What is the value of x, given that OP||NQ ?

Mathematics

1 answer:

Irina-Kira [14]2 years ago

6 0

$\dfrac{x}{9}=\dfrac{20}{18}\\\\\dfrac{x}{9}=\dfrac{10}{9}\ \ \ \ |multiply\ both\ sides\ by\ 9\\\\\boxed{x=10}\to\fbox{a.}$

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Using 3 5 and 8 once to equal 104

igomit [66]

Trial and error tried 8 x 6 =48 i used 10 x 5 to get closer to 100 10 x 5= 50 50+ 48= 98 all I need is 6 which is 2 x 3 8 x 6 = 48 5 x 10= 50 3 x 2 = 6 Total = 104 Hope this helps

7 0

2 years ago

Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest

Ludmilka [50]

Answer:

$6 \times 10^{7}$

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = $10^{7}$