A student can get paid $12 per hour to run a three-hour economics tutoring session, or he can take a five-hour shift helping at his mom’s store that pays $15 per hour. What is the opportunity cost of working at the store? $12 $75 $36 $45 $60

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

Answer:

The answer is 252

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ the \ inverse \ of \ f \ does \ not\ exist \ \ \ }[/tex]

Step-by-step explanation:

hello,

for one x you cannot get several values of f(x), otherwise this is not a function

as 6 and 7 gives 0 it means that

f(6)=f(7)=0 which is fine for f

but then for [tex]f^{-1}[/tex] it would mean that 0 has two different images

and this is not possible

so the inverse of f does not exist

hope this helps

Answer:

650

Step-by-step explanation:

1st row has 1 ball

2nd row has 4 balls

3rd row has 9 balls

4th row has 16 balls

We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:

5th row has 25 balls

6th row has 36 balls

7th row has 49 balls

8th row has 64 balls

9th row has 81 balls

10th row has 100 balls

11th row has 121 balls

12th row has 144 balls

If we add up all those, we get total number of balls

please mark me brainliest!

Answer:

D. a³+b³=(a+b)(a²-ab+b²)

Explanation:

That is the form of the Sum of Cubes identity

Answer:

Answer:

b. 100

Step-by-step explanation:

Answer:

16 x 66 = 1056mm^2

Step-by-step explanation:

Answer:a x=3 y=-4

Step-by-step explanation:

Answer:

Since ∠E ≅ ∠A and ∠D ≅ ∠B, the answer is ΔABC ~ ΔEDF.

Answer:

option 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

12x + 3y = 15

Express it in the form y = mx + c

3y = -12x + 15

Divide all terms by 3

y = - 4x + 5

From the equation m = - 4

Since the lines are parallel their slope are also the same

So the slope of the parallel line is also - 4

Hope this helps you

Answer:

I do not have enough time to put them in order if you don't mind but i can list the prices.

Step-by-step explanation:

each piece of squid is 1.25

each piece of tuna is 3.25

each piece of crab is 2.00

hope this helps <3

Answer:

A

Step-by-step explanation:

Answer:

70.15 ft²

Step-by-step explanation:

The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).

If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.

The formula for the area of a triangle is (1/2)(base)(height).  Remembering to multiply this by 2, we get

area of figure = (base)(height)

                                             √3

                       = (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²

                                               2

Answer:

35

Step-by-step explanation:

We know that the mean is 15 and the median is 18. In order to solve this problem, we can work backwards. First, image the scenario:

15, 15, 15, 15, 15.

We want the median to be 18, we we can add 3 to the middle number and then subtract three from the first number (in order to keep the mean constant). Thus, we have:

12, 15, 18, 15, 15.

Now, we can subtract and add in order to find the largest number. For instance, we can subtract 11 from 12 and add that 11 to the last number:

1, 15, 18, 15, 26

Next, we can subtract 13 (not 14 because each of the numbers should be different) from the second number and add that to 26:

1, 2, 18, 15, 39.

Finally, the most we an do is to add 4 to the fourth number and subtract 4 from 39 because we want to keep the median 18. Thus:

1, 2, 18, 19, 35.

Each value is distinct.

The largest possible value is 35.

Answer:

35.

Step-by-step explanation:

Since the mean of the five different positive integers is 15, you can assume that they all add up to be 5 * 15 = 75. The median is 18, which means that the rest of the four numbers add to be 75 - 18 = 57, with two numbers higher than 18 and two numbers lower.

You want to find the highest possible values for the maximum, you want to have very low minimums (so you can keep the maximum high). Since the question asks for different positive integers, the lowest numbers you can have are 1 and 2. So far, you have 1, 2, and 18 in your data set, so you have 57 - 3 = 54 to work with for your maximum.

You still want the highest value for the largest of the integers, so the fourth number will be 19. That is because that is the lowest you can go that is still higher than the median. Then, in your data set, you will have 1, 2, 18, and 19, which add up to be 40.

Since all five numbers add to be 75, the maximum will be 75 - 40 = 35.

To make sure this is correct, check your work. 1 + 2 + 18 + 19 + 35 = 75. 75 / 5 = 15. The mean is 15. The middle number is 18, so the median is 18. All five are different positive integers.

And there you have it! The maximum possible value of the largest of these five integers is 35.

Hope this helps!

I hope this helps you

Answer:

3  -√5

Step-by-step explanation:

(√5 + 1) / (2 + √5)

Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is  2 - √5.

By doing this we rationalise the denominator:

= (√5 + 1 ) *  ( 2 - √5) /  (2 + √5)(2 - √5)

= (√5 + 1 ) *  ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)

= (2√5 - 5 + 2 - √5) / (4 - 5)

= (√5 - 3) / -1

= 3  -√5

Answer:

The area of a rectangle is the product of the length and the width of the rectangle.

The dimensions chosen for length and width of a rectangle must be the lengths of two adjacent sides. The area is the product of the two dimensions. It does not make a difference which one you call length and which one you call width since length * width = width * length because of the commutative property of multiplication.,

Answer:

To find the area you need both the length and width

A= lw

Practically it doesn't matter which one you call length or width  as long as both of them used in the calculation. The product of them doesn't change.

