A relay lasts 5.92 miles.Each relay team has 4 runners.If each runnwr goes the same direction in the race, how far does each person run? Explain your answer.​

Answer:

x+74=135

x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)

In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

To know more about Angle related question visit:

https://brainly.com/question/31818999

#SPJ11

Simplifying

3y + 4x = 2

Reorder the terms:

4x + 3y = 2

Solving

4x + 3y = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.

4x + 3y + -3y = 2 + -3y

Combine like terms: 3y + -3y = 0

4x + 0 = 2 + -3y

4x = 2 + -3y

Divide each side by '4'.

x = 0.5 + -0.75y

Simplifying

x = 0.5 + -0.75y

The line connecting two coordinates (0,66)  and (0.5,0) show below.

What is Mathematical equation ?

By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign. In other words the equation represents the graph between x and y that is for each value of x there exist one value of y.

Here, the given equation is :

3y + 4x = 2

now, to sketch the equation in graph we need to find the two coordinate first,

Let, x= 0 then y will be :

3y+4x=2

3y = 2

y = 2/3 = 0.66

that is first coordinate is (0,66)

Now, for y = 0 , x will be :

3y+4x=2

4x = 2

x = 0.5

that is second coordinate will be (0.5 , 0)

Now, draw the line connecting these two points show below.

check and know more about equation of line here :

https://brainly.com/question/21511618

#SPJ2

Answer:

Try (-2,-4)

Step-by-step explanation:

Answer:

28-7x

Step-by-step explanation:

Distribute the 7 outside the parentheses to give:

7(4) = 28

7(-x) = -7x

Hope this helped!

Answer:

28-7x

Step-by-step explanation:

7(4-x)

expand:

=7*4 + 7*-x

= 28-7x

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

Learn more about prime factorizations:

https://brainly.com/question/1081523

#SPJ1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

point 01 (-3, 3)

point 02 (2 , -32)

Step 02:

equation of the line (y = mx + b)

slope = m

(y - y1) = m (x - x1)

(y - 3) = -7 (x - (-3))

y - 3 = -7 (x + 3)

y = -7x - 21 + 3

y = -7x - 18

The answer is:

y = -7x - 18

Answer:

B

Step-by-step explanation:

I'm pretty sure it is B but if not I'm sorry

When six integers are chosen from the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, there must be at least one pair of integers that adds up to 11. This can be proven using a proof by contradiction.

To solve this problem, we can use a proof by contradiction. We assume that there are six integers chosen from A such that no two integers add up to 11.

If there is no pair of integers in the six chosen that sum up to 11, then we can consider the pairs of integers (1,10), (2,9), (3,8), (4,7), and (5,6). These are the only possible pairs of integers in A that add up to 11.

However, since there are five pairs and we can choose at most one integer from each pair, we can choose at most five integers in total. This is a contradiction since we were asked to choose six integers from A. Therefore, our assumption that there are no pairs of integers that add up to 11 is false.

Hence, we conclude that there must be at least one pair of integers among the six chosen that adds up to 11.

To know more about integer here

https://brainly.com/question/4196546

#SPJ4

The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

To learn more about volume:

https://brainly.in/question/17575802

#SPJ4

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

The standard size for legal paper in North America and Canada is 8.5 inches by 14 inches.

The standard size for legal paper in North America and Canada is 8.5 inches by 14 inches. On the other hand, A4 paper, which measures 8.5 inches by 11 inches, is the standard legal paper size in Europe and the majority of other nations. Moreover, the legal-size bond paper is 8.5 inches x 14 inches.

Here are the legal size paper dimensions in different units; let's have a look.

Legal paper size in inches: 8.5 inches x 14 inches

Legal size paper in cm: 21.6cm x 35.6 cm

Legal paper size in mm: 216mm x 356mm

A4 Paper which is considered a legal paper size in Europe, etc., has the following dimensions in different units:

A4 paper dimensions in inches: 8.5 inches x 11 inches

A4 paper dimensions in cm: 216 x 279mm

A4 paper dimensions in mm: 21.6 x 27.9 cm

learn more about dimensions,

https://brainly.com/question/28685176

#SPJ4

Answer:

Step-by-step explanation:

-19y=-13x -14 to y=-13/-19 - -14/-19

The largest possible variance a Bernoulli(p) random variable can have is 0.25. This occurs when p = 0.5.


The variance of a Bernoulli(p) random variable is given by:

Var(X) = p(1-p)

To find the largest possible variance, we need to maximize this expression with respect to p. Taking the derivative with respect to p and setting it equal to zero, we get:

dVar(X)/dp = 1 - 2p = 0

Solving for p, we get:

p = 0.5

Plugging this value back into the expression for the variance, we get:

Var(X) = 0.5(1-0.5) = 0.25

Therefore, the largest possible variance a Bernoulli(p) random variable can have is 0.25, and this occurs when p = 0.5.

