Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
1) you add the variables in the bracket
(4+5)÷3×4
9÷3×4
2) you multiply 3 by 4
9÷3×4
9÷12
3) now you divide 9 by 12
9÷12
=0.75
Answer:
Step-by-step explanation:
The formula for finding the distance between two points is expressed as shown
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;
D = √(17-17)²+(-5-3)²
D = √0²+(-8)²
D = √64
D = 8
According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.
The graph that can represent the data most accurately is (a) The y-axis of a bar graph starts at zero fish. One bar is 24 units, another bar is 51 units, and the third bar is 36 units
The given parameters are:
- Aquarium A: 24 fishes
- Aquarium B: 51 fishes
- Aquarium C: 36 fishes
The above dataset can be represented on a bar graph, where the lengths of the bars represent the number of fishes in each aquarium
Hence, the graph that can represent the data most accurately is (a)
Read more about graphs at:
brainly.com/question/25677468
