The average cost of a gallon of gas in year one was $2.95. The average cost of a gallon of gas in year two was $2.78. What is the percent of change in the average cost of a gallon from year one to year two? (4 points)
6.2%
6.1%
5.7%
5.8%

Answer:

third one helps to get the median the best measure from centre.

Answer:

13

Step-by-step explanation:

44=3x+5

44-5=39

39/3=13

Answer:

13 miles driven

Step-by-step explanation:

y = 3x + 5

Y is the amount we paid, so we insert 44 into the equation.

44 = 3x + 5

Any thing you do to one side of the equation, you do to the other side, so -5 from both sides.

44-5 = 39

5-5 = 0

So you are left with:

39 = 3x + 0    (So you can ignore the 0)

Like I said earlier, anything you do to one side of the equation you do to the other so divide both sides by 3:

39 divided by 3 = 13

3 divided by 3 = 1

So now you have:

13 = 1x

So x = 13 and that is how many miles you drove.

If this is confusing let me know

The effect of scaling on a hexagon by the scale factor of 6 is discussed above.

In geometry -

Given is a model of the hexagon that is made by using a scale factor of 6.

If the initial length is equivalent to {a}. Then, after the scaling by the scale factor of {K}, the length becomes {Ka}. So, we can write the perimeter of the hexagon, before and after the scaling as -

P{i} = P{before scaling} = 6 x side = 6a

P{i} = 6a                                                             ... Eq { 1 }

P{f} = P{after scaling} = 6 x 6a = 36a

P{f} = 36a                                                           ... Eq { 2 }

The total of the internal angles of the hexagon will remain 720° only.

Therefore, the effect of scaling on a hexagon by the scale factor of 6 is discussed above.

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The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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Answer:

Step-by-step explanation:

4x - 9 + 23x

Combine like terms

4x+23x  -9

27x  -9

Simplest form is combining all the like terms.

4x + 23x = 27x

Then you have -9

Simplest form = 27x -9

The percentage of boxes with green lamps is 60%, the correct option is C.

We are given that;

Number of boxes= 40

Green lamp boxes= 24

Now,

To calculate the percentage of boxes that contain green lamps, you need to divide the number of boxes with green lamps by the total number of boxes and then multiply by 100. This is according to the formula for finding a percentage of a number12.

=(24 / 40) x 100 = 60%

Therefore, by percentage the answer will be 60%.

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Answer:

Step-by-step explanation:

Given 10.43, you can 'estimate' it only by rounding off:

10.43 to the nearest tenth is 10.4.

10.43 to the nearest whole number is 10; we drop the fraction 0.43.

1

Answer:

21n/9n

= 7n/3n

21n/9n in the lowest terms is 7n/3n

Answer:

15%

65%

7.5%

Step-by-step explanation:

1.) Percentage of boys who bought 1 Sharkys

Number of boys that bought 1 sharkys = 15

Total number of boys = 100

= 15 / 100 * 100% = 15%

2.)

Percentage of girls who bought 2 or more sharkys :

Number of girls who bought 2 or more sharkys

= 65

Total number of girls = 100

= 65 / 100 * 100% = 65%

3.)

Percentage of people who bought no sharkys

Number of people who bought no sharkys = 15

Total number of people = 200

15 / 200 * 100% = 7.5%

Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

Answer:

23/13(-10/9+4) = -1.36094669

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

1. Length in terms of width is 5000/W meters

2. Solving for b gives us: \(b = \frac{2A}{h}\)

3.  Solving for t gives us: \(t = \frac{i-f}{g}\)

4. Solving for P gives us:

\(W = \frac{P}{2} - L\)

Step-by-step explanation:

1. The formula A = L x W gives the area of a rectangle R. The area of a rectangular garden is 5000sqm.  What is the garden's length in terms of width?

Given that

\(A= L*W\)

Also given that A = 5000 square meters.

Now,

\(5000 = L * W\)

Dividing both sides by W

\(\frac{L*W}{W} = \frac{5000}{W}\\L = \frac{5000}{W}\)

So,

Length in terms of width is 5000/W meters

2. The formula for the area of a triangle is A = ½ bh, where b is the length of the base, and h is the height. Solve for b

The given formula is:

\(A = \frac{1}{2}bh\)

Solving it for b means that the we have to isolate b

So,

\(A = \frac{1}{2}bh\\2A = 2. \frac{1}{2}bh\\2A = bh\\\frac{2A}{h} = \frac{bh}{h}\\b = \frac{2A}{h}\)

Solving for b gives us: \(b = \frac{2A}{h}\)

3. The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity,  g is acceleration due to gravity, and t is time. Solve for t.

Given

\(f = i-gt\\Now\\f+gt = i\\gt = i-f\\\frac{gt}{g} = \frac{i-f}{t}\\t = \frac{i-f}{t}\)

Solving for t gives us: \(t = \frac{i-f}{g}\)

4. Own Question: The perimeter of a rectangle is given by P = 2(L+W). Solve for width.

\(P = 2(L+W)\\\frac{P}{2} = \frac{2(L+W)}{2}\\\frac{P}{2} = L+W\\\frac{P}{2} - L = W\)

Solving for P gives us:

\(W = \frac{P}{2} - L\)

Answer:

the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"

Step-by-step explanation:

In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.

Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.

This means that the amount of practice every year explains how much he improves every year.

Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"

The average speed is 75.33 miles per hour.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Distance = 565 miles

Time.

= 5:00 pm t0 12:30 am

= 7.5 hours

Now,

Average speed.

= 565 / 7.5

= 75.33

Thus,

75.33 miles per hour is the average speed.

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Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, then graphs has 1 intersection.

y=mx+c is the slope intercept form of a line.

If the y-intercepts are the same, then the two linear have the same y-intercept as a solution. That is one common solution for both expressions. The two expressions intersect at that point. Since the slopes are different, there are no more common solutions since if two different lines intersect, they intersect at exactly one point and no more.

Therefore one is the greatest possible number of intersection for those graphs.

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Answer:its b one

Step-by-step explanation:

im right on edge and simple answer

We are given that the area of a rectangle is 42 square meters. The formula for the area of a rectangle is:

Where "w" is the width and "l" is the length. We are also told that the width is 5 meters longer than one-third of the length, this can be written mathematically as:

Replacing in the formula for the area:

Now we use the distributive property:

Now we replace the value of the area:

Now we subtract 42 to both sides:

Now we can multiply both sides by 3:

Now we factor this equation, we need two numbers which sum is 15 and their product is 126, we get:

Now we set each factor to zero:

We take the positive value and therefore, the length of the rectangle is 6 meters.

To determine the width we use the relationship given by the problem:

Replacing l = 6:

The width is 7 meters.

By definition of linear independence, the vectors in the set {a, b, c} are independent if

\(k_1\vec a+k_2\vec b+k_3\vec c=\vec0\)

can only be obtained with the choice of k₁ = k₂ = k₃ = 0.

This vector equation corresponds to the system of linear equations

\(\begin{cases}k_1 - 2k_3 = 0 \\ 2k_1 + k_2 = 0 \\ k_1 + 2k_3 = 0\end{cases}\)

The first equation says k₁ = 2 k₃, while the third one says k₁ = -2 k₃. This can only be possible if k₁ = k₃ = 0, and from the second equation it follows that k₂ = 0. So the given set is linearly independent (and *not* dependent).

Answer:

The answer is explained below

Step-by-step explanation:

The steps to prioritize the mission with a scoring version are as follows:

Collection: This step consists of collecting and collecting all of the details associated with the mission.

Classification: This step consists of prioritization of the challenge based on a category method.

Verification: This step includes approval and verification of all classified projects.

They are then carried out in this order because these steps make certain safety, connectivity, integrity, cost-effectiveness, and right challenge implementation. Each step depends on the previous step. They are connected to every other; therefore, they are carried out in a particular sequence.

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

x is 34.28 rounded to the nearest hundredth

Step-by-step explanation:

Since it is a right-angled triangle, using Pythagoras' rule; SOH/CAH/TOA

Since the known variables are: Opposite(19), Adjacent(x), and Theta(29°);

So, TOA would be used;

tan 29° = 19 / x (cross multiply) Making x the subject of the formula;

x = 19 / tan 29° = 34.276 = 34.28 rounded to the nearest hundredth

x = 34.28

Answer:

-78-(-34)+(-14)

Step-by-step explanation:

-78+(+34)+(-14)

-78-14

-92+34

-58

And thats the answer needed there for it would be the last expression.

Monday 4hours and 30minutes were worked

do 12-8 then take the thirty minutes and add it on to the difference

because that is the time she is working

happy to help plz mark brainliest

Using the Pythagoras theorem, we can find the value of x to be = 10ft.

Option B is correct.

The right-angled triangle's three sides are related in line with the Pythagoras theorem, also referred to as the Pythagorean theorem. The hypotenuse of a triangle's other two sides add up to a square, according to the Pythagorean theorem, which states that.

Here in the question,

We have 2 right-angled triangles.

So, base of the large triangle, x

= √ (13² - 12²) + √ (13² - 12²)

= √ 5² + √ 5²

= 5 + 5

= 10ft.

Therefore, the length of the side, x = 10ft.

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The two angles to be selected are as follows with their termination quadrants respectively;

According to the task content, two angles are to be selected in which case one is in degrees and the other in radians with the quadrants in which their terminal sides lie.

Consequently, it follows from convention that the angles in discuss are as follows;

Ultimately, the angles are as represented above in which case, (4π/3) radians is equivalent to 240°.

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Answer:

-15x²y²+3xy

Step-by-step explanation:

((−3x)(y))(5xy−1)

=((−3x)(y))(5xy+−1)

=((−3x)(y))(5xy)+((−3x)(y))(−1)

=−15x²y²+3xy

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

Answer:

Step-by-step explanation:

real number can be irrational or integer.

otherwise there is no number which can be irrational,integer and real (all together)

Answer: The answer is B) there is no such number.

Step-by-step explanation:

So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:

- irrational means not rational and cannot be represented by a simple fraction (like pi )

- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )

- and a real number means that it is not imaginary ( like 2i, \(\sqrt{-1}\) )

And our choices here are:

-  -4/2

-  there is no such number

Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.