Miguel has three times as many dimes as he has quarters. He has as many nickels.as he has dimes and quarters.combined. The total amount of money he has is $3.00. How many of each coin does Miguel have?​

Answers

Answer 1

Answer:

Step-by-step explanation:

fter solving the algebraic equation, Miguel has 4 quarters, 12 dimes and 16 nickels.

What is algebra?

One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.

The number of quarters is taken to be x, then the number of dimes will be 3x, and the number of nickels will be 3x + x = 4x

$3.00 when converted to cents is 300 cents.

The value of nickels is 5 x 4x=20x.

The value of dimes is 10 x 3x=30x.

The value of quarters is 25x.

As the total value of money Miguel has is 300 cents, then the algebraic equation will be -

20x + 30x + 25x = 300

Solve to get the value of x -

75x = 300

x = 4

Therefore, the amount of quarters is x = 4 quarters.

The amount of dimes is x = 3x = 3 x 4 = 12 dimes.

The amount of nickels is 4x = 4 x 4 = 16 nickels.

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Related Questions

b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument.

Answers

Answer:

i wish i could help im sorry

Step-by-step explanation:

im

not

ok

Andy and Trevor share 40 sweets in a ratio 11: 9
How many more sweets does Andy receive than Trevor does?

Answers

Answer:

Step-by-step explanation:

no

Answer:

22:18

Step-by-step explanation:

In this case, firstly you have to add 11 and 9 together, which makes 20.

Then, 40 ( number of sweets ), divided by 20 gives us 2.

This means that every piece, or block, of our ratio will be 2.

Therefore, the last step is multiplying 11x2 and 9x2.

So, Andy has 22 sweets an Trevor has 18.

What is the coefficient of x² in 3x 5?

Answers

The coefficient of the variable x² in the expression 3x+5 is 0

Given that,

The expression is 3x+5

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x+5  is 0

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x+5  is 0.

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Rene makes $38,000 per year and pays about 35% of

his gross monthly income in federal and state taxes.

He wants to find an apartment to rent. Estimate how

much he can afford to pay for rent each month. Then

determine how much money he will have after taxes

and rent are paid.


PLEASE HELP

Answers

After the taxes and rent, the remaining amount in his gross pay is $5,700

The term gross income is defined as also known as gross pay when it’s on a paycheck is an individual’s total earnings before taxes or other deductions.

Here we have given that Rene makes $38,000 per year and pays about 35% of his gross monthly income in federal and state taxes.

And as we all know that If you live in a metropolitan city, your HRA is equivalent to 50% of your basic salary.

Therefore, the remaining amount in his hand is calculated as,

=> $38000 - [35% of income + 50% of income]

Here the 35% of income is

=> 38000 x 35/100

=> 380 x 35

=> 13300

Similarly, the 50 percent of the income is

=> 38000 x 50/100

=> 380 x 50

=> 19000

Then the remaining amount is calculated by apply the values on it, then we get,

=> $38000 - [$13300 + $19000]

=> $3800 - $32300

=> $5700

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What are the 7 steps in problem solving examples?

Answers

The 7 stepd in problem-solving examples are:

Step 1: Read through the problem

Step 2: Draw diagram

Step 3: Assign variable to each unknown

Step 4: Translate information into an equation

Step 5: Check the equation

Step 6: Use algebra rules to solve the equations

Step 7: Check the final answer.

We know that the word problems are required to translate the real world problem into mathematical terms.

Everything mentioned in the word problem is important.

The seven necessary steps in problem solving examples:

Step 1: Read the problem throughly

Step 2: Draw picture / diagram / arrow diagram related to example

Step 3: Assign an alphabate to each unknown value

Step 4: Translate information into an equation

Step 5: Check the types equation

Step 6: solve the equations using algebra rules

Step 7: Check the final answer.

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find the values of x, z and y

Answers

The values of x is 82° , z is 98°and y is 69°. in the given triangle.

Is the sum of all triangle angles always 180 degrees?

Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).

we know that the sum of angle of triangle = 180

so,

x+ 60 +38=180

x=180-8

x=82°

and also

x+z = 180

z= 98°

for value of y

13 + 98 +y = 180

y= 69°

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Which variation is represented by this situation:
Martha earns $375 when she works 5 hours. How much will she earn
if she works 12 hours? Is it direct variation or inverse variation?

Answers

Direct variation is represented by this situation and she earn $900

if she works 12 hours.

What are direct variation and indirect variation?

