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taurus [48]
3 years ago
6

Is this a direct variation problem

Mathematics
1 answer:
Llana [10]3 years ago
6 0
Yes and for a. You can just put y=x [y=1x is bascually the same but just the 1 isnt needed]
You might be interested in
What is the anwser to 3(2t+5)=5t+25
Elena L [17]

3(2t+5)=5t+25

Multiply the bracket with 3

(3)(2t)(3)(5)=5t+25

6t+15=5t+25

Move 5t to the other side. Sign changes from +5t to -5t

6t-5t+15=5t-5t+25

6t-5t+15=25

Move +15 to the other side. Sign changes from +15 to -15

6t-5t+15-15=25-15

6t-5t=10

1t=10

divide by 1

1/1t=10/t

t=10

Answer: t=10

6 0
3 years ago
Read 2 more answers
The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than
Law Incorporation [45]
Let K=average weight of an okapi and L=that of a llama.
3L=K+190 and K+L=450 so K=450-L. Therefore 3L=450-L+190, 4L=640, L=160kg and K=450-160=290kg.
Okapi weighs 290kg, llama weighs 160kg.
3 0
3 years ago
From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E
belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: y=a(b)^x

where a=initial value aka when x=0

in this case, b can be expressed as: 1+r, where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: y=16(1.0213)^x

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: 1.0213(16), which can be expressed as a 2.13% increase from year 0

When x=2, we get: 1.0213(1.0213(16)), which can be expressed as a 2.13% increase from year 1

when x=3, we get: 1.0213(1.0213(1.0213(16))), which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: y=16(1.0213)^7

Using a calculator this simplifies to approximately: 18.5436

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0
2 years ago
One indicator of physical fitness is a resting pulse rate. Ten men volunteered to test an exercise device advertised on televisi
Arlecino [84]
Yep that is right I totally agree
4 0
3 years ago
Solve the given problem.
fiasKO [112]
This is a word problem so translate to math so this is asking 6+(4/2) which is 8 
5 0
3 years ago
Read 2 more answers
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