Multiplying in any order results in the same product is called
the
Property. *
Distributive
Associative
Commutative
O Additive Inverse

All you have to do is take the value listed above for g(x) and set it equal to 16.

-3x+1=16.

Subtract 1 from both sides

-3x=15

divide both sides by -3

x=-5

Answer:

Three piles

Let No. of shells =S

pile1=0.5 S

pile2=0.5S-10

pile 3=10

The required expression is [tex]y=x-10[/tex]

Computation:

Let us that,

The number of shells in pile 1 be[tex]'x'[/tex]

The number of shells in pile 2 be [tex]'y'[/tex]

The number of shells in pile 3 be [tex]'z'[/tex]

Now,

The number of shells in pile 2 is 10 fewer than the number of shells in pile 1.

So, the expression is, [tex]y = x - 10[/tex]

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Answer:

3yx+3yx^2-3y^2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the expression is 2ac, so multiply everything together

2 * 1/2 = 1

1 * 9 = 9

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Answer:

and

Step-by-step explanation:

ok is a great resource for this year

Answer:

2.1 in decimal or 2 1/10 in mixed fraction.

Answer:

24

Step-by-step explanation:

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Given:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

To find:

The number of remaining pieces after 23 days.

Solution:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.

The number of remaining pieces decreasing by [tex]\dfrac{1}{4}[/tex].

Formula for number of remaining pieces is

[tex]y=a_0(1-r)^t[/tex]

where, [tex]a_0[/tex] is the initial value, r is decreasing rate and t is time.

Putting [tex]a_0=800,r=\dfrac{1}{4}[/tex] and t=4, we get

[tex]y=800(1-\dfrac{1}{4})^4[/tex]

[tex]y=800(\dfrac{3}{4})^4[/tex]

[tex]y=800(0.75)^4[/tex]

[tex]y=800(0.31640625 )[/tex]

[tex]y=253.125[/tex]

Approximate the value to the nearest whole number.

[tex]y\approx 253[/tex]

Therefore, the number of remaining  pieces is 253.

Answer:

is it saying 3 1/5 * 1 1/8?

Step-by-step explanation:

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Answer:

  [-6, 8]

Step-by-step explanation:

The range of a function is its vertical extent.

Here, the low point on the graph is (11, -6). The high point on the graph is (-6, 8). The graph is continuous between these points, so every value between a low of y=-6 and a high of y=8 is part of the range:

  -6 ≤ y ≤ 8 . . . . . . . . [-6, 8] in interval notation

Answer:

The mean absolute deviation of the following set of data is 4.5

Step-by-step explanation:

We need to find the mean absolute deviation of the following set of data.

10,20,12,4,18,8,14,18

For finding mean absolute deviation, first we need to find the mean of the given data set.

The formula used to calculate mean is: [tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}[/tex]

Sum of all data points: 10+20+12+4+18+8+14+18 = 104

Number of data points = 8

So, mean is:

[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{104}{8}\\Mean=13[/tex]

Now, we will subtract 13 from the given data points:

10  - 13 = -3

20  - 13 = 7

12  - 13 = -1

4  - 13 = -9

18  -13 = 5

8  - 13 = -5

14  - 13 = 1

18 - 13 = 5

We will take absolute values i.e |-a|=a

So, now the numbers will be:

3,7,1,9,5,5,1,5

We will now find absolute mean deviation by finding mean of newly calculate values

Sum of all data points = 3+7+1+9+5+5+1+5

Number of data points = 8

[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{36}{8}\\Mean=4.5[/tex]

So, the mean absolute deviation of the following set of data is 4.5

Answer:

x^3-x^2-27x+15 The last one

Step-by-step explanation:

Answer:

-21 degrees

Step-by-step explanation:

-8+(-13)=-21

Answer:

(0,1)

Step-by-step explanation:

x-intercept: (2,0)

Y-intercept: (0,1)

It's when x is zero and the form (x,y)

Answer:

The solution set is {x : x ∈ R, x < -7} ⇒ A

Step-by-step explanation:

Let us solve the question

∵ x + 2 < -5

→ Subtract 2 from both sides of the inequality

∴ x + 2 - 2 < -5 - 2

∴ x + 0 < -7

∴ x < -7

→ By using the second rule above

∴ The solution set is {x : x ∈ R, x < -7}

yea 2/1 and 4/2..........

