Kylie is training for an upcoming marathon and has committed to running
more than 21 miles today. If she runs from her house, she can run along two
loops: a short path that is 3 miles in length, and a long path that is 6 miles in
length. Select the inequality in standard form that describes this situation. (x
= the number of loops on the short path, y = the number of loops on the long
path).

To meet her goal of riding a total of 28.8 miles, Keilantra needs to ride an average of 6.2 miles.

Here we know that Keilantra wants to rude her bicycle for a total of 28.8 miles.

We know that she has already ridden 4 miles, so the distance left to meet her goal is:

D = 28.8mi - 4mi = 24.8mi

Now we know that she wants to meet her goal in 4 days, so the average that she needs to ride in each of these 4 days is given by the quotient:

24.8mi/4 = 6.2 mi

To meet her goal, Keilantra needs to ride an average of 6.2 miles.

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It was discovered that the pressure in atmospheres (atm), when applied to a balloon, was inversely related to the height in meters, squared root. The pressure was 1.44 atm when the balloon was 25 meters height in the air. What was the pressure like at a 9-meter height?

The pressure is 2.4 atm when the height is 9m.

Inversely proportion means when one variable is directly proportional to the reciprocal of the other, there is an inverse fluctuation between the two variables. In other words, the two variables' product has a fixed value. Therefore, as one variable rises, the other falls.

Here, We take pressure of atmosphere as P and the height of the balloon as H.

Given that, The pressure of atmosphere was inversely proportional to the square root of the height.

We write this as [tex]P[/tex]∝[tex]\frac{1}{\sqrt{H} }[/tex].

Taking constant of the proportionality as k.

[tex]P[/tex]=[tex]\frac{k}{\sqrt{H} }[/tex].

We have, The pressure was 1.44 atm when the balloon was 25 meters height in the air.

P=1.44 and H=25

[tex]1.44=\frac{k}{\sqrt{25} }[/tex].

[tex]1.44=\frac{k}{5}[/tex]

[tex]k=5\times1.44[/tex]

[tex]k=7.2[/tex]

Now [tex]P=\frac{7.2}{H}[/tex]

We have to find If H is 9m then what is P?

[tex]P=\frac{7.2}{\sqrt{9} }[/tex]

[tex]P=\frac{7.2}{3}[/tex]

[tex]P=2.4\\[/tex]

Therefore, The pressure is 2.4 atm when the height is 9m.

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x(2x+5) = 3 and 2x²+5x = 3 are equivalent algebraic expression.

Equivalent expressions are those expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). They are same but looks different.

Given that, x(2x+5) = 3 and 2x²+5x = 3 and we have to conclude how both expressions are related to each other.

Let's procced to solve this.

x(2x+5) = 3 ..............(1)

2x²+5x = 3 ...............(2)

Now, solving equation (1), we get

x(2x+5) = 3 ⇒2x²+5x = 3, which is equation (2)

So, when we solve equation (1), we get equation (2) and vice-versa.

Hence, x(2x+5) = 3 and 2x²+5x = 3 are equivalent algebraic expression.

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Answer:

8/3

Step-by-step explanation:

Divide 8/3

Answer:

Option D: 8/3

Step-by-step explanation:

(2 x 3 + 2)/3 = 2 2/3

(6 + 2)/3 = 2 2/3

8/3 = 2 2/3

The slope of equation  y = -5/6 x + 4 is -5/6 and the slope-intercept form of -5/6x+4 is y = -5/6 x + 4

The slope of a function y = f(x) is given by a formula

slope = y2-y1 / x2- x1

where ( x1 , y1) and (x2, y2) are coordinates of any two points on the line of graph representing y = f(x)

Or we can simply use the slope-intercept form

y = mx+ c

where m is the slope of the given equation and c is the constant

so, in  the given equation y = -5/6 x + 4

slope of the equation is -5/6

Hence, The slope of equation  y = -5/6 x + 4 simply is -5/6 and the slope intercept form of -5/6x+4 is y = -5/6 x + 4

When you know the slope of the line to be investigated and the point given is also the y intercept, you can utilize the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula.

