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3 years ago

Solve for j in the literal equation h-4/j

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

3 0

Answer:

$h - 4 \div j = 0 \\ - 4 \div j = - h \\ 4 \div j = h \\ j = 4 \div h$

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? 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

How do I solve this?<br><br> x+1/x-2 > 0

Eduardwww [97]

Answer:

x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)

Step-by-step explanation:

$\frac{x+1}{x-2}>0\\ \\x+1>0=>x>-1\\\\x-2>0=>x>2$

x ∈ (+ 2 ; +oo)

$x+1x$

x ∈ (-oo ; - 1)

x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)

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3 years ago

Five cereal bars are shared equally by 2 students. How many does each student receive?

nata0808 [166]

Answer:

They each get 12.5

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2 years ago

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Adante begins to evaluate the expression 3 1/3 * 5 1/4

goldenfox [79]

For this case we must find the product of two mixed numbers:

$3 \frac {1} {3} = 3 + \frac {1} {3} = \frac {9 + 1} {3} = \frac {10} {3}\\5 \frac {1} {4} = 5 + \frac {1} {4} = \frac {20 + 1} {4} = \frac {21} {4}$

So, we have:

$\frac {10} {3} * \frac {21} {4} = \frac {10 * 21} {3 * 4} = \frac {210} {12} = \frac {105} {6} = \frac {35} {2}$

If we go to a mixed number we have:

$\frac {35} {2} = 17 \frac {1} {2}$

Answer:

$17 \frac {1} {2}$

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2 years ago

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Tpy6a [65]

Answer:

Ratio is 2:1

Step-by-step explanation:

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