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3 years ago

Tell how you knew whether to select a.m. or p.m.

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer:

You know if it is day time or night time

Step-by-step explanation:

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Adam is in mexico where the temperature is given in degrees Celsius. to convert to Fahrenheit, you multiply the Celsius temperat

lawyer [7]

C= (F-32)*5/9 :) this is the formula

6 0

4 years ago

Solve the Equations

kkurt [141]

Answer and Step-by-step explanation:

1) - 6.5 r = - 58.5

- r = - 58.5/6.5

- r = - 9

2) c - 5.5 = 2.3

c = 2.3 + 5.5

3) 56 = - 5.6s

56/5.6 = - s

10 = - s

- 10 = s

4) d/4 = 4.7

d = 4.7 / 1/4

d = 4.7 * 4

5) - 9 = 6.9 + x

- 9 - 6.9 = x

- 15.9 = x

6) 23.5 = 4.7z

23.5/4.7 = z

5 = z

7) - 2.7 = v + 4.9

- 2.7 - 4.9 = v

- 7.6 = v

8) 2.6 = k/3

k/3 = 2.6

k = 2.6 / 1/3

k = 2.6 * 3

9) - 5.6f = 44.8

- f = 44.8/5.6

- f = 8

hope it helps, my friend

3 0

3 years ago

Evaluate the sum of the following finite geometric series.

rjkz [21]

Answer:

$\large\boxed{\dfrac{156}{125}\approx1.2}$

Step-by-step explanation:

<h3>Method 1:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\\\\for\ n=1\\\\\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1\\\\for\ n=2\\\\\left(\dfrac{1}{5}\right)^{2-1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}\\\\for\ n=3\\\\\left(\dfrac{1}{5}\right)^{3-1}=\left(\dfrac{1}{5}\right)^2=\dfrac{1}{25}\\\\for\ n=4\\\\\left(\dfrac{1}{5}\right)^{4-1}=\left(\dfrac{1}{5}\right)^3=\dfrac{1}{125}$

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}=\dfrac{125}{125}+\dfrac{25}{125}+\dfrac{5}{125}+\dfrac{1}{125}=\dfrac{156}{125}$

<h3>Method 2:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\to a_n=\left(\dfrac{1}{5}\right)^{n-1}\\\\\text{The formula of a sum of terms of a geometric series:}\\\\S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\r-\text{common ratio}\to r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=\left(\dfrac{1}{5}\right)^{n+1-1}=\left(\dfrac{1}{5}\right)^n\\\\r=\dfrac{\left(\frac{1}{5}\right)^n}{\left(\frac{1}{5}\right)^{n-1}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=\left(\dfrac{1}{5}\right)^{n-(n-1)}=\left(\dfrac{1}{5}\right)^{n-n+1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}$

$a_1=\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1$

$\text{Substitute}\ a_1=1,\ n=4,\ r=\dfrac{1}{5}:\\\\S_4=1\cdot\dfrac{1-\left(\frac{1}{5}\right)^4}{1-\frac{1}{5}}=\dfrac{1-\frac{1}{625}}{\frac{4}{5}}=\dfrac{624}{625}\cdot\dfrac{5}{4}=\dfrac{156}{125}$

5 0

3 years ago

Kaapo is mixing Kona beans and Maui beans to make 25 pounds of coffee blend. Kona beans cost Kaapo $15 per pound and Maui beans

son4ous [18]

Answer:

<u>Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of pounds of the coffee blend = 25

Cost of Kona beans = US$ 15 per pound

Cost of Maui beans = US$ 24 per pound

Cost of the coffee blend = US$ 17.70 per pound

2. How many pounds of each coffee bean should Kaapo use for his blend to cost him $17.70 per pound?

Let's build our equation to answer the question, this way:

x = Number of pounds of Kona beans for Kaapo's blend

25 - x = Number of pounds of Maui beans for Kaapo's blend

Number of pounds of Kona beans for Kaapo's blend * Cost of Kona beans + Number of pounds of Maui beans for Kaapo's blend * Cost of Maui beans = Number of pounds of the coffee blend * Cost of the coffee blend

Replacing with the real values, we have:

15x + 24 (25-x) = 17.70 * 25

15x + 600 - 24x = 442.50

-9x = 442.50 - 600

-9x = -157.50

x = -157.50/-9

x = 17.50 ⇒ 25 - x = 7.50

<u>Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.</u>

8 0

3 years ago

2. At a rate of 50 mph, a car travels a distance

Sergio039 [100]

Answer: 480 miles

Step-by-step explanation:

first you divide 600 by 50 and thats the amount of hours.

600 / 50 = 12

then multiply 40 x 12 and you got your answer. :)

40 x 12 = 480 therefore your answer is 480

5 0

2 years ago