All categories

3 years ago

You will need _____ml of the 95% solution

Mathematics

2 answers:

Taya2010 [7]3 years ago

7 0

70 mL=25% alcohol

?mL=90% alcohol

90×70÷25

=252 mL

I think do like this....I'm not sure

Hope this help you

Serggg [28]3 years ago

3 0

9514 1404 393

Answer:

420 mL

Step-by-step explanation:

Let x represent the amount of the 95% solution needed in the mixture. The the total amount of alcohol in the mixture is ...

0.25×70 + 0.95(x) = 0.85(70 +x)

0.10x = 42 . . . . . . . . subtract 17.5+0.85x

x = 420 . . . . . . . . divide by 0.10

You will need 420 mL of the 95% solution.

Additional comment

There will be 70+420 = 490 mL of solution, of which 85%, or 0.85×490 = 416.5 ml is alcohol. That alcohol is the total of 0.25×70 = 17.5 mL of alcohol from the 25% solution and 0.95×420 = 399 mL of alcohol from the added 95% solution. (17.5 +399 = 416.5)

You might be interested in

50 parents were asked which activities they enrolled their infant in.

Salsk061 [2.6K]

Answer: gymnastics 35

music 21

swimming 36

Step-by-step explanation:

gymnastics 35=20+9+6

music 21=8+7+6

swimming 36=20+9+7

4 0

3 years ago

6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

If g(x) = −3x + 4, what is the value of g(−3)? A. 13 B. 5 C. −5 D. -13

Nady [450]

G(-3)=-3(-3)+4= -5
The g(-3)= -5

3 0

2 years ago

Read 2 more answers

PLS HELP I'LL MARK BRAINLEST

Andru [333]

Answer: x=55

Step-by-step explanation: 35+35=70. 180-70=110. 110/2=55.

6 0

2 years ago

Read 2 more answers

......... my algebra....

dsp73

The graph represents a function but the table does not. The reason for this is that one input value (70) in the table is associated with two output values (54.6 and 53.11), which is a sure sign that we do NOT have a function here.

5 0

3 years ago

Read 2 more answers