is 4/5 equivalent to 16/20

The area of triangle XYZ is of 13.3 units².

The missing information are the vertices of the triangle, given as follows:

The area of a triangle is given by half the base multiplied by the height, that is:

A = 0.5bh

For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:

[tex]b = \sqrt{(1 + 3)^2+(-1 - 2)^2}[/tex]

b = sqrt(25)

b = 5.

The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:

[tex]h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}[/tex]

h = sqrt(4² + 3.5²)

h = 5.32.

Thus the area of the triangle is given by:

A = 0.5 x 5 x 5.32 = 13.3 units².

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Answer:

I don't get the question will please can u snap it so I can see it my self and I will help u

Answer: -2 1 over 2

Step-by-step explanation:

The profit function is P(x) = ( - x² / 5000 ) + 11.9x - 95000.

35,000 baseball game tickets were sold at $5 per ticket.

When the price is raised to $6, then 30,000 tickets were sold.

The variable and fixed costs for the ballpark owners are $0.10 and $95,000 respectively.

Let's say x is the number of tickets sold, and P is the profit.

Then,

P = ax + b

At P = 5,

5 = (35000)a + b                                                                                  ---------(1)

At P = 6,

6 = (30000)a + b                                                                                  --------(2)

Subtracting (2) from (1),

5 - 6 = (35000)a + b - (30000)a - b

- 1 = 5000(a)

a = ( - 1/5000)

So if a = ( - 1/5000),

Then,

5 = (35000)a + b

5 = (35000)( - 1 / 5000 ) + b

5 = - 7 + b

b = 12

Therefore,

P(x) = ( - x /5000) + 12

Now, the profit function is:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Now, R(x) =  xp(x)

R(x) = x[ ( - x/5000) + 12]

R(x) = ( - x² / 5000 ) + 12x

The fixed cost is F(x) = $95000

Hence, the costs will be:

C(x) = 95000 + (0.10)x

Therefore the profit function is:

P(x) = R(x) - C(x)

P(x) = ( - x² / 5000 ) + 12x - 95000 - (0.10)x

P(x) = ( - x² / 5000 ) + 11.9x - 95000

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Step-by-step explanation:

f(x) = 4x² - 7 , x = -2

= 4x² - 7

= 4.(-2)² - 7

= 4.4 - 7

= 16 - 7

= 9

Answer:

24y^2

Step-by-step explanation:

4y x 6y =

24y ^2

24y to the second power

Answer:

5500 is correct Answer.

Please mark me as brainlist answer.

The estimation of the value is A. 40000.

Based on the information, we are to estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019.

It should be noted that 18789 to the nearest ten thousand is 20000.

Also, 19019 to the nearest ten thousand will be 20000.

Therefore, the addition will be:

= 20000 + 20000

= 40000

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Answer: f < 9

Step-by-step explanation:

first, cross multiply 2 and 2:

f - 5 < 4

f < 9

Answer:

f < 9

Step-by-step explanation:

=> (f-5)/2 < 2

multiplying both sides by 2

=> 2(f-5)/2 < 2×2

=> f-5 < 4

adding 5 to both sides

=> f-5+5 < 4+5

=> f < 9

The hotel charge in city one is $767 and the hotel charge in city two is $2276.

Let x = the charge in 1st city before taxes and

Let y = the charge in 2nd city before taxes

The equation before taxes:

y = x ₊ 1500 ..eq(1)

The equation for total tax paid:

0.075x ₊ 0.055y = 700 ..eq(2)

Substitute equation 1 that is y value in equation 2.

0.075x ₊ 0.055(x₊1500) = 700

0.075x ₊ 0.055x ₊ 82.5 = 700

add the variables and subtract the constants.

0.805x = 700 ₋ 82.5

0.805x = 617.5

x = 617.5/0.805

x = 767

now substitute x value in equation 1.

y = 767 ₊ 1500

y = 2267

Hence the hotel charge before the tax in the first city was $767 and in the second city was $2267.

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Answer:

No

Step-by-step explanation:

Check by changing to a common denominator

The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.

Given the difference between two numbers is 2811.

The bigger number is 4200.

The smaller number is = ?

let the smaller number be 'x'

as the statement says difference between two numbers = 2811

Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.

⇒ bigger number ₋ smaller number = 2811

⇒ 4200 ₋ x = 2811

⇒ ₋ x = 2811 ₋ 4200

⇒ ₋ x = ₋ 1389

cancel the negative sign from both sides.

x = 1389

hence we get the smaller number as 1389.

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Answer: 139

Step-by-step explanation:

first, 4 can go into 5 once so you would put one down --> 5-5= 1

bring down the one and then put down the 5 from the tens place

4 can go into 15 three times which would be 15-12 = 3

so at the top, you would have 13 so far

then with the 3 left bring down the 6 from the hundreds place from the 556

lastly, since 4 can go into 36 nine times you would put 9 down next to 13 on the top which would make it 139

(Sorry if it doesn't make that much sense)

Answer:

15

Step-by-step explanation:

The greatest common factor of 45 and 60 is 15.

Answer: 0

Step-by-step explanation:

-2+-1 = -3

-3+0 = -3

-3+1 = -2

-2+2 = 0

Disclaimer: The conversion graph is missing in the question.

60 gallons is equal to 227.125 litres.

Refer to the attached image for the conversion of litres to gallons.

And gallons to litres.

In this image, a vertical line is drawn from the given value of gallon until it meets the cross line. And then a horizontal line is drawn, which touches the litres line.

At the point at which this horizontal line touches the litres line, that value is considered as the corresponding litres for the given gallons.

Similarly, a vertical line is drawn from the litres line until it meets the cross line. And then a vertical line is drawn, which touches the gallons line.

At the point at which this vertical line touches the gallons line, that value is considered as the corresponding gallons for the given litres.

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By evaluating the given linear relation, we conclude that the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

Here we have the linear relation:

9x - 6y = 18

And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.

For example, the first pair has y = 0.

Evaluating that we get:

9x - 6*0 = 18

9x = 18

x = 18/9 = 2

Then we have the pair (2, 0).

The second has x = 0, replacing that we get:

9*0 - 6*y = 18

y = 18/-6 = -3

So we have the pair (0, -3)

The third has x = 1, replacing that:

9*1 - 6y = 18

-6y = 18 - 9 = 9

y = 9/-6 = -3/2

So we have the pair (1, -3/2)

The last value on the table is y = 4, replacing that:

9x - 6*4 = 18

9x - 24 = 18

9x = 18 + 24 = 42

x = 42/9 = 14/3

Then the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

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Answer:

Please see picture below.

Step-by-step explanation:

Answer:

(5x) + 3 = 7

Step-by-step explanation:

Times means 'The answer when you multiply' So we are working in multiplication. ( x )

5x is the multiplication.

It says 'and' which can also mean addition. So we add 3. So far our equation is: (5x) + 3 (Brackets are needed as we are multiplying 5 by x and not multiplying 5 by x+3)

Lastly it says the answer must be 7 so we add that at the end. So the answer is:

(5x) + 3 = 7

The equation of the line passing through given points (-3, -10) and perpendicular to other is y + 2x + 7 = 0.

The equation of the perpendicular line is given as;

x − 2y = 6

Write the equation in standard form;

y = x/2 - 3

Where, slope of the line m₁ is (1/2) and y -intercept is (-3).

The other line passing perpendicular on this line has a slope: m₂.

The relation between slopes of perpendicular lines are-

m₁ × m₂ = -1

m₂ = -1/m₁

m₂ = -1/(1/2)

m₂ = -2

Now, the coordinates of the line are: (-3, -1)

The equation of the line will be;

(y - y₁) = m₂ (x – x₁)

Put the values;

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

y + 1 = -2x - 6

y + 2x + 7 = 0

Thus, the equation of line is y + 2x + 7 = 0.

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Answer:

If your number was 250,000,000,000

The amount of social security would be 52,000,000,000

Step-by-step explanation:

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

[tex]|\frac{1}{4}x+2 | -3=5[/tex]

Solving the equation:

[tex]or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32[/tex]

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

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Required answer:

Detailed explanation:

To find the slope of the line, given that it passes through two points, use the formula:

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

Where:

Plug in the data:

[tex]\bf{m=\dfrac{6-6}{3-(-4)}=\dfrac{0}{3+4}=\dfrac{0}{7}=\boxed{\bf{0}}[/tex]

- - - - - - - - - - - - - - - - - - - - - -

Given the pair of points: (-5,8) and (-5,-6), plug them into the slope formula:

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

Evaluate:

[tex]\bf{m=\dfrac{-6-8}{-5(-5)}=\dfrac{-14}{-5+5}=\dfrac{-14}{0}=\boxed{\bf{Not\:De fined}}[/tex]

- - - - - - - - - - - - - - - - - - - - - - -

The percent will be less than 30% after the year 2017

Let 'p' be the percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014.

Let 't' be the number of years after 2000.

We have to find when the percent is less than 30%.

The function modelling the percent and the number of years through 2000 and 2014 is p= -1.773t+60.442

So first we need to find the number of years corresponding to 30%.

Substitute p = 30 in the above linear equation.

i.e., 30 = -1.773t+60.442

-1.773t = 30 - 60.442 = -30.442

Therefore, t = 30.442/1.773 = 17.17 ≈ 17 years

Since t denotes the number of years after 2000, when t = 17, the year is 2000+17 = 2017

So the percent will be less than 30% after the year 2017

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The question you are asking doesn't provide a ton of info on what you are looking for, however:

________________________________________________________

An integer is a number with no fraction part or decimal, and it contains both negative and positive numbers, including the number 0 on a X and Y graph.

________________________________________________________

Hope this kind of helps you to better understand the topic and hopefully get closer to the answer you seek. Good luck!

Answer:

Infinite number of solutions

No unique solution

Step-by-step explanation:

5x - 2y = 10    (1)

y = 5/2x - 5       (2)

Multiply (2) by 2 to get
2y = 5x - 10  

Rewrite the above equation as 5x - 2y = 10 (3)

Since both equations are the same, we are provided with a single equation in 2 variables there are infinite solutions

Answer:

14x−x

2

Step-by-step explanation:

Perimeter is 2x + 2y = 28 (y is the length BTW)

To find y, transfer equations

28-2x=2y

Divide both sides by 2

14-x = y

Now you have your length in terms of x

Multiplt length and width

x(14-x)

14x - x {}^{2}14x−x

2

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

Answer:

Subtraction

Step-by-step explanation: Your subtracting 4 to the equation