Answer:
Step-by-step explanation:
If you would like to know Johnathan's average speed in miles per hour, you can calculate this using the following steps:
3 2/3 = 11/3 miles ... 7/8 hour
x miles = ? ... 1 hour
11/3 * 1 = 7/8 * x
11/3 = 7/8 * x
x = 11/3 * 8/7
x = 88/21
x = 4 4/21 miles
The correct result would be 4 4/21 miles per hour.
The numbers are (-8, 3) or (3, -8).
Step-by-step explanation:
- Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.
⇒ a + b = -5 ⇒ b = -5 - a
⇒ a × b = -24 -------- (1)
- Step 2: Substitute the value of b in eq(1)
⇒ a × (-5 - a) = - 24
⇒ -5a - a² = -24
⇒ a² + 5a - 24 = 0
- Step 3: Solve the quadratic equation for a.
a = (-5 ± √25 - 4 × 1 × -24)/2
= (-5 ± √121)/2
= - 16/2, 6/2 = -8 or 3
- Step 4: For each value of a, find b.
When a = -8, b = -5 +8 = 3
When a = 3, b = -5 - 3 = -8.
Answer:
$16,462.58
Step-by-step explanation:
25000(1-.13)^(n)
where n is the years
25000(.87)^3
put this into a calculator and get
16462.57
So you need to use the distributive property. First, solve inside the parentheses. So, 8x times 4y is 32xy, then multiply that by 3 to get 96xy, now multiply 96xy by 2 to get your final answer of 192xy.
