(HURRY) Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win? Which equation can be used to solve the problem?

Answer:

x = -1, y = 2

Step-by-step explanation:

plug the first equation into the second to get: 4x-20x=16

simplify: -16x=16

therefore, x = -1, and y = 2

Volume of cylinder = πr²h, where r is the radius of the cylinder and h is the height of the cylinder. The height of the cylinder is approximately 795.77 cm.

We are given the radius of a cylinder as 10 cm and the volume of a cylinder as 0.25 m³.

We need to determine the height of the cylinder. Let us first convert the volume of the cylinder to cm³.Volume of cylinder = 0.25 m³Let's convert m³ to cm³.1 m = 100 cm⇒ 1 m³ = 100 cm × 100 cm × 100 cm = 10⁶ cm³⇒ 0.25 m³ = 0.25 × 10⁶ cm³= 250000 cm³

Now, we use the formula to find the volume of the cylinder which is given by: Volume of cylinder = πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

So, substituting the given values, we have:250000 cm³ = π × (10 cm)² × h. Simplifying this, we get:250000 cm³ = 100π cm² × h

Dividing by 100π on both sides, we get:h = 250000 cm³ / (100π cm²)= 2500 / π cm = 795.77 cm (approx)

Therefore, the height of the cylinder is approximately 795.77 cm.

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The answer is 6.6 feet above the ground

Step-by-step explanation: :)

Answer:1/2

Step-by-step explanation:

Answer:

it rise over run so put 2y on graph count down 4 and move right 1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

- 12 ÷ - 3 = - 48 ÷ - 12 = - 192 ÷ - 48 = 4

this indicates the sequence is geometric with nth term

\(a_{n}\) = a₁ \(r^{n-1}\)

where a₁ is the first term and r the common ratio

here a₁ = - 3 and r = 4 , then

a₈ = - 3 × \(4^{7}\) = - 3 × 16,384 = - 49,152

Answer:

40°

X=11

I can't give you a very good explanation because I'm

only a freshman lol, I only studied so far in this stuff so I think ill stick to questions like this that give me side lengths and require an angle.

Anyways, hope this helped!

Answer:

lol this is diffuclt.

Step-by-step explanation:

In order to pay for the sweets, Zachary intends to take $0.30 from each guest that attends the celebration. To pay for the total cost of the sweets, 4 guests are required to attend the party.

We suggest 8 ounces of sweets per visitor when utilizing ounces. A 5 pound bag of candy will thus be enough to satisfy 10 people. The candy bar may have been distributed evenly in the following manner. Since there are four individuals, split each according to who will receive. About half a pound of sweets is given to each visitor. Therefore, you should buy 50 pounds of sweets at the very least if 100 people are expected.

Setting up the confectionery should minimize guest contact with it for hygienic reasons. Tongs and candy scoops in your theme-coordinating color should be provided for bulk candies. Since you don't want your guests to consume too much sugar, smaller serving utensils are preferred.

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Answer:

26 : 63

Step-by-step explanation:

Answer:

26 over 63

i think i hope

Step-by-step explanation:

The pendulum reaches a height of approximately 9.4 inches above the lowest position at the end of its swing.

To calculate the height, we can use the formula for the arc length of a pendulum:

s = L * θ

Where:

s is the arc length,

L is the length of the pendulum, and

θ is the angle of swing in radians.

First, let's convert the angle from degrees to radians. We know that π radians is equal to 180 degrees, so we can use the following conversion:

θ (in radians) = θ (in degrees) * (π / 180)

Given that the angle of swing is 30 degrees, we can calculate θ:

θ = 30 * (π / 180) ≈ 0.5236 radians

Now, we can substitute the values into the formula:

s = 36 * 0.5236 ≈ 18.85 inches

However, this arc length represents the total distance traveled by the pendulum, both upwards and downwards. To find the height above the lowest position, we need to consider only the upward distance. Since the pendulum swings symmetrically, we can divide the arc length by 2:

height = s / 2 ≈ 18.85 / 2 ≈ 9.43 inches

Rounding to the nearest tenth of an inch, the height above the lowest position is approximately 9.4 inches.

