Choose all properties that were used to simplify the following problem:
(38 +677) + (-38)

[677 + 38) + (-38)
677 + [38 + (-38)]
677 + 0
677
additive identity
additive inverse
commutative property of addition
associative property of addition
distributive property

Answers

Answer 1

The properties 1‚ 2‚ 4‚ and 5. are used

Choose All Properties That Were Used To Simplify The Following Problem:(38 +677) + (-38)[677 + 38) +
Answer 2

The properties used to simplify problem are 1 , 2 and 4.

A problem which is simplified is given ; (38 +677) + (-38).

What are the correct options ?

How will you represent the associative properties of addition ?

Associative properties are represented by ;  (A + B ) + C = A + ( B + C ).

As per the data given in question ;

Let's check which options are suitable.

( 38 + 677 ) + ( -38 ) = 38 + ( 677 - 38 )

(A + B ) + C = A + ( B + C )

So , this is the associative property.

677 + 0 = 677

A + 0 = A

So , this is the additive identity.

677 + [38 + (-38)]

Here ; 38 + ( -38 ) represents ;

A + (-A) = 0.

So , this is the additive inverse.

Thus ,  the properties used to simplify problem are 1 , 2 and 4.

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Related Questions

Cada par de numeros esta a razon de 2:3

Answers

(0,8)+(7,-52) eso es la problema

What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place

Answers

Answer:

1608.5 cm³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h

If the diameter is 16 cm, then the radius is 8 cm.

Plug in the radius and height into the formula, and solve:

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](8)²(8)

V = [tex]\pi[/tex](64)(8)

V = 1608.5

So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³

4. RE and RD are tangent to circle M. If RE measures 8.4 cm, what is the measure of RD?

Answers

Answer:

B. 8.4

Step-by-step explanation:

RE and RD are equal

I hope this helps!

pls ❤ and mark brainliest pls!

The population of a large U.S. city is 2,707,210. Which of the following best expresses this population?
A 2.7 × 106 C 2.707 × 106
B 2.7 × 107 D 27.07 × 106

Answers

Answer:

2.707 * 10^6

i think it is the best expression

Dylan and 6 of his friends ate lunch together. The restaurant charges 18% for gratuity for groups of 6 or more people, and tax is 6%. Their total bill, without tax and gratuity was $98. Part 1 Which expression will find the additional charge, in dollars, Dylan and his friends will need to pay? A. 98 + (0.18 + 0.6) B. 98(0.6 + 0.18) C. 98(0.06 + 0.18) D. 98(0.18) + 0.06

Answers

Answer: C: $98*(0.06 + 0.18)

Step-by-step explanation:

Always when we have a percentage X% of charge of an amount of money, suppose $100.

The actual cost will be:

(x)*$100 = C.

Where x is the decimal representation of X%:

x = (X%/100%)

In this case, we have two additional charges:

One of 18% and another of 6%.

First we can write them in decimal form:

18%/100% = 0.18

6%/100% = 0.06.

If the price without tax is $98, then the price with the charges will be:

P = (0.18 + 0.06)*$98

The correct option is C.

Answer:

The answer is C hope this helps!

Step-by-step explanation:

how do you find the surface area of this triangular prism?

Answers

To find the area of a triangular prism you have to do A 1/2 bh or A bh/2 which means you have to multiply those two fractions and reduce them

Answer:

Find the area of the 2 triangle faces first and then find the area of the 3 rectangle faces and add them together to get [tex]159cm^{2}\\[/tex]

Step-by-step explanation:

Step 1: Find the surface area of the 2 triangles

[tex]\frac{(6)(5.5)}{2}[/tex] x2 = [tex]33cm^2\\[/tex]

Step 2: Find the surface area of the 3 rectangles

(6x7) x 3 = [tex]126cm^2[/tex]

Step 3: Add the 2 surface areas together

[tex]33cm^2\\[/tex] + [tex]126cm^2[/tex] = [tex]159cm^2[/tex]

Therefore the surface area of the prism is [tex]159cm^{2}[/tex]

Latanya buys 5 yard of blue fabric and 8 yards of green fabric. the blue fabric cost $2 dollars more than the green fabric.she pays a total of $ 62. what would be the combined cost of 1 yard of blue fabric and one yard of green fabric?

