The answer is b. 777777777777( dont mind the 7's)
Answer:
26. t<-70 see description below.
Step-by-step explanation:
To solve an inequality in one variable, solve using inverse operations like any other equations. However, if dividing or multiplying by a negative at any points, flip the sign of the inequality.
Example:
-7 was multiplied to as an inverse operation to division by -7. Because it was negative, the inequality sign was flipped. To graph, plot -70 on the number line with an open circle. Then draw an arrow from -70 to the left.
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
Answer:
<em>Model area of dimensions</em>
Step-by-step explanation:
<u>Model for the Area</u>
Suposse we have a rectangle of measures p and q, its area is computed by
Note the expression is a product which means if an equation is found for the area, we can guess the dimensions of the supossed rectangle.
The expression for the area is
This polynomial can be factored as
We have found an explicit product, now we can guess the dimensions of the rectangle are
Or viceversa