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Answer: t = 1.33333

Step-by-step explanation:

Answer: division property of inequality

Step-by-step explanation:

you would devide 3 by 4 which is 0.75 then add you varible. Thats 0.75t  that means that 0.75t  is less than 4

Among the given relations {(1,4),(2,5), (3,6), (4,7)} represents a function.

Given three options as under:

1)  {(1,4), (2,5), (3,6), (4,7)}

2)  {(1,4), (2,4), (3,5), (6,10)}

3) {(-3,9), (-2,4), (0,0), (1,1), (-3,8)}

We are required to choose the relation which represents a function.

Function is basically from a set X to a set Y assigns to each element of X exactly one element of Y.

Among the given options the relation which is a function is

{(1,4),(2,5), (3,6), (4,7)} because the other options have two values for one value of x or one value is giving two values of y which is opposite to the characteristics of a relation to be a function.

Hence among the given relations {(1,4),(2,5), (3,6), (4,7)} represents a function.

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The truth value of the conditional statement is false

How to determine the truth value of the conditional statement?

The conditional statement is given as

“If a number is greater than -500, then the number is greater than 500.”

The above conditional statement is false

This is because not all numbers greater than -500 are greater than 500

for example 450 is greater than -500, but less than 500 that is the number between -500 and 500 will not satisfy the above statement.

Hence, the truth value of the conditional statement is false

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Answer:

Mean:39

Mode:37

Median:37

Range:82-19=63

Answer:

c = -6

Step-by-step explanation:

add 9c to both sides to get 61 + 9c = 7

subtract 61 from both sides to get 9c = -54

divide by 9 to get c = -6

Answer: 115+85+60+x=360

x=100 degrees

Step-by-step explanation:

115+85+60+x=360==> 115, 85, 60, and x are all 4 angles in the quadrilateral

200+60+x=360

260+x=360

260-260+x=360-260

x=360-260

x=100 degrees

Answer:No this is not equivalent.

Answer:

No

Step-by-step explanation:

Both fractions have been simplified as much as possible and aren't the same. They are not equivalent for this reason.

I wasn't entirely sure how to explain this but I hope this helps!

Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A

The given parameters are:

Exam A

Score = 710

Mean = 700

Standard deviation = 25

Exam B

Mean = 200

Standard deviation = 50

The z-score is calculated as

z = (Score - Mean)/Standard deviation

For exam A, we have

z = (710 - 700)/25

z = 0.4

For exam B, we have

z = (Score - 200)/50

Substitute z = 0.4 in z = (Score - 200)/50

0.4 = (Score - 200)/50

This gives

Score - 200 = 20

Add 200 to both sides

Score = 220

Hence, Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A

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Answer: M(5,7)

Step-by-step explanation:

[tex]\displaystyle\\C(3,5)\ \ \ \ \ D(7,9)\ \ \ \ \ M(x_M,y_M)=?\\\\M(x_M,y_M)=(\frac{3+7}{2},\frac{9+5}{2})\\\\ M(x_M,y_M)=(\frac{10}{2},\frac{14}{2} )\\\\ M(x_M,y_M)=(5,7)[/tex]

Answer: A

Step-by-step explanation:

Angles on a straight line must add up to 180 so angle BCA is 180-132=48

Because the triangle BAC is an isosoles angle BCA and ABC must be the same so 48

We can now use the angle on a straight line rule to figure out angle DBA 180-48=132

We know that triangle DBA is an isosoles trianlge so and x and DAB must be the same and both be x, and we know that angles in a triangle add up to 180 so the equation can be written as:

180=2x+132

48=2x

x=24

Power is the result of multiplying same number for n number of times.  The value of the given expression when simplified is equal to 75.

Power is the result of multiplying same number for n number of times. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be simplified as shown below.

