1. You can do 90 sit-ups in 2 minutes. Your friend can do 135 sit-ups in 3 minutes. Do these rates form a proportion? Explain2. The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes to the collection.
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
Answers
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)
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17. The answer is 2 1-pint containes because, there are 16 fluid ounces in 1 pint, and 32÷16=2.
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Answers
The total price of the car is $26901.20
Step-by-step explanation:
It is given that,
- The cost of the new car = $21,920.00
- The tax percent for the cost of the car = 17.25%
- He also purchases an extended warranty for the car = $1,200.00
To find the total price of the car :
Total Price = cost of the car + Tax cost + warranty cost.
The cost of the car and warranty cost are already given. So, we need to calculate the Tax amount paid for the car.
Tax amount = 17.25% of $21,920.00
⇒ 17.25/100 × 21,920.00
⇒ 0.1725 × 21,920
⇒ 3781.2 dollars.
Therefore, the cost of tax is $3781.2
Now, coming to the total price of the car,
Total Price ⇒ 21,920.00 + 3781.20 + 1200.00 = 26901.20 dollars.
The total price of the car is $26901.20
Answers
Answer:
3 packages of plates, 2 packages of cups
Step-by-step explanation:
Find the multiples of 8 and 12, the lowest one they have in common will help with your answer.
8 : 8 16 24 32 40 48 56
12 : 12 24 36 48
The number that they both have (least) in common is 24.
For 8, it is the 3rd multiple and for 12 it would be the second
Answers
4/9 + 4x - 4 = 29/9 + 6x + 1 ;
4/9 + 4x - 6x - 4 = 29/9 + 1;
4/9 - 2x - 4 = 29/9 + 1 ;
4/9 - 2x = 29/9 + 5 ;
-2x = 25/9 + 5 ;
-2x = 25/9 + 45/9 ; ;
-2x = 70/9 ;
x = (70/9) × (-1/2) ;
x = - 35/9 ;
Answers
train b:6 12