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
Vikentia [17]
3 years ago
12

Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 E

ndFraction equals 6 x. – x + = 6x by recognizing properties, rather than solving. Check all that apply.
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

A, B, F

Step-by-step explanation:

2/3 - x + 1/6 = 6x

Collect like terms

2/3 + 1/6 = 6x + x

(4+1) / 6 = 7x

5/6 = 7x

x = 5/6 ÷ 7

= 5/6 × 1/7

x = 5/42

a) 4 - 6x + 1 = 36x

4 + 1 = 36x + 6x

5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

b) 5/6 - x = 6x

5/6 = 6x + x

5/6 = 7x

This is equivalent to the third step of the simplification

c) 4 - x + 1 = 6x

4 + 1 = 6x + x

5 = 7x

x = 5/7

Not equivalent to any of the steps in the simplification above

d) 5/6 + x = 6x

5/6 = 6x - x

5/6 = 5x

x = 5/6 ÷ 5

= 5/6 × 1/5

x = 5/30

Not equivalent to any of the steps in the simplification above

e) 5 = 30x

x = 5/30

Not equivalent to any of the steps in the simplification above

f) 5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

You might be interested in
Use the diagram below to solve for x and y. Please help! Fast if possible.
Mila [183]

Answer:

x = 27

y = 29

Step-by-step explanation:

8 0
3 years ago
An arena receives $1,700 per event for 12 concerts. If the costs for this sponsorship total $14,000, what is the profit margin f
miss Akunina [59]

Answer:

total profit margin for all 12 concert is $6,400.

profit margin for all one concert is  $533.33

Step-by-step explanation:

Amount of money received for one event = $1700

Total no of concert = 12

Total money received for 12 event = Amount of money received for one event * Total no of concert

Total money received for 12 event  = $1700 *12 = $20,400

Total cost of sponsorship = $14,000

Profit margin is the difference money invested and money earned.

here total investment is $14,000

Total money earned is  $20,400

Therefore profit margin = money earned - total investment

= $20,400 -  $14,000 = $6,400

Therefore total profit margin for all 12 concert is $6,400.

However to calculate profit margin for one concert we can simply divide the total profit margin for all 12 concert by no of concert (i.e 12)

profit margin for one concert = total profit margin for all 12 concert/total no of concert  = $6,400/12 = $533.33

profit margin for all one concert is  $533.33

6 0
3 years ago
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s radius r 35 kilometers a
weeeeeb [17]

Answer:

Step-by-step explanation:

s=rtheta

s/r=theta

11.5/25=theta

theta=.46

3 0
2 years ago
The city will place a low fence around the entire fish pond.To the nearest hundredth, how long will the fence be?
Tom [10]
You can't tell the dimensions from the area. There are an infinite number of correct answers. The length of the fence is 2 times (length of the pond + width) and the length and width can be anything, just as long as their product is 2956.5 .
7 0
3 years ago
During a baseball game, a food stand sells popcorn for $2.50 and hotdogs for $3 each. If at the end of the game, the stand made
nasty-shy [4]
Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs

we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2

substitute 2 in 1

2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
y=25
x=2y-----> x=2*25-----> x=50

the answer is
50 bags of popcorn
25 bags of hotdogs<span />
5 0
3 years ago
Other questions:
  • An elephant can run 1/4 of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant ru
    8·1 answer
  • How to solve:<br> 8(2)-4<br>________<br>8÷4 ?
    12·2 answers
  • Can someone please help . i don’t get what they mean by labeling it e
    11·1 answer
  • 4 sin ^ 2 x- 4 sin x + 1 = 0
    9·1 answer
  • A study of voting chose 663 registered voters at random shortly after an election. Of these, 72% said they had voted in the elec
    13·1 answer
  • Evaluate when y=4 and 1 = 2 xy + 2x2
    13·1 answer
  • Help please?
    15·2 answers
  • Calculate the pOH for a solution with h3o 2.5x10-5 g?
    6·1 answer
  • What is 33+x2 I need help now plz!!!
    7·1 answer
  • Transversal t cuts parallel lines a and bas shown in the diagram. Which equation is necessarily true?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!