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1 year ago

PLEASE HELP!!

2 answers:

6 0

There is 128 ounces in one gallon. So for two it would be 256 oz. He bought 256 oz.

Then since it’s $28.16 just divide that by 256 oz which would give you $.11.

So $0.11 per fluid ounce.

Verizon [17]1 year ago

6 0

Answer: 11 Cents per ounce of Juice

Step-by-step explanation:

The first step here is going to be to find how many ounces are in a gallon. This can be determined as shown using the given information you stated above:

1 gallon * 4 quarts * 2 pints * 2 cups * 8 ounces = 128 ounces in 1 gallon

Step 2 is multiplying 128 ounces by 2 because we have two gallons of juice in the bottle:

128 ounces per gallon* 2 gallons = 256 ounces

Step 3 is dividing the total cost of the juice, which is $28.16, by the number of total number ounces (256)

$28.16 / 256 ounces = .11 dollars per ounce <em>(aka 11 cents per ounce)</em>

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The vertex of the graph of a quadratic function is (2.-1) and they intercept is (0,7). Which of the following is the equation of

Sophie [7]

$\text{The vertex formula:}\\\\f(x)=a(x-h)^2+k\\\\(h;\ k)-\text{the coordinates of the vertex}$
$\text{We have:}\\\\\text{the vertex}\ (2;\ -1)\to h=2;\ k=-1\\\\\text{y-intercept}\ (0;\ 7)\to f(0)=7$
$\text{substitute:}\\\\f(x)=a(x-2)^2-1\\\f(0)=7\to a(0-2)^2-1=7\ \ \ |+1\\\\4a=8\ \ \ |:4\\\\a=2$
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6 0

3 years ago

Which expression is equivalent to<br> 1/4

nika2105 [10]

Answer:

.25

Step-by-step explanation:

not sure what exactly you're looking for

7 0

4 years ago

Read 2 more answers

Trigonometry problem

IgorC [24]

Answer:

The values are x = 0° or x = 60°

Step-by-step explanation:

Given:

$\cos x + \frac{1}{\sqrt{3} }\times \sin x = 1$

Let it be in the form of

$a\cos x + b\sin x = 1$ such that

a = 1

$b=\frac{1}{\sqrt{3} }$

We have

$\sqrt{(a^{2}+b^{2} )}=\sqrt{(1^{2}+(\frac{1}{\sqrt{3} }) ^{2} )}\\=\sqrt{\frac{4}{3}}\\=\frac{2}{\sqrt{3} }$

Now, Dividing both the side by $\frac{2}{\sqrt{3} }$ we get

$\frac{\sqrt{3} }{2}\cos x + \frac{1}{2}\sin x =\frac{\sqrt{3} }{2}\\$

We Know

$\sin 60 =\frac{\sqrt{3} }{2}\\and\\\cos 60 = \frac{1}{2}$

Now by replacing with above values we get

$\sin 60\times \cos x + \cos 60\times \sin x = \frac{\sqrt{3} }{2}\\$

Also we have formula

$\sin A\times \cos B + \cos A\times \sin B = \sin (A+B)$

By applying the above Formula we get

$\sin (60+x)=\frac{\sqrt{3} }{2}\\$

Also ,

$\sin (60)=\frac{\sqrt{3} }{2}\\and\\\sin (120)=\frac{\sqrt{3} }{2}$

Comparing we get

60 + x = 60 or 60 + x = 120

∴ x = 0° ∴ x = 120 - 60 = 60°

Therefore, the values are x = 0° or x = 60° i.e between 0° to 360°

5 0

3 years ago

Factor out the following by taking out the GCF18cd^2+12c^2d+9cd

Arturiano [62]

The given polynomial is:

$18cd^2+12c^2d+9cd$

The first step to factor taking out the GCF is to write each term in prime factored form, so:

$\begin{gathered} 18cd^2=2\times3\times3\times c\times d\times d \\ 12c^2d=2\times2\times3\times c\times c\times d \\ 9cd=3\times3\times c\times d \end{gathered}$

The second step is to identify the factors common in all terms, they are: 3xcxd

Finally, factor out the GCF:

$3cd(6d+4c+3)$

The answer is above

5 0

1 year ago

X – 7y = –11<br> 5x + 2y = -18

laiz [17]

Answer:

hope this help you

Step-by-step explanation:

Simplifying

X + -7y = -11

Solving

X + -7y = -11

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7y' to each side of the equation.

X + -7y + 7y = -11 + 7y

Combine like terms: -7y + 7y = 0

X = -11 + 7y

Simplifying

X = -11 + 7y

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

Solving

5x + 2y = -18

Solving for variable 'x'.

Add '-2y' to each side of the equation.

5x + 2y + -2y = -18 + -2y

Combine like terms: 2y + -2y = 0

5x = -18 + -2y

Divide each side by '5'.

x = -3.6 + -0.4y

Simplifying

x = -3.6 + -0.4y

4 0

3 years ago