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3 years ago

Please help me out here! Only B, not A.

Mathematics

1 answer:

Eduardwww [97]3 years ago

4 0

I entered into a graphing website and this is what I got. :)

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Which choice is equivalent to the fraction below? Hint: Rationalize the denominator and simplify.

inna [77]

Answer:

$\boxed{\text{D. }3\sqrt{2}}$

Step-by-step explanation:

Multiply numerator and denominator by √2

$\dfrac{6}{\sqrt{2}} = \dfrac{6}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\= \dfrac{6\sqrt{2}}{2}\\\\= \boxed{3\sqrt{2}}$

4 0

3 years ago

Read 2 more answers

? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i

Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 $cm^{3}$ equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 $cm^{3}$ equals 0.034 oz.

By unitary method:

0.034 oz = 1 $cm^{3}$

1 oz = $\frac{1}{0.034}$

13.46 oz = $\frac{1}{0.034}\times13.46 =395.88 \ cm^{3}$

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 $cm^{3}$ . Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = $\pi r^{2} h$

$395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}$

By cross multiplication:

$395.88\times 7 =198\ h\\2771.16= 198\ h$

By dividing both side by 198

$h = 13.99$ $cm$

Therefore, height of the mug to the nearest centimeter is 14 cm.

6 0

3 years ago

Read 2 more answers

(17+8)-6x2 what is the value

zlopas [31]

Pemdas, ok first 17 plus 8 is 15, 6 times 2 is 12 , so 15 minus 12 is 3. answer is 3

6 0

2 years ago

Read 2 more answers

a factory makes 718 toy trains in one day .the toy trains are placed in boxes of 30 in what place will the first digit of the qu

ycow [4]

The first digit of the quotient is the first number of the answer of your division problem. the answer is 2

6 0

3 years ago

huong and kathyrn each day impeoved their yards by planting rose bushes and ornamental grass. they bought their supplies from th

marta [7]

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

$14r+7g=70\\5r+14g=71$

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

$(*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3$

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

$14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4$

Thus, 1 bunch of ornamental grass is $4.

5 0

3 years ago