Answer:

Step-by-step explanation:
First, apply the fraction rule.


Then, I multiplied the numbers on top.

Finally, I multipiled the numbers on the bottom.

Hope this helps, and have a blessed day!
Answer:
77 nickels
106 dimes
Step-by-step explanation:
Let there be n nickes and d dimes
Since there are 183 coins, we can write:
n + d = 183
Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:
0.05n + 0.1d = 14.45
Solving 1st equation for n, we have:
n = 183 - d
Putting this into 2nd equation and solving for d:

There are 106 dimes
Since, n = 183 - d
n = 183 - 106
n = 77
There are 77 nickels
Answer:
2x+3
Step-by-step explanation:
-2x2 - 7x - 6
--------------------
-x-2
-2x2 - 7x - 6 = -1 • (2x2 + 7x + 6)
-x - 2 = -1 • (x + 2)
2x2 + 7x + 6
x • (2x+3) and (x+2) • (2x+3)
answer- 2x+3
Answer:
19
Step-by-step explanation:
The triangle inequality tells you the possible values of x are ...
24 -10 < x < 24 +10
14 < x < 34
There are 19 integer values of x in this range.
Answer:
2156/9
Explanation:
The question states all the necessary values that we need for the ratio. The company created 2156 board games and 9 card games.
However, what we need to pay attention to here is the order of the ratio.
Because the question is “What is the ratio of the number of board games to the number of card games”, we know that we need to write the ratio so the number of board games is first.
Additionally, ratios can also be written like fractions. The first number of the ratio would be the top number/numerator in fraction form.
Therefore, the ratio of the number of board games to the number of card games is 2156:9
I hope this helps!