3 years ago

Create a proportion using the form %/100=is/of to represent the following word problem. 78% of what number is 42?

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

First 42/78% to get 1% then multiply the number by 100% to get around 53 11/13

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Solving Rational equations. LCD method. Show work. Image attached.

Ugo [173]

Answer:

$k=\frac{1}{2}$

Step-by-step explanation:

The given rational equation is

$\frac{5k}{k+2}+\frac{2}{k}=5$

The Least Common Denominator is

$k(k+2)$

Multiply each term by the LCD.

$k(k+2)\times \frac{5k}{k+2}+k(k+2)\times \frac{2}{k}=5k(k+2)$

Simplify;

$k\times \frac{5k}{1}+(k+2)\times \frac{2}{1}=5k(k+2)$

$\Rightarrow k(5k)+2(k+2)=5k(k+2)$

Expand;

$\Rightarrow 5k^2+2k+4=5k^2+10k$

Group similar terms;

$\Rightarrow 5k^2-5k^2+2k-10k=-4$

$\Rightarrow -8k=-4$

Divide by -8.

$k=\frac{1}{2}$

5 0

3 years ago

Melissa is standing 40 ft from a tree. The angle of elevation from where she is standing on the ground to the top of the tree is

bagirrra123 [75]

Tan(angle) = opposite length/ adjacent length

Tan(50) = h/40
h = 40 x tan(50)
h = 47.67 or 47.7 feet

3 0

3 years ago

Read 2 more answers

johnnys baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. the team has a total of 11

lapo4ka [179]

Given that Johney's baseball had raised $1,456 out of $2,000 they need to play the tournament.

Amount of money they still need to raise is given by $2,000 - $1,456 = $544.

Given that there is a total of 11 players in the team. Let x represent the total amount each player needs to raise, then x = $544 / 11 = $49.45

Therefore, each player needs to raise $49.45

8 0

4 years ago

Just a little help for Brainliest

Viefleur [7K]

Answer:

what are you calculating here

Step-by-step explanation:

7 0

3 years ago

HELP PLZ !!!<br><br> 4) what is the value of x to the nearest tenth ? <br><br> refer to image above

Jlenok [28]

Answer:

x = 34.9 to the nearest tenth.

Step-by-step explanation:

tan 64 = opposite side / adjacent side = x / 17.

x = 17 * tan 64

= 34.855

7 0

4 years ago