Houses in an estate are all identical. However, a person can purchase a new house with some, all, or none of a set of options, as indicated by the set below. How many options are there for purchasing a house in this community? flake view, screened-in balcony, upgraded landscaping, pool} options for purchasing a house in the community. There are

Answer:

P=26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Begin with the fact that the area of a rectangle is A = L * W.  We know that the area is 42 and the length is 7, therefore, we can sub those values into the area formula to solve for the width.

42 = 7 * W so

w = 6 mm.

The perimeter formula is P = 2L + 2W, and now we know L and W. So

P = 2(7) + 2(6)

P = 14 + 12

P = 26

The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have equation:

[tex]\rm x-\dfrac{7}{x}=6[/tex]

After simplifying:

[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]

[tex]\rm x^2 +x-7x-7=0[/tex]

(x + 1)(x - 7) = 0

x = -1 or x = 7

Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

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Answer:

C) x= -1 and x=7

Step-by-step explanation:

Answer:

Hello there!

~~~~~~~~~~~~~~~~~~~~~~`

Convert the fraction to a decimal by dividing the numerator by the denominator.

[tex]109 / 50 = 2.18[/tex]

Hope this helped you. Brainliest would be nice!

Answer:

The numbers are 11 and 13

Step-by-step explanation:

Let

the first odd whole number=x

Reciprocal=1/x

Second odd whole number=x+2

Reciprocal=1/x+2

The difference

(1/x) - 1/(x+2)=2/143

(x+2)-x / (x)(x+2)=2/143

x+2-x/x(x+2)=2/143

2/x(x+2)=2/143

2(143)=2(x^2+2x)

286=2x^2+4x

2x^2+4x-286=0

x^2+2x-143=0

Solve the quadratic Equation

x=-b +or- √b^2-4ac/2a

a=1

b=2

c=-143

x= -b +or- √b^2-4ac/2a

=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)

= -2 +or- √4-(-572) / 2

= -2 +or- √4+572/2

= -2 +or- √576/2

= -2 +or- 24/2

x= -2+24/2

= 22/2

=11

Or

x= -2-24/2

= -26/2

= -13

Taking the positive value

x=11

The second odd whole number=x+2

=11+2

=13

Answer: B) 76.86

Step-by-step explanation:

Follow the steps others took to get D, then divide by 12 to get 76.86

Hope it helps <3

Answer: The area is 24 square units.

Step-by-step explanation:

Things you need to use in this exercise:

Area of a circle = pi*r^2

r is the radius, equal to half the diameter.

Ok, in the image we can see 3 half-circles.

one has a diameter of 8 units: with area A (the left one)

other has a diameter of 6 units: with area B (the bottom one)

and the other has a diameter equal to the hypotenuse of the right triangle: with area C (the white semicircle that also includes the right triangle)

Now, you can think the shaded area as:

The sum of the areas of the half circles A and B, minus the area of the half-circle C, plus the area of the right triangle (because the white triangle is also included in the white semicircle)

So the area is:

A + B - C + area triangle

A = pi*(8/2)^2 = 3.14*4^2 = 50.24

B = pi*(6/2)^2 = 3.14*3^2 = 28.26

the area of the triangle is equal to:

T = 6*8/2 = 24

Now, to obtain the area of the white semicircle ( C) we need the hypotenuse of the triangle, so here we can use the Pythagorean's theorem:

H^2 = 8^2 +6^2

H = √(8^2 + 6^2) = 10

Then:

C = pi*(10/2)^2 = 3.14*5^2 = 78.5

Then the shaded area is:

Area = 50.24 + 28.26 + 24 - 78.5 = 24

Answer:

x=3

Step-by-step explanation:

15x=27+6x

subtract 6x

9x=27

divide 9

x=3

X=3

Step-by-step explanation:

15x = 27 + 6x

15x - 6x =27

9x =27

X= 27/9

X= 3

[tex]hope \: this \: helps[/tex]

Answer:

[tex]Goat = 2080IU[/tex]

Step-by-step explanation:

Given

Ratio = 3 : 4

Litre of cow = 1560IU

Required

IU of a litre of goat

The ratio represents ratio of cow milk to goat milk

