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stiv31 [10]
3 years ago
7

70% of a school budget is spent on teachers, 10% on other staff, and the rest on energy and resources. A Write the ratio of the

amount spent on teachers to other staff to energy and resources in its simplest form. B What fraction of the budget is spent on energy and resources? Write your fraction in its simplest form.
Mathematics
1 answer:
Vesna [10]3 years ago
7 0
A) 70:10:20 = 7:1:2
b) 20/100 = 2/10 = 1/5

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What is the 100th term of the arithmetic sequence? 3, 8, 13, 18, …
zzz [600]
First work out the nth term then the 100th term:

the difference between the numbers is: 5
and that zero term is: -2

so the nth term is: 5n - 2

-------------------------------------------------------------
now using the nth term we replace n with 100,
then we get: 498

the answer is the above in bold
hope it helped :)
7 0
3 years ago
Read 2 more answers
​You have enough fencing to create square pen with an area of 529 yd.2 Find the ​length of each side​ of the fence. What would b
professor190 [17]

The length of each side of the fence is 23 yards

The perimeter of the square pen is 92 yards

The diameter of the round pen would be 29.30 yards

The area of the round pen would be 673.91 yards²

The round pen gives the greatest area

Step-by-step explanation:

Let us revise some rules

1. Area of the square = L², where L is the length of its side

2. Perimeter of the square = 4 L

3. Area of the circle = π r², where r is the length of its radius

4. Circumference of the circle = 2 π r

∵ You have enough fencing to create square pen with an area of

   529 yd²

∵ Area of the square = L²

∴ L² = 529

- Take √ for both sides

∴ L = 23 yards

The length of each side of the fence is 23 yards

∵ Perimeter of the square = 4 L

∵ L = 23

∴ The perimeter of the square = 4(23) = 92 yards

The perimeter of the square pen is 92 yards

You want to create a round pen using the same fencing

The perimeter of the square pen is equal to the circumference of

the round pen

∵ The perimeter of the square pen = 92 yards

∵ Circumference of the circle = 2 π r

∵ π = 3.14

∴ 92 = 2(3.14) r

∴ 92 = 6.28 r

- Divide both sides by 6.28

∴ r = 14.64968 ≅ 14.65 yards

∵ Diameter of the circle = 2 r

∴ The diameter = 2(14.65)

∴ The diameter = 29.30 yards to the nearest hundredth

The diameter of the round pen would be 29.30 yards

∵ Area of the circle = π r²

∵ r = 14.65 yards

∴ Area of the round pin = 3.14(14.65)²

∴ Area of the round pin = 673.91 yards²

The area of the round pen would be 673.91 yards²

∵ The area of the square pen is 529 yards²

∵ The area of the round pen is 673.91 yards²

∴ The area of the round pen > the area of the square pen

The round pen gives the greatest area

Learn more:

You can learn more about the circle in brainly.com/question/3055705

#LearnwithBrainly

3 0
4 years ago
Help solve and please explain #36
neonofarm [45]
Do u need all of them solved
7 0
3 years ago
Read 2 more answers
Jim used his debit card to withdraw $35 from the ATM. Then, he wrote a check for $8.00. Which equation represents the total amou
alexgriva [62]
X - (35 + 8) = y
x = original amount in bank
y =  new amount in bank
7 0
3 years ago
9. Allen and his two brothers decide to purchase a video game system together. They determine
Bumek [7]

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90

3 0
3 years ago
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