A train travels 20 miles in 15 minutes. How far will it travel in a hour and a half?

Answer:   a³ - 218

Step-by-step explanation:

  (a - 6)(a² + 6a + 36)

= a(a² + 6a + 36) -6(a² + 6a + 36)

= a³ + 6a² + 36a

      -  6a² -  36a - 218

= a³ + 0a² +  0a  - 218

= a³ - 218

Answer:

option (A)

central angle = 0.375 rad

Step-by-step explanation:

Given in the question,

radius of the circle = 8 inches

arc of the circle = 3 inches

To find,

measure of a central angle

Central angles are subtended by an arc between those two points.

Formula to use:

where r = radius

           s = arc length

           θ = angle in radians

Plug in the values in the equation

Answer:

.375 rad

Step-by-step explanation:

Using the equation w=v/r

w=3/8

w=.375

Answer:

X=7

Step-by-step explanation:

X = SQRT(49)

X = 7

Best regards

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - height

From the pictue we have r = 5in and H = 3in. Substitute:

[tex]x=\pi(5^2)(3)=\pi(25)(3)=75\pi\ in^3[/tex]

[tex]\pi\approx3.14[/tex]

Therefore

[tex]x=(75)(3.14)=235.5\ in^3[/tex]

Answer:

75π is the answer

Step-by-step explanation:

In term of pie is solving without multiplying with pie which is 3.14

A=πr2 x H

1) leave π alone solve for r2

The radius is 5  so 5 squared is 25 or 5x5=25

2) Just multiply 25 times the height which is 3 with pie

25x3=75

75π is the answer

Hopes this helps!

Answer: [tex]35\sqrt{x^2y}[/tex]

Step-by-step explanation:

To solve this exercise  you must apply the proccedure shown below:

- Apply multiplication, as following:

[tex]4(5\sqrt{x^2y})+3(5\sqrt{x^2y})=20\sqrt{x^2y}+15\sqrt{x^2y}[/tex]

- As you can see, the index of the radical in the first term is 2 and the index of the radical in the second term is also 2.

- You can observe that the radicands are the same.

- Therefoe, as the index of the first radical is equal to the index of the second radical and the radicands are the same, you can make the addition. Then, you obtain:

[tex]35\sqrt{x^2y}[/tex]

THE ANSWER IS C all the other people are wrong because they don’t even got the answer choices. 7(5sqrt ^2y)

Answer: $175.50

Step-by-step explanation: Since you are given the formula, your next step is to put your information into it.

I = PRT

I = 450 x .13 x 3

Now to solve for it:

I = $175.50

Answer:

The value of x = 4 when the value of y = 12

Step-by-step explanation:

∵ y α x ⇒ it is direct variation

- It means y increase when x increase

∴ y = kx ⇒ where k is a constant

- To find the value of k we will substitute the values of x

  and y in the equation above

- If y = 6 when x = 2

∴ 6 = k(2) ⇒ divide two sides by 2

∴ k = 3

∴ y = 3x ⇒ equation of variation

- To find the value of x when y = 12

- Substitute the value of y in the equation of variation

∴ 12 = 3x ⇒ divide both sides by 3

∴ x = 4

* The value of x = 4 when the value of y = 12

Answer: x=4

Step-by-step explanation:

By definition, the direct variation eqution has the following form:

[tex]y=kx[/tex]

Where k is the constant.

Therefore, if If [tex]y=6[/tex] when [tex]x=2[/tex], you can calculate k as following:

-Substitute values.

- Solve for k.

Then:

 [tex]6=k(2)\\k=3[/tex]

Then, when [tex]y=12[/tex], you can calculate the value of x as it is shown below:

-Substitute values.

- Solve for x.

Then:

[tex]12=3x\\x=4[/tex]

Area of a triangle

1/2×b×h

=1/2×120×95

=60×95

=5700

Answer

5700 ft.

Answer:

5700 ft

Step-by-step explanation:

Hey there!

I want you to think of radicals as like terms. In order to be able to combine like terms, you need the same base and exponent.

For example,

3x^2-y^2 <== same exponent but not same variable

3x^2-x^2 <=== could be combined because exponent (^2) and variable (x) are the same

So, for this question, you're looking for a radical that has 5 under the radical sign and 3 above the radical sign.

"B" is the right answer, because is  ∛ and in the radical it has a √5.

I hope this helps!

~kaikers

Answer:

one or two books cost 10 dollars

Step-by-step explanation:

which graph shows the relationship between the number of books x the store sold and the total amount of money y paid from the book sales?

book store selleing books for

10 dollars

x= books 1,2

y= paid  10

so u see it says someone  bought books for 10 dollars

each so  two books

Answer with explanation:

Selling Price of book, which the bookstore is selling =$ 10

If, total number of books sold =x

Total Selling Price of x, books = $10 × x=$10 x

If, y is the amount of money obtained after selling x books, then

→→ y= 10 x

Drawing the graph on "Desmos graphing"

Answer:

y=2x^2−5x+18

Step-by-step explanation:

The shortest time it takes to collect a container of water is 45 minutes.

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary. A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

We have given the box plot which shows the amount water collect in how many minutes.

The box plot gives the following information

Minimum value = 45

Median = 48

Lower Quartile = 53

Upper Quartile = 56

Maximum = 64

So, the shortest time is given by minimum value which is 45 minutes.

Learn more about Box plot here:

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The sum of the two vertical angles (4x - 7) and (2x - 13) is 33 degrees.

To find the sum of the two vertical angles, we need to equate the expressions representing the measures of the angles and solve for x.

(4x - 7) = (2x - 13)

4x - 7 = 2x - 13

2x = -6

x = -3

Now we can substitute x = -3 back into one of the expressions to find the angle measures.

Angle 1 = (4x - 7) = (4(-3) - 7) = -12 - 7 = -19

Angle 2 = (2x - 13) = (2(-3) - 13) = -6 - 13 = -19

The sum of the two angle measures is: -19 + -19 = -38

Since angle measures cannot be negative, we can conclude that the sum of the two angle measures is 38 degrees. Answer choice (c) 66 is incorrect because the sum is not positive. The correct answer is (a) 33 degrees.

Answer:

Please see attached graph for further understading of the solution.

To easily solve this problem, we can graph each of the functions and compare them to the original one.

g(x)= 2x-3

An horizontal compression implies a greater slope for the line. This means that the graph of f(x), must reach higher values faster.

Based on the image, the answer is option D

Final answer:

To rewrite 11/35 and 3/10 with a common denominator, find the LCD, which is 70 and it will result in 22/70 and 21/70.

Explanation:

To rewrite the fractions 11/35 and 3/10 so they have a common denominator, we need to find the Least Common Denominator (LCD) for both fractions. The denominators are 35 and 10. Prime factorizing 35, we get 5 and 7. Prime factorizing 10, we get 2 and 5.

The LCD for both will therefore be the product of these prime factors taken at the highest power that appears in each, which is 2 * 5 * 7 = 70. To rewrite the fractions, we multiply the numerator and the denominator of each fraction by any factors needed to reach the LCD.

For 11/35 to have 70 as its denominator, we observe that 35 already has the factor 7 and 5, hence it only needs to be multiplied by 2. So, 11/35 = 11 * 2 / 35 * 2 = 22/70.

For 3/10 to have 70 as its denominator, we see that 10 has the factor 2 and 5, so it needs to be multiplied by 7. Therefore, 3/10 = 3 * 7 / 10 * 7 = 21/70.

Now both fractions have the same denominator of 70, which is 22/70 and 21/70 respectively.

Answer: x=-5 and y=18

Step-by-step explanation:You multiply 3x+y=3 by 2 to get 6x+2y=6. Then, you subtract 6x+2y=6 from 7x+2y=1. The result is x=-5. You then plug -5 into an x in one of the equations and get y equal to 18.

Answer:

-5

Step-by-step explanation:

It would be answer choice (B) :D

Answer:

See below.

Step-by-step explanation:

Problem  A

I have no tool that will draw this easily but I can direct you to do it.

Problem B

The general formula for the number of  bricks in any pattern (n) is

4n + 1 where n is the pattern number. Try some values.

n =3  

4n + 1

4*3 + 2

13

n = 4 which is the one you just drew

4n + 1

4*4 + 1

16 + 1

17

n = 8

4n + 1

4*8 + 1

32 + 1

33

Problem C

4n + 1 = 49           Formula

4n -1 = 49 - 1         Subtract 1 from both sides

4n = 48                 Divide by 4

4n/4 = 48/4

n = 12                    Answer

Pattern 12 will have 49 bricks

Problem D

The general formula we have been using all along is the answer.

4n + 1

Answer:

The length of side [tex]x[/tex] is 4.9 cm

Step-by-step explanation:

The first thing we need to do is find the third angle using the angle sum theorem.

The angle sum theorem states that the sum of the interior angles of a triangle is always 180°. A + B + C = 180°

Let's call our missing angle A, so

A + 41° + 62° = 180°

A + 103° = 180°

A = 180° - 103°

A = 77°

Now we can use the rule of sines to find side [tex]x[/tex]:

[tex]\frac{x}{sin(41)} =\frac{14}{sin(77)}[/tex]

[tex]x=\frac{14sin(41)}{sin(77)}[/tex]

[tex]x=9.4[/tex]

We can conclude that the correct answer is 9.4 cm

Answer:

[tex]\frac{13}{1}[/tex]

[tex]\frac{195}{15}[/tex]

[tex]\frac{130}{10}[/tex]

Step-by-step explanation:

we have the ratio

[tex]\frac{65}{5}[/tex]

step 1

Divide both sides (numerator and denominator) by 5

[tex]\frac{65/5}{5/5}=\frac{13}{1}[/tex]

therefore

[tex]\frac{13}{1}[/tex] is proportional to [tex]\frac{65}{5}[/tex]

step 2

Multiply both sides (numerator and denominator) by 3

[tex]\frac{65*3}{5*3}=\frac{195}{15}[/tex]

therefore

[tex]\frac{195}{15}[/tex] is proportional to [tex]\frac{65}{5}[/tex]

step 3

Multiply both sides (numerator and denominator) by 2

[tex]\frac{65*2}{5*2}=\frac{130}{10}[/tex]

therefore

[tex]\frac{130}{10}[/tex] is proportional to [tex]\frac{65}{5}[/tex]

Answer:

17

Step-by-step explanation:

Since the number has only 2 factors it must be a prime number

A prime number has 2 factors 1 and itself

Since the difference between the factors is 16 then

17 - 1 = 16 and so the number is 17 with factors 1 and 17

Answer:

i think it might be fact families

Step-by-step explanation:

this is because they use the 3 same #rrs

Answer: Inverse Operations

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the multiples of 6 are : 6, 12, 18, .....

The multiples of 3 are : 3, 6, 9, 12, ......

The multiples of 2 are : 2, 4, 6, 8, 10, 12, ......

The common multiples are 6 and 12 .....

The least common multiple is 6

it would be 25.2 hope this helps

Answer:

14.4

Step-by-step explanation:

AB / BC = AD/CD

AB/6.7 = 13.3 / 6.2

AB = 13.3 * 6.7 / 6.2

AB = 14.4

Answer:

The answer is 14.4 units.(option A)

Step-by-step explanation:

Angles BAC and CAD are equal.

We can solve this by using the proportional relation.

[tex]\frac{AB}{BC} =\frac{AD}{CD}[/tex]

Let AB be = x

So, [tex]\frac{x}{BC} =\frac{AD}{CD}[/tex]

[tex]\frac{x}{6.7} =\frac{13.3}{6.2}[/tex]

[tex]\frac{x}{6.7} =2.145[/tex]

[tex]x=6.7\times2.145[/tex] = 14.37 units

And rounding to nearest tenth, we get 14.4 units.

Answer:

33:100- 6:4- 5:3- 11/3

Step-by-step explanation:

First turn into even fractions

5:3= 1 2/3

6:4=1 1/2

11/3= 3 2/3

3/1= 3

33:100= 1/3

Then look at the numbers.

Answer:

100%

Step-by-step explanation:

do you need an explanation?

The equation 4x + y = 7 can be rewritten in slope-intercept form as y = -4x + 7, where -4 is the slope and 7 is the y-intercept. This format makes it easier to graph the line as it directly gives us the slope and y-intercept.

To rewrite the equation 4x + y = 7 in slope-intercept form (y=mx+b), we need to solve for y. This equation can be transformed by subtracting 4x from both sides, resulting in y = -4x + 7. Here, -4 is the slope (m) and 7 is the y-intercept (b).

In comparison, if we look at the given graphic (Figure A1), we see another equation where the slope or 'm' is 3 and the y-intercept 'b' is 9. This slope and y-intercept gives us the equation y = 3x + 9. Thus, it can be seen that y = mx + b format helps to better understand the geometry of a linear equation on a graph, with 'm' indicating the slope and 'b' being the y-intercept.

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the answer is 11 trays