If a+b+c =9 and a²+ b²+c²=35,find the value of a³+b³+c³-3abc

Based on the solution below, the number of people Deb can invite in order to spend a total of $65 is 5 people.

Given:

blank x + 2x + blank = 65 ............................... (1)

Where:

x = Number of people Deb can invite

First blank with x variable = 5; since Deb must pay an additional $5 for each person in the group

Second blank without x variable = 30; since Deb $30 to reserve a private karaoke room

Substituting the relevant values into equation (1) and solving for x, we have:

5x + 2x + 30 = 65

7x = 65 - 30

7x = 35

x = 35 / 7

x = 5

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14, 4, 11, 7

1. 14, 42

   14 = 2 x 7

    42 = 2 x 3 x 7

GCF = 14

2.  16a , 20

     16a=  2 x 2x2x2xa

      20 = 2 x 2 x 5

GCF = 4

3) 22d,33e,99f

        22d = 2 x 11x d

        33e = 3 x 11 x e

         99f = 3 x3 x 11 xf

 GCF = 11

4)21b, 14ab, 49bc

    21b= 3 x 7 xb

    14ab = 2 x 7 x a x b

     49bc = 7 x7xb x c

GCF = 7

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on the map , 1cm=5kmtherefore ,

4.7cm= 5/1 x 4.7=23.5 km <----—-answer

The measure of ∠B = 189°

Here it is given that

∠A = (5x + 24)° and ∠B = (6x - 5)°

∠A and ∠B are vertical angles

Since vertical angles are always equal so

      ∠A = ∠B

5x + 24 = 6x - 5

add +5 on both sides, we get

5x + 24 + 5 = 6x - 5 + 5

     5x + 29 = 6x

add -5x on both side, we get

   5x - 5x + 29 = 6x - 5x

   x = 29

Now put the value of x in 6x - 5

6 × 29 - 5 = 189

The measure of ∠B = 189°

According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. There are equal amounts of vertical angles. For instance, if a, b, c, and d are the four angles created by two intersecting lines and a, b, and c are vertically opposed to d and c, respectively, then a, b, and c are congruent to d.

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Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 x 21 - 61

210 - 61= 149

18 x 8 + 5

144 + 5= 149

21 + 10= 31

(Don't need to right this part down)

Since the 149 is parallel or the same size on the opposite side, it should be the same answer

Answer:

983,040

Step-by-step explanation:

4×5=20

6×32=192

4×4=16

4×4=16

20×192×16×16

=983,040

Answer:

[tex]\frac{9b}{a^{2} }[/tex]

Step-by-step explanation:

[tex]\frac{a^{2} }{b}(\frac{3b}{a^{2} })^{2}[/tex]

[tex]\frac{9a^{2}b^{2} }{a^{4}b }[/tex]

[tex]\frac{9b}{a^{2} }[/tex]

Answer:64y^2 −80y+25

Step-by-step explanation:

According to the given statement:

Minimum value has space complexity S(N) = N

Auxiliary space complexity S(N) = k.

The correct option is D.

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I understand that the question you are looking for is:

An algorithm that uses a constant number k of integer variables to find a number list's minimum value has space complexity S(N) = _____ and auxiliary space complexity S(N) = _____.

Group of answer choices:

A.  k, N

B. N, N

C. k, k

D.  N, k

Answer:

Step-by-step explanation:

The line passes through the points:

Since all x- coordinates are same, the line is vertical and its equation is:

Answer:

2

Step-by-step explanation:

You can only cut it into 2 exact equal parts <3

Answer:

It has none.

Step-by-step explanation:

If it was down the middle it wouldn’t work and if it was across it also wouldn’t work.

The objective of Exploratory Research research is to gather preliminary information that will help define the problem and suggest hypotheses.

Exploratory Research is a methodology approach that explores research

question that have not previously been studied in depth.

The nature of experimental studies is generally frequently qualitative. However, an investigation with a big sample size might also be quantitative. Due to its open-mindedness and flexibility, it is additionally commonly referred to as interpretivism or a grounded theory method.

It is commonly employed when the subject you're examining is new, or perhaps the data collection method is challenging in certain way.

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Answer:

False

Step-by-step explanation:

Sometimes, multiplication can occur after addition. For example, in 3+4*7, you don't add 3 and 4 first. You multiply 4 and 7 first since that's following the PEMDAS rule. After multiplying 4 and 7, then you add 3 to get a total of 31. ==> 3+4*7=3+28=31.

