The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

Learn more about the Least Common Multiple in https://brainly.com/question/30060162

#SPJ1

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Learn more about algebraic expressions from:https://brainly.com/question/395066

#SPJ1

Answer:

0.43x250,000 = 107,500 teenagers.

Step-by-step explanation:

43% of students spend 1 hr on HW< and there are 25,000 students.

43% is basically just 43/100, so 0.43x250,000 is 107,500 students.

We can see here that option C is the correct option that gives us the percentage bar graph that best represents the data.

A bar graph, also called a bar chart, is a form of graph that uses rectangular bars of equal width to depict data. Each bar's height or length reflects the value or frequency of the data it conveys. Discrete or categorical data are frequently compared and analyzed using bar graphs.

We see that from the data given, the total number of students =

44 + 55 + 55 + 66 = 220

Reading = 44/220 × 100% = 20%

Sports =  55/220 × 100% = 25%

Video Games =  55/220 × 100% = 25%

Music = 66/220 × 100% = 30%

Thus, option C is the correct answer.

Learn more about bar graph on https://brainly.com/question/30243333

#SPJ1

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

for more such question on fraction visit

https://brainly.com/question/30122573

#SPJ8

Answer:the price elasticity of supply in this scenario is 2.

Step-by-step explanation:

Price Elasticity of Supply = (% Change in Quantity Supplied) / (% Change in Price)

In this case, we are given that there is a 20% change in price, resulting in a 40% change in supply. Let's plug these values into the formula:

Price Elasticity of Supply = (40% / 20%) = 2

Therefore, the price elasticity of supply in this scenario is 2.

Answer:

b because the overall problem has a little four witch makes all those numbers in the problem multiplied by 4

Step-by-step explanation:

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

the answer is 110

Step-by-step explanation:

660÷6=110.

3, 7, 4, 6, 5

First, find the mean.

Mean = Sum of the values / number of values

Mean = (3+7+4+6+5) /5 = 25/5 = 5

Then, find the variance:

Calculate each value difference from the mean

5-3 = 2

7-5 = 2

5-4= 1

6-5=1

5-5= 0

Square each difference, add them, and divide by the number of values.

Variance : (2^2+2^2+1^2+1^2+0^2 )/ 5 = (4+4+1+1) /5 = 10 /5 = 2

Standard deviation= square root of the variance:

√2 = 1.4

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ1

Answer:

m^2-m-6

Step-by-step explanation:

(m-3)(m+2)

m^2 +2m-3m-6

m^2-m-6

Answer:

m² - m - 6

Step-by-step explanation:

(m - 3)(m + 2)

each term in the second factor is multiplied by each term in the first factor, that is

m(m + 2) - 3(m + 2) ← distribute parenthesis

= m² + 2m - 3m - 6 ← collect like terms

= m² - m - 6

Answer:

A

Step-by-step explanation:

Point R is (1, 5).

The transformation (x + 1, y - 1) denotes a translation of one unit to the right and one unit downwards.

Simply add one to the x-coordinate and subtract one to the y-coordinate of R. Hence:

\(R'=((1)+1, (5) -1)=(2, 4)\)

Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:

\(R'=(3(2), 3(4))=(6, 12)\)

Our answer is A.

Answer:

Step-by-step explain

refer to the figure attached

The expression 4√72 can be simplified by first taking the square root of both sides, which gives us 2√72. Then, we can factor out a 6 from both sides, which gives us 24√6. Therefore, the simplified expression is 24√6.

Expression is the process of conveying one’s thoughts, emotions, ideas, and beliefs through speech, writing, art, or any other form of communication. Expression is a form of communication that allows people to express themselves in a way that is meaningful and personal to them. It is a powerful way for individuals to express their thoughts, feelings, and opinions without fear of judgement or criticism. Expression is an important part of self-expression, and it can be used to connect with others through shared experiences, to create a sense of community, and to grow and learn from one another. Expression is an invaluable tool for self-expression, creativity, and communication.

To learn more about expression
https://brainly.com/question/723406
#SPJ1

Answer:

running a two year contract is the best i have to do with my life in this world and it has a great way to go through the

Answer:

The 2nd one

Step-by-step explanation:

To evaluate -4.6+7+22+(-7.75) simplifying each term, -4.6+7 = 2.4, 2.4+22 = 24.4, 24.4+(-7.75) = 16.65 so the simplified expression is 16.65 which is a decimal.

A fraction is a mathematical expression that represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number) separated by a horizontal line.

Fractions can be simplified to their lowest form by dividing both numerator and denominator by their greatest common factor.

To evaluate the expression, we need to simplify each term and then add them together. The steps are as follows:

-4.6 + 7 = 2.4 (subtracting 4.6 from 7)

2.4 + 22 = 24.4 (adding 2.4 and 22)

24.4 + (-7.75) = 16.65 (adding 24.4 and -7.75)

So the simplified expression is 16.65.

To learn more about fraction, visit

brainly.com/question/78672

#SPJ1

Answer:

$983.45

Step-by-step explanation:

Given data

Principal= $700

Rate= 1.2%

Time= 3 years

The compound interest expression is given as

A= P(1+r)^t

A= 700(1+0.12)^3

A= 700(1.12)^3

A= 700*1.404928

A=$983.45

Hence the balance will be $983.45

Answer:

if the 3 is an exponent, then it is 4 bc 4 to the power of 3 is 64

Step-by-step explanation:

x3=64

Step 1: Take cube root.

x=(64)(13)

x=4

Answer:

x=4

The solution to the given system of equations is a = 6, b = 4.

The system of equations is given as follows:

a + b = 10  .....(i)

a - b = 2    .....(ii)

To solve this system of equations, we can use the method of elimination.

Adding the two equations, we get:

(a + b) + (a - b) = 10 + 2

2a = 12

a = 6

Substituting a = 6 into one of the equations, we get:

6 - b = 2

b = 4

Therefore, the solution to the system of equations is:

a = 6, b = 4.

Learn more about the solution to the equation here:

brainly.com/question/15272274

#SPJ1

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

For more such question on brand. visit :

https://brainly.com/question/29129317

#SPJ8

Answer:

D. The answer is D. He pays approximately $150 each month

Answer:

Step-by-step explanation:

321

The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

Learn more about defining functions here:

https://brainly.com/question/11624077

#SPJ1

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

Learn more about x-intercept click;

https://brainly.com/question/14180189

#SPJ1

Answer:

8

Step-by-step explanation:

The exponent is the top number, which in this case would be 8.

Answer:

169.83

Step-by-step explanation:

big brain

The graph of g(x) = f(x - 5) has a slope of 1 and the y-intercept is -5

A graph is a pictorial representation of data and the graph presented represents g(x) = f(x - 5) is attached

The graph shows a linear function written in the slope intercept form  form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Comparing the equation with the above we can see that

m = 1

y intercept, c

this is a point where the graph cuts the y axis

c = -5

Learn more about linear graphs at:

https://brainly.com/question/29334541

#SPJ1

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

We have,

Recall the trigonometric identities:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

tan(a - b) = (tan(a) - tan(b))/(1 + tan(a)tan(b))

Using these identities, we can find the exact values of the expressions given.

(a) Sin (α + β)

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)

= (√5/5)(-3/5) + (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 - 8/25

= (-6√5 - 8)/25

(b) Cos (α + β)

cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

= (2/5)(-3/5) - (√5/5)(-4/5) (using the values given for sin and cos)

= -6/25 + 4√5/25

= (4√5 - 6)/25

(c) Sin (α - β)

sin(α - β) = sin(α)cos(β) - cos(α)sin(β)

= (√5/5)(-3/5) - (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 + 8/25

= (-6√5 + 8)/25

(d) tan (α - β)

tan(α - β) = (tan(α) - tan(β))/(1 + tan(α)tan(β))

= ((√5/5) - (-4/5))/(1 + (√5/5)(-4/5)) (using the values given for sin and cos)

= (9√5/5)/(1 - 4/5√5)

= (-9√5 + 45)/4

Therefore,

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2