Hanley made a scale drawing of his rectangular patio for a landscaping project. In the drawing, he used a scale of 1 inch = 5 feet. The dimensions of the patio in the scale drawing are 5.5 inches by 4 inches. What is the actual area of the patio?

A. 22 square feet
B. 95 square feet
C. 110 square feet
D. 550 square feet

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}[/tex]

[tex]x^{2}=100[/tex]

[tex]x=10\ in[/tex]

Answer: [tex]46x^2+73x+15[/tex]

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

[tex]A=lw[/tex]

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are [tex](6x+7)[/tex] by [tex](8x+5)[/tex], its area is:

[tex]A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35[/tex]

As they are planning that the dimensions of the mural be [tex](x+4)[/tex] by [tex](2x+5)[/tex], its area is:

[tex]A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20[/tex]

Then the area of the remaining wall after the mural has been painted is:

[tex]A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15[/tex]

you would multiply 36*2/3 and get 24 which would be the new side length

Answer:

24 feet

Step-by-step explanation:

got it right on ttm :)    

Answer:

The swimming pool lost 500,000 liters

Step-by-step explanation:

Now it only has .5 million liters now

Answer: The graph is attached.

Step-by-step explanation:

The region is limited by two lines:

[tex]x+y=6[/tex] and [tex]x=4[/tex]

You can write the first inequlity [tex]x+y\leq6[/tex] in the following form:

[tex]y\leq-x+6[/tex]

This region are all the values for which the y-axis is less than the line f(x)=x+6 (all the values under the line).

The other inequality  x ≤ 4 are all the values for which the x-axis is less than the line x=4 (all the values to the left of the line).

Observe the graphs attached.

Answer:

its this one

Step-by-step explanation:

Answer:

y  = x+3;  y = -2x +5

Step-by-step explanation:

x + 3 = -2x + 5

Let   y = x + 3 = -2x + 5

If a = b = c then a=b and a=c

we can write the equation as

y = x + 3 and y = -2x + 5

Thus, this is the system of equations

y = x + 3

y = -2x + 5

Answer:

y = x + 3 and y = -2x + 5

Step-by-step explanation:

If we consider one set of equation as:

[tex] y = x + 3 [/tex]

and the other set of equation as:

[tex] y = - 2 x + 5 [/tex]

Since the left hand side for both these equations is same, therefore we can equate the right hand side and write it as:

[tex] x + 3 = - 2 x + 5 [/tex]

Answer:

Step-by-step explanation:

(a) In order to use the elimination method, multiply the second equation by 2.

It becomes 2x + 4y = 20.

Subtract that from the first equation: 3x + 4y = 12

3x + 4y - 2x - 4y = 12 - 20

x = -8

Put that back in the second equation: -8 + 2y = 10

2y = 18

y = 9

(b) In order to use the substitution method, subtract 2y from the second equation.

It becomes x + 2y - 2y = 10 - 2y

x = 10 - 2y

Substitute that into the first equation:

3(10 - 2y) + 4y = 12

30 - 6y + 4y = 12

30 - 2y = 12

2y = 18

y = 9

Put back into the equation for x:

x = 10 - 2(9)

= 10 - 18

= -8

Answer:

Step-by-step explanation:

(1) 3x + 4y = 12

(2) x + 2y = 10

(2)*3: 3x+6y=30

by elimination (2)*3 - (1)

6y-4y=30-12

2y=18

y=9

x+2(9)=10

x=-8

rearrange (2): x=10-2y

substitute in (1): 3(10-2y)+4y=12

30-6y+4y=12

2y=30-12

y=9

x=10-2(9)

=-8

same ans either way

Answer:

the answer to this is 7.9 or 7 13/14

Step-by-step explanation:

1. Divide both sides by 14

111/14 = 14g/14

2. Simplify

g = 7 13/14

Final answer:

The variable 'g' in the equation 111 = 14g is found by dividing 111 by 14, resulting in approximately 7.929 (rounded to 4 significant figures).

Explanation:

The equation given is 111 = 14g, which seems to be a simple algebra equation where you are solving for the variable g. To find g, you would divide both sides of the equation by 14 to isolate g.

This calculation yields: g = 111 / 14, which equals 7.92857142857. However, this number might need to be rounded depending on the context or instructions for significant figures. If the problem instructions mentioned 4 sig figs, the answer would be rounded to 7.929.

Answer: The first answer choice

Step-by-step explanation:

so the difference is 975 - 828.75 = 146.25.

now, if we take 975 to be the 100%, what is 146.25 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 975&100\\ 146.25&x \end{array}\implies \cfrac{975}{146.25}=\cfrac{100}{x}\implies 975x=14625 \\\\\\ x=\cfrac{14625}{975}\implies x=15[/tex]

Answer:

THE THIRD ONE I THINK :D

Answer:

Option C

Step-by-step explanation:

There are several types of costs in this problem:

* Unique costs

* Costs that depend on the number of cars

* Costs that depend on the number of months

* Costs that depend on the number of months and the number of cars.

The costs that depend on the number of cars represent the coefficient of the variable n.

The costs that do not depend on the number of cars represent the constant value of the equation.

Then, to solve this problem you must identify the costs that do not depend on the number of cars.

These costs are:

* Membership Fee: $ 50 (one-time cost)

* Pull Pressure Check Cost: $ 15 per month

[tex]\$50 + \$15(12\ month) = \$230[/tex]

Then the answer is option C

Hello.

You would write the equation like this: [tex]\frac{2}{3} c - 2[/tex]

Let me know if that was what you were looking for.

Answer:   3x

Step-by-step explanation:

[tex]\dfrac{\sqrt[3]{54x^5}}{\sqrt[3]{2x^2}}=\dfrac{\sqrt[3]{3\cdot 3\cdot 3\cdot 2\cdot x\cdot x\cdot x\cdot x^2}}{\sqrt[3]{2x^2}}=\dfrac{3x\sqrt[3]{2x^2}}{\sqrt[3]{2x^2} }=\boxed{3x}[/tex]

The answer is C. Hope this helps!

Answer:

25 strawberries and 10 oranges

Step-by-step explanation:

1) 12 ÷ 8 = 2.5

2)10 x 2.5= 25

3)4 x 2.5=10

Answer:

The answer is C because when you substituted the coordinate pairs into the equation, both sides are equal which tells you that they're a solution to the equation.

Explanation:

All you do is substitute. (x,y)

A:

Substitute

1 = 4(2) - 7

Multiply the number inside the parentheses by the outside number.

1 = 8 - 7

Subtract to get your solution.

1 = 1

Both sides equal to each other so this means that this is a solution to the equation.

B:

Substitute

9 = 4(4) - 7

Multiply the number inside the parentheses by the outside number.

9 = 16 - 7

Subtract to get your solution.

9 = 9

Both sides equal to each other so this means that this is also a solution to the equation.

D:

Both ordered pair is a solution to the equation.

Answer:

Parallel :)

Step-by-step explanation:

thats the tea sis.

Answer:

59

Step-by-step explanation:

Substitute.

6 ^ 2 = 36

36 + 23 = 59

Answer:

y = 4

or

y - 4 = 0(x - 3)

Step-by-step explanation:

The points (-2,4) and (3,4) have the same y-value. Because of this, the slope of the line will be 0 and the line will be horizontal. This means the line will have the equation y = b where b is the y-coordinate. The equation of the line is

y = 4.

In point slope form, the equation will have m = 0.

y - 4 = 0(x -3)

Answer:

s - 8

Step-by-step explanation:

TO find the function rule, substitute (s-2) in place of v. Then simplify.

h(v) = v - 6

h(s - 2) = (s - 2) - 6

h(s - 2) = s - 8

Answer:

cylinder

Step-by-step explanation:

Answer:

0.5amps

Step-by-step explanation:

I is inversely proportional to resistance

I = k/R

k = I/ R

k = 20/5

k = 4

This means that, I = 4/R

So, when R = 8ohms,

I = 4/8

 =0.5amps

Using Ohm's law, the inverse relationship between current and resistance in a simple circuit allows calculation of the new current as 12.5 amps when the resistance changes from 5 ohms to 8 ohms.

