solve for x;
2/7 x + 1/5 x=51

Answers

Answer 1

Answer:

x = 105

Step-by-step explanation:

To solve for x, we simply need to isolate it:

[tex]\frac{2}{7}x+\frac{1}{5}x=51\\ \frac{17}{35}x=51\\ x=105[/tex]


Related Questions

Calculate Sam’s regular pay amount overtime pay and gross pay for the first week of December

Answers

Step-by-step explanation:

that's a right answer u're working on sir appreciated

you want to obtain a sample to estimate a population proportion. based on the previous evidence, you believe the population proportion is approximately 76%. you would like to be 95% confident that your estimate is within 4.5% of the true population proportion. how large of a sample size is required?

n=

Answers

A proportion is an equation in which two ratios are set equal to each other and the large sample size required is [tex]0.75[/tex].

What is population proportion?

A fraction is represented in the form of [tex]\frac{a}{b}[/tex], a while ratio [tex]a:b[/tex], then a proportion states that two ratios are equal. Here, [tex]a[/tex] and [tex]b[/tex] are any two integers.

Here, we are determining the minimum sample size for the determination of the population proportion. So, the general formula is of the form is:-

[tex]n=(\frac{z_\frac{x}{2}.x}{E})^{2}[/tex]

Here given values are:-

σ[tex]=76[/tex], population standard deviation

[tex]1-x=0.95\\[/tex], Confidence level

[tex]E=4.5[/tex], Error

Determining the critical value, we get

[tex]z_\frac{x}{2}\\P(z\leq z_\frac{x}{2})=1-\frac{x}{2}\\1-x=0.95\\x=1-0.95\\x=0.05\\\frac{x}{2}=\frac{0.5}{2}\\\frac{x}{2}=0.25\\1-\frac{x}{2}=1-0.25\\\\=0.75[/tex]

Hence, a large sample size is required is [tex]0.75[/tex].

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Which expression is equivalent to 6^-6 x 6^6

Answers

Answer:

Step-by-step explanation:

x^-3 * x^-3

find the slope of (1,2) and (7,-1)

Answers

Answer:

Slope (m) = -1/2 or -0.5

Hope that helps ! ^^

Answer:

m= - 1/2

The step-by-step explanation is in the screenshot below!

Explain how you could estimate 22% of 78 to check if your answer is reasonable.

Answers

add them together to see if they equal 100

Write equations for the horizontal and vertical lines passing through the point (2, -6).
horizontal line: 0
vertical line:
Continue
0
00
X
0=0
3

Answers

The horizontal line passing through the point (2, -6) is y = -6 and the vertical line passing through the point (2, -6) is x = 2

We need to write equations for the horizontal and vertical lines passing through the point (2, -6)

For a vertical line the value of x will never change. This will be true for any value of y.

So, the equation for a vertical line passing through this point is:

x = 2

Similarly, for a horizontal line the value of y will never change. This is true for any value of x.

So, the equation for a horizontal line passing through this point is:

y = -6

Therefore, the horizontal line passing through the point (2, -6) is y = -6 and the vertical line passing through the point (2, -6) is x = 2

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7. In 2009, the national average price for milk was $3.11
and in 2011 it rose again to $3.57 per gallon.
Was the percent increase in cost greater from 2009
your answer.

Answers

The percentage increase in cost greater from 2009 is 14.79%

The average price of milk in 2009 = $3.11

The average of price of milk in 2011 = $3.57

The increase in price = The average of price of milk in 2011 - The average price of milk in 2009

Substitute the values in the equation

The increase in price = 3.57 - 3.11

= $0.46

The percentage increase = The increase in price / The average price of milk in 2009 × 100

Substitute the values in the equation

The percentage increase = ( 0.46 / 3.11 )×100

= 14.79%

Hence, the percentage increase in cost greater from 2009 is 14.79%

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g(x) = x¹¹ - 3x⁹ +2. I have to find the local minima using the second derivative test

Answers

x = √(27/11) is the local minima of the function g(x) = x¹¹ - 3x⁹ +2

Given, a function g(x) = x¹¹ - 3x⁹ +2

we have to find the local minima using the second derivative test.

first we differentiate the function,

g(x) = x¹¹ - 3x⁹ +2

g'(x) = 11x^10 - 27x^8

Now, putting g'(x) = 0

11x^10 - 27x^8 = 0

x^8(11x² - 27) = 0

Now, x = 0 or x = √(27/11)

After again differentiating the function we get

x = √(27/11) as the local minima of the function.

Hence, x = √(27/11) is the local minima of the function g(x) = x¹¹ - 3x⁹ +2

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The illustration represents the positions of two planes on a radar screen at an airport control tower. The control tower is located at the origin. The radii of the circles are in miles.

Due to a problem on the ground, the pilots have been told to continue circling the airport and to maintain the same airspeed. The planes are located at the same altitude. Determine the equation of the circle on which the two planes are flying.

Answers

Answer:

0, 08

Step-by-step explanation:

You want the equation of the circle shown on the radar screen as having a radius of 8 miles, centered at the origin.

Equation of a circle

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Application

Your circle is shown as having a radius of 8 miles. It is centered at the same origin where the control tower is located. That means we have ...

  (h, k) = (0, 0)

  r = 8

Using these values in the circle equation gives ...

  (x -0)² +(y -0)² = 8²

What is the solution to the system of equations?
-2x + 5y = -16
3x - 4y = 17

Answers

The solution of the system of equations is , x= -16 - 10/2 = 13

What is equations?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.

According  to our question-

-2x + 5y = -16  (3) =       -6x + 15y = -48

 3x -  4y  = 17  (2) =         6x -   8y  =   34

7y =     -14

y= -14/7 = 2

-2x + 5(2) = -16

-2x + 10 = -16

x= -16 - 10/2 = 13

hence,The solution of the system of equations is , x= -16 - 10/2 = 13

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Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:

Answers

Answer: (-3,0)

Step-by-step explanation:

-1 - 2 = -3

1+2=3

3+2=5

2 is the common thing between 2 and 4, 4 and 6,  6 and 8 so from -2 + 2 = 0

What is −11 + |−5| − |−15|?

A. −11
B. −9
C. −26
D. −21

Answers

Answer:

d) -21

Step-by-step explanation:

Given problem,

→ -11 + |-5| - |-15|

Let's solve the given problem,

→ -11 + |-5| - |-15|

→ -11 + 5 - 15

→ -11 - 10 = -21

Hence, the answer is -21.

Answer:

D. −21

Step-by-step explanation:

The bars either side of an expression or a value are the absolute value symbol.  

"Absolute value" means how far a value is from zero.

Therefore, the absolute value of a number is its positive numerical value.

Given expression:

[tex]-11 + |-5| - |-15|[/tex]

Absolute values in the given expression:

[tex]| -5 | = 5[/tex][tex]| -15 | = 15[/tex]

Therefore:

[tex]\begin{aligned} \implies -11 + |-5| - |-15|&=-11+5-15\\&=-6-15\\&=-21 \end{aligned}[/tex]

Kirsty makes orange-strawberry punch. The table shows how many parts orange juice and strawberry juice to make one batch.

Orange-Strawberry Punch
Parts Orange Juice
4
Parts Strawberry Juice
5

Kirsty decides to increase the strawberry juice by one part. What is the new ratio of strawberry juice to orange juice?
For every 4 parts orange juice there are 4 parts strawberry juice.
For every 5 parts orange juice there are 4 parts strawberry juice.
For every 4 parts orange juice there are 6 parts strawberry juice.
For every 5 parts orange juice there are 6 parts strawberry juice.

Answers

Answer:

2nd one, hope this helps

Step-by-step explanation:

Answer:

It is C.

Step-by-step explanation:

Do not listen to top answer

I got it right on unit test review ….

Please help! Explain how to find the slope and y-intercept by just looking at the equation y=1/3x-2. Then graph the equation and verify your answers.

Answers

Slope of the given equation is m = 1/3

intercept of the given equation = (0 , -2)

and the graph is attached below .

What is slope ?Slope is a number that describes the steepness of a line, usually determined by calculating the ratio of the vertical distance to the horizontal distance (rise) between two points. The slope of the line is the rate of increase in y for any given increase in x. slope indicates the slope of the line, i.e. how much y increases as x increases. The slope is constant (the same) everywhere along the straight line. One way to think of the slope of a line is to think of a roof or  ski slope. Both the roof and the ski slopes can be very steep or quite flat. In fact, both ski slopes and roofs can be perfectly flat (horizontal) like lines. There are no perfectly vertical ski slopes or roofs, but lines are possible. You can usually tell visually  which  slope is steeper than the other. Indeed, the three  slopes  gradually become steeper.Calculation

using slope intercept formula

y =  mx  + b

we get

slope of the given equation ( y = 1/3 x   - 2  )

is m = 1/3

if we put values either of x or y

we get intercepts as  ( 0 , -2 )

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4. Can the output of f(x) = 5 ever be a negative number? Why
a
or why not?

Answers

There is not any chance of getting negative number in answer.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x) = 5

Here, f(x) = 5 shows that whatever is the value of x the result value will be 5.

As, there is no variable x in the defined function and only having a constant 5 which is positive in nature.

So, whatever be the value of x is we will get 5  only.

Thus, there is not any chance of getting negative number in answer.

For example, f(1)= 5, f(3)= 5, f(-5)= 5

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In outer space, the distant an object travels varies directly with the amount of time it travels. If an asteroid travels 3000 miles in 6 hours, how far could the asteroid travel in 9 hours?

Answers

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

3000 miles = 6 hours

4500 miles = 9 hours

The distance asteroid travel in 9 hours is 4500 miles

What is a unit rate?

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

3000 miles = 6 hours

Divide both sides by 6.

500 miles = 1 hour

Multiply 9 on both sides.

9 x 500 miles = 9 hours

9 hours = 4500 miles

Thus,

The distance asteroid travel in 9 hours is 4500 miles

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What is the sum of all integers n that make this statement true?
-3n < 7n-20 < 3n
The notation a < b < c means that a < b and b < c must both be true at once.

Answers

We can simplify the inequality to:

-1/2 < -1/n < -1/5

The solutions are n = 3 and n =4, and the sum of these is equal to 7

How to get the sum?

We start with the inequality:

-3n < 7n - 20 < 3n

First, we need to solve this for n.

if we divide all the inequality by n, we will get:

-3 < 7 - 20/n < 3

Now we can subtract 7 in all the parts to get:

-3 - 7 < -20/n < 3 - 7

-10 < -20/n < -4

Fiinally, if we divide by 20 we get:

-10/20 < -1/n < -4/20

-1/2 < -1/n < -1/5

So if n is only an integer number, the values of n that make the inequality true are:

n = 3 and n = 4

Then the sum of these two values is:

sum = 3 + 4 =7

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solve for x
m = -12bx - 3 + 9x

Answers

Answer:

Below

Step-by-step explanation:

m = x ( -12b+9)  - 3

m+ 3 = x (-12b+9)

x =   (m+3) / ( -12b+9)       0r     (m+3) / (9-12b)

find m a. 14
b. 39
c. 51
d. 90

Answers

I WILL USE SUM OF INTERIOR ANGLES OF A TRIANGLE TO GET x

[tex](2x + 11) + (4x - 5) + 90 = 180 \\ 2x + 4x + 11 - 5 + 90 = 180 \\ 6x + 96 = 180 \\ 6x = 180 - 96 \\ 6x = 84 \\ \frac{6x}{6} = \frac{84}{6} \\ x = 14[/tex]

THE ANSWER IS OPTION a

X=14°

1/7+2/6 please help me

Answers

Answer:

10/21

Step-by-step explanation:

1/7+1/6=6/42+14/42

=(6+14)/42

=20/42

=10/21

what is the quotient of -0.75 0.4 please help

Answers

The quotient of -0.75 /0.4 is approximately -1.88.

What is the quotient?

This refers to the value you get after division operation has been carried out.

given in the question:

-0.75/0.4 = -1.875

≈ -1.88

Recall, according to the sign rule in mathematics:

Any negative number divided by a positive number gives a negative value.

hence the quotient of -0.75/0.4= -1.875

                                                   ≈ -1.88

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help, please the question in the picture

Answers

The probability that the advertising firm chosen at random has less than $1 million in revenue is 0.56.

The probability that the advertising firm chosen at random has an income between $1 million and $20 million or over $20 million is 0.44.

The rule used is the rule of addition only.

What are the probabilities?

Probability is used in statistics to calculate the likelihood that a random event would take place.  The likelihood that the random event occurs has a probability value that lies between 0 and 1.

The more likely it is that the event would occur, the closer the probability value would be to 1. The more unlikely it is that the event would not happen, the closer the probability value would be to 0.

The rules of addition is used to determine the probability that either of two events would occur.

Probability that the advertising firm chosen at random has less than $1 million in revenue = total number of firms that have a revenue that is less than 1 million / total number of firms surveyed

Probability that the advertising firm chosen at random has less than $1 million in revenue = 148 / 264 = 0.56

Probability that the advertising firm chosen at random has an income between $1 million and $20 million or over $20 million = (number of firms that have an income between $1 million and $20 million / total number of firms) + (number of firms that have an income over $20 million / total number of firms)

= (67 / 264) +  (49 / 264)

= 116 / 264 = 0.44

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Kathy invested $3000 at a rate of 7% for 4 years and 6 months. Find the amount she got back.

