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7nadin3 [17]
3 years ago
10

6(n-8) greater than or equal to -18

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0
N is greater than or equal to 11, I believe
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Which Number produces a rational number when added to 0.25
joja [24]
The answer is b. 777777777777( dont mind the 7's)
5 0
3 years ago
Please help!! ASAP!!
kotegsom [21]

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:

\frac{t}{-7}>10\\\\ -7*\frac{t}{-7} >10*-7\\\\t

-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.

8 0
3 years ago
Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
Dafna11 [192]
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

8 0
3 years ago
What is the ratio of x=8y
Lemur [1.5K]
Its going to be 8  y= x/8
6 0
3 years ago
Read 2 more answers
Todor was trying to factor 10x^2-5x+15 He found that the greatest common factor of these terms was 5 and made an area model:
eimsori [14]

Answer:

<em>Model area of dimensions</em>

p=5

q=2x^2-x+3

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

A=p.q

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

A=10x^2-5x+15

This polynomial can be factored as

A=5(2x^2-x+3)

We have found an explicit product, now we can guess the dimensions of the rectangle are

p=5

q=2x^2-x+3

Or viceversa

4 0
3 years ago
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