After totaling his donations for the run-a-thon, Darnell will earn $40 for every 2.5 miles he runs.


Step 1: Choose the function equation for this situation

Answer:

Step-by-step explanation:

The given line has a slope m = 4.

We know parallel lines have equal slopes.

Use point - slope equation and substitute the coordinates of the given point to get:

Part A: The final volume of the new solution is 150 mL.

Part B: The concentration of the new solution is 0.125 M.

The volume of liquid is defined as the amount of liquid in a three-dimensional container. Volume is the quantity of three-dimensional space occupied by a liquid.

Given that the molarity of NaCl solution is 0.150 M, the volume of NaCl solution is 125 mL, the volume of water added is 25 mL.

Part A:

The final volume of the new concentrated solution is calculated as given below.

[tex]V = 125 + 25[/tex]

[tex]V = 150 \;\rm mL[/tex]

The final volume of the new solution is 150 mL.

Part B:

The mole of the NaCl solution is calculated using the molarity formula.

Molarity of NaCl solution = 0.150 M

Volume of NaCl solution = 125mL or 0.125 L

Molarity = Mole of NaCl solution / Volume of the NaCl solution

[tex]0.150 = \dfrac {Moles}{Volume}[/tex]

[tex]0,150 = \dfrac {Moles}{0.125}[/tex]

[tex]Moles \;= 0.01875[/tex]

The moles of NaCl solution is 0.01875 mole which remains same when water is added. Thus, the molarity of the new concentration can be calculated as given below.

Molarity = Moles of NaCl / Volume of new solution

Molarity = [tex]\dfrac {0.01875}{0.150}[/tex]

Molarity = 0.125 M

Hence we can conclude that the concentration of the new solution is 0.125 M.

To know more about the volume, follow the link given below.

https://brainly.com/question/24650225.

Answer:

12930.1

Step-by-step explanation:

Answer:

4th one

Step-by-step explanation:

because its a line (linear)

Answer:

330 seconds

Step-by-step explanation:

60(5.5)

Answer:

-7x(4x - 5)

Step-by-step explanation:

−28x^2 + 35x

-7x(4x - 5)

Hope this helps!

Answer:

=−66132x

Step-by-step explanation:

((7)(87)−(12)(9))(x)((−3)(44))

=−66132x

Answer:

reverse mean going back side.

Answer:

0.05 as decimal

1/20 as fraction

Step-by-step explanation:

Flip the reciprocal and multiply to get the answr you make the 4 into a fraction by doing this ; 4/1 and flip it like this; 1/4. Then multiply it to get 1/20

Have an amazing day!

Please rate and mark brainliest!

Answer:

the answer is C

Step-by-step explanation:

I had the same question

Answer:

-3/4

Step-by-step explanation:

a = 2 and b = -1

12a⁻⁴b⁻³

= 12(2)⁻⁴(-1)⁻³

= 12(1/16)(-1)

= -12/16

= -3/4

Answer:

The answer is the last option or 6.

Over 2 days, 12 likes were added.

12/2 is 6.

Over an additional 3 days, 18 likes were added.

18/3 is 6.

So, the average rate of change is 6.

Answer:

The equations in the system have different intercepts so there are two solutions

Answer:

10/100 x 30 = 3

30 + 3 = 33

Answer:

The answer is $33

Step-by-step explanation:

Here,

$30 × 10 ÷ 100 = 300/100 = $3

Here, we know the raised amount.

So,

$30 + $3 = $33

Thus, the instructor get paid for teaching a class is $33

-TheUnknownScientist 72

Answer: 19/24

Step-by-step explanation: There are 19 colored squares out of 24 squares total.

Answer:

Yes

Step-by-step explanation:

since it is -21/21 you can divide it by 21, -21/21=-1, 21/21=1

hence, -1/1

-1/1=-1

Answer:

Step-by-step explanation:

x + 70 = 180   {Linear pair}

       x = 180 - 70

       x = 110

y + 82 = 180 {linear pair}

      y = 180 -82

      y = 98

x - 4 = 110 - 4 = 106

2y - 40 = 2*98 - 40

            = 196 - 40

            = 156

Answer:

x = 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = ([tex]\sqrt{12}[/tex] )² + ([tex]\sqrt{12}[/tex] )² [ the 2 legs are congruent ]

x² = 12 + 12 = 24 ( take square root of both sides )

x = [tex]\sqrt{24}[/tex] = [tex]\sqrt{4(6)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]

Answer:

=> Cos theta = Base /Hypotenuse

=> Cos Z = 30/50 => 3/5

★ So, Option B) 3/5 is a correct answer.

_______________________

=> Cos theta = Base/Hypotenuse

=> Cos X = 12/37

★ So, option D) 12/37 is a correct answer.

________________________

=> Sin theta = Perpendicular/Hypotenuse.

Sin Z = 16/20 => 4/5

★ So, option C) 4/5 is a correct answer

=> Sin theta = Perpendicular/Hypotenuse

Sin Z = 48/50 => 24/25

★ So, option A)24/25 is correct answer

________________________

Answer:

it's answer is 1.34 but it can be wrong also

Answer:

$20

Step-by-step explanation:

Fernando paid $1.40 as sales tax and the sales tax rate is 7%.

