sid ran 75.7 miles last week and 3.75 miles this week what is the total distance

Answer:

s = √77

it is not rational since 77 not a perfect square

Step-by-step explanation:

area = s^2 = s * s = 77

==> s = √77

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

42

Step-by-step explanation:

Answer:

okkkkkk???

Step-by-step explanation:

The step to solve the system of equations using is

Step 1 : A-Since the second equation is solved for x, substitute 6y + 1 for x in the first equation.

Step 2: C-Solve the resulting equation for y

Step 3: B-Substitute the value for y into either equation to find x.

Step 4: D- Write the solution as an ordered pair, and check the solution.

From the question, we are to match each step to show how to solve the system of equations.

The given system of equations is

7x - 2y = -1

x = 6y + 1

Step 1: Since the second equation is solved for x, substitute 6y + 1 for x in the first equation

7(6y + 1) - 2y = -1

Step 2: Solve the resulting equation for y

7(6y + 1) - 2y = -1

42y + 7 - 2y = -1

42y - 2y = -1 - 7

40y = -8

Divide both sides by 40

y = -8/40

y = -1/5

Step 3: Substitute the value for y into either equation to find x

x = 6y + 1

x = 6(-1/5) + 1

x = -6/5 + 1

x = -1/5

Step 4: Write the solution as an ordered pair, and check the solution

7x - 2y = -1

7(-1/5) - 2(-1/5) = -1

-7/5 + 2/5 = -1

-1 = -1

True

x = 6y + 1

-1/5 = 6(-1/5) + 1

-1/5 = -6/5 + 1

-1/5 = -1/5

True

Hence, the steps to solve the system of equations using is

Step 1: A

Step 2: C

Step 3: B

Step 4: D

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Answer:

it's a

Step-by-step explanation:

he shouldn't go over it and 6×8 is 48 which is right under 50

Answer:

6

Step-by-step explanation:

Liam only has $50 and cannot go over that so you multiply 8 by 6 and that gets you 48.

Answer:

Done: $9.75 an hour

Amy: $10 an hour

Amy makes more than Done per hour

Step-by-step explanation:

\(Done:\\97.50/ 10 = 9.75\\Amy:\\120/12=10\\\)

We can see from the picture of the question that the error in solving this system of linear equations was that when the second equation was multiplied by -4. We need to multiply the whole equation, including the right side of the equation. We can see that:

And the result must be:

And the second equation was: -4x + 8y = -13 (this is not correct.)

Therefore, the right side of the equation was not multiplied by -4 (this was the error.) (First option.)

The correct answer is:

Substituting this value in the first equation, we can, then, find the value for x:

Answer:

A relationship in algebraic equation form is,

Step-by-step explanation:

Given the statement:

Cost per mile is calculated by dividing total cost by total miles.

Using the notation:

P represents the Cost per mile

C represents the total cost

M represents the total miles

"dividing" means

"dividing total cost(C) by total miles(M)" translated to

then;

Cost per mile(P) is calculated by:

Therefore, a relationship in algebraic equation form is,

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Answer: C=48

Step-by-step explanation:

so what i do is find the actual square and find area of that then that equals 36 then move one triangle over and the other problem will be 2x6 which is twelve add them together which dives you 48

The area of the trapezoid will be A= 48 square feet.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs. The parallel sides can be horizontal, vertical or slanting.

The area of the trapezoid is given by the formula:

\(A=\dfrac{1}{2}\times ({a+b})\times H\)

From the given figure

a=6 ft

b= 2+2+6=10 ft

H= 6 ft

By putting the values in the formula we get:

\(A=\dfrac{1}{2}\times (6+10)\times 6=48\ square \ feet\)

Hence the area of the trapezoid will be A= 48 square feet.

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Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.

Answer Output using MINITAB software is given below at the end of answer (bar graph)

Frequency:

The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.

The width of class is 10.

Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.

The number of tally marks in each class represents the frequency, f of that class.

Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.

The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.

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Answer:

D

Step-by-step explanation:

The graph which shows that 1.6 kilometer = 1 mile has been attached below  and the slope of the graph is 0.625.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

1.6 kilometer = 1 mile

Let's say x-axis represents the number of kilometer while y-axis number of miles.

Then, point (1.6,1).

The proportion will be, y = x/1.6.

The slope will be, 1/1.6 = 0.625.

Hence "The graph which shows that 1.6 kilometer = 1 mile has been attached below  and the slope of the graph is 0.625".

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Answer:

false

Step-by-step explanation:

When solving the distance formula it is the distance from one point to another. If you had a rectangle and used the distance formula from each point then you would have a perimeter

7th term of the given sequence is 448.

Every term in a geometric series is obtained by multiplying the term before it by the same number. Its common term is.

aₙ =  a₁ rⁿ⁻¹

Given A geometric series 7, –14, 28, –56, ... Here we can see first term a₁ is 7 and the ratio of two-term(r) is -14/7 or -2. to find 7th term

Hence,  

a₇ = 7 * (-2)⁷⁻¹

a₇ = 448

therefore 7th term of the given geometric series is 448.

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The estimated profits for each company are given as follows:

Jones Corporation:

Davis Company:

The function that defines the profit for Jones Corporation is an exponential function defined as follows:

y = 10(0.99)^t

In which t is the number of years since 2015, while the profit is measured in millions of dollars.

Thus the coefficient a = 10 means that the estimated profit for the year of 2015 is of 10 million dollars.

For the year of 2025, that is, 10 years after 2015, the estimate is calculated as follows:

y = 10(0.99)^10 = 9.084821 = $9,084,821.

For Davis Company, the profit function is given as follows:

y = 8(1.01)^t.

Hence the profits are modeled as follows:

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The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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Answer:

Step-by-step explanation:

Given equation:

Now, let's solve the equation:

Their rate was 85 toys per day.

Answer:

2/3 + ( -2 1/3) = -1 2/3

Step-by-step explanation:

Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

Answer:

Step-by-step explanation:

Solve each equation and find the correct one

A)

B)

C)

D)

#1

\(\\ \tt\Rrightarrow m+n=p\implies m=p-n\)

#2

\(\\ \tt\Rrightarrow m-n=p\implies m=p+n\)

#3

\(\\ \tt\Rrightarrow m/n=p\implies m=pn\)

\(\\ \tt\Rrightarrow mn=p\implies m=p/n\)

Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

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Answer: It's not possible for a positive, even integer to have a specific shape, such as the shape of a 4. This is because integers are abstract mathematical concepts that represent whole numbers and do not have any physical properties, such as shape. Additionally, even integers are simply integers that are divisible by 2, and do not have any specific shape associated with them.

If you're asking about a specific number that has the shape of a 4, such as the number "4" written in a specific way, it's important to note that the value of a number does not depend on its physical appearance. For example, the number 4 written as "4" and the number 4 written as "IV" (the Roman numeral for 4) are both the same number, and have the same value.

Answer:

The graph

Step-by-step explanation:

The graph has a slope of 4, the equation has a slope of 3, the table has a slope of 2.

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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