Find the slope of the graph

Answer:

$6.5

Step-by-step explanation:

The marginal utility per dollar of a commodity is obtained by:

Marginal utility of coffee = 5.5

Price of coffee = $1

The marginal utility of doughnut declines by 1 per additional unit of donut consumed :

10 / 1, 9 /1..... 1/1

Therefore , before a dollar can be spent on coffee, then the marginal. Utility of coffee should be greater than doughnut.

5.5 doughnuts will be purchased, at this time marginal utility of doughnut will be 5.5/1, the 6th doughnut will have a marginal utility of 5 which is less than that of coffee.

Cost of 5.5 donuts = $5.5

Cost of coffee = $1

Total = $(5.5 + 1) = $6.5

Answer:

2 + 1 = 3

Step-by-step explanation:

Answer:

y is 1/3 of x

Step-by-step explanation:

x:y is 3:1

mathematically, we have this as;

x/y = 3/1

x = 3y

or y = x/3

So the correct answer is that y is 1/3 of x

Answer:

200π/3 cm^2

Step-by-step explanation:

The answer is explained in the above photo

Step-by-step explanation:

3h ÷ 12

= but this is wt I know❤️

Answer:

8 (3) /12 = 24/12, 24/12= 2

Answer:

Y= -2

Step-by-step explanation:

Answer:

27 because you have to multipli and then divide

Answer:

about 93 weeks

Step-by-step explanation:

divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks

Answer:

is a. D.

Step-by-step explanation:

I hope you serve my answer and goodluck ^^

Answer: it would be 24.8ft

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.

Answers:

All three sides are 36 units long.

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Explanation:

Triangle ABC is equilateral, so all three sides are the same length.

Pick any two of those sides, set them equal to each other, and solve for x

AB = BC

8x+4 = 11x-8

8x-11x = -8-4

-3x = -12

x = -12/(-3)

x = 4

Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).

We get the same value for the three side lengths, so this confirms we have the correct x value.

Answer:

x=1/27

Step-by-step explanation:

In attachment...

Answer:

m∠3 = 105°

Step-by-step explanation:

Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.

m∠3 + m∠6 = 180° [Consecutive interior angles]

Since, ∠6 = 75° [Given]

m∠3 + 75° = 180°

m∠3 = 180 - 75

        = 105°

Therefore, measure of ∠3 is 105°.

In the given diagram, the measure of ∠3 is 105°

From the question,

We are to determine the measure of ∠3

In the diagram, ∠3 and ∠6 are consecutive interior angles

NOTE:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

That is,

∠3 + ∠6 = 180°

From the given information,

∠6 = 75°

Then, we can write that

∠3 + 75° = 180°

∠3 = 180° - 75°

∠3 = 105°

Hence, the measure of ∠3 is 105°

Learn more on finding the measures of angles here: https://brainly.com/question/2883630

Answer:

Step-by-step explanation:

V cube=s^3, where is the side of the cube

1 1/2ft=3/2 ft

V=(3/2)^3=27/8 ft^3=3 3/8 ft^3

V=3.375 ft^3

Answer: I think the value of x is 20 but im not sure

Step-by-step explanation:

no explanation here

Answer:

8

Step-by-step explanation:

We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.

Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side

4/10=x/20

Cross multiply: 10x=80

x=8

Answer:

Step-by-step explanation:

As the triangles are similar, their corresponding sides will have same ratio:

or simpler

Substitute values to find the missing one:

The missing side is 8 inches long

Answer:

slope: 3/2, y-intercept: (0,1/2)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Answer:

12 inches

Step-by-step explanation:

21 feet = 3 inches (in a model)

84 feet = 12 inches (in a model)

84 ÷ 21 = 4

3 × 4 = 12

Answer:

$6

Step-by-step explanation:

6 x 4 = 24

We can find the slope by using the slope formula. Also know rise over run.

[tex] \large \bold{m = \frac{rise}{run} }[/tex]

[tex]m = \frac{2 - 0}{ - 2 - 2} \\ m = \frac{2}{ - 4} \\ m = - \frac{1}{2} [/tex]

From the slope-intercept y = mx+b.

[tex] \large \bold {m = slope } \\ \large \bold {b = y - intercept }[/tex]

[tex] \large \boxed { - \frac{1}{2} }[/tex]

Answer:

-1/2

Step-by-step explanation:

Going from (-2, 2) to (2, 0), x (the run) increases by 4 and y (the rise) decreases by 2.  Thus, the slope of this line is m = rise / run = -2/4 = -1/2.

Answer:

5

Step-by-step explanation:

20/4 = 5

Answer:

each side 5

Step-by-step explanation:

with 2 equal internal base angles, we know this is an isosceles triangle

this being isosceles also tells us that the 2 opposite sides are also equal

Therefore: x + 2 = 3x - 4

solving for x

x - 3x = -4 -2

-2x = -6

x = -6 ÷ -2

× = 3

substituting x:

x +2 = 3 + 2 = 5

3x-4 = 9 - 4 = 5

Answer: the value is 13

Step-by-step explanation:

we simply substitute the letter for the number 4.

4^2 - 3

16 - 3

13

Answer:

13

Step-by-step explanation:

Answer:

Energy can happen with movement. Dance requires a bunch of movement.

dancing is the use of force, tension, and weight.

Answer: your

Pages per hour: 42

Hours per page: 1/42 of a hour

Step-by-step explanation:

14 x 3 = 42

1 hour divided by 42 pages = 1/42 of an hour per page

Answer:

B and D

Step-by-step explanation:

Answer:

The answer is 6√3in and 2√3in. Just finished taking the quiz, hope this gives you some conformation! :)

Answer:

x=5 y=3

Step-by-step explanation:

x+y=8 1

x-y=2 2

x+y=8

y=8-x

substitute into 2

x-(8-x)=2

x-8+x=2

2x=10

x=5

substitute x into 1

5+y=8

y=3

5+3=8

5-3=2

Answer: The answer is seagrass

Step-by-step explanation: I did it and got it right