Write an equation that expresses the following relationship: x varies directly as a and inversely as the difference between y and z. Then solve the equation for y
Write an equation that expresses the given relationship. Use k as the constant of variation.

Liam descended 5,050.25 feet. Elevation is defined as the distance above sea level. Elevations are typically expressed in meters or feet.

The angle of elevation is formed by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation. "rise over run" is an easy-to-remember equation for calculating change in elevation as a decimal, which means the rise (the change in vertical distance) divided by the run (the change in horizontal distance).

The angle of elevation is the angle formed by the horizontal line of sight and the upward line of sight. For example, if you're standing on the ground and looking up at the peak of a mountain, you can calculate the angle of elevation.

Therefore,

Liam descended from the summit of K2 (elevation= 28,251.31 feet) to an elevation of 23,201.06 feet.

You have to find the difference between 28,251.31 feet and 23,201.06 feet.  To find the difference you have to subtract:

28251.31 - 23,201.06  = 5,050.25  feet

Hence, Liam descended 5,050.25 feet.

The complete question is:

Liam descended from the summit of K2 (elevation= 28,251.31 feet) to an elevation of 23,201.06 feet. How many feet did Liam descend? What was his change in elevation?

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The system of equations containing equations  y = 5/2 x + 2 and 2y = 5 x + 4 will have infinitely many solutions.

What is system of equations?

A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model problems when the unknown values can be represented by variables.

Given equations:

y = 5/2 x + 2

2y = 5 x + 4

We will use the substitution method, to get the values of x and y:

2 ( 5/2 x + 2 ) = 5 x + 4

5 x + 4 = 5 x + 4

0 · x = 0

x , y ∈  R

Therefore, this system of equations will have infinitely many solutions.

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Complete question

How many solutions does the following system of equations have?

y = 5/2x + 2,

2y = 5x + 4.

They have [tex]30[/tex] pennies. So the option A is correct.

The ratio of pennies to dimes they have is [tex]3:5[/tex].

They have a [tex]2:3[/tex] ratio of dimes to quarters.

They have [tex]75[/tex] quarters.

We have to find the how many pennies they have.

The ratio of pennies to dimes [tex]=3:5[/tex]

We can write it as

Pennies : Dimes[tex]=3:5[/tex]

The ratio of dimes to quarters [tex]=2:3[/tex]

We can write it as

Dimes : Quarter [tex]=2:3[/tex]

When we see both ratio then we can notice that the ratio of dimes is different in both ratio.

So firstly we equal the ratio of dimes.

We can equal the ratio of dime in the ratio of pennies to dimes by multiplying with [tex]2[/tex] in both ratio and in the ratio of dimes to quarters by multiplying [tex]5[/tex] on both side.

Now we get after multiplying in the ratio.

Pennies : Dimes[tex]=3\times2:5\times2[/tex]

Pennies : Dimes[tex]=6:10[/tex]

Dimes : Quarter [tex]=2\times5:3\times5[/tex]

Dimes : Quarter [tex]=10:15[/tex]

The number of quarter is [tex]75[/tex].

They given in the ratio which means there have any number in the multiple of ratio. That which we can get real value from the ratio.

So we used [tex]x[/tex] as a multiple of ratio.

If we see in the ration of Dimes and Quarter the ratio of quarter is [tex]15x[/tex].

Now the value of quarter

[tex]15x=75[/tex]

Now the value of [tex]1[/tex] quarter

Divide by [tex]15[/tex] on both side.

[tex]\frac{15}{15}x=\frac{75}{15}[/tex]

[tex]x=5[/tex]

Hence, the value of [tex]x[/tex] is [tex]5[/tex].

Now we have to find the value of pennies.

In the ratio we can see that the ratio of pennies is [tex]6[/tex].

We can find the value of pennies by multiplying with [tex]5[/tex].

After multiplying we get [tex]30[/tex].

Hence, they have [tex]30[/tex] pennies. So the option A is correct.

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Answer: A

Step-by-step explanation:

Answer: Therefore, the value of k is -20

Step-by-step explanation:A=-26-3= -29

                                             B=-3x+2

                                             C = -2x + 7    

                                       A+B+C= -29 -3x +2 -2x +7

                                       A+B+C= -29 +2+7 -3x -2Xx

                                       A+B+C= -20-5x    

Answer:

The rate in m³/m² is 40m³/m².

1 m³ is literally a cube with sides that are 1 m in length.  1 m = 100 cm, so each side of this cube is 100cm in length.  Finding the volume means multiplying length by width by height:

100(100)(100)=1,000,000 cm³ in 1m³.

We know that we have 25,000cm³ of mulch; we divide to find how many cubic meters this is:

1,000,000/25,000 = 40 m³.

This makes the rate 40m³/m².

Step-by-step explanation:

The number of tiles needed to cover the floor is 60 tiles.

Given Information,

The floor area of the passage = 2.4 m²

Length of a side of square tile = 200mm

Length of the side is in mm which needs to be converted in its standard form which is meters.

Therefore, the length of side = 200/1000 m

                                                = 0.2 m

Area of the square tile = 0.2 x 0.2

                                      =  0.04 m²

Let the number of tiles be x.

∴ Number of tiles = [tex]\frac{Area of passage}{Area of each tile}[/tex]

 x = 2.4/0.04

 x = 60

∴ The number of tiles needed to cover the floor is 60 tiles.

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Peter threw a water balloon out of the top of a 15-yard-tall structure. The Option b is correct because it asks the domain so the option a and c are wrong from the graph can we know 0≤x≤8.

Given that,

Peter threw a water balloon out of the top of a 15-yard-tall structure.

The water balloon's height is plotted as a function of x, or the building's distance from the location in yards.

We have to find which one most domain reflects the situation's context.

The Option b is correct because it asks the domain so the option a and c are wrong from the graph can we know 0≤x≤8.

Therefore, Option b is correct.

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Answer:

1.62, 15/20, 16.2%

Step-by-step explanation:

Let us consider all the answers out of one. In percentages, 100% always equals 1. (If you ate 100% of a cookie, you would have eaten 1 cookie), 16.2% is much less than 100% and not even half of 100%.

16.2%<0.5

Following the same logic, imagine there are 20 cookies this time. 15/20 would be 15 out of the 20 cookies which is more than half.

15/20>0.5

Finally, 1.62 is greater than 1

1.62>1

You can tell I'm hungry rn lol, also I would appreciate if you could give Brainliest, I'm kind of on a streak

Given two points on a line, we can find its slope using the formula below

Therefore, in our case,

Thus, the slope is equal to 1.

Answer:

1 1/4 hours

Step-by-step explanation:

3/2 x5/6

15/12

1 3/12

1 1/4

Hopes this help please mark brainliest

The equation of the line passing through the point (-6, 4) and (-2, 2) is y = -(1/2)x + 1

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept.

The equation of a line passing through the point (-6, 4) and (-2, 2) is:

y - 4 = [(2 - 4)/(-2 - (-6))](x - (-6))

y - 4 = -(1/2)(x + 6)

y - 4 = -(1/2)x - 3

y = -(1/2)x + 1

The equation of the line is y = -(1/2)x + 1

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The voltage of the audio speaker given the equation,  V = 4√P, is 100.

The given equation to determine the voltage is : V = 4√P

Where: P = 625 watts

The first step is to determine the square root of 625. The square root of a number is the number that is exactly half the value of the number. When the half is multiplied by itself, it yields the original number.  For example, the square root of 25 is 5. 5 multiplied by 5 is 25.

√625 = 25 watts

The next step is to multiply 25 watts by 4. Multiplication is the process that is used to determine the product of two or more numbers.

