Find the constant of variation where y varies directly as x if y = 30 when x = 8. Write your answer
as a decimal.

The real world situation will be , Ram buys y pens and each pen costs $10 . How much he need to pay if he has already paid $3.

It is given that an equation is 10y - 3.

We have to write a real world situation representing above equation.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The expression given is 10y - 3.

Let's write a real world situation representing the above equation.

Ram buys y pens and each pen costs $10 . How much he need to pay more if he has already paid $3.

Let's assume no. of pens be 4 i.e., y = 4.

So ;

He need to pay more ;

= 10 × 4 - 3

= 40 - 3

= $ 37

Thus , the real world situation will be , Ram buys y pens and each pen costs $10 . How much he need to pay if he has already paid $3.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ1

The answer in the solution set that will make the equation true is 10

The equation is given as

4p + 5 = 6p - 15

Collect the like terms in the above equation

So, we have

4p - 6p = -5 -15

Evaluate the like terms

So, we have

-2p = -20

Divide both sides by -2

So, we have

p = 10

Hence, the answer in the solution set that will make the equation true is 10

Read more about equations at

https://brainly.com/question/2972832

#SPJ1

The slope of the line in the picture is 2.8

To calculate the slope of the line, we make use of two points on the line

The two points to use are

(0, 0) and (25, 70)

The slope of the line is then calculated as

Slope = (y2 - y1)/(x2 - x1)

So, we have

Slope = (70 -0)/(25 - 0)

Evaluate

Slope = 2.8

Note that the slope can also be regarded as the constant average rates of change or the gradient

Hence, the slope of the line in the picture is 2.8

Read more about slope at

https://brainly.com/question/1884491

#SPJ1

The average weight of the sled team members is 77.5

Average value can be calculated by finding the  sum of a set of numbers  then count the total number, then divide the sum with the  number of the counted values.

To calculate the average weight of the sled team members, then we know that there are  11 dogs and the musher, which implies that there are total number of 12 animals.

Then we can find the total number of the dogs as (11*70) =770 dogs, then we can add to the musher which makes the total number of (770+160)=930

Then the average weight of the sled team members is [tex]\frac{930}{12} =77.5[/tex]

Therefore, option D is correct.

Learn more about average weight on:

https://brainly.com/question/24398353

#SPJ1

Based on the calculation done below, the number of lower level tickets sold is 750.

Let:

L = number of lower-level tickets sold = 5U

M = number of mezzanine tickets sold

U = number of upper balcony tickets sold

We therefore have:

35L + 25M + 15U = 37,500 ...................... (1)

25M = 4 * 15U = 60U

Substituting L = 5U and 25M = 60U into equation (1) and solve for U, we have:

35(5U) + 60U + 15U = 37,500

175U + 60U + 15U = 37,500

250U = 37,500

U = 37,500 / 250

U = 150

Susbstituting U = 150 into L = 5U, we have:

L = 5 * 150

L = 750

Learn more about the number of units sold here: https://brainly.com/question/12962278.

#SPJ1

If Eva went to a shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple, and 3 melons, then the mean and median of her purchase are equal to 4 and 3 respectively.

Mean can be described as the most common value in a group of numbers. The mean of a certain set can be found by the ratio of the sum of the values to the number of values.

Mean = Sum total of the expressions/ Number of expressions

Sum of the values = 3 + 5 + 8 + 1 + 3 = 20

Number of values = 5

Mean = 20 / 5

Mean = 4

Median can be described as the central number in a series of numbers or a dataset.

If we arrange the given dataset in ascending order, that is from smallest to largest, then the median can be found as follows,

1 + 3 + 3 + 5 + 8

As the middle number is 3, therefore the median of the given data set is equal to 3.

Therefore, the mean and median of her purchase are calculated to be 4 and 3 respectively.

To learn more about the mean, click here:

https://brainly.com/question/1136789

#SPJ4

if the given graph is f(x)= [tex]x^{2}[/tex], then the new graph is y= [tex]2x^{2}[/tex] and we have drawn the graph

Given,

The graph of the function y =f(x)

From the graph we can say that

f(1)=1

f(2)=4

f(-1)=1

f(-2)=4

So,

f(x)= [tex]x^{2}[/tex]

Then,

y= 2f(x)

y= [tex]2x^{2}[/tex]

draw the graph

Hence, if the given graph is f(x)= [tex]x^{2}[/tex], then the new graph is y= [tex]2x^{2}[/tex]

and we have drawn the graph

The complete question is:

The graph of y = f(x) is shown. Draw the graph of y = 2f(x) .