For more similar questions on bernoulli:

brainly.com/question/13097555

#SPJ11

The condition that is not met is that the sample size must be large enough to assume that the sample proportions are normally distributed.

Number is a mathematical object used to count, measure, and label. It is one of the fundamental building blocks of mathematics and is essential for any kind of calculation or measurement. Number is an abstract concept that is used in many different ways, from counting objects to expressing complex mathematical systems. Numbers can be used to represent anything from a single item to the entire universe. Numbers are also used to represent abstract ideas such as time, money, and probability.

With a sample size of only 25, it is not possible to assume that the sample proportions follow a normal distribution. As such, calculating a confidence interval for the population proportion of bags with too much salt is not possible.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1


Complete questions as follows-
sapling a quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. of the bags inspected, 3 had too much salt. which of the conditions for calculating a confidence interval for the population proportion of bags with too much salt is not met?

Answer:

y=-1 x=26 (26,-1)

Step-by-step explanation:

We know that Mr. Garcia drives 26 miles per gallon, this means that the slope will be (26,-1)

Answer:

I'm sorry I don't now that

Inequalities are used to compare unequal expressions. The inequalities that will have -0.5, 2.5, and 4 in the solution set are A, B, and D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

In order to find the inequality that has -0. 5, 2. 5, and 4 as part of the solution set. we will discuss every inequality individually,

A.) Z > -3

In the given inequality, the solution set is every number from -2 to +∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.

B.) X<5

In the given inequality, the solution set is every number from 4 to -∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.

C.) Z<4

In the given inequality, the solution set is every number from 3 to -∞. therefore, the solution set will have -0.5, and 2.5 as its solution but will not contain 4 as the solution.

D.) Z≤4

In the given inequality, the solution set is every number from 4 to -∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.

E.) Z>0

In the given inequality, the solution set is every number from -1 to -∞. therefore, the solution set will have -0.5 as the solution but will not have  2.5, and 4 as the solutions.

Hence, the inequalities that will have -0.5, 2.5, and 4 in the solution set are A, B, and D.

Learn more about Inequalities:

https://brainly.com/question/19491153

Answer:

5:1

Step-by-step explanation:

10 divided by 2 is 5

2 divided by 2 is one.

Hope you get a good Grade!

Answer:

5:1

Hope this helps!

Answer:

9x2=18 53x5=265 60 divided by 10 is 6 18+265+10=293

Step-by-step explanation:

Answer:

its 649................

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

The angle of depression the plane should descend is 1.43 degrees.

A plane is flying at an altitude of 25,000 ft when it start it descent to the airport. The plane is a horizontal distance of 1000,000 ft from the airport.

Therefore, let's find the angle of depression.

Hence, this situation forms a right angle triangle.

Therefore,

tan ∅ = opposite / adjacent

where

Hence,

tan ∅ = 25000 / 1000000

∅ = tan⁻¹ 25 / 1000

∅ =  tan⁻¹  0.025

∅ = 1.43209618416

∅ = 1.43 degrees

learn more on right triangle here: https://brainly.com/question/3770177

#SPJ1

Answer:

x=2 y=-4

Step-by-step explanation:

8x+3y=4 (multiply by 5)

-7x+5y=-34 (multiply by -3)

40x+15y=20

21x-15y=102 (combine both equations)

61x=122 (divide by 61)

x=2 **

8(2)+3y=4 (plug in x)

16+3y=4 (subtract by 16)

3y=-12 (divide by 3)

y=-4 **

The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

Learn more about mystery numbers on:

brainly.com/question/25734188

#SPJ1

Answer:

21x+14y

=7(3x+2y) taking common 7

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

Learn more about sales tax -

https://brainly.com/question/9437038

#SPJ4

Learn more

Answer:

4th and 5th option

Step-by-step explanation:

you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option

this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)

Answer:

the last two

Step-by-step explanation:

Answer:

F; A translation of 6 up and 4 left and a reflection across the x-axis

Step-by-step explanation:

Here, we want to perform the translation that would move S to S’

to do this, we can have a subtraction

For 1 to move to -3 on the x-axis;

it means there is a leftward shift of upto 4 units

For -8 to turn to 2;

this is positive; there is a vertical upward translation of upto 10 units on the y-axis

This option is not directly available; thus we have to factor the reflection

if we reflect on the x-axis, the y-axis value becomes negated; if we reflect on the y-axis, the x-value becomes negated

The correct answer is thus;

A translation of 6 up and 4 left, followed by a reflection across the x-axis

Answer:

Radius r = 1.

Step-by-step explanation:

Area of MNOP = (√2π)^2 = 2π.

Area 1 = Area 2, so

2π = 2πr^2

Dividing both sides by 2π:-

r^2 = 1.

r = 1.