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BabaBlast [244]
1 year ago
7

When p = 12, t = 2, and s= 6, r= 18. If r varies directly with p and inversely with the product of s and t, what is the

Mathematics
1 answer:
Luda [366]1 year ago
7 0

Answer:

r=kp/s×t

18=12k/6×2

18=12k/12

k=18

r=18p/s×t

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Find the value of x that solves the system shown below.<br> y = 5x<br> 2x - y = 18
cestrela7 [59]
Since 5x is equal to y.we can write 5x instead of y in the equation.and then solve the equation

7 0
3 years ago
The sum of 3 consecutive odd numbers is 177. What is the value of the smallest number in the sequence
riadik2000 [5.3K]

Ok this is a very question that can solved very easily. So we know that there three numbers, and they are consecutive, this means that they are all one bigger than the number before so for example 1,2, and 3 or 20, 21, and 22. These numbers are called consecutive. Now let's just pretend that the answer to this question is the variable "x". Now x is the smallest number in all the three numbers.

Using our knowledge of consecutive numbers we can say that the next to numbers will be one more than the number before so:

(x+1) and (x+2)

So we have our three numbers: x , x+1 , and x+2. Now let's set these numbers equal to 177.

177 = x + x + 1 + x + 2 → Combine like terms.

177 = 3x + 3 → Subtract 3 from both sides.

174 = 3x → Divide both sides by 3

58 = x

So that means that our first and smallest number is going to be 58 our second number will be +1 so 59 and our third number will be +2 so 60.

So the three numbers will be 58, 59, and 60.

Hope this helped.

4 0
3 years ago
1. The population of a small town has established a growth rate of 3% per year. If the
Rasek [7]

Answer:

17 years

Step-by-step explanation:

3% of 2000 = 60

3000-200 = 1000

1000 ÷ 60= 16.6666666667

Round to the nearest whole number: 17

8 0
3 years ago
On the day of his 18th birthday harry decided to start saving money regularly
Veseljchak [2.6K]

We have been given that on the day of his 18th birthday Harry decided to start saving money regularly . Starting on that day, he could save 30.00 on the same date every month. We are asked to find the amount saved by the day before Harry's 60th birthday.

First of all, we will find years from 18 years to 60 years.

\text{Years}=60-18=42

We know that 1 year equals 12 months.

\text{42 years}=12\times 42\text{ Months}=504\text{ Months}

To find total amount saved, we will multiply 504 months by amount saved per month.

\text{Total amount saved}=\$30\times 504

\text{Total amount saved}=\$15,120

Therefore, Harry would have saved \$15,120 by the day before his 60th birthday.

3 0
3 years ago
Is the following relation a function? *
spayn [35]

Answer:

No.

Step-by-step explanation:

Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.

The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).

8 0
3 years ago
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