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adoni [48]
1 year ago
13

Solve the system of equations. -9Y +4X -20 =0 -7Y +16 X -80 =0 X= Y=

Mathematics
1 answer:
Fofino [41]1 year ago
3 0

Answer:

X=5, Y=0

Step-by-step explanation:

-9Y +4X -20=0

-7Y+16X-80=0

1. We can multiply the first equation by 4. This will equal to -36Y +16X-80=0.

-36Y +16X -80 =0

-7Y+16X-80=0

2.  We can subtract these two equations.

-36Y +16X -80 =0

-7Y+16X-80=0

We will get -29Y =0. Y=0.

3. Then we can substitute y into the first equation. -9(0) +4x-20 =0. 4x=20. x=5

X=5, Y=0

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4 0
2 years ago
Find the quotient of 2,300 and (0.4 · 10^-8). In your final answer, include all of your calculations.
Alex777 [14]

Answer:

5.75x10^11

Step-by-step explanation:

quotient of 2,300 and (0.4x10^-8) is

2,300 ÷ (0.4x10^-8)

2300 = 2.3x10^3

We now have

2.3x10^3 / 0.4x10^-8

= (2.3/0.4) x ( 10^(3 - (-8))

= 5.75 x (10^(3+8))

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= 5.75x10^11

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8 0
1 year ago
Naomi and her children went into a bakery where they sell donuts for $1.25 each and cookies for $0.75 each. Naomi has $15 to spe
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Answer:

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4 0
1 year ago
An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the ori
Nostrana [21]
Let X be the original price. 
Do a 40% increase we get the price: X+0.4X=1.4X
Doing a 25% off we get the new price:
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6 0
2 years ago
Read 2 more answers
The price of a train ticket consists of an initial fee plus a constant fee per stop.
murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Price (P) = x + (y\times \textrm{Number of Stops})

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

x+3y =6.50 \ \ \ \ equation \ 1

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

x+7y =12.50 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Substituting the value of y in equation 1 we get;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

Hence Initial Fee is $2.

8 0
2 years ago
Read 2 more answers
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