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d1i1m1o1n [39]
3 years ago
7

A university has 29,970 students. In a random sample of 285 students, 19 speak three or more languages. Predict the number of st

udents at the university who speak three or more languages
Mathematics
1 answer:
hodyreva [135]3 years ago
4 0
Set up a proportion.
Let x = the number of students in 29970 who speak 3 or more languages.

285/19 = 29970/x Cross multiply
285 x = 19 * 29970
285x = 569430
x = 569430/285
x = 5415 students speak 3 languages.
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Two angles are complementary their difference is 26 degrees find the measures of each angles
Nuetrik [128]

Good morning ☕️

Answer:

<h2>32° and 58°</h2>

-by-step explanation:

Let x be the measure of angle 1

and y be the measure of angle 2

The Two angles are complementary

means

x + y = 90

their difference is 26 degrees

means

x - y = 26

x + y = 90 (1)

x - y = 26  (2)

(1) - (2) ⇒2y = 64 ⇒ y =32°

therefore x = y + 26 = 58°

___________________________

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4 0
3 years ago
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Given that 5W = 2P + 3R find the value of P when W = 4 and R = −4
Olenka [21]

Answer:

P = 16

Step-by-step explanation:

Given

5W = 2P + 3R ← substitute W = 4 and R = - 4 into the equation

5(4) = 2P + 3(- 4), that is

20 = 2P - 12 ( add 12 to both sides )

32 = 2P ( divide both sides by 2 )

16 = P

5 0
3 years ago
Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain. PLEASE HELP! WILL MARK BRAINLIEST!!!!
ludmilkaskok [199]

Answer:  A parallelogram is a rectangle.

Step-by-step explanation:

This is always true. Â Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. ... A parallelogram is a rectangle.

5 0
2 years ago
Of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?​
Olin [163]

Answer:

15

15

10

Step-by-step explanation:

3/8 x £40 = £15 for Sarah

3/8 x £40 = £15 for Fiona

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6 0
3 years ago
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 In a​ company, 80​% of the workers are women. If 480 men work for the​ company, how many workers are there in​ all? Use pencil
nekit [7.7K]

Answer:

The total workers are<u> 2400.</u>

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

<u><em>In first way:</em></u>

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be x.

According to question:

20\%\ of \ x=480

⇒\frac{20}{100} \times x=480

⇒0.20\times x=480

⇒0.20x=480

Dividing both sides by 0.20 we get:

⇒x=2400.

Total workers = 2400.

<em><u>Now, in second way</u></em>.

Again, let the total workers be  x.

According to question:

x-80\%\ of\ x=480

⇒x-\frac{80}{100}\times x=480

<em>On solving:</em>

⇒x-0.80x=480

⇒0.20x=480

<em>Dividing both sides by 0.20 we get:</em>

⇒x=2400.

<em>Total workers = 2400.</em>

Therefore, the total workers are <u>2400</u>.

7 0
3 years ago
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