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enyata [817]
3 years ago
15

Charlie mixes 15 liters of 17% acid solution with a 29% acid solution, which results in 23% acid solution.

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

(15(.17)+.29x)/(15+x)=.23

2.55+.29x=3.45+.23x

.06x=.9

x=15

So 15L of the 29% solution was added to the 15L of 17% solution to make  

30L of 23% solution.

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ANSWER PLEASE I WILL MARK AS BRAINLIEST
ICE Princess25 [194]

Answer:

162 mL  

Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

V = \text{2 fl oz} \times \dfrac{\text{29.57 mL}}{\text{1 fl oz}} = \textbf{59 mL}

(c) Banana flavouring

V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.928 mL}}{\text{1 tsp}} = \textbf{2.5 mL}

2.Calculate the total volume

Chlorpheniramine =  100  mL

Lidocaine               =   59

Banana flavouring = <u>    2.5  </u>    

TOTAL                    = 162 mL

3 0
3 years ago
What is the area of the figure?
Mrrafil [7]

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm.  To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted.  First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle.  All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great!  The inner rectangle has an area of 3.6cm × 5.8cm.  That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have.  Doing so gives us a result of 14.96cm², and that is the final answer.

5 0
2 years ago
Read 2 more answers
Solution of y - x &lt; -3
devlian [24]

Answer:

Step-by-step explanation:

The inequality y - x < -3 should be solved for y, as follows:

Add x to both sides, obtaining:

y  <  x - 3

Note that this y  <  x - 3 has the form y = mx + b, which represents a straight line.  In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.

Because y  <  x - 3  involves the inequality symbol <, draw a dashed line, not a solid line.   The solution set consists of all points on the graph BELOW this dashed line y  <  x - 3.

8 0
3 years ago
What value of x satisfies the equation 3x/7+5/7=4/7
Nana76 [90]
You can multiply everything by 7 to make things simpler.
3x + 5 = 4
3x = -1
x = -1/3
3 0
3 years ago
Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
olganol [36]

Answer:

f(x) = x^{3} + 4x^{2} -7x^{} -10^{}

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

f(x)=(x-(-5) )(x -(-1))(x - 2) = (x+5)(x+1)(x-2)\\\\f(x)=(x+5)(x^{2} -2x + x -2) = (x+5)(x^{2}  -x-2)\\\\f(x)=x(x^{2}  -x-2)+5(x^{2}  -x-2)\\\\f(x)= x^{3} - x^{2} -2x + 5x^{2} - 5x - 10\\\\f(x)= x^{3} + 4x^{2} -7x - 10

<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>

4 0
3 years ago
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