you have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop the painting is 65in high by 105in wide. you are asked to use a 1in=5in scale. what will the dimensions of your poster be? show your work

Final answer:

To solve for S² in the equation V = 1/3 HS², multiply both sides by 3 and then divide by H, resulting in S² = 3V / H.

Explanation:

To rewrite the equation V = 1/3 HS² so that S² is by itself on one side of the equation, we need to use opposite operations.

We start by multiplying both sides of the equation by 3 to eliminate the fraction on the right side:

3V = HS²

Next, we divide both sides by H to solve for S²:

S² = 3V / H

Now, S² is by itself on one side of the equation, which is the desired outcome.

By solving the equation 4/5 * x = 856, we find that the total number of students at the school is 1070. Calculating the remaining one fifth, we determine that 214 students did not buy a yearbook.

The student's question asks us to find out how many students did not buy a yearbook if four fifths of the students at school did buy one. To solve for this, we need to first determine the total number of students and then calculate the remaining one fifth who did not purchase the yearbook.

Let x represent the total number of students at the school. Since 856 copies of the yearbook were sold and this represents four fifths, we can set up the equation:

4/5 * x = 856

To find x, we divide both sides of the equation by 4/5, which is equivalent to multiplying by the reciprocal (5/4):

x = 856 * 5/4

x = 1070

Thus, the total number of students at the school is 1070. To find out how many did not buy the yearbook, we take the remaining one fifth:

1/5 * 1070 = 214

Answer:

matt

Step-by-step explanation:

Matt has 75 hundredths of a dollar ($0.75) while Kendra has 7 tenths of a dollar ($0.70). Matt has more money as $0.75 is greater than $0.70.

In this scenario:

Matt has 75 hundredths of a dollar, which is equal to $0.75.

Kendra has 7 tenths of a dollar, which is equal to $0.70.

To determine who has more money, compare $0.75 and $0.70. Clearly, Matt has more money since $0.75 is greater than $0.70.

Juan's average speed was found to be 12.5 mph, calculated by dividing the distance of 2.5 miles by the time of 0.2 hours.

Juan lives 2.5 miles from the park, and it took him 12 minutes to ride his bicycle there. To find Juan's average speed in miles per hour, we need to follow a few steps. First, we convert the time taken into hours because speed is often expressed in miles per hour (mph).

12 minutes is equal to 12 / 60 hours, which is 0.2 hours. Then, we use the formula for average speed:

Average speed = Total distance / Total time

So for Juan's trip, we get:

Average speed = 2.5 miles / 0.2 hours = 12.5 mph.

Therefore, Juan's average speed was 12.5 mph.

The time it will take the waitstaff to clear and set all the 26 tables in the dining room is;

1 hour 5 minutes

Thus, rate of clearing and setting 1 table = 10/4

rate of clearing and setting 1 table = 2.5 minutes per table

By use of proportions, we can find it as;

Time it takes to clear and set 26 tables = 2.5 × 26

Time it takes to clear and set 26 tables = 65 minutes

We know that 60 minutes make 1 hour, thus converting the time to hour and minute gives us;

1 hour 5 minutes

Read more at; https://brainly.com/question/7389834

Answer:

It is (4,0).

Step-by-step explanation:

If you plug in 4 for x and 0 for y, then both of the inequalities will be true.

He receives 3 dollars per week as allowances and an additional 1.75 dollars for each chore done by him.

His total earnings in one week would be sum of his allowances and chores that he complete in one week.

Here 't' represents total earnings and 'c' represents number of chores that he completed in one week.

Total Earnings = Allowances + (compensation of one chore)*(Number of chores)

Mathematically, it can be written as :-

t = 3 + 1.75c

Hence, (t = 1.75c + 3) is the required equation.

Answer:t = 3 + 1.75c

The answer below is correct I got a 100 because of it tysm to be clear the correct answer is B:192,063 cm^3!

Option: c is the correct answer.

        c.  φ, ε and δ

From the graph given to us we see that the graph passes through the same initial point that is the starting point is same i.e. when t=0.

Also, they attain the maximum value at t=0.

α: [tex]10(1.2)^t[/tex]

Now when t=0 we have:

 Value=10

β :   [tex]10(1.5)^t[/tex]

Now when t=0 we have:

 Value=10

χ:  [tex]20(1.2)^t[/tex]

Now when t=0 we have:

 Value=10

δ: [tex]30(0.85)^t[/tex]

Now when t=0 we have:

Value=30

ε: [tex]30(0.95)^t[/tex]

Now when t=0 we have:

Value=30

φ: [tex]30(1.05)^t[/tex]

Now when t=0 we have:

              Value=30

Hence, we see that δ , ε and φ are the three functions such that they have the same initial value.

The equation that represents the word sentence 'Five more than three times x is twenty' is 3x + 5 = 20. To solve this equation, subtract 5 from both sides and divide both sides by 3 to find the value of x.

The equation that represents the word sentence 'Five more than three times x is twenty' is 3x + 5 = 20.

In this equation, '3x' represents three times x, and '5' represents five more than that. The equation states that the sum of three times x and five is equal to twenty.

To solve this equation, you can subtract 5 from both sides to isolate '3x', and then divide both sides by 3 to find the value of x.

The answer should be High

Or B.        Have a great day

Answer:

B. High

Step-by-step explanation:

High season is when the weather is best in a locale and when many people have time off for vacation.

It is also called peak season.

In terms of business, we can define the peak season or high season as a season when trading is high and many tourists visit a tourist place. Every business has peak seasons like flowers or certain sea food items.

Final answer:

An incorrect statement about the measure of ∠D would be that it is supplementary to or equal in measure to ∠B, as that conflicts with the properties of a parallelogram where opposite angles are equal and adjacent angles are supplementary.

Explanation:

Given that segment AD is parallel to segment BC, and segment AB is parallel to segment CD, we are dealing with a situation where AD and BC form one pair of parallel lines, and AB and CD form another. This would typically describe a parallelogram, where opposite sides are equal in length and opposite angles are equal in measure.

One statement about the measure of ∠D that is NOT true might suggest that ∠D equals the angles adjacent to it, which would conflict with the properties of a parallelogram. Instead, the measure of ∠D should equal the measure of ∠B, and the angles adjacent to ∠D (∠A and ∠C) should be supplementary to ∠D as they form a linear pair with ∠B and ∠D, respectively.

Therefore, without knowing the exact degrees, the incorrect statement could be that ∠D is supplementary to ∠B (adds up to 180 degrees) or that it is equal in measure to adjacent angles ∠A or ∠C, both of which are false in the context of parallelogram properties.

The measure of ∠D is equal to ∠A.

The statement that is not true about the measure of ∠D is that line B is a decreasing line while line A is an increasing line, with line B being much steeper than line A.

The given information tells us that segment AD is parallel to segment BC, and segment AB is parallel to segment CD. These parallel lines create a series of congruent angles.

Since AD is parallel to BC, the corresponding angles ∠A and ∠D are congruent. Similarly, since AB is parallel to CD, the corresponding angles ∠B and ∠C are congruent as well. Therefore, the measure of ∠D is equal to ∠A.