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UNO [17]
3 years ago
9

Solve for x in the equation C = 8.5x + 6y. Show all work.

Mathematics
2 answers:
posledela3 years ago
6 0
C = 8.5x + 6y

8.5x + 6y = C

8.5x = C - 6y

x = (C - 6y)/8.5
8_murik_8 [283]3 years ago
3 0
First we move 6y to the other side. To do this, you subtract 6y on both sides

C - 6y = 8.5x + 6y - 6y

C - 6y = 8.5x

No divide both sides by 8.5 to isolate x

\frac{C-6y}{8.5} =  \frac{8.5}{8.5} x =\frac{C-6y}{8.5} =x
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A rectangular park is 150 yards on one side and 125 yards on the other.
Ket [755]
So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.

so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.

So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
                                    = 2 ( 150 + 125 )
                                    = 2 * 275
                                    = 550 yards

Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.

i.e. Debbie walked 2 * Perimeter
                               = 2 * 550
                               = 1100 yards

Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the  rectangular park (1,000,000 / the Perimeter of the park)
         i.e.  1,000,000 / 550
             = 1818.18 times

So, 
(a) she walks 1100 yards
(b) She have to walk 1818.18 times
4 0
3 years ago
Homework - Pure Year 1 - Chapter 11B
ycow [4]

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

5 0
2 years ago
Find the area and perimeter of triangle ABF with F(-3,0), A(1,3), and B(7,-5)
lions [1.4K]

Answer:

Step-by-step explanation:

The area would be 25 square centimeter

8 0
3 years ago
When I add a number to another number four times as big, the result is 30. find the first number
Alex73 [517]

Answer:

x = 6

Step-by-step explanation:

Let x = first number

x+4x = 30

5x = 30

Divide by 5

5x/5 =30/5

x = 6

3 0
3 years ago
Read 2 more answers
Find the approximate circumference of a circle with a diameter of 100 yards.
elixir [45]

Answer:

D. 314 yds

Step-by-step explanation:

Given:

Diameter = 100 yds

Required;

Circumference of the circle

Solution:

Circumference of circle = πd

Plug in the value

Circumference = π × 100

= 314 yds (nearest whole number)

5 0
3 years ago
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