On the summit of a mountain, rising 784 1/5 meters from the sea level, is put a tower raising a height of 38 1/25 meters. On the roof of this tower is a lightning rod with a height of 3 4/5 meters. At what height above sea level is the very top of the lightning rod?

Answer:

-15x+24

Step-by-step explanation:

You can write that as:

[tex](-6x+36)-(12x-3x+12)\\-6x+36-12x+3x-12\\-15x+24[/tex]

Answer:

Final price = $79.16

Step-by-step explanation:

Given that:

Sales tax in the state  = 7%

Amount spent by Hernando = $73.98

Amount of sales tax = 7% of 73.98

Amount of sales tax = [tex]\frac{7}{100}*73.98[/tex]

Amount of sales tax = 0.07 * 73.98

Amount of sales tax = $5.18

Final price = 73.98 + 5.18 = $79.16

Hence,

Final price = $79.16

Answer:

x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+2=3+1

Step 1: Simplify both sides of the equation.

2x+2=3+1

2x+2=(3+1)(Combine Like Terms)

2x+2=4

2x+2=4

Step 2: Subtract 2 from both sides.

2x+2−2=4−2

2x=2

Step 3: Divide both sides by 2.

2x2=22

x=1

Answer:

Step-by-step explanation:

How many books are there?

6+5+4+3 = 18 books total

How many are adventure books?

3

3 out of 18 books are adventure books

Robero has a 3/18 probability of choosing an adventure book.

Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.

You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).

3/3 = 1

18/3 = 6

So the fraction can be reduced to 1/6.

Robero has a 1/6 chance of choosing an adventure book.

Answer:

2x^3 +14x^2 -13x-3

Step-by-step explanation:

Answer:

A. 9, 12, 15

Step-by-step explanation:

9, 12, 15 is a set of numbers that form pythagorean triple because it satisfies the equation, a² + b² = c².

Where, c is the longest side while a and c are the two other legs of the triangle.

Thus:

9² + 12² = 15²

225 = 225 (this is true).

Answer:

every 9.7 seconds

Answer:

9.7 seconds

Step-by-step explanation:

Got it correct on Khan Academy:

Answer:

a) f(2) = 4

b) g(3) = 3

c) g(1/3) = -1

d) f(3) = 1/2

e) g(-2) = 2

f) f(π) = 3

Step-by-step explanation:

We are given:

f={(2,4),(-4,3),(3,1/2),(π,3)} and g={(3,3),(-2,2),(1/3,-1)}

We need to find the following values of f and g

a) f(2)

f(2) means when x=2, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =2 then y=4

So, f(2) = 4

b) g(3)

g(3) means when x=3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =3 then y=3

So, g(3) = 3

c) g(1/3)

g(1/3) means when x=1/3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =1/3 then y=-1

So, g(3) = -1

d) f(3)

f(3) means when x=3, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =3 then y=1/2

So, f(3) = 1/2

e) g(-2)

g(-2) means when x=-2, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =-2 then y=2

So, g(-2) = 2

f) f(π)

f(π) means when x=π, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =π then y=3

So, f(π) = 3

Answer:

7/10 of the newspapers

Step-by-step explanation:

Pls give me brainliest if it helps (:

Answer: 213

Step-by-step explanation: The median is the middle number

in the data set when the data set is written from least to greatest.

So let's start with writing ur data set from least to greatest.

So we have 195, 200, 226, 230.

Notice that there are two middle numbers.

If there are two middle numbers in the data set,

we find the median by taking their average.

In other words, we add the two middle numbers and divide by two.

So we have 200 + 226/2 or 426/2 which is 213.

The term is a

The base would be b

Answer:

ok so the base is this 10³ so like 10 is the base and a term is a math expression

Step-by-step explanation:

Answer:

haha i am an adult

Step-by-step explanation:

dont cheat in school

Answer: 7.5% gain

Step-by-step explanation:

First find the original price of the article.

Assume this price to be x.

x + (x * 20%) = 480

x + 0.2x = 480

1.2x = 480

x = 480/1.2

x = Rs. 400

Original price is Rs. 400.

If the merchant had sold the article for 430, the percent gain would have been:

= (Selling price - original price) / Original price

= (430 - 400) / 400

= 7.5%

Answer:

a. 4 minutes per lap

b. 0.25 laps per minute

c. 36 minutes

Step-by-step explanation:

a. divide 16 by 4 to get the answer

b. divide 4 by 16 to get the answer

c. divide 9 by 4 to get 2.25 then multiply 2.25 by 16 to get 36

Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

To distribute, multiply the outside number by everything inside the parentheses.

6 x 5x = 30x

6 x -3 = -18

30x - 18

I hope this helps!

Answer:

1. 4

Step-by-step explanation:

(-3, 6) and (-3, 10)

|-3 - 3| = 0, |6 - 10| = 4

4² + 0² = 16, [tex]\sqrt{16}[/tex] = 4

(4, -5) and (-2, -5)

|4 - -2| = 6, |-5 - 5| = 0

6² + 0² = 36, √36 = 6

(6, 4) and (6, -1)

|6 - 6| = 0, |4 - -1| = 5

5² + 0² = 25, √25 = 5

(-9, 1) and (-4, 1)

|-9 - -4| = 5, |1 - 1| = 0

5² + 0² = 25, √25 = 5

Answer:

Drag each set of coordinates to the correct location on the table.

Calculate the distance between the pairs of coordinates, and classify them according to the distance between them.

(3, 4) and (2, 1)

(3, 7) and (5, 2)

(5, -2) and (3, 3)

(-2, 3) and (1, 2)

(-4, -2) and (-3, 1)

(4, -1) and (-1, 1)

Step-by-step explanation:

Answer:

113.6 feet

Step-by-step explanation:

set up a proportion of height of structure over height of shadow

let t = height of tree

t = 125

5      5.5

cross-multiply:  5.5t = 625

                             t = 625 / 5.5

Answer:

9:7

Step-by-step explanation:

32-18=14

18:14

9:7

hope this helps :)

Answer:

Step-by-step explanation:

Smallest and largest whole number which gives 1600 when rounded to the nearest hundred.

The lowest whole number is 1550

The highest while number is 1649

Wheb rounding to the nearest hundred, the tens value which comes after the hundred value is carefully observed, of the tens value is less than 5, then it is rounded down to zero. However, if the tens value is greater than or equal to 5, it is rounded to 1 and added to the hundred value.

Numbers below 1550 will not round to 1600 (nearest 100) also numbers greater than 1649will not round to 1600(nearest 100).butvall numbers in between them will round to 1600 (nearest hundred)

Answer: 2 13/16 miles

Step-by-step explanation:

From the question, we are informed that a car travels 5/16 of a mile in 1/4 of a minute. The number of miles that the car will travel in 2 1/4 minute will be calculated as:

= 5/16 ÷ ( 1/4 / 2 1/4)

= 5/16 × 2 1/4 / 1/4

= 5/16 × (9/4 ÷ 1/4)

= 5/16 × 9

= 45/16

= 2 13/16 miles

The car will travel 2 13/16 miles in 2 1/4 minutes.

Answer:

A. Correct

B. Correct

C. Incorrect

D. Incorrect

E. Incorrect

Step-by-step explanation:

A and B. are correct because when divided down to decimals they equal 0.5

Answer:

A and B

Step-by-step explanation:

5 divided by 10 equals 0.5

50 divided by 100 equals 0.5

5/10 is also known as 5 divided by 10

Answer:

Diane had 0.3 grams of pepper left

Step-by-step explanation:

If she had 0.9 grams of pepper, we can subtract the amount of pepper she used (0.6) to find out how much she has left.

0.9 - 0.6 = 0.3

(sorry if this is confusing but I hope it helped)

Answer:

She has 0.3 grams of pepper left.

Step-by-step explanation:

0.9 g - 0.6 g = 0.3 g

It's just like answering 9 - 6 (= 3) but moving he decimal forward 1 placement.

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed over the interval 40 to 75 minutes.

This means that [tex]a = 40, b = 75[/tex]

It is known that the cycle time exceeds 45 minutes

This means that we can use [tex]a = 45[/tex]

What is the probability that the cycle time exceeds 50 minutes?

[tex]P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333[/tex]

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Answer:

1/3 * (8 + 4)

Step-by-step explanation:

Expression which represents 1/3 tines the sum of 8 and 4

Expressing mathematically,

Sum of 8 and 4 is written as (8 + 4)

1/3 of the sum is expressed as ; 1/3 x (8 + 4)

Hence,

1/3 * (8 + 4)

1/3 * 12

= 4

Expression is 1/3 * (8 + 4)

Result = 4

Answer:

The difference is 5/12.

Step-by-step explanation:

Answer:

The answer is: 7c and 3fl oz

Answer:

24 cupcakes

Step-by-step explanation:

4 divided by 2 is 2, so you do 12 times 2 and you get 24.