Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation

Answers

Answer 1

Answer:

y = 3x + 1

Step-by-step explanation:

Answer 2

Answer: y = 3x + 1

Step-by-step explanation:

Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.

For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).

Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.

To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.

Plug in 1 for b and you end up with y = 3x + 1

Katie's Favorite Deli Has A Salad Bar Where She Can Make Her Own Salad. She Has To Pay $1 For The Container

Related Questions

Please help me with this

Answers

The answer is 1 and 7/8. The last answer
1 7/8
3/5 x 3 1/8 (25/8) = 1.875
1.875 as a fraction is 1 7/8

Mike can type 1/2 page in 1/6 of an hour. What is Mike's rate per hour​

Answers

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

What is the slope of the line that passes through the points (-9, 2) and
(1, 27)? Write your answer in simplest form.

Answers

Answer:

5/2

Step-by-step explanation:

Y(2)-Y(1)/ X(2)-X(1)

(27-2)/(1-(-9)

25/10

simplified=5/2

solve pls brainliest

Answers

Answer:

96 cm^3

Step-by-step explanation:

multiply the three dimensions: 4*6*4=96

Answer:

V=l×W×h

=4cm×6cm×4cm

=96cm cubic

Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)

Answers

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Step 1: Slope

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

Step 2: Y - Intercept

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Step 3: Equation

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Answer asap, please!!!

Answers

Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

Please HELP!!!!PLSLSLSLSS​

Answers

Answer: where is the question??

what do you need help with?

A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?

Answers

Answer:

3 is 37.5% of 8 so the answer is about 37%

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Three male and five female.

So, we need to find out the mall.

We can divide this out of 8.

3/8 and 5/8.

Male - 37.5%

Female - 62.5%

Find the missing side. Round to the nearest tenth, if necessary.


Answers

Answer:

Apply the concept of:

a²+b²=c²

1. 5²+4²=c²

  25+16=c²

        c²=41

         c=6.4 (to nearest tenth)

Do the same for the other qns.

8.2x + 9y + 2(2.5x) + 10xy

plz Help

Answers

Answer:

13.2x + 9x + 10xy

Step-by-step explanation:

=> 8.2x + 9y + 2(2.5x) + 10xy

=> 8.2x + 9y + 5x+ 10xy

=> 13.2x + 9y + 10xy

Since we can't simplify it from here, 13.2x + 9y + 10xy is our answer.

How would I solve [tex]-2 \frac{1}{2} - -2 \frac{1}{2}[/tex]

Answers

that would be 0 because since you have a double negative

-2/1/2 + 2/1/2 = 0

y = 3x + 21. which ordered pair is a solution to the equation

Answers

the answer is (-7,21)

Answer:

(1, 24 )

Step-by-step explanation:

Substitute any value of x into the equation and evaluate for y

x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then

(1, 24 ) is a a solution to the equation

a square has a diagonal length of 10 meters. How long is the side of the square?

Answers

Answer:

5 × √2 or 7,071067811865475

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

--------------------------

Answer: 50

Step-by-step explanation  :<




Find the values of a and b. The diagram is not drawn to scale.

Answers

Answer:

36

Step-by-step explanation:

Same side

Answer:

a = 144°, b = 67°

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

a = 180 - 36 = 144b = 180 - 113 = 67

What is domain and range

Answers

Answer: domain and range is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

Find the perimeter of this figure. Enter your answer in the box.
(-7 , 3) (8 , 3) (-7 , -1) (2 , -1) (2 , -8) (8 , -8)

Answers

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

Answer:

52 units

Step-by-step explanation:

Plot the points and connect.

Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.

Horizontal sides sum to:

2*(8  - (-7)) = 2*15 = 30

Vertical sides sum to:

2*(8  - (-3)) = 2*11 = 22

The perimeter is:

30 + 22 = 52

calculate the compound interest on 10,000 for 6months at 2% per annum compounded quaterly

Answers

Answer:

Step-by-step explanation:

7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?

