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
svp [43]
3 years ago
11

Haley wrote the expression 24m – 6n. Kensi wrote an expression equivalent to Haley’s. Which expression could Kensi have written?

2(6m – 4n) 4(6m – 6n) 6(4m – n) 12(2m – 2n)
Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:

C) 6(4m-n)

Step-by-step explanation:

Because 6(4m-n)=24m-6n.

You might be interested in
A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon
melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.  

X~ Uniform(0,100)

Then the probability mass function is given as follows.

f(x) = P(X=x) = 1/100  \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0  \,\,\,\, \text{otherwise}

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located  70 meters away from city A then the mid point between 20 and 70  is (70+20)/2 = 45 then we can represent D as follows

D(x) =\left\{ \begin{array}{ll}  x  & \mbox{if } 0\leq x \leq 20 \\  x-20 & \mbox{if } 20\leq x < 45\\                70-x & \mbox{if } 45 \leq x \leq 70\\                x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable Y = D(X), Y is a random variable as well, remember that there is a theorem that says that

E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx

Where f(x) is the probability mass function of X. Using the information of our problem

E[Y] = \int\limits_{-\infty}^{\infty}  D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx  \bigg]\\= \frac{51}{4} = 12.75

3 0
3 years ago
What is the length of angle EF in the right triangle below
salantis [7]

Answer:

E.  √180

Step-by-step explanation:

Using Pythagoras' theorem

a^2 + b^2 = c^2 (c = hypotenuse, a and b are legs)

a^2 = c^2 - b^2

a^2 = 18^2 - 12^2

a^2 = 324 - 144

a^2 = 180

a = √180

Answer

E.  √180

6 0
3 years ago
X + 3 &lt; 15<br> what is 4
professor190 [17]

Answer:

X = > 12 because 15 - 3 = 12 and if X was more than 12 it would be wrong.

Step-by-step explanation:

6 0
3 years ago
A man invests $8 000 at 12% simple interest for 3 years. If he invests the same amount of money for the same time period at 12%
AleksandrR [38]

Answer:

  $359.42

Step-by-step explanation:

The difference in the investment values can be computed by making use of the formulas for the account balance in each case.

  compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually

  simple interst: A = P(1 +rt) . . . . simple interest at rate r

__

The account earning simple interest will have a balance of ...

  A = $8000(1 +0.12×3) = $10,880

The account earning compound interest will have a balance of ...

  A = $8000(1 +0.12)^3 ≈ $11,239.42

The difference between the two investments is ...

  $11,239.42 -10,880 = $359.42

5 0
2 years ago
What is the solution to this system of equations<br>A. (4,2)<br>B. (8,4)<br>C. (4,8)<br>D. (2,4)​
svlad2 [7]

Answer:

B. (8,4)

Step-by-step explanation:

To find the solution of the system, look at where the lines intersect. The intersecting point is (8,4). The solution to the system of equations is (8,4).

5 0
3 years ago
Read 2 more answers
Other questions:
  • A cube has a side length of 6 centimeters what is the volume
    6·2 answers
  • A 2- liter bottle of water has a mass of 2 kilograms. How many grams is that?
    6·1 answer
  • Find the number of real number solutions for the equation. x2 – 10x + 25 = 0<br><br><br> 2<br><br> 1
    8·1 answer
  • 7 is 70% of what number
    13·2 answers
  • What is the area of the following circle?
    5·1 answer
  • 15/2g-7=3/5 what is g
    12·1 answer
  • Have a wonderful day :)and here are free pts to make your day better &lt;3<br> 12 x 9 = ?
    5·2 answers
  • When renting a limo for prom, the number of people varies inversely
    13·2 answers
  • Daniel is baking cookies but does not have all of the he needs. The ratio of flour:sugar in his recipe is 3:2cups. If he only ha
    13·1 answer
  • PLEASE HELP <br><br> WILL GIVE BRAINLIEST<br> AND 5.0 RATING
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!