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3 years ago

What is the solution to the equation?A. h=11/3B.h=5C.h=21/2D. h=7

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

5 0

Answer:

D. h=7

Step-by-step explanation:

1 2 16

------ + ------------ = ----------

h-5 h+5 (h^2 -25)

1 2 16

------ + ------------ = ----------

h-5 h+5 (h-5)(h+5)

Since h^2 -25 factors in (h-5) (h+5) ( it is the difference of squares)

We will multiply both sides by (h-5) (h+5) to clear the fractions

(h-5) (h+5) 2 (h-5) (h+5) 16 (h-5) (h+5)

------ + ------------ = ----------

h-5 h+5 (h-5)(h+5)

Canceling like terms

(h+5) 2 (h-5) 16

------ + ------------ = ----------

1 1 1

h+5 + 2(h-5) = 16

Distribute

h+5 + 2h -10 = 16

Combine like terms

3h-5=16

Add 5 to each side

3h-5+5 =16+5

3h =21

Divide each side by 3

3h/3 = 21/3

h = 7

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Hi guys please help meee

Lisa [10]

<h3>Answer: 10</h3>

=======================================================

Explanation:

We'll start off converting each mixed number into an improper fraction.

The formula to use is $A \frac{b}{c} = \frac{A*c+b}{c}$

So,

$A \frac{b}{c} = \frac{A*c+b}{c}\\\\2 \frac{1}{8} = \frac{2*8+1}{8}\\\\2 \frac{1}{8} = \frac{16+1}{8}\\\\2 \frac{1}{8} = \frac{17}{8}\\\\$

And,

$A \frac{b}{c} = \frac{A*c+b}{c}\\\\2 \frac{2}{3} = \frac{2*3+2}{3}\\\\2 \frac{2}{3} = \frac{6+2}{3}\\\\2 \frac{2}{3} = \frac{8}{3}\\\\$

So the task of computing $2 \frac{1}{8} \times 2 \frac{2}{3}$ is exactly the same as computing $\frac{17}{8} \times \frac{8}{3}$

Notice how we have an 8 up top and an 8 down below. Those 8's cancel out and we're left with $\frac{17}{3}$ . That fraction does not reduce any further.

The last step is to convert that improper fraction result to a mixed number.

$\frac{17}{3} = \frac{15+2}{3}\\\\\frac{17}{3} = \frac{15}{3}+\frac{2}{3}\\\\\frac{17}{3} = 5+\frac{2}{3}\\\\\frac{17}{3} = 5 \frac{2}{3}\\\\$

Or you could note that 17/3 leads to 5 remainder 2. The 5 is the whole part and the 2 forms the numerator of the fractional part 2/3.

The value is in $A \frac{b}{c}$ form where

A = 5
b = 2
c = 3

Therefore, A+b+c = 5+2+3 = 10

8 0

2 years ago

Read 2 more answers

You start driving north for 24 miles, turn right, and drive east for another 10 miles. At the end of driving, what is your strai

yawa3891 [41]

Answer:

26 miles

Step-by-step explanation:

Given: 24 miles drive to north.

10 miles drive to east.

Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).

Now, using Pythogorean theoram to find straight line distance from starting point.

h²= a²+b²

Where, h is hypotenous

a is opposite leg

b is adjacent leg.

⇒h²= $24^{2} + 10^{2}$

⇒ $h^{2} = 576+100$

⇒ $h^{2} = 676$

Taking square root on both side, remember; √a²= ±a

⇒ $h=\sqrt{676}$

∴ $h= \pm 26$

Ignoring -26 as distance cannot be negative.

Hence, 26 miles is the straight line distance from starting point.

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3 years ago

Pharmacy Technician Rolando received a prescription for 150 calcium carbonate tablets for the patient. Rolando used 1/3 of the s

Feliz [49]

450

If he used 1/3 of the stock bottle, then you have
150=1/3x

Now, you multiply both sides by 3, which gives you

450=x

So, originally there were 450 bottles in the stock bottle

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3 years ago

6th grade math help me pleasee

JulsSmile [24]

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2 years ago

4x+7=64 i need the answer

irina [24]

Answer:

jniancun

Step-by-step explanation:

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2 years ago

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