Sara has x dollars and Dina has 15 dollars less than Sara . Together the number

of dollars they have is?

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6x^2y − 3xy − 24xy^2 + 12y^2

Apply exponent rule:

6x^2y-3xy-24xyy+12yy

Rewrite 12 as 4*3

Rewrite -24 as 8*3

Rewrite 6 as 2*3

2*3x^2y-3xy+8*3xyy+4*3yy

Factor out common term 3y:

3y(2x^2-x-8xy+4y)

Factor 2x^2-x-8xy+4y:

3y(2x-1)(x-4y)

Your Answer Is 3y(2x-1)(x-4y)

plz mark me as brainliest if this helped :)

The factor of 6x²y − 3xy − 24xy² + 12y² is 3y(2x - 1)(x - 4y)

Given:

6x²y − 3xy − 24xy² + 12y²

find the highest common factor of all the coefficient of each term

6 = 1, 2, 3, 6

6 = 1, 2, 3, 63 = 1, 3

6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 24

6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 2412 = 1, 2, 3, 4, 6, 8, 12

The highest common factor of all the coefficient of each term is 3

So,

6x²y − 3xy − 24xy² + 12y²

= 3y(2x² - x - 8xy + 4y)

(2x² - x - 8xy + 4y) = (2x - 1)(x - 4y)

Therefore,

6x²y − 3xy − 24xy² + 12y = 3y(2x - 1)(x - 4y)

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Answer:

Model: [tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]

The dog land on the ground after 0.8706 seconds.

Step-by-step explanation:

The model that said the height of the dog above the ground is a model of uniform acceleration motion, so it is:

[tex]y = y_0+v_0t+\frac{1}{2}gt^{2}[/tex]

Where [tex]y_0[/tex] is the initial height, [tex]v_0[/tex] is the initial velocity and [tex]g[/tex] is the gravity.

So, replacing [tex]y_0[/tex] by zero, [tex]v_0[/tex] by 14 feet per second and [tex]g[/tex] by [tex]32.16 ft/s^2[/tex], we get that the model  for the height of the dog above the ground is:

[tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]

Then, the time t when the dog land on the ground is calculated replacing [tex]y[/tex] by zero and solving for t as:

[tex]y = 14t+\frac{1}{2}(32.16)t^{2}\\0 = 14t+\frac{1}{2}(32.16)t^{2}\\0 =t (14 - 16.08t)[/tex]

Now, we have two possible solutions:

[tex]t=0[/tex] or [tex]14-16.08t=0[/tex]

Taking into account that t=0 is the time when the dog leaps into air, the time when the dog land on the ground is equal to 0.8706 seconds and it is calculated as:

[tex]14-16.08t=0\\14=16.08t\\\frac{14}{16.08}=t\\t=0.8706[/tex]

Answer:

77

Step-by-step explanation:

10%=11

because you divide 110 by 10.

Then i would multiply that by 3, giving you 33

110-33=77

The sale price of an item normally priced at £110 is £77.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that all items are reduced by 30% on a sale.

An item that normally priced at £110 reduced by 30%.

So, 30 percentage of £110

= 30% of £110

= 110×30/100

= 3300/100

= 33.

Therefore, the sale price of an item normally priced at £110 is £77.

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Answer:

13.5 rounding

Step-by-step explanation:

PEMDAS

-128/2=-64

-64/42=-1.5

-12-1.5=13.5

Answer:$90,000

Step-by-step explanation:

3,000*30=90,000

Answer: 90k

Step-by-step explanation:

3k per day x 30 days

Answer:

x = 2 +  √ 42 ,  2  −  √ 42

Decimal Form:

x = 8.48074069 ,  − 4.48074069

Step-by-step explanation:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Answer:

B is correct ;)

Step-by-step explanation:

i just did it haha

The option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².

A function is defined as a relationship between a set of inputs that each have one output.

Notice that the function g(x) passes through the point (2,1). So, the functional value of g(x) at x = 2, i.e. g(2) = 1.

Check which option match this criterion.

Now, for option A,

g(x) = (1/2)x²

and g(2) = (1/2)×2² = (1/2)×4 = 4/2 = 2 ≠ 1

So, option A is incorrect.

For option B,

g(x) = ((1/2)x)²

and g(2) = ((1/2)×2)² = (2/2)² = 1² = 1

So, option B is correct.

Therefore option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².

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Answer:

width of the building = 30 feet

Length of the building = 55 feet

Step-by-step explanation:

On blue print:

Width = 3 inches, length = 5.5 inches

scale factor = 10 inches

Therefore, actual dimensions of the building would be as given below:

width of the building = 3 * 10 = 30 feet

Length of the building = 5.5 * 10 = 55 feet

Answer:

[tex]n=-4.5m[/tex]

Step-by-step explanation:

solve for n so that m becomes the independent variable

[tex]-2m-5n=7m-3n[/tex]

[tex]-5n=9m-3n[/tex]

[tex]-2n=9m[/tex]

[tex]n=-4.5m[/tex]

Answer:

304 pi in ^2

Step-by-step explanation:

The surface area of a cylinder is given by

SA  = 2 pi r^2 + 2 pi rh  where r is the radius and h is the height

SA = 2 * pi * 8^2 + 2 * pi * 8 * 11

SA = 128 pi + 176 pi

SA =304 pi

Answer: 304 pi

Step-by-step explanation:

Hi!

I'm happy to help you today!

You would have 25 Dimes and 1 nickel!

This is because

1 Dime = 10 Cent's

1 Nickel = 5 Cent's

So if you add them up like so, you get the amount of $ 2.55!

-LimitedLegxnd

-If you are happy with my answer make sure to hit that heart! Also to show others how helpful my answer is rate my by clicking the stars!

Answer:

Step-by-step explanation:

3a - 5 = -4b + 1

3a = -4b + 6

a = (-4b + 6)/3

h(a) = (-4b + 6)/3

Answer:

h(a) = [tex]\frac{6-3a}{4}[/tex]

Step-by-step explanation:

Given

3a - 5 = - 4b + 1

Rearrange making b the subject

Add 4b to both sides

4b + 3a - 5 = 1 ( add 5 to both sides )

4b + 3a = 6 ( subtract 3a from both sides )

4b = 6 - 3a ( divide both sides by 4 )

b = [tex]\frac{6-3a}{4}[/tex] , thus

h(a) = [tex]\frac{6-3a}{4}[/tex]

-6x-32/5=14 because the 32 has nothing to do with the problem the correct answer is -35/4, -30/5

Answer:

(a) 12π in

(b) 53.5 in

(c) 96 grams

Step-by-step explanation:

In the figure attached, the ornament is shown

(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.

Perimeter of each circle: 2*π*r

The radius is 2 in long, then for 3 circles:

Perimeter = 3*2*π*2 = 12π in

(b) Perimeter of square: 4*side length

The side length of the square is 4 in, then:

Total length of wire needed = 4*4 + 12π = 53.5 in

(c) The wire weighs 1.8 grams per inch, then:

total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams

Answer:

b = 36

Step-by-step explanation:

perfect square: a² -  2ac + c²

4x²- bx + 81 = (2x)² - bx + 9² = (2x)² - 2*(2x)*(9) +9²= (2x)² - 36x +9²,

so b = 36

Answer:

60

Step-by-step explanation:

!

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2        

    Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

     = 4 so the semicircle area is

    (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

   First of all, angle ACB is a right angle ( i.e. 90 degrees).

     * This is the Theorem of Thales from elementary Plane Geometry. *

  so by Pythagoras

    AC^2 + BC^2 = AB^2

 But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

 Substituting these in Pythagoras gives

    AC^2 + 4^2 = 8^2 or

    AC^2 = 8^2 - 4^2- = 64 - 16 = 48

    Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

   (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

Answer:

1. Doncastle

2. Olly

3.

4. thousand

5. 123

231

321

213

132

213

6. 3.45

Step-by-step explanation:

I hope my answer was the brainliest

Answer:

1) Doncastle

2) Olly

3) 2, 9.5, 15, 17, 18, 21, 22

4) 7000

5) 123, 132, 231, 321, 213, 312

6) 3.45

Answer:

3,200,000,000,000,000,000,000,000

Step-by-step explanation:

(11 × [tex]10^{11}[/tex])(12×[tex]10^{12}[/tex])

(11 × 100,000,000,000)(12×1,000,000,000,000)

(1,100,000,000,000)(12,000,000,000,000)

3,200,000,000,000,000,000,000,000

Answer:

3,200,000,000,000,000,000,000,000

Step-by-step explanation:

(11 × )(12×)

(11 × 100,000,000,000)(12×1,000,000,000,000)

(1,100,000,000,000)(12,000,000,000,000)

3,200,000,000,000,000,000,000,000

Answer:11/36

Step-by-step explanation:there are 36 shirts in total and only 11. So you have an 11/36 chance

Answer:

A. Opaque materials

B. Transparent materials

C. Translucent and Opaque materials

D. Transparent and Translucent materials

Answer:

17

Step-by-step explanation:

I got this right on a test i did 4 days ago

Answer:

a) 48

b)

c) 13, 23, 43,

Step-by-step explanation:

since i helped you with a and c, try and figure out b on your own.

i will give you a link if you want it so you can watch a video on how to find square numbers

Answer:

a) 48

b) 81

c) 13, 23, 43

Step-by-step explanation:

[tex]\sqrt{81} =9[/tex]

Answer:

72,80,80,86,88,92,94,98,100

Step-by-step explanation:

Answer:

72,80,80,86,88,92,94,98,100

Step-by-step explanation:

72,80,80,86,88,92,94,98,100

The answer is above.

Least to greatest in order

Hope this helps.

Answer:

Reflection over the y axis

Step-by-step explanation:

You can picture this graph on a piece of paper.  If you fold the paper over the y axis/ the line in the middle, T would map onto T', S onto S' and R onto R'.  This is a reflection

Answer: 6% per year

Step-by-step explanation:

SI = PRT / 100

18 = (200 x r x 1.5)/ 100

The formula for the volume of a sphere is given by

V = (4/3)πr3

Since the radius is 7 cm, let's substitute that in:

V = (4/3)(3.14)(7 cm)3

V = 1436.755 cm3 = 1437 cm3, rounding to the nearest whole unit as requested.

Answer: The volume is about 1436.01

Step-by-step explanation:

so since a snowball is like a sphere we would use the sphere formula to calculate the volume of the snowball.

Formula of a sphere ; 4/3*π * r^3

v= 4/3 * 3.14 * 343

v= 1435.01

Answer:

Drawing out the quadrants cos of an angle is negative in the third quadrant. Your drawing should indicate that x and y are negative. Then since we  are working with a right triangle, again your diagram should indicate that. Determine the value of the third side. You know one is - 6 and the other opposite the 90 degree angle, the hypotenuse is 10.   cos of an angle is adjacent divided by the hypotenuse.

I hope this helps if it did not help use this

cosine is negative in Quadrant III.

Use a pythagorean theorem to find the other leg.  a2 = c2 - b2

adjacent leg = √(102 - 82)

cos θ = -6/10

Answer:

The approximate volume of the tube  is 1,005 cm³

Step-by-step explanation:

To find the volume of the tube, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylindrical cardboard tube

from the question given, height is equal to 20 centimeters    and             diameter = 8 centimeters  but diameter = 2r, this implies that r = d/2   hence radius r =8/2 = 4 centimeters

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

volume of a cylinder = πr²h

                                 ≈ 3.14 × 4²× 20

                                   =3.14 × 16× 20

                                    ≈1,005 cm³ to the nearest whole cubic centimeter.

The approximate volume of the tube  is 1,005 cm³

Answer:

A

Step-by-step explanation:

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