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Answer:

(a) 2000 mL

(b) 70 mL, 30 mL

(c) No

Step-by-step explanation:

Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.

(a) Let x mL of Artesia is added to 500  mL of Borromeo to produce a 60% acid solution.

So, 70% of x + 20% of 500 = 60% of (x+500)

[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]

[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.

(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.

So, x+y=100\Rightarrow y= 100-x

And, 70% of x + 20% of y = 55% of (100)\\\\

[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]

[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.

and y= 100-x= 100-70=30 mL.

(c)  Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.

And, 70% of x + 20% of y = 80% of (x+y)

[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]

As x and y are amount of Artesia and Borromeo, so x>0 and y>0

[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.

Ad the negative value of x/y is not so x/y=-6 is not possible, hence,  any combination of Artesia and Borromeo that is 80% acid solution is not possible.

Answer:

B...i'm pretty sure that this Is the right one

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AOBC is a parallelogram ,

Thus :

[tex]OA = BC = a[/tex]

And ;

[tex]AC = OB = b [/tex]

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M is the midpoint of AC ,

So :

[tex]AM = MC = \frac{b}{2} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

According to case of Cosine in ∆ OAM :

[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]

So :

[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]

[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]

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I have something more to tell.

Just for know more...

According to the case of Sine in ∆ OAM :

[tex] \frac{OM}{ sin(A) } = \frac{

AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]

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Answer:

b

Step-by-step explanation:

B.................

Answer:

11.2 hours

Step-by-step explanation:

The unknown is the hour time: 120+50.30x=250+38.70x. Now solve it: Subtract 38.70 and 120 from both sides and you get 11.6x=130 x=130/11.6 or 11.2 (about)

So the answer is 11.2 hours. Hope this helps :D

Answer:

So your answer is x = 11.2068965517

or

about, X = 11.21 (to the nearest tenth)

Step-by-step explanation:

50.30x + 120 = 38.70x + 250 (Given)

Move variables to the right and constants to the left by subtracting both sides.

11.6x = 130 (subtraction Property of equaity)

x = 11.2068965517 (Division property of equality)

Answer:

-8d-5

Step-by-step explanation:

Distribute the Negative Sign:

=−6d+2+−1(7+2d)

=−6d+2+(−1)(7)+−1(2d)

=−6d+2+−7+−2d

Combine Like Terms:

=−6d+2+−7+−2d

=(−6d+−2d)+(2+−7)

=−8d−5

Answer:

$1015

Step-by-step explanation:

280 divided by 2 140 times $7.25 is $1015

The amount of money that the store lose by giving away the free tubes of paint is $1015.

Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.

Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:

= 140 × $7.25

= $1015

Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.

Read related link on:

https://brainly.com/question/18874560

Answer:

25

Step-by-step explanation:

5(x+6)−(5−x)−6x

Remember PEMDAS

P – Parentheses

E – Exponents

M – Multiplication

/D – Division  (whichever comes first from left to right)

A – Addition

/S – Subtraction (whichever comes first from left to right)

First, let's distribute the left side:

5 * x = 5x

5 * 6 = 30

5x + 30

Now, lets distribute the right side

-(5 - x) = -1(5 - x)

-1 * 5 = -5

-1 * -x = x  ( - * - = +)

x - 5

Now we have:

5x + 30 + x - 5 - 6x

Let's combine like terms.

5x, -6x, and x are like terms. 5x + x =  6x - 6x = 0

30 and -5 are like terms. 30 - 5 = 25

25

Since we can't simplify this any further, that is our answer.

~ [tex]InLoveWithPugs[/tex]

Moderator

Math Enthusiast

Answer:

Step-by-step explanation:

3(\sqrt(25)-10)+5  = -10

It's B 3(√25 -10)+5

Answer:

D

Step-by-step explanation:

it is because the brackets at B makes sense when you calculate individually

Answer:147/100

Step-by-step explanation:Convert the percentage to a fraction by placing the expression over  

100

. Percentage means 'out of  

100

1  47/100

That would be the answer uwu

Answer:

x=3

Step-by-step explanation:

3x-4=8-x(Group like terms)

3x+x=8+4(Add both sides)

4x=12(After adding you will proceed to divide both sides by 4)

x=3(x is 3 because 4 can divide 12 3 times that's why we have x as equal to 3)

Step-by-step explanation:

[tex]2,4,5[/tex]

Answer:

2.9843075e+20

Step-by-step explanation:

Am pretty sure tht the answer

Answer:

B. 1/2

Step-by-step explanation:

You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.

1/2 inch : 1 week

1/2

I Hope That This Helps! :)

Answer:

C

Step-by-step explanation:

took test

Answer:

There's no graph

Step-by-step explanation:

Answer:

y=-x+2

Step-by-step explanation:

Answer:

There is no picture shown below.

Step-by-step explanation:

Consider making another question, and actually putting the picture!

Answer:

slope(m)=change in y/change in x

-7=y-(-2)/x-(-7)

-7=y+2/x+7

-7(x+7)=y+2

-7x-49=y+2

-7x-49-2=y

-7x-51=y (B)

Answer: d,f

[tex]-x\geq 4\\=> x\leq -4[/tex]

=> all the values are d and f

Step-by-step explanation:

Answer:

16

m=10 per hour=1

Step-by-step explanation:

Answer:

A - 1:6

Step-by-step explanation:

Answer:

There is no maximum. The minimum is (-1,-4). The shape is a parabola. Yes it is a function. It is continuous. The line of symmetry is x=1 I believe. The x intercepts are x=1 and x=-3. The y-intercept is y=3. It opens up

I am not sure about the rest.

Answer:

The first term would be 18 ig, and then the common differnce would be 7.

Step-by-step explanation:

The rule to the sequence is that they are adding by 7 every term.

Answer:

40%

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

Most likely A.

Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low  

Answer: 4-6x^2

Step-by-step explanation:

f•g = f(g(x))

f(g(x)) = 4-2(3x^2) = 4-6x^2

Answer:

The answer shoudl be 6.2 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. f(5) = 5+7 = 12

b. f(-1) = -1+7 =6

c. f(-3) = -3+7 =4