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Dovator [93]
3 years ago
12

How many learners can enrol if there are 12 teachers and a ratio of teachers to learners is 30:1

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

360 learners

Step-by-step explanation:

One way to solve these types of problems is that you could set up a proportion

learners/teachers = learners/teachers

Let x = no. of learners to enrol

30/1 = x/12

12(30) = x

x = 360 learners

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I’m doing edg unit test what is the answer to. Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?
sertanlavr [38]

Answer:

(4x + 1)(x² - 2)

Step-by-step explanation:

Given

4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )

= x²(4x + 1) - 2(4x + 1) ← factor out (4x + 1) from each term

= (4x + 1)(x² - 2)

6 0
2 years ago
Please help and explain with these 2 math questions!!!!!!
Volgvan

1)  -10x+y=4

Now, you should substitute x in every situation.

* x=-2 <em>=> -10*(-2)+y=4... 20+y=4... <u>y=-16</u></em>

<em />* x=-1 =>-10*(-1)+y=4... 10+y=4... <u>y=-6</u>

<u />*x=0 => -10*0+y=4... <u>y=4</u>

<u />* x=1 =>  -10*1+y=4... -10+y=4... <u>y=14</u>

<u />* x=2 => -10*2+y=4... -20+y=4... <u>y=24</u>

<u>2)</u> -5x-1=y

For example: x=0

-5*0-1=-1

<u>
</u>



6 0
3 years ago
I need to find the perimeter and area of the regular polygon.
mezya [45]
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways. 

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31

The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31

We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48

Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72
7 0
3 years ago
Solve the system by substitution<br> y=-6x<br><br> -2x-7y=40
never [62]

Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

------------------

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

6 0
3 years ago
Given f(x) = -* -<br> - 5, solve for x when f(x) = -3.
Ne4ueva [31]

Answer:

x = -2

Step-by-step explanation:

Step 1: Define

f(x) = -x - 5

f(x) = -3

Step 2: Substitute and Evaluate

-3 = -x - 5

2 = -x

x = -2

7 0
3 years ago
Read 2 more answers
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