A large university accepts ​40% of the students who apply. Of the students the university​ accepts, 35​% actually enroll. If 30000 students​ apply, how many actually​ enroll?

Answer:

one solution

Step-by-step explanation:

-2x - 4 = x - 5

-3x - 4 = -5

-3x = -1

x = 1/3

y = 1/3 - 5

y = 1/3 - 15/3

y = -14/3

(1/3, -14/3)

Answer:

59.04°

Step-by-step explanation:

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

We solve using the Trigonometric function of Tangent

tan x = Opposite/ Adjacent

tan x= 50 ft/30ft

x = arc tan (50 ft/30 ft)

x = 59.036243468°

Approximately = 59.04°

Answer:

(-1,-4)

Step-by-step explanation:

Answer:

mean=(4+7+3+8)/4=22/4=5.5

Answer:

10.7a−8.1b

I hope I helped you!

Answer:

Sixth day

Step-by-step explanation:

Keep adding 2 until you get to 13

Answer: The answer is ACTUALLY C

Step-by-step explanation:

REMEMBER: The radius is always half of the diameter.

So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...

SOLID PROOF:  

Answer:

a) aₙ = n+5 → 6,7,8,9,10....

b) aₙ = 5n  → 5,10,15,20,25...

c) aₙ = 3n+5 → 8,11,14,17,20

d) aₙ = 5n+3 → 8,13,18,23,28

Step-by-step explanation:

Explanation

Given [tex]n^{th}[/tex] term of the sequence

aₙ = n+5

Put n =1

a₁ = 1+5 =6

put n =2

a₂ = 2+5 =7

Put n=3

a₃ = 3+5 =8

and so on

The sequence  6,7,8,9,10....

b)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n

Put n=1 ⇒ a₁ = 5

put n=2 ⇒ a₂ = 10

and so on

5,10,15,20,25..

c)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5

put n=1 ⇒   a₁ =8

Put n=2  ⇒ a₂ =11

Put n=3  ⇒ a₃ = 14

and so on

The sequence  8 , 11, 14 , 17 , 20 ..

d)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3

Put n=1 ⇒ a₁ = 8

Put n=2⇒ a₂ = 13

Put n=3 ⇒a₃ = 18

and so on

The sequence 8,13,18, 23..

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27

Answer:

Step-by-step explanation:

6(2x+ 10) = x - 61

12x + 60 = x - 61

11x + 60 = -61

11x = -121

x = -11

6y= -11 - 61

6y = -72

y = -12

(-11, -12)

y=2x+10

Swap sides so that all variable terms are on the left hand side.

2x+10=y

Subtract 10 from both sides.

2x=y−10

Divide both sides by 2.

2

2x

​  

=  

2

y−10

​  

Dividing by 2 undoes the multiplication by 2.

x=  

2

y−10

​  

Divide y−10 by 2.

x=  

2

y

​  

−5

SOLVE FOR Y

y=2(x+5)  

6y=x−61

Swap sides so that all variable terms are on the left hand side.

x−61=6y

Add 61 to both sides.

x=6y+61

SOLVE FOR Y

y=  

6

x−61

​  

Answer:

I did no math but just by looking at it am like 70 percent sure it's 6.2

Answer:

Angle PSQ is 61°

Step-by-step explanation:

In the triangle ΔPQR, we have;

m∠QPS = 65°

m∠PRQ = 43°

Line PSR is a straight line

m∠PQS : m∠SQR = 3:1

Therefore;

∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle

∴ ∠PQR = 180° - (65° + 43°) = 72°

∠PQR = 72°

∠PQR = m∠PQS + m∠SQR by angle addition postulate

m∠PQS : m∠SQR = 3:1

∴ m∠PQS = 3 × m∠SQR

∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR

∠PQR = 4 × m∠SQR

∴ 4 × m∠SQR = ∠PQR = 72°

m∠SQR = 72°/4 = 18°

m∠PQS = 3 × m∠SQR = 3 × 18° = 54°

m∠PQS = 54°

∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem

∴ ∠PSQ = 180° - (65° + 54°) = 61°

Angle ∠PSQ = 61°.

Answer:

(-1,2)

Step-by-step explanation:

Answer:

-0.0714 approx

Step-by-step explanation:

78x − 12 = 316x + 5

Bring all the like terms together

78x -316x = 5 + 12

-238x = 17

∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)

Answer:

11 and 7

Step-by-step explanation:

11+7=18, and 11 x 7=77

Hope I helped!

Answer:

i think it is 11 and 7

Step-by-step explanation:

Answer:

1, 2, 4, 13, 26, 52 = 52's factors

Step-by-step explanation:

6 factors of 52

Answer:

6

Step-by-step explanation:

1, 2, 4, 13, 26, 52.

Answer:

2nd answer choice No, 6/2 does not equal 2/24 :)

Step-by-step explanation:

6/2=3 while 24/10=2.4

Another way you could think about it:

6*2=12

2+2=4

6*3=18

4+2=6

6*4=24

6+2=8

So 24 ounces of the shake would only be 8 grams of protein.

Answer:Percent Increase n the number of parts usually made = 80%

Step-by-step explanation:

Percent Increase = (Increase / Initial Number of parts made daily)  X 100/1

Initial Number of parts made daily = 45

Current number of parts ,made daily = 81

Percent Increase = 81-45/ 45 x 100

=36/45 x100/1

= 0.8 x 100

= 80%

Answer:

80 percent

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Area of a parallelogram= bh

b- base

h- height

y in your problem would be the base and h would be the height

Answer:

the blank= 12.82

Step-by-step explanation:

Answer:

12.82

Step-by-step explanation:

x = blank

x / (-2) = -6.41

multiply both sides by -2

x = 12.82

Answer:

8m+-9n

Step-by-step explanation:

Answer:

1: 1/5

3: 0.1875

5: 0.5333

Step-by-step explanation:

I used a calculator.

Hope this helps :)

Answer:

1. 1 1/12

2. 3/16

3. 8/15

Step-by-step explanation:

Answer: The functions values are greater than 0 over the interval.

Step-by-step explanation:

To tell if a function is positive over a given interval, see if it's below the x-axis or if it's under (since the x-axis represents 0).

If the interval is above the x-axis, it's positive (greater), and if it's below, it's negative (less).

Answer:

Hey you helped me with a different would u mind helping me with more?

Step-by-step explanation:

Answer: 3(x-3)/4-1/2=2/3  

Step-by-step explanation:

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Answer:

12

Step-by-step explanation:

got it right on my quiz