The table shows the number of badges earned, based on the number of boxes of cards sold. What does b(20) = 3 mean in terms of the problem?

Eduardo used the time difference between seeing lightning and hearing thunder to determine the distance of the lightning. Given that sound travels a mile every five seconds, the second lightning was 0.8 miles away, based on a time difference of 4 seconds.

Eduardo is using a method to measure the distance of lightning by noting the time difference between the visible flash of light and the audible sound of thunder. The speed of light is much faster than the speed of sound, which is why we see lightning before we hear thunder. This method works because it is known that sound travels approximately one mile every five seconds.

So, in Eduardo's first observation, he counted 10 seconds between seeing the lightning and hearing thunder. Given that sound travels a mile every five seconds, the lightning was 10 seconds/5 = 2 miles away.

In the second observation, he counted four seconds between the flash and the thunder. Using the same calculation, this means the lightning was 4 seconds/5 = .8 miles away. This is in agreement with the given information.

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Answer:

0.00018 and 1.8 × 10-4

Step-by-step explanation:

Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen.

1.8E^-4 means there are 3 zeroes after decimal then 18. When a value is very less than zero then the calculator shows that in E form. When we move the decimal to the left, it adds 1 to our exponent.

So, the correct answers are :

0.00018 and 1.8 × 10-4

1.8 × 10-4 = [tex]\frac{1.8}{10000}= 0.00018[/tex]

Answer:

This is greatest common factor.

Step-by-step explanation:

It said,”What is the greatest number of baskets?

Answer:

two hundred seventy-one

Step-by-step explanation:

Given: Two numbers 249 and 271.

To find: Word form of the greater number.

Solution:

We have two numbers 249 and 271.

To find the greater number, we need to compare the two numbers.

To compare the two numbers first of all we will compare the hundreds digit.

The hundreds digit of both the numbers is same that is 2.

Now, we will compare the tens digit of the two numbers.

The tens digit of the number 249 is 4 and the tens digit of the number 271 is 7.

As 7 is greater than 4.

271 is greater than 249.

Now, the word form of 271 is two hundred seventy-one.

To solve this problem, you need to divide 7/9 by 1/3. The answer is 7/3.

To solve this problem, we need to divide 7/9 by 1/3.

Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.

So, 7/9 ÷ 1/3 = (7/9) x (3/1). Simplifying this gives us 21/9.

We can also simplify this fraction to the lowest terms, which is 7/3.

The time taken by the bile to cover 225 miles will be 15 hours.

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

Given that bike covers a distance of 225 miles with a speed of 15 miles per hour.

The time will be calculated as below:-

Velocity = Distance / Time

15 = 225 / Time

Time = 225 / 15

Time = 15 hours

Therefore, the time taken by the bile to cover 225 miles will be 15 hours.

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Answer:

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.

Step-by-step explanation:

We are given the following in the question:

Keith uses 18 cherries and 3 peaches to make a pie filling

We find the ratio of number of cherries to number of peaches in the pie.

Equivalent Ratio =

[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{6}{1} = 6:1[/tex]

This ration can be interpreted as:

There are 6 cherries in the pie for every 1 peach in the pie.

We have to check whether  Lena can use a ratio of 21 cherries to 6 peaches.

Lena's ratio of number of cherries to number of peaches in the pie =

[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 6:1[/tex]

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.

The value of -1 1/3 - 1/6 is -1 1/2.

Option B is our correct answer.

Given,
-1 1/3 - 1/6

We need to find the value.

A fraction contains two parts:

Numerator and denominator.

Fraction = Numerator / Denominator

Example:

2/3 - 2/4

We will find the LCM of 3 and 4.

= (2x4 - 2x3) / 12

= (8 - 6) / 12

= 2 / 12

= 1/6

Example:

b/a

a x m + n = b

= [tex]m\frac{n}{a}[/tex]

Find -1 1/3 - 1/6

We can write -1 1/3 as:

= - 4/3

Now,

-4/3 - 1/6

=( -4x2 - 1) / 6

= (-8 - 1 ) / 6

= -9 / 6

= -3x3 / 3x2

= -3/2

Converting into a mixed fraction.

= -1 [tex]\frac{1}{2}[/tex]

Thus the value of -1 1/3 - 1/6 is -1 1/2.

Option B is our correct answer.

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Answer:

B

Step-by-step explanation:

[tex]\sqrt{20}[/tex] = 4.47

4.47 + 2 = 6.47

The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.

This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.

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To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.

To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.

The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.

So, it will take 9 hours to reach -1°F starting from 1:00 p.m.

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An equation in standard form is  C(t) = 150 + 45t

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. Let t be the time in hours then we can construct an equation as  C(t) = 150 + 45t

Hence, An equation in standard form representing the information  is  C(t) = 150 + 45t

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Answer:

No

Step-by-step explanation:

It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.

a² + b² = c²

5² + 12² =

√169

c = 13

13 + 13 = 26 , He will not make it to to and back.

(I have this question as well so I already have the coordinate plane)

Jim would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that jim is at his house, and his car has 25 miles until it runs out of gas.

We need to check whether  jim be able to make it from his house to the grocery store and back without stopping for gas.

This we can find by using Pythagoras theorem.

a² + b² = c²

5² + 12² =√169

c = 13

13 + 13 = 26 ,

Hence, It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.

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Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.

The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:

Based on these classifications, air is the one that cannot be classified as a substance.