John is twice as old as Mary. The sum of their ages is 21. How old is Mary?

Serial numbers for a product are to be made using 2 letters followed by 3 digits the letters are to be taken from the first 6 le

kipiarov [429]

Answer:

Step-by-step explanation:

We have to make 5 place serial number with first two as alphabets and last three as digits.

The alphabets are bonded to first 6 ( A, B, C, D, E, F) where as digits are 10 (say 1 to 10).

Let the serial number be S1 S2 S3 S4 S5.

For Alphabets

For S1 we have 6 alphabets.

Now for S2 we are left with 5 alphabets since there is no repetition one alphabet will be fix for S1.

So the possible combination for S1 S2= 6x5=30.

For Digits

We did the same as we did for alphabets, for S3 we have 10 possibilities, and for S4 and S5 9 and 8 respectively due to the no repetition condition.

So the possible combinations for S3 S4 S5 = 10x9x8=720

So the total number of serial numbers are 30+720=750.

7 0

3 years ago

Find the tangent of each angle that is not the right angle. Drag and drop the numbers into the boxes to show the tangent of each

omeli [17]

Answer:

tan D = $\frac{6}{11}$ or 0.545

tan F = $\frac{11}{6}$ or 1.833

Step-by-step explanation:

To find tangent is always $\frac{opposite}{adjacent}$

so the opposite of angle D is line EF which is 4.8 and the adjacent side is line ED which is 8.8 so $\frac{4.8}{8.8}$ which is $\frac{6}{11}$ or 0.545

The opposite of angle f is line ED which is 8.8 and the adjacent is line EF which is 4.8 so $\frac{8.8}{4.8}$ is $\frac{11}{6}$ or 1.833

3 0

4 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

weqwewe [10]

9514 1404 393

Answer:

(c) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

Try the numbers in the constraints to see if they work.

Build hours:

(4 h/child bike)(10 child bikes) = 40 hours

(6 h/adult bike)(12 adult bikes) = 72 hours

total build hours: 40 +72 = 112, less than 120; constraint is met

Test hours:

(4 h/child bike)(10 child bikes) = 40 hours

(4 h/adult bike)(12 adult bikes) = 48 hours

total test hours: 40 +48 = 88, less than 100; constraint is met

__

Both constraints are met, so the order can be filled.

6 0

3 years ago

It is 5 cm between two buildings on a map that has a scale of 100 000:1. What is their actual

gayaneshka [121]

Answer:

C 5 km

Step-by-step explanation:

so, 5 cm on the map correlates to

5×100000 = 500000 cm in reality.

100 cm = 1 m

1000 m = 1 km

so, 500000 / 100 = 5000 m.

5000 / 1000 = 5 km

8 0

3 years ago

Please help! Brainliest! Also if you leave a dumb answer i WILL report you :)

Vadim26 [7]

Answer:

C

Step-by-step explanation:

It is C because I can plot all those points and they are still on the blue line. If you don't believe me, plug them in to y=-3/2x+2, (-4,8 plugged in would look like this 8=-3/2(-4)+2 just plug the x and y coordinates in) and they will be correct.

Hope this helps plz hit the crown:D

4 0

3 years ago

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