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Olegator [25]
3 years ago
13

Us the substitution method: x+1/9y=11 18x+2y=90

Mathematics
1 answer:
bonufazy [111]3 years ago
8 0
To use it, we must solve for 1 variable

it seems to be that they want us to solve for x in firsr equation

x+1/9y=11
minus 1/9y from both sides
x=11-1/9y

sub 11-1/9y for x in other equation

18(11-1/9y)+2y=90
distribute
198-2y+2y=90
198=90
false

therefor there is no solution
(if we were to graph them they would be paraalell, if we rewrote them,they look like this: 18x+2y=192 and 18x+2y=90, obviously, there is no solution)


answer is no solution
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Stephen has been saving money to buy a new car. The new car costs $19,820.00. He has to pay 17.25% in taxes based off the cost o
pochemuha

Answer: Total cost =$24338.95

Step-by-step explanation:

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He has to pay 17.25% in taxes based off the cost of the car. This means 17.25% of $19,820.00

=(17.25/100)×19,820.00

=0.1725 ×19820.00 = $3418.95

Cost of taxes = $3418.95

If he also purchases an extended warranty for $1,100.00

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4 0
4 years ago
PLEASE HELP. I need DE AND EF!!!
AlekseyPX

Answer:

DE = about 41.843 (rounded to nearest thousandth)

EF= 34.276 (rounded)

Step-by-step explanation:

For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°.  We can use trigonometry to figure this out.  SinФ equals the opposite side (in this case, 24) divided by the hypotenuse.  Set sinФ equal to a ratio of the sides like this:

sin(35) = \frac{24}{x}

x represents the hypotenuse length, which we don't know; 35 is the angle measure.  Next, isolate x so that the equation looks like this:

\frac{24}{sin(35)} = x

You will need a calculator for the next part.  (and make sure you're in degree mode!).  evaluate sin(35) and divide 24 by that value.  That is DE's length.  DE = about 41.843 (rounded to nearest thousandth)

For EF, we can just use Pythagorean theorem now that we know the other sides' values.

EF^2 + 24^2 = DE^2

*a calculator might also be useful for this part.

EF= 34.276 (rounded)

8 0
3 years ago
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