8
9
Hank pays $22.50 for five people to go 10-pin bowling.
How much does it cost for seven people to go
10-pin bowling?

Answer: The answer is A. 16.1%

Step-by-step explanation:

Answer:22.6

Step-by-step explanation:

Answer:

Is here a pic that goes with it?

Step-by-step explanation:

The next number in sequence is 29

What is sequence?

Sequence can be described as the arrangement of a set of number in an orderly manner.

From the question, the difference between each numbers increases. The difference between 4 and 7 is 3, the difference between 7 and 11 is 4.

Hence the next number in the sequence can be calculated as follows

22 + 7

= 29

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Answer:

your answer is 7 meters

I hope it's helps you ❤️

Answer:

y=mx+b m= rise/run b= y-intercept (0,b)

hope this helps

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

129 500     original price

selling price =   2 ( 129 500) - 9000 = 250 000

% change   Questions worded like this are often up for debate as to exactly answer the question

250 000 / 129 500 =  193 %      Selling price was 193% of original price

(250 000 - 129500)/ 129500 =   93 % INCREASE

If if g(x)=xsin^-1(x/4)+√(16-x^2): g'(2) is π/6 - (√3/3).

To find g'(2), we need to take the derivative of g(x) with respect to x and then evaluate it at x=2. We can use the sum rule, product rule, and chain rule to differentiate g(x).

g(x) = x sin⁻¹(x/4) + √(16 - x²)

g'(x) = sin⁻¹(x/4) + x(1/√(16 - x²))(1/4) + (-x/√(16 - x²))

To evaluate g'(2), we substitute x=2 into the derivative expression:

g'(2) = sin⁻¹(2/4) + 2(1/√(16 - 2²))(1/4) + (-2/√(16 - 2²))

g'(2) = sin⁻¹(1/2) + (1/2√3) - (2/√12)

g'(2) = π/6 + (√3/6) - (√3/2)

g'(2) = π/6 - (√3/3)

Therefore  g'(2) is π/6 - (√3/3).

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A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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Answer: all of them

Step-by-step explanation:

The solution of the system of equation 3x + y = 3, 5x - y = 15 is x = 9 / 4 and y = - 15 / 4.

System of equation can be solved using different method such as elimination method and substitution method.

Let's solve the system of equation by elimination method.

Therefore,

3x + y = 3

5x - y = 15

add the equations

8x = 18

divide both sides of the equation by 8

x = 18 / 8

x = 9 / 4

x = 2 1 / 4

Let's find y.

3x + y = 3

y = 3 - 3x

y = 3 - 3(9 / 4)

y = 3 - 27 / 4

y = 12 - 27/ 4

y = - 15 / 4

Therefore, the solution are x = 9 / 4 and y = - 15 / 4.

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The probability his luggage arrives NYC with him is 89%

To calculate the probability that Trey's luggage arrives in NYC with him, we need to consider both the cases where his flight leaves on time and when it is delayed. We can use the law of total probability to find the overall probability.

Let's call the event that Trey's flight leaves on time "A", and the event that his luggage arrives in NYC with him "B". The probability of both events happening can be calculated as follows:

P(B) = P(A) * P(B|A) + P(A') * P(B|A')

where A' represents the complement of event A, or the event that Trey's flight is delayed.

Substituting the given probabilities:

P(B) = 0.85 * 0.95 + 0.15 * 0.55 = 0.89

So, there is a 89% chance that Trey's luggage arrives in NYC with him.

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The balance in the account after 10 years is $15,384.45

From the question, we are to use the compound interest formula to compute the balance in the account

From the compound interest formula, we have that

A = P(1 + r/n)^nt

Where A is the amount

P is the principal

r is the interest rate

n is the number of times compounded per year

and t is the time.

From the given information,

P = $12,000

r = 5%= 0.05

n = 4

t = 10

Putting the parameters into the formula

A = P(1 + r/n)^nt

A = 12000(1 + 0.05/4)^(4×5)

A = 12000(1 + 0.0125)^20

A = $15,384.45

Hence, the balance is $15,384.45

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The actual difference between the twο temperatures is: 94 degrees F

Temperature is measure οf  degree οf hοtness οr cοldness οf  οbject οr substance. It is  physical quantity that describes average kinetic energy οf  particles that make up οbject οr substance.

