Answer:
618.75 yd
Step-by-step explanation:
12 3/8 = 12.375
12.375 X 10 X 5 = 618.75
X-2=4y
A(12,-5/2)
b (0,-1/2)
C (0,-2)
D (4,-1/2)
I know this is already answered but this is the answer simplified
(4, -1/2)
This is to help those that didn't understand the first guys explanation.
a. Is the ratio of quarters to dimes still 5:3?
b. If so, illustrate with an example. If not, give a counter-example.
3. You are 13 years old, and your cousin is 19 years old. As you grow older, is your age proportional to your cousin's age? Explain your reasoning
Answer:
1. The relation is proportional.
2. The ratio of quarters and to dimes will not remain 5 : 3.
3. y = 6 + x, Hence, not proportional.
Step-by-step explanation:
1. I can do 90 sit-ups in 2 minutes and my friend can do 135 sit-ups in 3 minutes.
If we consider t as the time in minutes and n as the number of sit-ups, then we can write (2,90) and (3,135) as two ordered pairs.
So, the relation between t and n will be
⇒ n = 45t
Therefore, the relation is proportional.
2. The initial ratio of quarters to dimes was 5:3. If I add the same number of quarters and dimes to it then,
a) The ratio of quarters and dimes will not still be 5 : 3.
b) Let, the number of quarters was 5 then the number of dimes was 3. {As the ratio was 5 : 3}
Now, we add 3 new quarters and 3 new dimes in the collection. then, finally, the number of quarters will be (5 + 3) = 8 and the number of dimes will become (3 + 3) = 6.
Therefore, the new ratio will become 8 : 6 = 4 : 3 which is not equal to 5 : 3.
3. I am 13 years old, and my cousin is 19 years old.
So, if my age is given by x and that of my cousin is y, then
y - x = 19 - 13
⇒ y - x = 6
⇒ y = 6 + x
This relation will continue as the year passes. So, the relation is not proportional as the relation is not like y = kx. (Answer)
4/10 * 200000 =80,000
Answer:
80,000 People Voted
Step-by-step explanation:
4/10 is equal to 40 Percent, this means that %40 of the sample group vote,d with this information you can assume that %40 of the 200,000 people voted as well.
40 Percent x 200,000 is 80000, this allows you to conclude that 80,000 people voted.
The starting rectangle (on the left) is larger than the ending rectangle (on the right). This means the scale factor is some value between 0 and 1, not including 0 or 1 itself.
To find the scale factor, we divide corresponding sides. We divide the vertical side 1.5 of the figure on the right over its corresponding pair on the left.
So,
scale factor = (new)/(old) = 1.5/6 = 0.25
Since 0.25 = 1/4, this means that the rectangle on the right is 1/4th as small compared to the one on the right.