answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tresset [83]
2 years ago
8

R is inversely proportional to A R = 12 when A = 1.5 a) Work out the value of R when A = 5 b) Work out the value of A when R = 9

Mathematics
1 answer:
lapo4ka [179]2 years ago
5 0

Answer:

a) R = 3.6

b) A = 2

Step-by-step explanation:

To find the value, start by modeling the inverse proportionality by using the base equations with the original givens.

y = k/x

12 = k/1.5

18 = k

Now we use that to model the equation

R = 18/A

And we can now use that to solve parts a) and b)

a)

R = 18/A

R = 18/5

R = 3.6

b)

R = 18/A

9 = 18/A

2 = A

You might be interested in
The distribution of scores on a test is​ mound-shaped and symmetric with a mean score of 78. If​ 68% of the scores fall between
Salsk061 [2.6K]

Answer:

The standard deviation for the distribution of scores is 6.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from mean for a normal data.
  • for this rule almost all the data lies within on tandard deviation from the mean.

68% of the scores fall between 72 and​ 84, thus, we can write:

\mu + \sigma = 84\\\mu - \sigma = 72\\78 - \sigma  = 72\\\Rightarrow \sigma = 6

Thus, the standard deviation for the distribution of scores is 6.

4 0
2 years ago
The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the
frez [133]

Answer:

maximum height of 17.07 feet about 10.67 feet from the club

     returns to the ground 21.33 feet away

Step-by-step explanation:

8 0
2 years ago
Becky adds 3/4 gallon of gasoline into her snow thrower's empty fuel tank. She uses 1/4 gallon for the snowstorm on Friday, and
Kaylis [27]
Amount of fuel in the tank before the story begins . . . . . zero.

Total amount poured in . . . . . 3/4 gallon.

Total amount burned:
                   on Friday . . . . . 1/4 gallon
                   on Sunday . . . . 1/4 gallon
                        Total used . . 1/2 gallon .

Amount remaining in the tank on Monday:

               (3/4 gallon in) - (1/2 gallon burned)  =  1/4 gallon left.
                                                                        ==>  NOT empty

The tank would have been empty on Monday IF Becky
had poured in only 1/2 gallon, instead of 3/4 of a gallon
before the first flakes began to fly.
8 0
2 years ago
la apotema de una pirámide hexagonal regular excede la altura en 1 cm, si la arista basica mide 6 cm, ¿cuánto mide la apotema, a
mina [271]

Answer:


Step-by-step explanation:

http://www.ametys.ma/sites/default/files/webform/03_0.html

http://www.ametys.ma/sites/default/files/webform/04_0.html

http://www.ametys.ma/sites/default/files/webform/05_0.html


4 0
2 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
KiRa [710]
You can solve the system of equations.

Multiply the first equation by -3 and add to the second equation.

                    -3x - 3y = -72
                    3x + 5y = 100
(add)     --------------------------
                            2y = 28

y = 14

x + y = 24
x + 14 = 24
x = 10

Answer:
There are 10 3-points questions and 14 5-point questions.

Check: 10 + 14 = 24   There are 24 questions
10 * 3 + 14 * 5 = 30 + 70 = 100   The total number of points is 100.
Our answer is correct.
3 0
2 years ago
Read 2 more answers
Other questions:
  • The probability that Evan purchases a comic book from the bookstore (event A) is 0.67, and the probability that Glen purchases a
    7·2 answers
  • A box contains 14 scarves in unique colors. If 4 scarves are picked randomly from the box,__________ different combinations are
    9·2 answers
  • simone has discovered a blow out sale at a shop in the mall. the cost of the 2 sweaters , 5 shirts and 3 pairs of pants is 172.
    14·2 answers
  • A local coffee store is curious about the size beverages their customers are ordering. The beverages come in three sizes: small,
    13·2 answers
  • −9x+2>18 AND 13x+15≤−4
    8·2 answers
  • Which is the length of the arc MPN expressed in terms of pie?
    6·2 answers
  • A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.
    8·1 answer
  • A piece of metal has a mass of 2210 g. The volume of the metal is 260 cm³.
    12·2 answers
  • The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three
    11·1 answer
  • 3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!