Select the equation that contains the points, (-2,-2) and (4, 10).

Serena is making a large meatloaf that contains ground beef and ground pork. The beef is $3.50 per Pound and the pork is $2.00 p

I am Lyosha [343]

Hi there! :)

Answer:

Serena bought 0.75 pounds of pork and about 3.93 pounds of beef.

Step-by-step explanation:

Lets start by laying out the important information we know:

- Beef = $3.50/pound → 1 pound of beef = $3.50

- Pork = $2.00/pound → 1 pound of pork = $2.00

- Buys 0.75 pounds of pork → buys 0.75 of 1 pound of pork

- Buys x pounds of beef

- Spends $15.25 in total → 0.75 pounds of pork + x pounds of beef = $15.25

Once this is done, it's much easier to see what we are dealing with (when it's just a bunch of words it's a lot harder to understand).

Creating your algebraic equation:

Algebraically, your equation needs to be equal to the total amount that Serena spent on pork and beef.

She bought 0.75 of 1 pound of pork, which in other words means that she bought 0.75 of $2.00. The word "of" is the same thing as a multiplication sign. SO, all of this would translate into this: (0.75 × 2)

She then bought beef, but we don't know how much. What we can do is replace the "amount of pounds of beef she bought" with the letter "x". Remember, 1 pound of beef is $3.50. SO, all of this would translate into this: 3.50x

Your algebraic equation should look like this:

(0.75 × 2) + 3.50x = 15.25

Now all you need to do is solve this equation by isolating "x":

(0.75 × 2) + 3.50x = 15.25

1.5 + 3.50x = 15.25

Subtract 1.5 from each side of the equation → 15.25 - 1.5 = 13.75

3.50x = 13.75

Divide each side of the equation by 3.50 → 13.75 ÷ 3.50 = 3.92857143...

x ≈ 3.93

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

3 years ago

Find the surface area of a sphere that has a volume of 288 cu. in.

LenKa [72]

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have the volume = 288 in³. Substitute:

$\dfrac{4}{3}\pi R^3=288\qquad\text{multiply both sides by 3}\\\\4\pi R^3=864\qquad\text{divide both sides by}\ 4\pi\\\\R^3=\dfrac{216}{\pi}\to R=\sqrt[3]{\dfrac{216}{\pi}}\\\\R=\dfrac{\sqrt[3]{216}}{\sqrt[3]{\pi}}\\\\R=\dfrac{6}{\sqrt[3]{\pi}}\ in$

The formula of a surface area of a sphere:

$S.A.=4\pi R^2$

Substitute:

$S.A.=4\pi\left(\dfrac{6}{\sqrt[3]{\pi}}\right)^2=4\pi\cdot\dfrac{6^2}{\sqrt[3]{\pi^2}}=\dfrac{4\pi\cdot36}{\sqrt[3]{\pi^2}}=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\\\\S.A.=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\cdot\dfrac{\sqrt[3]{\pi}}{\sqrt[3]{\pi}}=\dfrac{144\pi\sqrt[3]{\pi}}{\sqrt[3]{\pi^3}}=\dfrac{144\pi\sqrt[3]{\pi}}{\pi}=\boxed{144\sqrt[3]{\pi}\ in^2}$

4 0

3 years ago

So I need to know what this equals. Im doing a input output project and I need help, can someone show their work if thats ok? Th

ZanzabumX [31]

Answer: x=1, y=4.162

X=2, y=5.022; x=3, y=5.882; x=4, y=6.742; x=5, y=7.602...

Step-by-step explanation:

We pick values for x, starting from 1.

When x=1,

Y = 0.860×1 + 3.302 = 4.162

When x=2,

Y = 0.860×2 + 3.302 = 5.022

When x=3,

Y = 0.860×3 + 3.302 = 5.882

When x=4,

Y = 0.860×4 + 3.302 = 6.742

When x=5,

Y = 0.860×5 + 3.302 = 7.602

...

4 0

3 years ago

PLEASE HELP ME ON #4!!

andre [41]

The answer to your question is
(x,y) = (12,1)

6 0

3 years ago

Read 2 more answers

Solve for x: 3x+1=7-3x

emmasim [6.3K]

Answer:

Step-by-step explanation:

3x + 1 = 7 - 3x

3x + 3x = 7 - 1

6x = 6

x = 6/6

x = 1

8 0

3 years ago

Read 2 more answers