A video game store has 60 games to choose from, including 40 sports games. What is the ratio of sports games to video games?

Answer:

60 degrees.

Step-by-step explanation:

BC is parallel to the x axis (because B and C have the same y-coordinate).

Slope of AB is 3/√3 = √3

so the angle AB makes with the axis = angle it makes with BC

= arctan(√3)

= 60 degrees.

Answer:

14. 6 x \(10^{17}\)

15. 28.615 x \(10^{10}\)

16. I'm so sorry, I'm not sure!

17. 1.26 x \(10^{10}\)

18. 1.639 x \(10^{-8}\)

19. 2.025 x \(10^{17}\)

Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!

-Aphrodite

Step-by-step explanation:

Answer:

x- axis. co-ordinate

Step-by-step explanation:

The simplest form of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Both given expressions are not equivalent.

What is an expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given expression is 3x + 14 – x + \(1\frac{1}{2}\)

Now combine like terms:

= (3x - x) + (14 + \(1\frac{1}{2}\))

= 2x +  (14 + \(1\frac{1}{2}\))

Convert mixed fraction to improper fraction:

= 2x +  (14 + 3/2)

= 2x + 31/2

= 2x + \(15\frac{1}{2}\)

The equivalent expression of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Therefore, 3x + 14 – x + \(1\frac{1}{2}\) is not equivalent to 4x + \(1\frac{3}{4}\).

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Answer:

Harry would receive $10 more by babysitting than by doing yard work

Step-by-step explanation: If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50.

The random variable r has a mean μ = 10 and σ = 4. For the variable s, the μ = 7 and σ = 3. The mean of r-s will be obtained by arithmetic subtraction of the μ for r and a. The standard deviation isn't independent since it's obtained by square root of the variance of a distribution. The standard deviation will be obtained by obtained through the square root of the squared sum of σ.

μ (r-s) = μ(r) -μ(s)

μ (r-s) = 10 -7 = 3

σ (r) -σ(s) = √(σ (r))²+ (σ (s))²

σ (r) -σ(s) = √(4²+ 3²)

σ (r) -σ(s) = √(16+ 9)

σ (r) -σ(s) = √25 = 5

thus, the mean is 3 and the standard deviation is 5.

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Answer:

x^3-2x^2-28x-16 is the answer

Answer:

y = -1/2x + 2

The answer is: c = sqrt[(length of a)^2 + (length of b)^2]

The steps to apply the Pythagorean theorem to determine the distance between two points are as follows:

Draw a right triangle with the two points as the endpoints of the hypotenuse.

Label the length of one leg of the triangle as a and the length of the other leg as b.

Use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. In equation form: c^2 = a^2 + b^2.

Substitute the values of a and b into the equation and solve for c.

Take the square root of both sides to find the length of the hypotenuse, which is the distance between the two points.

Therefore, in this specific problem, we are given the vertices (b,c) and (a,c), and we know the lengths of a and b. We can draw a right triangle with one leg labeled as a and the other leg labeled as b. The hypotenuse is the distance between the two points and can be labeled as c. Therefore, applying the Pythagorean theorem, we get:

c^2 = a^2 + b^2

We can substitute the lengths of a and b into the equation and simplify:

c^2 = a^2 + b^2

c^2 = (length of a)^2 + (length of b)^2

Then we can take the square root of both sides to find c, which is the distance between the two points:

c = sqrt[(length of a)^2 + (length of b)^2]

So the answer is:

c = sqrt[(length of a)^2 + (length of b)^2]

Note that we don't need to use the value of c in this case because the problem only asks us to determine the power angle, which cannot be found using just the distance between the two points.

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Answer:

The measurement of x is 56 degrees.

Step-by-step explanation:

Below that angle is a straight line measuring 180 degrees, so if one part of that 180 is 124 you would take 124 from 180.

180-124=x

x=56

Hope this has helped have a great day.

