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Doss [256]
2 years ago
9

Can someone show me how to do this? What volumes of 60% hydrochloric acid solution and 30% hydrochloric acid solution must be mi

xed to make 125mL of 36% hydrochloric acid solution?
Mathematics
1 answer:
sleet_krkn [62]2 years ago
6 0

<span>
u need two equations.</span><span>x + y = 125
0.60x + 0.30y = (0.36)(125)</span>

<span /><span>x + y = 125
0.60x + 0.30y = 45</span>

<span>solve for a variable in the first equation
y = 125 - x</span>

<span>plug into the second equation
0.60x + 0.30(125 - x) = 45
0.60x + 37.5 - 0.30x= 45
0.30x + 37.5 = 45
0.30x = 7.5
x = 25</span>

<span>plug the answer for x into the first equation
25 + y = 125
y = 100</span>

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Attempted but just couldnt understand (25Points)​
Rashid [163]

Answer:

a) Function:Yes

b) Domain: -5\:

c) Range:  -5\le y\le 3

Step-by-step explanation:

The given graph passes vertical line test hence it is a function

The given function has x-intercepts at x=-4.5, x=-1,x=3.5

We can therefore write this function in factored form as y=a(2x+9)(x+1)(2x-7)

There is a y-intercept at (0,-2)

-2=a(2*0+9)(0+1)(2*0-7)

-2=-63a

a=\frac{2}{63}

The required function is

y=\frac{2}{63}(2x+9)(x+1)(2x-7)

b) The domain refers to all values of x for which this function is defined.

The domain from the graph is -5\: because there are holes at the end of the graph.

c) The range is the value of y for which x is defined or the graph exists.

From the graph the range is -5\le y\le 3

5 0
3 years ago
What is the midpoint of the segment shown below? (-2, 3) (10, 3)
sergeinik [125]

Answer:

That point P(x,y)

x = (-2+10)/2 = 4

y = (3+3)/2 = 3

=> P (4,3)

5 0
3 years ago
1.5/4x+1=0.4/x+4 PLEASE HELP ITS PROPORTIONS
Serhud [2]

Answer:

Proportion states that the two fractions or ratios are equal

Given the equation:  \frac{1.5}{4x+1} = \frac{0.4}{x+4}

By cross multiply we get;

1.5(x+4) = 0.4(4x+1)

Using distributive property; a\cdot (b+c) = a\cdot b+ a\cdot c

1.5x + 6= 1.6x + 0.4

Subtract 0.4 from both sides we get;

1.5x +5.6= 1.6x

Subtract 1.5x from both sides we get;

5.6= 0.1x

Divide both sides by 0.1 we get;

x = \frac{5.6}{0.1}

Simplify:

x = 56

Therefore, the value of x that satisfy the equation \frac{1.5}{4x+1} = \frac{0.4}{x+4} is, 56

5 0
2 years ago
Tara and Jody's bedrooms are shaped like rectangles. Tara's bedroom is 9 ft long and 8 ft wide. Jody's bedroom is 7ft long and 1
horrorfan [7]
Tara's Bedroom: A = lw
                           A =  (9)(8)
                           A = 72 ft²

Jody's Bedroom: A = lw
                           A = (7)(10)
                          A = 70 ft²

Tara's bedroom has the greater area than Jody's bedroom.
5 0
3 years ago
A soccer balls outer covering is made by stitching together 12 regular pentagons and 20 regular hexagons both regular polygons h
KengaRu [80]
Http://www.madeiracityschools.org/userfiles/376/Classes/17052/Review%20Worksheet%20Unit%209%20Quiz%2... 

I would use this website. Hope it helps!
7 0
3 years ago
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