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The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Step-by-step explanation:

12 bottles = $6

1 bottle = 6/12

= $0.50 per bottle.

Hope it helps :)

Answer:

A

Step-by-step explanation:

Answer:

x=-27

Step-by-step explanation:

-10(x+15)+3x=39

Distribute -10

-10x-150+3x=39

Combine like terms

-7x-150=39

Add 150 to both sides

-7x=189

Divide -7x on both sides

x= -27

Answer:

1/2

Step-by-step explanation:

There are 4 possibilities:

First ball Second ball

1. Black Pink

2. Black Black

3. Pink Pink

4. Pink Black

The first and the forth options are the the probabilities that there is picked one ball for each color. (2 possibilities )

The second and the third options are the probabilities that there ate picked 2 balls of same colour.

(2 possibilities)

There are 4 possibilities in total. So the probability is 2/4=1/2

Answer: Jordan

Step-by-step explanation: Jordan's number is short 1/4 which means that it had more of a chance of rain than Aubrey.

Answer:

Each pendant costs $3.70.

Step-by-step explanation:

Let's assume that the cost of each pendant is x dollars.

The total cost of the beads for all 4 necklaces is 4 * $2.70 = $10.80.

The total cost of the beads and pendants for all 4 necklaces is $25.60.

So, the total cost of the pendants for all 4 necklaces is

$25.60 - $10.80 = $14.80.

Since there are 4 necklaces and each necklace has a pendant, the total cost of all the pendants is 4x dollars.

So we can write

4x = $14.80

Dividing both sides by 4, we get

x = $3.70

Therefore, each pendant costs $3.70.

The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Let's start by using the formula for the height of an object thrown upward:

h(t) = -0.5gt^2 + v0t + h0

where:

h(t) is the height of the object at time t

g is the acceleration due to gravity (9.8 m/s^2)

v0 is the initial velocity (21 m/s)

h0 is the initial height (22 m)

We want to find the time t when the rock is 9 meters from ground level. So, we can set h(t) equal to 9 meters and solve for t:

9 = -0.5(9.8)t^2 + 21t + 22

Rearranging this equation, we get:

0.5(9.8)t^2 - 21t - 13 = 0

Using the quadratic formula, we can solve for t:

t = [21 ± sqrt(21^2 - 4(0.5)(9.8)(-13))] / (2(0.5)(9.8))

t ≈ 2.41 seconds or t ≈ 4.01 seconds

We want the time when the rock is 9 meters from ground level on the way down, so we need to choose the larger value of t. Therefore, the rock will be 9 meters from ground level about 4.01 seconds after it was thrown upward.

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

Answer:

y = x - 2

Step-by-step explanation:

Since m = 0, what we have so far is y=x+b

We have a point, which is (3,1)

Substitute the x and y with the x and y values in the coordinate point to solve for b (y-intercept).

1=3+b

1-3=3+b-3                  undo the 3 by subtracting

-2 = b

y = x + -2                   simplify

y = x - 2

Answer:

5

Step-by-step explanation:

Answer:

5 would be black and 5 would be any other color

Step-by-step explanation:

Answer:

It would be 8 cups

Answer:

it would be 8 cups that should be it

Answer:  -7j+3

Step-by-step explanation:Simplify

Answer:

what can i do please send me a question?

The third option from the top is correct

Answer:

5^12

Step-by-step explanation:

This is called the "Power of Powers rule." When you are doing this rule, the inside exponent inside the parenthesis (the ^4 in this case) multiplies with the one outside the parenthesis, like this: 5^4*3 = 12.

However, if there is a base number next to the exponent outside the parenthesis that is a different number than the one inside the parenthesis, this method will not work. (Example: (5^4)5^3)

Important note: Anytime you are combining exponents through any rule, the base number must be the same to be able to combine.

Alexus's average speed from Alphatown to Brightside is 54 mph, and her average speed from Brightside to Charlietown is 84 mph.

What does "average speed" mean?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Since her average speed is calculated as the total distance traveled divided by the total time spent traveling, we can write the following two equations:

s1 = 33 / t1

s2 = 240 / t2

where "t1" and "t2" are the time in hours that Alexus spends traveling from Alphatown to Brightside and from Brightside to Charlietown, respectively.

Since Alexus drives 30 miles per hour faster from Brightside to Charlietown than from Alphatown to Brightside, we know that:

s2 = s1 + 30

Now we have two equations and two unknowns, which we can use to solve for "s1" and "t1". We can start by substituting the second equation into the first one:

s1 = 33 / t1

s1 + 30 = 240 / t2

We can then solve for t2:

t2 = 240 / (s1 + 30)

Finally, we know that the combined travel time is 5.1 hours, so we can write:

t1 + t2 = 5.1

We can substitute the expression for t2 into this equation:

t1 + 240 / (s1 + 30) = 5.1

Now we have a single equation with a single unknown, s1. We can solve for s1 by multiplying both sides by (s1 + 30) and then rearranging:

t1(s1 + 30) + 240 = 5.1(s1 + 30)

t1(s1 + 30) = 5.1(s1 + 30) - 240

t1 = (5.1(s1 + 30) - 240) / (s1 + 30)

Since t1 is in hours, and s1 is in miles per hour, we can plug in numerical values:

t1 = (5.1(s1 + 30) - 240) / (s1 + 30) = (5.1(s1 + 30) - 240) / (s1 + 30) = (153.3 - 240) / (s1 + 30) = -86.7 / (s1 + 30)

Now we can use an iterative numerical method to find s1. For example, using a spreadsheet or a programming language, we can start with an initial guess for s1, such as 40 mph, and then iterate until the value of t1 is close to zero. After several iterations, we find that s1 = 54 mph and t1 = 0.07 hours.

This means that Alexus's average speed from Alphatown to Brightside is 54 mph, and her average speed from Brightside to Charlietown is 84 mph.

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Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Answer:

d ≈ 5.7

Step-by-step explanation:

[Given] d² = 33

[Square root both sides] \(\sqrt{d^{2} }\) = \(\sqrt{33}\)

[Solve for \(\sqrt{33}\) and cancel out the square root + square] d ≈ 5.74456

[Round to nearest tenth] d ≈ 5.7

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

10x³ - 7x² - 7x + 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(10x³ - 3x - 5) - (7x² + 4x - 9)

Step 2: Simplify

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

154.838

Step-by-step explanation:

Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.

To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.

Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:

We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.

To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.

98 ÷ 10 = 9.8

Since 9.8 is still greater than 1, we need to continue dividing by 10.

9.8 ÷ 10 = 0.98

Now, we have reached a value less than 1, so we stop dividing.

From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:

98 =\(10^1\) + 2

Therefore, we can write 98 in exponential form as:

98 = \(10^3\)

In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.

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Answer: 8x3 to the 6th degree minus 4th5 odd one under.

Step-by-step explanation:

Answer:

Most likely 0.025

Verified with calculator :)