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The greatest common factor of 28, 48, and 64 is, 4

We have to given that,

To find the greatest common factor of 28, 48, and 64

Now, We can find prime factor all of the numbers.

Then, collect the factors which appear in all three lists:

28 = 2 x 2 x 7

48 = 2 x 2 x 2 x 2 x 3

64 = 2 x 2 x 2 x 2 x 2 x 2

Here, The only factor which appears in all lists is 2.

It appears twice in the first number,

So, the greatest common factor of 28, 48, and 64 is 2 x 2  = 4

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Answer:

9x2 + 14x + 2

Step-by-step explanation:

Combine like terms

(9x2 + 6x + 9) + (8x −7)

9x2 + 14x + 2

Final answer:

To find the rate of balls hit to times at bat, divide 100 hits by 250 at bats, simplifying the fraction by dividing both numerator and denominator by 50, resulting in a simplified fraction of 2/5.

Explanation:

The rate of balls hit to times at bat can be found by dividing the number of hits by the number of times at bat. In this case, the baseball player hit the ball 100 times out of 250 times at bat.

To find the simplified fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 50:

100 ÷ 50 = 2 and 250 ÷ 50 = 5.

Thus, the simplified fraction of the rate of balls hit to times at bat is 2/5.

Answer:

516

Step-by-step explanation:

To calculate the unit price for each coffee package, you divide the total cost by the number of ounces. The 11.3-ounce package has a unit price of about $0.255 per ounce, and the 27.8-ounce package has a unit price of about $0.233 per ounce. The 27.8-ounce package is the better buy with a lower unit price.

To find the unit price for each size of coffee package, you divide the cost by the number of ounces.

For the 11.3-ounce package:

For the 27.8-ounce package:

Comparing the unit prices, the 27.8-ounce package is the better buy based on the lower unit price.

To find the unit price, divide the cost by the number of ounces. The 27.8-ounce package is the better buy based on a lower unit price.

To find the unit price for each size of the coffee, we divide the cost by the number of ounces. The unit price of the 11.3-ounce package is $2.88 divided by 11.3, which is approximately $0.255.

The unit price of the 27.8-ounce package is $6.48 divided by 27.8, which is approximately $0.233.

Based on the unit price, the 27.8-ounce package is the better buy as it has a lower unit price than the 11.3-ounce package.

Using the line of best fit, it is found that a fair price for the house is of $176,280.

It states that the fair price for a house of x square feet, in thousands of dollars, is given by:

y = 0.074x + 50.48.

In this problem, we have a house of 1700 ft^2, hence the fair price in thousands of dollars is given by:

y = 0.074(1700) + 50.48 = 176.28.

Which is a fair price of $176,280.

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Answer:199,000

Step-by-step explanation:

Answer-

The D plot represents the logarithmic function.

Solution-

1st plot represents the rectangular hyperbola (with vertical asymptote at x=3 and horizontal asymptotes at y=0),

[tex]f(x) =\frac{1}{x-3}[/tex]

2nd plot represents the straight line (passing through origin and slope 1/5),

[tex]f(x)=\frac{x}{5}[/tex]

3rd plot represents the parabola (vertex at 3, 0),

[tex]f(x)=\frac{1}{c} (x-3)^{2}[/tex]  (where c is a constant)

4th plot represents the logarithmic curve,

[tex]f(x)=c\log x[/tex]              (where c is a constant)

∴ The 4th graph is a graph of a logarithmic function.

Final answer:

The solution to the trigonometric equation 2 sin(θ) − 2 = 0 on the interval 0 ≤ θ < 2π is θ = π/2.

Explanation:

The given trigonometric equation is 2 sin(θ) − 2 = 0. To solve this equation, we can isolate the sine function by adding 2 to both sides, resulting in 2 sin(θ) = 2. Then, dividing both sides by 2 gives us sin(θ) = 1. Since we are looking for solutions on the interval 0 ≤ θ < 2π, we know that the sine function is equal to 1 at π/2. Therefore, the solution to the equation is θ = π/2.

Answer:

c,d,e

Step-by-step explanation:

Final answer:

Leon should have simplified the expression inside the parentheses before adding -38 and 64.

Explanation:

Leon evaluated the expression (–4a – 6) + a2 for a = 8.

Substituting a = 8 into the expression, we get (-4(8) - 6) + 82.

Simplifying the expression, we have (-32 - 6) + 64.

Combining like terms, we get -38 + 64.

Finally, adding -38 and 64 gives us 26.

Final answer:

The wet surface area of the boat is approximately 69.7ft^2.

Explanation:

The drag force on a boat varies jointly with the wet surface area and the square of the speed of the boat. This can be represented by the equation:

F = k · A · s^2

where F is the drag force, A is the wet surface area, s is the speed, and k is a constant of variation.

To find the wet surface area of a boat traveling at 7.5mph and experiencing a drag force of 135N, we can set up the following proportion:

(98N) ÷ (50ft^2) = (135N) ÷ (x ft^2)

Cross-multiplying and solving for x, we find that the wet surface area of the boat is approximately 69.7ft^2.

Answer:

a+2/2a

Step-by-step explanation: this is the correct answer

The number of movies for which the cost of Carl's Cable Company is less than the cost of Teleview is about 13.

The relation between two unequal expressions is defined as inequality.

Given, Carl's Cable Company charges $55 for monthly service and $4 for each movie.

Let the number of movies be x, then the total charge for Carl's Cable Company is:
Carl's Cable =  55 + 4x

The cost of Teleview Cable Company is $110.

Therefore, the cost of Carl's Cable Company is less than the cost of Teleview if:
55 +4x < 110

4x < 110 - 55

4x < 55

x < 55/4

x < 13.75

Hence, the number of movies for which the cost of Carl's Cable Company is less than the cost of Teleview is about 13.

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Final answer:

Carl's Cable Company is cheaper than Teleview Cable Company when the number of pay-per-view movies watched is less than 14. As we can't watch a fraction of a movie, Carl's Cable is less expensive for up to 13 movies.

Explanation:

To determine for what number of movies is the cost of Carl's Cable Company less than the cost of Teleview, we set up an inequality based on the cost structures provided. Let m represent the number of pay-per-view movies.

Carl's Cable Company: $55 + $4m

Teleview Cable Company: $110

To find the number of movies where Carl's is cheaper, we want to find when:

$55 + $4m < $110

Now we solve for m:

Subtract $55 from both sides to isolate the variable term: $4m < $110 - $55

Simplify the right side: $4m < $55

Divide both sides by $4 to solve for m: m < $55 / $4

Simplify: m < 13.75

Since m must be a whole number (you can't watch a fraction of a movie), Carl's Cable is cheaper for up to 13 movies.

Your answer is B. 84% :)

When you use the Distributive Property, we will find...
5x - 4 = -6x - 4
Eliminate 4 by adding it to both sides.
5x = -6x
Add 6x to both sides and we get 11x = 0.
11x = 0
Divide both sides by 11.

x=0

The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.

For this problem:
3(2x − 4) = 5x − 1
Distribute
6x - 12 = 5x - 1
Add 1 to both sides
6x - 11 = 5x
Subtract 6x from both sides
-11 = -x
Divide both sides by -1.
x = 11.

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