Kofi paid rent of GH¢ 1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

Answer:

A) 8d^2/3c

B) 3a^2b^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

In exponent division, if base are same , subtract the exponents.

[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\ \frac{a^{m}}{a^{n}}= \frac{1}{a^{n-m}}, m<n[/tex]

a) 8c²d⁵ ÷ 2c³d³ = [tex]\frac{8}{2}* \frac{d^{5-3}}{c^{3-2}}= 4*\frac{d^{2}}{c}= \frac{4d^{2}}{c}[/tex]

b) 9a³b⁵ ÷ 3ab² = [tex]\frac{9}{3}* a^{3-1}*b^{5-2} = 3a^{2}b^{3}[/tex]

Answer:

x     -1      1    3

y      -2    -4   2

Step-by-step explanation:

y=x^2-x-4

when x=-1

y=(-1)^2-(-1)-4

y=1+1-4

y=-2

when x=1

y=(1)^2-(1)-4

y=1-1-4

y=-4

when x=3

y=(3)2-(3)-4

y=9-3-4

y=9-7

y=2

Answer:

False

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

3÷6/1 is the same thing as 3÷6

and when reducing to the lowest term gives 1÷3 or 1/3

Answer:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):

[tex]o=\sqrt{13^2-5^2}=12[/tex]

And since θ is in QII, sine is positive, and cosine and tangent are both negative.

Sine is the ratio of the opposite side to the hypotenuse. Therefore:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Answer:

13328 N

Step-by-step explanation:

9.8 m/s^2 • 1360 = X

13328 N = X

Answer:

The population of town A = 18,000

The population of town B = 15,000

The population of town C = 20,000

Step-by-step explanation:

Given;

A:B = 6:5

B:C = 3:4

total population = 53,000

A + B + C = 53,000

[tex]\frac{A}{B} = \frac{6}{5} \\\\A = \frac{6B}{5} \\\\\Also;\\\\\frac{B}{C} = \frac{3}{4} \\\\C = \frac{4B}{3} \\\\then;\\\\\frac{6B}{5} +B+ \frac{4B}{3} = 53,000\\\\multiply \ through \ by \ "15"\\\\18B + 15B + 20B = 795,000\\\\53B = 795,000\\\\B = \frac{795,000}{53} \\\\B = 15,000[/tex]

Now solve for A and C;

[tex]A = \frac{6 \times 15,000}{5} = 18,000\\\\C = \frac{4 \times 15,000}{3} = 20,000[/tex]

Answer:

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Step-by-step explanation:

[tex](15 {x}^{3} + 22 {x}^{2} - 15x + 2)[/tex]

Apply Rational Root Theorem, our possible roots will be

plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).

I

I tried root -2 and it work so

If we apply synthetic dividon, we would be left with

[tex]15 {x}^{2} - 8x + 1[/tex]

We can factor this regularly.

Apply AC method that a number

AC will multiply to 15 but add to -8.

The answer are -5 and -3 so we write this as

[tex]15 {x}^{2} - 5x - 3x + 1[/tex]

Factor by grouping

[tex](15x {}^{2} - 5x) - (3x + 1)[/tex]

[tex]5x(3x - 1) - 1(3x - 1)[/tex]

So our factor are

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Answer:

1547

Step-by-step explanation:

10^3 is 1000 1.547 x 1000 = 1547.

Pls follow and mark answer as brainliest

Answer:

9

Step-by-step explanation:

f(x) = x − 7

g(x) = x^2

Find g(4) = 4^2 = 16

Then find f(g(4)) = f(16) = 16 -7 = 9

Answer:

f(g(4)) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x - 7

g(x) = x²

Step 2: Find f(g(4))

Answer:

in picture

Step-by-step explanation:

Brainliest please~

Answer:

(5 , 1)

Step-by-step explanation:

coordinate point is (2 , 9)

translation rule is

(x , y) = (x + 3 , y - 8)

here x is 2 and y is 9

so  the new coordinate will be

(x + 3 , y - 8)

(2 + 3 , 9 - 8)

(5 , 1)

Answer:

12 hours

Step-by-step explanation:

pages total = pages written + pages per hour * number of hour

47 = 11 + 3*h

Subtract 11 from each side

47 -11 = 11 +3h -11

36 = 3h

Divide by 3

36/3 = 3h/3

12 = h

The angles represented by (2x - 60) and (60 - 2x) cannot be supplementary because their sum add up to zero instead of 180°.

Answer:

radius = [tex]\sqrt{26}[/tex] units

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Using the distance formula to calculate r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (1, - 3)

r = [tex]\sqrt{(1-2)^2+(-3-2)^2}[/tex]

  = [tex]\sqrt{(-1)^2+(-5)^2}[/tex]

   = [tex]\sqrt{1+25}[/tex]

    = [tex]\sqrt{26}[/tex]

Answer:

1. 194

2. 189

Step-by-step explanation:

1. 991 - 797 = 194

2. 826 - 637 = 189

Answer:

1. 194 people increased.