Answers

The amount that Kathy got back after 4 years and 6 months is  $3945   .

In the question ,

it is given that ,

the amount invested by Kathy(P) = $3000

the rate at which the amount is invested (r) = 7% per annum

time for which the amount is invested (t) = 4 years and 6 month = 4.5 years

the simple interest calculated by

Simple Interest = ( 3000 × 7 × 4.5)/100

= 94500/100

= 945

So , the interest is $945 .

So , the amount that Kathy get = Principle + Interest

= 3000 + 945

= 3945

Therefore , amount that Kathy got back after 4 years and 6 months is  $3945   .

The given question is incomplete , the complete question is

Kathy invested $3000 at a rate of 7% simple interest for 4 years and 6 months. Find the amount she got back.

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what is the sum of the first 80
Consecutive odd numbers?

Answers

The number series 1, 3, 5, 7, 9, …., 159. Therefore, 6400 is the sum of first 80 odd numbers

PLEASE HELP IM SO DESPRATE !!!!!PLEASE MARK CORRECT ANSWER IN EXPLANATION:)

The expression below is a polynomial. wy^2(8y^3 - 2y^2 + 7y) It simplifies to 40y^5 - 10y^4 + 35y^3. What must be the value of w?

Answers

Answer:   w = 5

==================================================

Explanation:

The term wy^2 out front multiplies with each term inside the parenthesis (because of the distributive rule).

Let's multiply the outer term with the first term inside the parenthesis to get the following:

wy^2 times 8y^3 = 8wy^5

Compare 8wy^5 with 40y^5, and we see the coefficients 8w and 40 match up. Therefore, 8w = 40 solves to w = 5

Which variables would the scatter plot at the right be most likely to represent?



Question 2 options:

The number of people at a concert and the total concession sales


The number of guests at a hotel and the total water consumption


The number of siblings a person has and the person's GPA


The total number of miles driven and the total gallons of gas used

Answers

The variables that the scatter plot at the right would  be most likely to represent is option C: The number of siblings a person has and the person's GPA.

What types of variables are allowed to be used in a scatter plot?

To illustrate how much one variable affects another, scatter plots are tools that are often used to place data points on a horizontal as well as  vertical axis.

A marker is used to represent each row in the data table, and the position of the marker depends on the values of the columns that are set up on the X and Y axes.

From the graph above, the Independent variables (siblings) are typically plotted on the horizontal axis, and dependent variables (Person's GPA) are typically plotted on the vertical axis.

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Given <2=13, which lines, if any, must be parallel based on
the given information? Justify your conclusion.

Answers

Answer:

a parallel to b

Step-by-step explanation:

IXL Please Help Fast!

Answers

Answer:

[tex]y=2x-1[/tex]

Step-by-step explanation:

Take a look at the attachment...

Hope this helps! :)

A guy wire used to support a tower is 200 feet long. The guy wire is attached to the top of the tower and is anchored to the ground 150 feet away from the base. How tall is the tower?

Answers

The height of the tower that was supported with the wire is 132.29 feet.

What is the height of the tower?

The tower, the wire and the ground would form a right triangle. A right triangle is a polygon that has three sides. The longest side is the hypotenuse. The other two sides are the length and the base.

In this question, the wire is the hypotenuse, the tower is the length and the ground is the base. Pythagoras theorem would be used to determine the height of the tower.

The Pythagoras theorem: a² + b² = c²

where:

a = length

b = base

c = hypotenuse

a² + 150² = 200²

a² + 22,500 = 40,000

a² = 40,000 - 22,500

a² = 17,500

a = √17,500

a = 132.29 feet

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The growth of the world's population can be described by the equation A=Age, where time t is measure in years, A, is the population of the world at t=0, r is the annual growth rate, and A is the population at time t. Assume that r= 3% per year. How long will it take a
population of 8 billion to increase to 9 billion.
_ years, round to the nearest whole number

Answers

It will take 37.5 years.

From the question, we have

A_0 = 8 billion

A  = 9 billion.

r= 3% per year

A  = A_0*e^rt

9 = 8*e^3t/100

9/8 = e^3t/100

Taking log_e both sides,

log_e 9/8 = log_e e^3t/100

9/8 = 3t/100

t = (9*100)/(8*3)

t = 37.5 years

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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