How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution? 11 L 15 L 25 L

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Use substitution

x - 4 = 1/3x

Step 2: Isolate x

2/3x = 4

x = 6

Step 3: Plug back into original equation(s)

y = 6 - 4

y = 2

Answer:

(6,2)

Step-by-step explanation:

Let's use the substitution method.

x-4=1/3x

3x-12=x

3x=x+12

2x=12

x=6

y=6-4

y=2

Answer:

C). y = ln x + 4

Step-by-step explanation:

First off, we can cancel out the [tex]e^{x}[/tex] graphs.

Now looking at the graph, one can see that when x = 1, y = 4.

So for each [tex]ln[/tex] function, plug in 1 for x.

In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.

Answer:

x=35

Step-by-step explanation:

Since a quadrilateral's interior angles add up to 360°, we get this:

360-85-20=360-4x+x

340-85=360-3x

255=360-3x

-105= -3x

Multiply both sides by -1

105=3x

3x=105

Divide both sides by 3

x=35

Answer:

I think D, or 2 1/5

Step-by-step explanation:

Answer:

A , B and C are similar to each other

Step-by-step explanation:

Please give me branlest

Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.

Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.

Answer:

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Step-by-step explanation:

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

[tex]\text{total sodium} = 1310 + 350 = 1660 \text{ mg}[/tex]

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

[tex]\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}[/tex]

[tex]66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}[/tex]

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Answer:

2,500 mg

1,310 + 350 = 1,660

1,660 is 66.4% of 2,500

Answer:

the answer is true

Step-by-step explanation:

Because a parallelogram would be the result.

Answer:

(or 132 inches)

Step-by-step explanation:

Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.

The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.

132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.

Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.

Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Susan reads:

1 page in 3 mins

So,

1 page = 3 mins

If we want the time for 18 pages, we would multiply both sides by 18

So,

18 pages = 3×18 mins

18 pages = 54 mins

Answer:

C

Step-by-step explanation:

1 page every 3 minutes

18 pages will take 3 × 18 = 54 minutes to read.

Answer: $479.20

Step-by-step explanation:

[tex]499.20*0.04=19.968[/tex]

[tex]round \\[/tex] [tex]19.968[/tex]

= 20

tax= $20

[tex]499.20-20=479.2[/tex]

The price of the TV before tax was $479.20

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just got it right EDG 2021

Answer:

[tex]6\:\mathrm{pages}[/tex]

Step-by-step explanation:

[tex]3 \times 4 = 12[/tex]

[tex]1\frac{1}{2} \times 4=6[/tex]

Answer:

6 pages

Step-by-step explanation:

1.5 pages         x pages

--------------- = ------------

3 minutes         12 minutes

Using cross products

1.5 * 12 = 3x

Divide each side by 3

18 /3 = 3x/3

6 =x

6 pages

Answer:

B. False

Step-by-step explanation:

Given

[tex]Points: (x_7 - y_i),(4,8)[/tex]

Required

Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]

Given that there are two points, the distance between them is calculated using

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this case;

[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]

Substitute these in the given formula

Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Answer:

0.97

Step-by-step explanation:

97 /100

You can round once from behind to convert 97% to 0.97

9 7/10 equals 9.7

sorry if the answer is wrong

Answer:

50%

Step-by-step explanation:

Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.

Lest's pretend the original size was 100 in. 100/2x3=150

So in this case we enlarged it by 50 in. which is 50% of 100.

So, the enlargement as a percentage is 50%

Answer:

50% more

3-2=1

1/2=0.5

0.5=50%

You can also double check by adding half of two and checking if it is 3

2 x 0.5 = 1

2 + 1 = 3

50% increase

Hope this helps

Step-by-step explanation:

Answer: 84 3/8 or 84.375 inches cubed

Step-by-step explanation:

4 1/2 * 5 = 22 1/2

22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8

675/8 = 84 3/8 or 84.375

Answer:

Option D. 91/4950

Step-by-step explanation:

The following data were obtained from the question:

Barcelona (B) = 23

Real Madrid (R) = 23

Liverpool (L) = 22

Manchester City (M) = 18

Juventus (J) = 14

Total (T) = 100

Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:

P(J1) = n(J) /n(T)

P(J1) = 14/100

Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e

Juventus = 13

Total = 99

Therefore, the probability that the 2nd pick is Juventus is given below:

P(J2) = 13/99

Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:

P(J1 and J2) = P(J1) x P(J2)

P(J1) = 14/100

P(J2) = 13/99

P(J1 and J2) = P(J1) x P(J2)

P(J1 and J2) = 14/100 x 13/99

P(J1 and J2) = 7/50 x 13/99

P(J1 and J2) = 91/4950

Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950

Answer:

D

Step-by-step explanation:

Answer:

[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.

Hope this helped you, Also please let me know if anything is unclear or wrong!

Answer:

Step-by-step explanation:

Answer:

t = 5,-5

Step-by-step explanation:

35/7 = 5

because it is an absolute value, it will always be positive:

-35/7 = -5

Answer:

T = 5,

Step-by-step explanation:

7T = 35

divide 7 by both

T = 5

hope this helps

Answer:

B

Step-by-step explanation:

The question is asking for what y would be when x is 2.

So, look on the graph where x = 2.

When x = 2, y = 6.

This means after 2 hours, the cost is $6

Answer: The answer is the second one/b.

Answer:

D. 22/1=x/3

Step-by-step explanation:

Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.

Answer:

Rs 60

Step-by-step explanation:

[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]

[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]

[tex]5x(1.25)+5x(5/6)=625[/tex]

[tex]10.416667x=625[/tex]

[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]

[tex]x=59.99999...[/tex]

[tex]x=60[/tex]

Answer:

Step-by-step explanation:

Circumference C=2πr  r=radius [tex]\pi =3.14[/tex]

C=2(3.14)9.7

C=60.9

Both of them can complete 7/12 of the job in  2 hours.

Rate is the mathematical term use to show how one quantity varies with a standard quantity.

Analysis:

If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour

If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.

So both of them would do the same job combine in 1 hour = 1/8 + 1/6

LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24

In 2 hours they would complete = 7/24 x 2 = 7/12

In conclusion, both of them can do 7/12 of that job in  2 hours.

Learn more about rate: brainly.com/question/24304697

#SPJ1

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer:

Option C.

Step-by-step explanation:

It is given that James earns $1000 weekly base pay as a sales-person.

We know that, we have 4 weeks in a month. So, monthly salary of james is

Monthly income [tex]=\$1000\times 4=\$4,000[/tex]

It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.

Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]

Total amount = Monthly income + Commission

          [tex]=\$4,000+\$2,000[/tex]  

          [tex]=\$6,000[/tex]  

Therefore, the correct option is C.

Answer:

36 degrees.

Step-by-step explanation:

All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.

x + 2x + 2x = 180

5x = 180

x = 180 / 5

x = 36

Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.

Hope this helps!

Answer:

-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

     = 8-12

    = -4