Learn more about graph here

brainly.com/question/17267403

#SPJ1

the equation B= -B+2B+2 has no solution

given equation B= -B+2B+2=b+ 2B +b= 2b+2= b-2

taking B= -B+2B+2

          B+B=2B+2

           2B=2B+2

             2=0        hence no solution

taking -B+2B+2=b+2B+b

           -B   =  2b-2

            B=  2(1- b)       is the solution of equation

 taking  b+2B+b=2b+2

                 2B=2

                  B=1 is the solution of given equation

taking 2b+2 = b-2

          b= -4

thus the equation B= -B+2B+2 has no solution

learn more of no solution here https://brainly.com/question/11343950

#SPJ9

From the result you can see that the result must have a significant figure of 2 since that is the lowest significant figure in question

The standard scientific notations is expressed according to the expression A * 10^n

where

A is any value from 1 to 10

Given the following quotient

4.0286 × 10^9/3.1 × 10^−4

This can also be expressed as:

4.0286 × 10^9/3.1 × 10^−4 = (4.0286/3.1) × 10^9+4
4.0286 × 10^9/3.1 × 10^−4 = 1.2995 × 10^13

From the result you can see that the result must have a significant figure of 2 since that is the lowest significant figure in question

Learn more on significant figure here: https://brainly.com/question/24491627

#SPJ1

Answer: The answer is 2

Step-by-step explanation: Hope this helps :)

Answer: 4

hope it helps

Answer:

5

Step-by-step explanation:

5 |35 | (5 is the divisor and 35 is the dividend)

= 7|

For 25;

5 |25|

=5

35 = 5 * 7

25 = 5 * 5

Now, common factor =5

Multiply 9 and 3 by the scale factor of rectangle B, and those should be your new corresponding dimensions for that rectangle.

In a list of measurements in increasing order: 4, 5, 6, 8, 10, and x, the value of x is 16.

To get the value of x, we will use algebraic expressions to demonstrate the given relationships.

If the median of these measurements is ​six sevenths​ times their arithmetic mean, then:

median = 6/7 x mean

Median (Md), is a single value at the middle of the data values arranged in increasing or decreasing order. On the other hand, arithmetic mean (μ) is the sum of the data values divided by its total number.

For the list of measurements in increasing order is 4, 5, 6, 8, 10, and x,

The median is between 6 and 8.

Md = 6+8/2

Md = 7

Evaluating the first equation using Md = 7:

median = 6/7 x mean

7 = 6/7 x mean

mean = 49/6

By definition,

mean = (4 + 5 + 6 + 8 + 10 + x)/6

Equating both equations for the mean:

49/6 = (4 + 5 + 6 + 8 + 10 + x)/6

49 = 33 + x

x = 16

Hence, the value of x is 16.

To learn more about mean and median: https://brainly.com/question/14532771

#SPJ4

The percentage of peanuts which this mixed nuts contained is 40%.

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

In order to determine the percentage of peanuts which this mixed nuts contained, we would develop a table of proportion to model the word problem as follows:

5 oz + 25 oz = 30 oz

5x + 25 = 30(0.9)

x + 5 = 6(0.9)

x + 5 = 5.4

x = 5.4 - 5

x = 0.4 ⇒ 40%.

Read more on percentage here: https://brainly.com/question/24877689

#SPJ1

Answer:

35°

Step-by-step explanation:

Total: 360°

{[360-(110*2)]/2}2

Answer:

C. test and evaluate a solution

Answer:

where is the probleM?