Answers

Answer:

20

Step-by-step explanation:

first, find out how much money you already made:

78 x 3 = 234

then, find out how much more you need to make:

350-234=116

divide the price of candy baskets by the amount of money left y out need to make:

116/6=19.3

round becauee you can’t sell .3 of a basket

19.3 rounds to 20

2) What is the inequality that this graph represents? -15 # 3 6 x​

Answers

Answer:  [tex]y < -\frac{1}{2}x+3[/tex]

This is the same as writing y < (-1/2)x+3

==============================================================

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]

We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

What is the answer to (6 1/2)/2

Answers

Answer:

3.25

Reasoning:

[tex]\frac{6.5}{2}[/tex]

[tex]3.25[/tex]

Micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?

explanation is needed

Answers

Answer:

Jocelyn = 8 Miles an Hour

Micheal-Anthony = 6 Miles a Hour

Jocelyn Run Faster than Micheal-Anthony.

Step-by-step explanation:

Important information:

Michael-Anthony runs 3 Miles in 20 Minutes.

Jocelyn Runs 4 Miles in 30 Minutes.

Continues at pace for 1 Hour.

Questions that Need to be Answer:

How many miles does each person each person run in an hour?

Who runs faster?

Explanation/Solution:

So, We know that 1 Hour = 60 Minutes and three 20 minutes equal 60 Minutes also known as 1 Hour..

Since, three 20 minutes equal 1 Hour that means

Micheal-Anthony Run 6 Miles a Hour adding the 20 Minutes equal 9 Miles

Hence, Micheal-Anthony Run 9 Miles..

We know that 1 Hour = 60 Minutes and two 30 Minutes equal 60 Minutes also known as 1 Hour..

Since, two 30 Minutes equal 1 Hour that means

Jocelyn Run 8 Miles a Hour adding the 30 Minutes equal 12 Miles

Hence, Jocelyn Run 12 Miles..

For these Reason, You can tell that Jocelyn Run 8 Miles an Hour and Micheal-Anthony Run 6 Miles a Hour and Jocelyn Run Faster than Micheal-Anthony.

Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

Lisa said she made a better rate of pay because her rate was $14 an hour.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Answers

Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

y=6x+8 what is the y and x value. find y when x = -3 and find x when y = 2

Answers

Answer:

y= -13 x= -1

Step-by-step explanation:

y=6x+8

y=6(-3)+8

y= -21+8

y=-13

2=6x+8

-8=6x

-6=6x

x= -6/6= -1

If you type 30 words per minute, what is the words per minute ratio?

Answers

Answer:

30:1

Step-by-step explanation:

If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.

3923 divided by 26 pls help

Answers

Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

Find the slope between (6,1) and (3,7)

Answers

Answer:

?

Step-by-step explanation:

Answer: m = -2

Step-by-step explanation: m = slope

recent ecological survey showed that the ratio of deer to foxes was 7 to 3 in one county in Texas. If there were 210 foxes in the county, what was the number of deer in the county?

Answers

Answer:490

Step-by-step explanation:

What equation is graphed in this figure?

· y-4= -1/3(x+2)

· y-3= -1/3(x+1)

· y+2= -3(x-1)

· y-5=3(x-1)​

Answers

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

need help!!!!
No guessing,no links

Answers

Answer:

d = mn/F

Step-by-step explanation:

F = mn/d

multiply both sides with d

d*F = mn/d*d

dF=mn

divide F from both sides

d/F = mn/F

So..

d = mn/F

Answer:

Given:

[tex] \boxed{ \mathsf{F = \frac{mn}{d} }}[/tex]

Divide both sides by "mn":

[tex] \mathsf{ \frac{F}{mn} = \frac{mn}{d \times mn} }[/tex]

The two mn's on the RHS gets canceled out. So we're left with:

[tex] \mathsf{ \frac{F}{mn} = \frac{1}{d} }[/tex]

Invert the fractions present on either side of the "equals" sign

(In other words, flip it on its head so its numerator becomes its denominator and vice):

[tex] \mathsf{ \frac{mn}{F} = \frac{d}{1} }[/tex]

Hence, we got the value of d:

[tex] \underline{\mathsf{ d= \frac{mn}{F} }}[/tex]

What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️

Answers

Let's see

[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]

[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]

From both

9x=4x=4/9
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