express the following quantities as ordinary decimal numbers:

The wavelength of light is 9 x 10-7m​

Answer:

3:1

8:5

Step-by-step explanation:

Answer:

637, 245

Step-by-step explanation:

Speed is the rate of change in the position of an object. The distance between the two snakes after 10 mins is 15 inches.

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 3 mins}= \rm speed \times \rm time[/tex]

                                                        [tex]= 1.5 \times 3\ mins\\= 4.5\ inches[/tex]

Thus, the distance between the two snakes after 3 mins is 4.5 inches.

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 10 mins}= \rm speed \times \rm time[/tex]

                                                          [tex]= 1.5 \times 10\ mins\\= 15\ inches[/tex]

Thus, the distance between the two snakes after 10 mins is 15 inches.

Learn more about Speed, distance, and Time:

https://brainly.com/question/15100898

Answer:

7

Step-by-step explanation:

66+(4x-4)=90

66+4x-4=90

62+4x. =90

4x. =28

x. =7

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

Answer:

18

Step-by-step explanation:

Answer:

C 80in^2

Step-by-step explanation:

Multiply 12*3*2 for the area of both sides of the H to get 72

For the middle multiply 2*4 to get 8

72+8=80

Answer:

attached

Step-by-step explanation:

draw line pass (-12,0) and (0,3), solution is the shaded part

Answer:

C. (x+9)(x-7)

Step-by-step explanation:

(x*x)=x^2

(9*x)=9x

(-7*x)= -7x

(9*-7)= -63

x^2+9x-7x-63 = x^2+2x-63

Answer:

x=0

Step-by-step explanation:

1/2(40+2x)=20

20+x=20

x=0

(I believe that s is the bisector, please correct me if I am wrong)

Answer: Half

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

180-113=67

67-42 = 25

Answer:

Please put the rest of the answer

Step-by-step explanation:

Answer: 7?

Step-by-step explanation:

Answer:

A. 39%

Step-by-step explanation:

(125-90)/(90)=(35)/(90)=0.3889 or 39%

To find the percent increase, we need to divide the amount of change by the original amount.

Answer:

I believe it's B correct me if I'm wrong

Answer:

C.    51.75 km2, 68.75 km2

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Step-by-step explanation:

equation of line formula:

[tex]y = mx + c[/tex]

m = slope

c = y-intercept

1) find m

slope formula:

[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

take 2 coordinates from the given graph and substitute the values into the slope formula

i) (-1,0)

[tex]x _{1} = - 1[/tex]

[tex]y_{1} = 0[/tex]

ii) (3,2)

[tex]x_{2} = 3[/tex]

[tex]y_{2} = 2[/tex]

substitute the values into the slope formula

[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]

[tex]m = \frac{2}{4} [/tex]

[tex]m = \frac{1}{2} [/tex]

2) find the half equation of the line by substituting the value of m into the equation of line formula

[tex]y = \frac{1}{2} x + c[/tex]

3) find c by substituting either coordinate into the half equation

(3,2)

x = 3

y = 2

[tex]2 = \frac{1}{2} (3) + c[/tex]

[tex]2 = \frac{3}{2} + c[/tex]

[tex]2 - \frac{3}{2} = c[/tex]

[tex] \frac{1}{2} = c [/tex]

[tex]c = \frac{1}{2} [/tex]

4) find equation of line by substituting the value of c into the half equation

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]

Substitute the given value of x into the equation 5x + 8y = -1

5(-5/3+4/3y)+8y=-1

Solve the equation for Y

y=-1/2

Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y

x=-5/3+4/3×1/2

Solve the equation for X

x=-1

The system solution is the computer pair

(x,y)=(-1,1/2)

Check if the ordered pair given to the solution of the system of equations

[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]

Simplify the equations

[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)

Answer:

x=2

Step-by-step explanation:

Answer:

y= 11 + 1.50x. (y is the price, x is number of toppings)

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

56*56 = 3136

42*42 = 1764

3136+1764 = 4900

4900 squared is 70

Answer:

29.9

Step-by-step explanation:

29.9 rounded to the nearest 10 is 30

Answer:

4

Step-by-step explanation:

Answer:

Given triangles are similar

[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]

Answer:

9 is the correct answer all the best

Step-by-step explanation:

(x + 0.5)/6 = 19/12

2(x + 0.5) = 19 (multiply 12 on both sides)

x + 0.5 = 9.5 (divide 2 on both sides)

x = 9 (subtract 0.5 on both sides)

The answer is 9.

Answer:

s=4.75

Step-by-step explanation:

Just substitute the given variable values into the original equation

s=10•½+½•-2•½²

s=5+-1•¼

s=5+-¼

s=-4.75