Which rule dilates a figure in the coordinate plane by a scale factor of 5?

Applying the properties of operations; it follows that; 3.5n + 4 (5 1/4n - 1.5) is equivalent to -21 (2/7 - 7/6n).

There are four (4) basic properties of real numbers which apply to addition and multiplication: namely; commutative, associative, distributive and identity.

Hence, by the cumutative property of multiplication and associative property of addition, it follows that;

Hence, it follows that the expressions are equivalent.

Read more on properties of operations;

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Using the normal distribution and the central limit theorem, it is found that the probability is given by:

e. 0.611

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 50, \sigma = 10, n = 9, s = \frac{10}{\sqrt{9}} = 3.3333[/tex]

The probability that this sample mean will be between 48 and 54 is the p-value of Z when X = 54 subtracted by the p-value of Z when X = 48, hence:

X = 54:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{54 - 50}{3.3333}[/tex]

Z = 1.2

Z = 1.2 has a p-value of 0.885.

X = 48:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{48 - 50}{3.3333}[/tex]

Z = -0.6

Z = -0.6 has a p-value of 0.274.

0.885 - 0.274 = 0.611, hence option e is correct.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Step-by-step explanation:

a + 156° = 180° ( supplementary angle )

a = 180° - 156°

a = 24°

Answer: 7

Step-by-step explanation:

its b i know

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

a^2+b^2=c^2

Where c is the length of hypotenuse

and a, b are lengths of the legs.

Put in 6 for c,

Put in 3 for a and you get 9+b^2=36

Subtract 9 from both sides and get b^2= 27

Then find the square root of both sides to get b, so the answer is the square root of 27.

The cloest square root is 5, then apporixmate the tenths value and see if they work.

Answer: 5.2

Answer:

square root of 27, 5.2

Step-by-step explanation:

(I know I'm late but-)

3^2+b^2=6^2

9+b^2=36

b^2=27

Part A: Jon has 442 miles left to drive.

ex: 625 - 183 = 442

Answer:

Step-by-step explanation:

The distributive property is for example 3(2*4) the outside number multiplies everything inside the parenthesis. For the communitive, its like opposites, but they give the same answer, for example 4*5, 5*4. And for associative is like the distributive property, but not at the same time, for example,  (a*b)*c = a*(b*c) it has the numbers, but pluged in in another type of way


Hope this helps!

Answer:

First you add up all the numbers and then the unknowns.

Step-by-step explanation:

2q^2+12-2q-5q

2q^2+12-3q

2q^2-3q+12

Answer:

first, how much were her songs? It's two songs each, and their separate prize was 0.99:

total prize was 2*0.99=1.98

this gets added to the membership prize:

19.99+1.98=21.97

you can also calculate this by rounding all the numbers (20+1+1) and substracting the amount you rounded (three times one cent) - the result would be the same.

B     19.99+.99n

C   okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total

D  N=99 songs

Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer:

(60/100) = (12/20)

Step-by-step explanation:

Answer: A, C and E.

Step-by-step explanation: They all equal to 5.

Answer:

106⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles is equal to 180⁰

Answer:

please see photo for detailed analysis

Correct solution:

Answer:

k = 6

Step-by-step explanation:

since (k, 7 ) lies on the line then it satisfies the equation.

substitute the coordinates of the point into the equation and solve for k

2k - 7 = 5 ( add 7 to both sides )

2k = 12 ( divide both sides by 2 )

k = 6

Answer:

k = 6

Step-by-step explanation:

The point (k, 7) lies on the line with the equation 2x - y = 5

Answer:

The correct answe is H , if yu sub the x value in each of the equations yu should get y

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]

To find the slope of a line (m):

To find the y-intercept of a line (b):

We're given a set of coordinates for this linear relation.

First, solve for the slope.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):

[tex]m=\dfrac{1-(-7)}{2-(-2)}\\\\m=\dfrac{1+7}{2+2}\\\\m=\dfrac{8}{4}\\\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=2x+b[/tex]

Now, let's solve for the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in any of the given points:

[tex]1=2(2)+b\\1=4+b\\b=-3[/tex]

Therefore, the y-intercept of the line is 3. Plug this back into [tex]y=2x+b[/tex]:

[tex]y=2x-3[/tex]

[tex]y=2x-3[/tex]

Answer:

140

Step-by-step explanation:

5%/100 = 7/?

7 times 100 = 700

700 divided by 5 = 140 coins

Answer:

y=2x-5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2, and passes through the point (4,3)

We want to use point-slope form to find this equation of the line, yet we want to write this in slope-intercept form

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

As we are already given the slope and a point, we can substitute these values into the formula to find the line.

First, substitute 2 as m in the equation:

[tex]y-y_1=2(x-x_1)[/tex]

Now substitute 4 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex]

[tex]y-3=2(x-4)[/tex]

This is the equation of the line in point-slope form.

Now we need to write it in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We can actually get to slope-intercept form from point-slope form.

First, distribute 2 to both x and -4 on the right side

y-3=2x-8

Now add 3 to both sides

y=2x-5

Hope this helps!

Answer:

The total number of students that are in Ms. Cunningham's class is 30 students

Step-by-step explanation:

the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.

Total number of students = 12 + 18 = 30

Answer:

third side: 2√14

using pythagoras theorem:

a² + b² = c²

Answer:

The unknown side of this triangle is √56 or 2√14

Step-by-step explanation:

Let the unknown side of this right angled triangle be x , so by using Pythagoras theorem we can find out the third side .

=> P² + B² = H²

=> P² = H² - B²

=> P² = 9² - 5²

=> P² = 81 - 25

=> P² = 56

=> P = √56 or 2√14

Answer:

Here;

Step-by-step explanation:

The numbers greater than 10 are 11 and 12 on the dice meaning we've got 2 options out of 12.

So, 2/12 gives 1/6 in its simplest form

Answer: 170

Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.

Answer:

<CDA = 170⁰

Step-by-step explanation:

<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}

10⁰ + <D = 180⁰

<D = 180⁰ - 10⁰ = 170⁰

<D = x⁰ = 170⁰ = <CDA

The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The height of a right triangular prism is 11/6 inches.

Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.

The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.

Then the surface area of the prism will be

[tex]\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2[/tex]

More about the prism link is given below.

https://brainly.com/question/12649592

Answer:

0.25 or 1/4

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Half of half a mile is one quarter mile:  (1/2)(1/2) = 1/4

Step-by-step explanation:

The number of seats in each row is 8 and the total number of seats is between 70 and 150.

Let x be the number of rows, then we have the inequality:

Divide all sides by 8 to get:

So the number of rows is between 9 and 19 both inclusive.

All possible number of rows

Answer:

1.  9 rows

2.  see below

3.  9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Step-by-step explanation:

Please note that I believe there are typing errors in the question and that the given information should be:

Question 1

To determine the least possible number of rows in the auditorium, divide the least number of seats by the number of seats in a row:

⇒ 70 ÷ 8 = 8.75

As the answer is a decimal, round it up to the nearest whole number.

Therefore, the least possible number of rows in the auditorium is 9 rows.

Question 2

Find the greatest number of rows by dividing the greatest number of seats by the number of seats in a row:

⇒ 150 ÷ 8 = 18.75

As there should be fewer than 150 seats we cannot round the number up (as this would make there be more than 150 seats), so instead must round it down to 18.

Therefore, the greatest number of rows in the auditorium is 18 rows.

Question 3

As we have found the least number of rows in question 1 and the greatest number of rows in question 2, all we need to do is list all the numbers between (and including) these numbers.

Therefore, all the possible numbers of rows in the auditorium are:

9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Answer:

KN = 11

Step-by-step explanation:

In right triangle LNM, by Pythagoras theorem:

[tex]LN=\sqrt{LM^2 -MN^2} \\ \\ \implies \: LN=\sqrt{ {(100)}^{2} -(80)^2} \\ \\ \implies \: LN=\sqrt{ 10000 -6400} \\ \\ \implies \: LN=\sqrt{ 3600} \\ \\ \implies \: LN=60[/tex]

In right triangle LNK, by Pythagoras theorem:

[tex]KN = \sqrt{LK^2-LN^2}[/tex]

[tex]\implies KN = \sqrt{(61)^2-(60)^2}[/tex]

[tex]\implies KN = \sqrt{3721-3600}[/tex]

[tex]\implies KN = \sqrt{121}[/tex]

[tex]\implies\huge{\orange{ KN =11}}[/tex]

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Before, Finding the length of KN, we must have to find the length of LN. So

[tex] \: [/tex]

Here, LNM is a right angled triangle where measure of two sides are given and we are to find the measure of the third side LN(Perpendicular).

[tex] \: [/tex]

We'll find the measure of third side with the help of the Pythagorean theorem.

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the above formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (NM) {}^{2} + (LN {)}^{2} = ( LM{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (80) {}^{2} + (LN {)}^{2} = ( 100{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = ( 100{)}^{2} - (80) {}^{2}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 10000 - 6400}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 3600}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad LN = \sqrt{3600} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad LN = \frak{60}}}} \\ \\[/tex]

Therefore,

[tex] \\ [/tex]

As, we found the length of LN, now we can find the length of KN.

Where,

So, in the right angled triangle LKN, by Pythagorean theorem we get,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + (LN {)}^{2} = ( LK{)}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + {60}^{2} = ( 61{)}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = ( 61{)}^{2} - {(60)}^{2}}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} =3721 - 3600}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = 121}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad KN = \sqrt{121} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad KN = \frak{11} }}} \\ \\[/tex]

Therefore,