1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sleet_krkn [62]
3 years ago
10

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

Drag numbers to show how much of each scent should be used in each bottle of lotion.
1/8= vanilla sent
3/8= almond sent
1/2= pineapple sent

bottle 1:
vanilla=?
almond=?
pineapple=4

bottle 2:
vanilla=?
almond=6
pineapple=?


bottle 3:
vanilla=1 1/2
almond=?
pineapple=?

15 PTS!!!!
Mathematics
2 answers:
RoseWind [281]3 years ago
8 0

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6Part 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

so

-----> equation A

-----> equation B

-----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

Find the value of x

substitute the value of z in equation B

Find the value of y

substitute the value of z in equation C

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

Find the value of x

substitute the value of y in equation A

Find the value of z

substitute the value of x in equation B

solve for z

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

convert to an improper fraction

Find the value of y

substitute the value of x in equation A

convert to mixed number

Find the value of z

substitute the value of x in equation B

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

seropon [69]3 years ago
5 0

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}

so

\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

You might be interested in
what is the rule for solving proportions? A. The sum of the means is the product of the extremes. B. The product of the means is
Zanzabum
The rule is that :
B. The product of the means is equal to the product of the extremes
8 0
3 years ago
What is the surface area of the triangular prism?
Tanzania [10]

Answer:

216

Step-by-step explanation:

First find the base area

0.25 * √[(5 + 6 + 5) * (-5 + 6 + 5) * (5 - 6 + 5) * (5 + 6 - 5)] = 12

Equation:

12 * (5 + 6 + 5) + (2 * 12) = 216

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
harkovskaia [24]
C is the best answer choice for you
6 0
2 years ago
GT
DedPeter [7]

I have no idea what you are trying to say

6 0
3 years ago
A hundred percent turned into a decimal
faltersainse [42]
100%=1.0 hope this helps
4 0
3 years ago
Read 2 more answers
Other questions:
  • The ferry between an island and mainland makes on round trip a day on Monday the ferry carried 83 people to the island and retur
    5·2 answers
  • Which of the following is equal to the rational expression when x does not equal 3 or -10? (x+5)(x-3)/(x-3)(x+10)
    13·1 answer
  • Write the equation of the line in slope-intercept form that has : slope: 3 and point : (1,0)
    14·1 answer
  • A rectangle's length is twice its width. if the perimeter is 132 cm, find the width of the rectangle.
    11·1 answer
  • Amanda wants to attend Baylor University for her 4-year college. She is a National Merit Scholar and scores a 1500 on her SATs.
    11·1 answer
  • Shelby made 16 quarts of juice for a picnic. How many cups of juice did Shelby make?
    8·2 answers
  • The difference of y and 9 is at least 24 .
    15·1 answer
  • The figure on the left shos a line segment 2 inches
    13·1 answer
  • WILL MARK BRAINLIEST ANSWER ASAP
    7·1 answer
  • What is the answer.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!