In other words;

[tex]Cow:Goat = 3 : 4[/tex]

To calculate the number of IU in a litre of goat milk; we substitute Cow with 1650 in the above expression

[tex]Cow:Goat = 3 : 4[/tex]

[tex]1560:Goat = 3 : 4[/tex]

Convert  to fraction

[tex]\frac{1560}{Goat} = \frac{3}{4}[/tex]

Multiply both sides by 4

[tex]4 * \frac{1560}{Goat} = \frac{3}{4} * 4[/tex]

[tex]\frac{4 * 1560}{Goat} = \frac{ 4 * 3}{4}[/tex]

[tex]\frac{6240}{Goat} = 3[/tex]

Multiply both sides by Goat

[tex]Goat * \frac{6240}{Goat} = 3 * Goat[/tex]

[tex]6240 = 3 * Goat[/tex]

Divide both sides by 3

[tex]\frac{6240}{3} = \frac{3 * Goat}{3}[/tex]

[tex]\frac{6240}{3} = \frac{3 * Goat}{3}[/tex]

[tex]2080 = Goat[/tex]

[tex]Goat = 2080[/tex]

Answer:

Step-by-step explanation:

A.) 600 x 20 = 12,000

    120 x 27 = 3,240

     12,000 + 3,240 = 15,240

B.) 600 x 13 = 7,800

     120 x 20 = 2,400

     7,800 + 2,400 = 10,200

C.) 600 x 18 = 10,800

    120 x 25 = 3,000

    10,800 + 3,000 = 13,800

D.) 600 x 11 = 6,600

     120 x 18 = 2,160

     6,600 + 2,160 = 8,760

Answer:

6x

Step-by-step explanation:

Product is multiplication.

2x × 3

Multiply.

2 × x × 3

= 6x

Answer:

      -7 ± i√127

x = -----------------

              2

Step-by-step explanation:

Next time, please share the possible answers.  Thank you.

x^2 + 7x + 44 has a parabolic graph that opens up and never intersects the x-axis.  Thus, it has no real roots.

The coefficients of this polynomial are a = 1, b = 7, c = 44.

The discriminant is b^2 - 4ac, or 7^2 - 4(1)(44) = -127.  As expected, this is negative, confirming that the roots are complex.

The roots are:

      -7 ± i√127

x = -----------------

              2

The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know that Pythagoras theorem:

[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]

10² = 8² + 6² = 64+36 = 100

Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

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Answer:

2/3 ≈ 0.666667

5/11 ≈ 0.454545

5/6 ≈ 0.833333

6/7 ≈ 0.857143

Step-by-step explanation:

Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.

Answer:

2/3 = 2 divided by 3 so 2 divided by 3 = 0.666667. We round up because it is a repeating decimal which goes on forever

5/11= 5 divided by 11 = 0.454545

5/6 = 5 divided by 6 =0.833333

6/7 = 6 divided by 7 = 0.857143

rounded up because it is an infinite decimal

Hope this helps

Step-by-step explanation:

Answer:

solution,

Draw a line RM parallel to line PQ and ST .And the line RM divides the angle W in two part .i.e x° and y°

<w=X+y

If RM is parallel to ST then,

<MRT=<SRT (being alternate angles)

<X=34°

If RM is parallel to PQ then,

<PQR=<MQR( being alternate angles)

52°=y

y=52°

now,

w=X+y

=34° +52°

=86°

Hope this helps...

Good luck on your assignment..

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350                                       1/2 X = 2/3 Y

                                                                X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

                                                     1/2 * 200 = 2/3 * 150

                                                       100 .      =   100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

Answer: The next step will be 2x - 1 = 9

Step-by-step explanation:

4x -1 = 2x + 9

-2x       -2x  

2x -1 = 9

    +1  +1

2x= 10

x= 5

Answer:

2x-1=9

Step-by-step explanation:

2x-1=9

4x-2x-1=2x-1

2x-2x+9=9

2x-1=9

Answer:

d=16

Step-by-step explanation:

d: distance (10,4),(-6,4)

d=√(x2-x1)^2+(y2-y1)^2

d=√(-6-10)^2+(4-4)^2

d=√16^2

d=16

Answer:

go 4 to right or where is positive then thats it

Step-by-step explanation:

lololololololololololololol

Answer:

The distance from the Zoo to the city is 80 km

