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Anarel [89]
3 years ago
15

A chemist is mixing a 50% salt solution with an 18% salt solution to make 40 L of a new solution that will contain 30% salt. How

much of each of the original solutions should the chemist use?
Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

Sum of ingredients = sum of final solution

.50 x      where x =   50 percent amount    then 40 - x = 18% amount

.50 x    + .18(40 - x)   =   .30 ( 40 )

.50 x   + 7.2 - .18x  =   12

.32x  = 4.8

x = 15 L of 50%     25 liters of 18%

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The perimeter of a rectangle is 35cm. The length is 5cm. Write and
boyakko [2]

Answer:

P = 2L + 2W

35 cm = 2(5 cm) + 2(W cm)

W = 12.5 cm

Step-by-step explanation:

P = 2L + 2W

35 cm = 2(5 cm) + 2(W cm)

35 cm - 10 cm = 2W cm

2W cm = 25 cm

w cm = 12.5 cm

8 0
3 years ago
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bixtya [17]

Answer:

$1.62

Step-by-step explanation:

1. To find how much Erin spent, we have to multiply 0.54 by 3.

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  • (0.5*3)+(0.04*3)
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Therefore, Erin spent $1.62.

3 0
3 years ago
you are standing 10 feet away from a tree.the angle of elevation is 35 degrees .how tall is the tree?
marshall27 [118]
Tan(theta)= opposite/ adjacent

tan(35) = opp / 10ft

opp=10 * tan(35)

opp= 7.002 ft tall

3 0
4 years ago
Please help me multiple choice at top
vlabodo [156]

Answer:

<em>A translation of 4 units up and 4 units to the left</em> is the correct answer.

8 0
4 years ago
Help help! 50+ points plus Brainlist answer if work is shown!
3241004551 [841]

Answer:

4 sqrt(5)

-----------------

5

83 +12 sqrt(35)

Step-by-step explanation:

1.   4 sqrt(6)

 --------------------

sqrt(30)

Multiply the top and bottom by sqrt(30) to rationalize the denominator

4 sqrt(6) *sqrt(30)

 --------------------

sqrt(30)*sqrt(30)

4 sqrt(180)

 --------------------

30

Simplify

2 sqrt(36 *5)

--------------------

15

We know that sqrt(ab) = sqrt(a) sqrt(b)

2 sqrt(36)sqrt(5)

--------------------------

15

2 *6*sqrt(5)

-------------------

15

Simplify

2 * 2 sqrt(5)

---------------------

5

4 sqrt(5)

-----------------

5

2. (2 sqrt(5) + 3 sqrt(7))^2

(2 sqrt(5) + 3 sqrt(7)) (2 sqrt(5) + 3 sqrt(7))

FOIL

first 2sqrt(5)*2sqrt(5)=4*5=20

outer 2 sqrt(5) * 3 sqrt(7) = 6 sqrt(35)

inner  3 sqrt(7) *2 sqrt(5) = 6 sqrt(35)

last 3sqrt(7) 3sqrt(7) = 9*7 = 63

Add them together = 20 + 6 sqrt(35)+ 6 sqrt(35) +63 = 83 +12 sqrt(35)

6 0
4 years ago
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