Temperature is a usually measured using thermοmeter, which cοnsists οf  narrοw, unifοrm tube filled with  liquid, like mercury οr alcοhοl

Nο, Martin's calculatiοn is nοt cοrrect. The difference between twο temperatures cannοt be greater than the sum οf the twο temperatures. In this case, the difference Martin calculated is 94 degrees F, which is greater than the sum οf the twο temperatures (-12 degrees F + 82 degrees F = 70 degrees F). Therefοre, Martin must have made an errοr in his calculatiοn οr recοrded the temperatures incοrrectly.

The actual difference between the twο temperatures is:

82 degrees F - (-12 degrees F) = 94 degrees F

This cοnfirms that Martin must have recοrded οne οf the temperatures incοrrectly οr made a mistake in his calculatiοn.

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We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

i hop ....

i hope

ihope

solution

On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.03357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

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Sentence A: "The joke was so hilarious that the audience roared!" most accurately and vividly describes the action.

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Sentence A is the most accurate and vivid as it describes the audience's reaction in a lively and emotional way.

In this sentence, the verb "roared" is used to describe the reaction of the audience to the joke. Roaring is a strong and lively verb that conveys the idea that the audience was highly entertained and had a strong emotional reaction to the joke.

Sentence B: "The joke was so hilarious that the audience smirked!" is not vivid enough to describe the action as the audience reaction is not clearly defined. Smirking is usually a subtle expression that might be difficult to interpret.

Sentence C: "The joke was so hilarious that the audience smiled!" is also not vivid enough to describe the action as smiling is a common reaction to something funny and it doesn't clearly convey the level of audience's reaction.

Overall, Sentence A is the most accurate and vivid as it describes the audience's reaction in a lively and emotional way.

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Answer: 108 meters

Step-by-step explanation:

Area = length x width x height

A = 6 x 6 x 3

Area = 108m

Answer:

Step-by-step explanation:

None of the answers are correct.

34+5y

Answer:

Ax=6

Y=12

Therefore a=6, x=1, y=12

Answer:

{(\(\frac{6}{a}\),12)}

Step-by-step explanation:

\(\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.\)

\(5ax = 30\)

\(x = \frac{6}{a}\)

\(a(\frac{6}{a}) + y = 18\)

6 + y =18→y=12

\(4a(\frac{6}{a}) - 12 = 12\)

6 - 12 = 12 → 12 = 12 true  x=\(\frac{6}{a}\)  y=12

Answer:

8 and -2

Step-by-step explanation:

8 (-2) = -16

8 + (-2) = 6

The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

3\(\sqrt{5}\)

Answer:

-1x

Step-by-step explanation:

P

E

M

D

Add 5x+3x=8x

S-9x -1

Answer: -x

Step-by-step explanation:

The answer is 1190 bec I simplified 136/4 or 210/6

Step-by-step explanation:

Answer:

83 kilometres per hour =

51.574 miles per hour

It should be noted that congruent triangles simply mean the triangles that possess the same size and shape.

Your information is incomplete. Therefore, an overview of congruent triangles will be given. Congruent triangles imply that the corresponding sides and angles are equal.

In this case, two triangles are congruent if they've exactly the same three sides and exactly the same three angles. The three rules for congruent triangles include:

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Answer:

\(x = 0.25\)

Step-by-step explanation:

Given

\(f(x) = 8x - 2\\ g(x) = -8x + 2\)

Required

Determine their point of intersection

To do this, we simply do:

\(f(x) = g(x)\)

This gives:

\(8x - 2 = -8x + 2\)

Collect Like Terms

\(8x + 8x = 2 + 2\)

\(16x = 4\)

Solve for x

\(x = 4/16\)

\(x = 0.25\)

Hence:

Their point of intersection is at \(x = 0.25\)

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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