1answer.
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
dexar [7]
3 years ago
8

PLEASE HELP MATH QUESTION !!! Explain!

Mathematics
1 answer:
butalik [34]3 years ago
6 0

When we say two quantities x and y are proportional to one another, there are two ways we could mean this.

- If x is *directly* proportional to y, then we mean that as x changes, y changes in the same direction. In other words, if x is in/decreased, then y also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have x increase by 1 unit while y would proportionally increase by 5 units. In this case, we'd have y=5x.

- On the other hand, if x is *inversely* proportional to y, then a change in x results in a change in y that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width x and length y. If the rectangle has an area of 5 square units, then we could have x=5 and y=1, or we could have x=4 and y=\dfrac54, or x=3 and y=\dfrac53, or any combination of x and y such that xy=5 is satisfied.

In both cases, we call 5 the "constant of proportionality".

On to your exercises:

(1a) Looks like a stands for number of apples. Then we're told that the cost c=2.3a, which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.

(1b) 5.4

(1c) 12.5

You might be interested in
What is the median of the following set of data?
Alona [7]

Answer:

5 is the median ..........

4 0
3 years ago
Select correct answer
Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

p=0, p=6p

7 0
3 years ago
Read 2 more answers
-2x + 4x = -4 + 0<br> What is the answer?
lys-0071 [83]

Answer:

x = -2

Step-by-step explanation:

-2x + 4x = -4 + 0

2x = -4

2x/2 = -4/2

x = -2

Hope this helps.

8 0
3 years ago
Read 2 more answers
U = 2x - 2 , solve for x.
pochemuha
2u! Literal equations are very hard I suggest using math way.com or photo math regarding these problems
3 0
3 years ago
What is x times 2 plus 3
Sergio039 [100]
Rember a variable without a coefficient or number is 1 so 1×2+3 1×2=2 2+3=5
6 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle os 12 in. And the perimeter is 56 in. Find the width of the rectangle.
    13·2 answers
  • A sample of marble has a volume of 6 cm3 and a density of 2.76 g/cm3. What is its mass?
    7·2 answers
  • Item 17 You have 13 gallons of lemonade to sell. You use cone-shaped cups that are 7 centimeters in diameter and 11 centimeters
    14·1 answer
  • Can anyone help me with this??? Thanks :D Will give brainliest!!!!!!!
    11·2 answers
  • Bananas cost $0.75 per pound. Use an equation to determine the cost of 9 pounds.
    6·2 answers
  • If you start from 0, how many steps do you have to take to get to -3 ON ANY NUMBER LINE? What does the number of steps represent
    11·2 answers
  • A group of 8 friends (5 girls and 3 boys) plans to watch a movle, but they have only 5 tickets. If they randomly decide who will
    15·1 answer
  • Find the next four numbers in the pattern. (What is the pattern?)Explain. 1,2,5,10,13, 26, 29,___,____,____,______
    15·1 answer
  • Help please look below
    13·1 answer
  • You have $3,000 to spend on a laptop. Suppose the tax rate is 6.78%. What is the maximum you can spend on a laptop if you know y
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!