The bus is traveling at 6.4 miles per hour. The appointment was 1 hour long so he gets out at 5:30. From 5:30 to 6:30 is one hour, and at that speed, the bus could go 6.4 miles within that timeframe. So yes, he has time because 6.4 is greater than 4.8.
Answer:
<u>Height = 3 inches and Base length = 7 inches</u>
Step-by-step explanation:
1. Information provided to answer the question correctly:
Base of the triangle = x+ 4
Height of the triangle = x
Area of the triangle = 10.5 inches²
2. Find the base length and height
Let's recall the formula of the area of a triangle:
Area = (Base * Height)/2
Replacing with the values we know:
10.5 = x (x + 4)/2
21 = x² + 4x
x² + 4x - 21 = 0
(x + 7) (x - 3) = 0
(x₁ + 7) = 0 ⇒ x₁ = -7
(x₂ - 3) = 0 ⇒ x₂ = 3
We take x₂ as the answer because x₁ = -7 is not a valid height.
<u>Height = 3 inches and Base length = 7 inches</u>
4-7x= 39
Subtract 4 from both sides
-7x= 35
Divide both sides by -7
x= -5
The value of x+1= (-5)+1= -4.
Answer:
(c) $95,400
Step-by-step explanation:
You want the listing price of your house such that you can clear $92,500 after paying a 3% commission to the buyer's realtor.
<h3>Setup</h3>
The buyer's agent will receive 3% of the sale price (P), so you receive that amount less. You want your share to be $92,500.
(1 -3%)P = 92,500
<h3>Solution</h3>
Dividing by the coefficient of P, we get ...
P = 92,500/0.97 ≈ 95,361
We are asked to round this value to the nearest $100. That makes the listing price ...
$95,400 . . . . listing price
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<em>Additional comment</em>
You can estimate the listing price by adding 3% of 92500 to that value, and you can estimate the added amount as 3%×90,000 = 2700. That is, you know the listing price needs to be slightly higher than ...
92500 +2700 = 95,200
Only one of the answer choices is above that value and <em>rounded to the nearest $100</em>. (You can eliminate the first two choices, because they are not properly rounded.)
Answer:
v = -1/2
Step-by-step explanation:
Step 1: Plug in variables
v = 2 + (-5)(1/2)
Step 2: Multiply
v = 2 - 5/2
Step 3: Subtract
v = -1/2
