In 13 liters of 18% salty solution we add 402g of salt. What is the concentration of the new mixture?

Answer:

the equaion of the new line is y = -2x + 13

Step-by-step explanation:

The slope of this line is 1/2.  Recall that if we are given such a slope and want the slope of a line perpendicular to the given line, we find the negative reciprocal of the slope of the given line.  Here, given m = 1/2, the slope of any line perpendicular to the given line is m = -2.

Now insert this info into the standard slope-intercept equation of a line:

y = mx + b becomes 5 = (-2)(4) + b.  Solve this for b:

5 + 8 = b = 13.

Thus, the equaion of the new line is y = -2x + 13.

Answer:

There are 100 seats that are next to a window.

Step-by-step explanation:

You have to calculate 20% of the total number of seats.

20% can also be written as 20/100

so 20/100 x 500. If you solve this then you will get 100. Therefore, 100 seats are next to a window.

Answer: 100 seats are next to a window.

Step-by-step explanation: 1. We assume, that the number 500 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 500 is 100%, so we can write it down as 500=100%.

4. We know, that x is 20% of the output value, so we can write it down as x=20%.

5. Now we have two simple equations:

1) 500=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

500/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 500

500/x=100/20

(500/x)*x=(100/20)*x       - we multiply both sides of the equation by x

500=5*x       - we divide both sides of the equation by (5) to get x

500/5=x

100=x

x=100

now we have:

20% of 500=100

Answer:

X = 150

Step-by-step explanation:

1/2x + 50 = 125

1/2x = 75

2(1/2x) = 150

x = 150

Hope this helps. Pls give brainliest.

Answer:

m<y=22º

Step-by-step explanation:

180-19-41=120

m<1=120º

m<1≅m<2

m<2=120º

180-120-38=22

so y=22º

Part A

For Todd's class, we have this given info:

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

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

Part B

For Garret's English class, we have:

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

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

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

Answer:

$195.30

Step-by-step explanation:

$180 + 8.5 = $195.30

Answer:

[tex]2y - 5w \\ here \\ \: y = - 3 \\ w = - 1 \\ then \: = > 2 \times (- 3) - 5 \times ( - 1) \\ = 2 \times - 3 - 5 \times - 1 \\ = - 6 + 5 \\ = - 1 \\ thank \: you[/tex]

The solution of expression after substituting given values is, - 1

We have to give that,

An expression is defined as,

2y - 5w

Here, y = - 3

w = - 1

Now, Substitute y = - 3 and w = - 1 in above expression,

we get;

⇒ 2y - 5w

⇒ 2 × - 3 - 5 × - 1

⇒ - 6 + 5

⇒ - 1

Therefore, The solution is, - 1

To learn more about the equation visit:

brainly.com/question/28871326

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Answer:

6; 22; 20 (ft.)

Step-by-step explanation:

1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.

2) if according to the condition perimeter is 48 (ft.), then

9n-6=P; ⇔ 9n-6=48; n=6.

3) if n=6, then the required lengths of the sides are:

n=6 (ft.);

4n-2=22 (ft.);

4n-4=20 (ft.)

Answer:

reciprocle of 6 is -1/6 reciprocle of6/5 is -5/6

Step-by-step explanation:

just flip the fraction and switch the sign

Answer:

Reciprocal is the multiplicative inverse of something

1. 1/6

2. 5/6

Answer:

55% of 100 is 55% of 100

Step-by-step explanation:

just a guess

Answer:

y(3r)

Step-by-step explanation:

Compute the derivative, dy/dx (use the chain rule):

y = 10/(1 + e ⁻ˣ) = 10 (1 + e ⁻ˣ)⁻¹

===>   dy/dx = -10 (1 + e ⁻ˣ)⁻² (-e ⁻ˣ) = 10e ⁻ˣ/(1 + e ⁻ˣ)²

Evaluate the derivative for x = 0 to get the slope of the tangent to the curve at (0, 5) :

dy/dx (0) = 10e ⁰/(1 + e ⁰)² = 10/(1 + 1)² = 10/4 = 5/2

Use the point-slope formula to get the equation of the tangent line:

y - 5 = 5/2 (x - 0)

===>   y = 5/2 x + 5

Answer:

y≤|x+1|

Step-by-step explanation:

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

Answer:

3rd option

Step-by-step explanation:

We first need to find the diameter of the circle.

We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.

The diagonal of a square is

[tex]a \sqrt{2} [/tex]

where a is the side lengths of the square.

So this means the diagonal of the square is

[tex]18 \sqrt{2} [/tex]

The diagonal is also the diameter of the main circle. The formula for circumference is

[tex]d\pi[/tex]

where d is the diameter.

So the diameter is

[tex](18 \sqrt{2} )\pi[/tex]

or

[tex]18\pi \sqrt{2} [/tex]

The third option is correct

Answer:

The answer = -512

Step-by-step explanation:

To find -(2-^6)(2^3)

We have that -(2-^6) = {-(-2*-2*-2*-2*-2*-2)}=

-(64) which is -64

For (2^3) = (2*2*2) =8

Therefore -(2-^6)(2^) = (-64)(8)

which is = -512

So therefore -(2-^6)(2^3) = -512

Answer:

D

Step-by-step explanation:

First student's calculation :

Area = 3*20*20 = 1200 sq. yds

Second student's calculation:

Area = 3.14 * 20 * 20 = 1256 sq. yds

Difference = 1256 - 1200 = 56 sq yds

Answer is D

Answer:

1-23.5

2-2

3-5.59

4-0.278

Answer:

parallelogram

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = -8x⁷ + 8x - 6

To find f(-x), we'll need to plug in -x instead of x.

f(x) = -8x⁷ + 8x - 6

f(-x) = -8(-x)⁷ + 8(-x) - 6

Answer:

-11.55

Step-by-step explanation:

(to get the numbers out of the brackets you have to multiply all the numbers in the brackets to the number that is there, and in this case its 1.5)

1.5x(-2.4)= -3.6

1.5×(-5.3)= -7.95

after that, you add them (because there is a plus sign, not a minus, multiplication sign or a division sign.)

-7.95+ -3.6= -11.55

answer= -11.55

Answer:

it is 12

hope this answer helps you dear take care!

Answer:

-10 out side the radical sign then 2 in the sign

2 out side the radical 3 inside the radical

Step-by-step explanation:

it's neither

Step-by-step explanation:

It's not symmetrical

Answer:

C

Step-by-step explanation:

The function is neither

Answer: 17.6

Step-by-step explanation:

16*10/100

160/100

1.6+16

17.6

Answer:

17.6 feet

Step-by-step explanation:

16*10%(or 0.10)= 1.6 feet which is 10% of his 16 foot jump

16+ the 10% increase of 1.6= 17.6 feet as his new record

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

a.) How much money does Spongebob earn per hour?

b.) How much money does Squidward earn per hour?

c) Who earns more per hour? Justify your answer

Spongebob earns more than that of squidward per hour.

Refer to attachment for Solution ~

Pigs love to eat bacon! I wonder why. But, you learn something new everyday! :)

Answer:

N = 20

Step-by-step explanation:

32+N=52

Subtract 32 from each side

32-32+N=52-32

N = 20