Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]

There are 7 dimes and 9 quarters in his pocket.

If there are 16coins in total, hence;

If hamid has $2. 95 in dimes and quarters, this is expressed as:

From equation 1

Substitute equation 3 into 2 to have:

0.1x + 0.25y = 2.95

0.1(16-y) + 0.25y = 2.95

1.6 - 0.1y + 0.25y  = 2.95

1.6 + 0.15y = 2.95

0.15y = 1.35

y = 1.35/0.15

y = 9

Since x + y = 16

x = 16 - y

x = 16 - 9

x = 7

Hence there are 7 dimes and 9 quarters in his pocket.

Learn more on simultaneous equations here: https://brainly.com/question/16863577

Answer:

c = $5.50

Step-by-step explanation:

Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:

c = cost of one cheeseburger

s = cost of one soda

Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.

5s + 5c = 33.75

We are given the price of soda, however, so we can insert that number into the equation for s.

5(1.25) + 5c = 33.75

Then we can simplify and solve for c.

6.25 + 5c = 33.75

5c = 27.5

Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.

c = 5.50

So one cheeseburger costs $5.50.

Hope this helps.

Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.

His sales tax will be $2.75.

Answer:

.y+1=4(i-2)

Step-by-step explanation:

Answer:

The answer is a

Its a because 13 times 3 is 39

13 times 4 is 52

and 13 times 5 is 65

Credit to: alizahalder2007

Step-by-step explanation:

You know that all the degrees in a hexagon is 720.

84+87+128+150+103=552

Subtract 552 from 720.

You don't want x so just do 720-552=x

Answer:

Step-by-step explanation:

7mi/gn/3simplify the complex fraction

Answer:

It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0

Answer:

a straight line that does not go through the origin.

Answer:

5/4

Step-by-step explanation:

The original line is

7 - 3 / 4 - 9

4/-5, so the slope is -4/5

Perpendicular means the opposite sign and reciprocal.

5/4

Answer:

x < 56

Step-by-step explanation:

- x + 40 > -16

-x + 40 - 40 > -16 -40

-x > -56

-x / -1 > -56 / -1

x < 56

Answer:

2

Step-by-step explanation:

Hey there!

8( 4 - 2^{6} ÷ 4)

= 8( 4 - 2^6 ÷ 4)

2^6

= 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4

= 16 * 4

= 64

= 8(4 - 64 ÷ 4)

= 8(4) + 8(-16)

= 32 - 128

= -96

Therefore, your answer is: -96

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer: The Tree height is 21 feet.

Step-by-step explanation:

Let's convert the measurements to feet:

The Building is 20 feet.

The Tree height is 21 feet.

The Flagpole is 18 feet.

Therefore, the Tree is going to cast the longest shadow since it is the highest.

Answer:

The answer is A

Step-by-step explanation:

$1.25*3=3.75

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

Answer:

13

Step-by-step explanation:

whenever you take the absolute value of something it changes from negative to positive

Using proportions, it is found that the old minimum wage was of $8.50.

The equation for the relationship between these wages is:

[tex]1.029412x = 8.75[/tex]

[tex]x = \frac{8.75}{1.029412}[/tex]

[tex]x = 8.50[/tex]

The old minimum wage was of $8.50.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

y = -3/8x+5/8.

Step-by-step explanation:

First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.

Answer:

y = (-3/8)x + 5/8

Step-by-step explanation:

First we need to find the slope of the line connecting these two points.  Slope is represented by m and is equal to rise/run.

Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise).  Thus, the slope of this line is

m = rise/run= -6/16, or -3/8.

Adapt the slope-intercept formula y = mx + b to this situation.  From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8.  Then we have:

4 = (-3/8)(-9) + b, from which we get the y-intercept, b:

4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.

The equation describing this situation is y = (-3/8)x + 5/8.

Answer:

-6+12x

Step-by-step explanation:

9-15+12xmultiply -3(5-4x), calculate the difference

-6+12x

Answer:

X=4

Step-by-step explanation:

28−(3x+4)=2(x+6)+x

28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)

28+−1(3x)+(−1)(4)=2(x+6)+x

28+−3x+−4=2(x+6)+x

28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)

28+−3x+−4=2x+12+x

(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)

−3x+24=3x+12

−3x+24=3x+12

Step 2: Subtract 3x from both sides.

−3x+24−3x=3x+12−3x

−6x+24=12

Step 3: Subtract 24 from both sides.

−6x+24−24=12−24

−6x=−12

Step 4: Divide both sides by -6.

−6x

−6

=

−12

−6

x=2

Answer:

x = 2

Step-by-step explanation:

28 - 3x + 4 = 2x + 12 + x

24 - 3x = 3x + 12

     + 3x   +3x

24 = 6x + 12

-12          -12

12 = 6x

x = 2

Answer:

she sold 680 chocolate chip cokies

Step-by-step explanation:

Answer:

Angle J is congruent to Angle G

Answer:

the answer is 5 ^_^

Step-by-step explanation:

hopeee it helpss ^_^

Answer:

Y(355-+=098) THAT WHAT I GOT

Step-by-step explanation:

Answer:

the correct answer is $80

Step-by-step explanation:

your welcome(:

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