A housing developer wants to create 45 house lots for every 10 acres of land. All the house lots will be the
same size and shape. Which of these is closest to the amount of land required to create 105 house lots?



A. 11 acres

B. 25 acres

C. 42 acres

D. 63 acres

Answer: C. quadrant l

Step-by-step explanation:

Angle 694° lies Quadrant IV which is correct option (D)

A graph can be defined as a pictorial representation or a diagram that represents data or values

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

For Quadrant  I : the value of x and y both are positive ( +,+ )

For Quadrant  II :  the value of x is negative and y is positive ( -,+ )

For Quadrant  III : the value of x is negative and y is negative ( -, - )

For Quadrant  IV : the value of x is positive and y is negative ( +, - )

Locate the quadrant of the angle.

If the angle is greater than 360°,

Subtract 360° until the angle is less than 360°.

⇒ 694 - 360

⇒ 334°

Hence, angle 694° lies Quadrant IV

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Answer:

QR = 4x - 6

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.

From the question:

Perimeter of triangle PQR = PQ + PR + QR

But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.

Therefore substituting gives:

8x - 6 = (x + 1) + (3x - 1) + QR

8x - 6 = (x + 3x + 1 - 1) + QR

8x - 6 = 4x + QR

QR = (8x - 6) - 4x

QR = 4x - 6

Answer:

5

Step-by-step explanation:

10% = 0.1

0.1*50 = 5

Answer:

5

Step-by-step explanation:

10 percent *50 =

( 10:100)*50 =

( 10*50):100 =

500:100 = 5

Now we have: 10 percent of 50 = 5

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

Answer:

1. [tex]4\sqrt{5}[/tex]

2. [tex]10\sqrt{10}[/tex]

Step-by-step explanation:

When you multiply radicals, you do the following

[tex]a\sqrt{b}\cdot c\sqrt{d}\\\\=ac\sqrt{bd}[/tex]

with that in mind

1.

[tex]\sqrt{16}\cdot \sqrt{5}[/tex]

here we don't need to multiply 16 times 5, because 16 = 4^2 and take the square root of it, gives you 4

[tex]=4\sqrt{5}[/tex]

2.

[tex]\sqrt{20}\cdot 5\sqrt{2}\\\\\longrightarrow 20 = 2^2\cdot 5\\\\=2\sqrt{5}\cdot5\sqrt{2}\\\\=(2\cdot5)\sqrt{5\cdot2}\\\\=10\sqrt{10}[/tex]

Answer:

All real numbers are solutions (hope that helps)

Step-by-step explanation:

12x+1=3(4x+1)−2

Step 1: Simplify both sides of the equation.

12x+1=3(4x+1)−2

12x+1=(3)(4x)+(3)(1)+−2(Distribute)

12x+1=12x+3+−2

12x+1=(12x)+(3+−2)(Combine Like Terms)

12x+1=12x+1

12x+1=12x+1

Step 2: Subtract 12x from both sides.

12x+1−12x=12x+1−12x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

Answer:

103.823

Step-by-step explanation:

It's just 4.7 to the third power, so I multiplied to get 103.823. :)

Answer:

[tex]8u+ 17 = 17 \\ 8u = 17 - 17 \\ 8u = 0\\ u = \frac{0}{8} \\ \boxed{u = 0}[/tex]

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

-2x²-2x-4

Is the answer. I know because I took the test.

Answer:

b=-3

Step-by-step explanation:

distribute 3(b-2) and you get 3b-6.

-3+4b=3b-6

add 3 on both sides.

4b=3b-3

-3b on both sides

b=-3

Answer:

The answer is b.7

Step-by-step explanation:

Because i had the question and got it right

Answer:

Angle ABF is 120°.

Step-by-step explanation:

Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.

Answer:

A and D

Step-by-step explanation:

It should be Sx2 + 2(S+ 1/2)

Which is equal to 4s+1

and 2(2s + 1/2) is equal to 4s+1 as well

Answer:

2(-2)+1

Step-by-step explanation:

All you have to do is replace x with-1

Answer:

4 and for x+y is 2+1

Step-by-step explanation:

Answer:

(0, 14) is the y-intercept

Answer:

14 is the y-intercept

Step-by-step explanation:

10 would be the slope so that leaves 14 which is the y intercept

Answer:

1. it would be -5

2. It would be 10

Step-by-step explanation:

two negatives equal a positive.

-9+4= -5

5+5=10

Answer: 12 metres

Step-by-step explanation:

The scale factor used for the model is 1 : 30.

This means that for any 1cm on the model, the real boat would be 30 cm.

If the height is 40 cm on the model, the real boat will be 30 times that:

= 40 * 30

= 1,200 cm

A metre is equivalent to 100cm.

1,200 cm would therefore be:

= 1,200/100

= 12 metres

Answer:sorry

Step-by-step explanation:

Answer:Kim’s family invested $3000

Step-by-step explanation:

The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.

The interest rate is 8% per year, so the interest rate per quarter is 8% / 4 = 2%.

The value of the CD at the end of each quarter can be calculated using the formula:

CD value at end of quarter = CD value x (1 + interest rate per quarter)

For example, at the end of the first quarter, the CD value would be:

CD value at end of first quarter = $3000 x (1 + 0.02) = $3060

You can repeat this process for each quarter to find the CD value at the end of 5 years.

After 5 years, there will have been 20 quarters (5 years x 4 quarters per year), so the CD value at the end of 5 years will be:

CD value at end of 5 years = $3000 x (1 + 0.02)²⁰ = $4393.84

To find the value of the CD if it is compounded annually for 15 years, you can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:

CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01

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Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

Answer:

F

Step-by-step explanation:

3(5) would be the equivalent of 3*5, adding the + n.

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

Answer:

226.08 square inches

Answer:

Step-by-step explanation:

First we find Area

12^2* 3.14= 452.16

Then we know that half of the sign is painted red and the other half is painted yellow

452.16 / 2 = 226.08

226.08 square inches is painted yellow and 226.08 square inches is painted red

The expression would be: m + 0.15m and to know how much she paid I believe it would be 26.09 (rounded)

Answer:

The CD player's price decreased by 35%