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SVEN [57.7K]
3 years ago
8

What ratio is equivalent to 15:20

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
7 0
A ratio stays equivalent when you multiply or divide the same thing to both numbers, just like fractions:

First of all, you can simplify it to

3:4 by dividing both numbers by 5.

Now you can multiply both numbers by 5 to get 75:100

Finally, you can multiply both numbers by 3 to get the ratio 45:60
Gelneren [198K]3 years ago
4 0
You can find an equivalent ratio by either simplifying or multiplying your values. To simplify this example, just divide the numerator and denominator by the GCF which is 5
15/5 = 3, 20/5 = 4
So a ratio that is equivalent to 15:20 is 3:4
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lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

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  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

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Bytecoin is a new cryptocurrency that is currently valued at $243 per coin. You want to make an investment and purchase 1 Byteco
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Answer:

Step-by-step explanation:

The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as

y = ab^x

y = b(1 + r)^ t

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y represents the value of the coin after x months.

x represents the number of months.

a represents the initial value of the coin.

b represents rate of growth.

From the information given,

a = 243

b = 1 + 15/100 = 1 + 0.15 = 1.15

Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as

y = 243(1.15)^x

If y = 1000, it means that

1000 = 243(1.15)^x

1000/243 = 1.15^x

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Taking log of both sides, it becomes

log 4.115 = xlog1.15

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x = 0.614/0.061

x = 10 months

It will take 10 months

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Answer:

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Step-by-step explanation:

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