Find AB if BC = 4, BD = 5, and AD = 2.
show your work.

Hey there!!

The base fee was $15.95 and an extra of $94 cents, 94 cents can be written as $0.94. The number of miles can be denoted as 'm'  as the number of miles can vary and it is a variable.

The total cost would be = The base price + The cost for number of miles driven.

The total cost = $15.95 + $0.94 × ( the number of miles driven ).

∴ The number of miles is driven as 'm'.

The total cost = $15.95 + 0.94m

The total cost is given $159.77

Hence,

... $15.95 + $0.94m = $159.77

Subtract 15.95 on both sides  :

... 0.94m = $159.77 - $15.95

... 0.94m = 143.82

Dividing by 0.94 on both sides :

... m = 143.82 / 0.94

... m = 153

Hence, the number of miles driven is 153 miles.

Hope my answer helps!!

To solve this, we subtract the base fee from the total fee to find the total cost for the miles driven. Then, we divide this by the price per mile to find the number of miles driven. Keith drove approximately 153 miles.

This is a problem of linear equations, which is a part of Mathematics. Here we are working with the cost of a rented service. In this case, Keith has to pay both a base fee and a fee per mile driven in the truck.

The total fee Keith paid for the rental is the combination of the base fee and the fee for the miles driven. Given that the base fee is $15.95 and the total fee is $159.77, we first need to subtract the base fee from the total fee, which gives us $159.77 - $15.95 = $143.82. This amount is the total fee for miles driven.

As each mile costs him $0.94, we can find out how many miles Keith drove by dividing the cost of miles driven by the price per mile. So, Keith drove $143.82 ÷ $0.94 = approximately 153 miles.

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Answer:

The given equation which is in two variable is

 ⇒2 x + y =9

As we know that to get a unique solution you need two intersecting lines.

But here only one line is given.

On a single line there lie infinite number of points.

So, for different values of x we get different values of y or different values of y we get different values of x.

So , we can write the above equation as

either ⇒y=9-2 x Or x=9-2 y

I have drawn graph for you.

Thus , there are infinite number of solution of this equation. Like (0,9),(1,7),(2,5),(-2,13),(-1,11),(-3,15)......

Answer:

36 M

Step-by-step explanation:

For a square, you can multiply the given side length by 4 to get the area.

Answer: The relative change from Bloomington to Kokomo  is $ 93

Step-by-step explanation:

Since, the price of Bloomington = $ 747

And, the price of Kokomo = $ 654,

Thus, the relative changes in the price of Bloomington to Kokomo

= The price of Bloomington - the price of Kokomo

= 747 - 654

= 93

Hence the required relative change from Bloomington to Kokomo is $ 93.

[tex]y=4[/tex]

Given - [tex]\frac{9}{4y} -12=\frac{1}{4y} -4[/tex]

To find - [tex]y=?[/tex]

Since,

[tex]\frac{9}{4y} -12=\frac{1}{4y} -4\\\frac{9}{4y} =\frac{1}{4y} +8\\\frac{8}{4y} =8\\2y=8\\y=\frac{8}{2} \\y=4[/tex]

Therefore, [tex]y=4[/tex].

Know more about the equations here:

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Daniel's friend took .75 pounds of rice home

Daniel had 2.75 pounds of rice, and 1.25 pounds were eaten during the dinner. The remainder, 1.5 pounds, was divided, and his friend took home 0.75 pounds of the Spanish fried rice.

The question asks us to calculate the amount of Spanish fried rice left after a family dinner and how much was taken by Daniel's friend. To find out the remaining weight of rice after the meal, we subtract the amount of rice eaten from the original weight. Then, to find how much rice Daniel's friend took home, we divide the remaining rice by two.

Therefore, Daniel's friend took home 0.75 pounds of the Spanish fried rice.

The total cost to fence a 75ft by 90ft backyard at $6 per foot is $1980. This is found by first calculating the perimeter of the yard and then multiplying this by the cost per foot.

