Evaluate the expression 100 - 4 (3 - 2)4 using order of operations.

Answer:

33× w^3 × w^2 or

33w^5

Step-by-step explanation:

Let the unknown variable be w

\(33\times w^3\times w^2\)

Simplify

\(=33w^5\)

Answer:

33w^3 w^2

Step-by-step explanation:

The ^3 is supposed to cube the first w

and ^2 is supposed to square the second w

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

1cm in scale =50000 cm in actual ground

what of 10cm on actual ground

10cm× 50000

500000cm

in kilometres

1km=100000cm

500000cm÷100000cm

5km

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

I could be wrong, but I'll try my best.

So typically the formula to find the volume of something is l×w×h (length times width times height).

The length is 8, the width is 6, and the height is 9 in this equation.

To find the volume we gotta multiply all of this together. When we multiply 8×6×9, we should get 432. I could be wrong, sorry if I am.

edit; I realise I forgot the division part, and someone else's answer brought that to my attention. The true answer is 144. You have to divide 432 by 3 to get that. Check out the other answer, they got it completely correct

There are a total of 279 1/9s in 31.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To find out how many 1/9's are in 31, you can divide 31 by 1/9.

This can be simplified by converting the division of a fraction to multiplication with its reciprocal:

31 ÷ (1/9) = 31 × (9/1)

Simplifying the expression on the right side gives:

31 × 9 = 279

So there are 279, 1/9's in 31.

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SOLUTION

From the numbers given as -1, 2, 3 -4

The table of values is shown below

So all possible outcome is to list out the values in red without repeating, we have

List in ascending order from smallest to largest we have

-8, -5, -3, -2, -1, 1, 2, 4, 5, and 6

Answer:14in 3

Step-by-step explanation:

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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Answer:

what's the question??

Answer:

4.5

Step-by-step explanation:

Let's set up an equation:

1.1n=4.95

n is the number

We can use a calculator to figure this out:

n=4.5

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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Answer:

1.425

Step-by-step explanation:

b.0.76

0.76÷1000=0.076

l425÷1000=1.425

Answer:

blank=3

Step-by-step explanation:

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer: a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).

Step-by-step explanation:

Let p be the population proportion of all customers who have experienced a service interruption.

Confidence interval for p:\(\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\), where \(\hat{p}\) = sample proportion, n= sample size, z* = critical z-value.

Given: n = 540

\(\hat{p}=\dfrac{55}{540}=0.102\)

z* = 1.96

The required confidence interval:

\(0.102\pm (1.96)\sqrt{\dfrac{0.102(1-0.102)}{540}}\\\\=0.102\pm (1.96)(0.013024)\\\\=0.102\pm$$0.02552704\\\\=(0.102-$$0.02552704, 0.102+0.02552704)\\\\\approx(0.076, 0.127)\)

Hence, a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

26,733

Step-by-step explanation:

39,900 - Percentage decrease =

39,900 - (33% × 39,900) =

39,900 - 33% × 39,900 =

(1 - 33%) × 39,900 =

(100% - 33%) × 39,900 =

67% × 39,900 =

67 ÷ 100 × 39,900 =

67 × 39,900 ÷ 100 =

2,673,300 ÷ 100 =

26,733

Hope this helps :)

Answer:

350

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

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

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Answer: 175

Step-by-step explanation:

Let say

x the number of ticket at $6

y the number of ticket at $10

z the number of ticket at $12

500 total tickets were sold : x+y+z=500

the total income from ticket sales were $4.500: 6*x+10*y+12*z=4500

the combined number of $6 and $10 tickets was four times the

number of $12 tickets sold: x+y=4*z

x=175

Resolution is in the file xls jointed.

The amount that you will have in 3 years, given the interest rate and the amount won, is 1, 195, 618. 17 currency units

To find the amount earned in three years as a result of your lottery being invested, use the future value formula which is:

= Amount won x ( 1 + periodic  rate ) ^ number of periods

Periodic rate :

= 6 % / 4 quarters per year

= 1. 5 %

The number of periods is:

= 3 years x 4 quarters per year

= 12 quarters

The amount you will have in 3 years is:
= 1,000,000 x ( 1 + 1. 5 %) ¹²

= 1, 195, 618. 17 currency units

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18 ans 2,639.064

19 ans 1,437.607

22 ans 7,872.433

23 ans 2,950.190

Answer:

Step-by-step explanation:

\(\mathrm{SA=\cfrac{1}{2}(10)(8.7)+3(\cfrac{1}{2})(10)(6.7) }\)

\(\mathrm{43.5+100.5}\)

\(\mathrm{144m^2}\)

-Hope this helps!