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3 years ago

Can anyone solve for x? Please.

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer:

$\frac{20}{24} = \frac{22}{x + 22} \\ 24 \times 22 = 20x + 20 \times 22 \\ 20x = 4 \times 22 \\ x = 88 \div 20 = 4.4$

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Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =

pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)

$x-2y+1=0\\x= 2y-1$

Now we substitute x in the second equation:

$2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7$

Now we substitute y in our first equation.

$x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7$ .

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

$x-2y+11=0\\x=2y-11$

$-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2$

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0

3 years ago

Margaret uses a credit card with a 21.7% APR compounded monthly to pay for her car repairs totaling $692.77. She can pay $290 pe

igomit [66]

Answer:

B. $715.21

Step-by-step explanation:

Apparently, Margaret makes her first payment after she has incurred a finance charge on the amount.

At the end of the first month, the balance due is ...

... 692.77×(1 + 0.217/12) = 705.30

At the end of the second month, the balance due is ...

... (705.30 -290)×(1 +0.217/12) = 422.81

At the end of the third month, the balance due is ...

... (422.81 -290)×(1 +0.217/12) = 132.81

Margaret makes total payments of $290×2 +132.81 = $712.81

Of the choices listed, the best selection is ...

... B. $715.21

_____

<em>Comment on the answer choice</em>

The total $715.21 seems to also include a finance charge on the final payment amount. (It actually includes a charge on $132.72, which is slightly different from the final payment amount.) There will not be any such charge, so the <em>available answer choices are all in error</em>.

Actually, we expect the total cost to be closer to $702.25, because we expect that Margaret will make her first payment before any finance charges are incurred.

_____

You should ask your teacher to show you in detail how to work this problem.

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135 divided by 9 is 15 so there's 15 people in each group and this people 15 people will watch each movie.

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