Answer:

x = 56

Step-by-step explanation:

Sum of angles (linear pair) = 180

=> 124 + x = 180

=> x = 180 - 124

=> x = 56

Step-by-step explanation:

°c to °F = (°c × 9/5) + 32

= ( 37.2 × 9/5) + 32

= 66.96 + 32

= 98.96 °F

if this helped pls give brainliest

Answer:

BAC ~ EDF

Step-by-step explanation:

A represents D

B represents E

C represents F

Those exact letter are in the same order in both triangles

Answer:

-19g+5

Step-by-step explanation:

Group the like terms

Add all the g together which is equal to -19g the add the +

Answer=-19g+5

Answer:-9

Step-by-step explanation: Divide each term by -25 and simplify

Answer:

$1,489.88 (nearest cent)

Step-by-step explanation:

To calculate gross pay, multiply the number of hours worked by the pay per hour.

Warren worked 36.5 hours one week and 32 hours the week before.

Therefore, the total number of hours Warren worked was:

Multiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:

Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).

Answer:

$1489.875

Step-by-step explanation:

Warren's gross pay for 36.5 hours last week can be calculated as follows:

Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875

Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:

Gross pay for 32 hours = $21.75/hour * 32 hours = $696

Adding the gross pay for the two weeks, we get:

Gross pay for 2 weeks = $793.875 + $696 = $1489.875

Answer:

h: 4

LA: 80

SA: 112

Step-by-step explanation:

Solve for h, and then use the previous equations.

Answer:

That's should help

Step-by-step explanation:

\(x = - \frac{6 - 3y}{4} \)

\(y = \frac{6 + 4x}{3} \)

Answer:

correct

Step-by-step explanation:

New England should be proud of the town hall meeting form of government because it promotes civic engagement and ensures direct participation in decision-making processes.

The town hall meeting form of government is deeply rooted in the history and culture of New England. Christopher Collier, an esteemed historian, believes that this form of government holds significant value and should be a source of pride for the region.

At its core, the town hall meeting allows community members to come together in a direct and democratic setting to discuss and decide on local matters. It fosters civic engagement by providing a platform for individuals to voice their opinions, concerns, and ideas. The participatory nature of these meetings ensures that every citizen has the opportunity to actively contribute to the decision-making process.

Furthermore, the town hall meeting form of government promotes transparency and accountability. By gathering in a public forum, citizens can witness firsthand how decisions are made and hold their elected officials accountable for their actions. This open and inclusive process strengthens the bond between the government and the governed, creating a sense of shared responsibility and trust.

In addition, town hall meetings cultivate a strong sense of community and civic pride. These gatherings provide a space for residents to connect with one another, exchange information, and collaborate on local initiatives. By coming together as a community, New Englanders can collectively address challenges, celebrate achievements, and shape the future of their towns.

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Answer:

cost of 1 crate of lettuce = x

cost of 1 crate of cabbage = y

\(4x + 3y = 34.2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(1)\)

\(2x + 5y = 31.8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(2)\)

Multiplying eq. (2) by 2

\(4x + 10y = 63.6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(3)\)

(3)-(1)

\(7y = 29.4 \\ y = \frac{29.4}{7} \\ y = 4.2 \\ \)

Putting this in (2)

\(2x + 5(4.2) = 31.8 \\ 2x = 10.8 \\ x = 5.4\)

.'. Cost of 1 crate of lettuce= $5.40

Cost of 1 crate of cabbage= $4.20

Answer:

Let 1 crate of lettuce be X and 1 crate of cabbage be y.

Now from question,

4 crates of lettuce and 3 crates of cabbage costs 34.20$

i.e.4x+3y=34.20----(1)

Also,

2 crates of lettuce and 5 crates of cabbage costs 31.80$

i.e. 2x+5y=31.80----(2)

Multiplying eqn (2) by 2 then subtracting from (1), we get,

4x+3y - {2(2x+5y)}=34.20-(2×31.80)

or,4x-4x+3y-10y=34.20-63.60

or,-7y= -29.40

:.y=4.20

Putting value of y in eqn 1 we get,

4x=34.20-12.60

or,4x=21.60

or,X=21.60/4

:.X=5.40

Hence,Cost of each crate lettuce i.e.X=5.40$

and,each crate cabbage i.e y=4.20$

*Mark me brainliest "_"

The purpose of this test is to evaluate the effects of rotational acceleration on the semicircular ducts and dynamic equilibrium. This test is called Rotational Acceleration Test.

The purpose of the rotational acceleration test is to assess how the semicircular ducts and the body's dynamic equilibrium respond to rotational movements. The semicircular ducts are part of the vestibular system, which is responsible for detecting changes in head position and rotational movements.

