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3 years ago

Find the value of x in the equation 13 - X =21

Mathematics

2 answers:

SOVA2 [1]3 years ago

8 0

Answer:

- 8

Step-by-step explanation:

13 - x = 21

-x = 8 Subtract 13 from both sides

x = -8 Divide both sides of -1 since x still has a negative.

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

x=-9

Step-by-step explanation:

$13-x=21\\\\12-x+x=21+x\\\\12+0=21+x\\\\21+x=12\\\\21-21+x=12-21\\\\0+x=-9\\\\x=-9$

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Select the correct answer.

Anastaziya [24]

Answer:

Step-by-step explanation:

3(b-2)=24

ATQ.

3(10-2)=24

3(8)=24

24=24

7 0

2 years ago

How many volleyball games would Rana

Fed [463]

Answer:

90 games

Step-by-step explanation:

Given: Total number of team (n) = 10

Each team will play twice with each other.

We know that every team will play two game with each other except with itself, therefore each team will play $(n-1)\times 2$

⇒ Each team will play = $(10-1)\times 2 = 18\ games$

∴ Each team will have 18 games with each other in the league.

Now, as there are total 10 teams and each team have 18 games each, however, we have to make sure that no team have more than two games with other team.

Example: $team_1 vs\ team_2\\\\team_2\ vs\ team_1\\$

Both the above game are same and it is a mistake to take two different game.

∴ Total number of games played by all team= $\frac{(n \times number\ of\ games\ played\ by\ each\ team}{2}$

⇒ Total games = $\frac{(10\times 18)}{2} = 90\ games$

∴ Rana have to schedule 90 games in the Volleyball league.

8 0

2 years ago

A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.

seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

$x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}$

$\frac{x}{y}=\frac{1}{8}:\frac{3}{8}$

$\frac{x}{y}=\frac{1}{3}$

$x=\frac{y}{3}$ -----> equation A

$\frac{x}{z}=\frac{1}{8}:\frac{1}{2}$

$\frac{x}{z}=\frac{1}{4}$

$x=\frac{1}{4}z$ -----> equation B

$\frac{y}{z}=\frac{3}{8}:\frac{1}{2}$

$\frac{y}{z}=\frac{3}{4}$

$y=\frac{3}{4}z$ -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

$z=4$

Find the value of x

substitute the value of z in equation B

$x=\frac{1}{4}(4)$

$x=1$

Find the value of y

substitute the value of z in equation C

$y=\frac{3}{4}(4)$

$y=3$

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

Find the value of x

substitute the value of y in equation A

$x=\frac{6}{3}=2$

Find the value of z

substitute the value of x in equation B

$2=\frac{1}{4}z$

solve for z

$z=8$

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

$x=1\frac{1}{2}$

convert to an improper fraction

$x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

Find the value of y

substitute the value of x in equation A

$\frac{3}{2}=\frac{y}{3}$

$y=\frac{9}{2}$

convert to mixed number

$y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}$

Find the value of z

substitute the value of x in equation B

$\frac{3}{2}=\frac{1}{4}z$

$z=6$

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

2 years ago

Read 2 more answers

Where in the real-world is the Pascal Triangle used? Provide an example.

cupoosta [38]

Answer:

There are many colored pebbles to choose from out of the driveway. Karmin could not decide what one he wanted for his school project. So he took the best looking 4 from the driveway. 3 of them are now his backups.

You use this tequnic (sorry I can't spell) almost everyday. When ever you think about how much of something to take, you could be using this Pascal Triangle.

I hope this helped.

6 0

2 years ago

Which matrix is equal to

just olya [345]

Answer:

65.91828182

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers