Which of the following examples has a unit rate of 50 miles per hour? Select all that apply

One cup can hold (A), you will need a total of 205.37 paper cups (B), and a total of 5 packages (C).

Let's calculate the volume of the cone:

V=1/3πhr²

V= 1.04 x 11 x 4 ^2 (diameter / 2 radius)

V= 1.04 x 11  x 16 = 184.30 cubic centimeters

Total of lemonade: 37850 cubic centimeters (10 gallons x 3785 cubic centimeters per gallon)

37850 / 184.30 = 205.37 cups

205.37 / 50 cups = 4.1 packages

However, as you need to buy complete packages, this can be rounded to 5 packages.

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Answer:

THE ANSWER IS........  I LOVE YOU!

Step-by-step explanation:

WHY: choose you every day, and I'm so lucky you choose me, too. You're my first thought every morning and my last thought before I go to sleep. You inspire a love in me that I never knew was possible

The statement using absolute value notation will be x - 78 ≤ 22.

The student will pass the test which scores 22 points for the number 78

Absolute values are any digit's value without taking the sign into an account. Therefore, all negative numbers will be regarded as positive for absolute value. The absolute value of -5, for instance, will be 5, whereas that of -7, will be 7.

In essence, the absolute value calculates the distance from zero. Putting an absolute value on something does not imply that they are the same number but that they are the same distance from 0.

Le the score of student be = x

Forming the absolute value notation -

This can be expressed as,

x - 78 ≤ 22.

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The z value for  a 97.8% confidence interval estimation is determined as 2.29.

The z value for  a 97.8% confidence interval estimation is calculated as follows;

The find the Z score, go to a Z lookup table which is found in a textbook or on an internet source. z table is created to give the possibility in a one-tailed analysis.

A confidence interval is a two-tailed examination,  in order to prepare the z score for 97.8%, look up the probability of 98.9%.

The value of 98.9% is

= (0.978 + 1 )/ 2

= 0.989 or 98.9%.

This implies that the z score of the date is 2.29.

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Answer:

K=45×0.7333

K=32.9985

The equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 +6.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

This is the required equation of a line in a point-slope form.

We know that Point-Slope Form:

y - y₁ = m(x- x₁)  

Where x₁ - x coordinate and y₁ - y coordinate

m - slope

Point (-4,8)

Then Slope m = -1/2

Now the equation as;

y - 8 = -1/2(x + 4)

y - 8 = -x/2 - 4/2

y - 8 = -x/2 - 2

y = -x/2 - 2 + 8

y = -x/2 +6

Hence we get the equation as y = -x/2 +6

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Answer:

x = 24.5

Step-by-step explanation:

First find angle G: 90 degrees

Then do 90 degrees minus 41: 49 degrees

Find 49 = 2x - 8

Do 49 + 8: 57

57/2 = x

X = 24.5

Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 1 kg/m³

The conversion value:

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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Answer:

21

Step-by-step explanation:

First at all you replaced:

8(5) + 5 - 2(12)

40 + 5 -24

21

Answer:

108,864

Step-by-step explanation:

The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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The cost of the croissant before the increase was $0.60 and the cost of the cup of coffee was $1.65.

Let's assume the original price of a croissant is C dollars, the original price of a cup of coffee is F dollars, and the original price of a fruit bowl is B dollars.

From the given information, we can set up the following equations:

C + F + B = 5.25 (equation 1) - Total cost of the three items before the increase is $5.25.

1.25C + 1.4F + B = 4.80 (equation 2) - Total cost of the three items after the increase is $4.80.

B = 3C (equation 3) - The cost of a fruit bowl is 3 times the cost of a croissant.

Now, let's solve the equations:

Substituting equation 3 into equation 1, we get:

C + F + 3C = 5.25

4C + F = 5.25 (equation 4)

Substituting equation 3 into equation 2, we get:

1.25C + 1.4F + 3C = 4.80

4.25C + 1.4F = 4.80 (equation 5)

We now have a system of two equations (equations 4 and 5) with two variables (C and F). Solving this system of equations will give us the values of C and F, which represent the original costs of the croissant and the cup of coffee, respectively.

By solving equations 4 and 5 simultaneously, we can find that C ≈ 0.60 and F ≈ 1.65.

Therefore, the cost of the croissant before the increase was approximately $0.60 and the cost of the cup of coffee was approximately $1.65.