Answer: 53.05

Step-by-step explanation: Simply divide both using the division method. Show your work as the method. (would recommend drawing out the problem)

Answer:

60.5

Step-by-step explanation:

60.5

8 424

-42

0

4.0

4.0

0

Answer:

C. 0

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-1 - -1)/(-3 - 6) = (-1 + 1)/(-9) = 0/9 = 0

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (6, - 1 ) and (x₂, y₂ ) = (- 3, - 1 )

m = [tex]\frac{-1-(-1)}{-3-6}[/tex] = [tex]\frac{-1+1}{-9}[/tex] = [tex]\frac{0}{-9}[/tex] = 0

Step-by-step explanation:

e = 129° ( being vertically opposite angle )

Now ,

f + 129° = 180° ( being the angle in linear pair )

Again ,

d + 90° = 180° ( being the angle in linear pair )

d = 180° - 90°

d = 90°

☘️☘️☘️ ...

Answer:

d = 90° , e = 129° , f = 51°

Step-by-step explanation:

d and 90° are a linear pair and sum to 180° , that is

d + 90° = 180° ( subtract 90° from both sides )

d = 90°

e and 129° are vertically opposite angles and are congruent , then

e = 129°

f and 129° are a linear pair and sum to 180° , that is

f + 129° = 180° ( subtract 129° from both sides )

f = 51°

Answer:

this is a finance and it is an

The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.

So, 121 = 4(5-3x) + 5:

Therefore, the value of 'x' is -8 in the given equation.

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Initial estimates of the probabilities of events are known as Prior Probabilities.

Prior Probabilities can be defined as the probability of the event before the event takes place.

For Example ,Let there be three wells X,Y,Z with water in it . it is given that one of the wells have the water that is fit for drinking. So the prior probability that Well Z can have drinking water is 1/3 i.e. 0.333  .

Therefore , the Initial estimates of the probabilities of events are known as Prior Probabilities.

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Based on the number of cookies that Fatima was able to package in a certain amount of time, the relationship between the cookies and the time it takes to package them is a single cookie is packaged in 12 seconds.

To find the amount of time it takes to package the cookies, the formula is:

= Number of minutes /  Number of cookies

= 4 / 20

= 1/5

= 0.20 minutes  

When converted to minutes, this is:

= 0.20 x 60 seconds per minute

= 12 seconds

In conclusion, it takes 12 seconds to package a cookie on average.

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The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

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If a road was made directly from his home to his place of work, its distance will be 16.6 mi.

If a man drives east from his home, makes a left turn at an intersection, and then travels north to his place of work, then the path he travels resembles the sides of a right triangle (see attached photo).

if a road was made directly from his home to his place of work, then this path will be the hypotenuse of the triangular path.

Using Pythagorean theorem, we can solve for the distance of the road.

c^2 = a^2 + b^2

where c is the distance of the road

a is the distance he travels to the east

b is the distance he travels up north

c^2 = a^2 + b^2

c^2 = (14 mi)^2 + (9 mi)^2

c^2 = (196 + 81) mi^2

c^2 = 277 mi^2

c = 16.64331698 mi

distance of the road = c = 16.64331698 mi

Rounding off to the nearest tenth of a mile:

distance of the road = 16.6 mi

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Answer:

(A) is correct.

Step-by-step explanation:

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

The value of 2B+ 2A -2t + 20.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

B=-2t+1

A=t+9

we have to find the expression that is equivalent to 2A + 2B

so,

2A + 2B

=2( t + 9) + 2( -2t + 1)

=2t + 18 - 4t +2

=2t - 4t + 18 +2

=-2t + 20

Hence, the value of 2A + 2B = -2t + 20

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Answer:

1/2 gallon.

Step-by-step explanation:

1 liter = 1/4 gallon

Basing the measurement off of this info, we can determine that 2 liters is equal to a half-gallon because it is 2 quarters, which simplifies to one-half.

Answer: Answer is 6.11

Step-by-step explanation:

Lets solve this equation (2x-1)+4x+(12x+5)=114

step 1: we first add x variables

          ie. 2x + 4x + 12x = 18x

step 2: we add numbers

          ie. -1 + 5 = 4

step 3: now we arrange LHS part

         ie.  18x + 4 = 114

step 4: now move this 4 to right hand side and simplify them

         ie. 18x = 114 - 4 = 110

step 5: now we divide 110 by 18 to get the value of x

         ie. x = 110/18 = 6.11

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Answer: 176 miles

Step-by-step explanation:

m=mile.

97 cents=

97/100 dollars=$0.97

190.67=19.95+0.97m

170.72=0.97m

m=176 miles

Answer:

let m = the cost of 1 month game play(20 + 3m) + (20 + 2m) = 115by solving we findm = $15

Step-by-step explanation: