reported the results of a study on the occurrence of sodium and chloride in surface streams in central rhode island. the following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage).

The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

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Answer:

099 787 989

Step-by-step explanation:

Here goes the answer. Hope it helps you.

Answer:

Step-by-step explanation:

2.5

The scientific notation of Pill's mass 5 × 10⁻³ g.

And, In milligrams, The pill's mass is 5.0 milligram.

Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.

Given that;

A pain-relieving pill has a mass of 0.005 g.

Now, We can write the mass in scientific notation as;

⇒ 0.005 g

⇒ 5 × 10⁻³ grams

And, We can write the pill's mass in milligram as;

Since, 1 g = 1000 milligram

Hence, We get;

⇒ 0.005 g = 0.005 × 1,000 milligrams

                = 5.0 milligrams.

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Complete question:

A student throws a heavy ball downward off the top of a building with a speed of 18m/s. The ball reaches a speed of 41m/s just before striking the ground. Neglect drag, find the height of the building.

Answer:

The height of the building is 69.235 m

Step-by-step explanation:

Given;

initial velocity of the ball, u = 18 m/s

final velocity of the ball, v = 41 m/s

The height of the building is equal to distance traveled by the ball downward.

Apply the following kinematic equation;

v² = u² + 2gh

where;

g is acceleration due to gravity

h is height of the building

41² = 18² + 2(9.8)h

1681 = 324 + 19.6h

19.6h = 1681 - 324

19.6h = 1357

h = 1357 / 19.6

h = 69.235 m

Therefore, the height of the building is 69.235 m

The youngest age for which the average income of a lawyer is $275,000 is 27.91 year.

Quadratic Equation helps solve quadratic equations. First, put the equation into the form ax²+bx+c=0. where a, b, and c are the coefficients. Then plug these coefficients into the equation.

(-b±√(b²-4ac))/(2a) . See examples of solving various equations using formulas

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:

I = - 425x² + 45500x - 650000 .......... (1)

If the average annual income of the lawyer at the age of x years is $275000, then from the equation (1) we can write

- 425x² + 45500x - 650000 = 250000

I=-425x^(2) + 45,500x-650,000

275000 = -425x^(2) + 45,500x-650,000

-425x^(2) + 45,500x -650000-275000=0

425x^(2) -45,500x +925000=0

x = 900/17 ± 10√(1810)/17

= 77.96 and 27.91

here we are not accepting the ans 77.96 because we have already less value which is 27.91 so final ans will be 27.91

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Answer:

The first mechanic charges $45/hour while the second mechanic charges $50/hr

Step-by-step explanation:

X = rate of first mechanic

Y = rate of second mechanic

X + Y = 95 --->   Y = 95 - X

20X +5Y = 1150

Substituting the first equation into the second,

20X + 5(95 - X) = 1150

20X +  475 - 5X = 1150

15X + 475 = 1150

15x = 1150 - 475

15x = 675

X = 675/15 = 45 --> y = 95 - 45 = 50

CHECK: Plugging these results into the second equation:

                 20*45 + 5*50 = 900 + 250 = 1150

YES! Success! It checks!

So the first mechanic charges $45/hour while the second mechanic charges $50/hr! :)

To find the number of tokens Camilia collected, we can use the given formula:

p = 20x + 45, where p is the prize money and x is the number of tokens collected.

Substituting the given values, we get:

8365 = 20x + 45

Solving for x, we get:

x = 416

Therefore, Camilia collected 416 tokens.

The formula for calculating the prize money on a game show about collecting tokens is given as p=20x+45, where x represents the number of tokens collected by a contestant and p represents their prize money. If a contestant on the game show collected 150 tokens, we can plug in x = 150 into the formula to find their prize money: p = 20(150) + 45 = 3000 + 45 = $3045. Therefore, a contestant who collected 150 tokens would win $3045 according to the given formula.

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Answer:

I think the first one is the answer

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Answer:

A)False

B)False

C)False

Answer:

A)False

B)False

C)False

Answer:

5 x 9 is 45

Step-by-step explanation:

just is loll

Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{3}\) (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Answer:

9. 3 acute angles

10: a) Acute Isosceles

     b) Acute Scalene  

Step-by-step explanation:

9:  Sum of Interior angle theorem: Sum of the interior angles of a Triangle = 180°

An Acute angle is a angle that is less than 90°

the sum of the two acute angles must be less than 180°

The base angles of an isosceles triangle are congruent.

So For example,

the base angles of the isosceles are ∠1 and ∠2

Lets make the three angle measure closer:

if ∠1 = 46° then ∠2 also have to be 46° and ∠3 = 88°

all three angle are less than 90° and two angles are congruent.

Answer:

0.3(25)

Step-by-step explanation:

I hope this helps!

As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.

Confidence interval,

in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Given,

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.

Here we need to find the given statement is true or false.

While we looking into the given question, we have identified that the value of

Confidence interval = 95%

Sample size = 20

Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

Therefore, the statement is in correct.

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Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

200 CDs

Step-by-step explanation:

1000 g = 1 kg

2 kg = 2000 g

2000 / 10 = 200 CDs :D

why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

Answer:

Step-by-step explanation:

I think you are correct. The bottom of the drawing has to have a width or someway of finding it. Also the breakup of the height needs some sort of clue where that breakup occurs.  I think you likely have to ask your instructor.

Answer:

$26.16

Step-by-step explanation:

Since it says "A grey umbrella costs $8 plus $0.72 in taxes"that means a grey umbrella costs $8.72.So you have to do $8.72 * 3 which equals,$26.16

hope this helped!

Answer:

Respuesta. Respuesta: El Teorema de Pitágoras sirve para resolver una multitud de problemas; por ejemplo de, cálculo de distancias en el plano, en los mapas, en la realidad. ... En general, el Teorema de Pitágoras se puede utilizar para hallar longitudes en donde intervienen triángulos rectángulos.

Answer:

the 2nd one

Step-by-step explanation:

i took the test

Answer:

\(V = 208\,u^{3}\) (Option C)

Step-by-step explanation:

The volume of the composite figure is:

\(V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)\)

\(V = 208\,u^{3}\) (Option C)