I need help on these questions PLEASE
britneyshowalter avatar

Answers

Answer 1
Answer: I think the easiest way to answer all of these is to just go ahead and find the equation of the line first. 

I'm pretty sure that by the time you reach this problem, you've learned to find
theequation of a line that passes through two given points.  You have twopoints:  (2, 100) and (5, 205).  The equation of the line through themis [ y = 35x + 30 ].

6).  The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30.  (Also the y-intercept.)

7).  The cost per month is $35.  (The slope of the line.)

8).  We already did that, up above.  [  y = 35x + 30 ].

9).  'x' in the equation is the number of months.
There are 12 months in one year.

y = 35(12) + 30 = $450


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How can you find a unit rate when given a rate?

Answers

You can find the unit rate when given a rate by setting up a proportion of the rate equal to how many per one.

40 miles per 2 hours = 20 miles per one hour.

20 miles/hour is a unit rate.   (How many per one?)

Divide £300 in a ratio of 3:7

Answers

Ratio is:
3:7
it means you have to sum
3+7=10
Now you have to divide 300 by 10
300/10=30
Now multiplay
3*30=90
and
7*30=210
so £300 in ratio 3:7 will be 90:210
1. Add 3 + 7 = 10

2. Divide 300 by 10 = 30

3. Times 30 x 3 = 90

4. Times 30 x 7 = 210

90 + 210 = 300

your answer is 90 : 210

Which of the following numbers has the smallest value? 19.45 19.445 19.5 19.454

Answers

19.445 is the answer as you can see...
first you need to see the 1 decimal place which is like the number smaller than 1, eg:0.5,0.4 then later you see the 2 decimal place and later third on order to find out...
19.445 if you didnt round it to the nearest hundredth. so technically the answer is 19.45


A patio in the shape of a semicircle has a diameter of 21 ft. What is the approximate area of the patio, rounded to the nearest square foot? Use 3.14 to approximate pi star times pi.

Answers

The formula of the area of a semi circle is half the area of the circle

( \pi r^2)/(2)

Diameter = 21 ft
Radius = (d)/(2)(21)/(2) = 10.5 ft

Area = ( \pi (10.5)^2)/(2)
        = (110.25 \pi )/(2)
        =(110.25 * 3.14)/(2)  (3.14 as \pi)
        =(346.185)/(2)
        =173.0925 ft² ≈ 173.1 ft² ≈ 173 ft²
To the nearest square foot : 173 ft²

15 is more than a number x

Answers

Given that 15 is more than a number x, we can represent it by the following inequality:

x < 15

Hope that helped =)

Rationalize the denominator and simplify
12/√7+2

Answers

Answer:

The answer is 4√7 - 8

Step-by-step explanation:

12/√7+2

Rationalize the denominator

=12/7+2 * √7-2/√7-2

=12√7-24/7-4

=12√7-24/3

By taking common from numerator we get

=12(√7-2)/3

=4√7-8

Answer:

The answer is 4√7 - 8

Step-by-step explanation:

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