Adam charges 20$ to mow his neighbor's lawn every 2 weeks for the 18 weeks of grass growing season. he wants to but a new

Answer

Using speed formula:

[tex]\text{Speed} = \frac{\text{Distance}}{\text{Time}}[/tex]

Let y represents the distance in miles and x represents the time in hours.

As per the given statement:

Andrew drove 55 mph on his trip.

Using formula;

we have;

[tex]55 = \frac{y}{x}[/tex]

Multiply both sides by x we have;

[tex]y = 55x[/tex]

Therefore, the equation best represents the distance he drove is [tex]y = 55x[/tex]

Final answer:

To simplify (3x+8)(x+1), we can use the FOIL method, the Distributive Property, or a multiplication table, all leading to the same simplified expression: 3x² + 11x + 8. The FOIL method is typically the most efficient for binomials.

Explanation:

The question asks to simplify the expression (3x+8)(x+1) using a table, the Distributive Property, and the FOIL method and to determine which method is most efficient.

Using the FOIL Method

FOIL stands for First, Outer, Inner, Last and represents a quick way to multiply two binomials:

First: Multiply the first terms in each binomial (3x×x = 3x²).

Outer: Multiply the outer terms (3x×1 = 3x).

Inner: Multiply the inner terms (8×x = 8x).

Last: Multiply the last terms in each binomial (8×1 = 8).

Adding these products together, we get 3x² + 3x + 8x + 8, which simplifies to 3x² + 11x + 8.

Using the Distributive Property

This involves expanding the expression by multiplying each term in the first polynomial by each term in the second: (3x+8)(x) + (3x+8)(1), which also simplifies to 3x² + 11x + 8.

Using a Table

Create a table where you list each term of the first polynomial in the first row and the terms of the second polynomial in the first column, and then fill in the table with the products of the intersecting terms. The sum of these products will also yield 3x² + 11x + 8.

While all three methods will give the correct answer, the FOIL method is generally seen as the most efficient for this particular problem, as it provides a straightforward, step-by-step process that is easy to follow and remember for multiplying two binomials.

Answer:

0.60

Step-by-step explanation:

Answer:

Its B.

Have a great day! OwO

Answer:

The Answer will Be B and D

Step-by-step explanation:

We have been given that 15 people can comfortably stand in a section that is 5ft by 8ft .

Hence, the area of this section is given by

[tex]A=5\times 8\\ A=40 ft^2[/tex]

Hence, we can say that 15 people can comfortably stand in an area 40 square feet.

Now, we know that 1 yard is equal to 3 feet.

Hence, the area of the section 400yds by 200 yds is equal to

[tex]400\times 3 \times 200 \times 3\\ =720000 ft^2[/tex]

Now, in 40ft^2, 15 people can stand comfortably.

Hence, in 720000 ft^2, number of people can stand comfortably is

[tex]\frac{15}{40} \times 720000\\ \\ =270000[/tex]

Therefore, 270000 people can stand in the park of dimension 400 yds by 200 yds

There are 5 different triangles formed by drawing all of the diagonals from a vertex of a hexagon.

To find the number of triangles formed by drawing all of the diagonals from a vertex of a hexagon, we need to determine the number of different combinations of vertices that can form triangles.

For a hexagon, there are 4 vertices that can be chosen as one of the vertices of the triangle. The other 2 vertices can be chosen from the remaining 5 vertices. The order in which the vertices are chosen doesn't matter, so we need to divide by 2 to avoid overcounting.

Using the combination formula, we get:

C(5, 2) / 2 = 10 / 2 = 5

Therefore, there are 5 different triangles formed by drawing all of the diagonals from a vertex of a hexagon.

Answer:

[tex]R=6n-90[/tex]

Step-by-step explanation:

Let

R------> the revenue function

n------> the number of books sold per day

we know that

In this problem

[tex]18n[/tex] -----> represent the profit

[tex](12n+90)[/tex] -----> represent the cost

so

The revenue is equal to the profit minus the cost

[tex]R=18n-(12n+90)[/tex]

[tex]R=n(18-12)-90[/tex] ------> equation that represent the revenue function

Simplify

[tex]R=6n-90[/tex]

To create 9 gallons of a 30% alcohol solution, mix 6 gallons of the 20% alcohol solution with 3 gallons of the 50% alcohol solution by setting up and solving a system of equations based on volumes and concentrations.

To find out how many gallons of 20% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of a 30% alcohol solution, we can set up a system of equations based on the volumes and concentrations of the solutions. Let's let x represent the volume of the 20% solution and y represent the volume of the 50% solution.

Since the total volume of the mixture should be 9 gallons, we have our first equation:

Next, we consider the concentration of alcohol in the final mixture. The amount of pure alcohol from the 20% solution is 0.20x gallons, and from the 50% solution, it is 0.50y gallons. The final mixture has a concentration of 30%, so the total amount of alcohol in the 9 gallons mixture is 0.30 * 9 gallons. This gives us our second equation:

Now we have a system of two equations with two variables that can be solved using methods such as substitution or elimination. After solving, we find that x = 6 gallons and y = 3 gallons. Therefore, to obtain 9 gallons of a 30% alcohol solution, you'd need to mix 6 gallons of the 20% alcohol solution with 3 gallons of the 50% alcohol solution.

Answer:B on edge

Step-by-step explanation:

the answer would be 90% because when you multiply 30% x 30% =90% its the same as 3 x 3 = 9

Answer:

D. No, Dynatashia paid too much for buns.

Step-by-step explanation:

We are given that,

The actual cost of the items are,

Items                                          Cost

Hamburger                         $3.99 per pound

Buns                                    $1.29 per packet

2-liter soda                          $2 per 3 bottle

As, she bought 1.5 pounds of hamburgers, 1 packet of buns and 3 bottles of 2-liter soda.

So, she has to pay,

For hamburger = 1.5 × 3.99 = $5.99

For buns = 1.29 × 1 = $1.29

For soda bottles = $2

But from the receipt, we see that she pays,

For hamburger = 1.5 × 3.99 = $5.99

For buns = 1.69 × 1 = $1.69

For soda bottles = 1.34 + 0.67 = $2

That is, she has to pay $1.29 for the packet of the buns but she paid $1.69 for the buns.

Hence, the receipt is not correct as Dynatashia paid too much for the buns.

Answer: D

Step-by-step explanation:

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Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

It is given that Lupe has 14 stickers that she wants to give to 2 friends.

Total number of stickers Lupe has is 14.

The number of friends is 2.

She wants each friend to have the same number of stickers. It means each friend will get half of 14.

The number stickers Lupe should give to her friends is 14 divided by 2.

[tex]\text{Number of stickers}=14\div 2[/tex]

Write this value in fraction form.

[tex]\text{Number of stickers}=\frac{14}{2}[/tex]

[tex]\text{Number of stickers}=7[/tex]

It means the correct statements are

1. Each friend gets 14÷2 stickers.

3. Each friend gets (14)/2 stickers.

4. Each friend gets 7 of the 14 stickers.

Hence correct options are 1, 3 and 4.