Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be

Answer: 1.C 2.B

Step-by-step explanation:

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Answer:

[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{4-1}{5--2}[/tex] =

[tex]\frac{4-1}{5+2}[/tex] =

[tex]\frac{3}{7}[/tex]

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Answer:

Its Going to be -4

Step-by-step explanation:

Answer:

The mean absolute deviation of the data set is 2.5

Step-by-step explanation:

We need to find mean absolute deviation of the data set:

10,8,10,6,6,2,10,4

First we will find mean of the given data set.

The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]

Sum of all data = 10+8+10+6+6+2+10+4 = 56

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]

Now, we will calculate the absolute difference between mean and each data value.

|10-7| = 3

|8-7| = 1

|10-7| = 3

|6-7| = |-1| = 1

|6-7| = |-1| = 1

|2-7| = |-5| = 5

|10-7| = 3

|4-7| = |-3| = 3

Now, we will find mean of 3,1,3,1,1,5,3,3

Sum of all data = 3+1+3+1+1+5+3+3 = 20

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]

So, the mean absolute deviation of the data set is 2.5

Answer:

c I guess tell me if I am wrong yall

Answer:  

The Original Number is 36 :)

explanation:

Answer:

-2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D is the right answer for the question

Answer:

Sam is right.

Step-by-step explanation:

Key skills needed: Fraction Modelling, Fraction Division

1) We are given this problem --> [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex]

2) This means we need to find how many [tex]\frac{1}{4}[/tex]'s are in 6.

3) There are 2 ways to approach this problem

        1. The first way is via using the fractional division properties:

Let's say we are given a problem --> [tex]a[/tex] ÷ [tex]\frac{b}{c}[/tex]

This can be made into  --> [tex]a[/tex] × [tex]\frac{c}{b}[/tex]

It is a simple property that should be remembered.

This means that [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]6[/tex] × [tex]\frac{4}{1}[/tex] which is 24.

        2. The second way is with using a model (which I am not very good with). The model way is the image I will post.

Hope you understand both ways and have a nice day!! :D    

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

Answer:

1250 people

Step-by-step explanation:

Population density = total population / land area

Population density = 50

total population = x

land area 25

50 = x / 25

x = total population = 50 x 25 = 1250 people

Answer:

$53,700

Step-by-step explanation:

Commission earned = percentage commission x total number of houses sold

[tex]\frac{6}{100}[/tex] x $895,000 = $53,700

Answer:

So the pattern is dividing in half

So 300, 150, 75

We have the first 3 terms

The 4th term: 37.5, 18.75,

So we get the 10th term: 0.58

Answer:

2(x - 8) = 2x - 16

2(-8) + x + x = -16 + 2x or 2x - 16

2(3x + 2) = 6x + 4

6x - 2(2x + 8) = 2x + 8

-2(-3x - 2) = 6x + 4

-2(-x + 8) = 2x + 16

-14 + 3 + 2(9) + 3x = 7 + 3x

2x + 2(2x + 2) = 6x + 2

Step-by-step explanation:

I hope this helps!

Answer:

#1 = 2x-16

#2=2(-8+x)

#3 i don't know

#4= 2(x-8)

#5=6x+4

#6=2x-16

#7=7+3x

#8=2(3x+2)

please lemme know if its correct

Answer:

The slope of a line that is perpendicular to the x-axis ​is undefined.

Step-by-step explanation:

We know that the x-axis is a horizontal line.

Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 = [4 - 2] / [1 - 1]

                  = 2 / 0

                  = ∞

Answer:

UV

Step-by-step explanation:

That's the only one make sense

Answer:

13

Step-by-step explanation:

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

7000 + 200 = 7200

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

Answer:

c

[tex]2x {y}^{3} [/tex]

d

[tex]3x {y}^{2} [/tex]

f.10

Step-by-step explanation:

C. first you have to find the HCF of 2 and 6 then the HCF of

x and

[tex] {x}^{3} [/tex]

and

[tex] {y}^{5} and \: {y}^{3} [/tex]

Then:

[tex]2x {y}^{3} [/tex]

D.first you have to find the HCF of 6 ,9 and 3 then the HCF of

[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]

then the HCF of

[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]

then:

[tex]3x {y}^{2} [/tex]

F. I'm not sure but 10

if its helpful ❤❤❤❤

THANK YOU.

Answer:

5x + 15

Step-by-step explanation:

3(2x + 5)-x

6x + 15 - x

5x + 15

Hope this Helps!!!

Answer:

0.25 Hope this helps :)

Step-by-step explanation:

You add the 5 red and 3 green

8 Mables besides blue

so that's 2/8

simplified 1/4

1/4=0.25