A portion of a map with cities A and B is shown. The map uses a scale of 1 inch =15 miles. You are making a map with a scale of 2 inches = 25 miles How far apart are cities A and B on your​ map?

Answer:

a₆ = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus

a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]

Answer:

......

Step-by-step explanation:

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Answer:

42.5

Step-by-step explanation:

Answer:

x = 37.5

Step-by-step explanation:

First, you'll have to find the amount between the similar triangles. This is what  I mean:

42.5/17 = 2.5

20/8 = 2.5

So, that means that 15(2.5) = x.

x = 37.5

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$

Answer:

f(x)= -2x+490

Step-by-step explanation:

f(x)=mx+b

where m=slope and b=y-intercept

Please make me Brainliest

Answer:

4/3

hope this helped :)

Answer:

6.58

Step-by-step explanation:

divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.

Answer:

1.88/2  0.94x7 for one week Kelly will pay $6.58 for a sonic drink

the answer is B

Step-by-step explanation:

1.88/2= 0.94

0.94x7=6.58

for one week Kelly will pay $6.58 for a sonic drink

hope this helps:) have a good day :)

Answer:

Paul is correct

Step-by-step explanation:

You can add the distance of 0 to 6 AM and 0 to 12 PM, and doing so on a number line. On a number line you would add them and lets say 6 AM is 6 degrees and 12 PM is 12 degrees, you would add 6 and 12 to get 18. While doing so you would got 1 2 3 4 5 6 7 8 9 and so on. Thus, finding the difference.

I know I'm late but can I still get that brainliest

Answer:

b

Step-by-step explanation:

Answer:

I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)

Step-by-step explanation:

Answer:

129.9

Step-by-step explanation:

78.5

+ 51.4

129.9

Hope this helps! (:

Answer:

The equation is y = 3.2x + 15

Step-by-step explanation:

We know that the beginning height is 15 cm, so that will be our y-intercept, since we started with that. We also need the slope, which is the rate of change. The rate of change is 3.2 cm per week, so the slope is 3.2. This makes the equation y = 3.2x + 15. I hope this helps, and I hope it's not wrong, which I don't think it is.

a) y = 50x - 165   (After cleaning three pools, you were still down $15, this means the equipment costs 3*50 + 15 = $165)

b) The y-intercept -165 is the equipment cost

c) After cleaning 12 pools, y = 600 - 165 = 435. You have made $435.

You discovered that you could earn $50 for each summertime pool you cleaned. The equation is y = 50x + 16. The y-intercept is (0, 165). After 12 pools, y = 435.

We have to create a point-slope equation to reflect the quantity of pools you clean, x, and your summertime earnings.

Given that,

You discovered that you could earn $50 for each summertime pool you cleaned

But in order to begin going, you had to buy some supplies. Even after cleaning three pools, you were still out of pocket by a total of $15.

The equation we can write as

y = 50x + 165

You were still down $15 after cleaning three pools, therefore the equipment costs 3×50 + 15 = $165.

The y-intercept we get as taking x as zero.

y = 50(0) + 165

y = 165

The y-intercept is (0,165).

After 12 pools,

We get,

y = 600 - 165 = 435.

Therefore, The equation is y = 50x + 16. The y-intercept is (0,165). After 12 pools, y = 435.

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Answer:

Step-by-step explanation:

The anwser is 2,3,4,5

Answer:

...

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Given the dimension in feet

Width = 60 ft

Height = 20 ft

Given the dimension in inches

Width = 9in

Height = ?

To get the height in inches, we will use the equality postulate:

60 ft = 9in

20ft = x

Cross multiply

60x = 9*20

60x =180

x = 180/60

x = 3in

Hence the height of the screen will be 3inches

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

Answer:

(-1, 4)

Step-by-step explanation:

-5+3/2 = -1

6+ 2/2 = 4

(-1, 4)

Answer:

Step-by-step explanation:

B

C

Using translation and parabola concepts, it is found that the correct options are:

A. Function g is the result of f being translated right 2 units and down 4 units.

C. The graph of function f opens upward.

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

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Answer:240 inches

Step-by-step explanation:

Answer:

240 in.

Step-by-step explanation:

1 foot is equal to 12 inches. Being that there are 20 feet you would multiply 20 by 12 and get 240.

Answer:

If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Step-by-step explanation:

The information provided is as follows:

The variable x is the number of pairs of pants.

The total cost function for Kelsey will be:

[tex]TC_{K}=17.95\cdot x+24[/tex]

The total cost function for Jeana will be:

[tex]TC_{J}=18.95\cdot x+18[/tex]

Consider that both pay the same total cost for their purchases.

Compute the value of x as follows:

            [tex]TC_{K}=TC_{J}[/tex]

[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]

Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Answer:

Given h(x) = -x + 2, find h(4).

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

Because the inequality is

[tex] \leqslant or \geqslant [/tex]

it means the line will be solid, not dashed. Also, because the y variable is on the less than side of the equation, it means the shaded are will be under the line.

Answer:

hmm you need help

Step-by-step explanation:

y = 5x -16 will be the Solution for y in terms of x for the given equation.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given a linear function 5x - y = 16

Solution for y in terms of x will be

5x - y = 16

=> 5x = 16 +y

=> y = 5x -16

Therefore, the Solution for y in terms of x for the given equation will be:

y = 5x -16.

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Answer:

2 and 1/8

Step-by-step explanation:

Reduce fractions where possible.

Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.

[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.

The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].

Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.

[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]

[tex]= \frac{11}{4}[/tex]

Now, we can rewrite the expression as:

[tex]\frac{1}{8} \div \frac{11}{4}[/tex]

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

[tex]\frac{1}{8} \times \frac{4}{11}[/tex]

Next, let's simplify the multiplication:

[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]

We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

[tex]\frac{4}{88} = \frac{1}{22}[/tex]

Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].

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Answer: Yes it is a function

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Answer: Kristy

Step-by-step explanation: 6x=40 4x=30, 40/6 is 6.6 repeating which means she travels a mile in 6.6 minutes and 30/4 is 7.5. 6.6 repeating is lower than 7.5 which means it is faster.

Answer:

don't even know hope u get it tho

This is a line portrayed in point-slope form.

First, put a point at (0, -1). This is your y-intercept.

Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).

Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).

Finally, draw a line connecting all your points.

Answer:

12.7=s

Step-by-step explanation:

First, write the equation and combine like terms.

7-45=-3s

-38=-3s

Next, divide both sides by 3.

-38=-3s

/-3  /-3

12.7=s (I rounded the answer.)

Hope this helps! Have a great day C:

Answer:

48 cm

Step-by-step explanation:

64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.