A road is
4/5
of a mile long. A crew needs to repave 2/5
of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.

The equation of line S is y = 2x + 14 while that of line T is y = -2x + 6.

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

For line s, using the points: (-5, 4) and (4, 22). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4=\frac{22-4}{4-(-5)} (x-(-5))\\\\y-4=2(x+5)\\\\ y=2x+14\)

Line T passes through the points (-4, 14) and (5, -4). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-14=\frac{-4-14}{5-(-4)} (x-(-4))\\\\y-14=-2(x+4)\\\\ y=-2x+6\)

Hence the equation of line S is y = 2x + 14 while that of line T is y = -2x + 6.

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The value of x is 1 and -8.

To solve this problem we need to understand the concept of quadratic equation.

To solve Quadratic equation we need to understand the concept of equation which says the factor of the product of coefficient of \(x^{2}\) and constant must on adding or substracting give the coefficient of x.

Here the equation is \(x^{2} +7x-8=0\)

The product of coefficient  is 8. The factors of 8 is 8 and 1 which gives 7 on substracting.

Now,

\(x^{2} +8x-x-8=0\)

⇒\(x(x+8)-1(x+8)=0\\\)

⇒\((x-1)(x+8)=0\)

∴ x=1,-8.

So, the required values of x is 1 and -8.

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Answer:

$7.25 = 2.5, so divide by 7.25 by 5 = 1.45 <- better deal & $0.46333333333 per litre.

5.74 = 1.5, so divide 5.74 by 3 = 1.91333333333

Step-by-step explanation:

Why 3 and 5 - 0.5 is 5 times 2.5 and so is 0.5 times 3= 1.5

1.91333333333 - 1.45 = $0.46333333333 per litre.

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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Answer:

16.2 pounds (least accurate)

13.9 pounds (2nd least accurate)

15.10 pounds (2nd most accurate)

15.01 pounds (most accurate)

Step-by-step explanation:

I hope this helps :)

Answer:

16.2 pounds

13.9 pounds

15.10 pounds

15.01 pounds

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

c

Step-by-step explanation:

the square root of 106 is 10.

29

The value of x is 2 or 10 and the value of length RA is 96

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

If RA = MA

x²-4x = 8x -20

x²-4x-8x +20 = 0

x²-12x +20 = 0

x²-10x -2x +20 = 0

(x²-10x)(-2x+20) = 0

x( x -10) -2(x-10) = 0

(x-2)(x-10) = 0

x-2 = 0

or x-10 = 0

x = 2 or 10

therefore RA = x²-4

when x = 2

RA = 0

when x = 10

RA = 100-4

= 96

therefore the value of length of RA is 96

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Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

\(v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s\)

So, the speed is 2.25 ft/s.

Answer:

13

Step-by-step explanation:

If 23 like both animals, then the total number of people who like both animals is:

(75 - 23) + (135 - 23) + 23 = 187

Subtract 187 from the total number of people in the survey to find how many like neither:

200 - 187 = 13

The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016

To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.

Restaurants per capita = R / p

Substituting the given equations, we get:

Restaurants per capita = \((6t + 35) / (200t + 4500)\)

To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).

Restaurants per capita (2016) = \((6 * 6 + 35) / (200 * 6 + 4500)\)

= \((36 + 35) / (1200 + 4500)\)

= 71 / 5700

This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.

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This is oddly the funniest question I've seen so far. But never fear, I guess I'm here? :\

Honestly, I'm kinda lost but your answer should be $88.88. Even though it would say $88.88 multiplied by total hours, which is 4 hours and 25 minutes is $377.74, that answer is determined by a thousandth of a number. If you want it the other way, it's 88.8824.

Definitely hope this helped. [Pretty much, the answer is $88.88.]

The cost of labor per hour is $75.

It is required to find the cost of labor per hour.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.

Total charge = cost of total hours worked + cost of parts

$377.75 = $59 +  cost of total hours worked

Cost of total hours worked = $377.75 - $59

Cost of total hours worked = $318.75

In order to determine the cost per hour of labor, divide the total cost of total hours worked by the hours worked.

$318.75 / 4.25 = $75.

Therefore, the cost of labor per hour is $75.

