A student solved the problem shown below.



Find −3(−6)(−4)−(−9) (18)(−4)−(−9)==(−72)−(−9)81
This student made a mistake when solving the expression. Choose the mistake the student made.



Multiple choice question.

A)
The student subtracted 9 instead of adding its additive inverse.


B)
The student made 18 as a positive instead of a negative number.


C)
The student made 72 a negative number instead of a positive number.


D)
The student multiplied 18 by -4 before subtracting -9 instead of subtracting -9 from -4 before multiplying by 18.

Answer:

8.72 x 10^2

Step-by-step explanation:

The relationship described by the equation 4y = 2x is proportional.

The relationship in the equation 4y = 2x is proportional. By simplifying the equation, we got that y = (1/2)x, which shows that y is directly proportional to x. In a proportional relationship, the ratio of y to x always remains constant.

In this scenerio, the constant of proportionality is 1/2. As x increases or decreases, y also increases or decreases by half of x.

So, the relationship between y and x in this equation is proportional, indicating that changes in x will result in corresponding proportional changes in y.

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The question is:-

Is the relationship described by the equation 4y = 2x proportional or non-proportional?

The value of the angle x is 110 degrees

A transversal is described as a line that passes two lines of distinct points

Also, we need to know that pair of angles on a straight line sums up to 180 degrees.

Supplementary angles are described as angles that sum up to 180 degrees.

Corresponding angles are also equal, then, we have that;

70 + x = 180

collect the like terms, we get;

x = 180 - 70

subtract the values, we have;

x = 110 degrees

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The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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The solution for x, y, and z is x = 2, y = 2, and z = 2.

To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:

Simplify the expressions within the parentheses using the power of operator ("^").

\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)

Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)

\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)

Simplify the expression within the parentheses.

\((15610)^{16 }= 900^{16\)

Express both sides of the equation in terms of prime factors.

\(900 = 2^2 \times 3^2 \times 5^2\)

quate the powers of the prime factors on both sides of the equation.

\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)

From this, we can conclude that x = 2, y = 2, and z = 2.

Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.

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Answer:

me too (help)

Step-by-step explanation:

Answer:

y=3/2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Answer:

The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

Step-by-step explanation:

The migration matrix is given as:

\(A= \left \begin{array}{cc} \\ C \\S \end{array} \right\left[ \begin{array}{cc} C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]\)

The population in the  year 2000 (initial state) is given as:

\(\left[ \begin{array}{cc} C&S\\ 500,000&700,000 \end{array} \right]\)

Therefore, the population of the city and the suburb in 2002 (two years after) is:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2\)

\(A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]\)

Therefore:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]\)

Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

The population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

The populations are given as:

\(\mathbf{P_c = 500000}\) --- the population of the city in 2000

\(\mathbf{P_s = 700000}\) --- the population of the suburbs of the city in 2000

For the city, we have:

94% stays, while 6% moves out

For the suburbs, we have:

98% stays, while 2% moves out

Population is calculated using:

\(\mathbf{P =P_o r^t}\)

Where:

The population of the city is:

Population = Population that stays in the city in 2 years + Population that enters from the suburbs in 2 years

So, we have:

\(\mathbf{P = 500000 \times (94\%)^2 + 700000 \times (2\%)^2}\)

\(\mathbf{P = 442080}\)

The population of the suburb is:

Population = Population that stays in the suburb in 2 years + Population that enters from the city in 2 years

So, we have:

\(\mathbf{P = 700000 \times (98\%)^2+ 500000 \times (6\%)^2 }\)

\(\mathbf{P = 674080}\)

Hence, the population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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People started getting stimulus checks during the time when c0vid-19 was a major issue because most places where people would work were closed, so people were getting money through stimulus checks because they were basically unemployed. This money went back into the economy to buy mostly essentials and health products, so therefore it helped businesses that sold these kinds of things.

Answer:

51.525cm

Step-by-step explanation:

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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Answer:

I think it's 56 students have a gadgets

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, three said 9 p.m. What percent of the students is this?

20%

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, three said 9 p.m. What central angle measure would you use to represent this group on a circle graph?

72°

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, nine said 10 p.m. What percent of the students is this?

60%

Step-by-step explanation:

The number of tickets that Sam can buy, given the amount he has to spend and the price of admission, is 36 tickets.

The rate of change is $ 0.75 per attraction.

The table on the number of tickets and total cost is:

Number of tickets                 1                        5                 10               15

Total cost                          $ 10. 75             $ 13.75       $17.50        $ 21. 25

The number of tickets that Sam can buy when he has $ 37 is:

= (Amount to spend - Cost of admission ) / Cost per ticket

= ( 37 - 10 ) / 0.75

= 36 tickets

The rate of change is therefore the $ 0.75 charged per ticket per event.

The number of tickets for $ 10. 75 is:

= ( Total cost - Cost of admission ) / cost per ticket

= ( 10. 75 - 10 ) / 0.75

= 1 ticket

The cost of 5 tickets :

= ( Number of tickets x cost per ticket) + cost of admission

= (5 x 0. 75 ) + 10

= $ 13. 75

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Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

brainliest???

Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer

158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)

Step-by-step explanation:

I wasn't sure if you wanted a fraction, so I put two forms of the answer.

9514 1404 393

Answer:

  multiple solutions, see the attachment

Step-by-step explanation:

If you allow any digits 0-9, there are 11 possible solutions. Of these, two have the leading digit O = 0, so you may not agree that is an allowable solution.

Each row in the attachment is a possible solution. (Rows 4 and 10 have O=0.)

__

Found by exhaustive search using a computer program. Note that E=7 and N=1 are not hard to find by hand.

There are 34 ways by which  pairs of potential clients can be randomly chosen from pool or eight candidates.

We can be able to talk about the combination when the order of the selection is not seen as important as in the case that we have in the question here. We have been told that the pairs are to be chosen randomly.

As such we would have the use of the formula for combination as follows;

C = n!/r!( n - r)!

C = 8!/2!(8 - 2)!

C = 8 * 7 * 6!/2! 61

C = 8 * 7/ 2 * 1

C = 28

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Answer:

y=3/4x+9

Step-by-step explanation:

it is right   trust me.

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

the relative frequencies of the five classes in percentages are 8.1% for A, 32.4% for B, 37.8% for C, 13.5% for D, and 8.1% for F respectively.

A frequency table shows the number of occurrences of each class or category in a dataset. To find the relative frequencies of the five classes in percentages, we need to divide the frequency of each class by the total number of observations and multiply by 100.

Here's the calculation:

A: (3 / (3+12+14+5+3)) * 100 = 3 / 37 * 100 = 8.1%

B: (12 / (3+12+14+5+3)) * 100 = 12 / 37 * 100 = 32.4%

C: (14 / (3+12+14+5+3)) * 100 = 14 / 37 * 100 = 37.8%

D: (5 / (3+12+14+5+3)) * 100 = 5 / 37 * 100 = 13.5%

F: (3 / (3+12+14+5+3)) * 100 = 3 / 37 * 100 = 8.1%

So, the relative frequencies of the five classes in percentages are 8.1% for A, 32.4% for B, 37.8% for C, 13.5% for D, and 8.1% for F respectively.

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Answer:

t ≤ 3 ; kindly check explanation for more explanation

Step-by-step explanation:

Given that :

Number of tulip (t) =?

Cost of bulb = $1.50

Pot for each bulb purchased at =$1.25

Bag of potting soil = $10.00

Number of tulip bulb that can be purchased without spending more than $20

Cost of tulip bulb = [(cost per bulb + cost per pot) * number purchased (t) + cost of bag of potting soil]

Cost = [(1.50 + 1.25)t + 10]

If spending should not exceed $20

2.75t + 10 ≤ 20

2.75t ≤ 20 - 10

2.75t ≤ 10

t ≤ 10/2.75

t ≤ 3.64

He cannot purchase more than 3 tulip bulbs

Anika cannot buy exactly enough tulip bulbs an pot to spend the full $20 because the number obtained is a fraction and not a whole number.

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-3x + 10y = 11

-8x + 2y = -20

Step 2: Rewrite systems

-8x + 2y = -20

Step 3: Redefine systems

-3x + 10y = 11

y = 4x - 10

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph system

Check the system.

Answer:

1 chocolate bar=$2

Step-by-step explanation: Please mark brainliest

$8/4=$2

which means that every chocolate bar is $2.

Answer:

7:13

5:8

Step-by-step explanation:

Do 13 minus 5 and that is number of red apples. So the ratio is 8 to 13 total apples. So there are 5 green apples and 8 red apples so it’s going to be 5:8