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
Vilka [71]
3 years ago
14

If m proportional to n and m=5 when n=4.what is the valuue of m?when n=18

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

m=22.5

Step-by-step explanation:

m is proportional to n means there is some constant k such that:

m=kn

If m=5 when n=4 then we have the following equation to solve for our constant k:

5=k(4)

5=4k

Divide both sides by 4:

5/4 =k

So k=5/4 no matter what (m,n) pair they give you where the equation is m=kn.

m=(5/4)n

What is m when n=18?

m=(5/4)(18)

m=(5/2)(9)

m=45/2

m=22.5

You might be interested in
What is the value of x in the equation 5x-7=28
fredd [130]

5x -7 = 28

Add 7 to both sides:

5x = 35

Divide both sides by 5:

X = 7

The answer is x = 7

6 0
3 years ago
Solve for angle B, then side a. Round to the nearest tenth.
Sunny_sXe [5.5K]

Answer:

Angle B: 28 degrees

Side a: 27.6

Step-by-step explanation:

Angle B:

180-112-40=28

Side a:

sin 28/14 = sin 112/a

a = sin 112(14)/sin 28

a = 27.6

7 0
3 years ago
What mixed numbers are equivalent to −1. 5/6 ​ and ​ ​ −1. 7/9 ​ and use the LCD? Enter your answers in the box. if it helps the
Vlada [557]

Answer: -1.5/6 = -1/4; -1.7/9 = -17/90


Step-by-step explanation: Yeah, I'm not exactly sure what the problem is asking for, but this how I interpreted it. Use the LCD of the fractions -1.5/6 and -1.7/9 to find equivalent fractions with integer numerators and denominators.

For me, LCD doesn't help with solving the problem that much.

But anyways, the first fraction, -1.5, can be turned in an integer if you multiply the entire fraction by 2. So the result would be -3/12. You can simplify this to -1/4.

The second fraction, when multiplied by 10 yields -17/90. 17 is a prime number and is not a factor of 90, thus the equivalent fraction of -1.7/9 is 17/90.

Hope this helped.



8 0
3 years ago
Read 2 more answers
Nathan and Olivia are saving money for school supplies. Nathan saves $2 per week and already has $30 in his bank. Olivia saves $
melomori [17]

Answer:

Nathan: 2x+30

Olivia: 4x+15

Step-by-step explanation:

x is the number of weeks

Nathans account is as follows

2x+30

(2 dollars a week plus the 30 dollars already there)

Olivia's account is as follows

4x+15

(4 dollars per week plus the 15 already in there)

4 0
3 years ago
Simplify the expression
chubhunter [2.5K]

Answer:

  sin(α) -cos(α)

Step-by-step explanation:

\dfrac{2\sin^2{\alpha}-1}{\sin{\alpha}+\cos{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{(\sin{\alpha}+\cos{\alpha})(\sin{\alpha}-\cos{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-\cos^2{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-(1-\sin^2{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{2\sin^2{\alpha}-1}\\\\=\sin{\alpha}-\cos{\alpha}

4 0
3 years ago
Other questions:
  • The product of two consecutive odd positive numbers is 399. Find the two numbers
    12·1 answer
  • Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16). Wha
    14·1 answer
  • A bucket contains five green tennis balls, two yellow tennis balls, six red tennis balls, and eight blue tennis balls. Tony remo
    9·1 answer
  • Have no idea how to do 36, please help.
    12·1 answer
  • Complete the square to solve the equation below.
    11·1 answer
  • Sammie worked at the pizza place last Monday and brought home $60. If he makes $8.50 per hour and earned $13.25 in tips, how man
    13·2 answers
  • Help asap please!!<br> Find the measure of y.<br> A. 43<br> B. 53<br> C. 90<br> D. 47
    9·1 answer
  • Answer this question step by step​
    13·1 answer
  • HELP! Simplify<br><br>3/14<img src="https://tex.z-dn.net/?f=%5Csqrt%7B98%7D" id="TexFormula1" title="\sqrt{98}" alt="\sqrt{98}"
    15·1 answer
  • You have 5 cups of rice to make bibimbap, a popular Korean meal. The recipe calls for $\frac{4}{5}$
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!