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
9514 1404 393
Answer:
160°
Step-by-step explanation:
The path is a triangle with side lengths 796, 1054, and 411 meters. The turn is opposite the short side. The interior angle of the triangle at that point can be computed using the law of cosines. If we label the sides a, b, c, respectively, then ...
c² = a² + b² - 2ab·cos(C)
C = arccos((a² +b² -c²)/(2ab)) = arccos(1575611/1677968) ≈ 20.116°
The external angle at the buoy is 180° -20° = 160°.
The jet skier's turn was about 160°.
The number of adults is 42.
The number of children is 196.
<u>Step-by-step explanation</u>:
- Adult admission = $13
- Child admission = $4
- Total people = 238
- The total bill amount = $1330
Let 'x' be the number of adults.
Let 'y' be the number of children.
The equations are,
x+y = 238 --------(1)
13x + 4y = 1330 ---------(2)
Multiply eq(1) by 4 and subtract eq(2) from eq(1)
4x+4y = 952
-(<u>13x+4y = 1330</u>)
<u>-9x = -378</u>
x = 378/9
x = 42
∴ The number of adults = 42
Substitute x=42 in eq(1)
42+y = 238
y = 238-42
y = 196
∴ The number of children = 196
Answer:
C
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
Answer:
100
Step-by-step explanation:
The given equation is;
–m + 0.02 + 2.1m = –1.45 – 4.81m
The highest decimal places is 2.
This implies that, we must multiply each term of the equation by 
before solving in order to eliminate the decimal.
In that case the equation becomes;
–100m + 2 + 210m = –145 – 481m
Hence the number is 100
