The sum of X and fifteen

Answer:

x^2 + 5x - 84 = 0

x = 7

Step-by-step explanation:

let the sister's age = y

sister's age (y)  = 5 + x  equation 1

xy = 84  equation 2

Make y the subject of the formula in equation 2

y = 84/x

equate equation 1 and 2

84/x = 5 + x  equation 3

Multiply equation 3 by x

84 = 5x + x^2

x^2 + 5x - 84 = 0

tjis can be solved using quadratic equation

x^2 -7x + 12x -84 = 0

x(x + 12) -7(x + 12)

x = 7 or - 12

age cant be negative so his age is 7

Answer:

8/2

eight halves

Step-by-step explanation:

please mark this answer as brainliest

Answer:

128 pages

Step-by-step explanation:

[tex]0.32*400[/tex]

[tex]=128[/tex]

In total, Marty had read 128 pages of his book.

Answer: $140.50

Step-by-step explanation: Just multiply $13.50 by 3 then add the $100 initial fee.

Answer:

Are you saying look for the slope? because if so can help

Step-by-step explanation:

Answer:   (x − 3)2 +  y2 = 5

a. (x + 3)2 +  y2 = 5

b. (x − 3)2 +  y2 = 25

c. (x − 3)2 +  y2 = 5

d. (x + 5)2 + ( y + 1)2 = 25

Step-by-step explanation:

Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.

r= √(x2 − x1)2 + (y2 − y1)2

Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.

r= √( 5− 3)2 + (1 − 0)2

= √22 + 12

= √4 + 1

= √5

So, the length of the radius is √5 units.

The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.

(x − 3)2 +(y − 0)2 = (√5)2

Simplify.

(x − 3)2 + y2 = 5                                                                                            Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.

Answer:

Some states consider some income to be tax free. this statement is false

it would probably go with one of the first 2. they sound opposite of each other. probably go with the first 1?

sorry if I'm wrong

Answer:

Step-by-step explanation:

Its 50% for the first one

Answer:

6:07

Step-by-step explanation:

8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.

Answer:

Step-by-step explanation:

Answer:

Solution given

99/5=19 4/5 is your quotient in mixed number.

Answer:

150 cm.

Step-by-step explanation:

There 6 squares in a cube.

**SQUARES HAVE EQUAL SIDES.**

To find the area of an individual square, multiply the side length by itself twice. (x^2)

The side lengths of the squares are 5.

5 x 5 = 25.

25 is the area of each individual square.

Since there are 6 squares in total, multiply 25 by 6.

25 x 6 = 150.

Therefore, 150 cm is the surface area of the cube.

Answer:

-8

Step-by-step explanation:

a negative number multiplied by a positive one gives as a result a negative number

-2 x 4 = -8

Answer:

Step-by-step explanation:

[tex]x^2 + 3x - 3 = 0\\a=1\,,\ \ b=3\,,\ \ c=-3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-3)}}{2\cdot1}=\dfrac{-3\pm\sqrt{9+12}}{2}=\dfrac{-3\pm\sqrt{21}}{2}\\\\x\approx0.79\quad or\quad x\approx3.79[/tex]

Answer:

b = 30

Step-by-step explanation:

The sum of the 2 angles above the line will equal the angle below the line

3b + b - 15 = 2b + 45

4b - 15 = 2b + 45 ( subtract 2b from both sides )

2b - 15 = 45 ( add 15 to both sides )

2b = 60 ( divide both sides by 2 )

b = 30

Answer:

the first one

Step-by-step explanation:

Answer:

Its d!!!!!! Welcome!

Step-by-step explanation:

The shapes that are quadrilateral drawn by the students are Ashley , Camden and Hayden

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the quadrilateral drawn by the respective students be A

Now , the value of A is

The quadrilateral drawn by Ashley has 4 sides

So , it is a quadrilateral

Now , the shape drawn by Camden also has 4 sides

So , it is a quadrilateral

And , the shape drawn by Hayden is a polygon that has 4 side

Hence , the quadrilateral are drawn by Ashley , Camden and Hayden

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

Answer:

20%

Step-by-step explanation:

3 green, 1 brown, 2 red

3 + 1 + 2 = 6

Total: 6

The probability of picking a green one is 3/6 or 1/2.

———————————————————————

2 green, 1 brown, 2 red

2 + 1 + 2 = 5

New total: 5

The probability of picking a red one is now 2/5.

———————————————————————

First, we multiply them by each other.

2/5 x 1/2 = 1/5

Next, we convert 1/5 to a percentage to get our final answer.

1/5 x 20 = 20/100, which is 20%.

So our final answer is 20%.

Answer:

wheneveryouseeanxonthe

rightputa16thatwhatf(16)

means.

f(16)=

3

1

(4−16)

2

f(16)=

3

1

(−12)

2

f(16)=

3

1

(144)

f(16)=48

[isyouranswer]

Step-by-step explanation:

mark me as brainliest.oky?

Answer:

[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]

Step-by-step explanation:

[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]

[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]

[tex]equation:[/tex]

[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]

[tex](x+2)^{2}+(y-3)^{2} =72[/tex]

-----------------------------------

hope it helps...

have a great day!!

The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The center of the circle, (h,k) = (-2,3)

The point on the circle, (x,y) = (4,-3)

The radius of the circle is

[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]

⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]

⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]

⇒ [tex]r=\sqrt{72}[/tex]

The formula of equation of circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

The circle has the center (h,k) = (-2,3) and radius is √72,

⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]

⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]

Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.

Learn more about circles here

https://brainly.com/question/27421661

#SPJ2

Answer:

2x+40=982

Step-by-step explanation:

formula 3.35 times something

The number of triangles is an illustration of Triangle Inequalities theorem

There are infinitely many triangles that can be made given two side lengths

The side lengths of two sides are given as 18 inches and 25 inches.

Assume the third side of the triangle is x

Using the Triangle Inequalities theorem, we have:

So, we have:

x +18 > 25

x > 7

x + 25 > 18

x > -7.

18 + 25 > x

x < 43.

Ignore the negative value.

So, we have the solution set to be 7 < x < 43.

This means that the third side can take any value between 7 < x < 43.

Hence, there are infinitely many triangles.

Read more about Triangle Inequalities theorem at:

https://brainly.com/question/12011543

Answer:

132.00

Step-by-step explanation:

The surface area of the composite figure is S = 706.4 feet²

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle

On simplifying , we get

2 ( area of trapezium ) = ( a + b ) x h

2 ( area of trapezium ) = ( 19 + 5 ) x 12.1

2 ( area of trapezium ) = 290.4 feet²

Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )

2 ( area of opposite rectangles ) = 224 feet²

Area of smaller rectangle = 5 x 8 = 40 feet²

Area of larger rectangle = 8 x 19 = 152 feet²

Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²

S = 706.4 feet²

Hence , the area of the figure is S = 706.4 feet²

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ2

Answer:

dont you just subtract 90-61 to get 29 since a triangle is 90 degrees

Formula for finding cylinder:

π • r

This will find the area of the Base (B)

Then you multiply by the height given.

V= π• r • h

Just plug in the numbers

Formula for a rectangular prism:

Find the length • width

This is the area or base area (B)

Then multiply by the h

V= l•w•h

Hope this helps