A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per hour worked

The length of side AD is 48 units.

To find the length of side AD in terms of z, we can use the information given about the perimeter of the rectangle.

The perimeter (P) of a rectangle is given by the formula:

P=2×(Length+Width)

In this case, the length of the rectangle is AD (which is 4z) and the width is AB (which 5z+2).

So, the perimeter (P) is given by:

P=2×(4z+5z+2)

Given that the perimeter is 220 units, we can set up the equation:

220=2×(4z+5z+2)

Now, solve for z:

220=2×(9z+2)

Divide both sides by 2:

110=9z+2

Subtract 2 from both sides:

108=9z

Divide by 9:

z=12

Now that we have the value of z, we can find the length of side AD:

Length AD=4z

Length AD=4×12

Length AD=48

So, the length of side AD is 48 units.

Answer:

they are both irrational

Step-by-step explanation:

if you add them, then they turn out to be decimals that go on and have no pattern

Answer:

Both will be irrational

Answer:

3(15)

Step-by-step explanation:

We found that the width is 11 yards and the length is 14 yards.

We are given that the length of a rectangle is 3 yards longer than its width and that the perimeter of the rectangle is 50 yards. To find the length and width, we can set up a system of equations based on the information provided.

Let the width of the rectangle be w yards. Then the length would be w + 3 yards. Because the perimeter of a rectangle is the sum of all its sides, we can express the perimeter P as:

P = 2 * ( L + B)

Substituting the given values:

50 = 2(w + 3) + 2w

Now, let's solve the equation:

50 = 2w + 6 + 2w

50 = 4w + 6

44 = 4w

11 = w

Thus, the width is 11 yards. The length is 14 yards (because it is 3 yards longer than the width).

Answer:The measure of the flour is greater than the measure of the sugar

Step-by-step explanation:

Answer: 5, 7, 9

Step-by-step explanation:

1st#: 2k+1

2nd#: 2k+3

3rd#: 2k+5

2(2k+1 + 2k+3 + 2k+5) = 3(2k+5) + 15

2(6k + 9) = 6k + 15 + 15

12k + 18 = 6k + 30

6k           =        12

 k           =         2

1st#: 2k+1  = 2(2) + 1 = 5

2nd#: 2k+3 = 2(2) + 3 = 7

3rd#: 2k+5 = 2(2) + 5 = 9

Answer:

Los catetos miden 3 cm y 4 cm.

Step-by-step explanation:

5 cm/10 cm = 1/2

6 cm * 1/2 = 3 cm

8 cm * 1/2 = 4 cm

3. ΔPQR ≅ ΔSRT

3. ASA  (Angle - Side - Angle) - we have two triangles where we know two angles and the included side are equal

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

4. PR ≅ SR

4. ΔPQR ≅ ΔSRT - the corresponding sides are congruent.

Answer:

15

Step-by-step explanation:

The square root of 5 times 3 square root of 5 is 5√3

[tex] \sqrt{5 \times 3} \sqrt{5} [/tex]

[tex] = \sqrt{15} \times \sqrt{5} [/tex]

[tex] = \sqrt{75} [/tex]

[tex] = \sqrt{25 \times 3} [/tex]

[tex] = 5 \sqrt{3} [/tex]

The simplification of the square root of 5 times 3 square root of 5 is 5√3

Read more on square root:

https://brainly.com/question/428672

#SPJ2

Answer:

n= 40

Step-by-step explanation:

(60-5)divided by 1 3/8 =n

Answer:

Number of albums in the crate are 40.

Step-by-step explanation:

Lets start the sum to form the equation as per language given.

As given number of albums = n

Therefore n albums will weigh = n×( 11/8) Pounds

Weight of the crate given = 5 pounds

So total weight of the crate including albums = weight of the     crate + weight of albums.

                  So the equation will be           60 = 5 + n×11/8

                                                                 8×60 = 8×(5+11n/8)

                                                                   480 = 40 + 11n

                                                                 11n = 480 - 40

                                                                 11n = 440

                                                                  n = 440÷11

                                                                  n = 40

so number of albums in the crate will be 40.

Answer:

Step-by-step explanation:

3 1/2-1 2/3-1/4

Answer:

70%

Step-by-step explanation:

To solve the equation you would do 35/50= ?/100

So step one would to be to multiply 35 by one hundred.

Then you divide by 50

then you should get 70.

so 70% is the answer

To calculate the percent change for a coat reduced from $50 to $35, you subtract the sale price from the original price, divide by the original price, and multiply by 100, resulting in a 30% decrease.

You first determine the amount of change in price, which is the original price subtracted from the sale price. In this case, the price decreased by $15 ($50 - $35). To find the percent change, divide the amount of change by the original price and then multiply by 100 to convert it to a percentage.

Percent Change = ($15 / $50) × 100

= 0.3 × 100

= 30%

Therefore, the coat was put on sale with a 30% decrease in price.

Answer:

Step-by-step explanation:

did this on my hw got a 100

The area of the circle has a circumference of 11pie is 94.98 ft sq.

The area of the circle is the region enclosed by a circle of radius r.

The area of the circle = [tex]\pi r^{2}[/tex]

It is given that

The circumference of a circle = [tex]2\pi r[/tex] = 11π

         [tex]2\pi r[/tex] =  11π

           r = 11/2

The area of the circle = [tex]\pi r^{2}[/tex]

                                    = [tex]\pi \times (11/2)^{2}[/tex]

                                    = [tex]3.14 \times 121/4\\[/tex]

                                    = 94.98 ft sq

Thus, The area of the circle has a circumference of 11pie is 94.98 ft sq.

Learn more about the area;

https://brainly.com/question/11952845

Final answer:

To find the percent increase for the second demand increase when the original price is sextupled and the first increase was 50%, we calculate the ratio of the final price to the price after the first increase. The second price increase was determined to be 300% based on this calculation.

Explanation:

The question asks us to determine the percent increase of the second price change when the price of an item becomes six times its original price, with the first price increase being 50%. To solve this, let's assume the original price is $1 for ease of calculation. After a 50% increase, the new price would be $1.50. Now, we know that after the second increase the new price is 6 times the original, which means the price is now $6.00.

To calculate the percent increase of the second price change, we divide the final price by the price after the first increase: $6.00 / $1.50 equals 4. This means the price was quadrupled. To find the percentage increase, we subtract the initial value (1, since it was multiplied by 4) and then multiply by 100. Therefore, the percent increase for the second time is (4 - 1) × 100% which equals 300%. The second price increase was 300%.

The height of the new rectangle is 7.5cm

We shall use the proportion of the lengths of the original and enlarged rectangles to find the height of the new rectangle

Let the height of the new rectangle = h.

The proportion of the lengths of the original and enlarged rectangles = original length / enlarged length = original height / enlarged height

Plugging in the values, we have:

12/18 = 5/h

12 * h  = 18 * 5

We solve for h:

12h = 90

h = 90/12

h = 7.5cm

Thus, the new rectangle's height is 7.5cm.

Answer:

They are the same

Step-by-step explanation:

Notice how both 2's, 4's, 6's, and 8's are aligned. The arrows mean this could go on forever, meaning each tic mark would be proportionate. All numbers are even, as well. If you were to find slope, or create an equation, it would be proportionte.

Hope this helps!

Answer:

Q 9:

Because the two polygons are similar so AB ≈ PQ = SR

Scale factor is 25/20 = 1.25

Perimeter of ABCD = 14+20+14+20 = 68

We can find the length of SP by multiplying the scale factor with the AD so

SP = 14 * 1.24= 17.5

Perimeter of PQRS = 17.5+25+17.5+25 = 85

-----------------------------------------------------------------------------------

Q 10:

Because the two polygons are similar so AD ≈. EH

Scale factor is 7/14 = 0.5

Perimeter of ABCD = 12+14+13+26 = 65

Because the two polygons are similar so DC ≈ HG

and our scale factor is 0.5 so HG = 13/2 = 6.5

Perimeter of EFHG = 6 + 7 + 6.5 + 13 =  32.5

----------------------------------------------------------------------------------

Q 11:

The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root (for two numbers). And the formula for finding the Geometric mean of two numbers a and b is

