How many terms are in the simplified expression?
22x3 + 14x2 + 3x + 7x – 12x2 + 5x

A. 3
B. 5
C. 4
D. 6

The original number of students scheduled to go on the field trip was 600.

Let the original number of buses be "x" and each bus having "y" students, we can use algebra to solve for the number of students on the field trip.

It is given that; x*y = 600, that is, the original number of students is 600. When the organizer increases the number of buses by 4, the number of buses will be (x + 4), and the number of students per bus decreases by 5. We can express this as y - 5.

Hence, the new number of students will be 600 since no new students were added. We can represent this using the equation (x + 4) * (y - 5) = 600.

Substituting x*y = 600, we get x*(y-5) = (x + 4) * (y - 5).

Expanding the equation above, we get; xy - 5x = xy - 5y + 20.

Rearranging, we have 5x - 5y = 20. Dividing both sides by 5, we get x - y = 4.

Substituting xy = 600, we get x * (x - 4) = 600. Solving this quadratic equation, we get x = 24 or x = - 25.

We discard the negative solution. Therefore, the original number of students scheduled to go on the field trip was

24 * 25 = 600 students.

Therefore, the conclusion is that the original number of students scheduled to go on the field trip was 600.

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Answer:

a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.

There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:

11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

b.) Use this result to determine how many prime numbers less than 100 there are.

Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.

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Answer:

39mph

Step-by-step explanation:

plz mark brainliest

Answer:

264 seconds

Step-by-step explanation:

first you find the L.C.M (Lowest Common Multiple) of 3,8,11 which is equal to 264

so ans equal to 264 seconds

I hope this helped

Answer:

$31.25

Step-by-step explanation:

divide 125 by 4

hope this helps you!!! also good luck!!!!

Answer:

Hey!

Your answer is $31.25

Step-by-step explanation:

To get your value of 1 GAME:

Divide the TOTAL VALUE OF 4 GAMES by 4!

So in this case...

125 ÷ 4 = 31.25

ANSWER: $31.25

(Proof: 31.25 × 4 = 125)

I HOPE THIS HELPS YOU!!

Answer:

\(\sqrt{216}\) (if that didn't work i said square root of 216)

Step-by-step explanation:

6×6×6=216

Answer:

n=-1 or n=-4

Step-by-step explanation:

-5/6n + 15/ = -45

/6n + 15/ = 9

square both sides to neutralize absolute value

/6n + 15/^2 = 81

36n^2 + 180n + 225 = 81

divide both sides by 9

4n^2 + 20n + 25 = 9

4n^2 + 20n + 16 = 0

divide both sides by 4

n^2 + 5n + 4 = 0

Factorize

(n + 1)(n + 4) = 0

therefore n = -1 or -4

Answer:

3x(2z+4z)+(−4y+7y)−6

Step-by-step explanation:

1 Collect like terms.

3x+(2z+4z)+(−4y+7y)−6

2 Simplify.

3x+(2z+4z)+(−4y+7y)−6

3x+6z+3y−6

The greatest possible mass of the rock to two decimal places is 86.34 g

Since the mass of the piece of rock is 86.3 g, correct to the nearest 0.1 g. Thus, the actual mass of the rock  in 2 decimal places could be between 86.25 g and 86.34 g.

To find the greatest possible mass of the rock, we need to round up to the higher end of the range of the mass of the rock.

Therefore, the greatest possible mass of the rock to two decimal places is 86.34 g

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Explanation:

x = number of coins Liam has in his bag

Each bag Mia has is 3 greater than x.

So x+3 is the number of coins in one bag for Mia. Two such of her bags gives 2(x+3) = 2x+6 coins.

Based on the rating factor of 75%, the normal time for the job element would be 11.19 seconds.

When given the rating factor, the normal time can be found as:

= Average time for the job element x Rating factor

Average time for the job factor is:

= [(10 x 18) + (15 x 25) + (20 x 17)] / (18 + 25 + 17)

= 14.92 seconds

The normal time for the job element is therefore:

= 14.92 x 0.75

= 11.19 seconds

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The value of y= 5.49≈ 5.5cm

What is 30-60-90 traingle?

The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.

By 30-60-90 triangle rule,

Side across 60° angle = x

Hypotenuse side = 2x= 15

Side across 30° angle = x√3

By solving,

2x= 15

x= 7.5cm

So side across 60° angle= 7.5 cm

Side across 30° angle = 7.5×√3

                                     = 7.5× 1.732= 12.99≈ 13cm

As the figure given us square so,

13= 7.5+y

y= 13-7.5

y= 5.5 cm

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

According to the statement:

Mode measure of central tendency would be appropriate to summarize the measurements.

The correct option is B.

We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.

When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.

Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.

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I understand that the question you are looking for is:

A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?​

Select one:

a. ​weighted mean

b. ​mode

c. ​median

d. ​mean

Answer:

well in order to make a trangle they mus add up to be greater than a side sooo  i guess thats right so..... idek theres calculators online and stuff like that and you can also go on line and search woill this make a triangle calcs and theyll let you p0ut meaasurements and stuff like that to model them for you

Step-by-step explanation:

Answer:

B C D

Step-by-step explanation:

just took the quiz edge 2021

The correct way to prove that the triangle KJL is by drawing the line KM, where M is a point on the line JL and bisector to the angle K.

It is given that sides KJ=KL.

The side KM is common to triangle KLM and triangle KJM .

Thus, the triangle is an isosceles triangle by SAS. since the side KJ= KL and KM is a common side and the angle K is bisected by the line KM.

Thus, the correct option is option 4. The triable is isosceles by SAS.

Answer:

Step-by-step explanation:

M is the point where KM meets the line JL.

