Find the ordered pair $(x,y)$ that satisfies the system of equations

Answer:

The number of liters for container R = x = 0.5 liters

The number of liters for container S = y = 1.5 liters.

Step-by-step explanation:

Let the number of liters of container R = x

Let the number of liters of container S = y

We are told in the question : that

Container R holds a solution that is 20% alcohol

= 20% × x = 0.20x

Container S holds a solution that is 60% alcohol.

= 60% × y = 0.60y

How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?

Hence;

x + y = 2 ....... Equation 1

x = 2 - y

0.20x + 0.60y = 2 × 50%

0.20x + 0.60y = 1........ Equation 2

Substitute

2-y for x in Equation 3

0.20(2 - y) + 0.60y = 1

0.40 - 0.20y + 0.60y = 1

Collect like terms

0.40y = 1 - 0.40

0.40y = 0.60

y = 0.60/0.40

y = 1.5 liters

Note that :

x = 2 - y

x = 2 - 1.5

x = 0.5 liters

Therefore,

the number of liters for container R = x = 0.5 liters

the number of liters for container S = y = 1.5 liters.

Answer:

Question 1

9|x/4| -10=8 Answer- x= (8,-8)

Question 2

4+|3x+3|=28  Answer- x=(7,-9)

Question 3

4|x-9|+7=67  Answer- x=(24,-6)

Step-by-step explanation:

Answer:

5 small beads!

Step-by-step explanation:

Hey there!

If large beads are $3 each, and she buys 5 of them, our equation is $3 x 5 which equals $15. So Cara will spend $15 buying large beads.

Cara has $10 left now, because $25 - $15 = $10. Since each small bead is $2, we divide $10 (the total amount of money she has) by $2 (the cost of each bead). This will tell us how many she can buy! So $10 ÷ $2 is 5. Cara can buy 5 small beads!

I hope this helped you! Rating my answer and giving it a Thanks would sure help me out!

Have a wonderful day!

Answer:

648

Step-by-step explanation:

9 times 27

Answer:

$8.

Step-by-step explanation:

72 divided by 9

hope this helped </3

Answer:

Time in hours (x) ==> distance in miles (y)

1 ==> 610

2 ==> 1,220

2.5 ==> 1,525

Note: constant of proportionality is same all through = 610

Step-by-step explanation:

Constant of proportionality = [tex] \frac{y}{x} = \frac{915}{1.5} = 610 [/tex]

To get the y-values (miles) for each given x-value (hours), multiply each x-value by the constant of proportionality, 610. Constant of proportionality is same all through.

Thus,

Time in hours (x) ==> distance in miles (y)

1 ==> 1*610 = 610

2 ==> 2*610 = 1,220

2.5 ==> 2.5*610 = 1,525

Answer:

12

Step-by-step explanation:

if 8+15 is about the length of the circle, the length is about 23

so 23 - 10 = 13 and the closest number to 13 is 12 so 12 is the answer

Answer:

186cm im pretty sure

Step-by-step explanation:

Answer:

The perimeter is 186 centimeters.

Step-by-step explanation:

The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:

31 + 31 + 31 + 31 + 31 + 31

Or in simpler terms:

31 times 6.

All you need to do is multiply, and the answer comes out to 186cm

9514 1404 393

Answer:

  A = 12

Step-by-step explanation:

  [tex]48\%=\dfrac{48}{100}=\dfrac{4\cdot12}{4\cdot25}=\boxed{\dfrac{12}{25}}[/tex]

Comparing this to A/25, we see that A = 12.

Answer:

6

Step-by-step explanation:

becuase 6^2 equals 36

Answer:

d=6

Step-by-step explanation:

Use the inverse operation of square roots

Answer:

No solutions I think

Step-by-step explanation:

A -120 difference will be seen in the temperature within a 7 hour period

Equation

-30 x 7

Multiplying two of different signs ( - + ,  + - ) will always be negative.

Multiplying two of the same sign ( - - , + + ) will always be positive.

Answer:

14.92 ^-^

Step-by-step explanation:

Answer: 55

Step-by-step explanation:

just add 41.5 on 13.5 and that is x

Answer: X=55

Step-by-step explanation:

First, you want to move the constant, -41.5, to the right-hand side and change the sign. You now have an equation of x=13.5+41.5.

You are now going to add 13.5 and 41.5, getting 55, which is your answer. Hope this helps!

Answer:

X ∈ {-2, -1 ,1 ,5 ,6}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]g(f(8)) =( n ^{2} - n )+ 1 = 8 ^{2} - 8 + 1 = 64 + 9 = 73[/tex]

Answer:

I have NO IDEA

Step-by-step explanation:

???????????????????????????/?

Answer: -8

Step-by-step explanation:

R= a2/a1

32/-4 divide by 4 to simplify so its -8

-4*-8= 32

32*-8 = -256

Answer:

true

Step-by-step explanation:

negatives keep getting smaller and smaller

Answer:

false

Step-by-step explanation:

negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value

Hey there!

Sorry if I answered your question too late, but here is the answer!

Step-by-step explanation:

Toby will require $2,000 for expenses for one year of college. He plans to enroll for 2 semesters per year, so Toby has to divide $2,000 by 2 to find the expenses for each semester. He can set up the division as $2,000 ÷ 2 or 2 ⟌2,000.

Answer: He will need $1,000 for each semester.

You are free to use the Step-by-step explanation to show your work. Have a great day! :))

Hello!

D Would be your answer! Because At Midnight, the temperature was -8*f. At noon, 23*F, so

|-8-23| |-3||= 31  There you go! May I have Brainliest?

Answer:

734,000

Step-by-step explanation:

The thousands digit is the fourth digit from the right (1000) so we start by underlining that digit.

733,712

Look at the digit to the right of the underlined digit. If the number is 5 or more, add one to the underlined digit. Since 7 is 5 or more, we add one to the underlined digit.

All of the digits behind the underlined digits turn to zeros to hold the place values.

734,000

Answer:

have you check google or try mathaway or slander

Answer:

I believe that number 7 is true.

Step-by-step explanation:

8. Is not a vertical angle because 3 and 3 do not look the same. The line is clearly gone on one side.

9. Is also wrong because both angles do not make a 90 degree angle.

10. Is wrong because both angles make a 90 degree angle when it should make a be 180 degrees.

( I'm learning this subject right now so it might be wrong. Tell me if I go this right.)

Greater

36+9,000 > 40

Answer:

- 2 11/35

Step-by-step explanation:

Step 1:

9/7 × - 9/5     Equation

Step 2:

- 81/35      Multiply

Answer:

- 2 11/35       Convert

Hope This Helps :)

Answer:

Step-by-step explanation:

nevermind sry