Give an example of how prime factorization could be used in the real world.

The solution is s = 4t + 11.

Let's translate the problem into an equation:

s - 8 = 4t + 3

Now we can solve for s by adding 8 to both sides of the equation:

s = 4t + 3 + 8

Finally, we can simplify the equation by combining the constant terms:

s = 4t + 11

Therefore, the solution is:

s = 4t + 11

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Answer:

[tex]27\frac{7}{9}\approx 27[/tex] pipes.

Step-by-step explanation:

We have been given that a plumber has a 50 foot piece of PVC pipe. We are asked to find the number of 9/5 foot pieces of pipes that could be cut from the 50 foot piece.

To find the number of 9/5 foot pieces of pipes, we will divide total length of PVC pipe by 9/5 foot.

[tex]\text{Number of 9/5 foot pieces of pipes}=50\div \frac{9}{5}[/tex]

Convert to multiplication problem:

[tex]\text{Number of 9/5 foot pieces of pipes}=50\times \frac{5}{9}[/tex]

[tex]\text{Number of 9/5 foot pieces of pipes}=\frac{250}{9}[/tex]

[tex]\text{Number of 9/5 foot pieces of pipes}=27\frac{7}{9}[/tex]

[tex]\text{Number of 9/5 foot pieces of pipes}\approx 27[/tex]

Therefore, the plumber can make [tex]27\frac{7}{9}\approx 27[/tex] pipes.

28 of the  [tex]\frac{9}{5}[/tex] foot pieces can be cut from the 50 foot piece.

Given the following data;

In this exercise, you're required how many  [tex]\frac{9}{5}[/tex] foot pieces can be cut from the 50 foot piece. To do this we would divide the 50 foot piece of PVC pipe by [tex]\frac{9}{5}[/tex].

[tex]50[/tex] ÷ [tex]\frac{9}{5}[/tex] = [tex]\frac{50}{\frac{9}{5}}[/tex]

Simplifying the equation, we have;

[tex]\frac{50 \;X \;5}{9}[/tex]

[tex]\frac{250}{9}[/tex]

Number of pipes = 27.77 ≈ 28 pipes.

Therefore, 28 of the  [tex]\frac{9}{5}[/tex] foot pieces can be cut from the 50 foot piece.

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16% = 0.16

1/6 = 0.16666

1.6x10^6 = 1600000

0.166 = 0.166

order from greatest to least:

1.6x10^6, 1/6, 0.166, 16%

Answer is D

One serving of kale contains 2.5 grams of protein. This is determined by the equation 4x = 10, where x represents the protein content in one serving of kale, and solving for x.

Let x represent the amount of protein in one serving of kale. The given information states that one serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale.

So, the equation is:

4x = 10

Now, solve for x:

x = [tex]\frac{10}{4}[/tex]

x = 2.5

Therefore, one serving of kale contains 2.5 grams of protein.

The complete question is:

One serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale. Write and solve an equation to find the amount of protein x in one serving of kale.

Final answer:

To find two lengths within the given span of 0.08 to 0.4 inches for a ladybug, we can choose any two numbers between this range. For example, we can choose 0.1 inches and 0.3 inches.

Explanation:

To find two lengths within the given span of 0.08 to 0.4 inches for a ladybug, we can choose any two numbers between this range. For example, we can choose 0.1 inches and 0.3 inches. Both of these lengths fall within the given range.

The correct scientific notation is 3.762x10⁻⁷.

In scientific notation, a number is made up of a coefficient  and an exponent.

Given that  (4.18x10⁻⁴)(9x10⁻⁴).

4.18x9=37.62

10⁻⁴x10⁻⁴=10⁻⁸

So, the answer is 37.62x10⁻⁸. To obtain scientific notation the decimal moves to the left which gives 3.762x10⁻⁷.

Hence, 3.762x10⁻⁷ is the correct scientific notation.

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Ann's average speed for the entire journey from town A to town C is calculated by dividing the total distance traveled, which is 140 miles, by the total time taken, which is 4 hours, resulting in an average speed of 35 mph.

Calculating Average Speed for the Whole Journey

To calculate Ann's average speed for the entire trip from town A to town C, we first need to find the total distance traveled and the total time taken. Ann travels 100 miles from A to B, then another 40 miles from B to C, totaling 140 miles for the distance. The time taken for the first leg of the trip is 3 hours, and for the second leg, it's 1 hour, totaling 4 hours for the entire journey.

Now, we calculate the average speed using the formula:

Average Speed = Total Distance / Total Time

Average Speed = 140 miles / 4 hours = 35 miles per hour (mph).

This is the average speed for the whole trip from town A to town C.

Final answer:

After converting all distances to inches, the third tee is the farthest from the hole at 144 inches.

Explanation:

To find out which tee is farthest from the hole, we need to convert all distances to the same unit. For this problem, we will use inches, since the first distance is already given in inches.

Comparing the distances, the third hole is the farthest away at 144 inches.