MATHEMATICS HIGH SCHOOL

Only 2/17 of the teachers were sciolists. If 3000 were not sciolists how many teachers were there in all

Answers

Answer 1
Answer:

ANSWER:

3,400

STEP BY STEP:

If 2/17 were socialists, then 15/17 were not socialists.

So...

3000 = 15/17x

(x represents the total number of teachers)

Multiply by 17 on both sides.

51,000 = 15x

Divide by 15 on both sides.

3,400 = x

Total number of teachers:  3,400.
Answer 2
Answer: 1-(2)/(17)=(15)/(17)\n (15)/(17)--3000\n 1\ \ --x\n x=3400

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PLZ HELP 30 PIONTSWhen rewriting y = 2x + 1 in function notation, what do you replace with f(x)? A) 1 B) 2 C) f(y) D) y
Which expression is equivalent to 27x3 + 125?-) A) (3x - 5)(9x2 – 15x + 25) B) (3x - 5)(9x2 + 15x – 25) 0 (3x + 5)(9x2 - 15x + 25) D) (3x + 5)(9x2 + 15x – 25) I need help solving this please

A 150 Ohm electric toaster is powered with a voltage of 120 v, what is its current intensity

Answers

Intensity = Voltage ÷ Electerical Resistance

Intensity = 120÷ 150

Intensity = 12/15

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What is the inverse of the function f(x)=1/9x+2

Answers

Answer:

f^(-1)(x)=9x-18

Step-by-step explanation:

we have

f(x)=(1)/(9)x+2

Let

y=f(x)

y=(1)/(9)x+2

Exchange variables x for y and y for x

x=(1)/(9)y+2

Isolate the variable y

x-2=(1)/(9)y

y=9(x-2)

y=9x-18

Let

f^(-1)(x)=y

f^(-1)(x)=9x-18 -------> inverse function
f(x) = 1/9x+2

-2 from both sides

f(x)-2 = 1/9x

*2 to both sides

9(f(x)-2) = x

replace 'f(x)' with 'x'

9(x-2) = f(x^-1)

simplify and reverse sides

f(x)^-1 = 9x-18

On a baseball field, the pitchers mound is 60.5 feet from home plate. During practice, a batter hits a ball 186 feet at an angle of 40 degrees to the right of the pitchers mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does the outfielder throw the ball?!

Answers

Use cosine law to solve for x

x^2=60.5^2+186^2-2*60.5*186* cos(40^o)\nx^2=38,256.25-17,240.6\nx^2=21,015.65\nx= √(21,015.65) \nx=145

Answer:

The outfielder threw the ball 145 feet away.

Step-by-step explanation:

We are given that,

Distance of mound from home plate = 60.5 feet

Distance of outfielder from home plate = 186 feet

Angle made by the batter = 40°

So, using the cosine law, we have,

c^(2)=a^(2)+b^(2)-2ab\cos \theta

i.e. c^(2)=(60.5)^(2)+(186)^(2)-2* 60.5* 186* \cos 40

i.e. c^(2)=38256.25-22506* 0.766

i.e. c^(2)=38256.25-17239.596

i.e. c^(2)=21016.654

i.e. c = ±144.97 ≈ ±145

Since, the distance cannot be negative.

Thus, the outfielder threw the ball 145 feet away.

A triangle has sides of length 4, 7, and x. Which of the following could be the value of x ? Indicate all such values. A. 2.9 B. 4.5 C. 6.25 D. 7 E.12

Answers

Answer:

B, C , D

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

7 - 4 < x < 7 + 4

3 < x < 11

the only sides in this interval are

B 4.5 , C 6.25 and D 7

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?

Answers

There isn't any choices given in this problem but I can give you a tip to answer these kinds of problem. When you say independent, it means that the equation cannot be algebraically altered to result to 3x + 4y = 8. So the equation 6x + 8y = 16 is not an independent equation since when you divide each side by 2 it will result to 3x + 4y =8. You get the idea. 

Answer:

6x - 3y = 2

Step-by-step explanation:

took  test on edg 2021

A toy was origny 35 fillers is now naked 28 dollars what percentage was the toy marked down

Answers

(7)/(35) * 100 \% = 20\%

discount = 35-28 = 7
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