Answer:

Step-by-step explanation:

Part A.

Expression [tex](100)^{\frac{1}{2}}[/tex] = 10

Because 100 = [tex](10)^{2}[/tex] and [tex][(10)^2]^{\frac{1}{2}}=10^1=10[/tex]

[Since, [tex](a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1[/tex]]

Part B.

When simplified, the answer is RATIONAL.

[Since, 10 can be written as [tex]\frac{10}{1}[/tex]]

Answer:

y = - 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

The perpendicular line passes through the origin ⇒ c = 0

The equation of line L₂ is

y = - 2x + 0 , that is

y = - 2x

Answer: 15.7828283 miles

Step-by-step explanation: 5280*12 = 63360. There are 63360 inches in 1 mile. 1000000/63360=15.7828283

Answer:

9

Step-by-step explanation:

Answer:

3.20

Step-by-step explanation:

If y is proportional to x as represented as;

y = 3.20x

This means that the relationship between y and x is a direct proportionality

y = kx

k is the constant of proportionality

Comparing with the given equation we will see that k = 3.20

Hence the constant of proportionality is 3.20

Answer:

x = 22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

other angle that is not x is 180-134= 46 degrees

180-(46+112)=x

180-158=x

22=x

Answer:

-3/8

Step-by-step explanation:

I would use a table

x      y

-4     5

-12    8

from -4 to -12 you subtract -8

from 5 to 8 you add 3

so y/x  = 3/-8

The slope is - [tex]\frac{3}{8}[/tex]

Hope this helped!

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

Answer:

153.16

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = ???

μ is the population mean = 140

σ is the population standard deviation = 8

Top 5% means the score is in the 95th percentile

The z score of 95th percentile = 1.645

1.645 = x - 140/8

Cross Multiply

1.645 × 8 = x - 140

13.16 = x - 140

x = 13.16 + 140

x = 153.16

Therefore, the minimum score needed to be in the top 5% of the scores on the test is 153.16

Answer:

7

Step-by-step explanation:

First, put them in numerical order: 2, 4, 5, 7, 8, 9, 12

Then cross out one from each side until  you get to the middle

The median of the given data set  7,5, 12, 8, 2,9,4 is 7.

Mode is the highest frequency number while the median is the middle value of a data set after writing either increasing or decreasing manner.

For example;

Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.

Given the data set,

7,5, 12, 8, 2,9,4

If we write it in increasing order then,

2, 4, 5, 7, 8, 9, 12

Now median is middle value so here 7 is in between 3 - 3 from left and right.

Hence "The median of the given data set  7,5, 12, 8, 2,9,4 is 7".

To learn more about mode and median,

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Answer:

  40.5 ft

Step-by-step explanation:

Solve for the time at which the balls meet, then find the corresponding height.

__

The balls will meet at the height such that the two values of h are the same.

  -16t^2 +56t = h = -16t^2 +156t -248

  0 = 100t -248

  t = 2.48

Using the first equation to find h, we have ...

  h = t(-16t +56) = 2.48(-16·2.48 +56) = 40.4736

The balls meet at a height of about 40.5 feet.

Answer:

Use substitution to write the equation: -16t^2 +56t = -16t^2 + 156 - 248

simplify and solve for t, which is 2.48 seconds

substitute 2.48 for t into either equation to get h=40.5 feet

Answer:

4.79 x 21 = 101 (rounded up from 100.59)

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

They won’t nessciarly pass each other while on the tracks becuase Train B is gonna be done with 300 miles so its at the station, it takes 6 hours for the A to reach that station but train B left an hour earlier so that adds another hour

So 7 hours until the two trains meet

Answer:

At the end of the travilling distance and they will take 6 hours

Step-by-step explanation:

After one hour train A is 50mph far but train B is 0 mph. In 2 hours train A is 100 mph and train B is 60 mph. In 3 hours the distance between them is 30 mph. In 4 hours the distance between them will decrease to 20 mph. In 5 hours will be 10 mph the distance between them. So you can see both trains will meet each other at the end of travilling distance so they will arrived at the same time

Answer:

The answer is 4/9x+16/9

Step-by-step explanation: