The distance between City A and City B is 250 miles. A length of 1.6 feet represents this distance on a
certain wall map. City C and City D are 2.24 feet apart on this map. What is the actual distance
between City C and City D?

The actual distance between City C and City D is ? miles

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]

[tex]\sf and \:(6,4) [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends

[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]

We will find distance between points by distance formula-

[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]

Here-

Putting Values:-

[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]

[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]

[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]

Answer:

y = -5x - 1

Step-by-step explanation:

To find the function rule:

We use the equation "y = mx + b"

Function rule: What we need to do to "x" to get "y"

Look at the x-values. You need to know if they are going up by one or if they are skipping.  In this case, they are going up by one.

Next, look at the y-values and see how they are changing. The y-values in this table are going down by 5 every time, which means we will multiply each "x" by "-5".

After that, pick the first 'x" in the table and multiply it by "-5", then figure out what you need to do to make it equal the y-value.

You need to subtract 1. This means the rule is "y = -5x - 1"

To check if this is correct, we do the following:

y = -5x - 1

Substitute the first x and y values into the equation

9 = -5(-2) - 1

Multiply -5 and -2

9 = 10 - 1

Subtract 1 from 10

9 = 9

True

Let's check the second equation

y = -5x - 1

Substitute the x and y values in the second column of the table

4 = -5(-1) - 1

Multiply -5 and -1

4 = 5 - 1

Subtract 1 from 5

4 = 4

True

So, the function rule "y = -5x - 1" is true

Answer:

18

Step-by-step explanation:

12 / 4 = 3

4.5 / 1.5 = 3

6.75 / 2.25 = 3

in conc we can see that 3 is most obviously the "scale factor" (id/k what else to call it)

6 x 3 = 18

Answer:

D) $18

Step-by-step explanation:

12 / 4 = 3

4.50 / 1.5 = 3

6.75 / 2.25 = 3

6 x 3 = $18

Answer is on the picture

Answer:

Step-by-step explanation:

Answer:

There is a 55% chance that it won't rain.

Answer:

3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.

6pm - 6hours = 12pm

(Noon) 12 pm - 3 hours =9 am, then 45 min

9am - 45 min

8:15 am

Answer:

66.67

Step-by-step explanation:

So if 69 is 100 percentage then we need to know; x. so x% is 46 then you turn that information into this equation.  100%/x%=69/49 so then you can solve that x is 66.67. So It is 66.67%

Answer:

I think it is dividing the numbers by 2

B / 2 siblings

Step-by-step explanation:

edge 22 , hope it helped

The mean number of siblings for the population rounded to the nearest unit is 2.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Gien data is:-

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

The mean will be calculated as:-

Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12

Mean  = 21  /  12

Mean = 1.75

Mean = 2

Therefore the mean number of siblings for the population rounded to the nearest unit is 2.

To know more about mean follow

https://brainly.com/question/968894

#SPJ2

Answer: 38

Step-by-step explanation:

Step 1: use variables to replace the two numbers

the second number = x

six more than twice the second number = 2x + 6

Their sum is 120: 3x + 6 = 120

Step 2: solve the equation

3x = 114

x = 114/3 = 38

Step 3: check your answer (optional)

six more than twice 38 = 82

38 + 82 = 120

hope this helps

Hello.

We have a point that the line passes through and its slope.

Let's write the equation in Point-Slope Form:

y-y₁=m(x-x₁)

In this case,

y₁=2

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

x₁=4

Plug in the values:

[tex]\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}[/tex]

This is point-slope form. Now, what about Slope-Intercept?

First, we should distribute [tex]\displaystyle\frac{1}{2}[/tex]:

[tex]\mathrm{y-2=\displaystyle\frac{1}{2} x-2}[/tex]

Add 2 to both sides:

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

Simplify:

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

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + b

here, m is the slope and b is the y-intercept.

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

The line passes through the point(4,2)

.Plugin these x ad y values in the above equation to find 'b'

[tex]2= \dfrac{1}{2}*4+b\\\\\\2=2+b\\\\b = 2 - 2[/tex]

b = 0

Equation of the line :

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

The arrangement of the total point is an illustration of combination

There are 162 different arrangements of talent points

The number of points is:

Points = 9

The number of talents is:

Talents = 18

So, the number (n) of arrangement is:

n = 9 * 18

This gives

n = 162

Hence, there are 162 different arrangements of talent points

Read more about combination at:

https://brainly.com/question/12468032

Answer:

D

Step-by-step explanation:

There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)

Answer:

(B) 0.9688

Step-by-step explanation:

mark me brainliest!!

Answer:

0.6 multiply by 5250

its 3168

The Conversion of 0.6 miles is equal to 3,168 feet.

To convert 0.6 miles to feet, we need to use the conversion factor that 1 mile is equal to 5,280 feet.

As, 1 mile= 5280 feet

So, we can multiply 0.6 miles by the conversion factor:

= 0.6 miles x 5,280 feet/mile

= 3,168 feet

Therefore, 0.6 miles is equal to 3,168 feet.

Learn more about Unit Conversion here:

https://brainly.com/question/14523259

#SPJ6

Answer:

0.18km

Step-by-step explanation:

Lateral Surface Area = 2πrh

= 2 × 22 × 21 × 75

7

= 9900m^2

Area taken by revolution = 9900 × 800

= 7920000m^2

= 7.92 km^2

breadth = 7.92km^2 ÷ 44

= 0.18km

Answer:

um. there are no yellow.

Step-by-step explanation:

The number of days for both Companies to have the same total amount is

6.4 days

Given Data

Company A

y = 57x+ 32 -----------------1

Company B

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

https://brainly.com/question/13818690

Answer:

x = 8

each side is 74

Step-by-step explanation:

set two sides equal to each other

see image

Answer:

9

Step-by-step explanation:

Solution:

Note that:

Finding Maggie's age:

Finding Justin's age:

Let Justin's age be x

Let Maggie's age be y

[tex] \pmb {x = 10 + y} \\ \pmb{x-4=3(y-4)}[/tex]

Solve using the substitution method!!

[tex] \pmb{10 + y - 4 = 3(y - 4)}[/tex]

[tex] \sf 6 + y = 3y - 12[/tex]

[tex] \sf y - 3y =- 12 - 6[/tex]

[tex] \sf - 2y =- 18 [/tex]

[tex] \sf y =9[/tex]

Substitute the value of y into the first equation

[tex] \pmb{x= 10 + y} \\ \pmb{x = 10 + 9} \\ \pmb{x = 19}[/tex]

Thus, Maggie's age is 9 and Justin's age is 19...~

Answer:

what is the question?

Step-by-step explanation:

First 14% of 16$

[tex]\\ \rm{:}\dashrightarrow 0.14(16)=2.24[/tex]

New wage:-

Answer:

The total number of 3-digit numbers that can be formed = 2 × 2 × 2 = 8

1. 444

2. 445

3. 454

4. 455

5. 544

6. 545

7. 554

8. 555

Sum of all these numbers: 3,996

Answer:

1.9453125 = 1.945

Step-by-step explanation:

Divide 747 by 384

Answer is 1.9453125

Look at the number to the right of the thousandths place.  

Its 3.

3 is less than 5

drop the 3 and all numbers after.

Answer:

False

Step-by-step explanation:

8^3=512

512 divded by 2=256

256=250

This is false.

Hence this equation is false

Answer:

False

Step-by-step explanation:

Given the following question:

[tex]8^3[/tex]

To find if the solution is true, we must first convert the exponent into a whole number by multiplying three by itself, three times since three is the exponent.

[tex]8^3[/tex]
[tex]8^3=8\times8\times8[/tex]
[tex]8\times8=64[/tex]
[tex]64\times8=512[/tex]

Now divide:
[tex]512[/tex]
[tex]512\div2=256[/tex]
[tex]=256[/tex]

Which means the following statement 8^3 divided by 2 = 250 is indeed "false."

Hope this helps.

Answer:

$41 cents

Step-by-step explanation:

$8 divided by $3.35 equals $0.41 cents

Answer:

D'(2,0), E'(3,3), F'(6,4)

Step-by-step explanation:

The matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that, the coordinates of ΔDEF will be D(3, −2), E(4, 1), and F(7, 2).

For a translation 1 unit right and 2 units down we got the coordinates as D'(2,0), E'(3,3), and F'(6,4).

Thus, the matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Answer:

x = mp - np

Step-by-step explanation:

Step 1: Multiply both sides by p.

Step 2: Subtract np from both sides.

answer 7.5 I hope was not too late