Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.

Given: −6a−5=−95

Instructions: Complete The Following Proof By Dragging And Dropping The Correct Reason Into The Space

Answers

Answer 1

Answer:

givenaddition property of equalitydivision property of equality

Step-by-step explanation:

The equation is solved by starting with the given equation, then performing inverse operations to undo what is done to the variable.

__

Step 1

The equation shown is the same as the given equation.

  reason: given

Step 2

The equation shown has the "-5" term missing. That happens when +5 is added to both sides of the equation. -5 +5 = 0, and 0 added to anything leaves the value unchanged.

  reason: addition property of equality

Step 3

The equation shown has the "-6" coefficient of 'a' missing. That happens when the equation is multiplied by the multiplicative inverse of -6. That is, it is divided by -6.

  reason: division property of equality

_____

Additional comment

As we have noted in Step 3, division is the same as multiplication by the multiplicative inverse. The definition of multiplicative inverse tells you that the product of a number and its inverse is 1. The identity element property for multiplication tells you that multiplying by 1 leaves the value unchanged.

  (1/(-6))(-6a) = 1a = a

So, the reason for Step 3 could also be "multiplication property of equality."


Related Questions

rose is making trail mix bags for her hiking club. she will use 20 ounces of walnuts, 11.1 ounces of almonds, and 15.4 ounces of cashews. this amount makes 25 bags of trail mix. how many ounces are in each bag? (please have explanation and answer)

Answers

Answer: 1.86 oz. per bag

Step-by-step explanation: First we add the amount of ounces from each ingredient. 20+11.1+15.4 = 46.5

Then we divide by 25 to find out how many ounces per bag. 46.5/25=1.86

Answer:

2.15 ounces

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.

From the question we are told that these amounts make 26 bags.

The number of ounces that are in each bag is calculated as:

26 bags = 55.9 ounces

1 bag = x ounces

Cross Multiply

26 bags × x ounces = 1 bag × 55.9 ounces

x ounces = 1 bag × 55.9 ounces/26 bags

x ounces = 2.15 ounces

Therefore, there are 1.94 ounces in each bag

The ordered pairs in this table lie in the graph of a linear function. Which equation represents the same linear function?
X Y
4 11
0 -1
-2 -7
-5 -16

A. y = x + 2
B. y = 3x – 1
C. y = 3x
D. y = x – 3

Answers

The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table, using the point (0, -1) and (4, 11), hence:

y - (-1) = [(11 - (-1))/(4 - 0)](x - 0)

y = 3x - 1

The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1

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Answer: B

Step-by-step explanation:

jeff can solve 16 math problems in 25 minutes. How many problems can he solve in 42 minutes?

Answers

Answer:

27

step by step explanation

from the explanation,

let the number of maths that can be solved in 42 minutes = X

16 maths--------------25minutes

x maths --------------42 minutes

cross multiplying

X×25= 16×42

dividing bothsides by 25

25X/25 = 16×42/25

X = 672/25

X = 26.88 = 27 (approximately)

therefore 27 problems can be solved in 42 minutes

Find the area of a trapezoid with bases of 10 inches and a height of 5 inches?

Answers

Answer:

50in^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2}(h)\\ \frac{10+10}{2}(5)[/tex]

Given that XY is a line segment with the angle a = 46 degrees, work out the value of the angle marked b.
B = ?

Answers

Answer:

The answers should be b=44°

Step-by-step explanation:

b=180°–90°–a

b=180°–90°–46°

b=44°

PLEASE HELP ME ON THIS ONE

Answers

Answer:

8m

Step-by-step explanation:

Find the volume of the sphere first :

V sphere = [tex]\frac{4}{3}[/tex] π 6^3 = 902.51

Then use the volume of the sphere to find the height :

Formula = V/π[tex]r^{2}[/tex]

902.51/π(6)^2 = 8.004 (rounded is 8)

hope this helped :)

Answer:

8 m

Step-by-step explanation:

Given,

Volume of sphere = Volume of cylinder

Radius ( r ) = 6 m

Formula : -

Volume of sphere = 4/3 πr³

Note : -

The value of π is 3.14

Volume of sphere

= 4/3 x 3.14 x 6³

= 4/3 x 3.14 x 6 x 6 x 6

= 904.32 m³

Hence,

The volume of sphere is 904.32 m³.

