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OverLord2011 [107]
4 years ago
13

Some amount of a 120 gram 16% solution was taken out and replaced with pure alcohol. The result was a solution of 30% alcohol. H

ow many grams were taken out?
Mathematics
1 answer:
Naya [18.7K]4 years ago
4 0

Answer:

  20 grams

Step-by-step explanation:

Let g represent the grams of solution that were replaced. Then the amount of alcohol in the mix is ...

  16%·(120 -g) +100%·g = 30%·120

  19.2 +0.84g = 36.0 . . . . simplify

  0.84g = 16.8 . . . . . . . . . .subtract 19.2

  g = 20 . . . . . . . . . . . . . . .divide by 0.84

20 grams of solution were taken out and replaced.

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What is the amplitude and period of f(t)=-cos t
Vadim26 [7]

Answer:

c. amplitude: 1; period: 2\pi

Step-by-step explanation:

The given function is f(t)=- \cos t

This function is of the form;

y=A \cos Bt

where |A| is the amplitude.

When we compare f(t)=- \cos t to y=A \cos Bt, we have

A=-1, therefore the amplitude of the given cosine function is |-1|=1

The period is given by;

T=\frac{2\pi}{|B|}

Since B=1, the period is T=\frac{2\pi}{|1|}=2\pi

8 0
3 years ago
This season, Lisa's lacrosse team has won $\frac 23 of their home games (games played at Lisa's school), but just $\frac 25 of t
juin [17]

Answer:

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let x represents games played at home.

also y represent games played away.

Total number of games played = 49

∴ x+y=49 \ \ \ \  equation \ 1

Now according to given data:

Number of home games won = \frac{2}{3}

Number of away game won = \frac{2}{5}

Total games won =26

Hence

\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\

Now multiplying equation 1 by 3 we get,

3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\

Now Subtracting equation 2 by equation 3 we get,

(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24

Substituting value of x in equation 1 we get.

x+y=49\\24+y=49\\y=49-24=25

Hence Lisa's team have played 24 home games and 25 away games.

3 0
3 years ago
Where could 3 show up in real numbers? Answer to get brainliest!! Need help now!!
ivann1987 [24]
3 can only show up in rational
4 0
2 years ago
Read 2 more answers
HELP PLEASEE ASAP
Vesnalui [34]

Answer:

No Because the points will not be proportional

Step-by-step explanation:

4 0
3 years ago
The diagram shows MNP. Which term describes point Q?
Olenka [21]

The best point that describes point Q of triangle MNP is; D: Circumcenter

<h3>What is the central point of the triangle?</h3>

We have been given an image of a triangle MNP and we are asked to choose the term that describes point Q

We see that point Q is the point where the perpendicular bisector of the given triangle is intersecting.

Due to the fact that by definition, the point where the perpendicular bisectors of a triangle intersect is called circumcenter, therefore we can conclude that, point Q is the circumcenter of triangle MNP.

Read more about Circumcenter at; brainly.com/question/28022079

#SPJ1

6 0
2 years ago
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