Reduce to simplest form
3/2 + ( -6/5 ) = ? MATH!!

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

Answer:

20, 24

Step-by-step explanation:

Each term is 4 more than the one before it.

To obtain the next term add 4 to the previous ter, that is

16 + 4 = 20

20 + 4 = 24

The next 2 terms are 20, 24

Answer: i,20 k,24

Step-by-step explanation: each time the number increases by 4 and the letter increases by 2, hope this helps!

The probability of winning the minimum award is 1/16,448.

To calculate this probability, follow these steps:

1. Find the total number of ways to pick two white balls from 58: C(58,2) = 58!/(2!(58-2)!) = 1,653.

2. Find the total number of ways to pick one gold ball from 44: C(44,1) = 44!/(1!(44-1)!) = 44.

3. Multiply the number of ways to pick two white balls and one gold ball: 1,653 * 44 = 72,732.

4. Calculate the total number of possible combinations: 58 * 57 * 56 * 55 * 44 = 1,195,084,680.

5. Divide the number of successful combinations by the total number of combinations: 72,732 / 1,195,084,680 = 1/16,448.

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Answer: 4 1/2 hours

Step-by-step explanation:

if it takes luke 3 hours to drive 150 miles that means in 6 hours he would have driven 300 miles.

he drives 50 miles per hour

so 250 miles is 4 1/2

Answer:

3 rd one

Step-by-step explanation:

i am tot sure if it is but i think it is

a) There are 6 possible samples. b) The population mean is 23.5 and Distribution of Sample Mean is 23.5.

To find all samples of size 2 from the given population, we can select two values at a time without replacement. Let's list all the possible samples and compute the mean of each sample:

Sample 1: {32, 12}

Mean: (32 + 12) / 2 = 22

Sample 2: {32, 34}

Mean: (32 + 34) / 2 = 33

Sample 3: {32, 16}

Mean: (32 + 16) / 2 = 24

Sample 4: {12, 34}

Mean: (12 + 34) / 2 = 23

Sample 5: {12, 16}

Mean: (12 + 16) / 2 = 14

Sample 6: {34, 16}

Mean: (34 + 16) / 2 = 25

Next, let's compute the mean of the distribution of the sample mean and the population mean:

The population mean is the mean of the entire population, which is calculated by summing all the values and dividing by the total number of values:

Population Mean = (32 + 12 + 34 + 16) / 4 = 94 / 4 = 23.5

To find the mean of the distribution of the sample mean, we calculate the mean of the means of all possible samples. Since we have 6 samples, we sum the means of all samples and divide by the total number of samples:

Distribution of Sample Mean = (22 + 33 + 24 + 23 + 14 + 25) / 6 = 141 / 6 ≈ 23.5

Comparing the mean of the distribution of the sample mean (approximately 23.5) with the population mean (23.5), we can observe that they are equal. This is expected because the mean of the distribution of the sample mean is an unbiased estimator of the population mean when the samples are selected randomly and without replacement.

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Step-by-step explanation:

Angles whose sum is 90° .

For ex - 30° and 60°

Answer/Step-by-step explanation:

Complementary angle is two angle that add up to 90 degree.

Complementary angle also put together form a right angle.

ex:

To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°.

Based on the distance that Pacman traveled for every 6 seconds, and the distance being proportional to time, the Constant of Proportionality is 3.

The Constant of Proportionality shows how the quantity of a variable increases of decreases as the quantity of another related variable increases or decreases as well.

In the distance traveled by Pacman, the constant of proportionality can be found by the formula:

= Distance traveled / Time traveled

= 18 feet / 6 seconds

= 3 feet per second

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The integer that represents this change is -5.

We have,

The change in temperature is represented by the difference between the temperature before and after the storm.

In this case,

The temperature dropped, which means it decreased.

The integer that represents the change in temperature is negative because it indicates a decrease or a loss.

In particular,

The integer that represents a decrease of 5 degrees is -5.

Therefore, if the temperature before the storm was, for example, 20 degrees, the temperature after the storm would be 20 - 5 = 15 degrees, which is 5 degrees lower.

Thus,

The integer that represents this change is -5.

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Answer:

what's your questions

Answer:

Hi, there the answer is Company A

Step-by-step explanation:

The number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.

The number of ways to choose 3 hearts from the 13 available hearts is given by the binomial coefficient C(13,3). The number of ways to choose 2 diamonds from the 13 available diamonds is given by C(13,2). The total number of ways to choose 3 hearts and 2 diamonds from the deck of 52 cards is the product of these two binomial coefficients: C(13,3) * C(13,2).

i.e.

There are 13 hearts and 13 diamonds in a deck of 52 cards.

To choose 3 hearts, we have C(13,3) = 13!/(3!(13-3)!) = 286 ways.

To choose 2 diamonds, we have C(13,2) = 13!/(2!(13-2)!) = 78 ways.

Therefore, the number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.

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Yes, monotone is a sequence.

We say that a sequence (xn) is increasing if xn ≤ xn+1 for all n and strictly increasing if xn < xn+1 for all n.

Similarly, we define decreasing and strictly decreasing sequences. Sequences which are either increasing or decreasing are called monotone.

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Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

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Answer: -7<3

Step-by-step explanation:

3 is more than negative 7

Answer:

3×11

Step-by-step explanation:

3(2+9)

=3(11)

=33

33 can thereby be written as 33 = 3 × 11. Thus, the prime factors of 33 are 3 and 11.

The value of expression 3(2 + 9) is 33 whose prime factor is 3,11 thus we can rewrite it as 3 × 11.

The number system is a way to represent or express numbers.

A prime number is the set of that number whose is only divisible by either itself or 1.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Given the expression,3(2+9)

3(11) = 33

The prime factor of 33 will be the prime number which will be divisible by either number itself or by 1 thus prime factor will be 3,11

33 = 3 × 11

Hence "The value of expression 3(2 + 9) is 33 whose prime factor is 3,11 thus we can rewrite it as 3 × 11".

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To find the nonpermissible replacement for y in the expression;

The nonpermissible replacement for y is the replacement for y at which the denominator of the expression is zero. (when the denomenator is zero, the final value can not be determined).

For the given expression, the denomenator is;

For y to be nonpermissible, the denometor must be equal to zero.

To get y, add 1 to both sides.

At y =1, the expression becomes;

Therefore, the nonpermissible replacement for y in the given expression is;

The missing parts of the table for the function are 16, 1/4 and 16

From the question, we have the following parameters that can be used in our computation:

The function equation and the incomplete table of values

This is given as

y = 4ˣ

From the table, the missing values are at

x = -2, x = 1 and x = 2

So, we have

y = 4⁻² = 1/16

y = 4⁻¹ = 1/4

y = 4² = 16

Hence, the missing parts of the table for the function are 16, 1/4 and 16

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The cost of one taco at Terrific Tacos is $3.45. To calculate this, we can start by finding the total cost for all tacos purchased.

5 tacos purchased by Randy cost $17.25, and 7 tacos purchased by Jeff cost $24.15. This brings the total cost for all tacos to $41.40. Then, we can divide this total cost by the total number of tacos purchased (12) to get the cost of one taco:

To calculate this, it is important to remember that the total cost of both orders is the sum of Randy's cost and Jeff's cost. This is because both orders were placed at the same restaurant. Then, the total cost needs to be divided by the total number of tacos purchased by both customers. This gives the cost of one taco at Terrific Tacos.

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Answer:

$22.05

Step-by-step explanation:

2 1/2/10.5=5 1/4/x

55.125=2 1/2x

x=22.05

Hope this helps plz hit the crown :D

Answer:

22.05

Step-by-step explanation:

HOPE THIS HELPS

Answer:

10 miles

Step-by-step explanation:

her house to school= 3+5=8 then I added two extra miles because 8+2=10

Answer:

Point U

Step-by-step explanation:

The center point of the angle

Answer:

1. C  2. A

Step-by-step explanation:

your welcome =0 (=

Answer:

50

Step-by-step explanation:

ABCD is quadrilateral. Sum of all the angles in a quadrilateral is 360. This means angle ADC will be 130.

ADE is a straight line. Angle ADC and angle CDE should sum up to 180. From here we can infer that angle CDE=x is 50

Answer:

126 yellow crayons

Step-by-step explanation:

Finding the number of each of the crayons :

Number of yellow crayons :

Room length = 200 ft.,Room width = 150 ft.,Height of the ceiling = 8 ft.,Selected detector distance = 50 ft.,

According to NFPA 72, for spot type heat detector, maximum spacing between detectors should be 50 ft.So, we need to find out the number of detectors that will be required to protect this room.

The formula for finding the number of detectors required is:Area covered by a single detector = detector distance * detector distance

Area of the room = room length * room width

Number of detectors = Area of the room / Area covered by a single detector

On substituting the given values in the above formula,

Number of detectors = (200/50) * (150/50)

Number of detectors = 4 * 3

Number of detectors = 12

To protect the given room, 12 detectors will be required.

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The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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The correct option is B.

We know that if a function is differentiable at a point 'a', then it is also continuous at that point.

Option A is the formula for the one-sided derivative, which only holds if f'(a) exists and is finite. Since f'(a) is given to be non-zero, option A cannot be true.

Option C has a denominator of h, which means it is the formula for the one-sided derivative as h approaches 0. Again, since f'(a) is non-zero, option C cannot be true.

Option B is the formula for the two-sided derivative, which is valid even if function f'(a) is non-zero. Therefore, option B is true.

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Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro