On a map with a scale of 1 in. = 30 miles, the distance between Tarreytown and Hillville is 4 1 /2 in. What is the actual distance between the towns to the nearest mile?

Answer:

2.1

Step-by-step explanation:

w/7 = .3

Multiply each side by 7

w/7 *7 = .3*7

w = 2.1

Answer:

What you want to do, the easier way for me at least is to go to Demos and get a graphing calculator. It is free and you don't need to log in. Take your equation and enter it into the calculator it will give you everything that you need to answer the question.

Step-by-step explanation:

You can use comments to ask me any questions.

Answer:

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Final answer:

The probability that the arrow will land on the purple section of the spinner is calculated by dividing the number of purple results (12) by the total number of results (60), resulting in a probability of 1/5 or 20%.

Explanation:

The question is asking about the probability of the arrow landing on the purple section of a spinner with four different colored sections (orange, red, blue, and purple), each with a different number of results (orange: 9, red: 15, blue: 24, purple: 12). To calculate this probability, you need to use the basic probability formula which is:

Probability of an event = (Number of ways the event can occur) / (Total number of possible outcomes)

So the probability that the arrow will land on the purple section is:

Probability of purple = Number of purple results / Total results = 12 / (9 + 15 + 24 + 12) = 12 / 60 = 1 / 5

Therefore, the probability is 0.2, or 20%.

Answer:

B

I guess

.......................

Answer:

40

Step-by-step explanation:

If the dimensions are proportional, then you just need to multiply 5 by 8 to get what ? is equal to.

Answer:The Answer is 40

Step-by-step explanation:the bottom is 7 x 8 to get 56 the side length is 8x8 to get 64 and the other is 5 x8 to get 40.

Hope this helped ;D

Answer:

14x² - 21

Step-by-step explanation:

given for a rectangle,

height = 7

width = 2x² - 3

Area = height x width

= 7 (2x² - 3)

= (2x²) (7) - 3 (7)

= 14x² - 21

Answer:

x = 70

Step-by-step explanation:

The measure arc AC is twice as angle B

The center angle that sees arc is equal to the arc it sees

<B = 2x - 65 so the measure of arc AC is 4x - 130 since this is gonna complete 3x to 360°

4x - 130 + 3x = 360°

7x = 490

x = 70

Answer:

135 days

Step-by-step explanation:

There are 100 numbers

There are 75 numbers greater than 25 (26-100)

P(number greater than 25) =

 = number of numbers greater than 100/ total outcomes

 = 75/100

 =3/4

There are 180 days, so multiply the number of days by the probability

3/4*180 =135

Answer:

135 of the random selections would be numbers greater than 25.

Step-by-step explanation:

Since 25 is 25% of 100, that means that 75% of the random selections would be over 25.

75% = 0.75

180*0.75 = 135

135 of the random selections would be numbers greater than 25.

Answer:

1

Step-by-step explanation:

[tex]slope = \frac{ - 3 - 2}{ - 2 - 3} = \frac{ - 5}{ - 5} = 1 \\ [/tex]

Answer: 5/5 aka 1

Explanation: y1-y2/x1-x2 (-3 - 2/-2 - 3)

Answer: 7

Step-by-step explanation:

The question pertains to finding the x value for a given output on a graph of a function. The x value corresponds to the point where the y value is 4 on the graph.

The subject matter in this question pertains to the interpretation of a graphical representation of a function, specifically determining the input, or x value, for a given output, y value (f(x) = 4) in this case. Without the actual graph, it's impossible to definitively identify the correct x value. However, the process involves locating the point on the graph where the y-value is 4 and then identifying the corresponding x value.

For example, if the graph is a line that passes through the point (0,4), then x would equal 0. If the graph passes through the point (4,4), then x could equal 4. Similarly, if the line goes through (5,4) or (7,4), then x could equal 5 or 7 respectively.

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Answer:

4/9

Step-by-step explanation:

Answer:

Let's us talk about the Hydro Power Plant that generates electricity by energy possessed in a mass of flowing water by virtue of it height.

Step-by-step explanation:

The hydo power plant utilizes

an hydraulic turbine which converts the energy of flowing water into mechanical energy of it rotating shaft . A hydroelectric generator (alternator) converts this mechanical energy into electricity. The operation of this alternator is based on the principles of Electro magnetic induction, that when a coil of conductor is moved past a magnetic field, it causes electricity generation. So when high energy water impinges on the blade of a turbine the energy is transformed to rotational motion of the shaft which is connected to the the alternator

When the alternator turns, coils attached to it move past the magnetic field hence this causes electricity to flow and a voltage to develop at the generator output terminals."

Answer:

Sample Response: Power plants generate electricity by turning a turbine. The turbine spins a generator, which produces electricity. Fossil fuels are burned to heat water, producing steam that turns the turbine. Nuclear power plants use fission to produce the thermal energy needed to produce steam. Wind and falling water are also used to turn turbines, which spin generators that produce electricity.

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7x−4=3+8x

7x+−4=3+8x

7x−4=8x+3

Step 2: Subtract 8x from both sides.

7x−4−8x=8x+3−8x

−x−4=3

Step 3: Add 4 to both sides.

−x−4+4=3+4

−x=7

Step 4: Divide both sides by -1.

−x/−1=7/−1

x=−7

Answer:

b,c,e

Step-by-step explanation:

Answer:

b.c,e

Step-by-step explanation:

Answer:  10

This is the asnwer

Answer:

12x - y

Step-by-step explanation:

The numbers in the brackets are being multiplied by -1. For this you can just use the opposite signs for the things in brackets and remove the brackets. (AKA 14x - 2x - y)

Then you can ignore the y for now, and just deal with the x's first.

14x - 2x = 12x

Since there's only 1 y, you don't need to do anything with it other than put it back in the equation.

The finished equation is 12x - y

Answer:

x = 4

Step-by-step explanation:

Assuming these are similar triangles,we can use ratios to solve

3x+8        25

---------- = ------

4               5

Using cross products

5(3x+8) = 4*25

Distribute

15x +40 = 100

Subtract 40 from each side

15x+40-40 = 100-40

15x= 60

Divide each side by 15

15x/15 = 60/15

x =4

First, find the scale factor between both triangles.

25 / 5 = 5

15 / 3 = 5

Second, multiply to find the missing side length.

4 * 5 = 20

Third, solve for x.

3x + 8 = 20

3x + 8 - 8 = 20 - 8

3x = 12

3x/3 = 12/3

x = 4

Best of Luck!

The width of the garden is 10 feet, if the perimeter of the garden is 64 feet and the width of the garden is 12 feet less than the length.  

Step-by-step explanation:

The given is,

              Shape of garden is rectangular

              Perimeter of garden - 64 feet

              Width of the garden is 12 feet less than the length.

Step: 1

             Formula to calculate the perimeter of the rectangle,

                               [tex]P = 2(l+w)[/tex]........................(1)

            Where, l - Length of rectangle

                       w - Width of rectangle

Step: 2

           From the given data,

           Let, x = Length of the garden

                      P = 64 feet

                      w = x - 12 feet

          Equation (1) becomes,

                        64 = 2 ( x + (x - 12) )

                         [tex]\frac{64}{2}[/tex] = ( x + x - 12 )

                        32 = ( 2x - 12 )

                32 + 12 = 2x

                       44 = 2x

                         [tex]x = \frac{44}{2}[/tex]

                    l = x = 22 feet

           width, w = x - 12 = 22 - 12

                     w = 10 feet

Step: 3

          Check for solution,

                       64 = 2 ( 12 + 22 )

                            = 2 (32)

                      64 = 64

Result:

        The width of the garden is 10 feet, if the perimeter of the garden is 64 feet and the width of the garden is 12 feet less than the length.  

Answer:

19

Step-by-step explanation:

because 161.5/8.5=19

This is because you divide the distance by the time

Answer:

Suppose that you had a right angle triangle. Note that if you take it and another copy of it (moved around a bit) the two triangles together can be placed to make a rectangle.

This rectangle has four 90 degree angles adding up to 360 degrees. Since the triangles are congruent each triangle has half as many degrees, namely 180. So this is true for any right triangle.

Suppose you triangle is not a right triangle. Draw a perpendicular from the vertex opposite the longest side, to the longest side. What you have now is two right triangles which, by the above contain 360 degrees in total. But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 - 180 = 180 degrees.

Step-by-step explanation:

Answer:

The sum must be 180° for the angles to be a triangle.

The Triangle Sum Theorem states that every angle in a triangle must equal 180° in total.

m∠A +m∠B +m ∠C = 180°

The equation above can help you solve for an angle in a triangle if two measurements of the angle are given.

Answer:

Step-by-step explanation:

So, we know that 5000 milliliters = 5 liters right? So we have to add up the right juices in order to get 5000 milliliters.

Lemonade

4 containers.

Pineapple.

4 containers.

Grape juice.

6 containers.

Now we're gonna multiply them by their containers.

Lemonade.

250*4 = 1,000

Pineapple.

500*4 = 2,000

Grape juice.

250* 6 = 2,000

Now we add them up :)

1,000 milliliters + 2,000 milliliters + 2,000 milliliters = 5 liters.

Ps. I had this question on my test and got a good grade so ik what i'm doing.

The correct answer is: 800 milliliters + 800 milliliters + 2400 milliliters = 5000 milliliters.

By taking;

the volume of each juice container is 400 milliliters.

Since we know that 5000 milliliters = 5 liter

So we have to add up the right juices in order to get 5000 milliliters.

let the volume of each juice container is 400 milliliters.

Mango 2 containers=2×400=800 milliliters.

Pineapple 2 containers= 2×400=800 milliliters.

Orange juice 6 containers=6×400=2400 milliliters.

Now on adding them;

800 milliliters + 800 milliliters + 2400 milliliters = 5000 milliliters.

In equation form;

Let the volume of all containers are equal i.e 'x'

∴ 2×x+2×x+6×x=5000

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Answer:

Step-by-step explanation:

hello :

f(x)=3x^2-6x+13

1)  a=3   and  b= -6

2)  the x coordinate of the vertex is : x= -b/2a    so :  x= -(-6)/6 = 1

3) the y coordinate by x= 1 is : f(1) = 3(1)²-6(1)+13 = 10

Answer:

Step-by-step explanation:

Two of the sides total 150 +220 = 370 meters. The other two sides are the same lengths, so the sum of lengths of the four sides is ...

  2·370 m = 740 m . . . . . length of fence needed

__

The area of a parallelogram is the product of base and height.

  A = bh = (220 m)(100 m) = 22,000 m^2 . . . . area the fence encloses

Answer:

Step 2

Step-by-step explanation:

Meredith made a fatal mistake or error in step 2;

Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;

  From the given problem ;

    Wrong                                                  right

    2(x + 4)² = 242

    (x + 4)² = 121     Step 1  

     x+4=11              Step 2                  x + 4  = ± 11

     x  = 7                Step 3                  x + 4  = 11 or x + 4  = -11

                                                           x  = 11- 4     or    x  = -11 - 4

                                                           x  = 7 or -15

Answer:

Step 2

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Unknown number = x

32% = 0.32

Write an equation

0.32(x) = 16

Simplify

0.32x = 16

Divide both sides of the equation by 0.32

x = 50

50

Hope this helps :)

Answer:

[tex]35 {z}^{6} {d}^{11} [/tex]

Step-by-step explanation:

Assuming you are supposed to simplify:

[tex]7 {z}^{2} \times 5 {z}^{4} \times {d}^{3} \times {d}^{8} [/tex]

Then we need to apply the product rule of indices.

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So we multiply to get:

[tex]35 {z}^{2 + 4} \times {d}^{3 + 8} [/tex]

We now simplify the exponents to get:

[tex]35 {z}^{6} \times {d}^{11} [/tex]

Therefore the required product is

[tex]35 {z}^{6} {d}^{11} [/tex]

Answer:

The height of the can is 4 inches.

Step-by-step explanation:

Cylinder:

Given that, the surface area of the soup can is 51.84 in².

The diameter of the can is 3 inches.

Then, radius of the can [tex]=\frac{Radius}{2}[/tex]

                                      [tex]=\frac32[/tex] inches

                                      =1.5 inches

Total surface area of the cone is = 2πrh+2πr²

                                                      [tex]=2\pi (1.5)h+2\pi (1.5)^2[/tex] in².

                                                      [tex]=2\pi (1.5)(h+1.5)[/tex]  in².

                                                      =3π(h+1.5)  in².

So,

3π(h+1.5)=51.84

[tex]\Rightarrow (h+1.5)=\frac{51.84}{3\pi}[/tex]

[tex]\Rightarrow h=\frac{51.84}{3\pi}-1.5[/tex]

⇒h=5.5-1.5

⇒h=4 inches

The height of the can is 4 inches.

The statement that shows that indicates an association between the categorical variables is (c) The value of B is not similar to the value of C.

From the complete question, see attachment for the table:

We can see that the entries on the last row are equal i.e. 1.0

For the table to show an association, entries at adjacent cells must not be similar.

i.e. A and B, B and C and C and D must not be similar

Hence,  the true statement about the table is (c)

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The most likely indication of an association between gender and favorite meal to cook is if C)  the value of B is not similar to the value of C, suggesting a significant difference in meal preferences among males for lunch and dinner.

To determine if there is an association between gender and a person's favorite meal to cook, we need to compare the conditional relative frequencies.

Since we are looking for an indication of association, the most likely scenario would be that c) the value of B is not similar to the value of C.

Complete Question:

The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.

A 5-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled breakfast with entries A, E, 1.0. The third column is labeled lunch with entries B, F, 1.0. The fourth column is labeled dinner with entries C, G, 1.0. The fifth column is labeled total with entries D, H, 1.0.

                 Breakfast, Lunch, Dinner, Total

Male         A,           B,         C,           D

Female     E,          F,           G,        H

Total          1.0       1.0         1.0          1.0

Which would most likely indicate an association between the categorical variables?

A. The value of A is similar to the value of B.

B. The value of A is similar to the value of E.

C. The value of B is not similar to the value of C.

D. The value of B is not similar to the value of F.