During the test, the individual is subjected to controlled rotational acceleration, usually in a specially designed chair or device. The rotational acceleration induces a sense of spinning or movement, stimulating the semicircular ducts.

By observing the individual's responses, such as eye movements or changes in body posture, healthcare professionals can gather information about the functioning of the vestibular system and the body's ability to maintain balance.

This test is particularly useful in diagnosing disorders of the vestibular system, such as vestibular dysfunction, vertigo, or balance disorders. It helps healthcare providers determine the extent of the impairment and develop appropriate treatment plans or interventions to improve balance and reduce symptoms.

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Answer:

27

Step-by-step explanation:

To evaluate an expression we need to find the numerical value of the expression by substituting appropriate values for the variables and performing the indicated mathematical operations.

Given rational expression:

\(\dfrac{6x^2}{y^3}\)

To evaluate the given expression when x = 6 and y = 2, substitute x = 6 and y = 2 into the expression and solve.

\(\dfrac{6(6)^2}{(2)^3}\)

Following the order of operations, begin by evaluating the exponents first.

To square a number, we multiply it by itself.

\(\implies 6^2 = 6 \times 6 = 36\)

To cube a number, we multiply it by itself twice.

\(\implies 2^3 = 2 \times 2 \times 2 = 8\)

Therefore:

\(\dfrac{6(6)^2}{(2)^3}=\dfrac{6 \cdot 36}{8}\)

Multiply the numbers in the numerator:

\(\dfrac{216}{8}\)

Finally, divide 218 by 8:

\(\dfrac{216}{8}=27\)

Therefore, the evaluation of the given expression when x = 6 and y = 2 is 27.

\(\hrulefill\)

As one calculation:

\(\begin{aligned}x=6, y=2 \implies \dfrac{6x^2}{y^3}&=\dfrac{6(6)^2}{(2)^3}\\\\&=\dfrac{6 \cdot 36}{8}\\\\&=\dfrac{216}{8}\\\\&=27\end{aligned}\)

Answer:

4 Hot dogs packages and 5 hot dog buns packages.

Step-by-step explanation:

This question seems to be regarding the LCM or the least common multiple. Least common multiple is found by figuring out the first time when both numbers, in this case 10 and 8 have the multiple. You can do this by setting up a table with the multiples of each number.

8  | 16 | 24 | 32 | 40

10 | 20| 30 | 40

We can see that the LCM is 40 so we can see that we need 4 Hot Dog packets and 5 buns packets.

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, we have that:

The probability of one quote being chosen at least two times is given by:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351\)

\(P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321\)

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328\)

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

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Answer:

The slope of the line that passes through (10, 9) and (1, 1) will be:

Step-by-step explanation:

Given the points

The slope between (10, 9) and (1, 1) is given by

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(10,\:9\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)\)

\(m=\frac{1-9}{1-10}\)

\(m=\frac{8}{9}\)

Thus, the slope of the line that passes through (10, 9) and (1, 1) will be:

Answer:

Step-by-step explanation:

(x,y)→(-y,x)

E'(1,1)

C'(1,4)

D'(4,4)

When every length in the cylinder is decreased by 60%, the volume of the cylinder decreases by approximately 85.6%.

Let's assume the original diameter and height of the cylinder are both represented by "d". The original volume of the cylinder can be calculated as V = π * (d/2)^2 * d.

When every length in the cylinder is decreased by 60%, the new diameter and height become 0.4d (40% of the original value). The new volume of the cylinder can be calculated as V' = π * (0.4d/2)^2 * (0.4d).

To find the percent decrease in volume, we can calculate (V - V') / V * 100.

Substituting the values, we have:

Percent decrease in volume = [(V - V') / V] * 100

Percent decrease in volume = [(π * (d/2)^2 * d - π * (0.4d/2)^2 * (0.4d)) / (π * (d/2)^2 * d)] * 100

Simplifying further, we get:

Percent decrease in volume = [(1 - 0.4^3) / 1] * 100

Evaluating the expression, we find:

Percent decrease in volume ≈ 85.6%

Therefore, the volume of the cylinder decreases by approximately 85.6% when every length is decreased by 60%.

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