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
lubasha [3.4K]
3 years ago
8

Find the value of the variable and MN if N is between M and Q. Round to the nearest hundredth if necessary. 

Mathematics
1 answer:
Rudiy273 years ago
3 0
<em><u>Answer:</u></em>
MN = 4 units

<u><em>Explanation:</em></u>
<u>1- getting the value of m:</u>
<u>We are given that:</u>
NQ = 4m and NQ = 12
<u>This means that:</u>
12 = 4m
\frac{4m}{4} =  \frac{12}{4}
m = 3

<u>2- getting MQ:</u>
<u>We are given that:</u>
MQ = 5m + 1
<u>We have calculated that:</u>
m = 3
<u>Therefore:</u>
MQ = 5(3) + 1 = 15 + 1 = 16 units

<u>3- getting MN:</u>
We are given that point N is located somewhere between points M and Q.
<u>This means that:</u>
line MQ can be divided into two portions: MN and NQ
<u>This also means that:</u>
length of MQ = length of MN + length of NQ

<u>We have calculated that:</u>
MQ = 16 units
<u>We are given that:</u>
NQ = 12 units
<u>Therefore:</u>
16 = length of MN + 12
length of MN = 16 - 12
length of MN = 4 units

Hope this helps :)
You might be interested in
Leslie has a voucher worth $5 coupon from Wal-Mart.She visits the store and purchases a wallet that amounted to double the price
jasenka [17]

Answer:

The Cost of wallet was $26.30.

Step-by-step explanation:

Given:

Total billed after redeeming voucher = $34.45

Voucher worth = $5

We need to find the cost of Wallet.

Solution:

Let the amount paid for groceries be 'x'.

Now Given:

She purchases a wallet that amounted to double the price she paid for the groceries she bought.

Cost of wallet = 2x

Now to find the cost of wallet we will consider the amount before redeeming the voucher.

Hence Total bill before redeeming the voucher = \$34.45+\$5=\$39.45

Now We can say that;

Total bill is equal to sum of Cost of wallet and Cost of groceries.

framing in equation form we get;

x+2x=39.45\\\\3x=39.45

Dividing both side by 3 we get;

\frac{3x}{3}=\frac{39.45}{3}\\\\x=\$13.15

Cost paid for groceries = $13.15

Cost paid for wallet = 2x=2\times 13.15 =\$26.30

Hence the Cost of wallet was $26.30.

6 0
3 years ago
(a^2-b^2) (c^2-d^2) +4abcd​
Vikki [24]

a^{2}  {c}^{2}  -  {a}^{2}  {d}^{2}  -  {b}^{2}  {c}^{2}  +  {b}^{2}  {d}^{2}  + 4abc

5 0
3 years ago
A coin which is tossed straight up into the air. After it is released it moves upward, reaches its highest point and falls back
Helen [10]

Answer:

Answers  G, and A

Step-by-step explanation:

the motion of a body is as a result of the various forces acting on it.

As the coin is tossed upwards an upwards force acts on it and this force decreases up to the highest point the coin reaches. at the highest point the force of gravity applies. This force is downwards and constant (9.8m/s^{2}).

4 0
3 years ago
Write the equation of the parabola that has the vertex at point (2,7) and passes through
Anton [14]

Answer:

f(x) =  \frac{4}{3} (x - 2) ^{2}  + 7

Step-by-step explanation:

the answer is :- .

f(x) =  \frac{4}{3} (x - 2) ^{2}  + 7

6 0
2 years ago
4 x (5+5)<br> I need the distributive property and the answer please I need it ASAP!
Paraphin [41]
4 x 5 x 5 is 100 if u distribute

Now 5 + 5 x 4 is 25
5 0
3 years ago
Other questions:
  • What is the first step in solving a quadratic equation of the form given below? (ax + b)2 = c
    11·2 answers
  • Wich best states why the author and ednuigety is so annoying
    15·1 answer
  • Write a function rule to define the sequence : 2, -3, -8, -13<br> Please help me ASAP!
    6·1 answer
  • What is 2/3+3/4+5/8 please help
    12·1 answer
  • What does (+6) - (-2) =
    6·1 answer
  • Solve the system of equations x + y = 4 and -9x + 7y = -84 by combining the<br> equations.
    12·1 answer
  • A fish tank is the shape of a cube. It's volume is 125 ft3. What is the area of one face of the tank
    14·1 answer
  • What is the y-intercept of the line graphed on the grid? <br>A) -1 <br>B) 2 <br> C) -2 <br>D) 1​
    14·1 answer
  • YES OR NO<br><br> PLEASE HELP MEE THANK YOUUU
    8·2 answers
  • . Solve the system of equations using the Elimination Method.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!