Answer:

B. Quadratic Function

Quadratic Term: 15x^2

Linear Term: 9x

Constant Term: -6

Step-by-step explanation:

1. F.O.I.L (firsts, outers, inners, lasts) the function

BREAK APART:       3x(5x - 2)    and    3(5x - 2)

(fx) = 15x^2 - 6x + 15x - 6

f(x) = 15x^2 + 9x - 6

There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.

Answer:

260 meters.

Step-by-step explanation:

It is given that construction crews A,B,C and D build a 1200 meter long road.

[tex]A+B+C+D=1200[/tex]     ...(1)

Team A builds 1/2 of the total length built by the other 3 teams. So,

[tex]A:(B+C+D)=1:2[/tex]

It means total distance divided in 1:2.

[tex]A=1200\times \dfrac{1}{1+2}=1200\times \dfrac{1}{3}=400[/tex]

Similarly,

Team B builds 1/3 of the total length built by the other 3 teams.

[tex]B:(A+C+D)=1:3[/tex]

It means total distance divided in 1:3.

[tex]B=1200\times \dfrac{1}{4}=300[/tex]

C builds a section that is 1/4 of the length built by the other teams.

[tex]C:(A+B+D)=1:4[/tex]

It means total distance divided in 1:4.

[tex]C=1200\times \dfrac{1}{5}=240[/tex]

Now, put A=400, B=300 and C=240 in (1).

[tex]400+300+240+D=1200[/tex]

[tex]D=1200-940[/tex]

[tex]D=260[/tex]

Therefore, 260 meters build by D.

Hey there! :)

Answer:

56.7 kg.

Step-by-step explanation:

Use the density formula to solve for the mass:

D = m/V.

Rearrange in terms of mass, or 'm':

DV = m.

Solve for the volume:

0.06 × 0.9 × 1.5 = 0.081 m³.

Plug this into the equation along with the density:

700 × 0.081 = 56.7 kg.

Answer:

19.625 cm^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = 3.14 * 5^2 * .25

V =19.625 cm^2

Answer:

from the top of my head if I read the bars right I think its 98 but I could really see the bars

Answer:

102

Step-by-step explanation:

24+12+5+17+6+19+4+15= 102

Answer:

D

Step-by-step explanation:

4x^4+3x^2-3x^3-3x+1

Answer:

C. -3

Step-by-step explanation:

Plugging both of those points into the slope formula gets you a slope of -3.

g(x) = (x - 5)^2 + 2x^3

At the root this function is equal to 0

(x - 5)^2 + 2x^3= 0

Rearrange:

(x - 5)^2 = -2x^3

Now if you plot these two functions you need to check how many times they intersect. For this you do not need to be precise just scetch approximately.

If you do that, you will see that they meet once. I cannot really use this site to plot, but you can use other tools for that if you do not know how to do it.

Answer:

correct answer is 2800.

Step-by-step explanation:

You take the area of the square which is 20x20 = 400.

There is 5 squares 400x5 = 2000

There is 4 triangles--which is 1/2 the area of 1 square (In this case).

One triangle = 200

200x4 = 800

2000 + 800 = 2800

Answer:

Step-by-step explanation:

550

Answer:

2/$5.00

Step-by-step explanation:

It's the only one that makes sense

Answer:

4,10

It is the only option on the table

Step-by-step explanation:

Answer:

7x + 23

Step-by-step explanation:

Remember BPEMDAS.

Product of 7 and a number means 7 times a variable: 7x

23 more than part means 23 + whatever we just did, so:

7x + 23

Answer:

23+7x

Step-by-step explanation:

23 + (7 * x)

23+7x

Answer:

(- 1, 5 )

Step-by-step explanation:

Since the x- coordinate of Q, x = - 1 lies on the line of reflection.

The point Q will remain unchanged, that is

coordinates of image are (- 1, 5 )

Answer:19.1

Step-by-step explanation:

Answer:

B. 46.1 in

Step-by-step explanation:

First, we must find the hypotenuse of the triangle.

Since this is a right triangle, we can use Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

13 and 14 are the legs, because they form the right angle. x is the hypotenuse because it is opposite the right angle.

13^2+14^2=x^2

Evaluate each exponent.

13^2=13*13=169

14^2=14*14=196

169+196=x^2

Add 169 and 96

365=x^2

Take the square root of both sides.

√365=√x^2

√365=x

19.1049732=x

Round to the nearest tenth.

19.1=x

The hypotenuse is 19.1 inches

Now, find the perimeter. Add up all the sides of the triangle: the legs (13 in and 14 in) and the hypotenuse (19.1 in)

13 in +14 in +19.1 in

46.1 in

The perimeter is 46.1 inches and B is correct.

Answer:

The answer is StartFraction 5 over 7 EndFraction

Answer:

The probability of the complement of the original event is 5/7.

Step-by-step explanation:

The probability of the complement of an event is 1 less the probability of the event, so

We get:  1 - 2/7, or 5/7

The probability of the complement of the original event is 5/7.

Note that  5/7  and 2/7  add up  to 7/7, or 1.