Answer:
Step-by-step explanation:
I think the easiest way to solve this problem is by brute force: trial and error.
We must find numbers that when divided by
- 4 leave 3 (4n + 3)
- 5 leave 3 (5n + 3)
- 6 leave 1 (6n + 1)
Here is a list of multiples of the integer n that satisfy the three conditions.
Check:
OK
.
Answer:
4000
Step-by-step explanation:
36kg = 36000g
36000g/9 bags = 4000g
Answer:
47.4%
Step-by-step explanation:
The total amount Louise spent on Frappuccinos was 4×$4.50 = $18. The fraction that is of the total is ...
Fraps/Total = $18/$38 = 9/19
That can be converted to a percentage by multiplying by 100%:
9/19 = (9/19)×100% ≈ 47.4%
Louise spent 47.4% of the $38 on Frappuccinos.
_____
<em>Additional comment</em>
The decimal equivalent of 9/19 is a repeating decimal with an 18-digit repeat.
An envelope is rectangular in shape.
Given the width = 15cm, and diagonal = 17cm
Let h represent the tall length of the envelope
Applying Pythagoras theorem, we have
![\begin{gathered} 17^2=15^2+h^2 \\ 289=225+h^2 \\ h^2=289-225 \\ h^2=64 \\ h=\sqrt[]{64} \\ h=8\operatorname{cm} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2017%5E2%3D15%5E2%2Bh%5E2%20%5C%5C%20289%3D225%2Bh%5E2%20%5C%5C%20h%5E2%3D289-225%20%5C%5C%20h%5E2%3D64%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B64%7D%20%5C%5C%20h%3D8%5Coperatorname%7Bcm%7D%20%5Cend%7Bgathered%7D)
The envelope is 8cm tall
Answer:
Dilation is a transformation that either reduces or enlarges an object in the coordinate plane.
