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1 year ago

5

At a certain store, juice A cost $0.10 more per ounce than juice B. If a 12-ounce bottle of juice A cost $5.64, what is the cost

per-ounce of juice B? A)$0.50 B)$0.47 C)$0.37 D)$0.40

1 answer:

Olenka [21]1 year ago

7 0

Answer:

C

Step-by-step explanation:

5.64/12= .47 but that box cost 10cents more than box B so you then you subtract .10 and get .37 per ounce for box B

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What is the circumference of a circle with a diameter of 45 centimeters?

zysi [14]

It is 141.4 centimetres. This is because the circumference is obtained by multiplying pi with the diameter.

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1 year ago

Read 2 more answers

EF is located at E (x,y) and F (7,-10) and was rotated around the origin. EF became E’F’ with coordinates E’ (4,5) and For (10,7

monitta

Answer:

90° CCW

Step-by-step explanation:

If we assume you intend F'(10, 7), point F has been transformed by the rule ...

(x, y) ⇒ (-y, x)

The transformation rule (x, y) ⇒ (-y, x) represents a 90° CCW rotation.

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1 year ago

Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in b

stich3 [128]

Answer:

The equations are:

$T = 2Y$ and $T + 2Y = 15$

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

In the first statement, we have that:

$T = 2Y$

Reading further; In the second statement

$T + 2Y = 15$

Hence, the equations are:

$T = 2Y$ and $T + 2Y = 15$

Solving further:

Substitute 2Y for T in the second equation

$2Y + 2Y = 15$

$4Y = 15$

Divide both sides by 4

$Y = \frac{15}{4}$

$Y = 3.75$

Recall that

$T = 2Y$

$T= 2 * 3.75$

$T= 7.5$

7 0

1 year ago

Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D = {(x, y) |

Bas_tet [7]

Answer:

$M=168k$

$(\bar{x},\bar{y})=(5,\frac{85}{28})$

Step-by-step explanation:

Let's begin with the mass definition in terms of density.

$M=\int\int \rho dA$

Now, we know the limits of the integrals of x and y, and also know that ρ = ky², so we will have:

$M=\int^{9}_{1}\int^{4}_{1}ky^{2} dydx$

Let's solve this integral:

$M=k\int^{9}_{1}\frac{y^{3}}{3}|^{4}_{1}dx$

$M=k\int^{9}_{1}\frac{y^{3}}{3}|^{4}_{1}dx$

$M=k\int^{9}_{1}21dx$

$M=21k\int^{9}_{1}dx=21k*x|^{9}_{1}$

So the mass will be:

$M=21k*8=168k$

Now we need to find the x-coordinate of the center of mass.

$\bar{x}=\frac{1}{M}\int\int x*\rho dydx$

$\bar{x}=\frac{1}{M}\int^{9}_{1}\int^{4}_{1}x*ky^{2} dydx$

$\bar{x}=\frac{k}{168k}\int^{9}_{1}\int^{4}_{1}x*y^{2} dydx$

$\bar{x}=\frac{1}{168}\int^{9}_{1}x*\frac{y^{3}}{3}|^{4}_{1}dx$

$\bar{x}=\frac{1}{168}\int^{9}_{1}x*21 dx$

$\bar{x}=\frac{21}{168}\frac{x^{2}}{2}|^{9}_{1}$

$\bar{x}=\frac{21}{168}*40=5$

Now we need to find the y-coordinate of the center of mass.

$\bar{y}=\frac{1}{M}\int\int y*\rho dydx$

$\bar{y}=\frac{1}{M}\int^{9}_{1}\int^{4}_{1}y*ky^{2} dydx$

$\bar{y}=\frac{k}{168k}\int^{9}_{1}\int^{4}_{1}y^{3} dydx$

$\bar{y}=\frac{1}{168}\int^{9}_{1}\frac{y^{4}}{4}|^{4}_{1}dx$

$\bar{y}=\frac{1}{168}\int^{9}_{1}\frac{255}{4}dx$

$\bar{y}=\frac{255}{672}\int^{9}_{1}dx$

$\bar{y}=\frac{255}{672}8=\frac{2040}{672}$

$\bar{y}=\frac{85}{28}$

Therefore the center of mass is:

$(\bar{x},\bar{y})=(5,\frac{85}{28})$

I hope it helps you!

3 0

2 years ago

Ethan enjoys buying books and going to the movies. He has income of $150 to spend on these two goods each month. The price of a

erica [24]

Answer: A

Step-by-step explanation:

A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.

B.) the substitution and income effects would both predict Ethan would consume less of both goods.

C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.

D.) the substitution and income effects would both predict Ethan would consume more of both goods.

If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.

A global efect of a certain good (X) price rise can be divided into 2 efects:

substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.

So, answer is A.

5 0

2 years ago