Answers

Answer: $10

Step-by-step explanation:

let x = the price of green fabric, then x+2 = blue fabric price

8x+5(x+2)=62

8x+5x+10=62

    13x+10=62

          13x=52

              x=4

price of green fabric=$4

price of blue fabric=$6

4+6=$10

Each coffee pot hold 6 cups of coffee we sell 10 cups of coffee every fifteen minutes how many pots of coffee do I need to make in an hour?

Answers

Answer:

7 pots of coffee (If you want to be precise its 6 2/3)

Step-by-step explanation:

So basically you need 10 cups of coffe in fifteen minutes, so 60/15=4 then time 10. so 40 is how much coffee you need in a hour, but we are solving the pot so 40/6= 6 2/3. but it says how many pots so we round it up so its 7. (Unless you wanna be precise)

1 hour=60 minutes
every 15 min, 10 sold
60/15=4
4(10)=40 sold in 1 hour
1 pots=6 cups
1/x=6/40
x=6.6
pots must be integer
x=7
number of pots of coffee is 7

HURRY ASAP 80 (I NEED THIS ANSWER BY TONIGHT OR TOMORROW)
Discussion Topic
Is there more than one way to find the slope of a line? If so, describe both methods of solving for slope.

Answers

Answer:

yes there are more than one ways to find slope of a line.

Step-by-step explanation:

When both the points are given of same line we may use formula to find slope.

If equation of line is given we can convert it into slope intercept form and then we can find slope.

At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 16 computer chips is taken. What is the probability of thesample mean

Answers

THIS IS COMPLETE QUESTION

computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?

Answer:

the probability is P=0.045

Step-by-step explanation:

We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter

We were given

σ=0.1

n=16

We calculate:

Z=(0.95-1)/0.1 √16

Z=-0.125

Using the standard z- tables. to get the probability we have

P(X<0.95)=P(z<-0.115)=0.045

Therefore, probability is P=0.045

Identify the sample as biased or unbiased and describe its type. John wanted to know about the popularity of a particular movie. He surveyed 20% of the people in 5 different theaters.

Answers

Answer: unbiased; simple random sampling

Step-by-step explanation:

From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.

This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.

Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.

what is the radical of 5√72 PLZ HELP!

Answers

Answer: Exact Form: 30√2

Decimal Form:42.42640687…

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

I hope this helped :)

Answer:

  30√2

Step-by-step explanation:

The radical portion of the given expression is √72.

__

Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.

  [tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]

at the rate of 50 mph a car can travel 14.6 miles for each gallon of gas used. On a trip Mr. Hanson used 12.5 gallons of gas traveling at a speed of 50 mph. the number of miles covered during the trip was:

Answers

Answer:

182.5 miles in the rate of 50 mph.

Step-by-step explanation:

1 gallon = 14.6 miles in the rate of 50 mph

12.5 gallons = ?

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

The number of miles covered during the trip was 182.5 miles.

Given that, at the rate of 50 mph, a car can travel 14.6 miles for each gallon of gas used. On a trip, Mr Hanson used 12.5 gallons of gas travelling at a speed of 50 mph.

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, 1 gallon = 14.6 miles at the rate of 50 mph

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

Therefore, the number of miles covered during the trip was 182.5 miles.

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If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.

Answers

Answer:

True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.

Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.

Answers

Answer:

Hey there!

x+x+1/4+x+2/4

3x+0.75=6.75

3x=6

x=2

The lines are 2, 2 1/4, and 2 2/4.

