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2 years ago

Alexander is a stockbroker he earns 14% commission each week last week he sold 5400 worth of stocks

Mathematics

1 answer:

Natalija [7]2 years ago

7 0

Answer:$756

Step-by-step explanation:

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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

$z=4$

<em>Find the value of x</em>

substitute the value of z in equation B

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

$x=1$

<em>Find the value of y</em>

substitute the value of z in equation C

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

$y=3$

therefore

<em>Bottle 1</em>

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

<em>Find the value of x</em>

substitute the value of y in equation A

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

<em>Find the value of z</em>

substitute the value of x in equation B

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

solve for z

$z=8$

therefore

<em>Bottle 2</em>

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

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

<em>Find the value of y</em>

substitute the value of x in equation A

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

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

convert to mixed number

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

<em>Find the value of z</em>

substitute the value of x in equation B

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

$z=6$

therefore

<em>Bottle 3</em>

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

3 years ago

Read 2 more answers

at the car wash fundraiser jenna's team washed 14 cars in 45 minutes. if they keep up at that rate, how many cars can the team w

s2008m [1.1K]

You can write it as a proportion and then solve the proportion.
(2.5 hours is 150 minutes)
14 cars x cars
--------------- = -------------------
45 minutes 150 minutes

Then solve.

x=46.6666666
So that is about 47 cars

4 0

3 years ago

14 brainly points: can someone pls explain to me what a subset is in a way i can understand (and pls don't just find a internet

Oksana_A [137]

Answer:

Yes

Step-by-step explanation:

B is a subset of A because if A= {0,1,2,3,4} and B= {1,2} B is a part of A and B is a smaller version of A

Don't know if this helps but this is how I learned subsets.

6 0

3 years ago

Pls I neeed help very hard

Fynjy0 [20]

Answer:

96 ft

Step-by-step explanation:

Well add the given numbers up and calculate unkown sides using given measurments

6 0

3 years ago

What is the sum of the polynomials?

finlep [7]

Answer:

? are we combining like terms?

Step-by-step explanation:

8 0

3 years ago