Sheryl paid a plumber x dollars per hour for a 6-hour job plus $70 for parts. The total charge was $325. Which equation can be used to determine how much the plumber charged per hour?

A. 6x - 70 = 325
B. 6x + 70 = 325
C. (70 + 6)x = 325
D. (70 - 6) x = 325

Answer:

Step-by-step explanation:

The midpoint is the average of the two points coordinates

mp=((x1+x2)/2, (y2+y1)/2)

We are given one endpoint and the mid point so

(3,2)=((-2+x)/2, (-5+y)/2)

So for x

3=(-2+x)/2

6=-2+x

x=8

For y

2=(-5+y)/2

4=-5+y

y=9

So the other endpoint is

(8,9)

The height of the building is 55 feet and can be determined using the mirror method.

To calculate the height of the building, we can use the concept of similar triangles. The distance from the mirror to the building is 40 feet, and the distance from you to the mirror is 4 feet. Since your height is similar to the height of the building, we can set up the following proportion:

(height of the building) / (distance from the mirror to the building) = (your height) / (distance from you to the mirror)

Let's substitute the given values into the proportion:

(height of the building) / 40 feet = 5.5 feet / 4 feet

To solve for the height of the building, we can cross-multiply and then divide:

(height of the building) = (5.5 feet / 4 feet) * 40 feet

(height of the building) = 55 feet

Therefore, the height of the building is 55 feet.

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Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8. Therefore, the correct options are B. 10 and E. 8.

To determine the possible values for the length of the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given sides of lengths 5 and 13, we can check which values satisfy the triangle inequality:

The sum of the lengths of the two sides must be greater than the length of the third side:

5 + 13 > Third side

18 > Third side

Now let's check each given value:

A. 2: Not possible, since 18 > 2 does not hold true.

B. 10: Possible, since 18 > 10 holds true.

C. 24: Not possible, since 18 > 24 does not hold true.

D. 5: Not possible, since the given length is already one of the sides.

E. 8: Possible, since 18 > 8 holds true.

F. 19: Possible, since 18 > 19 does not hold true.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8.

Therefore, the correct options are B. 10 and E. 8.

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El sistema de ecuaciones queda descrita por las siguientes expresiones:

\(a+c = 12\)

\(2\cdot a + 3\cdot c = 33\)

Donde \(a\) y \(c\) son las cantidades de autos y camionetas.

El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:

\(a+c = 12\) (1)

\(2\cdot a + 3\cdot c = 33\) (2)

Donde:

El sistema de ecuaciones queda descrita por las siguientes expresiones:

\(a+c = 12\)

\(2\cdot a + 3\cdot c = 33\)

Donde \(a\) y \(c\) son las cantidades de autos y camionetas.

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Answer: 150 square inches

Step-by-step explanation:

Set up the proportional ratios (convert feet to inches first):

30 ft = 360 inches (there are 12 inches in 1 foot)

20 ft = 240 inches (I'm assuming there is an error in the question and the width is 20 ft, NOT 20 inches!)

360/15 = 240/x

x is the width of the scaled down rectangle

solve for x:

360x = 3600

x = 10 in

Now calculate Area = length x width

A = 15 x 10 = 150 square inches

In a standard additions method workup the information from the linear regression that is most closely related to the unknown concentration is this:  the intercept of the linear regression line.

In the standard additions method workup, the information that is most closely related to the unknown concentration is the intercept of the linear regression line.

The reason why this is the case is that the intercept represents the y-value of the regression line where the line crosses the y-axis. This y-axis is the value of the dependent variable when the independent variable or concentration is zero. So, by solving for the intercept, we can determine the concentration of the unknown sample.

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Many people use relative location on a daily basis by using their mental maps of an area.

Relative location refers to the position of a place or object in relation to other landmarks or known locations. It involves understanding spatial relationships and navigating based on familiar references. Among the given choices, the best answer is "B. their mental maps of an area."

