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galben [10]
3 years ago
5

2(10r-7)-2(1+10r)=-r+2r

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

r = -16

Step-by-step explanation:

We will use "distributive" property and "adding like terms" concepts in solving for the unknown variable "r".

The distributive property is:

a(b+c) = ab + ac

So

2(10r-7) = 20r - 14

also

-2(1+10r) = -2 - 20r

So, our equation becomes:

2(10r-7)-2(1+10r)=-r+2r\\20r-14-2-20r=-r+2r

Now we add like terms and move variables (r) to one side and numbers to another. Like terms mean:

3r + 5r = (3+5)r = 8r

So, we have:

20r-14-2-20r=-r+2r\\-16=r\\r=-16

So,

the value of r is -16

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Answer:

a. P=0.04

b. P=0.54

c. P=0.96

Step-by-step explanation:

If half of the college graduates are married, then we have:

- 21% are college graduates and married.

- 21% are college graduates and not married.

If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.

If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.

a) P=0.04 (explanation above)

b) P=0.54

c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.

P=1-0.04=0.96

8 0
3 years ago
At a university, 60​% of the students who apply. Of the students the university​ accepts, 25% actually enroll If 2000 students​
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Answer:

300 students are enrolled.

Step-by-step explanation:

As the university accepts 60% of the students who apply.

As 2000 students apply, it means that:

2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted

Out of these 1200, 25% enrolled

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Answer:

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Step-by-step explanation:

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Hope that helps :)

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Find m angle f to the nearest degree
dimaraw [331]

Answer:

∠F ≈ 53°

General Formulas and Concepts:

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse
  • sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

<u>Step 1: Define</u>

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

<u>Step 2: Find m∠F</u>

  1. Substitute:                    sin∠F = 8/10
  2. Simplify:                        sin∠F = 4/5
  3. Take sin inverse:          ∠F = sin⁻¹(4/5)
  4. Evaluate:                       ∠F = 53.1301°
  5. Round:                           ∠F ≈ 53°
8 0
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