Luisa mows lawns during the summer. She charges $15 if she cuts the grass but charges $5 more if she also trims the grass. Last week she trimmed 5 more yards than she cut. If she made $415 last week, how many yards did she trim?

Answers

Answer 1

Answer: Well, those 5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (do a division, 315/35=9).

Answer 2

Answer:

Answer:

315÷35=9

Step-by-step explanation:

5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (315÷35=9)

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7823 multiply10 to the power of 3.

Answers

The answer is 7,823,000

Answer: 7,823,000

Because 10 to the power of 3 means 1000, so 7823 times 1,000

Kevin drove for 4 hours and then stopped to eat dinner, the total distance he had driven at different time intervals is shown on the graph below. Using the information in the graph, determine Kevin's average speed during these 4 hours.

graph is below

Answers

If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.
So firstly you have to calculate the speed of the first point, which is:

20 miles/0.5 hour
That means: 40 miles/hour
That would be your first "speed"

Then you calculate all of them :speed1+speed2+speed3 = something.
As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr
Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.

It is my first answer, and I hope I could help you a bit!
Sorry for the awkward English, as it is not my mother tongue.

Ten times the sum of half a number and 6 is 8

Answers

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it. We can call it anything. I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is 1/2 G

The sum of that and 6 is 1/2 G + 6

Ten times that is 10 (1/2 G + 6)

The question says that's 8.
So   10 (1/2 G + 6) = 8

Divide each side by 10 : 1/2 G + 6 = 0.8

Subtract 6 from each side: 1/2 G = - 5.2

Multiply each side by 2 : G = - 10.4

That seems like a weird answer. We should check it.

The number:    -10.4
Half the number:    - 5.2
The sum of half the number and 6: -5.2 + 6 = +0.8
Ten times that sum: 8

Yep ! By golly, sho nuff, dV-dT and E to the X !
Everything checks out, and the mystery number is - 10.4

Mr. murphy has a old coin that has 10 side.if a shape is a polygon,how many angle do it have

Answers

A polygon has the same number of angles as sides. This means that if a polygon has 4 sides, it has 4 angles. In this particular problem, because the shape has 10 sides, it also has 10 angles

It would be 10. Because if you have a polygon then the number of sides are equal to the number of angles.

in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series

Answers

$t_1=23,\ \ \ t_3=92\n\nthe\ geometric\ series\ \ \ \Rightarrow\ \ \ t_3=t_1\cdot q^2;\ \ \ q- the\ quotient \n\n92=23\cdot q^2\ /:23 \ \ \Rightarrow\ \ \ q^2= 4\ \ \ \Leftrightarrow\ \ \ (q=2\ \ \ or\ \ \ q=-2)\n\nSum\nS_n=t_1\cdot \frac{\big{1-q^n}}{\big{1-q}} \ \ \ \Rightarrow\ \ \ 62813=23\cdot \frac{\big{1-q^n}}{\big{1-q}} \ /:23 \ \ \ \Rightarrow\ \ \2731= \frac{\big{1-q^n}}{\big{1-q}} \n\n$

$1)\ \ \ q=2\n\Rightarrow\ \ \ 2731= \frac{\big{1-2^n}}{\big{1-2}} \ \ \ \Rightarrow\ \ \ 2731=2^n-1\ \ \ \ \Rightarrow\ \ \ 2^n=2732\n\n\Rightarrow\ \ \ n=log_22732\ \notin\ Natural\n\n$

$2)\ \ q=-2\ \ \ \ \Rightarrow\ \ \ 2731= \frac{\big{1-(-2)^n}}{\big{1-(-2)}} \ \ \ \Rightarrow\ \ 2731=\frac{\big{1-(-2)^n}}{\big{3}}\ /\cdot3 \n\n\ \ \ \Rightarrow\ \ \ 8193=1-(-2)^n\ \ \ \Rightarrow\ \ \ (-2)^n=-8192\ \ \ (\Leftrightarrow\ \ \ n-odd\ number)\n\n\ \Rightarrow \ \ \ (-2)^n=(-2)^(13)\ \ \ \Leftrightarrow\ \ \ n=13\n\nAns.\ In\ the\ geometric\ series\ are\ 13\ terms.$

7x + 2(5x -16)=70? Help me please!!

Answers

The answer is x=6
Hope this helps

7x+10x-32=70
17x-32=70
17x=102
x=6

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