People often rely on their mental maps of an area to determine relative location. Mental maps are cognitive representations of familiar places, formed through personal experiences and observations. These mental maps help individuals navigate and understand the spatial relationships between different locations. By using their mental maps, people can estimate distances, find directions, and navigate based on familiar landmarks or known routes.

While the other options (coordinates on a GPS-enabled device, a location's exact address, and the Internet) can provide precise or specific location information, they do not capture the concept of relative location as directly as mental maps. Relative location is more about the spatial relationships between places and the ability to navigate based on one's understanding of the area, which is best represented by mental maps.

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Answer: j(x) = 1/3(10)^x+1 -2

Step-by-step explanation:

Plato

Answer:

3 pickles per burger lol

1:3

Step-by-step explanation:

Answer:

3:9

1:3

because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3

Christopher's distance from his starting point is 3.6 km

Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.

His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.

This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.

Since we have both the opposite and adjacent sides of a right-angled triangle,

From trigonometric ratios,

tanФ = opposite/adjacent

tanФ = x/5 km

Now Ф = 036º

So, tan36º = x/5km

x = 5 km(tan36º)

x = 5 km (0.7265)

x = 3.633 km

x ≅ 3.6 km to 1 decimal place.

So, Christopher's distance from his starting point is 3.6 km.

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Answer: 0.9961

Step-by-step explanation:

Given: Total choices to each question = 4

So, the probability that an answer is correct = \(\dfrac{1}{4}=0.25\)

Total questions = 20

i.e. n= 20

Let x be the binomial variable that represents the number of correct answers.

So, the probability that the student has at least 10 correct answers.

\(B(x=10;n=20, p=0.25)=\sum\limits_{i=0}^{x}(i;n=20,p=0.25)\)

\(=0.9961\)  [By using cumulative binomial table]

Hence, the probability that the student has at least 10 correct answers = 0.9961

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer:

3 beverages, 5 appetizers, 8 entrees, and 4 desserts.

Step-by-step explanation:

I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation: JUST DO IT

The area of the shaded portion of the given shape is: 114 yd²

The formula for the area of a rectangle is expressed as:

A = L * W

Where:

L is Length

W is Width

Now, to find the area of the shaded part, we will find the area of the bigger rectangle and subtract the area of the unshaded rectangle from it.

Thus:

Area of shaded part = (20 * 12) - (14 * 9)

Area of shaded part = 240 - 126

Area of shaded part = 114 yd²

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Answer:

-14b + 3k

Step-by-step explanation:

First we can divide the equation up:

(-8(b-k)) - (3(2b+5k))

Let's do distribution with the first parentheses:

-8b + 8k

Let's do distribution with the second parentheses:

6b+5k

Now we have:

(-8b+8k) - (6b+5k)

= -14b + 3k

The probability of 0.0475 is less than 0.05, so it is unlikely to happen. Hence, it would be unusual if less than 30% of the sampled teenagers owned smartphones.

a) Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45b) Find the probability that less than 45% of sampled teenagers own smartphonesc) Would it be unusual if less than 30% of the sampled teenagers owned smartphones?a)Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45We know that the proportion of teenagers aged 12-17 who own smartphones is 0.38. Now, we need to find the probability that the proportion of sampled teenagers who own smartphones is between 0.35 and 0.45.The sample size is 120.Let P be the probability that a teenager has a smartphone. The population mean is P = 0.38, while the standard deviation is σ =√((P (1 - P)) /n).P (0.38) and n (120) are given, so σ is calculated as follows:σ=√((P (1 - P)) /n) =√((0.38 (1 - 0.38)) /120) =√((0.38 × 0.62) /120) =0.048Now, let us define the Z scores for both sides, i.e. for 0.35 and 0.45.z1 = (0.35 - 0.38) /0.048 = -0.625z2 = (0.45 - 0.38) /0.048 = 1.458Hence, P(0.35 < p < 0.45) is equal to P(-0.625 < z < 1.458).The probability can be calculated using standard normal tables, which gives 0.5763. Therefore, the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45 is 0.5763.b) Find the probability that less than 45% of sampled teenagers own smartphonesLet P be the probability that a teenager has a smartphone. The population mean is P = 0.38, while the standard deviation is σ =√((P (1 - P)) /n).P (0.38) and n (120) are given, so σ is calculated as follows:σ=√((P (1 - P)) /n) =√((0.38 (1 - 0.38)) /120) =√((0.38 × 0.62) /120) =0.048Now, let us define the Z score as follows:z = (0.45 - 0.38) /0.048 = 1.458We must find the probability that a randomly selected teenager from the sample has less than 0.45 probability of owning a smartphone. This probability can be calculated using a standard normal table. P(z < 1.458) = 0.9265, thus, the probability that less than 45% of sampled teenagers own smartphones is 0.9265.c) Would it be unusual if less than 30% of the sampled teenagers owned smartphones?For this, we need to find the Z-score of 0.30.z = (0.30 - 0.38) /0.048 = -1.667The probability is obtained using a standard normal table. The probability is 0.0475. The probability of 0.0475 is less than 0.05, so it is unlikely to happen. Hence, it would be unusual if less than 30% of the sampled teenagers owned smartphones.

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The volume of the cylinder with the same radius and height as the cone is thus 157 cm³.

Volume is the quantity of space in a 3D object in arithmetic. A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which is six. As a result, the fish tank has a volume of 6 cubic feet. Volume is defined as the space occupied by an item inside the confines of three-dimensional space. It is also known as the object's capacity.

Here,

The volume of a cone with radius "r" and height "h" can be calculated using the formula:

V = (π * r³ * h) / 3

Since we know the volume of the cone, we can solve for "r" using the formula and then find the volume of a cylinder with the same radius and height:

V = (π * r² * h) / 3

525 = (π * r² * h) / 3

1575 = π * r² * h

r² = 1575 / (π * h)

The volume of a cylinder with radius "r" and height "h" can be calculated using the formula:

V = π * r²* h

Using the value of r² from above:

V = π * (1575 / (π * h)) * h

So, the volume of the cylinder with the same radius and height as the cone is 157.5 cm³, which is approximately 157 cm³ (rounded to the nearest whole number).

Therefore, the volume of the cylinder with the same radius and height as the cone is 157 cm³.

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Answer:

6ab + 8a² - 15b - 20a

Step-by-step explanation:

Expand by using FOIL method

4(2a-5) + 3b(2a-5)

4a(2a) + 4a × -5 + 3b × -5

Simplify terms

8a² - 20a + 6ba -15b

6ab + 8a² - 15b - 20a

SOLUTION:

We are told that;

Ricky is planning to buy a $23,000 car. He can afford to put down a 20% down payment.

The down payment would amount to;

Thus, the down payment is $4600

Answer:

\(y = \sqrt{7^{2} + 3^{2} }\)

D. 7.6

Step-by-step explanation:

y² = 7² + 3²

y² = 49 + 9

y² = 58

y = (58)^½

y = Rationalize(7.61577310586) ~ 7.6

Step-by-step explanation:

160 + 37x <= 900

37x <= 740

x <= 20

the custodian can move max. 20 boxes on the elevator at one time.

if he/she is always riding with the boxes.

if the custodian would climb the stairs and let the books ride alone, there could be

37x <= 900

x <= 900/37 = 24.32432432 ≈ 24

boxes on the elevator at one time.

Therefore, for every 100 meters climbed, the price increases by $12.

To determine the increase in price for every 100 meters climbed, we need to find the rate of change of the fee with respect to the distance climbed.

The fee for climbing d meters is given by the function F = 110 + 0.12d. To find the rate of change, we need to take the derivative of this function with respect to d.

dF/dd = 0.12

The derivative, dF/dd, represents the rate of change of the fee with respect to the distance climbed. In this case, it is a constant value of 0.12, which means that for every 1 meter climbed, the fee increases by $0.12.

To find the increase in price for every 100 meters climbed, we can multiply the rate of change by 100:

Increase in price = 0.12 * 100 = $12

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The variable assigned to strgrade when intscore equals 90 would likely be 'A'.

When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.

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Answer:

it’s years

Step-by-step explanation: