Which number is equivalent to the fraction ?

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:

40%

Step-by-step explanation:

Answer:

9 goes in the blank

Step-by-step explanation:

Since 21 divided by 7 is 3 then you would have to multiply 3 to the numerator to get the equivalent. Hope this helped :)

Answer:

9/21

Step-by-step explanation:

multiply the numerator and denominator by 3 and you will get 9/21

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:

8 ≤ u ≤ 12

Step-by-step explanation:

Given:

C = 34.95u +6.25

Where,

u = number of uniforms

what is the domain you of the function for this situation

The number of uniforms depend on the number of players

If there are at least 8 players but not more than 12 players on the volleyball team.

u ≥ 8

u ≤ 12

The domain of the function is

8 ≤ u ≤ 12

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:

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:

b

Step-by-step explanation:

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

Answer:

16

m=10 per hour=1

Step-by-step explanation:

Answer:

undefined i think

Step-by-step explanation:

Answer:

(-1,-1)(4,-20)(2,0)

Step-by-step explanation: Just fill in the x and y

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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]

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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]

_________________________________

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:

$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:

5

Step-by-step explanation:

3 3/4 divided  by 3/4  is equal to 15/4 divided by 3/4

which is 15/4 times 4/3  the 4's cancel each other out making it 15/3 which is 5

Answer:

The answer is 5

Step-by-step explanation:

i dont really know how i know it just do.

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:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

Answer:

Step-by-step explanation:

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

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

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

Answer: 1/4 chance of picking red

Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4

Hope this helps!

Answer:

30/120

Step-by-step explanation:

Add 30+30+60

120/ 4 because 60/2 is 30 so thats two 30s

then there is a 30 out of 120 chance it is red

Answer:

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

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.

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Math Enthusiast

yes

Step-by-step explanation:

i will 100% alsways wear a mask

Answer:

2.9843075e+20

Step-by-step explanation:

Am pretty sure tht the answer

Answer:

The answer shoudl be 6.2 miles

Step-by-step explanation:

Answer:

C.¿Cuanto dinero hay al cabo de n anos

Answer:

Arc SN = 65

Step-by-step explanation:

The relationship between these three is

RPQ = 1/2 (arc SN + arc QR)

70 = 1/2 (x + 75)                        Multiply by 2

140 = x + 75                              Subtract 75

x = 140 - 75

x = 65

The given numbers are 0, -2, -3, -4, -5, -6, -7, -8, and -10.

Sum of all the integers is -45.

There are 9 places in 3x3 magic square, so divide -45 by 9, we have -45/9=-5.

Put the number -5 at the center place in the magic square.

Now, take the integer having the largest magnitude, i.e -10.

There are two positions to place -10, one is diagonal positions and the other is non-diagonal positions and to make sum = -15, the other number with -5 and -10 must be 0 as shown in the figure (i) and (ii).

Now, the row and column having 0 must have -8 and -7 to make sum -15, which disregards the possibility of -10 at the diagonal place ( figure (i)). So, proceeds with the places in figure (ii), the possible places of -8 and -7 have been shown in figure (iii).

Now, as the sum of diagonals = -15, so place -3 and -2 at diagonal positions and also place the remaining numbers -4 and -6 to make the sum of numbers in columns and rows -15 as shown in figure (iv).

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: d,f

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

=> all the values are d and f

Step-by-step explanation:

Answer:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

Step-by-step explanation:

Doing this problem correctly requires the application of "order of operations" rules.  "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your

x^2 plus 2y divided by 2x

comes out to:

(x^2 plus 2y")

--------------------

         2x

If we now divide this result by "2x plus 3z," we get:

  (x^2 plus 2y")

  --------------------

            2x

================

      2x + 3

or:

(x^2 plus 2y")

--------------------

    2x(2x + 3)