What is the answer to, "Use exponents to write an expression for 1 billion

To show what part of an hour has passed using 3 equivalent fractions, we use the position of the hour hand relative to the clock's 12-hour cycle. For instance, if the hour hand is at 3, 1/4 of an hour has passed, which can be shown as 1/4, 2/8, or 3/12.

To label each clock with at least 3 equivalent fractions to show what part of an hour has passed, we would typically look at how much of the 12-hour cycle of the clock has been covered. For example, if the hour hand is pointing at the 3, a quarter of the cycle has passed, because 3 out of 12 hours have elapsed. Therefore, the equivalent fractions representing this time segment could be 1/4, 2/8, and 3/12. The idea here is that each fraction must have a numerator and denominator, which, when simplified, would result in 1/4.

More examples include if the hour hand points at 6, half of the clock or an hour has passed, hence equivalent fractions could be 1/2, 4/8, and 6/12. If it's at the 9, three-fourths of the clock has passed, so equivalent fractions could be 3/4, 6/8, and 9/12. Understanding time conversion between words and numbers and basic fractions is crucial to identifying these equivalent fractions on an analog clock.

Final answer:

To find the constant ratio in math, set up a proportion with two ratios and solve for the unknowns.

Explanation:

To find the constant ratio in math, you typically set up a proportion by equating two ratios. For example, if you have a ratio of 1:2, you can set up the proportion as 1/x = 2/y, where x and y represent the unknown values.

You then solve for the unknowns by cross-multiplying and simplifying the equation. In this case, the constant ratio would be x:y = 1:2.

Answer:

82.125 million tons

Step-by-step explanation:

The U.S. produces 36.5 million tons of fruit each year.

To calculate the amount of fruits It produces in 2.25 years we multiply the production of 1 year to 2.25 years.

It produces fruits in 2.25 years = 36.5 × 2.25

                                                   = 82.125 million tons

The U.S. produces 82.125 million tons of fruit in 2.25 years.

Following are the calculation of the 3 different equations:

Given:

[tex]\to \bold{38+16 = 54}[/tex]

To find:

write 3 different equations to the given value.

Solution:

[tex]\to \bold{38+16 = 54}[/tex]

In the given question, by adding the value it is equal to 54. So, the calculate of the given sum in 3 different ways can be defined as follows:

[tex]\to \bold{10+44}\\\\\to \bold{5+49}\\\\\to \bold{7+47}\\\\[/tex]

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Final answer:

To find the necessary increase in wind speed for Tropical Storm Hamm to reach hurricane status, set up the inequality 42 + x >= 74, resulting in x >= 32. Hence, the wind speed must increase by at least 32 miles per hour.

Explanation:

To determine how much the wind speed must increase for Tropical Storm Hamm to become a hurricane, we use an inequality. We know that a storm becomes a hurricane when the wind speeds reach at least 74 miles per hour.

Currently, Tropical Storm Hamm has wind speeds of 42 miles per hour. Let's define the variable x as the increase in wind speed needed for the storm to reach hurricane status.

The inequality that represents this situation is:
42 + x ≥ 74

Now, we solve for x:

Subtract 42 from both sides of the inequality: x ≥ 74 - 42

Simplify: x ≥ 32

Therefore, the wind speed must increase by at least 32 miles per hour for Tropical Storm Hamm to become a hurricane.

Cathy spends a total of 48 minutes each morning making her bed, eating breakfast, and getting ready for school.

To calculate the total time Cathy spends each morning:

Making her bed: 1/10 hour = 6 minutes

Eating breakfast: 1/5 hour = 12 minutes

Getting ready for school: 1/2 hour = 30 minutes

Total time: 6 minutes + 12 minutes + 30 minutes = 48 minutes

Answer:

Step-by-step explanation:

Answer: 118%

Step-by-step explanation:

Cora's kitten weighed in the last visit to the veterinarian's office=550 grams

Right now, Cora's kitten weighs =1200 grams

Increase in the kitten's weight=[tex]1200-550=650\text{ grams}[/tex]

Percent increase in weight=[tex]\frac{650}{550}\times100[/tex]

[tex]=118.18\%\approx118\%[/tex]

Hence, there is 118% increase in kitten's weight.

Answer:

It basically was the first documented spiritual connection throughout the world that gave everyone a answer to why and how they were made by an all mighty being, The son of god.

Step-by-step explanation:

To create a line of 123 ³/₄ inches with straws each measuring 4 ¹/₈ inches, 30 straws are needed. The cost to make these straws is $0.45.

To determine how many straws are in the line that extends 123 ³/₄ inches using straws that are each 4 ¹/₈ inches long, you would divide the total length of the line by the length of one straw. Converting to improper fractions for ease of calculation, we get:

Dividing the total length by the length of one straw:

Next, to find the total cost of the straws:

Therefore, 30 straws are used to create the line and the total cost for these straws is $0.45.

Answer:

Brown rice

Step-by-step explanation:

We must determined how much you pay per oz. for each type of rice to determine the best buy.

For brown rice:

[tex]79/16=4.93[/tex]

You pay approximately 5 cent per oz. of brown rice.

For white rice:

[tex]3.49/32=0.109=0.11[/tex]

You pay 11 cents per oz. of white rice.

White rice is twice the price of brown rice per oz.

∴ brown rice

Final answer:

To divide decimals by a whole number, place the decimal point in the quotient above the decimal point in the dividend, divide as with whole numbers, and add zeros if necessary to match decimal places.

Explanation:

To divide decimals by a whole number, you can follow these steps:

Using this method, we can solve the given problems:

5.29 divided by 6 = 0.8817

3.59 divided by 6 = 0.5983

4.79 divided by 6 = 0.7983

The correct option is c.

The volume of a cylinder with a radius of 6 units and a height of 8 units is approximately 904.32 cubic units when using π as 3.14 in the formula, and is exactly 864 cubic units when using π as 3 in the formula.

The given question is based on the formula to calculate the volume of a cylinder. The formula is V = πr²h where V is the volume, r is the radius of the base, h is the height of the cylinder, and π (Pi) is approximately equal to 3.14.

In this case, r = 6 units and h = 8 units. Now, substituting these values into the formula:

V = π * (6 units)² * 8 units = 3.14 * 36 sq.units * 8 units = 904.32 cubic units

The available options don't include this value, but keep in mind that π is typically approximated in school-level problems, which might account for a slight variance in the final answer.

If π is approximated to 3 (instead of 3.14), the volume would be 3 * 36 * 8 = 864 cubic units.

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The complete question is given below:

If r = 6 units and x = 8 units, then what is the volume of the cylinder shown above? Where x is the height of the cylinder.

A.  952.12 cubic units

B.  904.32 cubic units

C.  288.06 cubic units

D.  489.55 cubic units

Final answer:

The process for solving multiplication and division one-step equations is similar to solving one-step addition and subtraction equations by identifying the unknown variable, applying principles of equality, and performing appropriate operations on both sides of the equation.

Explanation:

Final answer:

The best estimate of the solution to the system of equations is (1, 5).

Explanation:

In order to find the best estimate of the solution to the system of equations graphed on a coordinate plane, we need to look for the point where the two lines intersect. This point represents the solution to the system of equations.

The coordinates (1, 5) are the best estimate of the solution to the system of equations.

Answer:

-144ft

Step-by-step explanation: