Answer
The scale factor is
Explanation
We have to ways to find the scale factor here:
1. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.
We can conclude that the scale factor is
2. Let be the scale factor.
We know form our problem that 24 miles times the scale factor is equal 4 1/2 inches, so we can set up an equation an solve for :
Just like before, we can conclude that the scale factor is
B.
Answer
6 inches separate the cities on the map
Explanation
We know that our scale factor is 1/4 inch = 1 mile, so we can create a conversion factor to convert 24 miles to inches. Since we need to convert from miles to inches, the denominator of our conversion factor must be 1 mile so we can cancel miles out. Notice that we can also express 1/4 inch as 0.25 inch to simplify our calculations:
We can conclude that if the conversion factor is 1/4 inch = 1 mile, 6 inches separate the cities on the map.
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I think what you had was correct if you are talking about 17
Answer:
6800 toothpicks
Step-by-step explanation:
Capacity (how many can be held) is another word for volume.
The equation for volume is
V = lwh
And in the regular-sized box V = 850 toothpicks, so
850 = lwh
We need to double each dimension. Multiply length by 2, width by 2, and height by 2. 2*2*2 = 8, so multiply both sides by 8.
8* 850 = 8 * lwh
6800 = lwh
<u>The jumbo box can hold 6800 toothpicks.</u>
Answer:
No
Step-by-step explanation:
It is not necessary to have a common denominator when multiplying fractions. To multiply fractions with different denominators, you multiply the numerators with each other and then the denominators with each other. The end product of multiplying fractions with no common denominator may not be in its lowest terms however, and might need to be reduced. For example, if you were to multiply 1/2 by 2/3, you would first multiply the numerators (1 and 2) to get 2, and then the denominators (2 and 3) for a product of 2/6. After getting this product, reduce it to its lowest terms, end up with 1/2 by dividing both the numerator and denominator by 2, and end up with 1/3 as a final product. Thus, it is not necessary to have common denominators when multiplying fractions.
Hope this helped! :)