Step-by-step explanation:

The given information are;

The speed of the tour bus = 78 km/h

The point of passing the tour bus = Half way between the city and the Zoo

The time taken after passing the tour bus when it was still  14 km from the city = 20 minutes = 20/60 hour = 1/3 hour

Therefore, we have that the distance covered by the tour bus in 1/3 hour  = Time ×Speed = 1/3×78 = 26 km

The distance remaining for the tour bus to reach the city = 14 km

The total distance from the time of observation of the tour bus = Half the distance from the city to the Zoo

Also, the total distance from the time of observation of the tour bus = 26 km + 14 km = 40 km

∴ 40 km = Half the distance from the city to the Zoo

Which gives;

The distance from the Zoo to the city = 2 × 40 km = 80 km.

Answer:

Hey there!

Choice A represents a function, because a function only has one y value for every x value.

Hope this helps :)

Answer:

A

Step-by-step explanation:

In a function, the x value can only go to one y value

B has x=5 going to y = 13 and y = 17

C had x = -3 with y values of 1 and -1

D has x = -4 going to y = 52 and 16

A each input has only one output value

Answer:

V=280

Step-by-step explanation:

V=whl

V=(8)(7)(5)

V=280

Answer:

140 units ^3

Step-by-step explanation:

a p e x

Answer:

1/20.

Step-by-step explanation:

Dividing by 4 is the same as multiplying by 1/4 so

1/5 / 4

= 1/5 * 1/4

= 1 /(5*4)

= 1/20.

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} \div 4[/tex]

Flip the second fraction and multiply

Dividing fraction is exactly same as multiplying the reciprocal

[tex] \frac{1}{5} \times \frac{1}{4} [/tex]

Multiply the fractions

[tex] \frac{1 \times 1}{5 \times 4} [/tex]

Calculate

[tex] \frac{1}{20} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

1463 : 5080

Step-by-step explanation:

There are 1463 cherry-flavored jelly beans.

There are 5080 non cherry-flavored jelly beans.

The ratio of cherry-flavored jelly beans to non-flavored jelly beans is:

1463 : 5080

we need the graph/ lines,

but just remember

wherever 2 lines intersect, that is a solution

if they are paralell, no solutions

if they cross, 1 solution

if they are the same line/ the lines are on top of each other exactly, infinite solutions

Answer:

x=0   x=3   x=-2

Step-by-step explanation:

p(x)= 3x^3 – 3x^2– 18x

Factor out the greatest common factor, 3x

p(x)= 3x (x^2 – x– 6)

Factor inside the parentheses

What 2 numbers multiplies to -6 and adds to -1

-3*2 = -6

-3+2 = -1

p(x)= 3x (x-3)(x+2)

Setting the function equal to zero to find the zeros

0 = 3x (x-3)(x+2)

Using the zero product property

3x = 0  x-3 =0   x+2 =0

x=0   x=3   x=-2

Answer:

x = -2, 0, 3.

Step-by-step explanation:

3x^3 – 3x^2– 18x = 0

First take out the GCF which is 3x:

3x(x^2 - x - 6) = 0

So one zero  is 0 ( because 3x = 0).

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = -2, 3.

Answer:

Answer B (The cost of fabric compared to its length)

Step-by-step explanation:

The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.

The other options are much more randomly varying.

Answer:

The answer is option A.

p = 0.7(rh + b)

Making h the subject

divide both sides by 0.7

we get

p/0.7 = rh + b

send b to the left side of the equation

p / 0.7 - b = rh

divide both sides by r

we get

( p / 0.7 - b) ÷ r = h

therefore h = ( p / 0.7 - b ) ÷ r

Hope this helps

Answer:

3 and 5

Step-by-step explanation:

Alternate interior angles are the angles in between the two lines and on the inside

4 and 6

3 and 5

Answer:

∠3 and ∠5 are alternate interior angles

Step-by-step explanation:

By the definition, alternate interior angles are angles that are inside the lines and opposite sides of each other on the transversal.