How much salt is in a mixture containing 10 gallons of an 11% salt solution and 6 gallons of a 7% salt solution?
I think I can solve it but forming the equation is where I have problems.​

Answers

Answer 1

Answer:

Step-by-step explanation:

There really isn't an equation because there isn't an unknown. If we create a table, the "equation" that you are talking about will be come apparent. Let's call the 2 solutions Sol 1 and Sol 2:

                      Gallons of solution    *        % salt          =         Gallons of salt

Sol 1  

Sol 2

If we fill in this table according to the info we are given, we have 10 gallons of the 11% solution, and 6 gallons of the 7% solution, so

                     Gallons of solution       *       % salt         =        Gallons of salt

Sol 1                        10                                     .11            =        1.1 gallons of salt

Sol 2                        6                                     .07           =        .42 gallons of salt

We multiply the Gallons of solution by the % salt to get the gallons of salt. There are 1.1 gallons of salt in solution 1 and .42 gallons of salt in solution 2, so in the mixture (which is 16 gallons) there is 1.1 + .42 gallons of salt, which is 1.52 gallons of salt.


Related Questions

The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. A. What is the mean temperature for the second week? B. What is the mean absolute deviation for the second week? C. Which week had greater variability in high temperature? Explain your reasoning. (When necessary, round all answers to the nearest hundredths place. Type all answers below.

Answers

Answer:

(A) The mean temperature for the second week is 4.86 degrees Celsius.

(B) The mean absolute deviation for the second week is 4.86 degrees Celsius.

(C) The second week had greater variability in high temperature.

Step-by-step explanation:

We are given that the daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.

Here is a list of the high temperatures, in degrees Celsius, for the second week;

5, 9, 7, 0, 3, 5, 5

(A) The mean temperature for the second week is given by;

                  Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]

                             = [tex]\frac{5+9+7+0+3+5+5}{7}[/tex]

                             = [tex]\frac{34}{7}[/tex] = 4.86 degrees Celsius

(B) Mean absolute deviation for the second week is calculated as;

Firstly, subtracting mean from each data value;

| 5 - 4.86 | = 0.14

| 9 - 4.86 | = 4.14

| 7 - 4.86 | = 2.14

| 0 - 4.86 | = 4.86

| 3 - 4.86 | = 1.86

| 5 - 4.86 | = 0.14

| 5 - 4.86 | = 0.14

Now, we will find the mean of these deviations;

Mean absolute deviation = [tex]\frac{0.14+4.14 + 2.14+4.86+1.86+0.14+0.14}{7}[/tex]

                                          = [tex]\frac{13.42}{7}[/tex] = 1.92 degrees Celsius

(C) The second week had greater variability in high temperature because it's mean absolute deviation is greater than that of first week. And also the mean absolute deviation tells us that on average how far the data values are from the mean.

Solve the two-step equation.Analyze the solution shown.

1. –|–x| = 7: given

2. |–x| = –7: multiplication property of equality

3. –x = 7 or –x = –7: definition of absolute value

4. x = –7 or x = 7: multiplication property of equality

5. Check: –|–(–7)| = 7, –7 ≠ 7

–|–7| = 7, 7 = 7

Negative times negative is positive.

Determine the flaws in the solution.

The multiplication property of equality in Step 2 should result in |x| = 7.
The definition of absolute value is applied incorrectly. There is no solution.
The reason in Step 4 should be the addition property of equality.
The multiplication property of equality in Step 4 should result in only x = 7.
In evaluating the solutions, the absolute value should be simplified first to get a positive value.

Answers

Answer:n evaluating the solutions, the absolute value should be simplified first to get a positive value.

The definition of absolute value is applied incorrectly. There is no solution.

Step-by-step explanation:

Answer:

B&E

Step-by-step explanation:

Solve
solution
5w + 3 <4w + 9 graph the
set on
number
Line

Answers

Answer:

hope it helps

ppz mark as brainliest

(7x+2y)^2-25y^2 factorise this pls.
pls help me!! Any body there!!​

Answers

Answer:

(7x + 5y) (7x - 5y)

ANSWER THIS QUESTION WITH WORKING PLEASE :>!!!

Answers

Step-by-step explanation:

y + 65°= 180° (Being co-interior angle)

y = 180° - 65°

y = 115°

Next we will find of the next co-interior angle which is A and D

(2x - 10)° + (3x + 20)° = 180° ( Same reason)

Now we will keep the like ones together.

2x° + 3x° - 10° + 20° = 180°

5x° + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 170°/5

x = 34°

Now we need to find (2x - 10)° and (3x + 20)°

(2x - 10)°

=(2×34-10)°

=(68-10)°

=58°

(3x + 20)°

=(3×34-20)°

=(102-10)°

=92°

Ally's hair grew from 10 10 \frac{3}{4} 4 3 ​ inches to 13 13 \frac{1}{4} 4 1 ​ inches over 5 months. At what rate did Ally's hair grow per month?

Answers

0.5 inches a month.

I believe you subtract 13 1/4 by 10 3/4 = 2 1/2.

Then you divide by 5.

Faith lost 2 1/2 pounds in 10 days. If
Faith lost the same amount of pounds each
day, how much weight did Faith lose per
day?
Please help me

Answers

Answer:

1/4 pound

Step-by-step explanation:

2 1/2 divided by 10

=

1/4

or

5/2 divided by 10

=

1/4

Answer: 1/4 lbs

Step-by-step explanation:

To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.

(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day

please answer the question

Answers

20 maybe but dont count on me I'm dumb

5x -5=50x + 13

Solve for x

Answers

-x both side and -13 both side
50x-5x=-5-13
45x=-18
Divided by 45 both sides
x=18/45
x=0.4

can someone help me with this please

Answers

Answer:

I think the answer is E.

Step-by-step explanation:

-3 -4= -7 and that's less than nine.

if x was 3 it would be -7 + 3 = -4 which is still less than nine

if x was -11 it would be -7 -11 = -18 which is also lower than nine

if x was -3 it would be -7 -3 = -10 that's less than nine as well

Answer:

I only

Step-by-step explanation:

I) 3

9 > -3 - 4(3)

9 > -3 - 12

9 > -15

9 is great than -15 so the value of 3 works.

II). -11

9 > -3 - 4(-11)

9 > -3 +44

9 > 41

9 is actually less than 41 so the value of -11 does not work

III). -3

9 > -3 - 4(-3)

9 > -3 + 12

9 > 9

9 is equal to 9, not greater than so the value of 3 does not work

Find the distance between the following points:
A(9,2) and B(3,6).

Answers

Answer:

d = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}[/tex]

Can someone answer these for me ?

Answers

i can’t see it? i can tell it’s kami but what does it say?
i can’t see the questions

i need to know the answer as soon as possible.

Answers

0.35p

Because the price also indicates percentage

Answer:

p - 0.35, so C.

It's not A because that's the regular price times the percentage off.

combining like terms with negative coefficients
2x-4xy+5x-2xy-4x-4y?

Answers

67885 truing 6788 yea that ab it

Answer: 3x-6xy-4y

Step-by-step explanation: So, it’s been a few years since I’ve been in high school, but if I remember correctly...it should break down as such...

A good method to breaking this down is to use parentheses to break up the equation.

Example: (2x)(-4xy)(+5x)(-2xy)(-4x)(-4y)

Keep in mind we are only using the parentheses as a breaker and not as multiplication as it can be seen.

So, start with the singular ‘x’ variants. (2x) (+5x) (-4x). 2x+5x is 7x. 7x-4x is 3x. Now, move onto ‘xy’ variant. (-4xy) and (-2xy). As these are both negative, they add together to make an even lower number...being -6xy. Onto the final step taking the singular ‘y’ variant. There’s only 1 ‘y’ variant so it just stays -4y.

In the end, you end up with 3x-6xy-4y. :) Hope this helps. If you have any more questions, let me know!

Solve for x in simplest form. 4=4/3 (x−6)

Answers

Answer:

Solve for x in simplest form. 4=4/3 (x−6)

x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation: first you distribute the 4/3 to (x-6) by multiply 4/3 to x and to -6. Which will be 4=4/3x-24/3, then you simplify 24/3 which equal s 4=4/3x-8. Cancel the -8 by adding each side by 8, it'll be 4+8=4/3x-8+8. Which equals 12=4/3x. Then you divide each side by 4/3 to cancel the 4/3. 12/(4/3)=x & to divide a fraction you just need to cross multiply the number so it will be (12/1 x 3/4) = 36/4= 9 so x will be = 9.

28 -4t = 3t is it 4 the answer

Answers

Answer:

Yes!

