Eduardo counted 10 seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and hearing thunder, about how far away was the lightning

Answer: 406

Step-by-step explanation:

Given : In Nathan’s baseball card collection, 58% of the cards are players form the national league.

We can write 58% as 0.58 [To convert percent into decimal we divide it by 100]

If he has 702 baseball cards, then the number of baseball cards are players that form the national league will be :

[tex]0.58\times702\approx 0.58\times700=406[/tex]

Hence, about 406 baseball cards are players form the national league.

To simplify the expression 8u + 9v + 3u - 5v, combine the u terms and the v terms separately to get 11u + 4v.

To simplify the expression 8u + 9v + 3u - 5v, we can combine like terms. Like terms have the same variables raised to the same power. Combining the u terms and the v terms separately, we have (8u + 3u) + (9v - 5v), which simplifies to 11u + 4v. Therefore, the answer is 11u + 4v.

Eric will walk 1003.75 miles in a year if he meets his goal.

Eric goal is 2.75 miles/day

How many miles in one year?

[tex]\boxed {1 year = 365 days }[/tex]

so in a year, Eric will walk:

[tex]\boxed {2.75 miles \times 365 days }\\ \boxed {= 1003.75 miles }[/tex]

Here is how to do decimal numbers multiplication using standard algorithm (You can see in the attachment below how to multiply using the area model)

   2.75            ⇒ 2 decimal place

   365   x        ⇒ 0 decimal place (a whole numbers)

  1375

 1650

825  +

1003.75           ⇒ 2 decimal place

Here how to determine where the decimal point, from the calculation above

First factor has 2 decimal place

Second factor has no decimal place,

so the result would have 2 decimal place (2+0)

In doing decimal numbers multiplication we don't need to line the decimal place.

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Keywords: multiplication, decimal multiplication, three digits number additional, additional, multiplication, three digit numbers, subtraction decimal numbers

Note that if Eric meets his goal, he will walk approximately 1003.75 miles in a year

Note that the distance walked to and from the park every day = 2.75 miles

Number of days in a year = 365 days

Total miles walked in a year = Distance walked every day x Number of days in a year

Total miles walked in a year = 2.75 miles x 365 days

= 1003.75 miles

So , if Eric meets his goal, he will walk approximately 1003.75 miles in a year.

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2.37 + 0.35 = 2.72 total spent

5.00 - 2.72 = $2.28 change back

Answer:

D) it shows the functional relationship , the cost of the apples is a function of weight.

Step-by-step explanation:

Given : Graph between cost of the apples and the weight of apples.

To find : Which is true about the functional relationship shown in the graph.

Solution : We can see from the graph is showing the relation between cost of an apple and weight of apple .

Therefore, D) it shows the functional relationship , the cost of the apples is a function of weight.

To solve Elizebeth's challenge, we can arrange 6 tiles in different ways to find a pattern where the number of toothpicks is more than double the number of tiles. The pattern is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.

To solve Elizebeth's challenge, we need to find a pattern where the number of toothpicks is more than double the number of tiles. Let's start with 6 tiles. We can arrange these tiles in various ways and count the number of toothpicks:

So, for 6 tiles, the number of toothpicks is either 1, 2, 3, 4, 5, or 6. The pattern we can observe is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.

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The equation that could be used to solve the number of hours Ben ran during each half of the race will be y = 5x + 3 and y = 5.5x + 2

During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. Therefore, the number of miles covered will be:

y = 5x + 3

During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. Therefore, the number of miles covered will be:

y = 5.5x + 2

Then using both equations will be:

y = 5x + 3

y = 5.5x + 2

Subtract the equations

0.5x = 1

x = 1/0.5 = 2

Therefore, the value of y will be:

y = 5x + 3 = 5(2) + 3 = 13

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Answer:

The overall average of the classes is 89.125%

Step-by-step explanation:

For calculate the average of the class using weighted means, it is necessary to take into account the number of students of every period. So, the average can be calculated as:

[tex]Average =\frac{(x_1*a_1) +( x_2*a_2) + (x_3*a_3)}{x_1 + x_2 + x_3}[/tex]

Where is[tex]x_1, x_2[/tex] and [tex]x_3[/tex] are the number of students for period 1 , 2 and 3 respectively and [tex]a_1, a_2[/tex] and [tex]a_3[/tex] are the average of period 1, 2 and 3 respectively.

Replacing the values of x1 by 15 students, x2 by 21 students, x3 by 12 students, a1 by 86%, a2 by 88% and a3 by 95%, we get:

[tex]Average = \frac{(15*86)+(21*88)+(12*95)}{15+21+12}[/tex]

Average = 89.125%

So, using weighted means, the overall average of the classes is 89.125%

The probability that a dart hits the circle when moved from Quadrant IV to Quadrant II stays the same if the size of the circle and the rectangular region remain unchanged, as it is dependent on the area ratio of the circle to the rectangle.