The student's question involves an application of Ohm's law, which is a fundamental principle in Physics that relates electric current (I), resistance (R), and voltage (V). According to Ohm's law, in a simple circuit, the current is inversely proportional to the resistance when the voltage is held constant. Given that the current is 20 amps when the resistance is 5 ohms, we can write the relationship as I1 * R1 = I2 * R2 where I1 and R1 are the initial current and resistance, and I2 and R2 are the final current and resistance we wish to find.

Plugging in the given values, we have:

20 amps * 5 ohms = current when resistance is 8 ohms * 8 ohms

Solving for the current when the resistance is 8 ohms:

20 amps * 5 ohms = I2 * 8 ohms

100 = I2 * 8

I2 = 100 / 8

I2 = 12.5 amps

Therefore, the current when the resistance is 8 ohms is 12.5 amps.

4.0003 x 10^7 is already in scientific notation. If you mean in regular notation/as a regular number, it is 40003000. Since it is 10 to the power of positive 7, you move the decimal place 7 to the right.

Answer:

40,003,000

Step-by-step explanation:

The given number is :

[tex]4.0003\times 10^{7}[/tex]

As we can see that [tex]4.0003\times 10^{7}[/tex] is already in scientific notation.

Scientific notation means writing numbers in powers of 10.

Hence, we can write this notation in regular way as:

40,003,000

answer Y=1 over 4 and Y= 2 over 3 that is your answer and these are the steps I'm going to put a image hope this is useful to u and have a beuty day

Answer:

f(y) = 12y^2 -5y -2 = 0

a = 12 b =-5 c=-2

Using quadratic formula:

y = [-b +-sq root (b^2 -4ac)] / 2 a

y = [--5 +-sq root (25 -4*12*-2)] / 24

y = [5 +- sq root  (25 + 96) ] / 24

y = [5 +- sq root  (121) ] / 24

y = [5 + 11] / 24

y1 = (2/3) = .66666666666

y2 = 5 -11 / 24  

y2 = -(1/4) = -.25

Step-by-step explanation:

Answer:

9.4 units

Step-by-step explanation:

To find the distance between two points D ( 1, 3 ) and H ( 9, 8 ), we can use the distance formula:

d = √(( x₂ - x₁ )² + ( y₂ - y₁ )² )

Substituting the coordinates, we have:

d = √( ( 9 - 1 )² + ( 8 - 3 )²)

Simplifying,

d = √( 8² + 5² )

d = √( 64 + 25 )

d = √89

d ≈ 9.4 units

The distance between point D and H to the nearest tenth is 9.4 units

The distance between two points is the length of the line segment joining them. Since the length of the line segment cannot be negative, the distance between two points is always positive.

The distance between two points is expressed as

S = √ X -x)² + (Y -y)²

= √ 9-1)² + 8-3)²

= √ 8² + 5²

= √ 64 +25

= √89

= 9.4 ( nearest tenth)

Therefore the distance between point D and H to the nearest tenth is 9.4 units

learn more about distance between two points from

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Answer:

B

Step-by-step explanation:

use the exponent rule of division: you just subtract the exponents if the base is the same, so 4-8=-4

The fraction with a numerator of 3.74 x 10⁻¹⁶ and a denominator of 10⁻³⁰ represented as a single exponential expression is 3.74 x 10¹⁴, obtained by dividing the digit terms and subtracting the exponents.

To represent the fraction as a single exponential expression, you follow the division of exponentials rule, which involves dividing the digit terms and subtracting the exponents of the exponential terms. Given the fraction with a numerator of 3.74 x 10-16 and a denominator of 10-30, you would divide 3.74 (the digit term of the numerator) by 1 (the implied digit term of the denominator) which is just 3.74, and subtract the exponents (-16 - (-30)) which equals 14. Therefore, the fraction as a single exponential expression is 3.74 x 1014.

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Answer: 5(-2 1/4)

Step-by-step explanation: When somethig is being taken away, it's represented as a negative number. The number needs to be displayed throug 5 days, so A would be correct. To check, a negative times a postive is a negative, and 5 times -2 1/4 is -11 1/4.

20.43+5.12=25.55 so ur answer is 25.55

Answer:

$25.55

Step-by-step explanation:

43+ 12 =55

20+5=25

The answer is $25.55.