Answer:
5. 40
Step-by-step explanation:
(14) +(4x+6) = 8x
14 + 4x+ 6 = 8x
20 = 8x - 4x
4x = 20
x = 5
RT = 8x
= 8 * 5....since x = 5
= 40
D. The place of the digit 6 has a value that is 1/6 of the digit represented by y
Answer:
13 cm
Step-by-step explanation:
We can get the answer in the following way:
To solve this problem you must apply the proccedure shown below:
1- You have that the laddder makes an angle of 
with the ground and the top of the ladder reaches 
.
2- Therefore, you have:
Where:
3-You must substitute values and solve for the lenght, as following:
Therefore, the answer is: 
Answer:
- the largest number that cannot be made is 23
- see below for an explanation
Step-by-step explanation:
<em>Why numbers greater than 23 can be made</em>
From any number that Larry can make that includes an appropriate number of stamps, Larry can ...
- add 1 by adding 1×9 and taking away 2×4
- add 2 by adding 2×9 and taking away 4×4
- add 3 by adding 3×9 and taking away 6×4
- add 4 by adding 1×4
- add 5 by adding 4 and 1 (add 9, take away 4)
- add 6 by adding 4 and 2 (add 2×9, take away 3×4)
- add 7 by adding 4 and 3 (add 3×9, take away 5×4)
- add 8 by adding 2×4
- add 9 by adding 1×9
Clearly, for Larry to be able to continue adding any number, he must start with a number that contains at least 6×4 cents = 24 cents.
Larry can make 24 cents from 6 4-cent stamps. Using the above table, he can add any amount to that.
___
<em>Why 23 cannot be made</em>
For 23 cents, the number of stamps must include 0, 1, or 2 9-cent stamps, so there are 3 cases to try for making 23:
- 23 cannot be made from 0 9-cent stamps because 23 is not divisible by 4
- 23 cannot be made using 1 9-cent stamp, because 14 is not divisible by 4
- 23 cannot be made using 2 9-cent stamps, because 5 is not divisible by 4.
Therefore, 23 cannot be made.
