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
julsineya [31]
3 years ago
8

Solve for 1/3(8x-5)-4=-3

Mathematics
2 answers:
Tems11 [23]3 years ago
8 0

Answer: x = 1

Step-by-step explanation

irakobra [83]3 years ago
5 0

Let's solve your equation step-by-step.

13(8x−5)−4=−3

Step 1: Simplify both sides of the equation.

13(8x−5)−4=−3

(13)(8x)+(13)(−5)+−4=−3 (Distribute)

83x+−53+−4=−3

(83x)+(−53+−4)=−3 (Combine Like Terms)

83x+−173=−3

83x+−173=−3

Step 2: Add 17/3 to both sides.

83x+−173+173=−3+173

83x=83

Step 3: Multiply both sides by 3/8.

(38)*(83x)=(38)*(83)

X = 1

You might be interested in
An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 51% of passengers have no c
Orlov [11]

Answer:

The average revenue per passenger is about $13.85

μ = $13.85

The corresponding standard deviation is $14.51

σ = $14.51

The airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

Expected revenue = $1,662 ± 14.51

Step-by-step explanation:

An airline charges the following baggage fees:

$25 for the first bag and $35 for the second

Suppose 51% of passengers have no checked luggage,

P(0) = 0.51

33% have one piece of checked luggage and 16% have two pieces.

P(1) = 0.33

P(2) = 0.16

a. Build a probability model, compute the average revenue per passenger, and compute the corresponding standard deviation.

The average revenue per passenger is given by

μ = 0×P(0) + 25×P(1) + 35×P(2)

μ = 0×0.51 + 25×0.33 + 35×0.16

μ = 0 + 8.25 + 5.6

μ = $13.85

Therefore, the average revenue per passenger is about $13.85

The corresponding standard deviation is given by

σ = √σ²

Where σ² is the variance and is given by

σ² = (0 - 13.85)²×0.51 + (25 - 13.85)²×0.33 + (35 - 13.85)²×0.16

σ² = 97.83 + 41.03 + 71.57

σ² = 210.43

So,

σ = √210.43

σ = $14.51

Therefore, the corresponding standard deviation is $14.51

b. About how much revenue should the airline expect for a flight of 120 passengers? With what standard deviation?

For 120 passengers,

Expected revenue = 120×$13.85

Expected revenue = $1,662 ± 14.51

Therefore, the airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

6 0
3 years ago
Please help 100 points and brainlest for all the answers
masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

y=16x

If x=10, then y=16\cdot 10=160 square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

y=0.45x

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

y=12.5x

When x=14, then y=12.5\cdot 14=175

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is 40\div 5=8

and for x = 700, y must be 7\cdot 8=56 not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is k=1.75

The equation of proportionality is y=1.75x

When y=28, then

28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

k=\dfrac{61}{2}=30.5

The equation of proportional relationship is

y=30.5x

When y=274.50, then

274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

y=kx

Circle all equations in this form:

y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

4 0
3 years ago
Read 2 more answers
I dont understand this question. I need help!!!!!!!
Lisa [10]

Answer:

50

Step-by-step explanation:

just look at the segment in common

25×2=50

8 0
3 years ago
Please help me with this I don’t understand
Radda [10]

Decreased by means " -".

11.4 -15.7 = -4.3

Answer A.

7 0
3 years ago
Read 2 more answers
The dimensions of a gymnastic floor are 40 ft by 40 ft. the performance floor is 1 ft less, or 39 ft, per side.
Mashutka [201]

Answer:

the square root of 3200

Step-by-step explanation:

I'm not sure if this is right, because the format of the question wasn't clear, but it sounded like we have to find the diagonal distance of the room from one corner to the opposite. If the sides are 40ft long on both sides, we can use the Pythagorean Theorem to solve this:

40^2+40^2=c^2

1600+1600=c^2

3200=c^2

c=sqrt(3200)

or about 56.5

4 0
2 years ago
Other questions:
  • Find all the quartiles for the following data set.
    10·2 answers
  • Do number 16<br> Vvrhejdhdhdjdjdjfjfhdjdjd
    10·2 answers
  • What is the missing exponent? 64/81 = (8/9)?.
    14·2 answers
  • An item costs $320 before tax, and the sales tax is $22.40 . Find the sales tax rate. Write your answer as a percentage.
    15·1 answer
  • The equation y - 3 = -2(x + 5) is written in point-slope form. What is the y-intercept of the line?
    15·2 answers
  • Re-write the expression below.<br><br>will award brainliest<br><br>(PLEASE HELPP)
    8·1 answer
  • You are working on an assignment for your statistics class. You need to estimate the proportion of students at your college who
    11·1 answer
  • Solve: 5x2 + 25x = 0.
    14·1 answer
  • Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815
    15·1 answer
  • Math help pls answwer
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!