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Butoxors [25]
3 years ago
12

You are making a new type of deodorant from two different mixtures the first mixture is 30% smell proof and the second mixture i

s 80% smell proof to make a safe make sure it needs to be 50% smell proof how much of each makes you need if you want 1000 L total
Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0

Answer:

600 L of 30% proof and 400 L of 80% proof is needed

Step-by-step explanation:

Let the amount of 30% smell proof be x while that of 80% smell proof is y

Then;

x + y = 1000 •••••(i)

Also;

30% of x + 80% of y = 50% of 1000

0.3x + 0.8y = 500 •••••(ii)

From i, x = 1000 - y

Put this into ii

0.3(1000-y) + 0.8y = 500

300 - 0.3y + 0.8y = 500

0.5y = 500-300

0.5y = 200

y = 200/0.5

y = 400 L

But x = 1000 - y

x = 1000 - 400 = 600 L

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2 2/5 multiplied by 2 multiplied by 3 1/5
goldfiish [28.3K]

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

​

×2×3

5

1

​

2 Simplify  2\times 52×5  to  1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

​

×2×3

5

1

​

3 Simplify  10+210+2  to  1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

​

×2×3

5

1

​

4 Convert 3\frac{1}{5}3

5

1

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

​

×2×

5

3×5+1

​

5 Simplify  3\times 53×5  to  1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

​

×2×

5

15+1

​

6 Simplify  15+115+1  to  1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

​

×2×

5

16

​

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

​

×

d

c

​

=

bd

ac

​

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

​

8 Simplify  12\times 212×2  to  2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

​

9 Simplify  24\times 1624×16  to  384384.

\frac{384}{5\times 5}

5×5

384

​

10 Simplify  5\times 55×5  to  2525.

\frac{384}{25}

25

384

​

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

​

8 0
2 years ago
Read 2 more answers
Which equation can be used to determine the distance between the origin and (-2,-4)?
Olegator [25]

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3 0
3 years ago
Read 2 more answers
Marjorie has a square tabletop whose area is 36 square feet. What is the tabletop’s perimeter?
mafiozo [28]
24. Since the area of a square is 36, it's best to figure out what the factors of 36 are.

The square root of 36 is going to be 6 so both factors are going to be six.

You don't have to worry about the side lengths being different because it's a square; therefore, the sides can't be uneven like a rectangle characteristically would.

5 0
2 years ago
Can you help me on this.
jeka57 [31]

Answer:

x=3

Step-by-step explanation:

6                   10

---------- = ------------

6+x             15


using cross products

6 * 15  = 10 * (6+x)

90 = 60+10x

subtract 60 from each side

90-60 = 60+10x-60

30 = 10x

divide by 10

30/10 = 10x/10

3=x


4 0
3 years ago
Please someone help me with this question
const2013 [10]
Basically something like this

7 0
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