Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

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b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

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c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).

Answer:

Step-by-step explanation:

Given the following simplified expressions:

4√3, 3 3√2, 2 3√3, 3√5

It's radical equivalent is :

4√3 = √4² * √3 = √16 * √3 = √16*3 = √48

3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18

2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27

3√5 = √3² * √5 = √9 * √5 = √9*5 = √45

Answer:

answer attached

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

Needs more detail unable to answer

Answer:

an=an−1+10, where a1=8

Step-by-step explanation:

it is

Answer:

an=an−1+10 , where a1=8

Step-by-step explanation:

I just took the test and I got it right!! :)

Answer:

Step-by-step explanation:

[tex]step - 1 : define \\ \frac{e + f}{a - d} = \frac{b}{a} \\ step - 2 : cross \: multiplication \\ b(a - d) = a(e + f)[/tex]

The equivalent expression of (e+f)/(a-d) = b/a is a(e+f) = b(a-d). The correct option is A.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression (e+f)/(a-d) = b/a.

To find the equivalent expression:

(e+f)/(a-d) = b/a

Using cross multiplication,

a × (e+f) = b × (a-d)

Simplifying,

a(e+f) = b(a-d).

In order to solve further, we can use the PEMDAS method.

ae + fa = ba - bd.

Therefore, a(e+f) = b(a-d) is an equivalent expression.

To learn more about the equivalent expression;

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Answer:

160  minutes

Step-by-step explanation:

20 every time

8 times

20 times 8 = 160

Answer:

I think it's 18 students

Step-by-step explanation:

I used division. Hope this helps

Answer:

Correct answer would be 84/12=7

Step-by-step explanation:

Reason being , Its asking the "product" Of Julies score (7)

If you divide 84 /7 it will be =12

since its already giving you what its equal you would flip it and it would be 84/12

Answer:

[tex] \tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}[/tex]

[tex] \sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}[/tex]

Remember:

Answer:

meter,liter and gram metric system

Answer:

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

Answer: 3:2

Step-by-step explanation:

This is correct because 3:2 is equal to 6:4. 3:2 is 6:4 divided by 2.

Hope this helps ;)

Answer:

3:2

Step-by-step explanation:

Fiction to non-fiction.

6:4

Now, simplify. Divide both by 2.

6/2=3

4/4=2

3:2 is the ratio.

Answer:

Richard 7x-27

Step-by-step explanation:

6x-3y +  x+y

Answer:

7 or 8 miles per hour

Step-by-step explanation:

The rate of current or velocity of current upriver is 4.5 miles per hour.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Let's suppose the velocity or speed of the boat (Velocity in still water ) = V miles/hour

Velocity of current = x miles/hour

Given that,

The boat takes 2 hours to travel 15 miles upriver against the current.

15 miles  in 2 hour

⇒ 7.5 miles/hour

Since it is traveling against the current velocity so

V  - x = 7.5

And V = 12 miles/hour

By substitution,

12 - x = 7.5

x = 12 - 7.5

x = 4.5 miles/hour

Hence "The rate of current or velocity of current upriver is 4.5 miles per hour".

To learn more about velocity,

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Answer:

Step-by-step explanation:

x = 180 - ((180-96)+(180-130))

x = 180 - (84+50)

x = 46°

Answer:

x = 46 degrees

Step-by-step explanation:

180 - 130 = 50

180 - 96 =  84

50 + 84 = 134

180 - 134 = 46

Answer:

x=9

Step-by-step explanation:

-2x+6=x-3

-1x+6=-3

-1x=-9

divide both sides by -1

x=9

hope this helps

Answer:

Step-by-step explanation:

Given system:

Substitute y and solve for x:

Find y:

Solution is:

Answer:

Step-by-step explanation:

Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.

Step-by-step explanation:

Linear Equation; Ax+By=C

A linear equation to model this situation:

8x + 55 = C

Where;

8 is for the rate of gallons.

'X' is the minutes.

55 is the gallons of water the tank already contained.

8(25) + 55 = 255

Where;

8 is for the rate of gallons.

25 is the minutes.

55 is the gallons of water the tank already contained.

Answer:

la distancia que hay entre ellos es de 50+30=80km

Step-by-step explanation:

Answer:

-5/24

Step-by-step explanation:

-3/4 = -6/8

-6/8 + 1/8 = -5/8

|-5/8| = 5/8

2/3 = 4/6

4/6 + 1/6 = 5/6

5/8 - 5/6  =  15/24 - 20/24

15/24 + (-20/24) = -5/24

Answer:

Step (2) is incorrect.

Step-by-step explanation:

The area of a rectangle is given by :

A = length × width

Area = 8+12x

Width = 4

Step 1: 8 + 12x  

Step 2: 4(2) + 4(3x)  

Step 3: 4(2 + 3x)  

Step 4: Dimensions of the rectangle are 4 and 2 + 3x.

It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).

Answer:

Norma spent $30

Jane spent $22

Answer:

[tex]\frac{13}{5}[/tex] pints of paints are left together

Step-by-step explanation:

Given

Number of pints of paint with Maria [tex]= 4[/tex]

Number of pints of paint with Emme [tex]= 4[/tex]

On the first day , Maria used [tex]\frac{3}{5}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Maria

[tex]= 4 - (\frac{3}{5} * 4)\\= \frac{20 - 12}{5} \\= \frac{8}{5}[/tex]

On the first day , Emme used [tex]\frac{3}{4}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Emme

[tex]= 4 - (\frac{3}{4} * 4)\\\\= 4-3\\= 1[/tex]

Total pint of paint left with both Maria and emme altogether

[tex]= 1 + \frac{8}{5}\\= \frac{5+8}{5} \\= \frac{13}{5}[/tex]

Answer:

the answer is b

Step-by-step explanation: edge 2020

Answer:

C. The two quantities are equal

Step-by-step explanation:

Edge 2020 2021

Answer:

the answer is 181 2/4 OR 181 1/2 hours a month.

Step-by-step explanation:

Pretty simple hoped I helped sir or madame

Answer:

27

Step-by-step explanation:

Answer:

The options are not given, so i will answer in a general way.

First, we have the system:

y + 2*x = 3

y + 2 = 3*x

To graph this system, the easier way is writing both equations as linear equations, like:

y = -2*x + 3

y = 3*x - 2

Now we just need to graph these two lines in the same coordinate axis.

To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.

For example, for the first equation if we have x = 0, we have:

y = -2*0 + 3

y = 3

Then we have the point (0, 3)

and if x = 1

y = -2*1 + 3 = 1

y = 1

we have the point (1, 1)

Now we only need to graph these points, and draw a line that passes through them.

Once we did this for both lines, the graph we will get will look something like the one above.

And the point where the lines intersect is the solution of the system of equations.

Which is the point (1, 1)

Answer:

if all the pots have an even amount then you should be left with 5 flowers left

Step-by-step explanation:

28+37= 65 there are 6 pots so take 5 away and each pot gets 10

now each pot has an even amount and you are left with 5