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oksian1 [2.3K]
2 years ago
8

A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 105 ounces of a mixture

that is 15% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?
Mathematics
1 answer:
dedylja [7]2 years ago
5 0

Answer:

90

Step-by-step explanation:

Start with changing 35% and 30% to a decimal.

35% = .35%

30% = .30%

Then multiply 105 by .30%. ( but don't put the percent sign in the calculator when multiplying)

105 x .30% = 31.5

Then you want to divide 31.5 by .35%

31.5 /  .35% = 90

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Pls help with Trigonometric
Sav [38]

The value of the given trigonometry function is 2√15/15

<h3>Half angles</h3>

Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.

For instance the value of cos theta is expressed as shown below;

cosФ = cos(Ф/2+Ф/2)

cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ  = 1 - 2cos²Ф/2

Given the following parameters

cosФ = -7/15

Substitute

cosФ  = 1 - 2cos²Ф/2

-7/15  = 1 - 2cos²Ф/2

-2cos²Ф/2 = -7/15 - 1

-2cos²Ф/2 = -8/15

cos²Ф/2 = 4/15
cosФ/2 = 2/√15

Rationalize

2/√15 * √15/√15

2√15/15

Hence the value of the given trigonometry function is 2√15/15

Learn more on trigonometry function here: brainly.com/question/2254074

#SPJ1

8 0
1 year ago
PLEASE HELPPP!!!!!! Write an equation of the line passing through point P that is perpendicular to the given line.
ArbitrLikvidat [17]

Answer:(d): y=ax+b (a≠0); (d1)y=-4x+13

because of (d)⊥(d1) --> a.(-4)=-1 --> a=\frac{1}{4}

(d): y=\frac{1}{4}x+b. (d) pass through  P(-1;-2) so we have

-2=(1/4).(-1)+b ---> b=\frac{-7}{4}

(d) y= \frac{1}{4}x+ \frac{-7}{4}

4 0
3 years ago
−x+10=−5<br><br> Please help and include step by step.
sergey [27]

Step by Step:

Step 1.) Subract 10 from both sides.

Step 2.) Divide each side by one



answer: x=15

3 0
3 years ago
Read 2 more answers
-(x+3) = 2x-6 what is x
Makovka662 [10]

Answer:

x=1

Step-by-step explanation:

So, first you make sure to multiply the parenthesis by the negative so then it would be,

-x-3=2x-6

Then you add the -3 from the right to the other side

so, -x=2x-3

Then you want all the X variables to one side so you subtract the 2x to both sides.

so, -3x=-3

divide both by -3

x=1

7 0
2 years ago
Liam spent $4.76 on a salad bowl, and $3.81 on a cup of coffee. He paid using TWO ten dollar bills. What was Liam's change?
quester [9]

Answer:

11.43

Step-by-step explanation:

You can start this by adding the total cost of the salad and the coffee.

4.76 + 3.81 = 8.57

Then you have the paid amount of 20 bucks because there was two tens.

20 - 8.57 = 11.43.

3 0
3 years ago
Read 2 more answers
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