Jill can run 20 miles in
three hours at a steady
rate. How many minutes
will it take her to run
five miles?

Answer:

Step-by-step explanation:

x=1/2=2/4

y=5/4

y=2.5x

10/2.5=4

so x=4

Answer:

$98.28

Step-by-step explanation:

35% of $140=49

140-49=91

8% of 91=7.28

91+7.28= 98.28

Answer:

cool

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

y=-1/4 x -3

Answer:

$828

Step-by-step explanation:

less than means to subtract

$889 - $61 = $828

A and B are not independent since the result of one toss affects the second toss. Specifically, if the first toss result is a head (A), then the second toss will be more likely to result in a head (B).

A and B are conditionally independent given C since the probability of getting head(A) for the first toss does not depend on the type of coin selected (C).

P(A|C) = 1/2, P(B|C) = 1/2, P(A∩B|C) = 1/4, P(A) = 1/2, P(B) = 3/4, and P(A∩B) = 1/4. Therefore, given the information that a regular coin has been selected (C), the probability of A and B occurring independently is 1/4. This suggests that A and B are conditionally independent given C.

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Answer:

5500 is correct Answer.

Please mark me as brainlist answer.

The first graph shows a function whose inverse is also a function. Therefore, the correct option is option A.

The graphical representation of the inverse of a function shows the function and the inverse of the function, which are both plotted over the line y = x. This graph's line traverses the origin as well as has a slope value of 1. You can write it down as y = f -1 (x), which is the same as x = f (y). The first graph shows a function whose inverse is also a function.

Therefore, the correct option is option A.

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Answer:

Step-by-step explanation:

answer (A)  took the test

A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."

Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.

Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.

We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."

This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.

A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.

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Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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The given statement about the triangles is true.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We are given that;

The statement

Now,
Two right triangles are similar if the acute angles of one triangle are congruent to the acute angles of the other triangle. This is because by the Angle-Angle (AA) similarity criterion, two triangles are similar if two pairs of corresponding angles are congruent. In a right triangle, one angle is always 90 degrees, so if the other two acute angles are congruent, then the triangles are similar.

Therefore, by the congruent triangles the answer will be true.

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Answer:

0.595

Step-by-step explanation:

I multiplied 1.7 by 35 and moved the decimal.

The height of the isosceles triangle OPQ is given as follows:

2.41.

An isosceles triangle is a triangle that has two equal side lengths, hence it also has two equal angle measures.

The top angle is of 45º, while the sum of the internal angles of the triangle is of 180º, hence the base angles are obtained as follows:

2x + 45 = 180.

2x = 135

x = 135/2

x = 67.5º.

Then the height is obtained considering a right triangle, in which the height is opposite to an angle of 67.5º, while the adjacent side has length of 1, which is half the base.

Applying the tangent of the angle of 67.5º, the height is obtained as follows:

tan(67.5º) = h/1

h = tan(67.5º)

h = 2.41.

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The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

4/3 × (4 5/6 - 1/2) is greater.

Step-by-step explanation:

What is inside the parenthesis is the same in both expressions. So what makes them different is multiplying by 3/4 or by 4/3.

Multiplying by 3/4 will make the value smaller. It is essentially "a shrink" multiplier.

On the other hand, 4/3 is bigger than one. If you times something by 1 it stays the same. If you multiply by something greater than 1 the answer will be bigger than the starting number.

Since these are actual numbers, we can just do it.

3/4(4 5/6 - 1/2)

= 3/4(4 5/6 - 3/6)

= 3/4(4 2/6)

= 3/4(4 1/3)

= 3/4(13/3)

= 13/4

= 3.25

4/3(4 5/6 - 1/2)

= 4/3(4 5/6 - 3/6)

= 4/3(4 2/6)

= 4/3(4 1/3)

= 4/3(13/3)

= 52/9

= 5.7777...

Reasoning it out definitely seems like less work!

The additional reason will be JK/PQ = KL/QR.

Option C is correct.

Given that are two triangles, ΔJKL and ΔPQR, where ∠K ≅ ∠Q, we need to determine a reason to show ΔJKL and ΔPQR are similar,

So, we know that the similar triangles have congruent corresponding angles and corresponding sides are in equal ratio,

So, from the options if we take JK/PQ = KL/QR we can prove that the triangles are similar by SAS rule.