To calculate the total cost of fencing the rectangular yard, we must first work out the perimeter of the yard. The perimeter of a rectangle can be found using the formula 2(length + width). In this case, the length is 75ft and the width is 90ft.

So, the perimeter is 2(75ft + 90ft) = 2(165ft) = 330ft.

Then, to find the total cost, we multiply the perimeter by the cost per foot. That is:

Total Cost = Perimeter x Cost Per Foot.

Therefore, the Total Cost = 330ft x $6/foot = $1980.

So, it would cost $1980 to fence the backyard.

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i believe the answer would be - recreational drug user.

hope this helps you out!

Recreational drug users engage in occasional, pleasurable drug use for leisure or social purposes. While they may not show signs of dependency, awareness of potential risks is essential. Responsible use and moderation are key.

Individuals who use drugs relatively infrequently and define drug use as pleasurable are often referred to as recreational or occasional drug users. These individuals typically use substances like alcohol, cannabis, or other recreational drugs on a sporadic basis, and they may not exhibit signs of dependency or addiction.

For them, drug use is a choice made for leisure or social purposes, rather than a habitual or compulsive behavior. Recreational drug users tend to consume substances in social settings, during special occasions, or for specific experiences such as relaxation or enhancing social interactions.

It is important to note that while these individuals may not display the same level of risk associated with frequent or heavy drug use, they should still be aware of potential health and safety risks associated with any form of drug consumption. Responsible use, moderation, and informed decision-making are crucial aspects of recreational drug use.

To learn more about drug

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Solution

The general form of the n-th term = a + (n-1)d

An = 2 +(n-1)0.5

An = 2 + 0.5n - 0.5

An = 0.5n +1.5

Here the slope is 0.5 and y-intercept is 1.5

Therefore, the line start from y = 1.5 rises 0.5 level because the slope is 0.5

Now look at the graph.

The graph D start from 1.5 and moves at the rate of 0.5

The answer is Graph D.

Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.

x+90=4x

90=3x

x=30

Answer:

Step-by-step explanation:

Observe that (x + 90)° and 4x° are verticle angles.

By definition, those angles are equal, taht is

[tex]x+90=4x[/tex]

Then, we solve for [tex]x[/tex]

[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]

Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.

Answer: 4.5 minutes.

Step-by-step explanation:

1. You have the following information given in the problem above:

- Erica runs [tex]\frac{1}{6}km[/tex] in a minute.

- The school is [tex]\frac{3}{4}km[/tex] away from her home.

2. Therefore, to solve the exercise you must multiply [tex]\frac{3}{4}km=0.75km[/tex] by 1 minute and divide this by  [tex]\frac{1}{6}km=0.166km[/tex], as following:

[tex]x=\frac{(0.75km)(1min)}{(0.166km)}\\x=4.5min[/tex]

3. Therefore, the result is 4.5 minutes.

Answer:

4.5

Step-by-step explanation:

Answer:

24 gallons

Step-by-step explanation:

To answer this question let's call "a" the capacity of the tank in gallons.

Initially it is one third of its capacity, but when 4 gallons are added, it is half full.

This statement can be written as an equation in the following way:

[tex]\frac{1}{3}a+4=\frac{1}{2}a\\[/tex] (1)

This equation represents the given conditions, therefore solving it we can clear "a" the capacity of the tank in gallons

Solving the equation we have:

[tex]\frac{1}{3}a-\frac{1}{2}a =-4\\a (\frac{1}{3}-\frac{1}{2}) = -4\\a (-\frac{1}{6}) = -4\\a (\frac{1}{6}) = 4\\a = 24\\[/tex]

Therefore the capacity of the tank is 24 gallons.

We can check this result by verifying if it meets the given conditions. The half of 24 is 12. Therefore, if we divide 24 at 3 and then add 4, we should get half the capacity of the tank, that is, 12 gallons.

