a special window in the shape of a rectangle with semicircles at each end is to be constructed so that the outside perimeter is 100 feet. find the dimensions of the rectangle tha tmaximizes the total area of the window

Answer:

5: 4

6: 20

7: $3.20

8: 92

9: 22

10: $11.60

Step-by-step explanation:

6. remove 3 from 83, you will have 80 and then divide by 4 = 20 students in a class.

7. Subtract 8.80 from 24.80, you will get 16 dollars. Do 16 ÷ 5 = 3.2 as the cost of each pencil.

9. 94- 6 = 88 so, 88 ÷ 4 = 22.

10. 13.40 -7.60 = 5.8 as his weekly allowance.

I hope it helps.

Answer:

8. 14

9. 720

Step-by-step explanation:

Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).

8. Find the greatest number that can divide 392 and 462 exactly.

Find the GCD of 392 and 462:

  1. Find the prime factorization of 392

2^3 × 7^2 (2 × 2 × 2 × 7 × 7)

  2. Find the prime factorization of 462

2 × 3 × 7 × 11

  3. To find the GCD, multiply all prime factors common to all numbers  

GCF = 2 × 7, therefore GCD = 14.

9. What is the smallest number that is divisible by 20, 48, and 72?

Find the LCM of 20, 48, and 72:

  1. Find the prime factorization of 20

2^5 (2 × 2 × 5)

  2. Find the prime factorization of 48

2^4 x 3 (2 × 2 × 2 × 2 × 3)

  3. Find the prime factorization of 72

2^3 x 3^2 (2 × 2 × 2 × 3 × 3)

  4. To find the LCM, multiply all prime factors

LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720

Calculator Input:

The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.

For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).

Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.

Answer:

Here is a generic way to set up this type of algebra problem.

d = total amount of dirt at the site (tons)

r = rate or removal (tons/hr)

t = time it takes to remove all of the dirt (hr)

d = rt

The total amount of dirt equals the removal rate times hours spent removing all the dirt.

Since you want to solve for t, divide both sides by r

t = d/r

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

Answer:

10^2=100

because all u would do is put down 10 two times and then u just multiply those 2 numbers

Step-by-step explanation:

Answer:

[tex]x^3-2x^2-8x[/tex]

Step-by-step explanation:

[tex]x(x+2)(x-4)[/tex]

[tex]x(x^2-2x-8)[/tex]

[tex]x^3-2x^2-8x[/tex]

Answer:

50%

Step-by-step explanation:

Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.

Answer:

1.9375

Step-by-step explanation:

used a clacalator

Answer:

31/16 or 1.9375 or 1 and 15/16

Step-by-step explanation:

Step-by-step explanation:

that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?

it is zero, if just one of the 3 factors is 0.

and that would happen for

x = 0

x = -6

x = 1

so, A, D and E are correct.

Answer:

16

Step-by-step explanation:

x+y=30  solve for x   x=30-y

substitute x with 30-y and solve

11.25x+22.4y=515.9

11.25(30-y)+22.4y=515.9

337.5+11.15y=515.9

11.15y=178.4

y=16

since we're solving for just large candles it's 16

if need small cangle number 30-16=14

Answer:

3.90

Step-by-step explanation:

4.25

+1.85=6.10

10-6.10=3.9

======================================================

Work Shown:

4.25+1.85 = 6.10

It costs $6.10 to get the sandwich and drink.

If the customer pays with a $10 bill, then they get 10.00 - 6.10 = 3.90 dollars in change.

One way to represent $3.90 is to have:

The coins add up in value to 75+10+5 = 90 cents.

Or another option is to have 9 dimes and no other coins. Or perhaps you could have nothing but nickels and you'd need 18 nickels. There are a few ways to determine what coins to use.

