reduce 287/861 to the simplest term in fractions

Answer: [tex]6x^2-2x+4[/tex]

Step-by-step explanation:

Given

The length of a rectangle is given by

[tex]l=2x^2-5x+5[/tex]

and the breadth is given by

[tex]w=x^2+4x-3[/tex]

Perimeter is the sum of the sides of rectangle

[tex]\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4[/tex]

Thus, the perimeter is given by [tex]6x^2-2x+4[/tex].

Answer:420

Step-by-step explanation:

600 x 0.70 is 420. so 600 minus 420 is 180

Answer:

just plot the coordinates down on graph and then u'll have them graphed

Step-by-step explanation:

I don't know I'm too lazy 2 put an explanation

Answer:

NO = 10

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then it is half the length of the third side, that is

18 - 2x = [tex]\frac{1}{2}[/tex] (9x - 16) ( multiply both sides by 2 to clear the fraction )

36 - 4x = 9x - 16 ( add 4x to both sides )

36 = 13x - 16 ( add 16 to both sides )

52 = 13x ( divide both sides by 13 )

4 = x

Then

NO = 18 - 2x = 18 - 2(4) = 18 - 8 = 10

Answer:

Amount A get = 2,575

Total amount = 5,150

Step-by-step explanation:

Given:

Ratio between A,B and C = 10:6:4

Assume;

Common ration is 'a'

So,

Amount A get = 10a

Amount B get = 6a

Amount C get = 4a

So,

Amount B get - Amount C get = 515

6a - 4a = 515

2a = 515

a = 257.5

Total amount = 10a + 6a + 4a

Total amount = 20a

Total amount = 20(257.5)

Total amount = 5,150

Amount A get = 10a

Amount A get = 10(257.5)

Amount A get = 2,575

Answe545r:

45454

Step-by-step explanation:

Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself

Step-by-step explanation:

Lolol

Answer:  4.3 cm

Step-by-step explanation:

Leroy's rectangle's width is 7.6 cm in length and the length of the triangle is 11.9 cm.

The length is therefore longer than the width and the difference is:

= Length - Width

= 11.9 - 7.6

= 4.3 cm

Answer:

48

Step-by-step explanation:

The blank would be 48 because 3 times 4 is 12. 12 times 4 is 48. And 48 times 4 would be 192

Answer:

[tex]gross \ pay = 4200\\\\federal \ deduction = \frac{16.05}{100} \times 4200 = 674.10\\\\Net \ pay = 4200 - 674.10 -321.30= 3204.60[/tex]

Answer:

nfdsBFS>BFBms?FBsbn

Step-by-step explanation:vkhgv

SFsASFWWFmreweebwfjfeWBEfeb

Answer:

7 hours

Step-by-step explanation:

Rental cost :

Fixed pay = $20

Hourly cost = 2.65

To obtain the minimum rental hour, we work with the least amount that can be spent ;

For tourist that can spend more than $37 but less than $65

Total cost of rental :

20 + 2.65h ; h = number of hours

When total cost > 37

20 + 2.65h > 37

2.65h > 37 - 20

2.65h > 17

h > 6.415

Hence, the minimum whole hour of bicycke rental is 7 hours

Answer: X=6  Y=4

x+y= 10

6+4=10

 x-y=2

6-4=2

Answer:

x=6

y=4

Step-by-step explanation:

Use an elimination method:

add equation 1 and 2 together.

2x = 12

divide both side by 2

x = 12/2

x = 6

use equal 1,

x + y = 10

y = 10 - x

y = 10 - 6

y = 4

Answer:

See explanation

Step-by-step explanation:

The question is incomplete; So, I will solve the question generally.

Assume the following;

[tex]l \to length[/tex]

[tex]w \to width[/tex]

[tex]h \to height[/tex]

Since the water level must be 2 inches below the tank height, the water height is:

[tex]H \to h - 2[/tex]

So, the water volume is:

[tex]Volume = l * w * H[/tex]

[tex]Volume = l * w * (h - 2)[/tex]

Hence, the expression is:

[tex]Volume = l * w * (h - 2)[/tex]

Assume that:

[tex]l = 5; w = 10; h = 8[/tex]

The volume becomes:

[tex]Volume = 5 * 10 * (8 - 2)[/tex]

[tex]Volume = 5 * 10 * 6[/tex]

[tex]Volume = 300[/tex] cubic units

Answer:

y = 3/4x + 2

Step-by-step explanation:

By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.

(3/4 = 0.75 if decimal is needed)

Answer:

B: as they enter a music store

Step-by-step explanation:

b is in a music store where you find people who enjoy music, but have diverse tastes.

in a classical choir recital, your results will be biased because a majority of the people there enjoy classical choir music the most.

The number of personal trips for leisure travel will be equal to 1.5 billion.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that out of 2 billion person trips, 75 per cent were leisure travel.

The number of the person trips will be calculated as,

N = ( 2 x 75 ) / 100

N = 150 / 100

N  = 1.5 Billion

Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.

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Answer:

84/3=28

Alex earns $28 a week mowing lawns.

Answer:

He earns 28 dollars per week mowing lawns

Step-by-step explanation:

Wow Alex should get a higher paying job lol

You add half of the coefficient of x and square it.

What you do on one side,you must do it on the other.

Answer:

55

Step-by-step explanation:

the real answer would be 54.25 but you have to round

Step-by-step explanation:

434/8= 54.25

We can't have a decimal of a box, so,

55 boxes

All answer choices are equivalent

All the expressions given in option is equivalent to the expression

([tex]10^{t^{2}+2t-3 }[/tex])

An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.

Given is an expression, ([tex]10^{t^{2}+2t-3 }[/tex])

We know, when equal base get multiplied with different powers, the power get added and in case of division they get subtracted,

([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex]

[tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex]

When we factorize, t²+2t-3, we get,

t²+2t-3 = (t+3)(t-1)

Therefore, ([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex] = [tex]10^{(t+3)(t-1)}[/tex]

Hence, we can say that, All the expressions given in option is equivalent to the expression ([tex]10^{t^{2}+2t-3 }[/tex])

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Answer:

4pi or 12.57

Step-by-step explanation:

Area = pi * radius^2

Area = pi * 2^2

Area = pi * 4

Area = 4pi or 12.57

Answer:

Hello There!!

Step-by-step explanation:

Combine like terms:

•5t+8t-12t

•5t+8t=13t

•13t-12t=1t

•1t=t

hope this helps,have a great day!!

~Pinky~

Answer:

T

Step-by-step explanation:

See the steps below:)

Answer:

96 squared units

Step-by-step explanation:

Please find attached the diagram used in answering this question

The surface area is equal to the area of each shape

Area of a triangle = Area of a triangle = 1/2 x ( base x height)

1/2 x 2 x 3= 3

there are 4 triangles, area of both triangles = 3x4 = 12

Area of rectangle = length x width

Area of middle rectangle = 6 x 7 = 42

Area of two side rectangles = (3 +3) x 7 = 42

surface area = 42 + 42 + 12 = 96

Answer:

Step-by-step explanation:

Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:

[tex]x\sqrt{3}=18[/tex] and

[tex]x=\frac{18}{\sqrt{3} }[/tex] and rationalizing the denominator,

[tex]x=\frac{18}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} }=\frac{18\sqrt{3} }{3}=6\sqrt{3}[/tex]

This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get

12√3, the third choice down.

Answer:

y=25x+150

Step-by-step explanation:

The slope is 25 and the y-intercept is 150.

Hope this helps.

Answer:

2.) 56

Step-by-step explanation:

(5 x 4) ÷ 2 = 10

10 x 4 = 40

4 x 4 = 16

40 + 16 = 56