(5⁴ × 3³) / (5² × 3²)

= (625 × 27) / (25 × 9)

= 16,875 / 225

= 75

Hence, the value of the given expression when simplified is equal to 75.

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Answer: 17.9 meters

Step-by-step explanation:

400.8 meters perimeter,

182.5 meters length,

So,  Width= (400.8/2)-182.5

Width= 17.9 meters

Answer:

B

Step-by-step explanation:

The solutions to the given absolute value equations are given as follows:

A. t = -1, t = 1.4.

B.

The graph of item A is given at the end of the answer.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

For item a, we have that two possibilites, as follows:

The graph is given at the end of the answer(correct solutions dashed in blue).

For item b, following the same procedure, the solutions are:

The graph is also given at the end of the answer, with the -1 marked in blue. (you have to remove the marking from 1).

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Answer:

24.5 = 3.50 * 7

Step-by-step explanation:

I used multiplication.

Answer:

y=x+b

3.50=7x

Step-by-step explanation:

7 is how many apples sally bought

it is $3.50 for 7 apple so $3.50 is y

7 times the price for one apple is $3.50

which also means each apple is $0.50

NUSS is a device for propagating multigroup nuclear information covariances in pointwise ace-formatted nuclear information the use of stochastic sampling method.

Stochastic sampling (SS) method for quantifying nuclear facts uncertainties is finished with the resource of the use of the use of perturbed nuclear facts in recurring neutronics calculations and identifying the variance of output parameters due to the input nuclear facts uncertainties. In this work, an SS-based absolutely device, called NUSS is carried out which perturbs pointwise ACE-formatted nuclear facts the use of multigroup nuclear facts covariance. The use of pointwise ACE-formatted nuclear facts in NUSS can accommodate flexible multigroup covariance structures and allows for nuclear facts uncertainty propagation through the continuous/pointwise-energy delivery code MCNPX. Next, Light Water Reactor (LWR) pin mobileular models from the OECD/NEA UAM Phase-1 benchmark were analyzed. Results of pass section and uncertainties in interest of numerous nuclear facts covariance libraries are presented.

Therefore, NUSS is a device for propagating multigroup nuclear information covariances in pointwise ace-formatted nuclear information the use of stochastic sampling method.

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Answer: L

Step-by-step explanation:

The coordinates of point E is (-2, -1.5)

How to determine the coordinates of point E?

see in the file attached below

The given parameters are

C = (1, 6)

D = (-3, -4)

The ratio 3/4 can be represented as:

m : n = 3 : 1

So, the coordinate of point E is

E = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)

Evaluate

E = 1/(4) * (-8, -6)

This gives

E = (-2, -1.5)

Hence, the coordinates of point E is (-2, -1.5 )

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Answer:

Step-by-step explanation:

volume of the tank:

30cm*24cm*18cm

12960cm^3

rate=amount/time

time=amount/rate

time=12960cm^3/864cm^3/min

time=12960/864 min

time=15min

Answer:

3/8

Step-by-step explanation:

hope this works for you :)

Answer:

the answer is 3/8

Step-by-step explanation:

5/8 + 3/8 = 1

Unknown or unidentified numbers are denoted in mathematical equations by lowercase, italicized letters from the "late middle" of the alphabet. P, q, r, and s are the most prevalent.

Denumerable sets include the set Z. Denumerability is the property that even if a set may include an endless number of members, any element in the set may be represented by a list that implies its identity.

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The equation used is 50 = (2w + 5) × w which can be used to find its width, w.

According to the question we are Given,

Length of rectangle = 5 inches more than its width

Area of rectangle = 50sq. inches

Let width of rectangle = w

So, According to the question,

length = 2w + 5

Area of rectangle = Length × Breadth

50 = (2w + 5) × w

So, our required equation is 50 = (2w + 5) × w

The quantity of space occupied by a flat surface with a specific form is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that may fit within a rectangle called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular forms.

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