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2 years ago

What is the product of 5/12 x 3

Mathematics

1 answer:

Sliva [168]2 years ago

4 0

5/12 x 3/1 = 15/12 = 1 3/12
Simplified
1 1/4
Not simplified
1 3/12

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A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rect

AfilCa [17]

Let

x-------> the length side of the original cube

we have

$2x^{3} +8x=450\\2x^{3}=450-8x$

Divide by $2$ both sides

$x^{3}=225-4x$

The system of equations is equal to

$y=x^{3}$ --------> equation $1$

$y=225-4x$ --------> equation $2$

using a graphing tool

see the attached figure

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

$x=5.86\ in$

therefore

<u>the answer is</u>

$5.86\ inches$

6 0

3 years ago

Read 2 more answers

7,,,,,,,,,,,,,,,,,,,,please help

Goryan [66]

Answer:

Step-by-step explanation:

The given expression is

$\frac{2^{\frac{11}{2} }\times 2^{-7}\times 2^{-5}}{2^3\times 2^{\frac{1}{2} }\times 2^{-10}}$

Recall and use

$a^m\times a^n=a^{m+n}$

$\frac{2^{\frac{11}{2} -7-5}}{ 2^{3+\frac{1}{2} -10}}$

$\frac{2^{-\frac{13}{2}}}{ 2^{-\frac{13}{2}}}$

Same bases are dividing, so we write one base and subtract the exponent.

$2^{-\frac{13}{2}+\frac{13}{2}}$

$2^0=1$

8 0

2 years ago

Last year Chesa made 32 one-cup servings of soup for a school party this year she will make two times the amount of soup that sh

bogdanovich [222]

So she made 32 cups last year...she made 2 times as much this year...so she made 2(32) = 64 cups this year.

1 gallon = 16 cups
64/16 = 4 gallons
The answer is Chesa made 4 gallons of soup

6 0

2 years ago

Please help its only A B C D which should equal 105degree to prove that f // g?

ELEN [110]

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

∠b = 75° [Vertical angles]

If the lines f and g are parallel then,

∠b = ∠c [Corresponding angles]

Therefore, ∠c = 75°

Since m∠c + m∠d = 180° [Supplementary angles]

75° + m∠d = 180°

m∠d = 180° - 75°

m∠d = 105°

Therefore, measure of angle d should be equal to 105° to prove f and g are parallel.

Option (4) will be the answer.

5 0

2 years ago

Find the error with this proof and explain how it mat be corrected in order to clearly prove the equation.

enyata [817]

Answer:

Step-by-step explanation:

It is true that for any given odd integer, square of that integer will also be odd.

i.e if $m$ is and odd integer then $m^{2}$ is also odd.

In the given proof the expansion for $(2k + 1)^{2}$ is incorrect.

By definition we know,

$(a+b)^{2} = a^{2} + b^{2} + 2ab$

∴ $(2k + 1)^{2} = (2k)^{2} + 1^{2} + 2(2k)(1)\\(2k + 1)^{2} = 4k^{2} + 1 + 4k$

Now, we know $4k^{2}$ and $4k$ will be even values

∴ $4k^{2} + 1 + 4k$ will be odd

hence $(2k + 1)^{2}$ will be odd, which means $m^{2}$ will be odd.

7 0

2 years ago