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Dmitry_Shevchenko [17]
3 years ago
7

Brine is a solution of salt and water. If a tub contains 50 gallons of a 5% solution of brine, how much water must evaporate to

change it to an 8% solution?
Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
<span><span>Let x = amt of water evaporated

.05(50) = .08(50-x)
2.5 = 4 - .08x
.08x = 4 - 2.5
.08x = 1.5
x = 
x = 18.75 lb of water evaporated

Check; amt of salt remains the same, only the percentage is different, right?
.05(50) = .08(50-18.75)
.05(50) = .08(31.25)
2.5 = 2.5</span><span>
</span></span>
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PLEASE Answer! I'll Give Brainliest And A Thanks For A GOOD Answer.
melisa1 [442]

Answer: Your welcome the answer is in the attached Image.

Step-by-step explanation: mark me brainliest.

5 0
3 years ago
Find the first term and the common ratio <br>third term =6 and seventh term= 96​
mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

So, Common Ratio r = 2

Finding First term using eq(1)

a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}

So, First term a₁ = 3/2 and common ratio r = 2

6 0
3 years ago
What is the area of this rectangle in square yards?
Vikentia [17]
In the comment of the other answer, you said that the rectangle is 24 x 18 ft.

First, we have to find out how many square feet that is, and then we can convert it to square yards.

The area of a rectangle is the length multiplied by the width.

A = l x w
A = 24 x 18
A = 432 square feet

To find out how many square yards that is, we divide it by 3, because 1 yard is 3 feet.

432 ÷ 3 = 144

The area of a 24x18ft rectangle is 144 square yards.
7 0
3 years ago
Sonya planted a flower garden of tulips, daisies and lilies. She planted 2 times as many tulips as daises and 3 tomes as many da
RideAnS [48]

70 flowers were planted in all.

Step-by-step explanation:

Let,

Tulips = t

Daises = d

Lilies = l

Total tulips planted = 42

She planted 2 times as many tulips as daises.

t=2d

Putting t=42

42=2d\\2d=42

Dividing both sides by 2

\frac{2d}{2}=\frac{42}{2}\\d=21

And 3 times as many daisies as lilies.

d=3l

Putting d=21

21=3l\\3l=21

Dividing both sides by 3

\frac{3l}{3}=\frac{21}{3}\\l=7

Total flowers planted = Tulips + Daisies + Lilies

Total flowers planted = 42 + 21 + 7 = 70

70 flowers were planted in all.

Keywords: division, addition

Learn more about addition at:

  • brainly.com/question/1349456
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#LearnwithBrainly

3 0
3 years ago
» f(x) = (x+2)^2 -<br>1​
faltersainse [42]

Answer:

x= 1 thì f(x) = -11ep-by-step explanationábdkjakdkasd :

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