Simplify the quantity 12 minus three fifths times the square root of 25 end quantity squared plus the quantity 2 minus 4 end quantity squared.

1,804
814
85
18

Four less than a number is tripled. The result is 15. Equations properly models this information  is x - 9.

When you need to multiply the supplied number by the sum of the two numbers, you apply the distributive property. Following the order of operations in such situations often entails adding the numbers first, followed by multiplying them by the specified quantity.

Based on the given condition formulates = 3 (z - 4) = 15

Applying the distributive property 3z - 12 - 15

Rearrange variables to the left side of the equation 3z - 15 + 12

Calculate the sum of difference 3z- 27

Divide both sides of the  equation by the coefficient of variable w = 27/3

Cross out the common factors : x - 9

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Step-by-step explanation:

y = f(x)

this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.

so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),

y = 12 + (3/4)x

is the same as

f(x) = 12 + (3/4)x

you could also write it as

f(x) = 12 + 3x/4

don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.

An advantage of a weighted moving average (WMA) is that recent actual results can be given more importance than what occurred a while ago is a "true" statement because "Weighted moving averages could be adjusted to emphasize more recent data in forecasting."

Moving averages are popular tools for measuring momentum among active traders. The formula used to calculate the average is the primary distinction between a simple moving average, a weighted moving average, and an exponential moving average.

Some key features regarding the weighted moving average are-

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The final altitude of the hiker 395 feet.

From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.

This will be:

= -1345 + 950

= 395

Therefore, the final altitude of the hiker 395 feet.

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Answer:

6

Step-by-step explanation:

6 x 6 = 36

Answer:

The length is 5.

Step-by-step explanation:

Since the proportions are the same, 3 is 3 times less than 9. The same applies to 15, which 3 times less would be 5. It has a ratio of 3:5.

Answer:

4,      -1,         5,          -2

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

Step-by-step explanation:

3z2 − 4z + 103z2 −4z + 10

3z2  + − 4z+ 103z2 +− 4z + 10

3z2  +− 4z+ 103z2 + − 4z + 10

( 3z2  + 103z2 ) + ( −4z+−4z ) + ( 10 )

106z2 + − 8z + 10

Answer:

x = 2

Step-by-step explanation:

Simplifying

90 = 10(x + 7)

Reorder the terms:

90 = 10(7 + x)

90 = (7 * 10 + x * 10)

90 = (70 + 10x)

Solving

90 = 70 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.

90 + -10x = 70 + 10x + -10x

Combine like terms: 10x + -10x = 0

90 + -10x = 70 + 0

90 + -10x = 70

Add '-90' to each side of the equation.

90 + -90 + -10x = 70 + -90

Combine like terms: 90 + -90 = 0

0 + -10x = 70 + -90

-10x = 70 + -90

Combine like terms: 70 + -90 = -20

-10x = -20

Divide each side by '-10'.

x = 2

Simplifying

x = 2

Answer:

15. x = 4

17. AB = 9

Step-by-step explanation:

15.

Since B is in the middle of AC, AB + BC = AC

So,

x + 5 + 2x - 4 = 13

3x + 1 = 13

3x = 12

x = 4

17.

Since B is in the middle of AC, AB + BC = AC

So,

x + 16 + x + 17 = 19

2x + 33 = 19

2x = -14

x = -7

Going back to the question, it says to find the length of AB.

AB = x + 16 = -7 + 16 = 9

The median of all these numbers in dollars is 7.5.

When the no. of given data are odd we arrange those nos. in an order increasing or decreasing order and the middle no. is the median of the given odd numbers.

According to the given question the following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 and we have to find the median.

First we observe that no. of people is even so there will be two middle nos.

Now lets arrange these nos. in an order from least to greatest which is

1, 4, 5, 6, 7, 8, 10, 12, 13, 19 in this 7 and 8 are middle numbers.

So, to find the median of all these nos. we will divide these two middle nos. by 2.

∴  ( 7 + 8 )/2

= 15/2

= 7.5.

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Considering the definition of an equation and the way to solve it, the cost of one hot wing is $0.6.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality must be true.

To solve an equation, keep in mind:

Being "x" the cost of one hot wing, and knowing that:

the equation in this case is:

First customer payment= Second customer payment

8x +4= 10x +2.80

Solving:

4 - 2.80= 10x - 8x

1.2= 2x

x= 1.2 ÷ 2

x=0.6

Finally, the cost of one hot wing is $0.6.

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Answer:

So what's M and N?

Step-by-step explanation:

Answer:

6a²b(2b-3a³+5)

in here we need to consider about highest common factor. After that take it as common and factorise

The equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is; m = (55.5 - 19)/5

Distance that she wants to ride this week = 55.5 miles

Distance she has already ridden so far = 19 miles

Now, we are told that she will ride 5 more days.

If m is the average number of miles she has to ride to meet her goal, then we can say that;

5m + 19 = 55.5

Making m the subject by, we have;

m = (55.5 - 19)/5

Thus, the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is;

m = (55.5 - 19)/5

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Answer:

6

Step-by-step explanation:

-6 + (12)

○ First you remove the brackets

○ Then you will get -6 + 12

○ Negative Positive (-+) equals Negative

○ You will put will subtract the bigger number by the smaller number

i.e 12-6

○ You will get your answer as 6

Answer:

Step-by-step explanation:

could you explain better?

The value of expression using PEMDAS rule is 28 .

