All categories

2 years ago

Shayna pays 20 for 5 bottles of juice. What is the unit price for the bottles of juice?

Mathematics

1 answer:

Goshia [24]2 years ago

3 0

20/5 = 4
therefore the unit price for the bottles of juice is 4

You might be interested in

The volume of a box that is the shape of a cube is 343 in3. What is the perimeter (distance around a figure) of one face (side)?

VLD [36.1K]

A^3=343 in^3
take the cubic root
a=7
Perimeter= 7in+7in+7in+7in=28inch

4 0

3 years ago

Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti

Vikki [24]

Answer:

General Solution is $y=x^{3}+cx^{2}$ and the particular solution is $y=x^{3}-\frac{1}{2}x^{2}$

Step-by-step explanation:

$x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}$

This is a linear diffrential equation of type

$\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)$ ..................(i)

here $p(x)=\frac{-2}{x}$

$q(x)=x^{2}$

The solution of equation i is given by

$y\times e^{\int p(x)dx}=\int e^{\int p(x)dx}\times q(x)dx$

we have $e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}$

Thus the solution becomes

$\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+c$ $y=x^{3}+cx^{2$

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have $6=8+4c$

Thus solving for c we get c = -1/2

Thus particular solution becomes

$y=x^{3}-\frac{1}{2}x^{2}$

5 0

4 years ago

What is the simplified expression for 5ab+9ab-ab?

Serggg [28]

The simplified expression should be
ab(5+9-1)
once factorized

8 0

3 years ago

Given the two vertices and the centroids of a triangle, how many possible locations are there for the third vertex?

hoa [83]

Answer:

Step-by-step explanation:

The centroid is the average of the coordinates of the three vertices. If you know two vertices (A and B) and the centroid (Q), then the third vertex (C) is ...

C = 3Q -A -B

It has only one possible location.

7 0

3 years ago

C= 6x+100 and c=10x+80 <br> what number does x have to be for c to be the same on each equation?

slega [8]

Answer:

x= 5 , for c to be same on each eqn

7 0

2 years ago