Answer:
it would be a
Step-by-step explanation:
Answer:
rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal
compare ratios of lengths and widths
rectangles A and B
k = = ← ratio of lengths
k = = ← ratio of widths
scale factors are equivalent, hence rectangle A is a scaled copy of B
rectangles C and B
k = = ← ratio of lengths
k = = ← ratio of width
scale factors (k ) are not equal, hence C is not a scaled copy of B
rectangles A and C
k = = ← ratio of lengths
k = ← ratio of widths
the scale factors are not equal hence A is not a scaled copy of C
Step-by-step explanation:
Answer:
The balance of the savings account in 15 years will be $1,750.24.


Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract
Distribute: 9(1+x) = 9+9x
19 - 5x = 9 + 9x
Add 5x to both sides of the equation and subtract 9 from both sides.
19 - 5x + (5x) = 9 + 9x + (5x)
19 - (9) = 9 - (9) + 14x
10 = 14x
Divide both sides by 14 to get the variable on its own.
10/14 = 14x/14
10/14=x
5/7 = x
Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:

We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:

To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:

Multiply both sides by 3:

The left side simplifies. Multiply on the right:

Now, multiply both sides by 1/2:

Simplify the left. Multiply on the right:

So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!