So, we have 2 right angled triangles formed which are congruent by SAS.

Answer:

122

Step-by-step explanation:

25 Yards x 3= 75 yards.

75 Yards= 2700 inches

2700/22= 122.72727272 which rounds down to 122

* You round down because you can't have a 0.7272 piece

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Answer:

24/60 does not like 36/60 does like

36/60 = .6 which is 60% chance

Step-by-step explanation:

The probability that Ryan will pick a jelly bean that has a flavor he likes is 0.7

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

\(P(A)=\frac{n(A)}{n(S)}\)

where, \(n(A)\) is the number of favorable outcomes

is \(n(S)\) the total number of events in the sample space.

From given data:

Ryan received a box of jelly beans with

Grape - 16

Licorice - 10

Cherry - 12

Lemon - 14

Lime - 8

So, there are total 16 + 10 + 12 + 14 + 8 = 60 jelly beans.

Ryan does not like licorice or lime.

⇒ 10 + 8 = 18 jelly beans he does not like.

This means, he likes 60 - 18 = 42 jelly beans.

Now, we find the probability of jelly beans that has a flavor he likes.

⇒ P = (number of grape, cherry, lemon jelly beans) / (total number of jelly beans)

⇒ \(P=\frac{42}{60}\)

⇒ \(\bold{0.7}\)

Therefore, the probability that Ryan will pick a jelly bean from the full box that has a flavor he does like is 0.7

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The tc value for a 0.90 confidence level with a sample size of 8 is approximately 1.895.

To find the critical value (tc) for a 0.90 confidence level with a sample size of 8, we need to use the Student's t distribution.

The Student's t distribution depends on the degrees of freedom, which is calculated as (sample size - 1). In this case, the degrees of freedom is 8 - 1 = 7.

Using a t-table or statistical software, we can find the tc value for a 0.90 confidence level and 7 degrees of freedom. For a two-tailed test, we need to find the value that corresponds to a cumulative probability of (1 - confidence level)/2 = (1 - 0.90)/2 = 0.05.

Consulting the t-table or using a statistical software, the tc value for a 0.90 confidence level and 7 degrees of freedom is approximately 1.895 (rounded to three decimal places).

Therefore, the critical value (tc) for a 0.90 confidence level with a sample size of 8 is approximately 1.895.

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The option that generates the maximum time delay is `preascaling =1024`.

In electronics, a prescaler is a circuit that divides a signal's frequency by a specific value. As a result, it is used to calculate frequency measurements. The prescaler is capable of dividing the input frequency to a programmable lower frequency that can be more easily dealt with by a counter circuit.

To configure the preascaling, the corresponding bits in the TCCR1B register must be set in CTC mode. The delay formula is as follows:

Delay = Timer resolution x Preascaling value

The maximum time delay is the time required to wait before the signal can be processed. It is the largest time that a system may delay the signal.

The option that generates the maximum time delay is `preascaling =1024`.

Since the delay formula is Delay = Timer resolution x Preascaling value.

When the Preascaling value is set to 1024, the maximum delay is achieved, according to the formula.

This implies that the maximum time delay will be generated by the `preascaling =1024` option. Therefore, option c is correct.

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Answer:

X-axis

Step-by-step explanation:

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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answer:

1.92 pounds or 23/12 lb

step-by-step explanation:

first convert 3/4 and 1/3 to fractions that have the same denominator such as 9/12 and 4/12. then add the two numbers together and subtract it by 3 to get the answer. hope that helps!

When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a systematic sample might select every tenth customer for review.

Systematic random sampling is known to be a form of a random sampling method that needs one to select samples using a system of intervals where one has ranges of numbered population.

Note that When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a systematic sample might select every tenth customer for review.

See options below

a. stratified sample

b. comprehensive sample

c. random sample

d. Systematic sample

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Answer: x = 33

Step-by-step explanation:

Subtract 2/11x from both sides

Subtract 4 from both sides

Multiply both sides by 11/4

Answer:

The result is \(x = 33\) .

Step-by-step explanation:

Solve the equation:

\(\frac{6}{11} x +4 = \frac{2}{11} x + 16\)

-Subtract \(\frac{2}{11} x\) from \(\frac{6}{11}x\) :

\(\frac{6}{11} x +4 -\frac{2}{11}x = \frac{2}{11} x - \frac{2}{11}x + 16\)

\(\frac{4}{11} x +4 = 16\)

-Subtract from both sides by 4:

\(\frac{6}{11} x + 4 - 4 = 16 -4\)

\(\frac{6}{11} x = 12\)

-Multiply both sides by \(\frac{11}{4}\) :

\(x = 12\) × \((\frac{11}{4})\)

\(x = 33\)

So, the answer for the equation is \(x =33\) .

Step-by-step explanation:

Divide 8 by 5 to represent how much greater km's is than miles:

\(\frac{8}{5} =1.60\)

km is 1.6 times greater than miles, using the approximation.

Multiply 6 and 1.6 to represent the amount of km's:

\(6 \times 1.6= 9.6\)

There is 9.6 km's in 6 miles

Answer:

A.dollors

correcte if I wrong

The median is 6.5.

The first quartile is 5.

The third quartile is 8.

The interquartile range is 3.

We know that,

The numbers in the dot plot are: 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 22

Median is the number in the middle of the dataset.

Median = 1/2 ( n + 1)

1/2 x 21 = 11.5th number = (6+ 7) / 2 = 6.5

First quartile = 1/4 x (n + 1)

1/4 x 21 = 5.25th number = 5

Third quartile = 3/4 x (n + 1)

3/4 x 21 = 15.75th number = 8

Interquartile range = 8 - 5 = 3

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