32. A student is in the process of solving an equation. The original equation and the first step are shown
below.

Answer:

D

Step-by-step explanation:

Based off of previous responses and my incorrect answer, I am going to say the answer is D.

Answer: d

Step-by-step explanation: edge

Answer:

All of the options

Step-by-step explanation:

Did it KA

Answer:

They had 98 marbles

Answer:

Infinitely many solutions

Step-by-step explanation:

Since you already have y isolated in one equation, you can plug it in and use it in the other equation

2y = 8x + 12

2(4x + 6) = 8x + 12

8x + 12 = 8x + 12

Get the x's to one side

12 = 12

Meaning you have infinitely many solutions.

Try plugging in any x value you can think of and the left side will always equal the right side. so

x = 0 --> 8(0) + 12 = 8(0) + 12

12 =12

x = 1 --> 8(1) + 12 = 8(1) + 12

20 = 20

and so on.

I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12

Answer:

-3/5 -3/6

Step-by-step explanation:

Answer:

625 meters

Step-by-step explanation:

25 multiplied by 50 equals 1250 divided by 2 is 625 meters.

The profit for winning should be $23/13 to make this game fair.

The formula used, Expected Value = Sum of (Value * Probability)Profit of winning to make the game fair

The expected value of the game is equal to zero, to make the game fair.

The probability of winning in a dice game is the number of outcomes that result in the win over the total number of possible outcomes.

The total number of outcomes in rolling two dice is 6 × 6 = 36.

The number of outcomes that result in a win is found by using the following table.

The sums greater than or equal to 10 are colored green, and the remaining sums are colored red.

Using the table, we can see that the number of outcomes that result in a win is 13.

The probability of winning is 13/36.

The probability of losing is 1 − 13/36 = 23/36.

Let p be the profit from winning the game.

If you win, you receive p dollars.

If you lose, you pay $1.

The expected value of the game is:

p(13/36) − 1(23/36) = 0p(13/36)

= 23/36p = (23/36) / (13/36)p

= 23/13

So, the profit for winning should be $23/13 to make this game fair.

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To determine the probability that it would be more than 30 minutes before the next person is admitted to the hospital, we would need information about the admission process, such as the average rate of admissions or the distribution of inter-admission times.

However, if we assume that the time between admissions follows a continuous random distribution and is independent of the previous admission time, we can make some general assumptions.

Let's assume the time between admissions follows an exponential distribution with a mean of λ (lambda). The exponential distribution is commonly used to model the time between events that occur randomly and independently over time.

In this case, the probability that it would be more than 30 minutes before the next person is admitted can be calculated as the complement of the cumulative distribution function (CDF) of the exponential distribution at 30 minutes.

P(Time > 30 minutes) = 1 - CDF(30 minutes).

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Answer:

sf=3/7

..................

Tyler concludes that 5x² will always have a larger output for the same value of x.

Look at the graph below and the table given

Take a random value: x = 0

Here, 1 > 0, making 2^x > 5x²

Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.

Disagree with Tyler's point.

No it won't be

Take x =9

But

Clearly 2^x surpasses 5x²

So Tyler is wrong

Option D (9) is not a probability and is not a possible answer choice for a probability question.

To find the probability of the intersection of events A and B (denoted as P(A ∩ B)), we need to know how many elements are in both A and B. Since there are 2 repeated elements between the events, this means that there are a total of 7 - 2 = 5 distinct elements between them.

Therefore, P(A ∩ B) = 5/7.

Note that none of the answer choices provided match this result exactly. Option A is the closest with a probability of 4/7, but this is the probability of A alone, not the intersection of A and B. Option B (2/7) is the probability of B alone and option C (5/7) is the probability of either A or B occurring, not the intersection.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Given:

The expenses for the past 2 weeks is as shown in the table

so, the total expenses =

Kelly bank statement says that she has an ending balance of $349

So, the starting balance = 478 + 349 = 827

So, the answer will be: the starting balance = $827

Answer:

Step-by-step explanation:

7 months.

Given the lines:

JK and LM

Let's determine the relationship of both lines.

We can see the given angle is 90 degrees.

This means both lines JK and LM meet at right angles,

Since both lines meet at right angles, the lines are perpendicular to each other.

Perpendicular lines are defined as lines that meet each other at right angles (90 degrees).

Therefore, lines JK and LM are perpendicular lines.

ANSWER:

C. Perpendicular

Answer:

456.25

Step-by-step explanation:

25% as a decimal is .25

To find 25% of her monthly income, multiply 1,825 by .25

1825*.25=$456.25

Answer:

hiii, its B. 1/8. let me know if you need more help

Answer:

36, 38, 40, 42, 44

Step-by-step explanation:

We can denote an even number as 2n (where n is a natural number).

Each consecutive even number will be 2 more than the previous number.

Let 1st number = 2n

⇒ 2nd number = 2n + 2

⇒ 3rd number = 2n + 4

⇒ 4th number = 2n + 6

⇒ 5th number = 2n + 8

Sum of all 5 numbers is 200.  

⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200

⇒ 10n + 20 = 200

⇒ 10n = 180

⇒ n = 18

If n = 18, then 2n = 36

Therefore, the numbers are 36, 38, 40, 42, 44

Answer:

\(y=\frac{1}{3}x+6\)

Step-by-step explanation:

The y-intercept is 6 as shown on the graph.

The slope is \(\frac{1}{3}\) because it rises up one unit and moves three units to the right.

Answer:

Step-by-step explanation:

\(10[2x-4]=100\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10\left(2x-4\right)}{10}=\frac{100}{10}\\\\Simplify\\2x -4=10\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2x-4+4=10+4\\\\Simplify\\2x =14\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{14}{2}\\\\Simplify\\x = 7\)

Answer:

wouldn't it be \(\frac{n}{1}\)?

Answer:

n over 1 = n/1

Step-by-step explanation:

Answer:

where is the question

Step-by-step explanation:

send me the question on comment and i will solve it for you

Answer: 17°F

Step-by-step explanation:

Let the the town high temperature .In degrees Fahrenheit ,for January be represented by x

Since the town had low temperature for January was -8 Fahrenheit and the difference between the town high temperature and low temperature for January was 25. Then, the high temperature will be:

x - (-8) = 25

x + 8 = 25

x = 25 - 8

x = 17°F

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Answer:

15

Step-by-step explanation:

BY PYTHAGORAS THEOREM

Answer:

x = 15 ft

Step-by-step explanation:

using the Pythagorean theorem:

x² = 17² - 8² = 289 - 64 = 225

x = √225 = 15

As the sample size increases, the variability among the sample means decreases, option d.

As the sample size increases, the variability among the sample means decreases. This phenomenon is known as the central limit theorem, which states that as the sample size increases, the distribution of sample means becomes more normal and the standard deviation of the sample means becomes smaller.

The reason for this is that a larger sample size provides a more accurate representation of the population, leading to a more precise estimate of the true population mean. With a larger sample size, the sample means are more likely to be closer to the true population mean, resulting in less variability among the sample means. Therefore, the correct option is d. decreases.

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Using Expanded form formula,

the Expanded form of 1005 is { (1000×1 ) + (1×5)}.

Expanded from:

Breaks a number into its digits and expands to display the value of each digit.

For example, an extended form of 943 is

9 × 100 + 4 × 10 + 3 × 1 = 900 + 40 + 3

Find expanded form:

To write a number in expanded form:

All numbers must be displayed as the product of the number and the digit value.

we have given that,

Number = three power of ten and five = 1000+5

= 1005

Expanded from of given number is

one's place number is 5 and its expanded

from 1× 5

ten's place number is zero and it's expanded form 10×0

hundred's place number is zero and it's expanded form is 100×0

thousand's place number is 1 and it's expanded from is 1,000× 1

so, the expanded from of given number is

= (1,000× 1 ) + (100×0) + (10×0)+(1× 5)

=( 1,000× 1) + (1× 5) = 1,000 + 5

Hence , required form is result occurred.

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TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Answer:

Statistical inference

Step-by-step explanation: