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3 years ago

Sid Upp is four years younger than his brother Tip. Let x stand for Tip's age . Write an equation stating that Sid's age is 32.

Mathematics

1 answer:

vlada-n [284]3 years ago

4 0

Answer:

x+4=36

Step-by-step explanation:

you would subtract 4 on each side

x+4=36

-4 -4

x=32

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From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=12$ and $r=4$ .

$^{12}P_4=\frac{12!}{(12-4)!}$

$^{12}P_4=\frac{12!}{8!}$

$^{12}P_4=\frac{12*11*10*9*8!}{8!}$

$^{12}P_4=12*11*10*9$

$^{12}P_4=11,880$

Therefore, offices can be filled in 11,880 different ways.

3 0

3 years ago

The frog population on an island is declining at a rate of 3.2% per year. The population was 4500 in the year 2009.

Vera_Pavlovna [14]

Um maybe 5.2 it depends on the frog and how many they eat to reproduce faster

3 0

2 years ago

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

4 0

2 years ago

Judd worked 40 hours this week. He worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?

Mnenie [13.5K]

If you would like to know how many hours did Judd work outside, you can calculate this using the following steps:

40 hours
outside: 7/10 of the hours = 7/10 * 40 hours = 7/10 * 40 = 28 hours

Judd worked 28 hours outside.

3 0

3 years ago

This graph shows a portion of an odd function.

nexus9112 [7]

9514 1404 393

Answer:

-2
-1
-2
-3

Step-by-step explanation:

An odd function is symmetrical about the origin:

f(-x) = -f(x)

So, ...

f(-2) = -f(2) = -2

f(-3) = -f(3) = -1

f(-4) = -f(4) = -2

f(-6) = -f(6) = -3

6 0

2 years ago