To prepare for wrestling season, Tommy wants to eat 24 grams of protein at breakfast. He knows that there are 3 grams of protein in a slice of bacon and 6 grams of protein in an egg. Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat.



Write an equation that relates the number of slices of bacon to the number of eggs he will eat, assuming he eats exactly 24 grams of protein. **Rewrite your equation in slope-intercept form.

Answers

Answer 1

Answer:

1) The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is;

3·x + 6·y = 24

2) The equation in slope and intercept form is;

y = 4 - 0.5·x

Step-by-step explanation:

1) The given parameters are;

The amount of protein Tommy wants to eat for breakfast = 24 grams

The quantity of protein in a slice of bacon = 3 grams

The quantity of protein in an egg = 6 grams

Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat

The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is given as follows;

3·x + 6·y = 24

2) The equation in slope and intercept form is given by making y the subject of the above equation as follows;

3·x + 6·y = 24

6·y = 24 - 3·x

y = 24/6 -1/2·x

y = 4 - 0.5·x, which is in the slope and intercept form y = m·x + c

Where;

m = The slope = -0.5

c = The y-intercept = 4


Related Questions

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help it is easy but I am just tired


Determine which of the lines, if any are perpendicular.


Line a passes through (2, 10) and (4, 13).


Line b passes through (4, 9) and (6, 12).


Line c passes through (2, 10) and (4, 9).

Answers

Given:

Line a passes through (2, 10) and (4, 13).

Line b passes through (4, 9) and (6, 12).

Line c passes through (2, 10) and (4, 9).

To find:

Which of the lines, if any are perpendicular.

Solution:

If a line passes through two points, then the slope of line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Line a passes through (2, 10) and (4, 13).  So, slope of this line is

[tex]m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}[/tex]

Line b passes through (4, 9) and (6, 12).  So, slope of this line is

[tex]m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}[/tex]

Line c passes through (2, 10) and (4,9).  So, slope of this line is

[tex]m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}[/tex]

Product of slopes of to perpendicular lines is -1.

[tex]m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1[/tex]

[tex]m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]

[tex]m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]

Therefore, any of these lines are not perpendicular to each other.

I need help!!!! Pls, help me!!!
URGENT!

Answers

Answer:

what is it you need help with?

Step-by-step explanation:

What do you need help with? There is no picture attached or question

PLZZZZ HELPPPPPPP!!!!

A person and a building cast a shadow at the same time of day. The person is 5.8 feet tall and cast a shadow of 3.2 feet.

The building casts a shadow of 28 feet.

Answers

Answer: The height of the building is 50.75 feet.

Step-by-step explanation:

The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.

For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.

The ratio will be: 5.8ft/3.2ft = 1.8125

Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:

H/28ft = 1.8125

Now we can solve this for H.

H = 1.8125*28ft = 50.75 ft

Then the height of the building is 50.75 feet.

how ? rn i’m doing a warm up

Answers

Answer:

For question y=x+3

Your answer is y=(2x+1)+3

Step-by-step explanation:

Professor Malone is grading papers in the teachers' lounge. She has already finished grading 20 assignments, and is grading 5 more assignments per hour. Her teaching assistant just came in to help her. He can grade at a rate of 7 assignments every hour. At some point, they will be finished and will have graded the same number of papers. How many assignments will they each have graded?
Write a system of equations, graph them, and type the solution.

Answers

Answer:

55

Step-by-step explanation:

bedcause if you add 50 and 5 then it makes yes

The number of papers checked by both becomes equal in 10 hours.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Teacher Malone is reviewing papers in the educators' parlor. She has previously gotten done with reviewing 20 tasks and is evaluating 5 additional tasks each hour. Her showing colleague just came in to help her. He can grade at a pace of 7 tasks consistently.

Let 'x' be the number of hours and 'y' be the number of assignments. Then the equations are given as,

y = 5x + 20        ...1

y = 7x                ...2

At some point, they will be finished and will have graded the same number of papers. Then from equations 1 and 2, we have

7x = 5x + 20

7x - 5x = 20

2x = 20

x = 20 / 2

x = 10

The number of papers checked by both becomes equal in 10 hours.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Parallelogram R S T U is shown. Angle S is 70 degrees.
What are the missing angle measures in parallelogram RSTU?

m∠R = 70°, m∠T = 110°, m∠U = 110°
m∠R = 110°, m∠T = 110°, m∠U = 70°
m∠R = 110°, m∠T = 70°, m∠U = 110°
m∠R = 70°, m∠T = 110°, m∠U = 70°

Answers

Answer:

B. m∠R = 110°, m∠T = 110°, m∠U = 70°

Step-by-step explanation:

The opposite angles of the parallelogram are the same.

From the diagram;

<S = <U and <R = <T

Given

<S = 70°

Since <S = <U, hence <U = 70°

Since the sum of angles in a quadrilateral is 360 degrees, hence;

<R+<S+<T+<U = 360

Since <R = <T, then;

<Y+<S+<T+<U = 360

2<T + 70+70 = 360

2<T = 360-140

2<T = 220

<T = 220/2

<T = 110°

Since <T = <R, then < R = 110°

Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct

Answer:

b.) on edg.

Step-by-step explanation:

just did it

good luck!

whats 1+1?

I would also like an explanation on how you found the answer too thanks

Answers

Answer:

2

Step-by-step explanation:

1x = [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]

[tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]+ [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]= [tex]\frac{d}{dx} }x^2[/tex]

[tex]\frac{d}{dx} }x^2[/tex] = 2x

2x/x = 2

Sam read 6 chapters in 2 hours. If he continues to read at this same rate, how many chapters will he read in 1 day?

Answers

Answer:

He will read 72 chapters in 1 day

Step-by-step explanation:

Let us use the ratio method to solve this question

∵ Sam read 6 chapters in 2 hours

∵ He continues to read at this same rate for 1 day

→ We must change the day to hours

∵ 1 day = 24 hours

∴ We need to find how many chapters he will read in 24 hours

→ Chapter  :  Hour

→   6            :   2

→   x            :   24

→ By using cross multiplication

x × 2 = 6 × 24

∴ 2x = 144

→ Divide both sides by 2

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{144}{2}[/tex]

x = 72

He will read 72 chapters in 1 day

question 6 please help me ill give brainliest answer

Answers

Answer:

d

Step-by-step explanation:

because it makes sense and is proportional

help me
I need someone..
plss​

Answers

Answer:

b

Step-by-step explanation:

Answer:

a. very likely

b. 0 to 1

c. less than 0

Step-by-step explanation:

please mark as brainliest

3) What is 2/15 + 3/10 ? (hint: find the LCD first)

Answers

Answer:

13/30

Step-by-step explanation:

2/15 x 2 = 4/30

3/10 x 3 = 9/30

4/30 + 9/30 = 13/30

Answer:

13/30

Step-by-step explanation:

2/15 = 2/15 × 2/2 = 4/30

3/10 = 3/10 × 3/3 = 9/30

4/30+9/30=13/30

4-inch-by-6-inch frame. What is the area, in
square inches, of the part of the photograph that was
-
into a
DO YO
cut off?
A 2
B. 10
C. 11
D. 12
E. 24

Answers

The answer would be 24 because you just multiply did you even pay attention
the answer is 24 because area is length times width, in this problem i don’t know which is the length or width but just multiple 4 by 6 or 6 by 4, doesn’t really matter what order as long as it’s two numbers.

Marco calculated that he could run a 5K race in 28 minutes. His actual time was 26 minutes. What is the percent error in his estimation? Round to the nearest tenths place. I NEED THIS ASAP PLZ HELP

Answers

Answer:

7.70%

Step-by-step explanation:

Total length of race = 5k

Actual time taken to run the race = 26 minutes

Marcos time = 28 minutes

Percentage error = difference in value / actual time × 100

= (28 - 26) / 26 × 100

= 2 / 26 × 100

= 0.077 × 100

= 7.70%

Answer:

7.7 or 7.70

Step-by-step explanation:

Step-by-step explanation:

Total length of race = 5k

Actual time taken to run the race = 26 minutes

Marcos time = 28 minutes

Percentage error = difference in value / actual time × 100

= (28 - 26) / 26 × 100

= 2 / 26 × 100

= 0.077 × 100

= 7.70%

If The Base Of A Triangle Is 6 cm And Its Hypotenuse Is 10cm, Then Find Its Area Pls Reply ASAP​

Answers

the awnser would be 24cm^2

Victoria wants to take her friends to a movie. She can spend less than $150. The movie ticket costs $10 each, and she also wants to spend $20 for popcorn. What is the possible number of friends she can take to the movie?

Answers

Answer:

5

Step-by-step explanation:

plz help
One real-world problem that is solved by an equation
James has twin sisters (who are the same age, of course). James is 12. If the combined ages of James and his twin sisters equal 42 years, how old are his sisters?

Answers

Answer:

15

Step-by-step explanation:

With the two twins sister in mind we be dividing the difference of James's age with the combined ages

42-12/2

= 30/2

= 15

The age of his two sisters are 15

Please help me. What are 2 numbers that multiply to be -36 and add up to be 5?

Answers

Answer:

-4 and 9

Step-by-step explanation:

-4 + 9 = 5

-4 x 9 = -36

A food server records the total bill and the amount of the tip received by 5 individuals who dined alone. Here are the data: Total $4.50 $5.79 $6.25 $4.62 $6.35 Tip $0.75 $1.00 $0.75 $0.58 $1.00 (a) Is there a clear explanatory variable and response variable in this setting? If so, tell which is which. If not, explain why not. b) Make a scatterplot of these data on your work document. (c) Based on the scatterplot, describe the relationship between the total bill and tip received for these 5 customers. (d) The correlation r between the total bill and tip received is r = 0.67. Explain how this confirms the description from part (c). (e) How would r change if all the total bill amounts were reduced by 10%? tip received was measured in cents rather than dollars? (f) Suppose another customer whose total bill was $5.15 tipped $0.75. How would including this point influence r? Justify your answer without performing any calculations.

Answers

Answer:

(a) There is not a clear explanatory variable and response variable

(b) Please find attached the scatterplot created with Microsoft Excel

(c) There is some relationship between the total bill and tip received

(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received

(e) The correlation will remain positive, and will increase

(ii) The correlation will remain constant

(f) The correlation and r will increase marginally

Step-by-step explanation:

(a) The given parameters are;

Total      [tex]{}[/tex]             Tip

$4.50     [tex]{}[/tex]             $0.75

$5.79     [tex]{}[/tex]             $1.00

$6.25     [tex]{}[/tex]             $0.75

$4.62     [tex]{}[/tex]             $0.58

$6.35     [tex]{}[/tex]             $1.00

From the given data, the relationship between the variables are not clear as the lowest and the second highest total give the same amount as tip, the second lowest receive the lowest tip and the median value of the total and the highest value give the same value of tip

Therefore, there is not a clear explanatory variable and response variable

(b) Please find attached the scatterplot

(c) Based on the scatterplot, as the total bill increases, the response the tip increases, therefore, there is some relationship between the total bill and tip received

(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received

(e) (i)Whereby the total bill were reduced by 10% each, we have, that the correlation will remain positive, and will increase

(ii) Whereby the tip received were measured in cents rather than dollars, the correlation will remain constant

(f) When the total bill of another customer whose bill is $5.15 and tipped $0.75 is added, we have three customers out of six that give an equal tip, therefore, the correlation and r will increase marginally

Creating a linear regression model of the given data, the necessary deductions required to solve the problems posed. Hence, the solutions are as follows :

A.)

The explanatory variable is not very obvious as we have similar measured or predicted value for two different data points in the data.

B.)

The scatterplot of the relationship is attached with Total being the independent and tips being the dependent variable.

C.)

The scatter plot shows a positive association or relationship between total and tips.

D.)

The Correlation Coefficient gives the strength and direction of the relationship between two variables. Hence, 0.67 is positive and shows a fairly strong association.

E.)

A reduction in total bill by 10% would still depict an increase in the tips as based on the total bill amount.

If tips was measured in cent and not dollars, then, the the value of r will remain the same, as the unit of a variable has no effect on the correlation Coefficient.

F.)

The addition of a point with total bill of 5.15 and tip amount of 0.75 will strengthen the existing relationship. Hence, the value of R will increase slightly.

Learn more :https://brainly.com/question/18405415

1. The sum of a number and 5 is 20
2. Ten more than a number
3. A number increased by eleven is twenty one
4. Three times a number increased by 4
5. The sum of a five times a number and six
6. Seven more than three times a number
7. The difference between ten times a number and 3
8. Subtract eight from six times and number
9. Eight less than a number is five
10. Five times a number decreased by six
11. A number decreased by seven
12. The product of a number and seven
13. The sum of twice a number and four
14. The quotient of a number and three
15. A number divided by eleven The sum of twice a number and four
PLEASEEE GIVE ME THE ANSWERS

Answers

Answer:

Step-by-step explanation:

