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Ratling [72]
3 years ago
8

The ratios in an equivalent ratio table are 3:12,4:16, and 5:20. If the first number in the ratio is 10, what is the second numb

er? Justify your reasoning
Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

40

Step-by-step explanation:

If you think about it, the pattern is: Multiply by 4.

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X = 10<br><br> x = 2<br><br> x = two divided by five.<br><br> x = 11
KengaRu [80]

Answer:

x = 10

Step-by-step explanation:

You can try the answers to see which works. (The first one does.)

Or, you can solve for the variable:

Divide by 75

... (1/5)^(x/5) = 3/75 = 1/25

Recognize that 25 = 5^2, so ...

... (1/5)^(x/5) = (1/5)^2

Equating exponents, you have

... x/5 = 2

... x = 10 . . . . . multiply by 5

_____

You can also start by taking logarithms:

... log(75) +(x/5)log(1/5) = log(3)

... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log

... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression

... x = 10 . . . . . multiply by 5

_____

"Equating exponents" is essentially the same as taking logarithms.

5 0
3 years ago
The product of a number w and 737
Nimfa-mama [501]
The product (multiplication) of a number w and 737.

737w
7 0
3 years ago
If you were to roll two dice, how many different ways could you roll double fours?
muminat

Answer:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice

Step-by-step explanation:

5 0
3 years ago
Kayla ran from her home to a beach at a speed of 6 meters per second. the distance from her home and the beach was 756 meters. A
german
Looking at the units, 756 meters divided by 6 m/s will give you the seconds that you need.

So for A) 756/6 = 126

For B, you take the answer from A, and subtract 18 seconds, which would make it 108.  Then you take the distance, 756 and divide by 108, that will be the speed.
5 0
3 years ago
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %.This year the price is ​$17
ozzi
The increase is $984 and the new price is $18,875
8 0
3 years ago
Read 2 more answers
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