Answer:
89.43
Step-by-step explanation:
a = 670 * (1 * .25)^7
a = 670 * (.75)^7
a = 89.43
8p + 3a = 213 and p + a = 41 are the two required equations which will give us the number of phones and accessories sold by Levi.
<u>Solution:</u>
Levi earns a $8 commission for every phone he sells and a $3 commission for every accessory he sells.
On a given day, Levi made a total of $213 in commission from selling a total of 41 phones and accessories.
We have been asked to write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. We also have to define the variables that you use to write the system.
Let us denote the number of phones as ‘p’ and number of accessories as ‘a’
So, we can write the following equations from the given data:
Given that levi made $ 213 commission
8p + 3a = 213
And, Levi sold 41 phones and accessories. So we can frame a equation as follows:
p + a = 41
These two equations can be used and solved to determine the number of phones and accessories sold.
1. 8/9 ÷ 4/9 is done by inverting the divisor (4/9) and then multiplying:
(8/9)(9/4) = 8/4 = 2 (answer)
2. 1/3 ÷ 6 is done similarly: (1/3)(1/6) = 1/18 (answer)
3. 4 ÷ 1/5 = 4 * 5 = 20 (answer)
4. 7 1/2 ÷ 1/4 = (15/2)(4/1) = 30 (answer)
Answer:
(- 4, - 2 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3x - 6 → (1)
y = x + 2 → (2)
Substitute y = x² + 3x - 6 into (2)
x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
The answer is the third option, which is: Trapezoid.
The explanation for this asnwer is shown below:
1- A rectangular pyramid is a solid whose base is a rectangle and its faces are triangles.
2- When you slice or cut a solid with a plane, you obtain a shape which is known as "Cross section".
3- In this case, if these plane is perpendicular to the base but does not pass through the top vertex of the rectangular pyramid, the intersection of the plane with the pyramid, or the resulting shape will be a trapezoid.