[tex]\frac{24}{3} = 8\\8 + 4 = 12[/tex]

12 is half the capacity of the tank, then equation (1) is met and the result is checked

The relation that is a function is that represented in the fourth graph. y = 2IxI

You must know that for a relation to be a function, there can not be two different values of f (x) for the same value of x.

In other words, if we have two sets P and M.

A function "f" between them is a relation that assigns to each value of the set P a single value of the set M.

To quickly verify when observing a graph it draws vertical lines and if they cut the graph in two points then the relation is not a function because it assigns two different values of f (x) for the same value of x.

By doing this test you will verify that only the fourth image represents the graph of a function.

The formula of a midpoint:

[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]

We have:

[tex]T(0,\ 4)\to x_T+0,\ y_T=4\\M(7,\ -5)\to x_M=7,\ y_M=-5[/tex]

Substitute:

[tex]\dfrac{x_S+0}{2}=7\qquad|\cdot2\\\\x_S=14\\\\\dfrac{y_S+4}{2}=-5\qquad|\cdot2\\\\y_S+4=-10\qquad|-4\\\\y_S=-14[/tex]

The domain is all real numbers

The range is y<= 4

Choice C

Answer:

The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

Step-by-step explanation:

The function is given to be :

f(x) = -(x + 3)(x - 1)

Domain : It is defined as a set of all points for which the function is real and defined.

Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :

Domain : All real numbers

Range : It is defined as a set of all values of dependent variable for which the function is defined.

Now, To find range of the given function :

As seen from the graph, the maximum value of the function is at (-1,4)

So, The range consists of all the values less than or equal to 4

⇒ Range : All real numbers less than or equal to 4

Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1 where as an irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

Answer:

Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.

Step-by-step explanation:

The slope intercept form of the line is ,

> y = mx + c

where

For example :-

> y = 3x + 4

Cindy sold 8 mango smoothies today. This was determined by solving a system of linear equations that was created based on the information provided in the problem.

This problem is a classic example of a system of linear equations. Let's denote the number of blueberry smoothies as x and the number of mango smoothies as y. From the problem, we know that the price of a blueberry smoothie is $5 and the price of a mango smoothie is $4. Therefore, we have our first equation: 5x + 4y = 52. Cindy also sold four more mango smoothies than blueberry ones, which gives us the second equation y = x + 4.

Now, we need to solve this system of equations. Let's substitute y from the second equation into the first, and solve for x: 5x + 4(x + 4) = 52. This gives x = 4 (number of blueberry smoothies), so y = x + 4 = 8 (number of mango smoothies).

So, Cindy sold 8 mango smoothies today.

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Answer:

The appropriate measure is cm/day.

Step-by-step explanation:

The best unit to measure the height of a plant = cm.

The best measure for time is day.

Rate refers to the ratio between units. Mostly, the difference in some unit when time passes.

She can measure the height of the plant in each day.

Hence, the appropriate unit for Dalla is cm per day.

Answer:

We have to find the growth rate of certain Patch of ground, which is covered by certain plant.

As, the branches of Herb patch plant can't grow more than 150 cm.

The difference in height can't be calculated on daily basis.It should be calculated either in a duration of three to four days ,or in a week.

Now, if you look branches of plant it occupies some space,that is area it's unit should be either Square cm or Square meter.

So, the appropriate unit to measure the growth rate will be

[tex]1.\frac{cm^2}{\text{3 or 4 day}}\\\\ 2.\frac{cm^2}{\text{1 Week}}[/tex]

or

[tex]1.\frac{m^2}{\text{3 or 4 day}}\\\\ 2.\frac{m^2}{\text{1 Week}}[/tex]

You can say -17.9+(-4.2)

Answer:

C on Edge

2 real number solutions

Step-by-step explanation:

the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.

The function h(x) = x³ – 4x² – 3x + 18 is a polynomial function of degree 3. To find the number of real solutions, we can analyze its graph or use the fundamental theorem of algebra.

The fundamental theorem of algebra states that a polynomial of degree n has exactly n complex roots. In this case, since it's a degree 3 polynomial, it can have at most 3 real roots, with the possibility of having some as complex solutions.

Therefore, the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.

Answer:

The answer is

Step-by-step explanation:

In the attachment!

70% = 0.7

3/4 = 0.75

0.6 = 0.6

2/3 = 0.667

In order from smallest to greatest:

0.6, 0.667, 0.7, 0.75 =

0.6, 2/3, 70%, 3/4

Therefore the smallest is 0.6

Step 1: Simplify both sides of the equation.

−23(3x−4)+3x=56

(−23)(3x)+(−23)(−4)+3x=56(Distribute)

−69x+92+3x=56

(−69x+3x)+(92)=56(Combine Like Terms)

−66x+92=56

−66x+92=56

Step 2: Subtract 92 from both sides.

−66x+92−92=56−92

−66x=−36

Step 3: Divide both sides by -66.

−66x  /-66= -36/-66

x= 6/11

Final answer:

To solve the equation -23(3x-4)+3x=56, distribute the -23, combine like terms, and solve for x, resulting in x=6/11 or approximately 0.5455.

Explanation:

To solve the equation −23(3x−4)+3x=56, we need to distribute the -23 inside the parentheses and then combine like terms.

First, distribute:

Then, combine like terms:

Finally, divide both sides by -66 to solve for x:

The solution is x = 6/11. It is important to note that we cannot verify this solution with the information provided about identities or other equations because they do not pertain directly to this problem. To check our result, substituting x back into the original equation should yield a true statement.

The answer would be 4.

700 x 300 = 210,000

First multiply 700 and 300

700 x 300= 210000

Now count the zeros in the number.

So the product of 700 and 300 have 4 zeroes.

Another way to do this is just count the zeroes under 700 and 300.

When you multiply any two numbers that have zeroes the zeroes will practically add together.

For example. 10 x 10 =100, they had one zero and the total has 2 zeroes.

Or 30 x 40=1200 they had one zero and the total has 2 zeroes.

Answer:

[tex]25x+15y\geq 1975\\y\leq 4x\\y\geq 50\\x\geq 0[/tex]

Step-by-step explanation:

Let x represents the number of lawns mowed by Mike and y represents the number of cars washed by Beth.

Then, the amount earned by Mike if he charges $25 for moving the lawn[tex]=25x[/tex]

And the amount earned by Beth if she charges $15 for moving the lawn[tex]=15x[/tex]

Then, as need at least $1975 in order to go Disneyworld.

So, first inequality is,

[tex]25x+15y\geq 1975[/tex]

Now, it is given that the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. So, this gives the inequality,

[tex]y\leq 4x[/tex]

Next, it is given that Beth will wash at least 50 cars. So,

[tex]y\geq 50[/tex]

Lastly, as the number of lawns mowed can't be negative, so

[tex]x\geq 0[/tex]

Answer: A) yes the graph passes the vertical line test

What is the vertical line test? It's a test to see if we have a function. Here's how the test works: if you can draw a single line that passes through more than one point on the function curve, then the graph fails the vertical line test. If it fails the test, then the relation is not a function.

In this case, it is impossible to draw a single line that goes through more than one point on the orange curve. So this curve passes the test. Therefore, the curve represents a function. Any input (x) leads to exactly one output (y).

The point-slope form:

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

m - slope

(x₁, y₁) - point

The formula of a slope:

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

We have the points (2, 1) and (4, 7). Substitute:

[tex]m=\dfrac{7-1}{4-2}=\dfrac{6}{2}=3[/tex]

[tex]\boxed{y-1=3(x-2)}[/tex]      point-slope form

[tex]\boxed{y=3x-5}[/tex]      slope-intercept form

[tex]\boxed{3x-y=5}[/tex]      standard form