Answer:
3.
2.
1.
Step-by-step explanation:
3. Every 25 is worth 4, and since 3 by 4 is 12, 3⁄25 gets set to ",12", then attach the <em>whole number</em> [4] to it, giving you 4,12.
2. Every 15 is worth 6⅔, and since 7 by 6⅔ is 46⅔, moving the decimal mark twice to the <em>left</em> will give you the above answer, in <em>bar</em><em> </em><em>notation</em>, since it is a repeated decimal.
1. Every 8 is worth 12½, and since 7 by 12½ is 87½ [87,5], moving the decimal mark twice to the <em>left</em><em> </em>will give you 0,875.
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Answer:
y = 8 · 10ˣ
Step-by-step explanation:
y = abˣ
When x = 0, y = 8.
8 = ab⁰
8 = a
When x = 3, y = 8000.
8000 = 8b³
1000 = b³
10 = b
The function is:
y = 8 · 10ˣ
£17.50 is 50% of what number
Now the same in math:
£17.50 = .50 x n pr £17.50 = .5n
Divide both sides by .5
n= £ 35
Answer: Telescopes use lenses or mirrors to collect and focus waves from the electromagnetic spectrum, including visible light, allowing us to look at celestial objects. By studying the electromagnetic waves given off by objects such as stars, galaxies, and black holes, astronomers can better understand the universe.
Step-by-step explanation:
Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.
We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n
We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12
We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n)
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0
Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n
4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8
Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16