Troy went to a Westwood Wasps basketball game on Saturday night. He paid $86.25 for a ticket to the game. He also had to pay for the 3 hours his car was parked in the parking garage. Troy spent a total of $99.

Which equation can you use to find the cost, x, for each hour Troy's car was parked in the garage?

The fractional part of the integer is represented by the place value after the decimal. The number 0.56, for example, is made up of 5 tenths and 6 hundredths.

This can also be written as 0.56 = 0.5 + 0.06. In other words, it means, 0.56 = 5/10 + 6/100.

To add decimals, align the decimal points such that all the digits are aligned according to their place values. Add like you would full numbers, starting on the right and working your way to the left. In the sum, align the decimal point with the decimal points in the values being added.

Decimals are one of the forms of numbers in Algebra that have a whole integer and a fractional part separated by a decimal point. The decimal point is the dot that appears between the full number and the fractions section. 34.5, for example, is a decimal number.

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The rate that Ashley is riding her horse in rounds per hour will be A. 49 rounds per hour.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Since Ashley is preparing for a horse riding competition and she has trained her horse for 5 hours and has completed 245 rounds.

The rate that Ashley is riding her horse in rounds per hour will be:

= 245 / 5

= 49 rounds per hour

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A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

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The value of x in the expression is bx-y/a

The expression is

Y= x(a+b)

remove the bracket

Y= ax + bx

ax= bx-y

divide both sides by the coefficient of x which is a

ax/a= bx-y/a

x= bx-y/a

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The energy transferred to any object by wrecking ball is proportional to force exerted on the object.

The law of conservation of energy states that energy can never be created nor destroyed but can be converted from one form to another.

The wrecking ball, have energy as a result of their motion and this energy is known as kinetic energy.

K.E = ¹/₂mv

where;

Based on the law of conservation of energy, when a wrecking ball hits another object, some of its kinetic energy will be transferred to the object while some of the kinetic energy will be converted into thermal energy.

The energy transferred to any object by wrecking ball is proportional to force exerted on the object.

K.E = force x displacement

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

Hannah and Vicky

Step-by-step explanation:

1/2 is the same as 2/4, 4/8, and 6/12

Gianna's distance was 5/12, which is less than 6/12 or 1/2

Hannah's distance was 5/8, which is greater than 4/8 or 1/2

Larisa's distance was 3/8, which is less than 4/8 or 1/2

Vicky's distance was 2/4, which is equal to 2/4 or 1/2

Answer:

y = 24

Step-by-step explanation:

Step 1:

y = - 6x        Equation

Step 2:

x = - 4        Given

Step 3:

y = - 6 ( - 4 )        Input x value

Answer:

y = 24

Hope This Helps :)

Answer:

Step-by-step explanation:

.125 for 1 button

6 dollars for 48 buttons

Solution

From the two equations

3y + x = 6 -----(1)

2y − x = 9 ------(2)

Adding (1) and (2)

=> 5y = 15

=> y = 3

when y = 3

=> 2(3) - x = 9

=> x = 6 - 9

=> x = -3

It is (−3, 3) and lies on both lines.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

i = $25

Step-by-step explanation:

Given:

i = prt

p = $50

r = 10%

t = 5 years

∴ i = 50 × \(\frac{10}{100}\) × 5 = $25

Answer:

the next is -2 × 5 = - 10

Step-by-step explanation:

the sequence is times 5

Step-by-step explanation:

a). x-5 = -4

⇛x = -5+5

Therefore, x = 0 = 1

b). -8x - 2 = -8

⇛-8x = -8-2

⇛-8x = -10

⇛x = -10÷-8

⇛x = 10/8

Therefore, x = 5/4

c). 3x + 26 = 5x

⇛3x -5x = -26

⇛-2x = -26

⇛x = -26÷-2

⇛x = -26/-3

Therefore, x = 26/3

d). 12 = 4(-17+ 5x)

⇛12 = -68 + 20x

⇛12 +68 = 20x

⇛80 = 20x

⇛x = 20/80

Therefore, x = 1/4

e). x = (3/4)x -2

⇛ x -(3/4)x = -2

Therefore, x = 6

f). 0.5x + 4.75 = 13

⇛0.5x = 13-4.75

⇛0.5x = 8.25

⇛x = 8.25/0.5

Therefore, x = 16.5

g). 127.5 = 12x+(60/8)

⇛127.5 = 12x + (30/4)

⇛-12x = (30/4) - 127.5

⇛-12x = (30/4) - (127.5/1)

