All categories

3 years ago

Solve this system. Write your answer as an ordered pair.

1 answer:

6 0

Y = -3 + 5x ----------------- (1)
3x - 8y = 24 --------------- (2)

Solve by substitution. We will substitute equation (1) into equation (2):

------------------------------------------------------------
Substitute equation (1) into equation (2) :
------------------------------------------------------------
3x - 8y = 24 // Equation (2)
3x - 8(-3 + 5x) = 24 // Sub x = -3 + 5x
3x + 24 - 40x = 24 // Apply distributive property
-37x + 24 = 24 // Combine like terms
-37x = 0 // Take away 24 from both sides
x = 0 // Divide by -37 on both sides

Sub x = 0 into equation (1) :
y = - 3 + 5(0) // Sub x = 0
y = -3 // Combine like terms

-----------------------------------------------
Answer : The ordered pair is (0, -3).
-----------------------------------------------

You might be interested in

How many square feet of outdoor carpet will we need for this hole?

QveST [7]

The whole ends up being 42 ft².

Area of a triangle = 1/2 * base * height.
So that lil triangle piece is 1/2 * 2 * 3 = 1/2 * 6 = 3

Now we do the rectangle piece. Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21

If you take away those two, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is the width of the rectangle which is 3. Base 2 is the 6. The height is the given 11 feet minus the 7 feet from the length of the rectangle which is 4.

Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.

Now add all of your areas together;

21 + 3 + 18 = 24 + 18 = 42

7 0

3 years ago

Read 2 more answers

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Andrei [34K]

Answer:

Circle 1=6x+2y

Rectangle 4 = 3x+y

Circle 4 = 5x

Step-by-step explanation:

4x+3y and 2x-y can be added to find result for the circle.

Let C1 represent circle 1

4x+3y+2x-y=C1\\

Combining\:like\:terms\\

4x+2x+3y-y=C1

6x+2y=C1

So, The result is: C1=6x+2y

Now, We need to solve:

Let R1 represent rectangle 4

x+4y + R1 = 4x+5y

R1=4x+5y-(x+4y)

R1=4x+5y-x-4y

R1=4x-x+5y-4y

R1=3x+y

So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y

Now, We need to solve the equation:

Let C4= Circle 4

2x-y+3x+y=C4

Combining the like terms

2x+3x-y+y=C4

5x=C4

So, Solving 2x-y+3x+y=C4 we get C4 = 5x

7 0

3 years ago

At this rate, how many hours will it take Darin to mow 12 lawns?

Lerok [7]

Answer:

Step-by-step explanation:

:D You can trust me on this one! Did the iready lesson and got the answer correct.

3 0

3 years ago

4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a

s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

$Principal=24000-1000\\\\=23000$

Knowing that $n=12\times 6=72,P=23000, r=7.99\%/12=0.006658$ , the monthly payments can be calculated using the formula:

$M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15$

Hence, the monthly payment is $403.15

3 0

3 years ago

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kg, but Renna and her l

pychu [463]

Answer:

$620-37.4p\leq 450$

Step-by-step explanation:

Let p be the number of identical packages.

We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.

The total mass of Renna and her load of identical packages is 620 kg.

We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.

We can represent this information in an inequality as:

$620-37.4p\leq 450$

Therefore, the inequality $620-37.4p\leq 450$ can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

3 0

3 years ago

Read 2 more answers