Answer:
We have;
7 pencil boxes and 5 eraser boxes
Step-by-step explanation:
To find the smallest number of boxes that can be bought, what we simply do is to find the lowest common multiple of the content of each of the boxes
hence, we are going to find the lowest common multiple of 10 and 14
The lowest common multiple of 10 and 14 is 70
So the smallest number of pencil boxes that can be bought is 70/10 = 7
The smallest number of eraser boxes would be 70/14 = 5
Answer:
x=10
Step-by-step explanation:
1.5x-6=9
+6 +6
1.5x=15
/1.5 /1.5
x=10
1.5 or 1 1/2 in. On the map equals24 miles
Based on the calculations, the dimensions of the rectangle are
- Length, L = 156 meters.
- Width, w = 65 meters.
<h3>What is a diagonal?</h3>
The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:
d = √(l² + w²)
Where:
- d is the diagonal of a rectangle.
- l is the length of a rectangle.
- w is the width of a rectangle.
Since the ratio of the length to the width is 12:5, we have:
Width, w = 5l/12
Substituting the given parameters into the formula, we have;
169 = √(l² + (5l/12)²)
169² = l² + (5l/12)²
169² = l² + (25l²/144)
Length, L = 156 meters.
For the width, we have:
Width, w = 5l/12
Width, w = 5(156)/12
Width, w = 65 meters.
Read more on rectangle here: brainly.com/question/25292087
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