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Step2247 [10]
2 years ago
9

1. Amanda buys a new car for $65,000 and had to pay 8.75% sales tax. i. How

Mathematics
1 answer:
svetoff [14.1K]2 years ago
8 0

Step-by-step explanation:

<em>Amanda had to give away 8.75% </em><em>of</em><em> $65,000.</em>

So:

(8.75÷100) × 65,000

= $5687.5 of tax

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PLEASE HELP WITH GRADE 11 MATH. Make sure you show the formula. Substitute values and show all mathematicall operations! show yo
Degger [83]

3x+y

x

​

 

=−3

=−y+3

​

The second equation is solved for xxx, so we can substitute the expression -y+3−y+3minus, y, plus, 3 in for xxx in the first equation:

\begin{aligned} 3\blueD{x}+y &= -3\\\\ 3(\blueD{-y+3})+y&=-3\\\\ -3y+9+y&=-3\\\\ -2y&=-12\\\\ y&=6 \end{aligned}

3x+y

3(−y+3)+y

−3y+9+y

−2y

y

​

 

=−3

=−3

=−3

=−12

=6

​

Plugging this value back into one of our original equations, say x = -y +3x=−y+3x, equals, minus, y, plus, 3, we solve for the other variable:

\begin{aligned} x &= -\blueD{y} +3\\\\ x&=-(\blueD{6})+3\\\\ x&=-3 \end{aligned}

x

x

x

​

 

=−y+3

=−(6)+3

=−3

​

The solution to the system of equations is x=-3x=−3x, equals, minus, 3, y=6y=6y, equals, 6.

We can check our work by plugging these numbers back into the original equations. Let's try 3x+y = -33x+y=−33, x, plus, y, equals, minus, 3.

\begin{aligned} 3x+y &= -3\\\\ 3(-3)+6&\stackrel ?=-3\\\\ -9+6&\stackrel ?=-3\\\\ -3&=-3 \end{aligned}

3x+y

3(−3)+6

−9+6

−3

​

 

=−3

=

?

−3

=

?

−3

=−3

​

Yes, our solution checks out.

Example 2

We're asked to solve this system of equations:

\begin{aligned} 7x+10y &= 36\\\\ -2x+y&=9 \end{aligned}

7x+10y

−2x+y

​

 

=36

=9

​

In order to use the substitution method, we'll need to solve for either xxx or yyy in one of the equations. Let's solve for yyy in the second equation:

\begin{aligned} -2x+y&=9 \\\\ y&=2x+9 \end{aligned}

−2x+y

y

​

 

=9

=2x+9

​

Now we can substitute the expression 2x+92x+92, x, plus, 9 in for yyy in the first equation of our system:

\begin{aligned} 7x+10\blueD{y} &= 36\\\\ 7x+10\blueD{(2x+9)}&=36\\\\ 7x+20x+90&=36\\\\ 27x+90&=36\\\\ 3x+10&=4\\\\ 3x&=-6\\\\ x&=-2 \end{aligned}

7x+10y

7x+10(2x+9)

7x+20x+90

27x+90

3x+10

3x

x

​

 

=36

=36

=36

=36

=4

=−6

=−2

​

Plugging this value back into one of our original equations, say y=2x+9y=2x+9y, equals, 2, x, plus, 9, we solve for the other variable:

\begin{aligned} y&=2\blueD{x}+9\\\\ y&=2\blueD{(-2)}+9\\\\ y&=-4+9 \\\\ y&=5 \end{aligned}

y

y

y

y

​

 

=2x+9

=2(−2)+9

=−4+9

=5

​

The solution to the system of equations is x=-2x=−2x, equals, minus, 2, y=5y=5y, equals, 5.

5 0
2 years ago
Subtract (-4x - 2) - (13x + 1)
sp2606 [1]

Answer:

-17x-3

Step-by-step explanation:

Distribute the negative to the second part of the equation. remove the parenthesis from the first part and then add like values.

-4x-2-13x-1

-4x-13x-2-1

-17x-3

6 0
2 years ago
Help please with numbers 1-5
Marysya12 [62]

1 one is the answer

2 is the answer either

all the equations are in it's simeplest form

4 0
3 years ago
1
stira [4]

Answer:

4 miles

Step-by-step explanation:

the store is one mile, her friend is 3 miles from the store.

8 0
3 years ago
This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside
Sphinxa [80]

Answer:

y intercept: 250

slope: -10/3

Step-by-step explanation:

y intercept is where x = 0

slope is found by using the equation (y2 - y1) / (x2 - x1) = (200 - 250) / (15-0) = -50 / 15 = -10 / 3

6 0
2 years ago
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