Let me know if this helps :)

The three numbers or parts are 2 , 2 1/4 and 2 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be n = 6 3/4

Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,

Let the first divided number be = x

So , the second number will be 1/4 more than the first number

Second number = x + 1/4

And , the third number will be 1/4 more than the second number

Third number = x + 1/4 + 1/4

                       = x + 2/4

                       = x + 1/2

Now, the equation will be

The sum of all three numbers = 6 3/4

So ,

x + ( x + 1/4 ) + ( x + 1/2 ) = 6 3/4

3x + 3/4 = 6 3/4

Subtracting 3/4 on both sides , we get

3x = 6

x = 2

Substituting the values of x in the equation , we get

First number = 2

Second number = 2 1/4

Third number = 2 1/2

Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2

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Find the missing side. PLEASE HELP FAST !

Answers

Answer:

It is 28.5m. Hope this helps!! Have a good day..

Given TS¯¯¯¯¯¯¯ and TU¯¯¯¯¯¯¯ are midsegments, PR=18.2, TS=6.5. Find QU . A. 9.1 B. 3.25 C. 13 D. 6.5

Answers

Answer:

The correct option is;

D. 6,5

Step-by-step explanation:

TS and TU are midsegments

Segment PR = 18.2

Segment TS = 6.5

Given that TS is the midsegment of PR and PQ, therefore, TS = 1/2×QR

Which gives;

Segment QR = 2×TS = 2 × 6.5 = 13

Segment QR = 13

Given that TU is a midsegment to PQ and QR, we have that QU = UR

Segment QR = QU + UR (segment addition postulate)

Therefore, QR = QU + QU (substitute property of equality)

Which gives;

QR = 2×QU

13 = 2×QU

Segment QU = 13/2 = 6.5

The length of segment QU is 6.5.

s
If point C is between points A and B and AB = 41, AC = 5x, BC = 3x – 7,
what is the value of x?
I NEED HELP ASAP

Answers

Answer:

x=6

Step-by-step explanation:

We know that point C is in the middle of point A and point B.

That means that when these two equations are added they should be equal to the length of AB which is 41.

5x+3x-7=41

add 7 to both sides

8x=48

divide both sides by 8.

x=6

PLEASE HELP ASAP!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.


A. 146.85 units²

B. 45+9√3 units²

C. 36+9√3 units²

D. 36+3√3 units²

Answers

The total surface area of the pyramid is 52 square units

The formula for calculating the area of the triangular based pyramid is expressed as;

[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;

p is the perimeter of the base

s is the slant height

Get the Base area

[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]

Get the perimeter

Perimeter = 5 + 5 + 6

Perimeter = 16 units

Slant height = 5units

Substitute the given values into the formula above as shown;

[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]

Hence the total surface area of the pyramid is 52 square units

Learn more here: https://brainly.com/question/23353623

Answer:

52squnits

Step-by-step explanation:

What is the 1st mistake...

Answers

Answer:

[tex]\huge\boxed{Step \ 3}[/tex]

Step-by-step explanation:

In Step # 3, We need to divide rather than to subtract. So, the first mistake is done in step 3.

Answer:

[tex]\Large \boxed{\mathrm{Step \ 4}}[/tex]

Step-by-step explanation:

[tex]20 +20 \div 4-2[/tex]

Division should be performed first, not subtraction.

[tex]20+5-2[/tex]

Suatu jenis bakteri, setiap detik akan membelah diri menjadi dua, jika pada saat permulaan ada 5 bakteri, berapakah jumlah bakteri setelah 10 detik? (geometric series=deret geometri)?

Answers

Answer:

Vc. Tính giai cấp

Step-by-step explanation:

If you continue to subtract 6, what is the last number in the sequence before you get to 0? Explain how you got this answer.

Answers

Answer:

  6

Step-by-step explanation:

If x represents the last number, to get zero you must subtract 6 from it:

  x - 6 = 0

  x = 6 . . . . . . add 6 (undo the subtraction)

The last number before zero is 6.


A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 4 centimeters long, and the height of the equilateral triangle is 3.5 centimeters. The pyramid's slant height is 8 centimeters. What is its surface area?

