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Gwar [14]
3 years ago
14

How to rationalize

{4\sqrt{1}7 }" alt="\frac{17}{4\sqrt{1}7 }" align="absmiddle" class="latex-formula">? Please explain.
Mathematics
1 answer:
dem82 [27]3 years ago
8 0

Answer:

\frac{\sqrt{17}}{4}

Step-by-step explanation:

Rationalizing the denominator of a fraction is when one multiplying fraction such that it removes any radical from the denominator. This can be done by multiplying both the numerator and the denominator by the radical that is present in the denominator. In fractional terms, a number over itself is equal to one, therefore, doing this would keep the equation true. After multiplying, one will simplify the resulting fraction.

\frac{17}{4\sqrt{17}} * \frac{\sqrt{17}}{\sqrt{17}}\\\\= \frac{17\sqrt{17}}{4(17)}\\

Simplify like factor found in both the numerator and the denominator,

\frac{17\sqrt{17}}{4(17)}\\\\= \frac{\sqrt{17}}{4}

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Solve to find x 3/4 (5x-3) + 8 = 17
Talja [164]

Answer:

3

Step-by-step explanation:

3/4 (5x -3)+8=17

3/4 (5x -3) = 17 - 8 = 9

(5x -3) = 9 * (4/3)= 36/3 = 12

5x = 12 + 3 = 15

x = 3

6 0
3 years ago
What is the distance, in units, between (3, -5) and (8, 7) in the coordinate plane?
Rufina [12.5K]
Yes, 13 is correct
If you draw the right triangle, the two legs will be 5 and 12.
5 and 12 are parts of a Pythagorean triple. 13 completes the triplet.
4 0
3 years ago
Equity Refers to:
Gnoma [55]

Answer:

ownership in a company

Step-by-step explanation:

the answer is option B

8 0
3 years ago
Read 2 more answers
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
kap26 [50]

Answer:

4800+183x\geq 8000

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let x be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

\frac{3*6,100}{100} =183

Now we know that she makes $183 per policy sold. Since x is the number of policies sold, 183x is her total commission for selling x policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

4800+183x

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

4800+183x\geq 8000

Let's solve the inequality:

1. Subtract 4800 from both sides

4800-4800+183x\geq 8000-4800

183x\geq 3200

2. Divide both sides by 183

\frac{183x}{183} \geq \frac{3200}{183}

x\geq 17.48

Since she can't sell a fraction of a policy, we must round the result to the next integer:

x\geq 18

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0
3 years ago
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 32° = _____
Advocard [28]

Answer

0.63

Explanation:

Given the expression

tan 32

Using Calculator

tan 32 = 0.6248

Converting to nearest hunderdth

tan 32 = 0.63

hence tan 32 to the nearest hunderdth is 0.63

5 0
1 year ago
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