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]
2 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]2 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]2 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
Write in standard form<br>(2×10³)+(4×10²)+(4×10¹)+(4×1)<br>can somebody answer this please.<br>c:​
Romashka-Z-Leto [24]

Answer: 2,444

Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!

8 0
2 years ago
Please find the area of the shaded region.
rodikova [14]

here is the solution to the question

3 0
3 years ago
Easy Area problem <br><br> Need it fast
Gekata [30.6K]

Answer:

just subtract the area of the rectangle from the area of the carpet

fine I'll do it

Area of a rectangle= lb

Area of a square= a^2

Area of the remaining area= lb - a^2

= (12*4) - (2*2)

= 48-4

= 44 ft^2

5 0
3 years ago
In one region, the september energy consumption levels for single-family homes are found to be normally distributed with a mean
tatyana61 [14]
The probability would be 0.1971.

We will calculate a z-score for each end of this interval.

z = (X-μ)/σ

For the lower limit:
z = (1100-1050)/218 = 50/218 = 0.23

For the upper limit:
z = (1225-1050)/218 = 175/218 = 0.80

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, the lower limit is 0.5910.  The area under the curve to the left of, less than, the upper limit is 0.7881.  To find the area between them, we subtract:

0.7881 - 0.5910 = 0.1971
6 0
3 years ago
Read 2 more answers
I only need number 1 i don’t understand.
valentinak56 [21]

Answer:

12

Step-by-step explanation:

in this problem there is A+b=15

A=9

B=12

5 0
3 years ago
Other questions:
  • How can you solve problems involving equivalent expressions?
    11·2 answers
  • How many times greater is the value of the 4 in 640,700 than the value of the 4 in 67,040
    7·2 answers
  • Explain what you can tell just by comparing the symbols in a picture.
    6·2 answers
  • You need to make a 4-lb. sample of diced apricots that has an 8% by weight starch coating . How many grams of starch would you u
    14·1 answer
  • Solve for x.<br> 2x^2+3x-12=x^2+x-9
    5·2 answers
  • Given that sinx=3/5 where x is an acute angle for cosx
    13·1 answer
  • What is the area of a rectangle if 2 sides are 10 units and 2 sides are two units?
    9·1 answer
  • Jermaine had dinner at his favorite restaurant. if the sales tax rate was 5% and the sales tax on the meal came to $2.00, what w
    7·1 answer
  • Is the square root of 30 a solution to y^2=30
    13·2 answers
  • Use the quadratic formula to solve for the zeros: 2x^2 + 39 = -18
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!