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lorasvet [3.4K]
3 years ago
12

Step 1: –10 + 8x < 6x – 4

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0
The final step in solving the inequality=
-6<-2x
-2x>-6
x<3
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A 10-ounce container of chocolate chips can be used to make 4 desserts.
Mademuasel [1]

Answer:

10/4 =10/4 ounces

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered
inn [45]

Answer:

Step-by-step explanation:

2005 AMC 8 Problems/Problem 20

Problem

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 12\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 24$

Solution

Alice moves $5k$ steps and Bob moves $9k$ steps, where $k$ is the turn they are on. Alice and Bob coincide when the number of steps they move collectively, $14k$, is a multiple of $12$. Since this number must be a multiple of $12$, as stated in the previous sentence, $14$ has a factor $2$, $k$ must have a factor of $6$. The smallest number of turns that is a multiple of $6$ is $\boxed{\textbf{(A)}\ 6}$.

See Also

2005 AMC 8 (Problems • Answer Key • Resources)

Preceded by

Problem 19 Followed by

Problem 21

1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

5 0
2 years ago
Please solve this quadratic equation:<br>9^x-1 = 27^X-1​
nadezda [96]

Answer:

x=1

Step-by-step explanation:

if it is truly 9^(x-1)=27^(x-1), then you dont really need to use the quadratic fromula.

5 0
3 years ago
Hector can paint (128
marysya [2.9K]

Answer:

16

Step-by-step explanation:

128/8= 16

8 0
3 years ago
For what values of x is x2+2x=24 true?
JulijaS [17]

Answer:

x=-6 and x=4

Step-by-step explanation:

We must solve the quadratic equation to find the values of x that satisfy equality

x^2+2x=24

Subtract 24 on both sides of equality

x^2+2x-24=24-24

x^2+2x-24=0

Now we factor the quadratic equation

Identify two numbers that when you add them you get as a result 2 and when you multiply them you get as a result -24

The numbers sought are: 6 and -4

So the factors are:

(x+6)(x-4)=0

Finally note that the solutions are:

x=-6 and x=4

5 0
2 years ago
Read 2 more answers
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