We can write,

Total cost * 7% = 1.4

Total cost = 1.4/0.07 SInce 7% = 0.07

So, total cost = $20

Answer:

1. Ursula = y

2. Alma = y - 3 (3 meters behind)

3. Carly = y - 6 (3 meters behind Alma)

4. Lani = y - 8 (2 meters behind Carly)

5. Isabel = y - 10 (2 meters behind Lani)

6. Betty = y - 12 (2 meters behind Isabel)

Step-by-step explanation:

We are going to use different letters to represent the meters run by the girls:

Alma beat isabel by 7 meters, if A is x then Isabel is x - 7

A = x

I = x -7

Ursula beat  Betty be 12 meters. Let's call Ursula y, then:

U  = y

B = y - 12

Alma finished 5 meters ahead of Lani but 3 meters behind Ursula. Let's call Lani z.

L = z

A = z + 5 = y - 3 (since Ursula was "y" and Alma finished 3 meters behind Ursula)

We're going to leave Carly until the end since she finished halfway between the first and the last girls.

Now we can see that Alma is represented by equations with 3 different letters:

A = x = z + 5 = y -3

Therefore we know that

x = y -3

⇒A = y - 3

And we'll proceed to express all the other girls distances in terms of "y"

We know that Isabel = x - 7. Therefore we can substitute x = y - 3 and we get that

Isabel = x - 7 = (y - 3) - 7 = y - 10

⇒I = y - 10

We already have Ursula and Betty expressed in terms of y.

⇒U = y

⇒B = y - 12

Now let's go back to Alma equation (A = x = z + 5 = y -3) and we see  that:

z + 5 = y - 3.

Therefore z = y - 3 - 5 = y - 8.

⇒z = y - 8

We have Lani left who was L= z = y - 8

⇒ L = y - 8

The first girl would be Ursula = y

And the last girl would be Betty = y - 12.

⇒Therefore, Carly finished halfway them both and that would be C = y - 6

So, the order in which they arrived was:

Ursula = y

Alma = y - 3 (3 meters behind)

Carly = y - 6 (3 meters behind Alma)

Lani = y - 8 (2 meters behind Carly)

Isabel = y - 10 (2 meters behind Lani)

Betty = y - 12 (2 meters behind Isabel)

Please Mark as brainliest if i got it correct

Answer:

a. Kito has been billed correctly

Step-by-step explanation:

We simply need to check Kito's work to see if his price is accurate.

First, we can add the prices together to find the price before the sales tax is applied:  39.99 + 24.99 + 26.99 = $91.97

We can use this formula to figure out the total cost, C, after the sales tax, t is added:

C = l + (l * (t / 100)), where l = the price before applying the sales tax

C = 91.97 + (91.97 * (6 / 100)) = 97.4882 = $97.49

We know that the total cost lies between the 50 and 100 and that Kito chose the express shipping.  Thus we add:  97.49 + 8.20 = $105.69.

If we did not round before, we would still get the same answer when rounding:  97.4882 + 8.20 = 105.6882 = $105.69

Kito has not been charged enough for his purchase.

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we need to calculate the total cost of the purchase before shipping and taxes:

= $39.99 + $24.99 + $26.99

= $91.97

Next, we need to add the shipping cost based on the amount of the purchase:

Since the purchase amount is between $50 and $100, the express shipping cost is $8.20.

So the total cost of the purchase with shipping is:

= $91.97 + $8.20

= $100.17

Finally, we need to add the tax:

= 6% of $100.17

= $6.01

So the total amount Kito should be billed is:

= $100.17 + $6.01

= $106.18

And,

Since Kito was billed $105.69, he has been undercharged by $0.49.

Therefore,

Kito has not been charged enough for his purchase.

Learn more about expressions here:

https://brainly.com/question/3118662

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The area of the triangle is 2√5 square units

The formula for finding the area of a triangle is expressed as:

A = 0.5bh

b is the base

h is the height of the triangle

Using the distance formula

b = AC = √(5-1)²+(0-2)²

base =√20
base = 2√5

For the height

h = √(1-3)²+(4-4)²

base =√2²
base = 2

Area = 0.5(2)(2√5)

Area = 2√5 square units

Hence the area of the triangle is 2√5 square units

Learn more on area of triangle here: https://brainly.com/question/23945265

Answer:

(3, -1) is your answer

Step-by-step explanation:

x − 3y = 6

2x + 2y = 4
      |
x - 3y=6

x+y=2

Answer:

The bathroom measures 14 feet by 15 feet. They have 188 square feet of tile. Does the family have enough tile to cover their bathroom floor? Yes, they have enough tiles and will have 159 square feet of tiles left over.

Step-by-step explanation:

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Answer:

i think there is missing context?

Answer:

x = 8 - y

Step by step explaination:

==>x + y = 8

==> x = 8 - y

==> substract the value

==> Done