Step-by-step explanation:

Answer:

================= m

Step-by-step explanation:

uuhhhhhhvvvvbvvggggghgggghhgg

Answer:

-4

Step-by-step explanation:

Compute the slope of the line through the following points:

p_1 = (-7, -2) and p_2 = (-2, -22)

The slope of the line through (x_1, y_1) and (x_2, y_2) is:

(y_2 - y_1)/(x_2 - x_1)

Substitute (x_1, y_1) = (-7, -2) and (x_2, y_2) = (-2, -22):

= (-22 - -2)/(-2 - -7)

-(-7) = 7:

= (-22 - -2)/(-2 + 7)

-2 + 7 = 5:

= (-22 - -2)/5

-(-2) = 2:

= (-22 + 2)/5

-22 + 2 = -20:

= (-20)/5

The gcd of -20 and 5 is 5, so (-20)/5 = (5 (-4))/(5×1) = 5/5×-4 = -4:

Answer:  = -4

Answer: 42.59

Step-by-step explanation:

Step 1: First, write the problem as an equation: P% = X/Y

Step 2: Here, X is 23, Y is 54, so the equation is P% = 23/54

Step 3: A percent is a ratio of a number expressed out of 100. So P% means P/100

Step 4: Substitute P/100 instead of P% in the above equation, then P% = 23/54 becomes P/100 = 23/54

Step 5: Solve for P

P/100 = 23/54

P = (23/54) * 100 = 42.59

Therefore, 23 is 42.59 percent of 54

The person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.

It should be noted that an equation is simply used to illustrate the relationship between two variables.

In this case, the solution to the equation will be:

5x - 15 - 3x = 10 - (-3x + 20)

2x - 15 = 10 + 3x - 20

2x - 3x - 15 = -10 + 3x - 3x

-1x - 15 = -10

-1x - 15 + 15 = -10 + 15

-1x = 5

x = -5

Therefore, the person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Answer:

a = d-b-c

Step-by-step explanation:

i think?

Answer:

to create venn diagram

Step-by-step explanation:

To create an intersecting Venn diagram, draw three circles that overlap in the middle. You'll be able to show which attributes are unique to each circle, which overlap between two, and which are common characteristics of all three groups. Two circles overlapping is a classic venn diagram.

Probability of spinner landing on 'c' is 1/4;

Probability of spinner landing on 'a' = 1/3 = 4/12;

Probability of spinner landing on 'b' = 5/12;

Thus, Probability of spinner landing on 'c' = 1 - (5/12 + 4/12)

                                                                  = 1 - 9/12

                                                                  = 3/12

                                                                  = 1/4;

To learn more about this, visit: https://brainly.com/question/11234923

#SPJ4

In a company of 143 employees, the number of women working in the company is 91.

Given,

Men : Women = 4 : 7

Total number of employees =  143

Let us take a multiplying factor of x

This implies, Number of men = 4x , Number of women = 7x

Using the given data, we get 4x + 7x = 143

                                                  11x = 143

                                                   x = 143 / 11

                                                   x = 13

Number of men = 4x = 4 (13) = 52

Number of women = 7 (13) = 91

Therefore, using the concept of RATIO, we get the number of women working in the company as 91.

Learn more about Ratio here:

https://brainly.com/question/13419413?referrer=searchResults

#SPJ9

The complete question is given below.

The question given in Spanish when translated in English states that :The ratio of men to women working in a company is 4 to 7. If there are 143 employees in total, how many women work in the company?

An expression that has a value of less than 3 when x = 6 is; 20 - 3•x

An expression is a symbol collection that together expresses a quantity.

An expression consists of variables, numbers and operators placed together to express a quantity.

A possible expression that have a value of less than 3 when x = 6, is presented as follows;

The above expression satisfies the given condition (have a quantity less than 3), given that we have;

Learn more about writing expressions here:

https://brainly.com/question/551090

#SPJ1

Answer:

[tex]x= \dfrac{bma}{bm+1}[/tex]

Explanation:

Given expression:

[tex]\hookrightarrow b = \dfrac{x}{m(a-x)}[/tex]

shift the variables

[tex]\hookrightarrow b m(a-x)= x[/tex]

distribute inside parenthesis

[tex]\hookrightarrow bma-bmx= x[/tex]

collect terms with "x" in one side

[tex]\hookrightarrow -bmx-x= -bma[/tex]

divide both sides by -1

[tex]\hookrightarrow bmx+x= bma[/tex]

factor out common term "x"

[tex]\hookrightarrow x(bm+1)= bma[/tex]

shift the variables making "x" the subject

[tex]\hookrightarrow x= \dfrac{bma}{bm+1}[/tex]

Answer:

I think its 48 feet

Step-by-step explanation:

Answer:

wouldn't u need another object and that objects shadow?