Answers

Answer:

The surface area is 55 cm².

Step-by-step explanation:

The formula to compute the surface area of the triangular pyramid is:

[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]

Here h is the slant height.

Compute the Base perimeter as follows:

Perimeter of the equilateral triangle = 3 × side

                                                            = 3 × 4

                                                            = 12 cm

Compute the Base area as follows:

Area of the equilateral triangle = 0.50 × side × height

                                                    = 0.50 × 4 × 3.50

                                                    = 7 cm²

Compute the surface area as follows:

[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]

     [tex]=(0.50\times 12\times 8)+7\\=48+7\\=55\ \text{cm}^{2}[/tex]

Thus, the surface area is 55 cm².

25 POINTS! FIRST TO ANSWER ****CORRECTLY**** GETS BRAINLIEST!

What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

To divide 2635 by 17 using long division method, we simply do the following:

2635 ÷ 17

17 can not go into 2. Therefore, we try 17 into 26, keeping 35 constant.

26 ÷ 17 = 1

Put the 1 on top.

Multiply 17 by 1

17 x 1 = 17

Subtract 17 from 26

26 – 17 = 9

Put the 9 in from of 35 to become 935

Next:

935 ÷ 17

17 can not go into 9. Therefore, we try 17 inot 93 keeping 5 constant.

93 ÷ 17 = 5

Put the 5 on top together with the 1 to become 15.

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 93

93 – 85 = 8

Put the 8 in front of 5 to become 85

Next:

85 ÷ 17

17 can not go into 8. Therefore, we try 85

85 ÷ 17 = 5

Put the 5 on top together with 15 to become 155

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 85

85 – 85 = 0

Since no number is remaining, we shall stop here.

Therefore,

2635 ÷ 17 = 155

Please attached photo for further details.

the sum of two numbers A and B is 25. if one fourth of A is 1 more than one third of B, find the number A.

Answers

The number A is 16.
A=16, B=9
16+9=25
1/4(16)=4
1/3(9)=3
4 is 1 more than 3.

Hello pls Asap plsssss

Answers

Option 3 or 4 would be your correct answer

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x-1

Answers

Answer:

[tex]\displaystyle \boxed{y = -1\frac{1}{3}x + 22}[/tex]

Step-by-step explanation:

Parallel Equations have SIMILAR RATE OF CHANGES [SLOPES], so keep [tex]\displaystyle -\frac{4}{3}[/tex]as is and do this:

14 = −4⁄3[6] + b

14 = −8 + b

+ 8 + 8

_________

[tex]\displaystyle 22 = b \\ \\ y = -1\frac{1}{3}x + 22[/tex]

I am joyous to assist you at any time.

how do i solve this ?(x+3)(x-5)=

Answers

[tex](x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(x + 3)(x - 5) = x*x  + x *(-5)  + 3*x +  3*(-5)

                    = x² - 5x  +3x - 15  {add like terms}

                    = x² - 2x -15

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Answers

Answer:

53$

Step-by-step explanation:

They tell you the equation of how much the coin is worth after x amount of years

Step 1: Substitute x=19 into the equation y=2x+15

y = 2(19) + 15

Step 2: Solve for y

y = 2(19) + 15

y = 38 + 15

y = 53

Therefore the coin is worth 53 dollars after 19 years

Answer:

53

Step-by-step explanation:

Got it correct on Edu. 2020

State the leading coefficient of -9x^5+3x^2+3-7x+10x^3

Answers

Answer:

-9

Step-by-step explanation:

We need to write the terms from highest power to smallest power

-9x^5+10x^3+3x^2-7x+3

The leading coefficient is the number in front of the highest power

-9

Answer:

-9

Step-by-step explanation:

In a polynomial, the leading coefficient is the coefficient to the variable with the largest exponent.

In this polynomial, the variable with the largest exponent is x^5.

The leading coefficient is the number in front of the variable. In this case, the leading coefficient is -9.

So, the leading coefficient is -9.

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