Answer:
2, 7, 15, 19, 34
Step-by-step explanation:
First, we have to know what a multiple is. A multiple is a number (n) that can be evenly divided by a certain base number (b). An evenly divided number is one that has no decimal points (ex: 1, 100, 24). For example, the multiples of 8 (b) would be 16, 24, 32, etc (n). Another example would be that 32 is a multiple of 2, 8, 16, etc. since it can be evenly divided by those numbers.
In this case, n = each of the numbers in that list, while b = 4. So now we just have to look at what numbers in our list can be evenly divided by 4.
- 2 is not a multiple since it cannot be evenly divided by 4, since it is less than 4.
- 4 is a multiple of 4, since 4/4 = 1, and 1 is evenly divided.
- 7 cannot be evenly divided by 4, and thus is not a multiple of 4.
- 8 can be evenly divided by 4, since 8/4 = 2, and thus is a multiple of 4.
- 12 can be evenly divided by 4, since 12/4 = 3, and thus is a multiple of 4
- 15 cannot be evenly divided by 4, and thus is not a multiple of 4
- 19 cannot be evenly divided by 4, and thus is not a multiple of 4.
- 24 can be evenly divided by 4, since 24/4 = 6, and thus is a multiple of 4.
- 34 cannot be evenly divided by 4, and thus is not a multiple of 4
Since we're asked to find the numbers that are <em>not</em> multiples of 4, our answer to the question would be:
2, 7, 15, 19, 34
Answer:
$3.00
Step-by-step explanation:
Let p = the cost of a pack of pencils
and b = the cost of a binder
Then we have two simultaneous equations.
(1) 2p + 3b = 21.00
(2) 5p + 2b = 25.00
1. Multiply each equation by numbers to give one of the variables the same coefficient.
Multiply (1) by 2 and (2) by 3.This gives
(3) 4p + 6b = 42.00
(4) 15p + 6b = 75.00
2. Subtract (3) from (4)
This gives
(5) 11p = 33.00
3. Solve equation (5) for p
Divide each side by 11
p = 3.00
Each pack of pencils costs $3.00.
The height of the triangle if the base is 8 is 3.96 units
Given the following parameters
Base of a triangle = 8 units
Let the hypotenuse be "c"
Let the height be "h"
If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;
c = 2h + 1
According to the Pythagoras theorem:
c² = b² + h²
(2h + 1)² = 8² + h²
Expand
4h²+4h+1 = 64 + h²
4h²-h² + 4h + 1 - 64 = 0
3h² + 4h - 63 = 0
Factorize the result
On factorizing, the value of the height is 2
h = 
h = 11.89/3
h = 3.96 units
Hence the height of the triangle if the base is 8 is 3.96 units
Learn more here: brainly.com/question/20545047
Answer:
Q(1,1), N(3,2) A(2,5)
Step-by-step explanation:
