Lightning strikes earth 1000 times in 10 sec. how many times does lightning strike per sec?

A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single

Goryan [66]

Answer:

#3) 72; #4) 40,320; #5) 90.

Step-by-step explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

6*12=72.

#4) The ordering of 8 cards is a permutation, given by 8!=40,320.

#5) This is a permutation of 10 objects taken 2 at a time:

P(10,2) = 10!/(10-2)!=10!/8!=90.

P.S I had the same question once.

7 0

1 year ago

Find the length of DF or state what additional information you would need to find it.

hichkok12 [17]

Answer:

DF=3.75

Step-by-step explanation:

24/6=15/x

cross multiply to get 24x=90

x=3.75

5 0

1 year ago

What is the final amount if 784 is decreased by 1% followed by a 4% increase?

Iteru [2.4K]

Answer:

The final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.

Step-by-step explanation:

General Formula

A way to solve this problem is as follows:

The general formula for this is taking into account that:

$\\ percent\;change = \frac{change}{starting\;point}$

The starting point is number 784.

The most important key is the solution for this answer is that:

$\\ change = starting\;point - x$

Where x is a number that we need to find. Then

$\\ percent\;change = \frac{starting\;point - x}{starting\;point}$ [1]

Is 784 increased or decreased after all?

We also need to evaluate the following: if a quantity decreases a percentage, and then increases in another percentage, what is the final percentage? In this case, we have first that 784 decreases by 1% and then increases by 4%. As a result 784 will +4% - 1% = +3%, that is, 784 will increase in 3%.

Finding the result

If 784 increases by 3%, we have:

$\\ 3\% = \frac{784 - x}{784}$

Which is equal to

$\\ 0.03 = \frac{784 - x}{784}$

Solving for x, we first multiply by 784 to both sides of the previous formula:

$\\ 0.03 * 784 = \frac{784 - x}{784}*784$

$\\ 0.03 * 784 = (784 - x)*\frac{784}{784}$

$\\ 0.03 * 784 = (784 - x)*1$

$\\ 0.03 * 784 = (784 - x)$

Remember that if we add, subtract, multiply, divide... to both sides of the equation, we do not "alter" this equation.

Subtracting 784 to both sides:

$\\ (0.03 * 784) - 784 = (784 - 784 - x)$

$\\ (0.03 * 784) - 784 = (0 - x)$

$\\ (0.03 * 784) - 784 = - x$

$\\ 23.52 - 784 = - x$

$\\ -760.48 = - x$

Multiplying by -1 to both sides:

$\\ -1 * (-760.48) = -1 * (-x)$

We have to remember that:

$\\ +*+ = +; - * - = +; - * + = -; + * - = -$

$\\ 760.48 = x$

Then

$\\ x = 760.48$

Therefore, using formula [1], an increase of 3% is

$\\ 3\% = \frac{784 - 760.48}{784}$

$\\ change = 784 - 760.48$

$\\ change = 23.52$

Since an increase of 3% is 23.52, we have to add this to the starting point 784, and finally the amount is 784 + 23.52 = 807.52.

As a result, the final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.

In a more terse way of solving this problem, we can say that:

Increase of 4% = 784 * 0.04 = 31.36.

Decrease of 1% = 784 * 0.01 = 7.84.

Difference = 31.36 - 7.84 = 23.52.

Then, we need to add this value to 784, and 784 + 23.52 = 807.52 (the same result).

5 0

1 year ago

If postage costs $.54 for the first ounce and $.22 for each additional ounce, calculate the cost of mailing a 10-ounce envelope.

timofeeve [1]

First = $ 54 Another postage = $ 22 So the cost is = ($ 54 x 1) + ($ 22 x 9) Cost = $ 54 + $ 198 = $ 252 #brainly.co.id/profil/FadhilPrawira-230178

4 0

1 year ago

Read 2 more answers

Darcie wants to crochet a minimum of 3 blankets. Darcie crochets at a rate of 1/15 of a blanket a day. She has 60 days until she

NNADVOKAT [17]

Answer:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:

$s\leq 15$

Step-by-step explanation:

The complete question is:

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Solution:

Given:

Darcie wants to crochet a minimum of 3 blankets to donate.

Rate at which she crochet = $\frac{1}{15}$ of a blanket per day.