25 x 4 = 100

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Answer:

x = -5

Step-by-step explanation:

f(x) = -x-4

Let f(x) = 1

Find x

1 = -x-4

Add 4 to each side

1+4 = -x-4+4

5 = -x

Multiply each side by -1

-5 =x

x = -5

Answer:

x  = -5

Step-by-step explanation:

Given that,

f ( x ) = - x - 4

If, f ( x ) = 1,

Let us find the value of x.

For that, replace f ( x ) with 1.

f ( x ) = - x - 4

1 = - x - 4

First, add x to both sides.

x + 1 = -4

Now, subtract 1 from both sides.

x = -4 - 1

x = -5

The average rate of speed in miles per hour is 15miles/hour.

What is the rate of speed ?

Given that, a 4.5miles distance covered in 18 min and 7.5miles in 30 min

Converting miles/min to miles/hour and calculating the average,

Then

[(4.5 miles/18min )+(7.5miles/30min)]/2

[15miles/hour + 15miles/hour]/2 = 15miles/hour

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Answer:

10

Step-by-step explanation:

They (50 & 5x) are parallel angles, therefore 5x equals 50.

This means that to find x, you will need to find a common factor between 5 and 50, which is 5. 50/5=10

x=10

Suplementsry angles are

Form a sum of 180°

Then in figure

Suplements for angle 3 are, Angles 2 and 4

Because <3 + <4 = 180°

and also

<3 + <2 = 180 °

Then answer is

Option B) Angle 4

Answer:

Answers below

Step-by-step explanation:

For 28 Students 300-90-(6*28) the answer is 42.

For 29 Students 300-90-(6*29) the answer is 36.

For 30 Students 300-90-(6*30) the answer is 30.

The greatest number of students that can go on the field trip for $300 is 35.

I've gotten this answer by doing 300-90-(6*35) which equals to 0.

Three consecutive integers such that the first plus 4 times the second total 210 more than the third are 52, 53, 54

Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each successive integer, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

Let the three numbers be x, x+1, x+2

As per given question,

⇒ x + 4(x + 1) + = 210 + x + 2

⇒ x + 4x + 4 = 210 + x + 2

⇒ 4x + 4 = 212

⇒ 4x = 208

⇒ x = 52

∴ The three consecutive integers will be 52, 53, 54

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Answer:

D and F

Step-by-step explanation:

8060 and 609 are whole numbers.

whole numbers: Whole numbers include 0 and natural numbers (1,2,3,4......). They don't include fractions, decimal and negative integers.

The equation is solved for y as: y = 3x + 4.

Slope = 3

Y-intercept = 4.

Given the equation, -3x + y = 4, rewrite to solve for y:

y = 3x + 4

To create a table, substitute the values of x into y = 3x + 4.

For x = -1:

y = 3(-1) + 4

y = 1

For x = 0:

y = 3(0) + 4

y = 4

For x = 1:

y = 3(1) + 4

y = 7

For x = 2:

y = 3(2) + 4

y = 10

For x = 3:

y = 3(3) + 4

y = 13

The table is:

    x     |     y      

   -1          1  

   0          4

    1          7

    2         10

    3         13

The slope of y = 3x + 4 is m = 3.

The y-intercept (b) = 4.

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Answer: Uhhhh there are no names for me to choose from- but it's basically any shape with straight lines and is closed. hope this helps

Step-by-step explanation:

The number of times as much as her brother is Jackie now on the phone is 1 2/5 times.

From the information, Jackie used to be on the phone 3 1/2 times as much as her brother and her parents threatened to take away the phone, so she cut down to 2/5 of the time she used to be on the phone.

Therefore, the times that she's using as much as her brother will be:

= Original times × Fraction cut

= 3 1/2 × 2/5

= 7/2 × 2/5

= 7/5

= 1 2/5 times.

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Answer:

it may be in round about 3600000000..

The interest rate earned in 18 months will be $300

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

putting time into years for simplicity,

18 months ÷ 12 months/year = 1.5 years,

then, solving our equation

I = 4000 × 0.05 × 1.5 = 300

I = $300.00

The simple interest accumulated

on a principal of $4,000.00

at a rate of 5% per year

for 1.5 years (18 months) is $300.00.