Since,

Volume of sphere = Volume of cylinder

So,

Volume of cylinder = 904.32 m³

Formula : -

Volume of cylinder = πr²h

πr²h = 904.32

3.14 x 6 x 6 x h = 904.32

113.04 x h = 904.32

Divide 113.04 on both sides,

h = 904.32 / 113.04

h = 8 m

kyle is pulled back on a swing so that the rope forms an angle of 30 degress with the vertical the distance from the top of the swing set directly to the ground is 12 feet find kyles height off the ground

Answers

Answer:

12 ft - 2 ft = 10 ft

The rope is 10 feet long.

10 · cos 30° = 10 · √3 / 2 = 8.66 ft

x = 12 - 8.66 = 3.34 ft

Answer:

A ) 3.34 feet

HELP ASAP PLSS
A local water park has two types of season passes. Plan A costs a one-time fee of $143 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $52 for parking plus $21 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

OMG. I GOT IT ITS 7.

In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?

Answers

Answer:

4:1

Step-by-step explanation:

There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't

Use f(x)=x^2+4x-12 Does the graph of a function open upward or downward?

Answers

Answer:

Upward

Step-by-step explanation:

Because of the positive leading coefficient, the graph of the function will open upwards, being a parabola.

answer upwards stepg by stepg explanition because the postivie leafingn coefficient the graph of rhe function will
open upwards and being a parabpla

I think of i take away 5 the results is 14 what number did i think of

Answers

Answer:

19.

Step-by-step explanation:

Let the number you think of be x, then:

x - 5 = 14.

x - 5 + 5 = 14 + 5

x = 19.

Someone help me find the length of ST please!

Answers

Answer:

10

Step-by-step explanation:

I calculated and it's 10 I'm in car so I can't give the whole explanation

A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production​

Answers

Answer:

D

Step-by-step explanation:

It makes the most sense


What is more than 11 but less than 12?

Answers

Answer:

136

Step-by-step explanation:

Answer:

There are infinite numbers that fit this range, but one is 11.5

Find the unit rate.

392 orders in 4 days =
orders per day

Answers

---Divide the numerator and denominator by 4. We do this because we want to know how many orders are in 1 day and 4 / 4 = 1.

392 orders / 4 days

98 orders / 1 day

Hope this helps!

In a sale, the normal price of a bicycle is reduced by 35%.
The sale price of the bicycle is £585
Work out the normal price of the bicycle.

Answers

The answer is 380.25
Explanation: I did the math

I need help! Asap please.

Answers

The area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

Given points of the triangle are:-

( -6,5 ) (-5,3 ) and (-8, 2)

Now we will apply the area formula for the triangle:-

[tex]A = \dfrac{1}{2} \times B\times H[/tex]

The base will be = [tex]\sqrt{(-5++8)^2+(3-2)^2)}=\sqrt{9+1}=\sqrt{10}}[/tex]

The Height will be = [tex]\sqrt{(-5+6)^2+(5-3)^2}=\sqrt5[/tex]

The area will be calculated as:-

[tex]A =\dfrac{1}{2}\times \sqrt{10}\times \sqrt{5}=\dfrac{5\sqrt{2}}{2}}[/tex]

Therefore the area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]

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Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5

Im a bit confused on this type of probability so I would love an explanation so I can figure out the answer for myself

Answers

Answer:

1/3

Step-by-step explanation:

i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.

If a circular playground has an area of 144 m2. What is the diameter of the playground?

Answers

Answer:

The diameter is about 13.55m

Step-by-step explanation:

Calculator

Which statements are true? check all that apply. the total possible outcomes can be found using 52c5. the total possible outcomes can be found using 52p5. the probability of choosing two diamonds and three hearts is 0.089. the probability of choosing five spades is roughly 0.05 the probability of choosing five clubs is roughly 0.0005.

Answers

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The true statements about the cards are

The total possible outcomes can be found using 52C5. The probability of choosing five clubs is roughly 0.0005.

What is Probability?

Generally,  Probability is simply defined as the position or attribute of being likely.

In conclusion, The accurate assertions are: The total number of potential outcomes may be calculated using 52C5, and the chance of selecting five clubs is around 0.0005.

CQ

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply. The total possible outcomes can be found using 52C5. The total possible outcomes can be found using 52P5. The probability of choosing two diamonds and three hearts is 0.089. The probability of choosing five spades is roughly 0.05 The probability of choosing five clubs is roughly 0.0005.

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Answer:

A & D

Step-by-step explanation:

E2020 Geometry B!! :33

fully factorize

6xy-2x+3z-9zy

Answers

Answer:

(2x−3z)(3y−1)

Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)

(2x−3z)(3y−1)



Boyle's Law says that the volume of a gas varies Inversely with the pressure. When the volume of a certain gas is 2 L, the pressure is 290 kPa (kilopascals).
What is the pressure when the volume is 5 L?

