The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?

Answer:

x = 19

Step-by-step explanation:

∠ YWX = ∠ ZYW = 2x ( alternate angles )

The sum of the 3 angles in Δ WXY = 180° , that is

3x - 5 + 2x + 90 = 180

5x + 85 = 180 ( subtract 85 from both sides )

5x = 95 ( divide both sides by 5 )

x = 19

Answer:

636,528 Rs

7,638,336 Rs

Step-by-step explanation:

Total wage bill per month = wage of each worker x number of employees

267 x  Rs 2384  = 636,528 Rs

Wage bill for the year = monthly wage bill x 12

636,528 Rs x 12 = 7,638,336 Rs

Answer:

A

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

Paula's 3 scores are greater than 15 and less than 26

p> 21 implies her score is greater than 21. this is wrong because there is a score of 15

Answer:

Y intercept = (0;6)

X intercept = (42/5;0)

Answer:

(0.30, 0.42)

Step-by-step explanation:

Given the sample proportion is = 0.36

Number of trials required for determining the margin of the error = 100

Sample size, n = 50

The point estimate = 0.36

The minimum sample proportion form the simulation = 0.28

The maximum sample proportion from the simulation = 0.40

Also the margin of the error of population proportion is found by using the half of the range.

Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]  Where all the percents (except 100) would go in part

and the whole number would go in whole

[tex]\frac{25}{100} =\frac{?}{24}[/tex]  Then multiply 24 × 25 ÷ 100 = 6

[tex]\frac{15}{100} =\frac{?}{60}[/tex]  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

Answer:

6.48

Step-by-step explanation:

you have to had the left then divide the right

Answer:

x=-6

Step-by-step explanation:

1. Move the variable to the left-hand side and change its sign

3x-4-2x=-10

2. Collect like terms

x=-10+4

-10+4= -6

Answer:

y = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-2(y - 4) = 18

Step 2: Solve for y

Answer:

True

Step-by-step explanation:

You can see that Angle 5 is slightly greater than 90°, so it is obtuse

Angle 8 is less than 90°, and is acute

Since obtuse angles are larger than acute angles, Angle 5 is greater than Angle 8.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: Purchase Price: $85.  Discount: (85 x 24)/100 = $20.40

Final Price:

85 - 20.40 = $64.60

Answer:

63.60, or 63.6, or 67,  how u round it

Step-by-step explanation:

Smartness

9514 1404 393

Answer:

  -17

Step-by-step explanation:

Let x represent the smallest of the integers. Then their sum is ...

  x +(x+1) +(x+2) +(x+3) = -62

  4x +6 = -62 . . . . . . . . . . . . . . . collect terms

  4x = -68 . . . . . . . . . .subtract 6

  x = -17 . . . . . . . divide by 4

The least of the four is -17.

(a) 6

(b) 9

The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.

(a) To find the units of the square of -2346,

i. First find the square of (-2346)

(-2346)² = (-2346) x (-2346) = 5503716

ii. Now find the rightmost digit.

The rightmost digit of 5503716 is 6.

Therefore, the units of the square of (-2346) is 6

(b) To find the units of the square of -5677,

i. First find the square of (-5677)

(-5677)² = (-5677) x (-5677) = 32228329

ii. Now find the rightmost digit.

The rightmost digit of 32228329 is 9.

Therefore, the units of the square of (-5677) is 9

Answer:

2/23

Hope this helps!

Answer:

-3, - 2, - 1, 0, 1, 2, 3, 4

Step-by-step explanation:

The blue line of the number line can have its inequality range written as :

Since both startibg and endpoints are shaded :

-1 ≤ x ≤ 4

The red line can also be written as :

Only the start is shaded:

-3 ≤ x < 2

Listing out the values :

Blue line :-1 ≤ x ≤ 4

-1, 0, 1, 2, 3, 4

The red line : -3 ≤ x < 2

-3, - 2, - 1, 0, 1, 2

Combining both values :

-3, - 2, - 1, 0, 1, 2, 3, 4

Answer:

The probability will be "10.83%".

Step-by-step explanation:

According to the question,

Workers read e-mail,

= 57%

= 0.57

Write down important notes,

= 19%

= 0.19

Now,

The probability of worker who reads e-mail while in meeting and writes important notes will be:

= [tex]P[email \ reading \ during \ meeting]\times P[writes \ important \ notes][/tex]

By putting the values, we get

= [tex]0.57\times 0.19[/tex]

= [tex]0.1083[/tex]

= [tex]10.83[/tex] %

Answer:

16 minute 30 seconds

Step-by-step explanation:

1 minute 30 seconds = 1.5 minutes

1.5 x 21 = 31.5 minutes

One person will make 10, one person makes 11.

11

11× 1.5 = 16.5

10× 1.5 = 15

16.5 is the answer

Answer: The area is  (800)

Step-by-step explanation: (10x 10= 100)

(100 x 8= 800)

FINAL ANSWER: 800m

~ i really hope this is correct, have a gr8 day/night my friend!~

Answer:

20 is the answer I got

Answer:

y < [tex]\frac{1}{4} x+3[/tex]

Step-by-step explanation:

(-4, 2) (4, 4)

4 - 2 = 2

4 - - 4 = 8

slope = 1/4

y intercept is 3 because the inequality goes up 3 units

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

Step-by-step explanation:

Hey there!

According to the question;

Side (a) = 4cm

To find : area

Now;

[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]

[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]

[tex]area \: = 4 \sqrt{3} [/tex]

Therefore, area of triangle is 6.92 cm² or 4√(3) cm².

Hope it helps!

Answer:

20°C

Step-by-step explanation:

64-32 =32

32 ×5 =160

160/9 = 17.8

17.8 rounded to the nearest tenth is 20°C.

Answer:

0.88 is the correct answer

Answer:

Both are correct

I'm only checking the first page

Step-by-step explanation:

Answer:

Step-by-step explanation:

The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.

The 4th page the bottom one is wrong the correct answer is -22.

Answer:

x = -7/13 and x = 7/6

Step-by-step explanation:

Using the zero factor property, set each factor equal to zero, and solve for x:

13x + 7 = 0

13x = -7

x = -7/13

Solve the other factor:

6x - 7 = 0

6x = 7

x = 7/6

So, the solutions are x = -7/13 and x = 7/6

Answer:

7 hours

Step-by-step explanation:

He drove 35 total miles so he would rest 35/5 hours. 35/5 is equal to 7 hours.

The answer is that he rested for 7 hours.

Answer:

product means multiplication (×) so what ever is the depth of the pool is multiplied by 4

Step-by-step explanation:

what is the depth of the pool?