What is the percent of increase?Initial value: 120
Final value: 150

(A)3% (B)20% (C)25% (D)30%

Answers

Answer 1

Answer: To find the answer, find the difference which is 30.

Then find out the percentage of 30 to 120.

To do this divide 30 by 120, and you should get 0.25.

Meaning that this is a 25% increase.

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Solve for r:

-5 = 7 + 3r

Answers

So,

-5 = 7 + 3r
(subtract 7 from both sides)
-12 = 3r
(divide both sides by 3)
-4 = r

$-5=7+3r\ \ \ \ \ \ |combine\ like\ terms\n\n-5-7=3r\n\n-12=3r\ \ \ \ \ \ \ |:3\n\nr=-4$

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

$(n - 135)/(135 - 90) = (t - 3)/(3 - 2)$

⇒ 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)

The inequality 6(x + 2) > 7(x − 5) is equivalent to which of the following inequalities?A. x < −23
B. x < 07
C. x < 17
D. x < 37
E. x < 47

Answers

$6(x + 2) > 7(x-5)\n \n6x+12>7x-35 \n \n 6x-7x >-35-12\n \n-x>-47 \ \ /\cdot (-1)\n \nx< 47 \n \nAnswer : \ E. \ \ x < 47$

6(x+2) > 7(x-5)
6x +12>7x-35
6x-7x > -35 -12
-x > - 47
x < 47 = E

Which is the best estimate for the weight of a stapler 4 ounces for pounds 4 inches or feet

Answers

The answer is 4 ounces. This problem just requires that you have a "feeling" of what the units are. You should know that 4 pounds is a heavy weight for a stapler: it would be difficult to handle. While inches and feet are not units of weight but of length.

A ski shop has a markup rate of 50%. find the selling price of skis that cost the storeowner $300

Answers

So if the store owner Bought the skis for 300 dollars we need to find the original price of the skis before they were marked up 50%. So we need to divide this by three. 300÷3=100 so we have 3 100s now we know that 50% of 200 is 100 so the original price would be $200 Hope this helps!!!

Find the range values of which x*x-5x+6<0