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Kruka [31]
3 years ago
6

Ann has a business mowing lawns

Mathematics
1 answer:
lana [24]3 years ago
4 0
186, 18+25+19 =62 and 62 times 3 is 186
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Solve the linear system of equations using the linear combination method.<br><br> {8a−4b=205a−8b=62
11Alexandr11 [23.1K]
Sorry I am a little late...

a = -2

b = -9

Here is how to solve the problem. 

First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40. 

You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D 

So there you have your first answer. 

a = -2 

Now we're going to use the first answer to help us find b. 

For the second equation, all you're going to do is plug in that a. 

5 (-2)-8b=62 

-10 - 8b = 62

Now we move the -10 to the other side...

-8b = 62 + 10 

-8b = 72

Multiply the whole thing by negative once again to turn the b positive.

Now we have 8b = -72 

The final step is to simplify. -72/11 = -9

b = -9 

Hope this makes sense! Also I had the same question on my test and I got it right. :)

6 0
3 years ago
Eduardo and Paul are leaving the same airport in Florida. Eduardo’s flight to Jamaica is 273 miles long. Paul's flight to Hondur
k0ka [10]

Answer:

B. 41.8° is the correct answer

Step-by-step explanation:

We are given that,

Length of Eduardo's flight path = 273 miles

Length of Paul's flight path = 357 miles

Distance between their destinations = 238 miles.

Now, using the law of cosines, we get,

238^2=273^2+357^2-2\times 273\times 357\times \cos \theta

i.e. 56644=74529+127449-194922\times \cos \theta

i.e. 56644=201978-194922\times \cos \theta

i.e. 194922\times \cos \theta=145334

i.e. \cos \theta=0.7456

i.e. \theta=\arccos 0.7456

i.e.  θ = 41.8°

Hence, the angle between their flight paths is 41.8°.

4 0
3 years ago
During dinner 5/6 of the ham was eaten. The next day your family ate 1/2 of what was left. How much of the ham is left now?
Alexxx [7]
1/12 of the ham would be left
8 0
3 years ago
Read 2 more answers
And can you help me with this also show work
Dmitriy789 [7]

Step-by-step explanation:

Fifth is B

Sixth I think it is D.

Hope this helps...

3 0
2 years ago
What is 4 and 30 numerator 60 denominator add 1 and 1 numerator 4 denominator the answer
Sonja [21]

Answer:

4

Step-by-step explanation:

4

4 0
3 years ago
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