Hence the option C is correct.

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The midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.

Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:

D = (B + C) / 2

E = (A + C) / 2

F = (A + B) / 2

To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:

1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)

Expanding the equation further:

1/3(a + b + c) = 1/3(3F - 2D - E + b + c)

= (F - (2/3)D - (1/3)E) + (1/3)(b + c)

Therefore, the point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

Substituting the midpoints:

P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)

= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)

= (b + c - B - C) / 2 + (1/3)(b + c)

Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

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Answer:

12i

Step-by-step explanation:

sqrt(-1) = i, sqrt(144) = 12

The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

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Mary's monthly payments will be approximately $117.50.

The total instalment price is the price of the furniture plus the interest charged. Since Mary made a down payment of 15%, the amount that is subject to interest is 85% of the total price. Therefore:

Total price = (100% / 85%) * $750 = $882.35

The interest charged is 6% of the total price over the 8-month payment period. Therefore:

Interest charged = 6% * $882.35 * (8 / 12) = $35.29

The total installment price is the sum of the total price and the interest charged:

Total installment price = $882.35 + $35.29 = $917.64

To find the monthly payments, we can use the formula for the present value of an annuity:

Payment = \(\mathrm{PV \times (r / (1 - (1 + r)^{(-n)}))}\)

where PV is the present value (total installment price), r is the interest rate per month (6% / 12 = 0.005), and n is the number of payments (8).

Substituting the values:

Payment = $917.64 × (0.005 / \((1 - (1 + 0.005)^{(-8)}\) ≈ $117.50

Therefore, Mary's monthly payments will be approximately $117.50.

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Answer:

-5x - 12

Step-by-step explanation:

-5(x + 4) + 8

-5x - 20 + 8

-5x - 12

The true statement about the equation that shows a number multiplied by 6. n x 6 is C. It is a multiple of 6.

A multiple in mathematics is the product of any number and an integer. In other words, for the quantities a and b, b is a multiple of an if b = na for some integer n known as the multiplier. If an is greater than zero, this means that b/a is an integer.

A composite number is one that can be formed by multiplying two smaller positive integers. It is a positive integer with at least one divisor other than 1 and itself.

A prime number is a natural number greater than one that cannot be calculated as the product of two smaller natural numbers. A composite number is a natural number greater than one that is not prime. 5 is prime, for example, because the only ways to write it as a product, 1 5 or 5 1, involve 5 itself.

In this case, the value will be a multiple of C. Therefore, the correct option is C.

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Complete questions

The equation shows a number multiplied by 6. n x 6

Which of these is true about the product?

It is always a composite number.

It is always a prime number.

It is a multiple of 6.

It is a factor of 6.

Answer:

4/5

Step-by-step explanation:

Answer:

\(\Longrightarrow: \boxed{\sf{81x+18y-54}}\)

Step-by-step explanation:

Use the distributive property.

\(\Longrightarrow: \sf{9*9x+9*2y+9(-6)}\)

Multiply.

Solve.

9*9x=81x

2y+9(-6)

2y*9=18y

9*6=54

Rewrite the expression down.

\(\Longrightarrow: \boxed{\sf{81x+18y-54}}\)

I hope this helps! Let me know if you have any questions.

Answer:

8 and 16

Step-by-step explanation:

16 + 8 = 24

Answer:

a: equation is x +2x = 24 here x is the variable used for age of Bob's sister thrn Bob's age is represented by 2x.

b: x + 2x= 24

3x= 24

x = 24/3

x= 8

So Bob's sister is 8 years old and Bob is 2x = 2× 8 = 16 years old.

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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Answer:

4.242;

$500.276 ; $46.724

Step-by-step explanation:

Given the regression equation :

value = -123.298 + 4.242 revenue

y = - 123.298 + 4.242x

y = team value ; x = Revenue

(a) What is the slope of this line?

From ;

y = mx + c

Where ; m = slope

Comparing the equation with, the model equation ;

mx = 4.242x ; Hence, slope, m = 4.242

(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.

Predicted value of hornets based on their revenue :

Revenue = $147,000,000

y = - 123.298 + 4.242(147)

y = - 123.298 + 623.574

y = 500.276

Predicted value is about $500.276 million.

What is the error in this prediction?:

Error = Actual - predicted value

Error = 547 - 500.276 = $46.724 million