Four employees can wash 20 service vehicles in 5 hours. How long would it take 5 employees to wash the same number of vehicles?

Answer:

The least value is 2

Q1 is 3

Median is 6

Q3 is 8

Greatest value is 10

IQR is 6

Range is 5

Step-by-step explanation:

Answer:

4. Corresponding angles

5. alternative interior angles

6. Same-side interior angles

7. Supplementry

Step-by-step explanation:

I can't see the numbers so I can't solve for x. Sorry.

Answer:

Part A

Rahul by 3.6 km

Part B

The distance between A and D, through place C, d are;

The distance between A and D in meters, m = 44,500 m

The distance between A and D in centimeters, cm = 4,450,000 cm

The distance between A and D, in kilometers, km = 44.5 km

Step-by-step explanation:

Part A

The details of the journeys are;

The distance of A from B = 10.8 km

The distance of B from C = 15.5 km

The total distance Ramesh traveled, d₁ = The distance of A from B + The distance of B from C

Therefore;

d₁ = 10.8 km + 15.5 km = 26.3 km

The total distance Ramesh traveled, d₁ = 26.3 km

The distances of the journey of Rahul is as follows;

The distance between place A and D = 11.7 km

The distance between place D and C = 18.2 km

The total distance Rahul traveled, d₂ = The distance between place A and D + The distance between place D and C

d₂ = 11.7 km + 18.2 km = 29.9 km

The total distance Rahul traveled, d₂ = 29.9 km

Therefore, given that d₂(29.9 km) > d₁(26.3 km), Rahul travelled more distance than Ramesh

The difference between the distance Rahul travelled and the distance Ramesh travelled, d₂ - d₁ = 29.9 km - 26.3 km = 3.6 km

Therefore;

Rahul travelled more distance than Ramesh by 3.6 km

Part B

The total distance from place A to place D through place C, d₃, is given as follows;

d₃ = The distance from A to B + The distance from B to C + The distance from C to D

∴ d₃ = 10.8 km + 15.5 km + 18.2 km = 44.5 km

The total distance from place A to place D, d₃ = 44.5 lm

The total distance from place A to place D in meters, m = 1000 m/km × 44.5 km = 44,500 m

The total distance from place A to place D in cm = 100 cm/m × 44,500 m = 4,450,000 cm

Answer:

Step-by-step explanation:

Move all terms not containing

|

4

p

+

2

|

|

4

p

+

2

|

to the right side of the equation.

Tap for more steps...

9

|

4

p

+

2

|

=

27

9

|

4

p

+

2

|

=

27

Divide each term by

9

9

and simplify.

Tap for more steps...

|

4

p

+

2

|

=

3

|

4

p

+

2

|

=

3

Remove the absolute value term. This creates a

±

±

on the right side of the equation because

|

x

|

=

±

x

|

x

|

=

±

x

.

4

p

+

2

=

±

3

4

p

+

2

=

±

3

Set up the positive portion of the

±

±

solution.

4

p

+

2

=

3

4

p

+

2

=

3

Solve the first equation for

p

p

.

Tap for more steps...

p

=

1

4

p

=

1

4

Set up the negative portion of the

±

±

solution.

4

p

+

2

=

−

3

4

p

+

2

=

-

3

Solve the second equation for

p

p

.

Tap for more steps...

p

=

−

5

4

p

=

-

5

4

The solution to the equation includes both the positive and negative portions of the solution.

p

=

1

4

,

−

5

4

p

=

1

4

,

-

5

4

The result can be shown in multiple forms.

Exact Form:

p

=

1

4

,

−

5

4

p

=

1

4

,

-

5

4

Decimal Form:

p

=

0.25

,

−

1.25

p

=

0.25

,

-

1.25

Mixed Number Form:

p

=

1

4

,

−

1

1

4

p

=

1

4

,

-

1

1

4

Upgrade to Premium to get the steps o

The value of p for the given equation is p = 1/4 or p = -5/4.

Given is an absolute value equation.

We have to find the value of p.

Consider the equation given.

9|4p + 2| + 8= 35

Subtracting 8 from both sides, we get,

9|4p + 2| + 8 - 8 = 35 - 8

9|4p + 2| = 27

Dividing by 9 on both sides,

|4p + 2| = 27 / 9

|4p + 2| = 3

4p + 2 = ±3

Subtracting 2 from both sides,

4p = ±3 - 2

4p = 1 or 4p = -5

p = 1/4 or p = -5/4

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The probability of getting a sample mean grand prize of exactly 84 thousand dollars is 2/6, which reduces to 1/3.

The mean of the four grand prizes is (34+54+74+94)/4 = 64. Therefore, the probability of selecting two envelopes and receiving an average of exactly 84 thousand dollars is the same as the probability of selecting two envelopes and getting a sum of 168 thousand dollars (since the sum of two values divided by two is equal to their average).

There are six possible combinations of two envelopes, as stated in the question. To find the probability of getting a sum of 168 thousand dollars, we need to find the number of combinations that add up to 168. These combinations are (74,94) and (94,74). Therefore, the probability of getting a sample mean grand prize of exactly 84 thousand dollars is 2/6, which reduces to 1/3.

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The new volume of the prism after applying a scale factor of 1.75 to the dimensions is 2520 cubic inches.

To find the new volume of the prism, we need to apply the scale factor to all three dimensions (length, width, and height) and then find the product of the new dimensions.

Let's say the original dimensions of the prism are:

Length = L inches

Width = W inches

Height = H inches

Then, the new dimensions after applying a scale factor of 1.75 will be:

New length = 1.75L inches

New width = 1.75W inches

New height = 1.75H inches

The new volume will be:

New volume = (1.75L) x (1.75W) x (1.75H) cubic inches

New volume = 4.578125LWH cubic inches

We don't know the exact values of L, W, and H, so we can't calculate the new volume in cubic inches. However, we can use the answer choices to see which one matches the calculated formula.

Let's substitute the answer choices for the new volume and see which one matches:

a. 7717.5 cubic in = 4.578125LWH

b. 2520 cubic in = 4.578125LWH

c. 4410 cubic in = 4.578125LWH

d. 2262.6 cubic in = 4.578125LWH

The only answer choice that matches the formula is (b) 2520 cubic inches.

Therefore, the new volume of the prism after applying a scale factor of 1.75 to the dimensions is 2520 cubic inches.

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Answer:

30, 9, 15, 29

Step-by-step explanation:

Triangle 1, yellow

Triangle 2, blue

Triangle 3, green

Triangle 4, red

Answer:

c

Step-by-step explanation:

Based on the given information, the better predictor of a movie's Rotten Tomatoes score is the Metascore.

The standard error (se) value is used as a measure of the precision of the estimated coefficients in a linear regression model. A lower se value indicates a higher precision and suggests a stronger relationship between the explanatory variable and the response variable.

In this case, we have two linear regression models, one with the Metascore as the explanatory variable and the Rotten Tomatoes score as the response variable, and another with the total US box office sales as the explanatory variable and the Rotten Tomatoes score as the response variable.

Comparing the se values, we find that the se value for the model with the Metascore as the explanatory variable is 11, while the se value for the model with the total US box office sales as the explanatory variable is 22.

Since the se value for the model with the Metascore is lower, it indicates a higher precision in estimating the relationship between the Metascore and the Rotten Tomatoes score. Therefore, the Metascore is a better predictor of a movie's Rotten Tomatoes score compared to the total US box office sales.

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The cost price of the furniture is 2400 Ghana cedis, representing the original price before the 25% profit was added.

To find the cost price of the furniture, we need to work backward from the selling price. The selling price is given as 3000 Ghana cedis, which includes a 25% profit.

Let's assume the cost price is represented by 'x'. Adding a 25% profit to the cost price gives us 1.25x.

We know that the selling price is 3000 Ghana cedis, so we can set up the equation 1.25x = 3000 and solve for x.

Dividing both sides of the equation by 1.25, we find x = 3000 / 1.25 = 2400.

Therefore, the cost price of the furniture is 2400 Ghana cedis. This means that the furniture was originally purchased for 2400 cedis before the 25% profit was added.

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After transaction 3, the account balance is 143.

After transaction 4, the account balance is -86.

Transaction 5 has a transaction amount of 0.

What are debit and credit transactions?

A debit transaction takes place when money is taken out of an account and is denoted by a negative sign. A credit transaction happens when money is deposited from an account, and it is denoted by a positive sign.

What do the missing numbers represent?

Account balance after transaction 3 = 53 + 90 = 143

Account balance after transaction 4 = 143 - 229 = -86

Transaction 5's amount equals -86 plus 86, which equals zero.

The missing numbers are:

After transaction 3, the account balance is 143.

After transaction 4, the account balance is -86.

Transaction 5 has a transaction amount of 0.

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Answer:

x= 32

∠ABC= 79

∠ACB= 64

Step-by-step explanation:

To solve interior angles, remember that a triangle always sums up to 180 degrees. So, all the angles added together should equal to 180 degrees.

The equation would be: 2x+15+2x+37= 180

Step 1- Add common variables.

(2x+2x)+(15+37)= 180

4x+52= 180

Step 2- Subtract 52 to both sides.

4x+52= 180

   -52    -52

4x= 128

Step 3- Divide both sides by 4.

4x= 128

4     4

x= 32

Now that we know the value of x, substitute it into the angles.

∠ABC= 2(32)+15= 79

∠ACB= 2(32)= 64

Check          

Add all the angles together to make sure they sum up to 180 degrees.

79+64+37= 180

Hope this helps!

Answer:

X = 32, all values of specific interior angles are at the bottom

Step-by-step explanation:

First, gather info...

We know:

2x + 15 + 2x + 37 = 180˚

A = 37˚

Next...

4x + 52 = 180

Then...

4x = 128

After that...

x = 32

So now we know...

A = 37˚

B = 2*x

C = (2*x) + 15

and the x can be replaced with 32 so

A = 37˚

B = 2*32

C = (2*32) + 15

So finally the answer is...!

A = 37˚

B = 64˚

C = 79˚

The width of the rectangular walkway is 3 feet around.

The walkway has a uniform width around the rectangle.

Let the width of walkway be x

The total length of the garden and walkway will be (12+2x) feet

The total width of the walkway and garden would be (8+2x) feet

Area of the garden and the walkway together are 252 square

Let’s express this mathematically:

(8+2x)(12+2x) = 252

Let’s open the brackets;

96+ 16x+ 24x + 4x^2 = 252

4x^2 + 40x + 96 = 252

4x^2 + 40x + 96-252 = 0

4x^2 + 40x - 156 = 0

Let’s divide all through by 10. We have;

x^2 + 10x -39 = 0

X^2 +13x-3x-39 = 0

x(x + 13) -3(x+ 13) = 0

(x-3)(x + 13) = 0

x -3 = 0 or x + 13 = 0

x = 3 or -13

We ignore x = -13 since width cannot be negative in size

Therefore, the width of the rectangular walkway is 3 feet around.

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Answer:

It is moved 8 units left and 5 units down

y = \(\sqrt[3]{x+8}\) - 5

So vertical translation 5 units down and horizontal translation 8 units left

Answer:

Step-by-step explanation:

To calculate the rate of inflation, we can use the inflation rate formula:

inflation rate = ((new price - old price) / old price) x 100%

Using the given information, we have:

old price = $64.99

new price = $150.00

inflation rate = ((150.00 - 64.99) / 64.99) x 100%

inflation rate = (85.01 / 64.99) x 100%

inflation rate = 130.81%

Rounding the inflation rate to the nearest whole number, we get:

inflation rate ≈ 131%

Therefore, the rate of inflation from 1985 to today for a pair of Jordans is approximately 131%.

Answer:

In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.

I think it is right ...

The additional information is needed to prove the triangles congruent by ASA is  <  A ≅ < D

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Triangle congruent rules include

Angle - Side - Angle = ASA

Side - Angle - Side = SAS

Side -  Side - Side = SSS

Angle - Angle - Side = AAS

Hypotenuse and one leg = HL

The question is asking for the prove by Angle - Side- Angle = ASA to ensure that the triangles are congruent

In Angle - Side - Angle = ASA the two triangles being compared should have their two angles side by side to the Side used for the prove Or we say the two angles have the side included

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There is a enough information to determine whether the quadrilateral is a parallelogram

As we observe the quadrilateral the pairs of opposite sides in a parallelogram are parallel.

This means that they have the same slope and will never intersect, even if extended indefinitely.

The lengths of the opposite sides in a parallelogram are equal.

This property distinguishes a parallelogram from a general quadrilateral.

The pairs of opposite angles in a parallelogram are congruent.

This means that they have the same measure, making them equal in size.

The given figure is a parallelogram as it satisfies all the properties of parallelogram.

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Answer: c

Step-by-step explanation:

look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1

this answer gives you f(x)= -6 -1 which will give u a sum of -7

another one : f(x)= 3(0)-1

3 multiplied by 0 gives you 0 therefore you are left with -1

by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)

Answer:

103 is my answer.

Step-by-step explanation:

hope it helps

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

4 weeks

Step-by-step explanation:

First,, we should subtract the vacation price from her savings to get the base. That is 1835-1540=295. Then we can do 295/65,, and then we get 4  7/13. So,, she can only afford 4 weeks of these deductions in order to have enough money for her vacation.

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

19p+ 2

Step-by-step explanation:

I hope this helps :-)

Answer:

Step-by-step explanation:

5(2p+1)+3(3p-1)

5p + 3p + 2p + 3p =

                         13

Answer: 11x-27

Step-by-step explanation:

1- 3[2x-6+2] + 5(x-3)

2- 3[2x-4] + 5x-15

3- 6x-12+5x-15

4- 11x-27

This completes the inductive step.

By the principle of mathematical induction, we have shown that (cos(x) + i sin(x))^n = cos(nx) + i sin(nx) holds for all positive integers n.

To show that (cos(x) + i sin(x))^n = cos(nx) + i sin(nx) for any positive integer n, we can use the property of De Moivre's theorem.

De Moivre's theorem states that for any complex number z = r(cos(theta) + i sin(theta)), and a positive integer n:

z^n = r^n (cos(ntheta) + i sin(ntheta))

In this case, we have z = cos(x) + i sin(x) and we want to prove that:

(cos(x) + i sin(x))^n = cos(nx) + i sin(nx)

Let's prove this statement using induction.

Base case: For n = 1,

(cos(x) + i sin(x))^1 = cos(x) + i sin(x), which is true.

Inductive step: Assume that for some k ≥ 1, it holds that:

(cos(x) + i sin(x))^k = cos(kx) + i sin(kx)

Now, we need to show that it holds for k+1:

(cos(x) + i sin(x))^(k+1) = cos((k+1)x) + i sin((k+1)x)

Using the assumption and De Moivre's theorem, we have:

(cos(x) + i sin(x))^k * (cos(x) + i sin(x)) = (cos(kx) + i sin(kx)) * (cos(x) + i sin(x))

Expanding both sides using the distributive property of complex numbers:

(cos(x))^k (cos(x) + i sin(x)) + (i sin(x))^k (cos(x) + i sin(x)) = cos(kx) cos(x) + i cos(kx) sin(x) + i sin(kx) cos(x) - sin(kx) sin(x)

Simplifying further:

cos((k+1)x) + i sin((k+1)x) = cos(kx) cos(x) - sin(kx) sin(x) + i (cos(kx) sin(x) + sin(kx) cos(x))

Using the trigonometric identities: cos(A + B) = cos(A) cos(B) - sin(A) sin(B) and sin(A + B) = sin(A) cos(B) + cos(A) sin(B), we can rewrite the right-hand side as:

cos((k+1)x) + i sin((k+1)x)

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Answer:

4.0 kg and a velocity of -25m/s.

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer:

  9.99

Step-by-step explanation:

You want 9.99 rounded to the nearest hundredth.

The number you are given is already expressed to the precision you want, so nothing need be done.

  9.99 . . . . . the value you want

Ordinarily, the process of rounding numbers is used to reduce their precision. The digit to the right of the place being rounded to is examined. If it is 5 or more, then the digit in the place being rounded to is increased by 1. All digits to the right of the place being rounded to are dropped.

Example

  9.995 rounds to 10.00 when rounded to the hundredths place.

  9.994 rounds to 9.99 when rounded to the hundredths place.