[tex]\sqrt{a*b}[/tex]

So geometric mean of the 8 and 10 can be found as

[tex]\sqrt{8*2} = \sqrt{16} = 4[/tex]

-----------------------------------------------------------------------------------

Q 12:

Similarly we can using the above formula of finding the geometric mean of 5 and 45 as

[tex]\sqrt{5*45} = \sqrt{225} = 15[/tex]

-------------------------------------------------------------------------------

Q 13:

and we can find the geometric mean of 6 and 30 by using the same formula

[tex]\sqrt{6*30} = \sqrt{180} = 13.41[/tex]

Answer:

27 units^3

Step-by-step explanation:

A cube's volume is denoted

[tex]x^{3}[/tex]

where x is a side. 3 is the side so it is

[tex]3^{3}[/tex]

which is 27.

Answer:

A. 10.5h

Step-by-step explanation:

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

The subtraction of the given polynomials (2x² - 6x + 7) - (5x² + 2x - 8) results in the polynomial -3x² - 8x + 15.

To subtract the given polynomials, we rewrite the subtraction as an addition of the opposite. The original expression is (2x² - 6x + 7) - (5x² + 2x - 8). Changing subtraction to addition, we have (2x² - 6x + 7) + (-5x² - 2x + 8).

We combine like terms:

The result of the subtraction is therefore -3x² - 8x + 15.

Answer:

1 12/13

Step-by-step explanation:

3 1/8 ÷ 1 5/8

We need to change the fractions to mixed numbers

3 1/8 = (8*3+1) /8 = 25/8

1 5/8 = (8*1+5)/8 =13/8

25/8 ÷ 13/8

We can use copy dot flip

25/8 * 8*/13

25/13

Now we change it back to a mixed number

13 goes into 25 1 time with 12 left over

1 12/13

First you must simplify the  equation. 7t+(-3t) is equal to 4t. Then we subract 3y from 4t. This brings us to 4t-3y. We also can simplify the first equation. We can move 4t to 8t and we then get 8t-4t-3y which is equal to 4t-3y. We know that 4t-3y=4t-3y.

Hopw this helps. <3

The solution is A = 4t - 3y

The value of the equation A is A = 4t - 3y

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 8t - 3y - 4t   be equation (1)

Let the equation B = 7t + ( -3t ) - 3y   be equation (2)

Now , on simplifying the equation (1) , we get

A = 8t - 4t - 3y

A = 4t - 3y

So , the value of A is 4t - 3y

Now , on simplifying the equation (2) , we get

B = 7t + ( -3t ) - 3y

B = 7t - 3t - 3y

The value of B = 4t - 3y

Therefore , the value of A is equal to value of B

Hence , the equation A is equivalent to equation B

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

2.5

Step-by-step explanation:

just got it right

[tex]u(x)=-2x^2+3\\\\v(x)=\dfrac{1}{x}\\\\(u\ \circ\ v)(x)=-2\left(\dfrac{1}{x}\right)^2+3=-2\left(\dfrac{1}{x^2}\right)+3=-\dfrac{1}{x^2}+3\\\\\text{The range of}\ y=\dfrac{1}{x^2}\ \text{is all positive real numbers.}\\\\\text{The range of}\ y=-\dfrac{1}{x^2}\ \text{is all negative real numbers.}\\\\\text{The range of }\ (u\ \circ\ v)(x)=-\dfrac{1}{x^2}+3\ is\ (-\infty,\ 3)[/tex]

Answer:

(-∞,3)

Step-by-step explanation:

Imagine functions as little machines that turn one number into another number, the set of numbers that can enter the machine are called domain and the set of  numbers that can exit the machine are called range.  In this excercise we have to do function composition, which would be like having two machines and take the numbers that exit machine number 2 ([tex]v(x)[/tex]) and enter them into the machine number 1 ([tex]u(x)[/tex]). In math this is done by replacing the [tex]x[/tex] in [tex]u(x)[/tex] with the function [tex]v(x)[/tex] like this:

[tex]u(x)=-2x^{2} +3\\v(x)=\frac{1}{x}\\(u°v)=-2(\frac{2}{x})^{2} +3[/tex]

Now we need the range of the composed function, this will be the numbers that can come out of the machine number 1 when the numbers from the machine number 2 are entered to it.

So first which numbers will come out of machine number 2([tex]v(x)[/tex])? All but 0 because  we there is no number that we can divide 1 by it that will give us the value 0 (not even zero itself because it is and indeterminate form).

We have now which numbers will enter machine number 1 (we dont have any restrictions in [tex]u(x)[/tex] to enter numbers)

The range of the composed function will be then the range of [tex]u(x)[/tex] less the value that we woud obtain by replacing [tex]x[/tex] with 0.

The range of [tex]u(x)[/tex] is (-∞,3] according to the  attached graph and the value that we woud obtain by replacing [tex]x[/tex] with 0 is 3 so we would have (-∞,3).

Answer:

Because we have a point and slope, we can use at the beginning the point-slope form: y-y1=m(x-x1)

Step-by-step explanation:

m=3 , x1=1 , y=-3

y-(-3)=3(x-1)

y+3=3x-3      subtract 3 from both sides

y=3x-6    the answer in the slope-intercept form y=mx+b

Answer:

He spent 34 dollars on each book

Step-by-step explanation:

first you subtract 16 from 322 and it would be 306 and then you divide 306 by 9 and that would be the total of each book!! <3

Answer:

The answer is $35

Step-by-step explanation:

First you divide 322 my 9 so you can get 35, that was the price of each book.

hope it helps:)

Answer:

Store D has the best deal

Step-by-step explanation:

We will divide cost per minutes

Store A: $25 for a 45 minute lesson

$25/45 minutes

$.5555555  per minute

Store B: $30 for a 1 hour lesson

1 hour = 60 minutes

$30/60  

$.5 per minute

Store C: $45 for a 1.5 hour lesson

1.5 hours* 60 minutes/ hour = 90 minutes

$45/ 90

$.5 per minute  

Store D: $80 for three 1 hour lessons

3 * 1 hour = 3 hours

3 hours * 60 minutes/ 1 hour = 180 minutes

$80/ 180 =

$.4444 per minute

After calculating the cost per minute for swim lessons at each store, Store D is revealed to have the best deal at approximately $0.44 per minute.

We need to calculate the cost per minute for each option Julie has. Here's the breakdown:

Store A: $25 for a 45-minute lesson = $25 / 45 minutes = approximately $0.56 per minute

Store B: $30 for a 1-hour lesson = $30 / 60 minutes = $0.50 per minute

Store C: $45 for a 1.5-hour lesson = $45 / 90 minutes = $0.50 per minute

Store D: $80 for three 1-hour lessons = $80 / 180 minutes = approximately $0.44 per minute

Comparing these rates, we see that Store D offers the lowest cost per minute for swim lessons. Therefore, the best deal would be with Store D.

Answer:

The price for both senior and child tickets are $9 each

Step-by-step explanation:

Since your just trying to find the price for senior citizen and child  tickets, we'll use the equation for the first day:

4x + x = $45

5x = $45

x = 9

now plug it for 4x and x

4(9) = $36  <<divide $36 by 4 == $9

$9 for each child ticket

Answer:

Step-by-step explanation:

Pounds to Ounces: 1 ounce = 0.625 pounds

12.8 ounces = 0.8 pounds

15/0.8 = 18.75 dollars

18.75 dollars

Option C is the answer.

Explanation:

Amount paid per hour = $ 15.60

Total working hours in a week = 15

Hence, total earnings in a week are = 15.60 x 15 = $234

Deductions are =

7.65 % of 234 = [tex]\frac{7.65}{100}*234= 17.90[/tex]

11.15 % of 234 =  $26.09

6.5% of 234 =  $15.21

So totaling all deductions we get $59.20

Hence, earnings per week after deductions become = 234-59.20 = $174.80

As each week, 10% is saved, so amount saved each week is = 174.80 x 0.10 = $ 17.48

So, savings per month (4 weeks in a month) becomes = 17.48 x 4 = $69.92

Hence, option c) $69.92 is the answer.