In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?

Please try as much as possible to explain your answers.

Answer:

o

Step-by-step explanation:

o

thx for the points :D

Answer:

A , D , E

Step-by-step explanation:

Substitute x = 2 into f(x) and check if the result is 4

(a)

f(2) = 2² = 4 ← then f(2) = 4

(b)

f(2) = 2 + 6 = 8 ≠ 4

(c)

f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4

(d)

f(2) = 2² = 4 ← then f(2) = 4

(e)

f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4

Answer:

(x - 5)(x + 5)

Step-by-step explanation:

x² - 25 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 25

= x² - 5²

= (x - 5)(x + 5)

The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31

Given:

cost of two books = $4.99 + $12.99

= $17.98

Amount paid for books = $17.98 - 10% of $17.98

= 17.98 - 0.1 × 17.98

= 17.98 - 1.798

= $16.182

Cost of notebooks = quantity × price

= 2 × $2.88

= $5.76

cost of composition books = quantity × price

= 3 × $0.79

= $2.37

cost of pencil packs = quantity × price

= 2 × $1.89

= $3.78

Total cost = $5.76 + $2.37 + $3.78

= $11.91

Amount paid for school supplies = $11.91 - 15% of $11.91

= 11.91 - 0.15 × 11.91

= 11.91 - 1.7865

= $10.1235

Therefore,

total cost of all items Gina bought = $16.182 + $10.1235

= $26.3055

Approximately, $26.31

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Answer:

the correct answer is 37°

Step-by-step explanation:

just simple geometry haha

Answer:

37

Step-by-step explanation:

( x + 71 ) and 108 are vertically opposite angles.

Vertically opposite angles are equal.

x + 71 = 108

x = 108 - 71

x = 37

Answer: X=5

Step-by-step explanation:  Because if you subtract 10-(-5) it = 5

Answer:

0, 1, 2

Step-by-step explanation:

Hi there!

0

It is possible for a line and a circle to not intersect at all.

1

It is also possible for a line and a circle to meet at one point only. They would be tangent to each other and touch.

2

Finally, it is possible for a line to intersect the circle. They would appear overlapping. In any of these cases where a line intersects a circle, they would have crossed the circle at two points.

3

A line and a circle can only have a total number of 2 intersection points.

I hope this helps!

Answer:21600

Step-by-step explanation:

Multiply 60 by 2, then by 3. Add 120 and 180 to get 21600.

Step-by-step explanation:

[tex] \sf{ \longmapsto \: D.f(t)=20,000(1.08)t}[/tex]

Answer:32mm

Step-by-step explanation:

area of triangle = 1/2 *base * height

192mm2 = 1/2 *b* 12mm

192 =6b

base=192/6

base= 32mm

Answer:

1 ÷ 6

Step-by-step explanation:

1/6 is the same as 1 ÷ 6

In the same way, 2/3 would be 2 ÷ 3

Hope this helps!

Answer:

What is the two perfect squares of 237?

Step-by-step explanation:

The Two perfect squares of 237

I guess It didn't have any square

although its square is 15.39480432

Answer:

d) subpolar zone

Answer:

y=1,425-×3

Step-by-step explanation:

the x has to be divided by the 1/3

Answer: 1(a) $120

(ii a) $34

Step-by-step explanation:

21-19 = 2

$6/2=3

21x 3( one ratio =$3) =63

19x3 = 57

63+57=120 - (1 A ans)

(ii a) 40x0.15 (percentage decrease)= 6

40-6 = $34

The total amount of money shared by Yasmin and Zak is $120.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

(i) The given ratio is 21:19

Let Zak be having $x, the Yasmin will be having $(x+6).

Now, 21/19 = x+6/x

21x=19x+114

2x=114

x= $57

So, x+6= 57+6 = 63$

Total 63+57=$120

(ii) Given that, Yasmin buys a blouse with an original price of $40.

In a sale, all prices are reduced by 15%.

Now, 15% of 40

= 15/100 ×40

= 0.15×40

= 6

New cost =40-6

= $34

Therefore, the sale price of the Yasmin's blouse is $34.

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Answer:

28°

Step-by-step explanation:

1. We can see that ∠GFH has two smaller angles within it: ∠1 and ∠2. Given that m∠GFH is 53° (the whole thing), and m∠2 is 25° (a part of it), we just have to subtract 25 from 53 to get the measure of ∠1.

Therefore, m∠1 = 28°.

Answer: The Inverse Function goes the other way: So the inverse of: 2x+3 is: (y-3)/2. The inverse is usually shown by putting a little "-1" after the function name, like this: f -1(y) We say "f inverse of y". So, the inverse of f(x) = 2x+3 is written: f -1(y) = (y-3)/2.

Step-by-step explanation:

Hope this helps!

Answer:

= 6x

Step-by-step Evaluation:

Evaluate for x=6

((−2)(−3))(6)

((−2)(−3))(6)

=36

(hope this helps you) :)

Answer:

14. 6 × 10^7

15. 6 × 10^14

16. 7.2 × 10^-7

17. 8.5 × 10^-2

18. 23 × 10^5, 6.9 × 10^6, 72 × 10^5

19. 1.89 × 10^-4, 2.5 × 10^-4, 19 × 10^-3

20. 3.125 × 10^-5

21. 3.1536 × 10^9

Step-by-step explanation:

14.

15.

16.

17.

18.

19.

Answer:

90 000 000 000 Grains

Step-by-step explanation:

one grain equal approximately 0.00007 grams.

convert 6300 kg into grams (multiply by 1000) and that equals 6 300 000g.

divide that by the weight of a single grain and you get the number of grains in that weight. So 6300000/0.00007=90 000 000 000 grains.

The number of grains of sand are there in 6300 kg of sand is 90,000,000.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Given that, one grain of this sand approximately weighs [tex]7\times10^{-5}[/tex] g.

6300 kg of sand

Number of grains = [tex]\frac{6300}{7\times10^{-5}}[/tex]

= [tex]900\times10^5[/tex]

= 90,000,000

Therefore, the number of grains of sand are there in 6300 kg of sand is 90,000,000.

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Answer:

I think the number on top will be 3

Answer:

50%

Step-by-step explanation:

Since the dice was only rolled twice, that would give youa  50/50 chance of getting any number on the dice, as it was only rolled once obviously.

Step-by-step explanation:

125 is vertically opposite to the interior angle of triangle

then X+40+X+31+125=180(sum of angle of triangle is 180)

the we get X= -22

Answer:

52.5

Step-by-step explanation:

Just subtract 65-12 which is 53. Take away 0.5 to get 53.5

Answer:

The sunflower was 52.9 inches when the gardner last measured.

Step-by-step explanation:

a) x + 12.1 = 65 in.

b) To solve this problem, use inverse operations to find x variable. Since this problem has addition, we will have to use subtraction. 65 - 12.1 = 52.9. So, 52.9 would be your answer.

-kiniwih426

The answer is x = 88

Answer:

y8/x10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

cause math

Answer:

what is this question asking for

25 minutes

(6*1000)/240

Answer:

x = 1, y = 1

x = -2, y = -8

x = 3, y = 7

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

10x-30+5x = 180

Combine like terms

* 15x-30 = 180

Add 30 from both sides

* 15x 30+-30 = 180+30

Divide 15 both sides

* 15x/15x = 210/15x

x = 14

Hope this helps :)