Therefore, the interest rate earned in 18 months will be $300

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Answer:

-6

Step-by-step explanation:

x= 21/3

x=7

using this value,

22-4x= 22-4*7

=22-28

=-6

If r = -6,  s= -2, v=10  and w = 3 then the response of the expression vs(r-s)÷2+rw is option (d) 22

The expression is

vs (r-s) ÷ 2 + rw

To find the response, we have to substitute the values in the expression

The values of the term

r = -6

s = -2

v = 10

w = 3

Substitute the values in the given expression

= 10×-2(-6-(-2)) ÷ 2 + (-6)×3

Do the arithmetic operations in bracket

= 10×-2(-4) ÷ 2 + (-6)×3

Do the multiplication

= 80 ÷2 - 18

Do the division

= 40 - 18

= 22

Hence, if r = -6,  s= -2, v=10  and w = 3 then the result of the expression vs(r-s)÷2+rw is option (d) 22

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Choose any point on each line different from (0,0) to find the constant of proportionality.

Notice that, for example, in the first graph, the point (4,4) lies in the line.

Divide the y-coordinate over the x-coordinate to find the constant of proportionality. This method is only valid when the point (0,0) is in the line.

For the first graph, the constant of proportionality is:

Which is equal to 1.

For the second graph, notice that the point (8,4) is in the line. Again, divide the y-coordinate over the x-coordinate to find the constant of proportionality:

Which is equal to 1/2.

For the third graph:

Notice that the point (4,8) is in the line of the third graph.

By dividing 8/4, we notice that the constant of proportionality is equal to 2.

For a fair die has four faces numbered one to four, the probability of rolling a two exactly three times in ten rolls of the die is 25.02% determined using binomial distribution.

Binomial distribution is used to determine the probability of observing a specified number of successful outcomes in a specified number of trials and is given by:

P(x:n,p) = nCx px (1-p)n-x

Where n is the number of experiments, x is a random variable, and p is the probability of success in a single experiment.

The probability of rolling a two in one trail = ¼ = 0.25

In the give case,

n = 10

x =3

p = 0.25

Therefore,

P(3) = 10C3 0.25^3 (1-0.25)^(10 – 3)

Solving 10C3 = 10!/3!(10-3)! = 120

P(3) =  120. 0.25^3 (1-0.25)^(10 – 3) = 0.2502

Hence, the probability of rolling exactly 2 three times in a ten trails is 25.02%

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the green would be 15% of the counters

The number of counters that are green is 162 and the percentage of counters that are green is 42 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total number of counters = 400

The number of counters that are red = 3/8 of total number of counters

                                                              = ( 3/8 ) x 400

                                                              = 3 x 50

                                                              = 150 counters

The number of counters that are yellow = 82 counters

So , the number of counters that are green =
Total number of counters - number of counters that are red - number of counters that are yellow

The number of counters that are green = 400 - 150 - 82

                                                                  = 168 counters

Now , the percentage of counters that are green =
( number of counters that are green / total number of counters ) x 100

The percentage of counters that are green = ( 168 / 400 ) x 100

                                                                        = 168 / 4

                                                                        = 42 %

Hence , the number of counters that are green is 168 and the percentage of counters that are green is 42 %

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Answer:

 y = 2x - 20

Step-by-step explanation:

where m is slope and b is y-intercept.

  y + 1 = 2(x - 3)

Write this equation in y = mx + b form.

 y + 1 = 2x - 2*3

y + 1 =2x - 6

      y = 2x - 6 - 1

      y = 2x - 7

m =2

Parallel lines have same slope.

 Slope of the required line = 2

  y = 2x + b

The point (9,-2) passes through the line. Substitute in the above equation and find the value of 'b'.

          -2 = 9*2 + b

        -2   = 18 + b

    -2 - 18 = b

        [tex]\sf \boxed{b = -20}[/tex]

Equation of the required line:

            y = 2x - 20

Answer:

Step-by-step explanation:

b