2. Edith has 189 stamps more than Parick.

Step-by-step explanation:

1. 991 - 797 = 194

2. 826 - 637 = 189

Answer:

45

Step-by-step explanation:

8-12(-3.5)-5

8+42-5

=45

Answer:

Step-by-step explanation:

cos(c)= x/ac

ac = cos32/9.4

ac =11.08

Answer:

Step-by-step explanation:

sin(58/9.4 = sin(90)/AC

AC= 11.08

Answer:

Conservation

Step-by-step explanation:

Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.

Complete Question

A countertop for a kitchen is modeled with the dimensions shown below. An

18-inch by 21-inch rectangle will be removed for the installation of the sink.

8 ft

2 ft

Sink

18 in

21 in

5 ft

2 ft

What is the area of the top of the installed countertop, to the nearest square foot?

Answer:

19 square foot

Step-by-step explanation:

A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.

Convert from inches to feet

18 inches

1 inch = 0.0833 feet

18 inch = x

Cross Mulitiply

x = 18 × 0.0833 feet

x = 1.5 feet

21 inches

1 inch = 0.0833 feet

21 inch = x

Cross Mulitiply

x = 21 × 0.0833 feet

x = 1.75 feet

Area 1 = 2 ft × 8 ft = 16 ft²

Area 2 = 2 ft × 3 ft = 6 ft²

Area of a sink = Length × Width

= 1.5 ft × 1.75 ft

= 2.625 square feet

Area 1 - Area of sink

= 16 ft² - 2.625 ft²

= 13.375 ft²

Area of the top installed part =

Area 2 + 13.375 ft²

= 6 ft² + 13.375 ft²

= 19.375 ft²

Approximately ≈ 19 ft²

first ,length(l)=14 feet,

bredth(b)=6feet.

now, perimeter = 2(l+b)

=2(14+6)

= 2×20

= 40 feeet

Hope this helps you....

Answer:

a.) 145°

Step-by-step explanation:

First, we need to understand that ∠5 = ∠4 because they are alternate interior angles, therefore, ∠5 = 35°. Then since ∠5 and ∠6 are supplementary angles, we know that ∠5 + ∠6 = 180°, therefore ∠6 = 180° - ∠5 = 180° - 35° = 145°. Now we need to understand that ∠6 and ∠7 are vertical angles, therefore they are equal to each other, so now we know that the right answer is a.) ∠7 = 145°.

Answer:

1/3

Step-by-step explanation:

If it was supposed to be a negative answer, there would be negative numbers in the sequence. So that narrows it do to 3 and 1/3. And now we know that 27*3 isn't 9 but 27*1/3=9 and so on.

Answer:

your answer will have to be 3

Step-by-step explanation:

from 27 to 9, we divided by 3

from 9 to 3, we divided by 3

from 1 to 1/3, we divided by 3

from 1/3 to 1/9, we divided by 3

from 1/9 to 1/27, we divided by 3

so basically the common ratio will have to be 3

Answer: hi

Step-by-step explanation: siodrifjojseidufjsoidhfidshiufhoiersdnfiojdriofjoiedsjfpoiejdpoigheroiuhgoiutrhfbiukghvioruefdhgbiuktrhdfiougkhneoiuwhsrdtifu[tex]\lim_{n \to \infty} a_n \geq \alpha \leq \sqrt{x} \\ \pi \geq \lim_{n \to \infty} a_n \left \{ {{y=2} \atop {x=2}} \right. x^{2} \frac{x}{y} \frac{x}{y}[/tex]

Answer:

oh no

Step-by-step explanation:

Answer:

a line and a plan are considered parallel if they have no points in common if two parallel planes are cut by a third plane then the lines of intersection are parallel

Answer:

24 rolls

Step-by-step explanation:

12 rolls           x rolls

------------  = ------------------

4 dollars           8 dollars

Using cross products

12*8 = 4x

96 = 4x

Divide by 4

96/4 = 4x/4

24 =x

24 rolls

Answer:

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Step-by-step explanation:

Required

Which are true

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.3 < 56[/tex] --- This is true

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.4 < 56[/tex]  --- This is true

[tex](c)\ 7.4 < 5 <5.5[/tex]

This is false because [tex]7.4 > 5[/tex]

[tex](d)\ \sqrt 3 <3 <3[/tex]

This is false because [tex]3 = 3[/tex] not [tex]3 < 3[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

Take square root of 8

[tex]2.8 <2.9[/tex] --- This is true

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Take square root of 5

[tex]2.2 <4.5 < 5[/tex] --- This is true

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8