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
Helen [10]
2 years ago
10

Find the value of the variable and YZ if Y is between X and Z. XY=4n+3, YZ=2n-7,XZ=22

Mathematics
1 answer:
ruslelena [56]2 years ago
7 0

Answer:

\large \boxed{n = \dfrac{13}{3}; YZ = \dfrac{5}{3}}}

Step-by-step explanation:

I think you have the situation shown in the diagram below.

1. Calculate the value of n

\begin{array}{rcl}XY + YZ & = & XZ\\4n+ 3 + 2n - 7 & = & 22\\6n - 4 & = & 22\\6n & = & 26\\n & = & \dfrac{26}{6}\\\\& = & \mathbf{\dfrac{13}{3}}\\\end{array}\\\large \boxed{\mathbf{n = \dfrac{13}{3}}}

2. Calculate the value of YZ

\begin{array}{rcl}YZ & = & 2n - 7\\& = & 2\left (\dfrac{13}{3}\right ) - 7 \\\\& = & \dfrac{26}{3} - 7\\\\& = & \dfrac{26}{3} - \dfrac{21}{3}\\\\& = & \dfrac{5}{3} \\\\\end{array}\\\large \boxed{YZ = \mathbf{ \dfrac{5}{3}}}

You might be interested in
An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk band
qwelly [4]

Given :

An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each.

Mrs. Tran spent a total of $93 on bandanas at this store.

To Find :

How many cotton bandanas did Mrs. Tran buy.

Solution :

Let, number of cotton and silk bandanas buys are x and y respectively.

So, 7x + 11y = 93

x = (93 - 11y)/ 7

Putting y = 1 , x = 82/7 ( not possible since x can only be positive integer )

Putting y = 4 , x = 7

Therefore, Mrs . Tran will buy 7 cotton bandanas.

Hence, this is the required solution.

8 0
2 years ago
What is .38 into a fraction
Alona [7]

<em>Your answer is the following.</em>

<em></em>

<em>Answer = 19/50 </em>

<em />

5 0
3 years ago
Read 2 more answers
Latanya and George
tekilochka [14]

Question is Incomplete, Complete question is given below.

Latanya and George are saving up money because they both want to buy new bicycles. Latanya opened a savings account with $50. She just got a job and is determined to save an additional $30 a week. George started a savings account with $75. He is able to save $25 a week. Find the time (in weeks) when Latanya and George will have the same amount of money in their savings accounts.

Answer:

Latanya and George will have same amount after 5 weeks.

Step-by-step explanation:

Given:

Opening Amount in account of Latanya = $50

Amount deposited every week = $30

Let number of week be 'w'.

Total Amount in Latanya  savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in Latanya  savings account = 50+30w

Also Given:

Opening Amount in account of George = $75

Amount deposited every week = $25

Let number of week be 'w'.

Total Amount in George  savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in George savings account = 75+25w

Now we need to number of week when both will have same amount.

Now to find number of week when both will have same amount we need to make both the equation same we get;

50+30w = 75+25w\\\\30w-25w = 75-50\\\\5w=25\\\\w=\frac{25}{5}=5

Hence Latanya and George will have same amount after 5 weeks.

8 0
2 years ago
−<br> 1<br> 4<br> (<br> −<br> 8<br> x<br> +<br> 12<br> y
lawyer [7]

Answer:

I am assuming the question is

-14(-8×12y)

112-168y

Step-by-step explanation:

you have to expand the brackets first.

then you can't do anything after expanding the brackets because they are not like terms

hope this was helpful

8 0
2 years ago
Create a model to represent the following percents.<br> a. 90% b. 0.9% c. 900% d. 910%
Fynjy0 [20]

Answer:

90%

Step-by-step explanation:

90%

is the correct answer

3 0
2 years ago
Other questions:
  • LCD of 1/5 and 9/10?
    12·1 answer
  • Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week
    6·2 answers
  • Find the value of each variable. <br> I need help only on 3 please
    9·2 answers
  • BRAINLIEST AND 13 points plz help ASAP
    15·2 answers
  • What is the product of-3 and-13? Enter your answer as a mixed number, in simplified fom, in the box​
    5·1 answer
  • Great Free Practice Problems
    7·2 answers
  • Which represents -5x + 4y &gt; -1
    14·2 answers
  • Help me please , will mark brainliest
    14·1 answer
  • Which statement best describes a many-to-one function?
    11·1 answer
  • Please solve.<br> w-(y-x)-1
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!