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
zimovet [89]
4 years ago
7

Simplify the following expression.

Mathematics
2 answers:
Svetach [21]4 years ago
5 0

First you would want to get all your variables on one side and one with no variables on the other . then add them to eachother

Shkiper50 [21]4 years ago
4 0

Answer:

A

Step-by-step explanation:

(5x/9 + 1/6) + (3x/8 + 4/7) = 5x/ 9 + 3x/8 + 1/6 + 4/7           (add like terms)

= (5x*8/ 9*8) + ( 3x*9/8*9) + (1*7/6*7)  + (4*6/7*6)

                                                  {LCM of 8,9 is 72 and LCM of 6,7 is 42}

= 40x/72 +  27x/72  + 7/42 + 24/42

= (40x + 27x)72 + (7 +24)/42

= 67x/72 + 31/42

= 67x/72 + 31/42

You might be interested in
Please help!!! ASAP someone please
murzikaleks [220]

Answer:

0.31 yr

Step-by-step explanation:

The formula for interest compounded continuously is

FV = PVe^{rt}

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}

1. Brianna's doubling time

\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.065}\\\\& = & \textbf{10.663 yr}\\\end{array}

2. Adam's doubling time

The formula for interest compounded periodically is

FV = PV\left (1 + \dfrac{r}{n} \right )^{nt}

where

n = the number of payments per year

If FV is twice the PV, we can calculate the doubling time.

\begin{array}{rcl}2 & = & \left (1 + \dfrac{0.0675}{4} \right )^{4t}\\\\&= & (1 + 0.016875 )^{4t}\\& = & 1.016875^{4t}\\\ln 2& = & 4 (\ln 1.01688)\times t \\& = & 0.066937t\\t& = & \dfrac{\ln 2}{0.066937}\\\\& = & \textbf{10.355 yr}\\\end{array}

3. Brianna's doubling time vs Adam's

10.663 - 10.355 = 0.31 yr

It would take 0.31 yr longer for Brianna's money to double than Adam's.

3 0
3 years ago
A server sees 84 customers over 6 hours. How many customers did they see in 1 hour?
AveGali [126]

Answer: 14 customers

Step-by-step explanation: Right now, you can set up an equation that looks something like this. 6h=84 (h means hours). To find the number of customers in one hour, all you have to do is isolate h on one side of the equation. To do this, just divide both sides by 6 and you should get h=14. So in one hour, this particular server sees 14 people. Hope this helps! :)

7 0
3 years ago
How do I slove this x+7=3
FinnZ [79.3K]
Subtract 7 from both sides
x=-4
7 0
4 years ago
Read 2 more answers
Pls help me pls pls pls
shusha [124]

Answer:

1. 1 and 2;  2 and 3

2. 4 and 5;  5 and 6

3.  7 and 8;  8 and 9

4.  1 and 3;  2 and 4

Step-by-step explanation:

3 0
3 years ago
Carol is building a screen door. The height of the door is one foot more than twice its width. What is the width of the door if
Arte-miy333 [17]
Hello,

A good method for solving this question is creating an equation to solve for the width of the door.

Let w = the width of the door
Let h = the height of the door

The height (h) is twice the width (2w) and one foot more (+1).
We can make the equation h = 2w + 1

Now, we are given that the height of the door is 7 feet, so h = 7.
We can simply plug in 7 for h in the equation to solve for w. 

So, we have h = 2w + 1
7 = 2w + 1
Subtract by 1 on both sides to get:
6 = 2w
Divide by 2 on both sides to get:
w = 3

The width of the door is 3 feet.

However, we should check out answer with the given question to make sure it checks out.

We are given that the height of the door is one foot more than twice its width, and the height of the door is 7 feet.

Twice the width is 6 feet, and one foot more than that is 7 feet. Our answer checks out.

The width of the door is 3 feet.

Hope this helps!

6 0
3 years ago
Other questions:
  • The difference of a number and 12 is 4
    5·2 answers
  • Help its super easy!
    9·2 answers
  • Let f(x) = 5x - 4 and g(x) = x^2- 1. Find (g•f)(0).
    5·1 answer
  • Match the vocabulary word with the correct definition. 1. conclusion The if clause in a statement. 2. conditional or implication
    8·1 answer
  • What is the value of a in the following equation: -a = 3a + 8?
    15·2 answers
  • Please help,, this is due today I really need help :(
    11·1 answer
  • What is 15x when x=4
    12·1 answer
  • Whats my favorite color? yes or no?
    10·2 answers
  • Please help me if ur cool ill give brainliest ty <3
    6·1 answer
  • THE AREA OF A LAKE ON THE MAP IS 12CM SQUARE CALCULATE THE ACTRUAL AREA OF THE LAKE IN KM
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!