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Vikentia [17]
3 years ago
7

A roller coaster travels at a constant rate. If the roller coaster travels a total of 2,070 meters in 30 seconds, how many meter

s does the roller coaster travel in 1 second?
Mathematics
2 answers:
Darya [45]3 years ago
7 0

Answer:

69

Step-by-step explanation:

To do this question, you have to do 2,070 divided by 30 so your answer would be 69

worty [1.4K]3 years ago
6 0

Answer:

I am pretty sure it is 69 meters per 1 second

Step-by-step explanation:

Because you divide 2070 with 30 and you get 69.

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Paha777 [63]
X-int = -2
y-int = -5/2

7 0
3 years ago
The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 l
4vir4ik [10]

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

a+b+c=180

We also know that the first number is 10 more than the mean of the three numbers <em>(Note: the mean is the sum of the numbers divided by the number of numbers).</em> Thus:

a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30

Finally the second number is 4 less than the mean:

b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12

Now we have our set of equations and we can proceed to solve them:

a+b+c=180\\2a=b+c+30\\2b=a+c-12

Solving for a in our first equation we have: a=180-b-c and substituting this in our second equation we have:

2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c

Now taking this last result into our first equation we have:

a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70

Now we are going to solve for b in our second equation and substitute this in our third equation: b= 180-a-c

2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c

But we know that a =70, so we can substitute it in our last line:

124=a+c\\124=70+c\\54=c

Now we just need to find b and we can use our first original equation to do this:

a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56

8 0
4 years ago
What is the result of (x^2 – 10x) – (–5x^2 + x)?
Tanzania [10]

Answer:

( {x}^{2}  - 10x) - ( - 5 {x}^{2}  + x) \\  {x}^{2}  - 10x + 5 {x}^{2}  - x \\  \boxed{6 {x}^{2}  - 11x}

<h3>(6x²-11x) is the right answer.</h3>
6 0
3 years ago
10 plus what number equals -4
Georgia [21]

Answer:

10 + x =  - 4 \\  x =  - 4 - 10 \\ x =  - 14

6 0
4 years ago
Read 2 more answers
What is the arithmetic sequence of a1=228 n=28 sn=2982
Art [367]

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

213=228+an

an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

-243=27d

d=-243/27

d=-9

arithmetic sequence  can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15

3 0
3 years ago
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