When the circle is moved from Quadrant IV to the shaded region in Quadrant II, the probability that a dart hitting the rectangular region lands in the circle depends on whether the size of the circle or its position relative to the overall dartboard (the rectangle) changes. The probability is determined by the ratio of the area of the circle to the area of the rectangle. If the circle remains the same size and merely shifts positions, the probability does not change. However, if moving the circle changes its size or if it overlaps differently with the rectangular region, then the probability will be affected. To calculate the probability, you would divide the area of the circle by the area of the rectangle. Provided there are no changes to the size of the circle or rectangular area, the probability remains constant despite the move.

Answer:

Step-by-step explanation:

−5(4x 6)<−18x 6 4x given

−20x−30<−18x 6 4x  distributive property

−20x−30<−14x 6  combine like terms

−6x−30<6  addition property of order

−6x < 36  addition property of order

x>−6 division property of order

Answer:

It is 48

Step-by-step explanation:

Answer with Step-by-step explanation:

A function is a map from a set A to another set B such that

the image of any point in a has a unique image in set B.

A = {(1, 2), (2, 3), (3, 4), (4, 5)}

It is a function since image of 1,2,3 and 4 is unique.

B = {(1, 2), (2, 1), (3, 0), (4, -1)}

It is  a function since image of 1,2,3 and 4 is unique.

C = {(-1, 3), (0, 3), (1, 3), (2, 3)}

It is  a function since image of -1,0,1 and 2 is unique.

D = {(1, 1), (1, 2), (1, 3), (1, 4)}

It is  not a function since image of 1 is not unique.

E = {(6, 2), (7, 3), (6, -1), (5, 4)}

It is  not a function since image of 6 is not unique.

Hence, sets that are not functions are:

D = {(1, 1), (1, 2), (1, 3), (1, 4)}

E = {(6, 2), (7, 3), (6, -1), (5, 4)}

Total distance cover from Jungle A to B is 60 km

Given that;

Time taken to cover distance = 45 minutes

Speed of trip = 80 km/h

Find:

Total distance cover from Jungle A to B

Computation:

Distance = Speed × Time

Total distance cover from Jungle A to B = Time taken to cover distance × Speed of trip

Total distance cover from Jungle A to B = [45/60] × 80

Total distance cover from Jungle A to B = [0.75] × 80

Total distance cover from Jungle A to B = 60 km

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 The sunlight takes about 8 minutes and 20 seconds to reach earth.

We have given that,

The speed of light is 3 x 10^8 meters/seconds.

D = r x t  distance is equal to the rate of speed multiplied by time. 

Thus t = d ÷ r  

This is the relationship we'll use to solve this problem.

 Now, let's organize our data

 r = 300,000,000 m/s  

Let's write this using scientific notation

r = 3 x 108 m/s 

d = 1.5 x 1011 m 

t = d ÷ r  ⇒  t = 1.5 x 1011 ÷ 3 x 108  or

 t = 0.5 x 103  

That is 500 seconds or about 8.3 minutes so basically the answer is the sunlight takes about 8 minutes and 20 seconds to reach earth.

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The number ​​0.00000000058 in standard form is equal to [tex]58\times10^{-11}[/tex].

In Mathematics and Statistics, any numerical data (number) can be written in scientific notation as shown below:

a × [tex]b^{n}[/tex]

Where

Based on the information provided above, the numerical data (number) is given by 0.00000000058. When expressed in decimal notation, it can be computed as follows;

Numerical data = 0.00000000058

Numerical data = [tex]5.8\times10^{-10}=58\times10^{-11}[/tex]

Note: The number of zeros must be equal to ten (10).

Answer:11 boxes

Step-by-step explanation:

total ages = 60 
Generally, if the mode is 8 would mean there are more than one age of 8 
suppose there are two with age 8, 
leaving 44 for the other 4 
(11 for the average of the remaining 4) 

could have 9 and 13, and 8 and 14 

so we could have: 
8,8,8,9,13,14 

or we could have: 
8,8,9,10,12,13 

check:of the 1st answer 
mean = (8+8+8+9+13+14)/6 = 10 
the mode is 8 

you check the 2nd case

To calculate the area of the blanket, multiply the length (2.25 meters) by the width (1.8 meters) to get 4.05 square meters. Then convert this to square centimeters by multiplying by 10,000 (since 1m^2 is 10,000 cm^2), resulting in an area of 40500 square centimeters.

The area of the blanket can be calculated by multiplying its length by its width. We start with the measurements in meters and then convert the result into centimeters.

First, we find the area in square meters:
Area = length × width = 2.25 m × 1.8 m = 4.05 m²

Since there are 100 centimeters in a meter, we need to convert each dimension from meters to centimeters before we can find the area in square centimeters. This means we multiply each meter by 100 to get the dimension in centimeters:

So, the area of the blanket is 40500 cm².