Jamarius just filled up his SUV for $58.56. If he put 24 gallons of gas in the tank, what was the cost per gallon?

Answer:

1.rocky

Step-by-step explanation

1.we have the add the powers of x,not multiply.

By understanding the concepts of division and multiplication of exponents, we can say that Rocky and Kay are correct.

If we are multiplying similar bases, we simply add the exponents. If we are dividing, we simply subtract the exponents.

\((x^{5})(x^{3}) = x^{5+3}=x^{8}\\ \\ \frac{x^{12}}{x^{8} } = x^{12-8} = x^{4}\)

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Answer:

yes its too hard to explain but yes

These descriptors can be classified as a geographic distribution, expressed mathematically as a percentage of the total population living within a certain radius or certain counties.

These descriptors can best be classified as a geographic distribution. Specifically, the 70% of season ticket holders within 30 miles of the stadium can be expressed mathematically as a percentage of the total population living within that radius. The equation for this would be:

P = (70/100) * T

Where P is the percentage of the total population living within 30 miles of the stadium, and T is the total population within that radius.

The 40% of season ticket holders living within three different counties can also be expressed mathematically as a percentage of the total population living within those counties. The equation for this would be:

P = (40/100) * T

Where P is the percentage of the total population living within the three counties, and T is the total population within those counties.

Therefore, these descriptors can be classified as a geographic distribution, expressed mathematically as a percentage of the total population living within a certain radius or certain counties.

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The answer to whether or not the triangles are similar depends on the given information, so it could be either option C or D.

If the given information includes the measures of two angles of each triangle, and the two pairs of angles are congruent, then we can conclude that the triangles are similar by the AA theorem. On the other hand, if the given information includes the measures of two sides and the included angle of each triangle, and the two pairs of sides are proportional and the included angles are congruent, then we can conclude that the triangles are similar by the SAS theorem.

If the question includes a diagram or gives information about the measures of angles or sides, we can apply the triangle similarity theorems to determine if the triangles are similar. However, if there is not enough information provided, then we cannot definitively determine if the triangles are similar and options A or B would be correct. It is important to note that there are other similarity theorems that can be used to prove similarity, such as the SSS (Side-Side-Side) theorem and the AAA (Angle-Angle-Angle) theorem, but these theorems are not applicable in all cases. It is also important to remember that similarity does not imply congruence, as similar figures have the same shape but not necessarily the same size.

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Answer:

I think it would be a

Step-by-step explanation:

Im really srry if im wrong but I hope this helped! also pls correct me if im wrong ty!

Answer: 5 years

Step-by-step explanation:

The total surface area of the triangular prism is  225  in²

Remember that the area of a rectangle of length L and width W is:

A = L*W

And the area of a triangle of base B and height H is:

A = B*H/2

The areas of the 2 triangular faces is:

A = (4.5 in)*6in/2 = 13.5 in²

And the areas of the 3 rectangular faces are:

Then the total surface area is:

2*(13.5 in²) + 66 in² + 49.5 in² + 82.5 in² = 225  in²

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The risk premium for Idaho Bakery stock is 8.97%.To calculate the risk premium for Idaho Bakery stock, we need to subtract the risk-free rate from the expected return on the market.

The risk premium represents the additional return expected from an investment above the risk-free rate to compensate for the additional risk.

The formula for the risk premium is:

Risk Premium = Expected Market Return - Risk-Free Rate

Given:

Beta (β) = 2.71

Expected Return on Market = 11.09%

Risk-Free Rate = 4.65%

Inflation = 2.53%

To calculate the risk premium, we first need to adjust the Risk-Free Rate for inflation:

Real Risk-Free Rate = Risk-Free Rate - Inflation

Real Risk-Free Rate = 4.65% - 2.53% = 2.12%

Now, we can calculate the Risk Premium:

Risk Premium = Expected Market Return - Real Risk-Free Rate

Risk Premium = 11.09% - 2.12% = 8.97%

Therefore, the risk premium for Idaho Bakery stock is 8.97%.

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Answer:

1.   E:  20a - 18

2.  D:  42

3.  G:  17b + 3

4.  I:  105

CODE: EDGI

Step-by-step explanation:

Question 1

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

Perimeter = 2(2a + 3) + 2(8a - 12)

                 = 4a + 6 + 16a - 24

                 = 20a - 18

Question 2

When a = 3

⇒ perimeter = 20(3) -18

                     = 60 - 18

                     = 42 centimeters

Question 3

The dashes on the side lengths mean those sides are equal in length.

⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)

                     = 17b + 3

Question 4

When b = 6

⇒ perimeter = 17(6) + 3

                     = 102 + 3

                     = 105 meters

______________________________

 - When solving problems like these (One-Step Equations,) to get x alone you must do the opposite of what you see.

- In this situation we have a positive 3. So to get rid of both numbers you do the opposite: Opposite of +3 is -3. So you subtract 3 from each number.

______________________________

Answer: The two pairs of same-side interior angles are CHG and HGA and DHG and HGB.

mCHG = 48.81°, and m HGA = 131.19°.

mDHG = 131.19°, and m HGB = 48.81°.

mCHG + mHGA = 180°

mDHG + mHGB = 180°

Each pair of same-side interior angles is supplementary.

Step-by-step explanation:

Answer:

The two pairs of same-side interior angles are CHG and HGA and DHG and HGB.

mCHG = 48.81°, and m HGA = 131.19°.

mDHG = 131.19°, and m HGB = 48.81°.

mCHG + mHGA = 180°

mDHG + mHGB = 180°

Each pair of same-side interior angles is supplementary

Step-by-step explanation:

The optimal solution to this linear programming problem will give us the ideal weight for each compound that satisfies all the constraints and minimizes the total cost of the compounds used.

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane.

To build a linear programming model for this problem, we need to define decision variables, objective function, and constraints.

Let:

x1 be the weight of the first compound in grams

x2 be the weight of the second compound in grams

Objective function:

The objective is to minimize the total cost of the compounds used, which can be expressed as:

minimize 3x1 + 8x2

Constraints:

The total weight of the product should be 200 grams. This can be expressed as:

x1 + x2 = 200

The first compound should not exceed 80 grams. This can be expressed as:

x1 ≤ 80

The second compound should not be less than 60 grams. This can be expressed as:

x2 ≥ 60

The weights of both compounds should be non-negative. This can be expressed as:

x1 ≥ 0, x2 ≥ 0

Therefore, the complete linear programming model can be formulated as follows:

minimize 3x1 + 8x2

subject to:

x1 + x2 = 200

x1 ≤ 80

x2 ≥ 60

x1 ≥ 0

x2 ≥ 0

The optimal solution to this linear programming problem will give us the ideal weight for each compound that satisfies all the constraints and minimizes the total cost of the compounds used.

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Answer:

0.2

Step-by-step explanation:

0.201149425287356

0.20114942529

0.20115

0.2

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given that the equation is 25ˣ = 5ˣ²⁻³.

To solve the equation, take logs on both sides, we get,

x log(25) = (x²- 3)log5

2x log 5 = (x²- 3) log5

2x = x²-3

x²- 2x -3 = 0

Now, factorize the quadratic equation,

we get,

x² - 3x + x - 3 = 0

x(x- 3) + 1(x - 3) = 0

x = 3 or -1.

Therefore, x = 3 or x = -1.

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The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.

The probability of two independent events occurring, we multiply their individual probabilities.

Let's start by determining the probability of the coin showing tails.

Since it is a fair coin, there are two equally likely outcomes: heads or tails.

The probability of the coin showing tails is 1/2.

Next, we consider the number cube.

It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.

Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).

The probability of rolling a three, four, or six is 3/6 or 1/2.

Now, we can find the probability of both events occurring by multiplying the probabilities together:

P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)

= 1/2 × 1/2

= 1/4

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Answer:FGJ is 71º

Step-by-step explanation:

Since 1 (HGJ(35º) and 2 (FGH(36º) added together is 71º and both 1 and 2 are in FGJ that means FGJ is 71º

Hope this helped!If you are reading this hope you have a wonderful day and may  your dreams come true!

Tell me if it’s wrong :(

Good luck

Answer:

.56

Step-by-step explanation:

Use a calculator.

Answer:

x=30° y=110°

Step-by-step explanation:

80+70=150

180-150=30° 》》》》 angles in a triangle add up to 180°

x=30° opposite angles are equal

180-140=40° angles on a straight line add up to 180°

30+ 40=70

180-70=110°

y=110°

Answer:

0.01

Step-by-step explanation:

0.01×100=1

hope this helps

Answer:

0.01

Step-by-step explanation:

0.01 is the same as 1/100, and 1% is also the same as 1/100

Part 1: The four positions in the executive committee can be filled in 3024 ways. Part 2: If it does not matter who gets which position, there are several ways to choose four people for the executive committee.

Part 1:

To determine the number of ways to fill the four positions in the executive committee, we need to consider that each position can be filled by a different member from the nine-member Student Council. We can use the concept of permutations to calculate this.

The first position can be filled by any of the nine members. Once the first position is filled, there are eight remaining members to choose from for the second position. Similarly, there are seven members left for the third position and six members for the fourth position.

Therefore, the total number of ways to fill the four positions is calculated as:

9 * 8 * 7 * 6 = 3024 ways.

Part 2:

If it does not matter who gets which position, we are essentially choosing a group of four members from the nine-member Student Council. In this case, we can use the concept of combinations.

The number of ways to choose four people from a group of nine can be calculated using the combination formula:

C(9, 4) = 9! / (4! * (9-4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126 ways.

Therefore, if it does not matter who gets which position, there are 126 ways to choose four people for the executive committee.

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Answer:

Step-by-step explanation:

1.1     Solve   d-2r  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  d-2r  = 0 and calculate its properties

To determine the kind of triangle from the given vertices (−4,3),(2,−5) and (6,5), we need to find the length of each side of the triangle.

Let us call the vertices A, B, and C, respectively. Then, we can use the distance formula to determine the length of each side of the triangle:

AB = √[(2 - (-4))^2 + (-5 - 3)^2]

= √[(2 + 4)^2 + (-8)^2]

= √[6^2 + 64]

= √100

= 10AC

= √[(6 - (-4))^2 + (5 - 3)^2]

= √[(6 + 4)^2 + 2^2]

= √[10^2 + 4]

= √104BD

= √[(6 - 2)^2 + (5 - (-5))^2]

= √[4^2 + 10^2]

= √116

The length of each side of the triangle are as follows:

AB = 10AC ≈ 10.198BD ≈ 10.770

By comparing the lengths of each side of the triangle, we find that all three sides are of different lengths. Therefore, it is a scalene triangle.

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\( \dfrac{10}{120} = \dfrac{5.2}{x} \\ \\ x = \dfrac{5.2 \times 120}{10} \\ \\ x = 5.2 \times 12 = \red{\fbox{\pink{62.4}}}\)

Height of tree = 62ft and 4inch

Answer:

-3/2

Step-by-step explanation:

Rise= 3

Run= -2

Rise/run= 3/-2

Move negative to front

-3/2

Answer:

no solutions

Step-by-step explanation:

y + 7 = y - 3 ( subtract 7 from both sides )

y = y - 10 ( subtract y from both sides )

0 = - 10 ← false statement

this false statement indicates the equation has no solution

Answer: It would cost $92.65 if he used the voucher on Monday

125 - 92.65 = 32.35   It would cost $32.35 less if he used the voucher on Monday than if he didn't use the voucher on Saturday

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

The reason is because none of them add up to at least 91°

62° would be your best bet but, even when you do the math 62*2= 124

124/6= 20 2/3°

62+20.66...= 82.666...

82.6666...<91°

Answer: 12.5

Step-by-step explanation: