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2 years ago

(Which is the simplified form of the expression ? 3(7/5x+4)-2(3/2-5/4x)

Mathematics

1 answer:

Illusion [34]2 years ago

5 0

Answer:

let's see what to do buddy....

Step-by-step explanation:

$3( \frac{7}{5}x + 4) - 2( \frac{3}{2} - \frac{5}{4}x) \\ \\ = \frac{21}{5}x + 12 - 3 + \frac{5}{2}x \\ \\ = \frac{(21 \times 2) + (5 \times 5)}{10} x + 9 = \\ \\ \frac{42 + 25}{10} x + 9 = \frac{67}{10}x + 9 = 6.7x + 9$

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Find the value of x.

vlada-n [284]

8 / 2 equals to 4

therefore 10 / 2 will be equal to 5

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2 years ago

What is the answer to∠X≅∠X

Galina-37 [17]

Answer: ∠A ≅ ∠A; reflexive property

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2 years ago

What do outliers, mean, median, mode, and range tell you PLEASE SHOW EXAMPLES!!!!!!

Zanzabum

Hello there!

Outlier is a value in a data set that varies significantly from the rest of the data.

Example: Way too low: 1, 45, 58, 60, 63, 75

Outlier = 1

Way too high: 4, 3, 2, 21, 7

The number should be the order from least to greatest are: 2, 3, 4, 7, 21.

Outlier = 21

It impact the mean and the median in different ways.

Data with no outlier: 4, 5, 7, 11, 12, 15

54÷6=9

Mean = 9

Data with an outlier: 4, 5, 7, 11, 12, 15, 58

112÷7=16

Mean = 16

Median is the middle value in an ordered list of numbers.

Example:

Numbers already in order:

1, 5, 8, 10, 13

Numbers not already in order:

13, 1, 5, 10, 8

1, 5, 8, 10, 13, 15

8+10=18 or 18÷2=9

Median =9

Range is a difference between the maximum (highest) and minimum (lowest) values. It has one type of measure of spread.

Example:

Data in order: 23, 27, 39, 53, 62, 84

84-23=61

Data not in order: 272, 52, 67, 201, 43, 256

272-43=229

Hope this helps! Thank you for posting your question at here on Brainly.

-Charlie

3 0

3 years ago

Calculate the length of sides triangle pqr and determine weather or not triangle is a right angled. P(-4,6) q(6,1) r(2,9)

Tom [10]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :-</h3>

We have given the coordinates of the triangle PQR that is P(-4,6) , Q(6,1) and R(2,9)

We have to calculate the length of the sides of given triangle and also we have to determine whether it is right angled triangle or not

<h3>Let's Begin :-</h3>

Here, we have 

Coordinates of P =( x1 = -4 , y1 = 6)
Coordinates of Q = ( x2 = 6 , y2 = 1 )
Coordinates of R = ( x3 = 2 , y3 = 9 )

By using distance formula 

$\pink{\bigstar}\boxed{\sf{Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}$

Subsitute the required values in the above formula :-

Length of side PQ

$\sf{ = }{\sf\sqrt{ (6 - (-4))^{2} + (1 - 6)^{2}}}$

$\sf{ = }{\sf\sqrt{ (6 + 4 )^{2} + (- 5)^{2}}}$

$\sf{ = }{\sf\sqrt{ (10)^{2} + (- 5)^{2}}}$

$\sf{ = }{\sf\sqrt{ 100 + 25 }}$

$\sf{ = }{\sf\sqrt{ 125 }}$

$\sf{ = 5 }{\sf\sqrt{ 5 }}$

Length of QR

$\sf{ = }{\sf\sqrt{(2 - 6)^{2} + (9 - 1)^{2}}}$

$\sf{ = }{\sf\sqrt{(- 4 )^{2} + (8)^{2}}}$

$\sf{ = }{\sf\sqrt{16 + 64 }}$

$\sf{ = }{\sf\sqrt{80 }}$

$\sf{ = 4 }{\sf\sqrt{5 }}$

Length of RP

$\sf{ = }{\sf\sqrt{ (-4 - 2 )^{2} + (6 - 9)^{2}}}$

$\sf{ = }{\sf\sqrt{ (-6 )^{2} + (-3)^{2}}}$

$\sf{ = }{\sf\sqrt{ 36 + 9 }}$

$\sf{ = }{\sf\sqrt{ 45 }}$

$\sf{ = 3}{\sf\sqrt{ 5 }}$

We have to determine whether the triangle PQR is right angled triangle

<h3>Therefore, </h3>

By using Pythagoras theorem :-

Pythagoras theorem states that the sum of squares of two sides that is sum of squares of 2 smaller sides of triangle is equal to the square of hypotenuse that is square of longest side of triangle

That is,

$\bold{ PQ^{2} + QR^{2} = PR^{2}}$

Subsitute the required values,

$\bold{ 125 + 80 = 45 }$

$\bold{ 205 = 45 }$

From above we can conclude that,

The triangle PQR is not a right angled triangle because 205 ≠ 45 .

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2 years ago

Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide

Svetradugi [14.3K]

Answer: Pt = Ng / Nt

Step-by-step explanation:

Where Ng = number of customers that order food to go as reported at Anita's

Nt = total number of customers reported at Anita's

Pt = probability that a customer will order food to go at Anita's

Pt= Ng/Nt

Goodluck...

8 0

3 years ago