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.​

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

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

20 maybe but dont count on me I'm dumb

Answer:

hope it helps

ppz mark as brainliest

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:

Answer:

x/11 = 10/12

x = 10*11/12= 55/6

Step-by-step explanation:

[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:

Yes!

Step-by-step explanation:

28 - 4t = 3t

Isolate t:

28 = 7t

t = 28 / 7 = 4

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

Answer:

23

Step-by-step explanation:

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!

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.

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.

(i) 1, 2, 4

(ii) 1, 2, 3, 6

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

:)

Answer:

y= 3x-5

  = 3*6 -5= 18-5 =13

Step-by-step explanation:

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

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

Answer:

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

Step-by-step explanation:

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°

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

Answer:

x = 2

Step-by-step explanation:

instructions above :)

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

:)

0.5 inches a month.

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

Then you divide by 5.

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]

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.

Answer:

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

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

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:

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]