Step-by-step explanation:

28 - 4t = 3t

Isolate t:

28 = 7t

t = 28 / 7 = 4

Answer: yes good job

-(x + 4) – 3x + 8 = 4(x – 3)

Answers

Answer:

x = 2

Step-by-step explanation:

instructions above :)

please help i’m very confused on this one

Answers

Answer:

  34.224

Step-by-step explanation:

C(2.76, 310) means you want to evaluate the expression for g=2.76 and d=310. Put those numbers where the variables are and do the arithmetic.

  [tex]C(2.76,310)=\dfrac{2.76\cdot 310}{25}=\dfrac{855.6}{25}=\boxed{34.224}[/tex]

Can someone help plz

Answers

Answer: x=-7

Step-by-step explanation:

1) The angles of a triangle are equal to 180

2) Add your angles together and set them equal to 180 like this:

x+59+x+51+84=180

3) Combine like terms:

2x+ 194 =180

4) Subtract 195 from both sides:

2x+ 194 =180

    - 194   -194

2x = -14

5) Divide by 2 on both sides

2x= -14

/2     /2

x= -7

HELP!! -5/8 - (-4/3) = x What is x?

Answers

Answer:

x = [tex]\frac{17}{24}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{5}{8}[/tex] - (- [tex]\frac{4}{3}[/tex] ) = x

Note that - (- [tex]\frac{4}{3}[/tex] ) = + [tex]\frac{4}{3}[/tex] , thus

- [tex]\frac{5}{8}[/tex] + [tex]\frac{4}{3}[/tex] = x

Multiply through by 24 ( the lcm of 8 and 3 ) to clear the fractions

- 15 + 32 = 24x

17 = 24x ( divide both sides by 24 )

[tex]\frac{17}{24}[/tex] = x

Perform the indicated row operations



Answers

Answer:

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Step-by-step explanation:

Given matrix is,

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

Operations performed,

-10R₂ → R₂

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

3R₃ → R₃

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Answer:

the multiple choice is A

Step-by-step explanation:

BINGO
7 26 35 51 73
14 23 44 5563
6 19 FREE 48 64
12 22 32 54 70
11 16 33 47 69
What output corresponds with 12?

Answers

Answer:

23

Step-by-step explanation:

What is the result when the number 10 is decreased by 5.1%?

Answers

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

I need help solving 8g+10=35+3g. Please help!!

Answers

Answer:

g = 5

Step-by-step explanation:

Step 1: Write out equation

8g + 10 = 35 + 3g

Step 2: Subtract 3g on both sides

5g + 10 = 35

Step 3: Subtract 10 on both sides

5g = 25

Step 4: Divide both sides by 5

g = 5

Find the common factors of:

(i) 24 and 28 (ii) 12 and 18 (iii) 36 and 48​

Answers

(i) 1, 2, 4

(ii) 1, 2, 3, 6

(iii) 1, 2, 3, 4, 6, 12

:)

valuate y = 3x - 5 when x = 6.

Answers

Answer:

y= 3x-5

  = 3*6 -5= 18-5 =13

Step-by-step explanation:

3(6) - 5
12 - 5
7




I think it would be correct

QUESTION 8 A motorboat leaves a harbor and travels at an average speed of 6 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 12 mph toward the same island In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Answers

Answer:

2 hours

Step-by-step explanation:

Distance = rate × time

That is,

d=rt

Let

t = time (hours) cabin cruiser traveled

t + 2 = time (hours) motorboat traveled

motorboat = 6 mph

Cabin cruiser =12 mph

Motorboat distance

d=rt

d = 6(t + 2)

Cabin cruiser distance

d=rt

d = 12(t)

Equates the two distance

6(t + 2) = 12t

Open bracket

6t + 12 = 12t

12 = 12t - 6t

12 = 6t

Divide both sides by 6

t = 12 / 6

= 2

t = 2 hours

The cabin cruiser will be alongside the motorboat in 2 hours

evaluate 207.3×0.04​

Answers

Let's first just do the multiplication and ignore the decimal points.

2073 x 4 = 8292.

Now there are 3 decimal points we need to consider. So, that gives us an answer of 8.292

:)

The answer is 8.292 I hope this is helpful

pleaseeeeeeee help me

Answers

Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

X divided by 11 equals 10 divided by 12 what’s x

Answers

Answer:

x/11 = 10/12

x = 10*11/12= 55/6

Step-by-step explanation:

Solution:

[tex] \huge \pink {\tt { \frac{x}{11} = \frac{10}{12}}} [/tex]

By cross multiplication, we get

12x = 110

or, x = 110/12 = 55/6

Answer: x = 55/6
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