Answer:
(a) 39,208
(b) 65%
Step-by-step explanation:
(a) The car loses 10% the first year and 15% the second year so that’s 35% lost in total after two years.
35% of 60,320 is 21,112
60,320 - 21,112 = 39,208
39,208 ÷ 60,320 = 0.65 (65%)
Answer:
0.22222222222
Step-by-step explanation:
To divide two by nine, you need to use your long division skills. Unfortunately, this interface doesn't lend itself well to showing you the actual long division problem, so try to follow the steps with me.
draw a division symbol (should look like half a rectangle). Put the 9 in front of the rectangle and a 2 inside it. Make the top of the rectangle long.
Note that the result of the division 2÷9 is not an exact value and is equivalent to recurring decimal 0.22... (which has 2 as the period).
Answer:
Base area = 25.2 in^2
Step-by-step explanation:
Base area = 63/2.5 = 25.2 in^2
Answer: 6
Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.
Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.
So we have 10/1 ÷ 5/3 or 10/1 × 3/5.
It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.
Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.
Therefore, 10 ÷ 1 and 2/3 = 6.
Answer:
The scale factor of a dilation from ABCD to RSTU is
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :
Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :
The scale factor (SF) is