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
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How ol
wlad13 [49]

Answer:

The answer is A.

Step-by-step explanation:

Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.

Hope this helps!

8 0
2 years ago
Read 2 more answers
The length of a parallelogram exceeds its breadth by 30 cm. If the perimeter of the parallelogram is 2 m 60 cm, find the length
Nuetrik [128]

\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

\longrightarrow \sf{2(1 + b) = 260}

\longrightarrow \sf{2(x+30+x) = 260}

\longrightarrow \sf{ 2x+30 = \dfrac{260}{20} }

\longrightarrow \sf{2x + 30 =130}

\longrightarrow \sf{2x = 130 - 30}

\longrightarrow \sf{2x = 100}

\longrightarrow \sf{x=  \dfrac{100}{2} }

• \longrightarrow \sf{b= \underline{50cm}}

\longrightarrow \sf{= x + 30}

\longrightarrow \sf{= 50 + 30}

• \longrightarrow \sf{ \underline{80cm}}

\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}

\large\bm{Breadth= \: 50cm}

\large\bm{Length= \: 80cm}

3 0
1 year ago
Hey please help me ASAP I will give you brainlest.
Volgvan

Answer:

5cm

Step-by-step explanation:

volume = πr²h

225π = π × r² × 9

225/9 = r²

r = √225/9 = 15/3 = 5cm

8 0
2 years ago
Please help. Will mark Brainliest to whoever gets it right! :)
levacccp [35]

Answer:

A's average speed is 100. I did this same thing and passed my grade.

6 0
2 years ago
Read 2 more answers
Barry bought 2 1/2 pounds of lunch meat. He ate 1/10 of the lunch meat when he got home. Which equation shows how many pounds of
enyata [817]

Answer:

1/4

Step-by-step explanation:

2 1/2 * 1/10 = 1/4

8 0
2 years ago
Other questions:
  • Write the ratio as a fraction in the lowest terms 17 minutes to 3 hours
    15·1 answer
  • a math club has 40 members. The number of girls is 5 less the number of boy. what are the two equations solve
    15·1 answer
  • If vacuums cost $249 each, then how many vacuums must a salesperson sell to make a commission of $600 with a 20% commission rate
    13·2 answers
  • A pizzeria charges $ 7.99 for a simple pizza. A customer can add ingredients for $ 0.79 each. If x represents the number of ingr
    10·1 answer
  • Find the sum of the given polynomials.
    8·2 answers
  • Penny reads 13 pages in 1/3 hour. What is the unit rate for pages per​ hour? For hours per​ page?
    14·1 answer
  • In △ABC, AB=4, BC=5, and CA=6. In △EFG, EF=400, FG=500, and GE=600. Is △ABC similar to △EFG? If so, what is the scale factor
    6·1 answer
  • HELP FINAL!!! hello help me PLEASE<br> I NEED THIS IM FAILING THIS IS MY FINAL
    5·1 answer
  • What is 21 divided by 756?
    7·2 answers
  • Hello Brainly User please help me I will mark brainliest. Its really east math please help me
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!