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2 years ago

30 POINTS HELP ME-

Mathematics

2 answers:

julsineya [31]2 years ago

7 0

Answer:

Step-by-step explanation:

I just had to do $120/$30= 30

Ray Of Light [21]2 years ago

4 0

Answer:

Number line graph with closed circle on 30 and shading to the right

because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.

THIS ANSWER ISN'T MINE. I TOOK IT FROM AN ANSWER TO THE SAME QUESTION ANOTHER USER POSTED.

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Select the correct answer from each drop-down menu. Ashley has 500 songs in his music player. Every week he adds 10 songs to his

Sergio [31]

500 (the current collection) + 10 (the weekly addition) x 20 (weeks to add)

500 + 10*20 (Multiplication comes before addition)

500+200

700

another way I can phrase it

500 total right now

each week he adds 10

after 20 weeks he will have x books

20 weeks=10 times 20 books added=200 books added

500+200=700

answer is 700

7 0

3 years ago

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You are creating an open top box with a piece of cardboard that is 16 x 30“. What size of square should be cut out of each corne

Arada [10]

Answer:

$\frac{10}{3} \ inches$ of square should be cut out of each corner to create a box with the largest volume.

Step-by-step explanation:

Given: Dimension of cardboard= 16 x 30“.

As per the dimension given, we know Lenght is 30 inches and width is 16 inches. Also the cardboard has 4 corners which should be cut out.

Lets assume the cut out size of each corner be "x".

∴ Size of cardboard after 4 corner will be cut out is:

Length (l)= $30-2x$

Width (w)= $16-2x$

Height (h)= $x$

Now, finding the volume of box after 4 corner been cut out.

Formula; Volume (v)= $l\times w\times h$

Volume(v)= $(30-2x)\times (16-2x)\times x$

Using distributive property of multiplication

⇒ Volume(v)= $4x^{3} -92x^{2} +480x$

Next using differentiative method to find box largest volume, we will have $\frac{dv}{dx}= 0$

$\frac{d (4x^{3} -92x^{2} +480x)}{dx} = \frac{dv}{dx}$

Differentiating the value

⇒ $\frac{dv}{dx} = 12x^{2} -184x+480$

taking out 12 as common in the equation and subtituting the value.

⇒ $0= 12(x^{2} -\frac{46x}{3} +40)$

solving quadratic equation inside the parenthesis.

⇒ $12(x^{2} -12x-\frac{10x}{x} +40)$ =0

Dividing 12 on both side

⇒ $[x(x-12)-\frac{10}{3} (x-12)]$ = 0

We can again take common as (x-12).

⇒ $x(x-12)[x-\frac{10}{3} ]$ =0

∴ $(x-\frac{10}{3} ) (x-12)= 0$

We have two value for x, which is $12 and \frac{10}{3}$

12 is invalid as, w= $(16-2x)= 16-2\times 12$

∴ 24 inches can not be cut out of 16 inches width.

Hence, the cut out size from cardboard is $\frac{10}{3}\ inches$

Now, subtituting the value of x to find volume of the box.

Volume(v)= $(30-2x)\times (16-2x)\times x$

⇒ Volume(v)= $(30-2\times \frac{10}{3} )\times (16-2\times \frac{10}{3})\times \frac{10}{3}$

⇒ Volume(v)= $(30-\frac{20}{3} ) (16-\frac{20}{3}) (\frac{10}{3} )$

∴ Volume(v)= 725.93 inches³

6 0

3 years ago

Type the correct number in the blank

Mademuasel [1]

Answer:

4.11

Step-by-step explanation:

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2 years ago

Plot the points A(-2.-3), B(-3,0) C(3,2) and D(4,-1) what type of quadrilateral is abcd?

puteri [66]

Do you have a picture I'll show you

8 0

3 years ago

Consider a rectangle with width of x units and an area of 10 square units. The length 1 of the rectangle can be

slavikrds [6]

Answer:It’s C

Step-by-step explanation:

6 0

3 years ago

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