Given : expression [ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )

To find : value of expression

Calculation : Using V-BODMAS

[ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )

= [ ( 8 * 2 ) - ( 4 * 4 ) ] + ( 7 * 4 )

= [ 16 - ( 4 * 4 ) ] + ( 7 * 4 )

= [ 16 - 16 ] + ( 28 )

= [ 0 ] + ( 28 )

= 28

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Answer:

p = 12, q = 16,

Step-by-step explanation:

Answer:

For f (x):

f (x) = (x + 3) ^ 2 - 2

For x = -1

f (-1) = (-1 + 3) ^ 2 - 2

f (-1) = (2) ^ 2 - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f (3) = (3 + 3) ^ 2 - 2

f (3) = (6) ^ 2 - 2

f (3) = 36 - 2

f (3) = 34

AVR = ((34) - (2)) / ((3) - (- 1))

AVR = 8

For g (x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g (x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

AVR = ((0) - (- 2)) / ((3) - (- 1))

AVR = 1/2

For h (x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

Step-by-step explanation:

Answer:

from least to greatest:

1) g (x)

2) f (x)

3) h (x)

Step-by-step explanation:

Answer:

He needs to get 100% on his next test

Explanation:

(59 + 80 + 65 + 96 + 100) / 5

Answer:

D Reflect across the line y = -3

Step-by-step explanation:

The only way you can divide the trapezoid so that there are two congruent parts is when you draw a line on y=-3.

Answer:

see explanation

Step-by-step explanation:

calculate the slope m using the slope formula and equate to the given slope

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(a)

(x₁, y₁ ) = (- 3, - 4 ) and (x₂, y₂ ) = (0, y )

[tex]\frac{y-(-4)}{0-(-3)}[/tex] = [tex]\frac{y+4}{0+3}[/tex] = [tex]\frac{y+4}{3}[/tex] , then

[tex]\frac{y+4}{3}[/tex] = 2 ( multiply both sides by 3 )

y + 4 = 6 ( subtract 4 from both sides )

y = 2

ordered pair is (0, 2 )

(b)

(x₁, y₁ ) = (- 2, 2 ) and (x₂, y₂ ) = (x, 5 )

[tex]\frac{5-2}{x-(-2)}[/tex] = [tex]\frac{3}{x+2}[/tex] , then

[tex]\frac{3}{x+2}[/tex] = [tex]\frac{3}{7}[/tex] ( cross- multiply )

3(x + 2) = 21 ( divide both sides by 3 )

x + 2 = 7 ( subtract 2 from both sides )

x = 5

ordered pair is (5, 5 )

(c)

(x₁, y₁ ) = (x, 5 ) and (x₂, y₂ ) = (1, - 5 )

[tex]\frac{-5-5}{1-x}[/tex] = [tex]\frac{-10}{1-x}[/tex] , then

[tex]\frac{-10}{1-x}[/tex] = [tex]\frac{-5}{2}[/tex] ( cross- multiply )

- 5(1 - x) = - 20 ( divide both sides by - 5 )

1 - x = 4 ( subtract 1 from both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

ordered pair is (- 3, 5 )

(e)

(x₁, y₁ ) = (- 6, y ) and (x₂, y₂ ) = (8, 2 )

[tex]\frac{2-y}{8-(-6)}[/tex] = [tex]\frac{2-y}{8+6}[/tex] = [tex]\frac{2-y}{14}[/tex] , then

[tex]\frac{2-y}{14}[/tex] = - [tex]\frac{1}{7}[/tex] ( cross- multiply )

- 7(2 - y) = 14 ( divide both sides by - 7 )

2 - y = - 2 ( subtract 2 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

ordered pair is (- 6, 4 )

The  difference between the values of 4 is 0.36.

We need to understand the place value and face value of a digit in a number.

Place value of digit is decided by putting the number of zeroes equal to the number of digits after that digit.

And the face value of a number is the number itself.

Here the two numbers given is 25.48 and 12.64. And we have to find the difference in place value of 4 in the given number.

The value of 4 in 25.48 is 0.40.

The value of 4 in 12.64 is 0.04.

Required difference = 0.40-0.04

                               = 0.36

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Answer:

The answers for this question is given below in the explanation section, kindly refer.

Step-by-step explanation:

Find the next 5 terms:

1) 28 < 33, 38, 43, 48, 53 => In every next term 5 is added.

2) 64 < 32, 16, 8, 4, 2 => In every next step the term is divided by 2.

3) 64 < 125, 216, 343, 512, 729 => In every next step it is a cube of next number.

4)  13 < 17, 19, 23, 29, 31 => In every next term it is the next prime number.

5) V < VI, VII, VIII, IX, X => In every next term it is the next roman numeral.

6) 8 < 13, 21, 34, 56, 90 => In every next term it is the sum of previous two terms.

7) => In every next term the arrows rotate clockwise in direction.

T/F:

8) False => 17+19 = 36, which is not a prime number.

9) True

10) True

11) True

12) True

13) True

14) False => ostrich, penguin, etc.

15) True

16) False => (a + b)² = a² + b² + 2ab

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Answer:

Step-by-step explanation:

2+-x15 = -3

15.2 2 /15 -x =3

30 -x /15 = -3 x= 75

HOW TO DO???

- First you have to find how much money does she get per hour on each day

- Then add the amounts together

SLOVE

Lisa get: 55 : 5= 11$ per hour on Friday

Lisa get: 88 : 8= 11$ per hour on Saturday

Lisa get: 33 : 3= 11$ per hour on Sunday

At the end Lisa get: 11$ x 3= 33$  per hour at her job

{ I think my English isn't very good either because I'm just intermediate so I hope you understand it.}

Answer:

∠1 is 101 ∠4 is 79 and ∠2 is 79

Step-by-step explanation:

This is because ∠1 is a vertical angle of ∠3 so they have the same angle

For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180