The value of constant v is 3.75 if y varies directly as x and when
x = 8 and y = 30.
Let v be any constant.
According to the given question.
y varries directly as x.
⇒ y ∝ x
⇒ y = vx (beacuse v is constant)
Here, it is give that x = 8 and y = 30.
Thereofre, the value of constant v when y = 30 and x = 8 is given by
y = vx
⇒ 30 = v(8)
⇒ 30/8 = v
⇒ v = 3.75
Hence, the value of constant v is 3.75 if y varies directly as x and when
x = 8 and y = 30.
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What is a real word situation for 10y-3
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.
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Eva went to shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple and 3 melons. what are the mean and median of her purchase?
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.
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A sled team consists of 11 dogs and the musher. Each dog weighs 70 pounds and the musher weighs 160 pounds. What is the average weight of the sled team members?
a
68.5 pounds
b
115 pounds
c
73.5 pounds
d
77.5 pounds
The average weight of the sled team members is 77.5
What is an average value?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.
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find the slope of the line in the picture
The slope of the line in the picture is 2.8
How to find the slope of the line in the picture?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
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In this discussion, you will reflect on what you have learned about solving equations.
Discussion Prompt: Sarah and Kayla both solved the problem below. Who do you think solved it correctly? For the person who solved it incorrectly, what mistake do you think was made?
Sarah
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
Kayla
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x + 3x - 15 = -10 + 3x + 3x
5x - 15 = -10
5x - 15 + 15 = -10 + 15
5x = 5
x = 1
Post a brief paragraph responding to the discussion prompt above. Your post should use concepts presented in this module/lesson. Your post must be completed before you can see posts from your classmates.
Discussion Responses
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.
How to illustrate the information?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.
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la razon de hombres a mujeres que trabajan en una campañia es de 4 a 7. Si hay 143 empleados en total ¿Cuantas mujeres trabajan en la compañia?
In a company of 143 employees, the number of women working in the company is 91.
The quantitative relation is outlined because the comparison of 2 quantities of a similar units that indicates what proportion} of 1 amount is gift within the alternative quantity.Ratios may be classified into 2 varieties. One half|is a component|is an element} to part quantitative relation and also the alternative is an element to whole quantitative relation.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.
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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?
What is the slope of the line that passes through the points (-7, -2) and
(-2,-22)? Write your answer in simplest form.
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
b =x/m(a-x)
Make x the subject of this equation.
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]
a board game spinner is divided into three parts labeled $a$, $b$ and $c$. the probability of the spinner landing on $a$ is $\frac{1}{3}$ and the probability of the spinner landing on $b$ is $\frac{5}{12}$. what is the probability of the spinner landing on $c$? express your answer as a common fraction.
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;
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3. (g + h) (×)
4. (g - h ) (×)
5. (f + h) (×)
please solve thankyou!!
find the value of x:
Answer:
35°
Step-by-step explanation:
Total: 360°
{[360-(110*2)]/2}2
If a lighthouse's shadow is 36ft what is the lighthouse height?
Answer:
I think its 48 feet
Step-by-step explanation:
Answer:
wouldn't u need another object and that objects shadow?
Rectangle a measures 9 inches by 3 inches rectangle b is a scaled copy of rectangle a
Multiply 9 and 3 by the scale factor of rectangle B, and those should be your new corresponding dimensions for that rectangle.
Which expressions have a value of less than 3 when x = 6 ?
An expression that has a value of less than 3 when x = 6 is; 20 - 3•x
How can the required expression be found?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;
20 - 3•xThe above expression satisfies the given condition (have a quantity less than 3), given that we have;
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The graph of y = f(x) is shown. Draw the graph of y = 2f(x) .
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) .
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Determine which answer in the solution set will make the equation true.
4p + 5 = 6p − 15
S: {−10, 0, 10, 20}
0
−10
20
10
The answer in the solution set that will make the equation true is 10
How to determine which answer in the solution set will make the equation true?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
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You are solving a measurement problem where the numbers 4.0286 × 109 and 3.1 × 10−4 are divided. How many significant digits should the quotient have?
2
3
4
5
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
Dividing scientific notationsThe 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
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Answer: The answer is 2
Step-by-step explanation: Hope this helps :)
whic is the correct form of the equation a+b+c=d when solved for a?
Answer:
a = d-b-c
Step-by-step explanation:
i think?
A theater is showing a ballet performance. Tickets are available on three levels in the performance hall. Lower level tickets cost $35, mezzanine tickets cost $25, and upper balcony tickets cost $15. For a certain performance the theater sold 5 times as many lower level tickets as upper balcony tickets. The theater sold $37,500 in tickets for that performance. The money made from mezzanine tickets alone was 4 times the money made from upper balcony tickets. How many lower level tickets were sold for that performance?
Based on the calculation done below, the number of lower level tickets sold is 750.
How do we calculate the number of units sold from a word problem?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
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Given that m
Please help me with this!
Answer:
where is the probleM?
Step-by-step explanation:
a list of measurements in increasing order is 4, 5, 6, 8, 10, and x . if the median of these measurements is six sevenths times their arithmetic mean, what is the value of x ?
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.
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C is the midpoint of AD. B is the midpoint of AC BC =4 what is the length of BD
Answer:
================= m
Step-by-step explanation:
uuhhhhhhvvvvbvvggggghgggghhgg
brainiest to correct answer
Which part of the technological design process involves learning from other scientists that have solved the problem before?
A. decide on a solution
B. refine the original solution design
C. test and evaluate a solution
D. research existing solutions
Answer:
C. test and evaluate a solution
John made a nut mixture that contains
90% peanuts by mixing 5 oz. of mixed
nuts with 20 oz. of peanuts. The mixed
nuts contained what percent peanuts?
The percentage of peanuts which this mixed nuts contained is 40%.
What is a proportion?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%.
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Find the average rate of change of the function: f(x)=x²-3 between the values [3,5]
Answer: 4
hope it helps
Which of the following equations has nosolution? B= -B+ 2 B + 2= b + 2 B+ b = 2 b + 2 = b-2
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
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A travel agency recorded the travel destinations of 60 South African tourists last month.
Of the 60 tourists, 30 visited Europe, 28 visited the UK, 9 visited America and 12
visited both Europe and the UK. Five tourists did not visit America, Europe or the UK.
(1) Draw a Venn diagram to represent this information.
(2)
(3)
Determine the probability that a tourist, selected at random, visited Europe only.
Determine the probability that a tourist, selected at random, visited America.
Determine the probability that a tourist, selected at random, visited both Europe
and the UK.
(4)
(5)
Determine:
(i) P((not E) or A)
(ii)
P((not A) and UK)
02 The probability that he will
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.
What is the greatest common factor of 35 and 25
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
If h(x)=-4/5x+6/7 find the following values. Simplify your answer.
h(1)=
h(2)=
h(-1/2)
what percent of 54 is 23? explained
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