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3 years ago

how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Mathematics

1 answer:

Alona [7]3 years ago

8 0

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

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Dr. Hudson has a clock decorating business. On her signature circular clock, she puts glitter tape around the outer trim. About

Monica [59]

Answer:

She will need to use 377 inches of glitter tape.

Step-by-step explanation:

Find the circumference of the circle by using the radius. The circumference of each clock is 37.7 inches. Multiply that by 10, because there are 10 clocks. That will give you your answer is 377 inches!

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3 years ago

Record Subtraction with Renaming

kotykmax [81]

2. 2 2/5
3. 2 1/2
4. 1/2
5. 4 3/5
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7. 2 4/5
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3 0

3 years ago

4. 2 x 500 = 1000

Harlamova29_29 [7]

Answer: B.) 9

Explanation:
28000 -> 28 and 3000 -> 3
3, 6, 9, 12, 15, 18, 21, 24, 27, 30
If we round 28 to the nearest multiple it’s 27
27 is 3x9
Mr.Ito changed his oil 9 times

8 0

3 years ago

I have a math problem im confused on don't mind the pencil

posledela

Answer: 261.5 in²

Step-by-step explanation:

Separate the image into three shapes:

Top (Trapezoid)
Middle (Rectangle)
Bottom (Rectangle)

Top (Trapezoid):

$A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\ =\dfrac{9+(4+6+4)}{2}\cdot 5\\\\\\.\ =\dfrac{23}{2}\cdot 5\\\\\\.\ =\dfrac{115}{2}\\\\\\.\ =\boxed{57.5}$

Middle (Rectangle):

$A=L\times w\\.\ =6\times 10\\.\ =\boxed{60}$

Bottom (Rectangle):

$A=L\times w\\.\ =18\times 8\\.\ =\boxed{144}$

$Area_{\ image}=Area_{\ Top}+Area_{\ Middle}+Area_{\ Bottom}\\.\qquad\qquad=57.5+60+144\\.\qquad\qquad=\large{261.5}$

8 0

3 years ago

PLEASE HELP: write a possible function, f(x), in factored form that could model the graph below

tatiyna

Hi there! Your answer is f(x) = x(x+3)²(x-4)

Please see an explanation for a clear and better understanding to your problem.

Any questions about my answer or explanation can be asked through comments! :)

Step-by-step explanation:

This type of graph is called Graph of Polynomial Function. They have a degree of n where n is the positive integer. The polynomial functions can be broken into these two categorizes:

Odd-Degree
Even-Degree

Note that they are for graph purpose only, may not appear in curriculum.

Odd-Degree functions will have graphs that start from negative infinity to positive infinity for f(x) term. Please see first and two attachments for a clear understanding.

Even-Degree functions will have graphs that start from positive infinity to positive infinity for f(x) term. Please see third and fourth attachment.

Therefore, the graph is even-degree polynomial because it starts from positive infinity where f(x) is decreasing to positive infinity where f(x) is increasing.

Next is to find a factored from of function. Factored forms are basically x-intercepts form of function. Please see the formula.

$\large\boxed{f(x)=(x-a)(x-b)(x-c)}$

This is an example of factored form. The x-intercepts are at a, b and c. Just like how you solve an equation.

So what we need to do is to find x-intercepts.

The graph has x-intercepts at these following:

x = -3 (Double)
x = 0
x = 4

Then we convert them into factored form including swapping from positive to negative and negative to positive. We should get:

$\large{f(x)=(x+3)^2(x+0)(x-4)}\\\large{f(x)=x(x+3)^2(x-4)}$

Notice if we multiply these, we'd get 4-degree polynomial.

[ Reference to double of x = -3 ]

The graph suddenly shifts up when f(x) = 0 on x = -3. Hence, implying that x = -3 are doubled also known as (x+3)(x+3) = (x+3)²

5 0

3 years ago