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Answer:

Step-by-step explanation:

Answer:

$13.8

Step-by-step explanation:

Based off the information given in the question, we know that 9.66 is equal to 7/10s of the cost. Thus, in mathematical notation:

\(9.66 = C\frac{7}{10}\)

Where C represents the total cost of the preset. Thus, to find the total cost, we simply solve this single variable equation, by multiplying both sides by the 10/7.

Thus, we get C = $13.8

The profession that would earn that amount more than a bank teller is Office Clerk.

The profession that would earn $1,151,700 in 30 years is Bookkeeper.

The profession that will earn  $828,600 over a 20-year career is Truck Driver.

The profession that earns $136,200 more than a fire fighter over a period of 30 years is Electrician

The 15 year difference between bank teller and office clerk is:

= ( 30, 850 x 15 ) - ( 27, 260 x 15 )

= $ 53, 850

The earnings of a Bookkeeper in 30 years is:

= 38, 390 x 30

= $ 1, 151, 700

The earnings of a Truck driver in 20 years is :

= 41, 430 x 20

= $ 828, 600

The difference between earnings of Fire fighter and Electrician over 30 years is:

= ( 52, 570 x 30 ) - ( 48, 030 x 30 )

= $ 136, 200

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The point that lies on the line is (6, 7).To find the point that lies on the line passing through the points (6, 7) and (7, 0), we can first determine the equation of the line using the slope-intercept form.

The slope of the line can be calculated as:

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

Substituting the values from the given points, we have:

slope = (0 - 7) / (7 - 6) = -7

Next, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

Using the point (6, 7), we can substitute the values into the equation:

7 = -7(6) + b

Simplifying, we find:7 = -42 + b

Adding 42 to both sides, we get:

b = 49

The equation of the line passing through the points (6, 7) and (7, 0) is y = -7x + 49.

To find the point that lies on this line, we can substitute any x-value into the equation and solve for the corresponding y-value. Let's choose x = 6:

y = -7(6) + 49

= -42 + 49

= 7.

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Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer:

1) B

2) B

Step-by-step explanation:

1) funtion 1 slope is 4

function 2 we use y2-y1/x2-x1

10-6/3-1

4/2

2 is the slope of function 2

so function 1 is bigger

1) only b is correct because it lands on the same line of y=x

hopes this helps please mark brainliest

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer\Step-by-step explanation:

0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2

                  ⟹ 2xy≤x^2+y^2

             ⟹ xy≤ x2+y2\2

                  ⟹ xy≤ x^2+y^2

since the clearly nonnegative real x^2+y^2

clearly satisfies x^2+y^2\2  ≤x^2+y^2.

The proof of the quadratic equation  (x-y)²=x²-2xy+y²​ is given.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

Quadratic equation

(x-y)²=x²-2xy+y²​

To prove the equation:

We substitute the value and see if LHS = RHS.

In the LHS,

LHS =  (x-y)²

LHS =  (2-1)²

LHS =  1

In the RHS,

RHS = x²-2xy+y²​

RHS = 4 - 4 + 1

RHS = 1

LHS = RHS​

Therefore, the theorem (x-y)²=x²-2xy+y²​ is proved.

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Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

the first one

Step-by-step explanation:

i assume they want to know how many cookies are in each box so you take the total number of cookies and divide by the number of boxes which is four so t/4 = b since they don't give you an amount of cookies

Answer:

t/4 = b aka the first one

Step-by-step explanation:

t/4 is the same as b

The first plane is farther from the airstrip after the second leg

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther

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Answer:

let's call the entire length of the foot race we are looking for:  d

for distance.

We can then rewrite this problem as:

One-third of  d

is 5 miles. What is  d .

When dealing with fractions in this way the word "of" means to multiply. So we can write this problem in algebraic form as:

1 3 × d = 5

We can multiply each side of the equation by  

3  to solve for  d

while keeping the equation balanced:

3 × 1 3 × d = 3 × 5

3 3 × d = 15  1 × d = 15 d = 15

The length of the race is 15 miles.

Step-by-step explanation:

hope this helps

Answer: 40%

Step-by-step explanation:

Since the total votes can only be 100% if one receives 60%, or 6/10 then the other must receive 40%, or 4/10.

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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