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Answer:

64

Step-by-step explanation:

(-2(-4))^2

8^2

64

hope that helps

The height of the triangle ABE using similar triangles is 24cm

It states that f the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar. Thus, if ∠A = ∠B and AE/DC = AB/BD then ΔABE~ΔBCD

if two triangles are similar, then their corresponding angles are congruent.

if the height of ∆ABE is h , then the height of ∆BCD = 36-h

36-h/h= 10/20

multiply both side by 20h

720-20h= 10h

collect like terms

720= 30h

h= 720/30

therefore h= 24cm

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I hope that helped.............

-

Answer:

4km per hour

Step-by-step explanation:

$6208.86 amount should be put into an account that pays 5.2% annual interest compounded.

It is given that a student wants to save $ 8000 for college in five years having interest 5.2% annual interest compounded .

Putting \(A=\$8000 , \ r= 5.2\% , \ t=5 \ years\) in equation (1) , we get

  \(8000=P(1+\frac{5.2}{100} )^5\\\\8000=P(1+0.052)^5\\\\8000=P(1.052)^5\\\\8000=1.28848P\\\\P=\$6208.86\)

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Answer:

the answer that i found out was -5

Step-by-step explanation:

a - bc

= -2 - [ -1×(-3) ]

= -2 - 3

= -5

The digit that occurs the least frequently in the numbers between 1 and 1,000 is 9, which appears only 271 times.

To answer this question, we need to analyze the numbers between 1 and 1,000 and determine which digit occurs the least frequently. We can start by looking at each individual digit (0-9) and counting how many times it appears in each of the numbers in this range.
For example, the digit 0 appears 192 times in this range, while the digit 1 appears 301 times. We can continue this process for all of the digits and find that the digit that occurs the least frequently is 9, which appears only 271 times.
We can also note that this is not surprising since 9 is the largest single-digit number, and thus, it is less likely to appear in numbers between 1 and 1,000. Additionally, we can observe that the digits 0-8 all appear relatively evenly throughout this range, with each digit appearing between 271-305 times.
In conclusion, the digit that occurs the least frequently in the numbers between 1 and 1,000 is 9, which appears only 271 times.

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Answer:

855.298 m^3

Step-by-step explanation:

The volume of a cylinder equation is piR^2H.

So pi5.5^2×9

855.298 m^3

Answer:

Ix-y=6, Ly=x-4

Step-by-step explanation:

Answer: A

Step-by-step explanation b. would be in the negative section

c. Would be rashal

d.would be whole number

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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The variance of the length of the critical path is 5.76.

Option A is the correct answer.

We have,

To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:

Variance = (Standard Deviation)²

Given that the standard deviation is 2.4, we can substitute it into the formula:

Variance = (2.4)² = 5.76

Therefore,

The variance of the length of the critical path is 5.76.

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The probability of 45 heads in 100 tosses of a coin given the probability of heads is 50% is 7.1%.

The binomial probability formula is used to calculate the probability of getting a certain number of heads (or success) in a certain number of coin tosses (or trials) when the probability of getting a head (or success) in each individual coin toss is known. The formula is:

P(x) = (n choose x) * (pˣ) * (1-p)^(n-x)

Where,

P(x) is the probability of getting x heads (or success) in n coin tosses (or trials)

n is the number of coin tosses

x is the number of heads (or success)

p is the probability of getting a head (or success) in a single coin toss

1-p is the probability of getting a tail (or failure) in a single coin toss

(n choose x) is the binomial coefficient, which is the number of ways to choose x heads (or success) from n coin tosses (or trials)

In this case, the probability of getting 45 heads in 100 tosses of a coin with a probability of heads of 50% can be calculated using the formula: (100 choose 45) * (0.5⁴⁵) * (0.5⁵⁵) which is approximately 0.071, or 7.1%.

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Answer:

928/65

Step-by-step explanation:

They played 16 games each summer. 16 divided by 3.25 is 32/65. 29 runs is 928/65. Sorry I couldn't help you with much.

It might be wrong.

Answer:

2.5*10^5

Step-by-step explanation:

Answer:

2.5 * 10⁵ is the correct answer

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

\(\dfrac{1}{2}(10x+20y+10z)\)

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

\(\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)\)

\(=5x+10y+5z\)

Therefore, the required expression is 5x+10y+5z.