⇛-12x = (30*1 - 127.5*4)/4

⇛-12x = (30- 510)/4

⇛-12x = -480/4

⇛-12x = -240/2

⇛-12x = -120

⇛x = -120/-12

Therefore, x = 10

h). (1/7)(-20-4x)=-4

⇛(-20-4x)/7 = -4/1

⇛1(20-4x) =7 (-4)

⇛20 - 4x = -28

⇛-4x = -28-20

⇛-4x = -8

⇛x = -8/-4

Therefore, x = 2

i). -18 = x - 12

⇛-18 + 12 = x

⇛-6 = x

Therefore, x = -6

j). -7(2/3) = 4x-9

⇛-(21+2)/3 = 4x - 9

⇛-(23/3) = 4x -9

⇛-(23/3) + 9 = 4x

⇛-(23/3) + (9/1) = 4x

⇛-(23*1 + 9*3)/3 = 4x

⇛(-23 + 27)/3

⇛(4/3) = 4x

⇛(4/3)÷4 = x

⇛(4/3) × (1/4) = x

⇛(4*1)/(3*4) = x

⇛4/12 = x

Therefore, x = 4/12

l). -6(2.5x + 8) = -123

⇛-15x -48 = -123

⇛-15x = -123+ 48

⇛-15x = -75

⇛x = -75/-15

Therefore, x = 5

m). -19x = 100 + x

⇛-19x - x = 100

⇛-20x = 100

⇛x = 100/-20

Therefore, x = -5

n). 0.2x - 0.5 = 1.2

⇛0.2x = 1.2 + 0.5

⇛0.2x = 1.8

⇛x = 1.8/0.2

Therefore, x = 4

o). (-2)² - 3x = -17

⇛(-2*-2) - 3x = -17

⇛4 - 3x = -17

⇛-3x = -17-4

⇛-3x = -21

⇛x = -21/-3

Therefore, x = 7

p). -(1/2)x -(4/5) = 19/4

⇛-(1/2)x = (19/4) + (4/5)

Take the LCM of the denominator 4 and 5 is 20.

⇛-(1/2)x = (19*5 + 5*4)/20

⇛-(1/2)x = (95 + 16)/20

⇛-(1/2)x =111/20

⇛x = (111/20) + (1/2)

Again take the LCM of the denominator 20 and 2 is 20.

⇛x = (111*1 + 1*10)/20

⇛x = (111 + 10)/20

⇛x = (121/20)

Therefore, x = 121/20

q). (x/8) + 2 = 1/4{(5/16) + 8}

⇛(x/8) + 2 = (5/64) + 2

⇛(x/8) + 2 = (5/64) + (2/1)

Take the LCM of the denominator 1 and 64 is 64 in RHS.

⇛(x/8) +2 = (5*1 + 2*64)/64

⇛(x/8) + 2 = (5 + 128)/64

⇛(x/8) + 2 = 133/64

⇛x/8 = (133/64) - 2

⇛x/8 = (133/64) - (2/1)

Take the LCM of the denominator 1 and 64 is 64 in RHS.

⇛x/8 = (133*1 - 2*64)/64

⇛x/8 = (133 - 128)/64

⇛x/8 = 5/64

On applying cross multiplication, then

⇛x(64) = 8(5)

⇛64x = 40

⇛x = 40/64

⇛x = (40÷4)/(64÷4)

⇛x = 10/12

⇛x = (10÷2)/(16÷2)

Therefore, x = 5/8

r). -6 = -3{(1/7)x + (4/14)}

⇛-6 = -(3/7)x -(6/7)

⇛-6 + (6/7) = -(3/7)x

⇛-(6/1) + (6/7) = -(3/7)x

Take the LCM of the denominator 1 and 7 is 7 in LHS.

⇛(-6*7 + 6*1)/7 = -(3/7)x

⇛(-42 + 6)/7 = -(3/7)x

⇛-(36/7) = -(3/7)x

On applying cross multiplication, then

⇛7(36) = 21x

⇛252 = 21x

⇛252/21= x

⇛12 = x

Therefore, x = 12

s). (1/4)x = 11/4

⇛x = (11/4) - (1/4)

⇛x = (11-1)/4

⇛x = 10/4

⇛(10÷2)/(4÷2)

Therefore, x = 5/2

t). x - (-3) = 9

⇛x + 3 = 9

⇛x = 9-3

Therefore, x = 6.

Please let me know if you have any other questions.

Suction

ule hash

x(u,v) = u Y(UN) = =-4V

Therefore

DT (u,v) = av วง DT (UN) = [ㅎ]

Thus,

J (u,v) = det DT (u,v) = |: 1

J(u,v) = -4

here is response J(u,v) = -4

Common synonyms for response include response, rejoinder, rejoinder, and rejoinder. All of these words mean ``speak, write, or something in return,'' but the response may mean a quick or spontaneous response to someone or something that acts as a stimulus.

text A reply is a writing style that expresses your reaction to something. It's your chance to let the world know you're thinking about something. Text response is also called reader response, which is correct, but is sometimes confused with read-and-write narrative.

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Answer:

531,441

Step-by-step explanation:

3^2=9

9^6=531,441

Answer:

\( \sqrt{ {2}^{6 } } = 27 if thats what you meant here is another answer{ {2}^{6} = 64\)

Answer:

see below

Step-by-step explanation:

1.

Adam's prediction can be modeled as:

P = 12500 x 1.02^n,   where P is the population and n is the number of years.

When n = 7:   P = 12500 x 1.02^7 = 14358.57085

Marcia's prediction can be modeled as:

P = 12500 + 600n,   where P is the population and n is the number of years.

When n = 7:  P = 12500 + 600 x 7 = 16700

Therefore, Marcia's model will result in a larger population 7 years from now as 16700 > 14358

2.

At n = 79

Adam's model predicts a population of: 59748.02887

Marcia's model predicts a population of: 59900

At n = 80

Adam's model predicts a population of: 60942.98945

Marcia's model predicts a population of: 60500

Up to year 79 Marcia's model predicts a higher population than Adam's model.  However from year 80, Adam's model predicts a higher population that Marcia's.

(see attached graph for proof)

3.  

Adam's model when n=50:  

P = 12500 x 1.02^50 = 33644.85036

Marcia's model when n=50:  

P = 12500 + 600 x 50 = 42500

Actual population when n=50:  35400

Difference between Adam's prediction and actual population:  

35400 - 33644.85036 = 1755.149637

Difference between Marcia's prediction and actual population:  

42500 - 35400 = 7100

Therefore, Adam's model gets closer to the actual population of 35400 as 1755.149637 < 7100

4.   35400 = 12500 + 50d, where d is the predicted growth each year

subtract 12500 from each side:  22900 = 50d

divide both sides by 50:                   458 = d

Therefore, Marcia's new model assuming that the population will be 35,400 in 50 years is:  P = 12500 + 458n

The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.

Answer:

c = 4,9

d = 4,6

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

The area of the regular octagon is approximately 408.5 square cm.

To find the area of a regular octagon with an apothem of 11.1 cm and each side measuring 9.2 cm, follow these steps:

1. Recall that the area (A) of a regular polygon can be calculated using the formula: A = (1/2) * perimeter (P) * apothem (a).

2. Find the perimeter of the octagon by multiplying the side length by the number of sides: P = 9.2 cm * 8 = 73.6 cm.

3. Substitute the values for the perimeter and apothem into the formula: A = (1/2) * 73.6 cm * 11.1 cm.

4. Calculate the area: A ≈ 408.48 square cm.

To the nearest tenth, the area of the regular octagon is approximately 408.5 square cm.

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Answer:

a) $26

b) 24.07%

c) $94.3

Step-by-step explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = $26

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

\(\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%\)

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = $94.3

Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes

Answer:

Step-by-step explanation:

we can find the equations for both lines and analyze after

\(y = mx + b\\where\\m = \frac{y_2-y_1}{x_2-x_1}\\\\\)

AB:

\((12, 3), (-3, 9)\\m = \frac{9-3}{-3-12} = \frac{6}{-15} = \frac{-2}{5}\)

\(y = \frac{-2}{5}(x) + b\\3= \frac{-2(12)}{5} + b\\3 = \frac{-24}{5} + b\\b = \frac{39}{5} \\y = \frac{-2}{5}(x) + \frac{39}{5}\)

CD:

\((-6, 4) (-2, -6)\\m = \frac{4-(-6)}{-6-(-2)} = \frac{10}{-4} = \frac{-5}{2} \\y = \frac{-5}{2}(x) + b\\4 = \frac{-5(-6)}{2} + b\\4 = 15 + b\\b = -11\\y = \frac{-5}{2}(x) - 11\)

Determining whether two lines are parallel or perpendicular involves looking at their slopes. AB has a slope of -2/5, CD has a slope of -5/2. Since these are not equal (not parallel) and not negative reciprocals of each other (not perpendicular), the lines are neither perpendicular or parallel.

Answer:

Step-by-step explanations:

A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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Answer:

19.0% (1dp)

Step-by-step explanation:

$625-$525=$100

$100/$525=4/21×100=19.0% (1dp)

Answer:

the answer is. The answer is

57

Step-by-step explanation: