power 5 is 1 over 243

Can someone help me solve this for extra credit in school--- please?

Answers

Answer:

y = - 3x + 2

Step-by-step explanation:

y = - 3x + 5

Slopes of parallel lines are equal

( - 1, 5)

y - 5 = - 3(x + 1)

y = - 3x + 2

What is 8grams as a fraction of 4kg (but as a simplified fraction)

Answers

Answer:

1/500

Step-by-step explanation:

4kg = 4000 grams

8 / 4000 simplifies to 1/500

Step-by-step explanation:

What is 8grams as a fraction of 4kg (but as a simplified

Which expression is equivalent to 32×3-5? 1 2) 1 3) 1 104) 에​

Answers

Answer:

32 x 3 - 5 = 91

Step-by-step explanation:

First multiply because of order of operations (PEMDAS,) to get 96. Then subtract 5 from 96, to get 91.  

Jed and Cagney's neighbor ran 16.9 miles in just 2 hours today.
To find her speed in miles per hour, divide the distance she ran by the time.
А
7.45 miles per hour
B
8.45 miles per hour
C
8.40 miles per hour
7.95 miles per hour

Answers

Answer:

B | 8.45 miles per hour.

Step-by-step explanation:

8.45 x 2 is 16.9.

Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false

Answers

Answer:

True , because all properties preserved under dilation from triangle abc to a'b'c'.

Step-by-step explanation:

Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'

To find :After dilation,  properties of triangle abc and a'b'c' is true or false.

Solution:

          Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.

So, dilation of triangle are not congruent but similar to the original triangle abc

Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.

Answer:

true

Step-by-step explanation:

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