Line G and lineH are complementary angles. If mlineG = (6x - 15)' and mlineH= (3r + 6)", find H

Answer:

The  solution is (10, 11)

Step-by-step explanation:

We have the following equations to work with

[tex]\dfrac{1}{2}x + 6 = 2x + 31\\2.5x + 6 = 31\\[/tex]

Subtract 6 from both sides

[tex]\\\\\Rightarrow 2.5x = 31 - 6 = 25[/tex]

Divide by [tex]2.5x[/tex] on both sides:
[tex]\Rightarrow x = \dfrac{25}{2.5} = 10[/tex]

Substitute for x in the first equation
[tex]y = \dfrac{1}{2}x + 6\\\\\rightarrow y= \dfrac{1}{2}\times 10 + 6\\\\\rightarrow y=5 + 6 = 11\\\\[/tex]

So the So the solution is

Maximum 8 people can go to the amusement park.

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. One of the branches of mathematics,

1, deals with the application of addition, subtraction, multiplication, and division to nonnegative real numbers, occasionally incorporating transfinite cardinals.

Given Data

$325 to spend on parking and admission. Parking is $16.50, and tickets cost $38.50 per person, including tax.

Parking = $16.50

Total money = $325

Money left after spending money on parking:

$325 - $16.50

$308.5

Now, dividing money left by fees of admission;

Cost of ticket = $38.5

Money left = $308.5

Number of people who can go inside=

= [tex]\frac{308.5}{38.5}[/tex]

= 8.01

Maximum 8 people can go to the amusement park.

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Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).

It should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.

This will be illustrated thus:

= 10 + 2 × 3² - 2

= (10 + 2) × (3² - 2)

= 12 × (9 - 2)

= 12 × 7

= 84

Therefore, the expression is true.

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Boys to girls

3 : 5

? : 35

35/5 = 7

5 x 7 gives number of girls.

So, 3 x 7 will give number of boys, which is 21

Thus, there are 21 boys

(basically, you find the number you multiplied by 5 to get 35, then, multiplying that number on the other side, which was 3 in this case. )

Hope this helps!

The equation of the line. a line that is parallel to the graph of 2x+3y=5 and contains the point (3,-1) is y+1 = -2/3 (x - 3)

A line is defined by the shortest distance between two points,

The equation of a line in point slope form is expressed as;

y - y₁ = m(x-x₁)

where

m is the slope

(x₁, y₁) is any point on the line

Given the following parameters

Point = (3, -1)

Given the equation 2x + 3y = 5

3y = -2x + 5

y = -2/3x + 5

Slope = -2/3

Substitute

y - (-1) = -2/3(x-3)

y+1 = -2/3 (x - 3)

This gives the required equation of the line.

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Answer:

47

Step-by-step explanation:

you said 22 divided by 1034, which is 0.02127659574 when i put it in my calculator, so im just going to guess that was a typo lol
22*47=1034, so 1034/27 is 47

Answer:

by dividing with a small number like 2

Step-by-step explanation:

the LCM of 4 is4

Answer: 14: [tex]\sqrt{5}[/tex]

16:[tex]\sqrt{26}[/tex]

Step-by-step explanation:

Points for 14: (2,0) and (0,-1)

-1 - 0 = -1

0 - 2 = -2

Use the equation of a triangle [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]\sqrt{-1^{2} +-2^{2} } =\sqrt{5}[/tex]

Points for 16: (2,2) and (-3,3)

Answer:

Increasing

Domain: [-5, ∞)

Domain: x≥-5

Range: [-0.5,∞)

Range: y≥-0.5

There is a 1/6 chance of getting the same number.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Probability is the ratio of favorable outcomes to all other potential outcomes of an event.

two moral six-sided dice are used.

It is necessary to calculate the odds that the dice will yield the same result.

A total of 36 results were attained.

Results that are favorable include (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

Total: 6 positive outcomes.

As a result, the likelihood of an occurrence is determined by the proportion of favorable outcomes to all other potential outcomes.

A shift in the values

The likelihood of an event is 1/6 or 6/36.

The likelihood that two dice will produce the same number is therefore 1/6.

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Answer:

A and E only

Step-by-step explanation:

Answer: I pretty sure that the answer is -169

Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!

The value of the expression (−13)³ when evaluate is equal to -2,197.

As given in the question,

Given expression is equal to  :

( -13 )³

Property used while evaluating the expression:

( - )  × ( - ) = ( + )

( + ) × ( - ) = ( - )

Evaluate the given expression ( -13 )³ value we get,

( -13 )³

Multiply first two terms we get :

= ( -13 ) × ( -13 ) × ( -13 )

= ( 169 ) × ( -13 )

Now , multiply 169 to (-13 ) the value we get

= ( -2, 197 )

Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.

The complete question is:

What is the value of (−13)³ when evaluated?

a. −169

b. 39

c. −2,197

d. 2,197

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Answer: Im not sure what is supposed to happen here but x=3

Step-by-step explanation:

Answer:

p = 4

Step-by-step explanation:

2p + 7 = 15 ( subtract 7 from both sides )

2p = 8 ( divide both sides by 2 )

p = 4

Answer:

P = 4

Step-by-step explanation:

2P + 7 =15

2P = 15 - 7

2P = 8

P = 8/2

P = 4

Answer:

68

Step-by-step explanation:

because first u have to add it all up then take away

For the given discrete data series,

Median = 4'7"

Mode = 4'8"

Range = 1'3"

To begin with, let us arrange the given discrete data series in ascending order as follows:

3'7"     3'11"    4'3"    4'6"      4'7"      4'7"     4'8"      4'8"      4'8"     4'9"   4'10"

To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"

To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.

To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"

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The equation to find the elapsed time is  -16t^2 + 20 + 15 = 0 and the elapsed time is 1.479 seconds

The given parameters are:

h(t) = -16t^2 + 20

Also, we have:

Safety net = 15 feet below

This means that

h(t) = -15

Substitute h(t) = -15 in h(t) = -16t^2 + 20

So, we have

-16t^2 + 20 = -15

Add 15 to all sides

-16t^2 + 20 + 15 = 0

Using a graphing calculator, we have

t = -1.479 and t = 1.479

Time cannot be negative

So, we have

t = 1.479

Hence, the time is 1.479 seconds

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The greatest common factor of 24, 36 and 72 is 12.

12 is the greatest common factor of 24, 36, and 72

While graph A shows a Strong Negative Correlation (Option E), Graph B shows a No Correlation. (Option C)

A significant negative correlation, on the other hand, suggests a substantial relationship between the two variables, but that one rises while the other falls. For example, a correlation of -0.97 suggests a high negative connection, whereas a correlation of 0.10 shows a mild positive correlation.

A scatter plot, also known as a scatter graph or scatter chart, employs dots to represent the values of many numerical variables. To demonstrate a weak positive association, the value of Y grows slightly as the value of X increases.

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The slope of the graph that passes through points (1, -2) and (0, 2) is: -4.

Using two points on a given graph, (x1, y1) and (x2, y2), the slope (m) of the graph can be calculated by plugging the coordinates of the two points into the slope formula:

Slope (m) = change in y/change in x = (y2 - y1)/(x2 - x1).

Given two points on a line as shown in the graph attached below, (1, -2) and (0, 2), the slope of the graph is calculated as:

Let,

(1, -2) = (x1, y1)

(0, 2) = (x2, y2)

Plug in the values:

Slope of the graph (m) = (2 - (-2))/(0 - 1)

Slope of the graph (m) = (2 + 2)/(0 - 1)

Slope of the graph (m) = 4/-1

Slope of the graph (m) = -4.

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Answer:

the other guy is right I got 100% on my quiz

Step-by-step explanation:

Answer:8s^3 , 27s^3 , n^3s^

Step-by-step explanation:

As we know that

Volume of the cube = side × side × side

let us assume that one side is s

side = 2s

Then,

Volume = 2s ×2s×2s

=8s^3

side =3s

Then,

Volume= 3s×3s×3s

 =27s^3

side =ns

Then,

Volume= ns×ns×ns

 =n^3 s^3



Answer:

B

Step-by-step explanation:

reduction is [tex]\frac{4}{5}[/tex] per plant , that is

[tex]\frac{4}{5}[/tex] × $6 = 0.8 × $6 = $4.80 per plant

total cost = 5 × $4.80 = $24.00

Ths. nth term of the sequence will be 4 - 3n.

The next three terms will be -5, -8 and -12.

It should be noted that a sequence simply represents the numbers that have a common term between them.

In this case, the numbers that are given include 7, 4, 1 and -2.

It should be noted that the common difference will be:

= Second term - First term

= 4 - 7

= -3

The first term is 7. The nth term will be:

= a + (n - 1)d

= 7 + (n - 1)-3

= 7 -3n + 3

= 4 - 3n

The next three terms will be the difference of three subtracted from the numbers. This will be -5, -8 and -12.

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Answer:

32%

Step-by-step explanation:

Well, 14+8+3=25

So, 8/25=32/100, which means 32%

Answer:

Person above me is right

The distance that the boat travel is 17.5 miles per hour.

A boat travels upstream on a Mississippi river for 3.5 hours and the return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y = the speed that was traveled upsteam.

This will be illustrated as

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream will be:

= 3.5 × 5

= 17.5 miles per hour

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The scale of 1 cm to 5 mi is smaller.

An object is enlarged in a scale drawing. An expansion increases or decreases the size of an object by multiplying each of its lengths by a scale factor. Consequently, when using scale drawings: Find out what the drawing's scale is. Use a ruler to measure the distance on the drawing (or, if available, count the number of squares). To get the distance in real life, multiply the measurement by the scale.

Given Data

Drawing 1 uses the scale of 1 cm to 5 mi

Drawing 2 uses the scale of 1 cm to 10 mi

the scale of 1 cm to 5 mi is smaller.

1 inch to 5 miles scale means that on the drawing, 1 inch corresponds to 5 actual miles. If a road is depicted on a drawing as being 2 inches long, it is actually 10 miles long.

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Answer:

-8, -6, -4, -1, 3

Step-by-step explanation:

Hope it helps! =D

The sample mean of z = 247-925

Given Data:

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18.

Mickey Mantle played for the New York Yankees for 18 years, from 1951 to 1988. The average annual number of home runs he hit was as follows:

X < - C (  13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18)

Y < - Cumsum (X)

Y

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18

> W < - 714 - Y

> W

Y

13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536

> W < - 714 - Y

> W

701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178

> Z < - C (X, Y, W)

>Z

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18

13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536

701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178

a) Z's minimal value = 13

b) Sum of the element's squares in Z = 5853370

c) Z's sample mean = 247.9259

d) The variation of z in samples (variance) = 478133.92

e) Z's Standard Deviation = 218.6639

f) W's 18th element = 178

g) X's Sample Variance = 142.6536

h) The sample variance of 5x = 3566.34

i) Length of elements in 5x = 18

j) The unique (different) values are in Z = 52

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