Answer:

8200/1000 = 8.2 so each time a class sells 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

Answer:

x^2 - 9

Step-by-step explanation:

Multiply parenthesis

x × x = x^2

x × -3 = -3x

3 × x = 3x

3 × -3 = -9

x^2 - 3x + 3x - 9

= x2 - 9

Answer:

Yes

Step-by-step explanation:

3003 woooow

Answer:

yes

Step-by-step explanation:

A is divisible by  B, if after dividing them, A ÷ B, the remainder is zero.

Answer:

isnt it 5 seconds?

its quite blurry but i think its 5

It took car A five seconds to travel 10 meters. The 5 on the x-axis aligns with the 10 meters on the y-axis.

Answer:

C

Step-by-step explanation:

A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.

Answer:

Pizzeria J

Step-by-step explanation:

Pizzeria J makes

y = 14x

Let x = 1, for 1 pizza. Then,

y = 14 × 1

y = 14

At pizzeria J, 1 pizza costs $14.

In the equation y = 14x, the slope, 14, is the cost per pizza.

Now we find the slope of the graph for pizzeria W.

The x-axis is the number of pizzas.

For x = 1, y = 11.

The slope is 11, so the price per pizza is $11.

Answer: Pizzeria J

Check the picture below.

Answer:

the x-axis is 0,1

the y -axis is -1, - 35

sorry if  im rong

Step-by-step explanation:

Answer:

look at explanation

Step-by-step explanation:

the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).

mark -1 on your graph, which should be one slot to the left of zero.

the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.

your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.

Answer:

The area of real patio is 50m².

Step-by-step explanation:

Given,

Length of patio = 3 cm

Width of patio = 6 cm

According to scale =

3 cm = 5m

1 cm = \frac{5}{3}\ m35 m

6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m

Real length of patio = 5 m

Real width of patio = 10 m

Area = Length*width

\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}

Area=5∗10Area=50 m2

The area of real patio is 50m².

Answer:

y = [tex]\frac{5}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{5}{4}[/tex] and c = 2 , then

y = [tex]\frac{5}{4}[/tex] x + 2 ← equation of line

Virtue based ethics holds that character is more important than actions.

Virtue based ethics is the aspect of ethics that holds that the moral character of a person if of more paramount importance than the person's actions and its consequences.

Hence, the true statement about virtue based ethics from the options is that; "according to the principles of virtue-based ethics, character is more important than actions."

Learn more about ethics: https://brainly.com/question/25784680

Answer:

boom bam ba boom bam ba

Answer:

Step-by-step explanation:

Your equation makes no sense.

I will ASSUME you mean

y = -x² - 2x + 3

which can be factored

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

x intercepts occur when y = 0

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

which means either

x + 3 = 0

x = -3

or

-x + 1 = 0

x = 1

x intercepts are (-3, 0) and (1, 0)

The vertex will occur halfway between these point

x = (-3 + 1) / 2 = -1

so vertex = y = -(-1)² - 2(-1) + 3 = 4

(-1, 4)

[tex](3 {m}^{6} {n}^{2} ) ^{3} .2m {n}^{4} \\ = {3}^{3} {m}^{6 \times 3} {n}^{2 \times 3} \times 2 m{n}^{4} \\ = 27 {m}^{18} {n}^{6} \times 2m {n}^{4} \\ = (27 \times 2) {m}^{18 + 1} {n}^{6 + 4} \\ = 54 {m}^{19} {n}^{10} [/tex]

Answer:

[tex]54 {m}^{19} {n}^{10} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Solution given:

[tex]\bold{(3m^6n²)³.2mn⁴}[/tex]

distribute power

[tex]3³m^{6*3}n^{2*3}.2mn⁴[/tex]

[tex]27m^{18}n^6.2mn⁴[/tex]

multiply like terms and add or subtract power in multiplication

[tex]27*2.m^{18+1}n^{6+4}[/tex]

[tex]\large{\bold{54m^{18}n^{10}}}[/tex] is a required answer

Answer:

D

Step-by-step explanation: