A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!

It is already in the simplest form.

Using proportions, the amounts are given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

We have that the amount of Twix is triple the amount of Milky ways, hence:

There are 5 fewer Snickers then Twix, hence:

Hence the amounts are given as follows:

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Step-by-step explanation:

60+40=100

70+30=100

80+20=100

hope it helps

The mean waste recycled per person per day for the population of new- york is 1.9 < u < 2.3 .

Given that,

The mean waste recycled per person per day = 2.12

Standard Deviation = 0.250

c = 0.9 , So  [tex]\alpha[/tex] =1-c =0.10

n = 9<30 so we use t critical value.

From t table we get the critical value = 1.859

90% confidence interval for the mean u

So,

X = 2.1 , s = 0.25 , n= 9

2.1 - 1.86 (0.25/[tex]\sqrt{9}[/tex]) < u < 2.1 =1.86 (0.25/[tex]\sqrt{9}[/tex])

1.954  < u < 2.225

1.9 < u < 2.3 .

Therefore,

From 1.9 < u < 2.3 we get that the population is approximately normal.

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Answer:

40billion for the tip question

2 Answers:

Choice B) irrational

Choice F) Natural

=====================================================

Reason:

Let's go through the answer choices.

Answer: 26/168 hours are spent watching TV a week.

Step-by-step explanation:

Weekdays: 2 * 5 = 10

Weekends: 8 * 2 = 16

Week total hrs: 24 * 7 = 168

10 + 16 = 26

26/168

Answer:

Step-by-step explanation:

Make the following operations:

and

The required value is:

Answer:

[tex]\dfrac{a+b}{a-b}=-\sqrt{2}[/tex]

Step-by-step explanation:

Given:

[tex]a^2+b^2=6ab[/tex]

[tex]0 < a < b[/tex]

Add 2ab to both sides of the given equation:

[tex]\implies a^2+b^2+2ab=6ab+2ab[/tex]

[tex]\implies a^2+2ab+b^2=8ab[/tex]

Factor the left side:

[tex]\implies (a+b)^2=8ab[/tex]

Subtract 2ab from both sides of the given equation:

[tex]\implies a^2+b^2-2ab=6ab-2ab[/tex]

[tex]\implies a^2-2ab+b^2=4ab[/tex]

Factor the left side:

[tex]\implies (a-b)^2=4ab[/tex]

Therefore:

[tex]\implies \dfrac{(a+b)^2}{(a-b)^2}=\dfrac{8ab}{4ab}[/tex]

[tex]\implies \dfrac{(a+b)^2}{(a-b)^2}=2[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^c}{b^c}=\left(\dfrac{a}{b}\right)^c:[/tex]

[tex]\implies \left(\dfrac{a+b}{a-b}\right)^2=2[/tex]

Square root both sides:

[tex]\implies \sqrt{\left(\dfrac{a+b}{a-b}\right)^2}=\sqrt{2}[/tex]

[tex]\implies \dfrac{a+b}{a-b}=\pm\sqrt{2}[/tex]

As 0 < a < b then:

Therefore:

[tex]\implies \dfrac{a+b}{a-b}=\dfrac{+}{-}=-[/tex]

So:

[tex]\implies \dfrac{a+b}{a-b}=-\sqrt{2}[/tex]

The measure of C'T' is √17 units after the rotation .

Rotation of a graph is a transformation in which the figure is rotated around a fixed point.

The given triangle is CAT and it has the coordinates as C(0,0) , A(-2,1) and T(-1,4).

So when the figure is rotated about a fixed point the side lengths will remain same as the original figure.

C'T' = CT = √17 (the value of CT is given)

Hence the length of  C′T′ is √17 units .

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The three ways that the problem that Ernie has written can  be solved are:

This is the term that is sued to refer to the topic in mathematics that has to do with the ways that numbers can be broken down into smaller units. The number that is being divided is often done with the aid of a divisor.

In this question, the number that is to be divided is 525 and the number that is to do the division is 1500. This can be written as 525 / 1500 for us to see clearly.

When written, we can write this out in the different ways that have been stated above. Hence we would have The three ways that the problem that Ernie has written can  be solved are:

The solution is 0.35

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Answer: 5 minutes

60 minutes to start -20 minutes used =40 minutes left

40 minutes left/ 8 questions = 5 minutes on average per question

Answer:

6 people took x amount of candy and 6 other people took 2 times that same amount how much candy did they all take... (I think that works)

The circle graph/pie chart is made for the given bar graph.

A pie chart is a type of graph that displays data in a circular graph. The slices of pie represent the relative amount of information and are a type of pictorial data representation.

Now, as the data given in the bar graph.

The basketball is played the number of students is 4.

That is 40% of the total.

The football is played the number of students is 3.

That is 30% of the total.

The baseball is played the number of students is 2.

That is 20% of the total.

The soccer is played the number of students is 1.

That is 10% of the total.

Thus, the pi cart for the all data percentage is formed.

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Answer:

it's the last one

Step-by-step explanation:

the last one is the correct one

Answer:

Step-by-step explanation:

9 is the answer

The value of function f(x) = 3x² + 8x-10 at f(2) is  18 .

We have given an function f(x) = 3x² + 8x-10

Putting x = 2 into this function , we get

 f(2) = 3(2)²+ 8x -10

        =3(4) + 8(2) -10

        = 12 + 16 -10

        = 18

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Smallest possible value of the least common multiple is 6

a =12 and  b=54

In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as GCD(x,y)=[tex]\frac{x*y}{LCM(x,y)}[/tex]

GCD[12, 54] =[tex]\frac{(12*54)}{106}[/tex]=6

LCM[12, 54] =108

Also a =42 and b= 24 will give the same GCD of 6, but the LCM[42, 24] =168 which is greater than the first one.

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Answer:

Dragons are real because all the other animals on the calendar for real.

Step-by-step explanation:

Hope this helps.

Answer:

C. 445

Step-by-step explanation:

Directly proportional means that y = kx for some constant k. So you can start by substituting;

712 = 8k

k = 89

y = 5(89)

y = 445

Hope this helps! :)

Answer:

Denominator, opposite of the numerator

Step-by-step explanation:

When divided by negative, it's the inverse (+/-) and changes signs.

2 parts to a fraction

Numerator

---------------

Denominator

Hope this helps! :)

Answer:

congruent

Step-by-step explanation:

Check the picture below.

the function is the Cost function for the bagels, of course that'd depend on the price of each bagel, so the cost C(x) is dependent on how many independent bagels Naomi is buying, as you can see in the table in the picture.

now, if Naomi gets 10 bagels, that simply means that x = 10, thus the price is C(10), or namely C(10) = 1.25(10), so Naomi better check her pockets for $12.50 for the bagels, hopefully she'll get some cream cheese too and cocoa.

The spam of the sets of vector of all linear combination is 0,

The span of the set {(2, 5, 3), (1, 1, 1)} is the subspace of R 3 consisting of all linear combinations of the vectors v 1 = (2, 5, 3) and,

v 2 = (1, 1, 1).

this defines a plane in R 3.

Since a normal vector to this plane in n = v 1 x v 2 = (2, 1, −3),

the equation of this plane has the form 2 x + y − 3 z = d for some constant d. the plane must contain the origin—it's a subspace— d must be 0.

No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

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32% of the same people spend their time listening.

The total number of mentioned  people will be 100% or 1. Now, in the total people, the remaining ones who are not stated in the question, must be the listeners. Thus, calculating the remaining percentage of people, we will get the percentage of listeners in same people.

So, number of people who spend time speaking = 26%

Number of people who spend time speaking = [tex]\frac{26}{100}[/tex]

Number of people who spend time speaking = 0.26

Number of people who spend time writing =  23%

Number of people who spend time writing = [tex]\frac{23}{100}[/tex]

Number of people who spend time writing = 0.23

Number of people who spend time reading =  19%

Number of people who spend time reading = [tex]\frac{19}{100}[/tex]

Number of people who spend time reading = 0.19

Total number of people involved in activities other than listening = 0.26 + 0.23 + 0.19

Total number of people involved in activities other than listening = 0.68

People who spend time listening = 1 - 0.68

People who spend time listening = 0.32

Percentage of people who spend time listening = 0.32 × 100

Percentage of people who spend time listening = 32%

Hence, 32% of the same people spend their time listening.

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Answer: b=7

Step-by-step explanation:

6b+7+7b-8=90

6b+7b+7-8=90

13b-1=90

13b=91

b=7

The values of x will be 2 and -1.

Given that:-

[tex]14x+17=2(x+3)^2-5[/tex]

We have to find the value of x.

As it is a quadratic equation, there will be two values of x.

Opening the bracket and solving the equation further, we get,

[tex]14x+17=2(x^2+9+6x) -5\\14x+17 = 2x^2 +18+12x-5\\2x^2-2x-4 = 0\\2(x^2-x-2) =0\\x^2-x-2 = 0[/tex]

Using middle-term split theorem to solve the quadratic equation, we get,

[tex]x^2-x-2 = 0\\x^2+x-2x-2=0\\[/tex]

x(x + 1) - 2(x + 1) = 0

(x + 1)(x - 2) = 0

Hence, either x + 1 = 0 or x - 2 = 0 or both of them are 0.

x + 1 = 0

x = -1

and,

x - 2 = 0

x = 2

Hence, the values of x are 2 and -1.

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Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.

As given in the question,

Raymond's bank account has:

Overdrawn amount in bank = $32.55

Deposits amounts by Raymond's = 2 × ( $100 )

                                                       = $200

Purchase amount = $86.72

Account balance in Raymond's account = ( $200 - $32.55 - $86.72 )

                                                                  = ( $200 - $119.27 )

                                                                  = $80.73

Therefore, Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.

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Answer: 6 metres

Step-by-step explanation:

It can be written as 48=8x

48/8=x

x=6