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3 years ago

Plz help with part b

Mathematics

1 answer:

klemol [59]3 years ago

4 0

Answer: 1/3 pounds of butter

Step-by-step explanation: as you can see on the top of the screenshot. itstates that there was 1/2 pounds of butter and that they used 1/3 for the recipe. therefore she used 1/3 pounds of butter in the

recipe

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PLZ SHOW ALL WORK

lara31 [8.8K]

Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width: w = 12 - 2x
length: l = 18 - 2x
height: h = x

Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x

Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6

Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160

Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224

And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.

3 0

3 years ago

What is the perimeter of the figure to the nearest tenth of a millimeter?

Pavlova-9 [17]

We have to calculate the perimeter of the figure to the nearest tenth of a millimeter. This figure is made of a rectangle and a half of a circle. The first figure has the perimeter: 3 + 6 + 3 = 12 mm. The second figure has the perimeter: 2 * Pi * r / 2 = Pi * r ; and the radius : r = 6/2 = 3 mm. So Pi * 3 = 3.14 * 3 = 9.42. Fimally : 12 + 9.42 = 21.42 or 21.4 to the nearest tenth. Answer: C. 21.4 millimeters<span>. </span>

7 0

3 years ago

What is the fewest number of quarters, nickels, and pennies that can be fairly exchanged for 2 quarters, 6 nickels, and 9 pennie

adoni [48]

Answer:

Your answer is 3 quarters, 2 nickels, and 4 pennies

Step-by-step explanation:

2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!

4 0

3 years ago

One of your employees is bidding on a carpet installation job. They estimate that it will take 3 hours to install 12 square yard

Charra [1.4K]

Answer:

No, the bid is not correct.

Step-by-step explanation:

One of your employees is bidding on a carpet installation job.

They estimate that it will take 3 hours to install 12 square yards of carpeting.

we know that 1 square yard= 9 square foot.

12 square yard= 12×9 square foot=108 square foot

i.e. it takes 3 hours to carpet 108 square foot.

Hence time taken to carpet 1 square foot= $\dfrac{3}{108}$ hour

Now the dimension of room is:

11' 6"× 12' 9" i.e. we convert both the units to foot as:

1 foot= 12 inch

11'6"=11+(6/12)=11.5 foot.

and 12'9"=12+(9/12)=12.75 foot.

Hence, dimension of room=11.5 foot×12.75 foot

Hence area of room=11.5×12.75=146.625 square foot.

Time to carpet 146.625 square foot=

$\dfrac{3}{108}\times 146.625$ hour

=4.0729 hour

But it is given that it takes 12.3 hours to install the carpet.

Hence, the calculations were wrong.

6 0

3 years ago

Read 2 more answers

Please any one can help me on this

riadik2000 [5.3K]

Yes, answer choice D is correct.Answer now!

5 0

3 years ago