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
almond37 [142]
3 years ago
11

Can you explain to me the answers in a and b?

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

a. The constant of proportionality is k = 2

b. If Micah saves $150, his parents will give him $300

<h2>Explanation:</h2>

<h3>PART A.</h3>

From mathematics, we know that y varies directly as x or y is directly proportional to x if and only if:

y=kx for some nonzero constant k.

Here we know some facts:

  • For every $5 that Micah saves, his parents give him $10.

In other words:

Let y be the money his parents give him.

Let x be the money that Micah saves.

We \ know \ that: \\ y=kx \\ \\ \\ Solving \ for \ k: \\ \\ k=\frac{y}{x} \\ \\ k=\frac{10}{5} \\ \\ \boxed{k=2}

So,<em> the constant of proportionality is k = 2</em>

<h3>PART B.</h3>

In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:

For \ x=150 \ and \ k=2: \\ \\ y=2(150) \\ \\ \boxed{y=300}

Finally, <em>if Micah saves $150, his parents will give him 300$</em>

<h2>Learn more:</h2>

Cost of pizzas: brainly.com/question/12878495

#LearnWithBrainly

You might be interested in
Which three-dimensional figure will this net make?
V125BC [204]
The shape for this net is the last one
3 0
3 years ago
9x-1=1/2(15x-47) I need help
NikAS [45]

Answer:

The answer is x= -15

6 0
2 years ago
A certain type of bacteria reproduces so that after x hours there are 15x cells. What single power represents he size relationsh
algol [13]

Answer:

let's say cells is c and hours are x that means there are 15 cells each hour. the equation for that is c=15x

after 08 hours the cells have multiplied 8 times their original size. meaning that the equation changes to this: c=15x          x=8    c= 15(8)

x equals 8 at that time.. literally

ok the cells have multiplied and now there are 120 cells in total

then after one day the cells have multiplied over 12 times afterwards. now x equals 24. the equation would look a little like this:

c=15x      x=24    c= 15(24)

there are 360 cells now.

Explain in your own words the relationship between x=8 with x=24 in the equation.

7 0
3 years ago
Find 15 * 15 * 15 * 500 how does this compare to finding 45 x 500
andrew11 [14]
15 * 15 * 15 * 500 = 1,687,500. it's different from finding 45 * 500 because 
15 * 15* 15 * 500 is the same as writing it as 15^3 * 500. This meaning you multiply the number 15 by itself 3 times, not add it 3 times, which is what
45 * 500 was showing. I hope this helped. 
4 0
3 years ago
Whats is 1+1 <br><br> *i cant figure it out *
seropon [69]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate f(x)=6x² – 12 when x=-3.<br> A -30<br> B 42<br> C -48<br> D 312
    9·2 answers
  • 55% of 3,650.00= ____
    13·1 answer
  • Laras radar on her submarine detects two other subs nearby. the first one is 360m away the second is 250m, and the angle between
    7·1 answer
  • I need help finding the surface area for 11
    6·1 answer
  • Kelso is in charge of a bake sale. On each table, t, there will be a platter of 24 cookies and 2 bowls of brownies with b browni
    11·1 answer
  • Determine the greatest common factor of the given expressions.
    8·1 answer
  • C is directly proportional to d such that
    12·1 answer
  • SOMEONEE HELPPP MEE!!!
    10·1 answer
  • Rebekah put the bottom of a 12 foot ladder 5 feet from the side of a house what is the distance form the bottom of the house to
    11·1 answer
  • Select the correct answer from each drop-down menu.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!