Answers

P1V1=P2V2. P2=290x2/5=116 kpa

What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2

Answers

The area of the shaded region or portion in the circle is (25π - 24) cm².

How to find the area of the shaded portion in the circle?

The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.

Therefore,

area of the circle = πr²

where

r = radius

area of a triangle = 1/ 2 bh

where

b = baseh = height

Therefore,

r = 5 cm

area of circle = 5²π = 25π cm

area of one triangle = 1 / 2 × 6 × 4 = 12 cm²

The area of the two triangles = 2(12) = 24 cm²

Hence,

area of the shaded portion = (25π - 24) cm²

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Need help please answer ASAP!
25&26

Answers

Answer:

40° and 6

Step-by-step explanation:

25. Let's suppose the angles as 2x and 7x

Then,

2x + 7x = 180°

or, 9x = 180°

or, x = 180°/9

or, x= 20°

Now, 2x is smaller

So, 2x = 2× 20° = 40°

26. Solution,

Each exterior angle = 360°\n

or, 60° = 360°/n

or, 60°n = 360 °

or, n = 360°/60°

or, n=6

As, Hexagon has 6 sides.

#26

Any polygon has sum of exterior sides as 360°

No of sides

360/60=6

#25

Let the angles be 2x and 7x

2x+7x=1899x=180x=180/9x=20°

Smallest angle=2(20)=40°

I need helppppppp :((​

Answers

The value of minor arc, major arc and central angles given below:

What is an arc?

An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.

Given: BOF= 126

angle BOF= angle COE= 126 (Vertically opposite angle)

Now,  

angle BOF + angle BOC= 180   (Linear pair)

     BOC=180-126= 54

and, COE= COD+ DOE

              = COD+COD

        126       =2COD

      COD= 63

now, BOD= BOC++COD

                 = 54+63

                = 117

Arc length of BCD= 87/360*2πr

= 2.041r

2. minor arc:

arc BF= 126/360* 2πr

           = 2.198r

arc FE= 54/360*2πr

          = 0.942r

arc DE= 63/360*2πr

          = 1.099r

arc CD= 63/360*2πr= 1.099r

arc CDE=126/360*2πr

             = 2.198 r

3. major arc

 arc BFED= 243/360*2πr

                 = 4.239r

arc FBCD=  243/360*2πr

                 = 4.239r

arc DCBFE= 297/360*2πr

                  = 5.181r

arc CBFE= 234/360*2πr

               = 4.082r

4. 6 central angles

  BOC= 54= FOE

  COD=63=DOE

BOF=126

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When graphing an inequality, what is drawn to show that the number named
in the inequality is included in the solution?

Answers

Answer:

The line would be a solid line.

Step-by-step explanation:

To draw inequality graphs, solid lines represent [tex]\geq or \leq[/tex] and dotted lines show > or <. Hope this helps.

Check all statements that are true. If none are true click “None”
A- Since it is a repeating decimal, 14.19 is irrational.
B- Since it is a terminatingdecimal, 12.19 is rational.
C- Since 16 is a perfect square,
16 is irrational
D- Since 6 is not a perfect square, 6 is rational.
E- Since it’s a ratio of two integers 11/3 is rational

Answers

Answer:

B and E are True.

Step-by-step explanation:

B 12.19 is a terminating decimal so it is rational.

E its a ratio of 2 integers so its rational.

A -  is  not repeating so this is false.

C. a perfect square is rational - 16 can be written as 16/1.

D. 6 is rational because it can be written as 6/1  not because its not a perfect square.

Which is equivalent to (3√125)*?

Answers

Answer:

33.5410196625 ????

Step-by-step explanation:

Simplify $\frac{4}{\sqrt{3}}$

Answers

The fraction in simplest form is 4 sq root 3/3
Decimal form is 2.3094

An apple orchard's workers pick 12,500 apples in the month of October. A sample of 500 of these apples shows that 30 of them are damaged. what is the best estimate of the percentage of apples picked at the orchard in October that are damaged?

Answers

The best estimate of the percentage of apples picked at the orchard in October that is damaged will be 6%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

An apple orchard's workers pick 12,500 apples in the month of October.

A sample of 500 of these apples shows that 30 of them are damaged.

Then the best estimate of the percentage of apples picked at the orchard in October that is damaged will be

P = 30/500 x 100

P = 6%

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