Earth is 149 597 890 km from the sun. Pluto is about 39.5 times farther away from the sun than earth. how far is pluto from the sun? round your answer to three digits and express it in scientific notation.

Answer:

Step-by-step explanation:

Perimeter of the rectangular flour = 2(Length+Width)

P = 2(L+W)... 1

If if the length is 2 less than three times the width, then L = 3W - 2.... 2

Substitute equation 2 into 1;

P =2(3W-2+W)

68 = 2(4W-2)

68 = 8W-4

8W = 68+4

8W = 72

W = 72/8

W = 9 feet

Since L = 3W-2

L = 3(9)-2

L = 27-2

L = 25

The length is 25ft and the width is 9ft

Answer:

x=14

Step-by-step explanation:

4x +15 =71

4x =71 - 15

4x =56

x=56 :4

x=14

4 ×14 +15 =71

56 +15 =71

71 =71

Answer: X=14

Step-by-step explanation: Plug 14 in for x. 4*14 equals 56. 56+15 equals 71. and 71=71.

Step-by-step explanation:

m=-2

y+5=2(x-6)

y+5=2x-12

y=2x-17

Answer:

Step-by-step explanation:

2y = x + 11

y = 1/2x + 11/2

perp. -2

y + 5 = -2(x - 6)

y + 5 = -2x + 12

y = -2x + 7

Answer:

$7,000

Step-by-step explanation:

Let [tex]x[/tex] equal the original price.

[tex]12,000+2000=2x[/tex]

Combine like terms.

[tex]14,000=2x[/tex]

Divide by the coefficient of [tex]x[/tex], which in this case is [tex]2.[/tex]

[tex]7,000=x[/tex]

If you like the variable on the left, rewrite:

[tex]x=7,000[/tex]

Answer:

Option (C)

Step-by-step explanation:

From the map attached,

Area of the rectangular yard = length × width

Length of the yard = 10 units

Width of the yard = 8 units

Area = 10 × 8

        = 80 square yards

Since, pool is a composite figure of two rectangles,

Therefore, area of the pool = Area of large segment + Area of the small pool

= (5 × 6) + (3 × 3)

= 30 + 9

= 39 square units

Ratio of Area of the pool and area of yard = [tex]\frac{39}{80}[/tex]

Therefore, Option (C) will be the answer.  

Step-by-step explanation:

Let's say c is the price of cinnamon tea, and s is the price of spice tea.

10c + 2s = 13

16c + 8s = 28

Divide the second equation by 4:

4c + 2s = 7

Subtract from the first equation:

6c = 6

c = 1

Use any equation to find s.

s = 1.5

Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Because no matter what value x is, y is always 4

Answer:

y = (13/6)(b - 12)

Step-by-step explanation:

b = 6/13 y + 12

Subtract 12 from both sides.

b - 12 = 6/13 y

Multiply both sides by 13/6.

(13/6)(b - 12) = y

y = (13/6)(b - 12)

Answer: 75/7

Step-by-step explanation:

Concept:

Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.

Solve:

1 7/8= 15/8

 1 7/8 × 10/7 × 4

=15/8 × 10/7 × 4

=150/56 × 4

=600/56

Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals

Answer:

Answer option "A" : line.

Step-by-step explanation:

The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.

Therefore the answer option "A" is the correct one.

Answer:

Step-by-step explanation:

Add x to both sides.

70 +x = 8

Subtract 70 from both sides.

x = 8 - 70

x = - 62

None of the answers fit.

Answer:

Divisor

Step-by-step explanation:

Answer:

A. x = 1/2at²

Step-by-step explanation:

Among the equations, the equation that is dimensionally consistent is x=1/2at² where;

x is the distance in meters (dimension is length (L))

a is the acceleration in m/s² (dimension is L/T²)

t is the time in seconds (s) (dimension of time is T)

Substituting the dimensions into the formula to check if we are going to arrive at the dimension for distance;

1/2at² = 1/2(L/T²)T²

= 1/2× L/T² × T²

= 1/2 × L

Since L which is the resulting dimension is the dimension for distance (x), this means that the equation x = 1/2at² is dimensionally consistent.

Answer:

6 3/10.

Step-by-step explanation:

4 1/5 = 21/5

21/5 / 2/3

=21/5 * 3/2

= 63/ 10

=  6 3/10.

Answer:

11/1000

Step-by-step explanation:

and did not copy i swear

Answer:

11/1000 or 10/500

Step-by-step explanation:

Answer:

~966 apartments

Step-by-step explanation:

[tex]\frac{1044}{1.081}[/tex]

Answer:

[tex]x=\frac{c-b}{a}[/tex]

Step-by-step explanation:

[tex]ax+b=c\\\\ax+b-b=c-b\\\\ax=c-b\\\\\frac{1}{a}(ax)=\frac{1}{a}(c-b) \\\\x=\frac{c-b}{a}[/tex]

Answer: x=y/(3b-7)

Step-by-step explanation:

To solve for v, you want to use algebraic properties to isolate x.

y=3bx-7x                [factor out x]

y=x(3b-7)                [divide both sides by 3b-7]

x=y/(3b-7)

Now, we know that x=y/(3b-7).

Answer:

3bx -7x = y

or, x(3b -7) = y

or, x= y/(3b -7)

Answer:

1 and 8 , and 4 and 8 are congruent

The rest are supplementary

Step-by-step explanation:

Answer:

11) [tex]2x=-4[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]

[tex]x=-2[/tex]

12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]

([tex]2^4=16)[/tex] if you wanted the exact value.

13) [tex]-3+10=x[/tex]

Switch sides:

[tex]x=-3+10[/tex]

Rearrange:

[tex]x=10-3[/tex]

[tex]x=7[/tex]

14) [tex]10^2-64[/tex]

[tex]10*10-64[/tex]

[tex]100-64[/tex]

[tex]36[/tex]

15) [tex]\sqrt{100}-5^2[/tex]

[tex]10-5^2[/tex]

[tex]10-5*5[/tex]

[tex]10-25[/tex]

[tex]-15[/tex]

16) [tex]\frac{1}{4}x=-10[/tex]

Multiply both sides by 4:

[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]

[tex]x=-40[/tex]

17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]

[tex](2^6=64)[/tex] if you wanted the exact value.

18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]

[tex](2^5=32)[/tex] if you wanted the exact value.

Bonus Question:

Terrorist attacks took place against the United States in September 11 2001.

This is named "September 11 attacks" and you can search more about it online.

Answer:

10. x = -2

12. 16

13. x = 7

14. 36

15. -15

16.  x = -40

17. 64

18. 32

Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.

Step-by-step explanation:

Answer:

Answer:answer is 6.5

Answer:

[tex]Rate = \$1.76/kg[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{16}kg[/tex] of nails costs [tex]\$ \frac{11}{100}[/tex]

Required

Determine the rate

The rate, in this case, will be calculated as:

[tex]Rate = \frac{amount}{weight}[/tex]

[tex]Rate = \frac{\frac{11}{100}}{\frac{1}{16}}[/tex]

This gives

[tex]Rate = \frac{11}{100}/\frac{1}{16}[/tex]

[tex]Rate = \frac{11}{100} * 16[/tex]

[tex]Rate = \frac{176}{100}[/tex]

[tex]Rate = \$1.76/kg[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

of nails costs

Required

Determine the rate

The rate, in this case, will be calculated as:

This gives

Step-by-step explanation:

Answer:

Given circumference (C) = 16

Radius =  

C  =  

2π

2.5464790894703

Diameter =  

C  =  

π

5.0929581789407

Area =  

C2  =  

4π

20.371832715763

Step-by-step explanation:

We've all seen circles before. They have this perfectly round shape.

Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.

Answer:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

A.) Cuberoot of 2

B.) (m-3)^ 1/2

C.) Cuberoot of 2² or simple Cuberoot of 4

D.) m^1/2 - 3

E.) Squaroot of 2

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Step 1: Write equation

-6(3 + x) + 2(3x + 5) = 0

Step 2: Solve for x

Distribute: -18 - 6x + 6x + 10 = 0

Combine like terms: -8 ≠ 0

∴ No solution

No answer

Step-by-step explanation:

-6(3+x) Multiply -6 by 3=-18. -18+-6x     2(3x+5) 6x+10

(-18+-6x) + (10+6x) = (-8 = 0).