Let x be the unknown numbers so [tex]x+5=20[/tex] [tex]10x[/tex] [tex]x+11=21[/tex] [tex]3x+4[/tex] [tex]5x+6[/tex] [tex]3x+7[/tex][tex]10x-3[/tex] [tex]6x-8[/tex] [tex]x-8=5[/tex] [tex]10x-6[/tex] [tex]x-7[/tex] [tex]7x[/tex] [tex]2x+4[/tex] [tex]\frac{x}{4}[/tex] [tex]\frac{x}{11},2x+4[/tex]

Answer:

1. x+5=20

Step-by-step explanation:

3y + 4x =15
y = 2x² – 3x +5​

Answers

Answer:

(0,5)

(5/6,35/9)

Step-by-step explanation:


HELP ME PLEASE 30 points !!

Answers

Answer:

(0,1.5) (0,-3)

Step-by-step explanation:

Hope it helps :)

what is 23 to the 4th power times 5

Answers

Answer:

1399205

Step-by-step explanation:

How to do this question plz answer me ​

Answers

Answer:

6

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{9+14+15+x}{4}[/tex] = 11 ( multiply both sides by 4 )

38 + x = 44 ( subtract 38 from both sides )

x = 6

The number on the fourth card is 6

What is the slope to this graph?

Answers

Answer:

Add more point

Step-by-step explanation:

The slope for this graph is 1/2.

m = rise/run = 0.5/1 = 0.5 or 1/2

What is the slope for 5x+2y=6

Answers

Answer:

The slope is -5/2 as a fraction

or -2.5 as a decimal.

Step-by-step explanation:

First we have to get it into this format y = mx + b

5x + 2y = 6 (subtract 5x on both sides)

2y = -5x + 6 (divide by 2 on both sides)

y = -5/2x + 3

The slope is -5/2 or -2.5

Hope this helps ya!!

A farmer Harvester 21 1/4 so if you were a bushel of sweet corn this year than previous year it's a farmer sweet corn crops planted across 3 acres was the average loss Per acre

Answers

Answer:

7 1/12 bushels of sweet corn per acre of land

Step-by-step explanation:

Total bushels of sweet corn harvested this year fewer than the previous year = 21 1/4

Total acres of land used to plant = 3 acres

what is the average loss per acre?

Average loss = Total bushels of sweet corn harvested for the year / 3 acres

= 21 1/4 ÷ 3

= 85/4 ÷ 3

= 85/4 × 1/3

= 85 / 12

= 7 1/12

Average loss = 7 1/2 bushels of sweet corn per acre of land

Write the system so both equations are in slope-
intercept form: y = mx + b.
2y = -3x - 8
2y + 3x = 6
I

Answers

a) 2y = -3x -8

dividing through by 2

y = -3x/2 -4

b) 2y + 3x = 6

2y = -3x +6

dividing through by 2

y = -3x/2 + 3

please mark me brainlest

Antione swam 42 laps in 7 minutes. Frank swam 48 laps in 8 minutes. Are
these rates equivalent? Explain your reasoning.
Yes, these rates are equivalent because the unit rate of 9 laps per minute matches
each rate.
No, the unit rates are not equivalent.
O Yes, these rates are equivalent because the unit rate of 6 laps per minute matches
each rate.
Yes, these rates are equivalent because the unit rate of 8 laps per minute matches
each rate.

Answers

9514 1404 393

Answer:

  Yes, these rates are equivalent because the unit rate of 6 laps per minute matches each rate.

Step-by-step explanation:

In each case we have ...

  laps/minutes = (42 laps)/(7 minutes) = 6 laps/minute = (48 laps)/(8 minutes)

Yes, the rates are both 6 laps/min, so are equivalent.

The blue dot is at what value on the number line? Pls help!!

Answers

Answer:

I'm guessing -3 .....not sure though sorry ...

Answer:

[tex]-3[/tex]

Step-by-step explanation:

From the two values given, it can be found that each jump down decreases by [tex]3[/tex]. Starting from [tex]3[/tex], we need to jump down two steps to reach the blue dot. This gives us [tex]3-3(2) = -3[/tex].

Hope this helps :)

You are trying to decide between two different gyms. The cost for GloboGym includes a monthly fee of $24.00 plus $.50 per visit. The monthly cost for Average Joe’s is $32 with unlimited visits.

Answers

Answer:

i dot kniw

Step-by-step explanation:

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