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Answer:

2 hrs and 32 mins

Step-by-step explanation:

Step 1. Because Inez worked more we are going to start by subtracting the the minutes. 23-51= -28.

Step 2. Now we move on to the hours. 7-4= 3. Know we know that the hour time is going to be three. But wait!

Step 3. Because we can't have negative numbers, we need to subtract some more. 60-28= 32. Now I know that my minutes will be 32.

Step 4. But because we used a negative number we have to subtract another hour from our time.

Answer: 2 hrs and 32 mins

Hope this helps!

Answer:

The square root of 30 is a decimal 5.477...

Step-by-step explanation:

The square root of 30 = 5.477 rounded up is 5.5

Answer:

x = ±4 (x = 4 and x = -4)

Step-by-step explanation:

4x²-16 = x²+32

3x²-16 = 32

3x² = 48

x² = 16

x = ±4

Therefore, x = 4 and x = -4

a) The probability that a randomly selected passenger car gets more than 36 mpg is 0.3659. b) The probability that the average mpg of two randomly selected passenger cars is more than 36 mpg is 0.3147. c) The probability that both randomly selected passenger cars get more than 36 mpg is approximately 0.0990.

a. To find the probability that a randomly selected passenger car gets more than 36 mpg, we need to calculate the area under the normal distribution curve to the right of 36.

First, we need to calculate the z-score using the formula:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

In this case, x = 36, μ = 34.8, and σ = 3.5.

z = (36 - 34.8) / 3.5 = 0.3429

Using a standard normal distribution table or a calculator, we can find the probability associated with the z-score 0.3429. Let's assume this probability is denoted as P(Z > 0.3429).

Now, we can calculate the probability using the complement rule:

P(X > 36) = 1 - P(Z ≤ 0.3429)

Therefore, the probability that a randomly selected passenger car gets more than 36 mpg is:

P(X > 36) = 1 - P(Z ≤ 0.3429) ≈ 1 - 0.6341 ≈ 0.3659

b. To find the probability that the average mpg of two randomly selected passenger cars is more than 36 mpg, we can use the Central Limit Theorem.

The distribution of the sample mean follows a normal distribution with a mean equal to the population mean (μ) and a standard deviation equal to the population standard deviation (σ) divided by the square root of the sample size (n).

In this case, n = 2, μ = 34.8, and σ = 3.5.

The standard deviation of the sample mean is:

σ / √(n) = 3.5 / √(2)

To find the probability that the average mpg is more than 36, we need to calculate the z-score using the formula:

z = (x - μ) / (σ / √(n))

In this case, x = 36, μ = 34.8, σ = 3.5, and n = 2.

Therefore, the probability that the average mpg of two randomly selected passenger cars is more than 36 mpg is:

P(Average mpg > 36) = P(Z > 0.4851) ≈ 0.3147

c. If two passenger cars are randomly selected, and we want to find the probability that both cars get more than 36 mpg, we can assume that the mpg ratings of the cars are independent.

The probability of both cars getting more than 36 mpg is equal to the product of the probabilities of each car individually getting more than 36 mpg.

Using the z-score and probability calculated in part (b), we can calculate the probability for one car. Let's assume this probability is denoted as P(X > 36).

Then, the probability of both cars getting more than 36 mpg is:

P(both cars > 36) = P(X > 36) * P(X > 36)

Using the probability found in part (b):

P(both cars > 36) ≈ 0.3147 * 0.3147 ≈ 0.0990

Therefore, the probability that both randomly selected passenger cars get more than 36 mpg is approximately 0.0990.

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Answer:

$120

Step-by-step explanation:

According to the information in the statement and taking into account that the price for renting the limo is fixed, you can say that the cost of renting the limo for 12 people is equal to the cost of renting it for ten. Then, the cost for 12 people is 12 for the cost per person which is equal to 10 for the cost per person and you can express it as follow:

x is the cost per person when the limo is rented by 10 people.

12*(x-2)=10*x

You can solve for x:

12x-24=10x

12x-10x=24

2x=24

x=24/2

x=12

Now that you have the cost per person when the limo is rented by 10 people, you can multiply this value for 10 to find the cost of renting the limo for the evening:

12*10=120

The answer is that the limo cost $120 for the evening.

The type of analysis described in the statement is ratio analysis.

Ratio analysis is a tool used to evaluate the financial performance of a company by comparing different financial ratios over time or between companies. It involves calculating different ratios such as liquidity ratios, profitability ratios, and solvency ratios and comparing them across different periods to identify trends or patterns in the data. The ratio analysis formula mentioned in the statement is used to calculate the percentage change in a ratio between two periods, with the base period amount serving as the denominator.

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9514 1404 393

Answer:

  B.  y < -x +1

Step-by-step explanation:

The boundary line has a y-intercept of +1, eliminating choices A and C.

The boundary line has a negative slope, eliminating choices C and D.

The only viable choice is B: y < -x +1.

Answer:

$445.5 = total cost

Step-by-step explanation:

Perimeter = 2l + 2w

Perrimeter = 2(30ft) + 2(25ft)

Perimeter = 60ft + 50ft

Perimeter = 110ft

$4.05 • 110ft = total cost

$445.5 = total cost

Answer:

24

Step-by-step explanation:

Okay, let's solve this step-by-step:

1) We are given: a = -8, b = 2, c = 7, d = 11

2) We are asked to solve the matrix equation: [[x + y, z], [z - x, w - y]] = [[a, b], [c, d]]

3) Matching up the elements in the matrices:

x + y = a = -8 (1)

z = b = 2 (2)

z - x = c = 7 (3)

w - y = d = 11 (4)

4) Solving the equations:

From (1): x + y = -8 => x = -8 - y

Substitute in (3): z - (-8 - y) = 7 => z - (-8) = 7 + y => z = 15 + y

Substitute (2) into the above: 2 = 15 + y => y = 13

Substitute y = 13 into (1): -8 - 13 = -21 = x

Substitute x = -21 and y = 13 into (4): w - 13 = 11 => w = 11 + 13 = 24

Therefore, the values are:

x = -21

y = 13

z = 15

w = 24

So the final value of w is:

w = 24

Answer:

Open circle at 3 going to the right.

Step-by-step explanation:

Let’s look at this.

first, let’s simplify the inequality. 2x +3-3>9-3

2x>6

x>3

since this is just a greater than or less than, it will be an open circle.

now that we have established that, we can see that x is BIGGER than 3. In that case, it will be an open circle at 3 going to the right.

The area of the given square pyramid is:

total area = 1,100 inches squared.

On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.

To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

The base is a square of 22 in by 22 in, then the area of the base is:

B = (22in)*(22 in)  = 484 in^2

For each triangle, the area will be:

A = (base side)*(height)/2

A = (22in)*(14in)/2 = 154 in^2

And we have 4 of these triangles, then the total area of the pyramid will be:

total area = B + 4*A = 484in^2 + 4*(154 in^2) = 1,100 in^2

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Answer:

The diver was 34 feet below sea level

Answer:

x = 1, y = 4, or x = -2, y = 1

Step-by-step explanation:

y = -x^2 + 5

-x + y = 3

Use substitution to solve for the equation

-x + (-x^2 + 5) = 3

-x^2 - x + 5 = 3 (simplifying)

-x^2 -x  + 2 = 0 (simplifying)

(-x + 1)(x+2) = 0 (factoring)

-x + 1 = 0 or x + 2 = 0

x = 1, or x = -2

-x + y = 3

-(1) + y = 3, or -(-2) + y = 3

y = 4, or y =  1

just choose any one...

x = 1, y = 4

or x = -2, y = 1

(they both work)

In this scenario, the population consists of the multiple choices provided in the instructions. These choices represent the various categories or options that the respondents can select when expressing their beliefs about wearing face masks in public as an important public health measure.

The researcher plans to poll a random sample of 2,000 adults from this population in order to gather data and test the null hypothesis against the alternative hypothesis.

By examining the responses of this sample, the researcher aims to make inferences about the larger population and draw conclusions regarding the proportion of people who believe in the importance of wearing face masks in public.

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Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation: