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tresset_1 [31]
3 years ago
11

The energy saving from recycling one glass bottle will power the oven for 7.5 minutes. Glass used for recycling costs 5p per kg.

a glass bottle weighs 500 grams how much would the recycled glass cost to power the oven for 6 hours
Mathematics
2 answers:
trapecia [35]3 years ago
6 0

energy saving from recycling one bottle will power the oven for 7.5 minutes

a glass bottle weighs 500 g

the cost of recycling glass is 5 p per kg

1 glass bottle weighs - 0.5 kg

therefore cost of recycling one glass bottle is -0.5 kg x 5 p per kg = 2.5 p

so to power the oven for 7.5 minutes - 1 glass bottle is used

6 hours is equivalent to 6 x 60 = 360 minutes

therefore to power for 360 minutes - 1/7.5 x 360 = 48 glass bottles are needed

and the cost for 1 glass bottle is - 2.5 p

therefore for 48 glass bottles cost is - 2.5 p/bottle x 48 bottles = 120 p

1 p is 0.01 dollars

so the cost in dollars is - 120 p x 0.01 dollars/p = $ 1.20

answer is $ 1.20

natulia [17]3 years ago
3 0
Okay, it's 24p.
1. Let's find out how many bottles will it take to power the oven for 6 hours.
6x60 will be 360 (minutes). Then we divide 360 by 7.5. Move the decimal to the right on both sides. 3600 divided by 75. It's 48 bottles for 6 hours.
2. 1 kg=1000 g. 1 bottle is 500 g. 48 divided by 2. 24p.

I hope that was helpful. Have a great day.
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Please help! Thanks in advance.
alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
6 0
4 years ago
Leon spins both spinners. How many outcomes are in the sample space?
Artist 52 [7]

Answer:

20 Outcomes.

Step-by-step explanation:

A-1 A-2 A-3 A-4

B-1 B-2 B-3 B-4

C-1 C-2 C-3 C-4

D-1 D-2 D-3 D-4

E-1 E-2 E-3 E-4

Hope this helps!

5 0
3 years ago
Zorba ate 75% of his carrots. He started with 24 carrots. How many carrots are left?
Stella [2.4K]

Answer:

6

Step-by-step explanation:

75% of 24=18

24-18=6

5 0
3 years ago
Read 2 more answers
The floor at a roller skating rink is 72.25 feet long and 51.5 feet wide. How much longer is the rink than it is wide?
Phoenix [80]
72.25 - 51.5= <span>20.75
it is 20.75 feet longer</span>
3 0
3 years ago
Lexi had 3/4 of an apple pie. She gave 1/4 of what she had to her friend Julie. What fraction of the whole pie did Julie get?
Murljashka [212]

Answer:

<u>3/16 of the whole pie</u>

Step-by-step explanation:

Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.

==========================================================

Solving :

Therefore, the equation is :

⇒ 3/4 × 1/4

⇒ <u>3/16 of the whole pie</u>

4 0
2 years ago
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