Direct variation describes a relationship whereby one measure directly affects the other when the first one changes. This is completely opposed by inverse variation. Learn the definitions of direct and inverse variations in this article, along with some instances that have been solved.

How do inverse and direct variations differ from one another?

When x is not equal to 0, y = kx is the equation that describes the linear function known as direct variation. An equation of the form xy = k, where x is not equal to zero and k is a nonzero real number constant, describes the nonlinear function known as inverse variation.

5 hours  = earns $ 375

1 hours = 375/5 = earns $ 75

12 hours  = 75  12 = earns $ 900

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Of the 6,960 balloons thrown in a water-ballon fight, 870 were red. At this rate, how many balloons out of 48 would be red? WRITE JUST THE ANSWER WITHOUT UNITS

Answers

At this rate, the ratio or proportion of red balloons to the total balloons, the number of red balloons out of 48 is 6.

What is proportion?

Proportion describes the two or more ratios equated to each other.

Proportions are depicted as fractional values in decimals, fractions, or percentages.

In this situation, we equate the ratio or proportion of red balloons to the sample to determine the number that will likely be red.

The total number of balloons thrown in a water balloon fight = 6,960

The number of the balloons that are red = 870

The proportion of the red balloons to the total = 0.125 or 12.5% (870/6,960)

In a sample of 48 balloons, the number of red balloons will be 6 (48 x 0.125)

Thus, out of 48 balloons, there are 6 red balloons at this constant rate.

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At which points are the equations y = x2 3x 2 and y = 2x 3 approximately equal?

Answers

The quadratic equations are approximately equals at the points (0.618,4.236) and (-1.618 , -0.236)

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                    The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. 

 we have

 y = x² + 3x + 2   .............(a)

 y = 2x + 3    ...................(b)

To solve the system of equations equate equation A to equation B

  x² + 3x + 2 = 2x + 3

 Group terms that contain the same variable

   x² + 3x + 2 - 2x - 3 = 0

  x² + x - 1 = 0

The formula to solve a quadratic equation of the form ax² + bx+ c  is equal to

     in this problem we have

       x² + x - 1 =0

 so,   a= 1

        b = 1

        c = -1

substitute in the formula

  x = -1 ± √1² - 4(1)(-1)/2(1)

  x = -1 ±√5/2

  x = -1+√5/2 = 0.618

   x = -1 - √5/2  =  - 1.618

  Find the values of y

 for  x = 0.618

    y = 2(0.618) + 3 = 4.236

  for  x = - 1.618

   y = 2(-1.618) + 3  = -0.236

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The complete question is -

At which points are the equations y = x2 + 3x + 2 and y = 2x + 3 approximately equal?

Write and solve an equation to find what fraction of the student f voted for fruit juice or water

Answers

If [tex]\frac{1}{4}[/tex] of fruit punch is pineapple juice. About [tex]\frac{1}{6}[/tex] of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .

The fraction of pineapple juice in fruit punch is = [tex]\frac{1}{4}[/tex] ;

the fraction of orange juice in fruit punch is = [tex]\frac{1}{6}[/tex] ;

the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is

⇒ [tex]Frcation Of (Pinapple Juice +Orange Juice)[/tex]

substituting the values ,

we get the equation as ;

⇒ [tex]\frac{1}{4} +\frac{1}{6}[/tex]

taking LCM as 4 and 6 as 12 and solving further  ,

we get ;

⇒ [tex]\frac{3}{12} +\frac{2}{12}[/tex] ; = [tex]\frac{5}{12}[/tex] .

Therefore , the fraction of fruit  punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .

The given question is incomplete , the complete question is

About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .

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what part of 3$ is the sum of 7 dimes, 1 nickel and 3 pennies?

Answers

Answer:

7/60

Step-by-step explanation:

First, we would need to add up all of the coins and know their values.

1 dime (d) = 10¢

1 nickel (n) = 5¢

1 penny (p) = 1¢

An equation we can use will look something like this:

(d × 7) + (n × 1) + (p × 3) =?

Now just add the numbers and solve.

(10 × 7) + (5 × 1) + (1 × 3) = 78

Therefore, the total amount is 78¢.

Now to figure out how much 78¢ is out of $3, we can use an equation that looks something like this:

3 ÷ 0.78 = 3.84615385 or 7/60

So, this means that with 7 dimes, 1 nickel and 3 pennies it is 7/60 of $3.

Use the diagram to find.. (Trigonometry)

Answers

Answer:

Step-by-step explanation:

b and f

Find out the answer to 4x+12=63

Answers

[tex]12 \frac{3}{4} [/tex]

or 12.75

Answer:

x=12.75

Step-by-step explanation:

Follow the steps within the image.

-Hope this helped

0.5- 2 2/5 = 1/2y +2.4 Please help! Find the value of y! Thanks!

Answers

The value of y, given the equation, can be found to be - 8 .6

How to find the value of y ?

To find the value of y, first convert the mixed fraction to a decimal for easier calculation :

2 ² / ₅ = 2 + 2 / 5

= 2 + 0. 4

= 2. 4

The equation then becomes :

0. 5 - 2.4 = 1 / 2 y + 2. 4

This can be rewritten as :

0. 5 - 2.4 = 1 / 2 y + 2. 4

0. 5 - 2 . 4 - 2. 4 = 1 / 2 y

1 / 2 y = - 4. 3

y = - 4. 3 / 1 / 2

y = - 8 .6

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What Is 8 1/8 - 4 3/8

Answers

Answer:

3 3/4 or 3 6/8

Step-by-step explanation:

hope this helps <3

a sample of a radioactive isotope had an inital mass of 130 mg in the year 2010 and decays exponentially over time. a measurmentin the year 2012 found that the samples masshad decayed to 80 mgwjat would be the expected mass of the sample in the year 2021 to the nearest whole number

Answers

The expected mass of the sample in the year of 2021 is given as follows:

9 mg.

How to define the exponential function?

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

a is the initial value.b is the rate of change.

The initial mass was of 130 mg, hence the parameter a is given as follows:

a = 130.

In two years, the mass decayed to 80 grams, hence the parameter b can be obtained as follows:

b² = 80/130

b = square root(80/130)

b = 0.78446454055.

This means that the exponential function for the mass of the sample in x years after 2010 is given as follows:

y = 130(0.78446454055)^x.

2021 is 11 years after 2010, hence the expected mass is obtained as follows:

y = 130(0.78446454055)^11

y = 9 mg.

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-8 5/9 = 4 2/3w
.............................

Answers

Answer:

w = -11/6

Step-by-step explanation:

-8 5/9 = 4 2/3w

-8 5/9  = -77/9

4 2/3 = 14/3

So, our equation is

-77/9 = 14/3w

Divided  both sides by 14/3

w = -11/6

if pam makes 250 dollars from making 15 pots, what is her piece rate?

Answers

Pam's piece rate is $16.67 for every pot she produces.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Pam's piece rate is the amount of money she earns for each pot she makes. In this case, she earned $250 for making 15 pots, so her piece rate is:

$250 ÷ 15 pots = $16.67 per pot

Therefore, Pam earns $16.67 for each pot she makes. This is a way of calculating her pay based on the number of units she produces, rather than by the hour.

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1. Marta walked 6 miles in 1.5 hours. At this rate how long will it take her to walk 16 miles?

2. Lionel typed 320 words in 4 minutes. At this rate, how long will it take him to type 800 words?

Answers

Answer for no.2: 800

Step-by-step explanation:

Select the correct answer. A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds of its travel. What is its average speed during the time from t

Answers

The speed of travel will be 4 m/s.

How do you find the distance traveled in the Nth second?

The formula for distance travelled in nth second is given by, Sn = u + a (n – ½).

The body's total distance travelled is equal to the sum of the 10 m it covered in the first five seconds and the 30 m it covered in the following five seconds. The total distance covered is 40 metres. This can be divided by the duration to determine the average speed. Therefore, the average speed is 4 m/s.

Total distance=10+30=40

speed=distance/time=40/10=4m/s

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There are 260 eighth grade students at South Whitenardh middle school. All right grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes. Write an equation to represent the total number of eight grade students

Answers

178 students taking a music class and 82 students taking an art class

There was no clear question, but I'm assuming you want to know how many students are enrolled in music and painting classes.

Let x= the number of children enrolled in art classes.

number of children enrolled in music classes: 2x + 14

The overall number of children will be 260, including all of these children.

x+2x+14 = 260

3x=246 x=82 pupils attend an art lesson.

To find people taking music classes, enter x to 2x+14.

2(82)+14 = 178

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The complete question would be;

There are 260 eighth-grade students at South Whitemarsh Middle School. All eighth-grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes.

1
Which line is pointing to the cell body?
A. 1
B. 2
C. 4
D. 5
2
3
4
5
Image by Dhp 1080

Answers

The line 2 is pointing towards the body of the cell, in the given image of a neuron.

What is cell body?

The soma, or cell body, is the spherical part of the neuron that houses the nucleus. The cell body is linked to the dendrites, which transport information to the neuron, and the axon, which sends information to other neurons.

When one neuron receives information from another, the dendrites send it to the cell body. Depending on the signal strength, the cell body may then send the information to the axon.

The cell body's role is to regulate all of the cell's functions. It has several important organelles that aid in this process. Organelles are tiny organelles found within cells that each perform a specific function. The nucleus is the most important organelle within the cell body.

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g(n)=-3n-4; Find g(-8)

Answers

Answer:

g(- 8) = 20

Step-by-step explanation:

substitute x = - 8 into g(x) , that is

g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20

Lara says that she can use this picture to show that two pairs of congruent angles and one pair of corresponding congruent sides is enough information to prove that two triangles are congruent. Is Lara correct

Answers

Yes, the information provided regarding the two pairs of congruent angles so one pair with corresponding congruent sides is sufficient to demonstrate the congruence of two triangles.

Define the term congruent triangles?

Congruent refers to things that are exactly the same size and shape.

When a triangle has precisely the same sides and precisely the same three angles, it is said to be congruent.These triangles are congruent if two pairs of comparable angles and the pairs of included sides are also congruent. The triangles are congruent if two pairs with corresponding angles and just a pair of non-included sides also are congruent.

For the stated question-

The following are the steps:

Due to a sequence of stiff motions, the triangles will line up precisely.Additionally, Lara is right only if the matching congruent side is situated halfway between the two angles.Angle Side Angle Congruceny, or "ASA" triangle congruceny, would be the case here.

Thus, the information provided regarding the two pairs of congruent angles so one pair with corresponding congruent sides is sufficient to demonstrate the congruence of two triangles.

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How many dollars will Ms. Davis have saved after 30 weeks?

Ms. Davis has $54. 50 saved

• She will save $33. 25 each week for the next 30 weeks

• She will not spend any of the money

Enter your response here:

Answers

$1052 is the total saving og Ms. Davis after 30 weeks from the given point .

Given that:

Inital saving of Ms. Davis = $54.50

Ms. Davis has already saved $54.50 and plans to save an additional $33.25 each week for the next 30 weeks. This means that she will be adding a total of $33.25 x 30 = $997.50 to her savings over the next 30 weeks.

If she does not spend any of the money she has saved, her total savings will be :

sum of Initial saving and saving after 30 weeks

$54.50 + $997.50 = $1,052.00.

so the total saving is $1052.

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Pleaseeee help asapppppp

Answers

Simplifying

0.75x + 1.2 = 0

Reorder the terms:

1.2 + 0.75x = 0

Solving

1.2 + 0.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.2' to each side of the equation.

1.2 + -1.2 + 0.75x = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0

0.0 + 0.75x = 0 + -1.2

0.75x = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2

0.75x = -1.2

Divide each side by '0.75'.

x = -1.6

Evaluating Linear Functions

Answers

The value of linear equations are  f(x) = -17 and f(x) = -73 .

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

Equation with two variables of degree one is referred to as a linear equation with two variables. Formal expression: ax+by+c=0, where a, b, c R & a, b 0.

A)

f(x) = -2x + 7 when x = -12

   f (x) = -2*12 + 7

          = -24 + 7

          = -17

f(x) = 5x - 13 when x = -14

       f(x) = 5*-14 - 13

             = -60 -13

             = -73

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n \triangle NOP,△NOP, \overline{PN}\cong \overline{OP}
PN

OP
and \text{m}\angle P = 50^{\circ}.m∠P=50

. Find \text{m}\angle O.m∠O.

Answers

The value of the measure of ∠O in the given triangle will be 65°

What is triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔNOP;

PN ≅ OP

So, ∠O = ∠N

And, Measure of ∠P = 50°

Now,

In the ΔNOP;

The sum of all the three angles are 180°.

The value of the measure of ∠O = x

We get;

∠O + ∠N + ∠P = 180°

Substitute ∠P = 50° and ∠O = ∠N = x we get;

x + x + 50 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

x = 65

Thus, The value of the measure of ∠O will be 65°.

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An equilateral triangle $ABC$ shares a common side $BC$ with a square $BCDE,$ as pictured. What is the number of degrees in $\angle DAE$ (not pictured)

Answers

30° =  angle DAE

                                     

Step-by-step explanation:                      

We have
ACD with angle ACD = 150°, and because CD = CA, angle CAD and ADC are equal, so angle CAD = [180 -150] / 2 = 30/2 = 15°.

 if we draw AE in ABE using the same process, angle EAB = 15°,
so CAB = 60° = angle =CAD + angle DAE + angle EAB

60   =  15  + angle DAE + 15

60  = 30 + angle DAE
30° =  angle DAE  

Triangle with an equilateral shape. An equilateral triangle is a triangle with all of its sides being the same length. An equilateral triangle, for example, has three sides equal to 5cm. Because the three sides are equal, the three angles opposite the equal sides are equal in size.  

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Please help I have a learning disablity and need help with this.
Please answer both parts
Find the product mentally. Show the steps you used.

4 x 5 1/8

Which one is correct
4(5) + 4 (1/8)
20 + 1/8
4 + 5 (1/8)
4 + 41/8

Answer here _______________

Find the product in the simplest form. Use your answer from question 1 when we rewrote it using the Distributive Property.

4 x 5 1/8

20 1/8
20 1/2
20/8
2 1/4

Answer here ______________

Answers

The product value of 4 x 5(1/8) is 4(5) + 4(1/8).

Option A is the correct answer.

The product value of 4 x 5(1/8) is 20(1/2).

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

= 20 + 1/2

= 20(1/2)

Thus,

4(5) + 4 (1/8) is the value.

20(1/8) is the value.

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108% of 75.5 is what number The primary role of financial accounting is to provide useful financial information to users who are ______ to the business enterprise. 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes in 25 minutes. donald trump won a razzie award for worst supporting actor for his cameo appearance in which film? Haba una vez un prncipe bellsimo. l viva en un castillo con sus padres, la reina y el rey. l no trabajaba y dorma muchas horas durante el da y la noche. what might be concluded from the description of the prince? he was active. he was busy. he had trouble sleeping. he was lazy. Knowledge of what would have enriched the experience of those who visited Gupta's Very Hungry God?A) Gupta's personal historyB) the controversy behind erecting the installationC) the Christian vanitas imageD) the story of the Seven SagesE) Hindu rituals and beliefs According to the triple bottom line, which of the following statements is NOT accurate? Multiple Choice O The term planet refers to the company's overriding legal obligation to incorporate protection of the environment into its mission O The term profit not only encompasses the profit earned for its shareholders but also the economic impact that the company has on society more generally. O The three dimensions of performance are often referred to in terms of the "three pillars" of people, planet, and profit. O The triple bottom line refers to three types of performance metrics: economic, social, environmental. O The term people refers to various social initiatives such as charitable contributions, serving endeavors, and engaging in broader philanthropic initiatives. 1. The South thought that it could win the war because a. it had skilled military men and could fight a defensive. b. Great Britain was on its side. c. cold weather in the North would make military training difficult. d. they could arm slaves and send them into battle first. 15) Lidocaine 2 gm/500 mL D5W is ordered to run at 3.5 mg/min. At what rate should the IV pump be set Which of the following industries would be most likely to use a job costing system?A. Commercial building constructionB. Food and BeverageC. ChemicalsD. Pharmaceuticals If someone is found to be participatingin Insider Trading, the result could beA. a promotionB. award-winningC. jail time What is the characteristics of Romanesque painting? Solve for x: -24 = 6x A drive-reduction theorist was taking a walk when he came across a hiker resting against the base of a tree. How would the theorist explain the hiker's nap Simple figures review a) 3.2 0.8 = ? please explain how you got it and b) 7.5 0.5 also please explain how you got it i'll give the brain thing This is a psychology writing prompt. It has to be 2-3 pages. Can someone please help me? This is worth a lot of my grade, picture is posted for what you need to do. A cat can run 30 miles per hour. At this rate, how many minutes would it take a car to run 1.5 miles? cause of supraventricular tachycardia? Greece is primarily covered in ____________________. Because of this, Greeks developed into independent city-states, or _________. ______________ developed as a democracy, while ___________ developed as an oligarchy (rule by the few) with a dual ___________. These city-states united to defeat __________ and King Xerxes, but afterwards entered into the _____________________ War with one another. This war weakened Greece, and eventually the entire _______________ Peninsula was conquered by King ____________ of Macedon. His son, _________________, would conquer most of the world and create _____________________ culture.