Billy, Kip, and Patrick earned a combined 14 points during their team's game. Billy earned 5 points and Kip earned 6 points. Which of the following equations can be used to determine how many points Patrick earned?

5 + 6 = 14 + y
6y + 5 = 14
5y + 6 = 14
5 + 6 + y = 14

Answer:

No. It is not proportional.

Answer: The product of 6,370*30 is 191,100

The length of the hypotenuse in this problem is given as follows:

h = 10.6 m.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The side lengths for this problem are given as follows:

7m and 8m.

Hence the hypotenuse is obtained as follows:

h² = 7² + 8²

\(h = \sqrt{7^2 + 8^2}\)

h = 10.6 m.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Answer:

She answered 90% correctly

Answer:

80%

Step-by-step explanation:

divide 32 by 40 to get 0.8 or 80%

Given:

The mean price of the car = μ = 22000

And the standard deviation = σ = 2000

We will find the probability that the price of the car is more than 26000

Convert the given value to the z-score using the following formula:

From the normal distribution curve, we will find P ( z > 2 )

So, the answer will be:

The most appropriate measure of variability to use in this case is the IQR (Interquartile Range) of 13.

The reason for this is that the data appears to be skewed towards the higher values, with more donations in the higher range (from 40 to 59 dollars) and fewer in the lower range (from 10 to 39 dollars).

Using the range (which is the difference between the highest and lowest values) would not accurately represent the variability of the data, as it would be heavily influenced by the outliers. On the other hand, the IQR, which is the range of the middle 50% of the data, is a more robust measure of variability that is not influenced by outliers. Therefore, the IQR of 13 is the most appropriate measure of variability to use in this case.

Learn more about measure of variability at https://brainly.com/question/14544205

#SPJ1

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

3x+18

Step-by-step explanation:

since 3 is outside the bracket you need to multiply 3 by both x and 6. so 3 multiply x is 3x and 3 multiply 6 is 18, hence 3x+18

Answer:

2.22

Step-by-step explanation:

Answer:

the answer is 2.22

Step-by-step explanation:

We are given the slope m=-1 and the point (0,-2)

The point-slope form of the line is:

y - k = m(x - h)

Substituting:

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

Operating:

y +2 = -1(x - 0)

This was the point-slope form of the line

Rewriting in slope-intercept forn:

y +2 = -x

Subtracting 2:

y = -x - 2

That is the slope-intercept form of the line

Answer:  123

Step-by-step explanation:

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

Learn more about present value here:

brainly.com/question/17322936s

#SPJ1

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.

It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.

First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.

On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.

Read more on reflection;

https://brainly.com/question/24136970

#SPJ1

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

Learn more on surface area of cylinder here;

https://brainly.com/question/27440983

#SPJ1

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Answer:

7 : 3

Step-by-step explanation:

Divide both numbers by 6

Answer:

Step-by-step explanation:

42:18=42/18=7/3=7:3

I hope it help you

this is so easy

Answer:  4, 14

Step-by-step explanation:

Bring everything over to other side that is not in the absolute value:

3 |x - 9| + 5 = 20                  >Subtract 5 from both sides

3 |x - 9| = 15                         >Divide both sides by 3

|x - 9| = 5                              >Create a positive and negative version to

                                                 drop the absolute value

x - 9 = 5                        x - 9 = -5

x= 14                                    x = 4

Answer:

If x is the length of the square tomato patch, then the width of the tomato patch is also x, since it is a square.

According to the problem, the length of the rectangular vegetable garden must exceed three times the length of the tomato patch by 2 feet, so the length of the garden is:

3x + 2

The width of the rectangular vegetable garden must exceed the width of the tomato patch by 5 feet, so the width of the garden is:

x + 5

To find the area of the garden, we multiply its length by its width:

Area of garden = length x width

Area of garden = (3x + 2)(x + 5)

To find the area of the tomato patch, we note that it is a square with side length x, so its area is:

Area of tomato patch = x²

Therefore, the area of the vegetable garden that is not taken up by the tomato patch is:

(3x + 2)(x + 5) - x²

And the total area of the vegetable garden, including the tomato patch, is:

x² + (3x + 2)(x + 5)

Simplifying:

x² + (3x² + 17x + 10)

4x² + 17x + 10

So the total area of the garden is 4x² + 17x + 10 square feet.

Answer:

P(A∩B) = 0

P(A) = 0.1667

P(B) = 0.8333

=================================================

Explanation:

The events

are mutually exclusive. There isn't any overlap. This is because event B involves "at least 2 rolls", meaning we cannot get 5 on the first roll. Either event A happens, or B does, but not both at the same time.

This allows us to say P(A∩B) = 0

In a venn diagram, the overlapped region between circles A and B would have probability 0 marked inside.

-----------------------

P(A) = 1/6 since there is exactly one side labeled "5" out of 6 sides total. This converts to the approximate decimal form 1/6 = 0.1667 when rounding to four decimal places. The 6's go on forever, but of course we have to round at some point.

------------------------

We found that P(A) = 1/6. The complement to this is 1-(1/6) = 5/6, which is the probability of rolling anything but a "5". This fraction represents the scenario "at least 2 rolls are needed for the 1st '5' to show up" since we forced the first roll to be anything but 5.

Put another way, we have two options:

The two probabilities 1/6 and 5/6 add to 6/6, aka 1, to represent 100% of all possible cases. This means P(A)+P(B) = 1 for this scenario.

The fraction 5/6 converts to the approximate decimal form of 5/6 = 0.8333; use a calculator or long division to determine this value.

Main Answer: s1=42 mi/hr.

                       s2=30mi/hr.

Concept and definitions should be there:

Just as distance and displacement have distinctly different meanings (despite their similarities), so do speed and velocity. Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. Contrast this to a slow-moving object that has a low speed; it covers a relatively small amount of distance in the same amount of time. An object with no movement at all has a zero speed.

Formula:

s = {d}/{t}

s=speed

d=distance traveled

t=time elapsed

Given data:

one car travels 189 miles on the same time that a second car travels 135 miles.

Solving part:

Let t be the amount of time the cars are traveling

s1=189/t and s2 = 135/t

We are told:

s1=s2+12

That is

189/t=135/t+12

Multiple t on both sides

⇒189 = 135+12t

⇒12t = 189-135

⇒12t = 54

⇒t = 4.5

s1 = 189/4.5

s1 = 42

s2 = 135/4.5

s2=30

Final Answer:s1=42 mi/hr.

                      s2=30mi/hr.

To learn about more about the  speed visit:brainly.com/question/3328179  #SPJ9.

Answer:

25

Step-by-step explanation:

range = largest value - smallest value (123-25)

The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

What in mathematics is a quadrilateral?

A quadrilateral, a two-dimensional shape, is made up of four sides, four vertices, and four angles. The most prevalent shapes are concave and convex. Also included in the list of convex quadrilateral subgroups are trapezoids, parallelograms, rectangles, rhombuses, and squares.

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

Learn more about quadrilateral

brainly.com/question/29934440

#SPJ1

Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

Answer:

I think A but I not sure

Step-by-step explanation:

Answer:

2x > x + 8

x > 8

Step-by-step explanation:

(Twice a number)   (is more than)   (the sum of that number and 8)

        2x                          >                                   x + 8

2x > x + 8

Subtract x from both sides

x > 8

Answer:

All Real x (x not = 9).

Step-by-step explanation:

When x = 9,  f(x) =  9/0 which is undefined.

So the Domain is All Real x, x not = 9.

Answer:

Find the domain by finding where the expression is defined.

Interval Notation: (− ∞,0)∪(0,∞)

Set-Builder Notation:{x|x≠0}

Step-by-step explanation:

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

25:64

Step-by-step explanation:

surface : 4×pi×R^2

R1 = 5x

R2 =8x

4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64