It will take 8 minutes.
You use a proportion
5/1=2400/x you use 2400 because 2.4km=2400 meters and u need to use the same unit of measurement.
so cross multiplying gives you 5x=2400 which is equal to 480. BUT this is 48 seconds, and it asks you how many minutes, not seconds. So, you divide by 60 because there are 6 seconds in a minute, and you get 8.
Answer:
<span>Robbie: 6
Cameron: 9
Louis: 12
Tom: 15
Charlie</span>: 18
Explanation:
1) Assume that Rachel sold all the cones: 60
2) Call x the amount that Robbie bought and d the constant increase on the purchse.
3) That means that the number of cones bought by each one is:
<span>Robbie: x
Cameron: x + d
Louis: x + d + d = x + 2d
Tom: x + 2d + d = x + 3d
Charlie</span> x + 3d + d = x + 4d
The sum of that is: x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 5x + 10d = 60
5x + 10d = 60 may be simplified by dividing each side by 5 => x + 2d = 12.
Equation (1) x + 2d = 12
4) <span>Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis, Tom and Charlie
=> x + (x + d) = [3/7] [ (x + 2d) + (x + 3d) + (x + 4d) ]
=> 2x + d = [3/7] (3x + 9d)
=> 7(2x + d) = 3 (3x + 9d)
=> 14x + 7d = 9x + 27d
=> 14x - 9x = 27d - 7d
=> 5x = 10d
=> x = 2d
Equation (2) x = 2d
5) Now you just have to solve this simple system of equations:
x + 2d = 12
x = 2d
Subitituing x for 2d in the first equation: x + x = 12 => 2x = 12 => x = 6
Now replace x = 6 in any of the two equations and you get the value of d.
For example, from x = 2d => d = x / 2 = 6 /2 = 3.
6) Finally, calcualte the number of cones of each:
</span> Result
<span><span>Robbie: x 6
Cameron: x + d 6 + 3 = 9
Louis: x + d + d = x + 2d 9 + 3 = 12
Tom: x + 2d + d = x + 3d 12 + 3 = 15
Charlie</span> x + 3d + d = x + 4d</span> 15 + 3 = 18
-----------------------------------------
Total 6 + 9 + 12 + 15 + 18 = 60
The given equation in the point slope form is expressed as
y + 3 = 1/2(x + 4)
The standard form for a point slope equation is expressed as
y - y1 = m(x - x1)
Where
m represents slope
By comparing both equations,
slope, m = 1/2
y1 = - 3(we know that y - - 3 = y + 3)
x1 = - 4(We know that x - - 4 = x + 4)
The slope intercept form is expressed as
y = mx + c
Where
c represents the y intercept
We would determine c by substituting x = - 4, y = - 3 and m = 1/2 into the slope intercept equation. It becomes
- 3 = 1/2 * - 4 + c
- 3 = - 2 + c
c = - 3 + 2
c = - 1
Substituting c = - 1 and m = 1/2 into the slope intercept equation, it becomes
y = x/2 - 1
The equation in slope intercept form is
y = x/2 - 1
Answer:
<u>-</u><u>2x</u><u> </u><u>that's</u><u> </u><u>the</u><u> </u><u>answer</u><u>,</u><u> </u><u>I think</u><u> </u>
Step-by-step explanation:
Yung negative 4 I subtract mo sa positive 9x ang sagot ay <u>5x</u><u> </u> kase may negative sign yung 4 kaya kailangan mong I subtract then yung 5x I subtract mo ata ulit sa negative 7 ang sagot ay <u>-</u><u> </u><u>2</u><u> </u> yan na Explanation ko.
Pero di ako sure dyan but I hope it helps
<h2><u>#CARRYONLEARNING</u><u> </u></h2><h2><u>#STUDYWELL</u><u> </u></h2>
Answer:
Measure of major arc BDC = 260.5° Option A
Step-by-step explanation:
Given that, measure of central angle ∠BAE = 80.5°
Firstly we will find the measure of arc BE .
The measure of arc BE is same as the measure of its central angle.
So, measure of minor BE arc = 80.5°
measure of arc EDC = 180° because of half circle
So,
measure of major arc BDC = 180° + 80.5° = 260.5° option A
That's the final answer.
