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olga2289 [7]
3 years ago
11

in a game of tug of war your team changes -1 3/10 feet in position every 10 seconds. What is your change in position after 30 se

conds?
Mathematics
1 answer:
Harman [31]3 years ago
5 0

Answer:

Change in position after 30 seconds will be - \frac{26}{10}

Step-by-step explanation:

Given:

Change on position in every 10 seconds = -1 \frac{3}{10}

To Find:

Change in position after 30 seconds = ?

Solution:

For every 10 seconds the team  changes a distance of -1 \frac{3}{10} feet

After first 10 seconds

The change in position  will be -1 \frac{3}{10} feet = -\frac{13}{10}

After next 10 seconds i.e., after 20 seconds

The change in position will be   = - \frac{13}{10}  + - \frac{13}{10}

=> - \frac{26}{10}

After next 10 seconds i.e., after 30 seconds

The change in position will be   =  - \frac{26}{10} + - \frac{13}{10}

=> - \frac{39}{10}

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12. The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each.
Debora [2.8K]

Answer:

The number of tickets they have sold in advance are summed up with the following equation and solution:

Equation: \frac{6842.50}{17.50} [the final answer should be in dollars]

Solution: The Opera sold 391 tickets in advance.

Step-by-step explanation:

First: Review some background information:

Let's see what the problem gives us to answer it. I'll bold out the important parts:

The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each. If they have collected $6842.50 already, then how many tickets have they sold in advance?

We know how much the tickets cost and how much money they have earned from selling tickets, we can find out how much tickets they have sold.

Second: Solve the problem:

We can solve this problem using many ways, but I'm just going to pick one. We will use proportions to answer this. Now thoughts might be going through your head like this: What is this guy saying? What in the world is proportions? Well hopefully you learn from this example (Please don't take offense if you <em>do</em> know how to do proportions).

First we set up two fractions. One ticket costs $17.50, so we will use it to set up our first fraction: \frac{1}{17.50}. We don't know how many tickets all together cost $6842.50 so we will use the variable: x. Now, we can set up our second fraction. x tickets costs $6842.50 so our second fraction will be: \frac{x}{6842.50}. Now we must use cross multiplication. We multiply the numerator of the first fraction times the denominator of the second fraction, and then we multiply the denominator o the first fraction times the numerator of the second fraction. That's what we would do usually. But now, since we have a variable, we must use cross multiplication to solve for this variable. So we multiply the the numerator of the first fraction times the denominator of the other fraction and then we divide that answer times the denominator of the first fraction (You don't have to set it up like this).So let's solve this question:

\frac{1}{17.50}  \frac{x}{6842.50}

1 x 17.50 = 17.50

6842.50 ÷ 17.50 = 391

So our equation is 6842.50 ÷ 17.50, and our solution is 391 tickets

Topic: Proportions

6 0
3 years ago
Please Simplify the expression 15 + 3 - 2(2 - 1) Thanks in advance!
liberstina [14]
So my take on this
15 + 3 -2(2 - 1)
15 + 3 -2(1)
15 +3 -2
18 - 2 = 16
8 0
3 years ago
What is the common difference in the sequence -40,-22,-4,14
mario62 [17]

Answer:

-18

Step-by-step explanation:

This is rather simple is it not?

To find the difference between the numbers, we simply have to subtract one from another. -40-(-22) , which can be simplified into -40+22 because subtracting a negative from a negative is simply done by adding the second negative as a positive to the first negative. Therfore -40+22 = -18 which is your answer.

-18 is how much each number is subtracted to get the next.

8 0
3 years ago
Work out the value of (2x10^4)+(7x10^3) in standard form
nlexa [21]

Answer:

<h2><u>27000x</u></h2>

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Find the unknown number 5/12+()=1/2
xenn [34]

Hello from MrBillDoesMath!

Answer:    1/12


Discussion:

We solve  5/12 + x = 1/2 for x. Begin by subtracting 5/12 from each side

5/12 - 5/12 + x  =    1/2 - 5/12

0                  +x =    6/12 - 5/12      (as 1/2 = 6/12)

So x = 1/12

Regards, MrB

8 0
3 years ago
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