What's 27-18r using distributive property

Answers

Answer 1
Answer:

The simplified form of expression is 9 (3 - 2r).

Used the concept of distributive property,

The distributive property states that an expression that is given in the form of A (B + C) can be solved as A × (B + C) = AB + AC.

Given that the expression is,

27 - 18r

Apply the distributive property on the expression and it can be written as,

27 - 18r

Since LCM {27, 18} = 9

So, take 9 as a common term,

27 - 18r = 9×3 - 9×2r

            = 9 (3 - 2r)

Therefore, the solution of the expression is, 9 (3 - 2r)

To learn more about the distributive property visit:

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Answer 2
Answer: The distributive property: a(b - c) = ab - ac

27 - 18r = 9·3 - 9·2r = 9(3 - 2r)

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Decrease £270 by 25%

Can someone help me with these problems? I know the formulas but don't know how to apply it? I'm not that good with word problems. I wrote the answers in a separate sheet just want to compare with someone please!( not to be mean but can S27111855 stop replying your not a big help!)

Answers

ok so you know that
V=LWH
basically
volume=height times base area


so
2. V=3 times 8 times 12=288 cm^3

3. triangular prism is 1/2 of the volume of a similar rectangular prism with same measure so
V=1/2 times 4 times 10 times 15=300 cm^3
 
4. trapezoid base area=area of a trapezoid=(base1+base2)/2 times height so
baseaea=(4+10)/2 times 6=7 times 6=42, then basearea times height=42 times 10=420cm^3

5. cylinder area=base area times height
base=circle=pir^2
r=1/2diameter
6/2=3
base=pi3^2=9pi
area=9pi times 12=108pi cm^3

6. 24pi=4 times pir^2
divide by 4
6pi=pir^2
divd e pi
6=r^2
√6 cm=r

7. square pyramid volume=1/3 volume of similar rectangular prism so
square means base=4 times 4=16
height=9
rectangular volume=16 times 9
pyramid voluume=1/3 times 16 times 9=48 cm^3

8. solve for base side
use pythagorean theorem
slant height=hyposonuse=13
base edge=2 times of 1 of the legs so 10/2=5
so
5^2+x^2=13^2
25+x^2=169
x^2=144
x=12
height of pyramid=12
volume=1/3 times 10 times 10 times 12 times=400 cm^3




2. C
3. B
4. A
5. C
6. B
7. C
8. A

Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?

Answers

This is an example of the difference of squares.

a^2 - b^2 = (a-b)(a+b)

So to find the product of (9y² – 4x)(9y² + 4x), we use the formula for the difference of squares.

(9y^2 - 4x)(9y^2 + 4x)\n\n=(9y^2)^2 -(4x)^2\n\n=\boxed{\bf{81y^4 - 16x^2}}

7 times as much as the sum of 1/3 and 4/5

Answers

7( (1)/(3) +  (4)/(5) )

=7( (1(5))/(3(5)) +  (4(3))/(5(3)) )

=7( (5)/(15) +  (12)/(15) )

=7( (17)/(15))

=(7)/(1) ( (17)/(15))

=(119)/(15)

= 7(14)/(15)≈ 7.93

¹¹⁹/₁₅ or 7¹⁴/₁₅ or 7.93

Further explanation

The Problem:

  • 7 times as much as the sum of (1)/(3) and (4)/(5)
  • Write an expression to match, and then solve it.

The Process:

Here are some early expressions that need attention.

  • one-third is \boxed{(1)/(3)}
  • four-fifth is \boxed{(4)/(5)}
  • the sum of (1)/(3) \ and \ (4)/(5) is \boxed{(1)/(3) + (4)/(5)}

Let us write an expression to match for 7 times as much as the sum of (1)/(3) and (4)/(5)

\boxed{\boxed{ \ 7 * \bigg((1)/(3) + (4)/(5) \bigg) \ }}

Let us calculate the operation in parentheses at first.

\boxed{(1)/(3) + (4)/(5)}

A least common multiple of 3 and 5 is 15. We use to equate the denominator.

\boxed{(1 * 5)/(3 * 5) + (4 * 3)/(5 * 3)}

\boxed{(5)/(15) + (12)/(15)}

\boxed{(17)/(15)}

And now we solve the full expression.

\boxed{ \ = 7 * \bigg((1)/(3) + (4)/(5) \bigg) \ }

\boxed{ \ = 7 * (17)/(15) \ }

We do not cross out 7 and 15 because they both cannot be divided.

\boxed{ \ = (119)/(15) \ }

\boxed{\boxed{ \ = (119)/(15) \ }}

In mixed fraction:

\boxed{ \ (119)/(15) = \ ? \ }

\boxed{ \ = (105)/(15) + (14)/(15) \ }

\boxed{ \ = 7 + (14)/(15) \ }

\boxed{\boxed{ \ = 7(14)/(15) \ }}

In decimal:

\boxed{ \ 7(14)/(15) = \ ? \ }

\boxed{ \ (14)/(15) = 0.93 \ }

\boxed{ \ = 7 + (14)/(15) \ }

\boxed{ \ = 7 + 0.93 \ }

\boxed{\boxed{ \ = 7.93 \ }}

\boxed{\boxed{ \ Thus, \ the \ result \ is \ (119)/(15) \ or \ 7(14)/(15) \ or \ 7.93 \ }}

- - - - - - - - - -

Quick Steps:

\boxed{ \ = 3 * \bigg((1)/(3) + (4)/(5) \bigg) \ }

\boxed{ \ = 3 * \bigg((5 + 12)/(15) \bigg) \ }

\boxed{ \ = 3 * \bigg((17)/(15) \bigg) \ }

\boxed{\boxed{ \ = (119)/(15) \ }}

\boxed{\boxed{ \ = 7(14)/(15) \ }}

\boxed{\boxed{ \ = 7.93 \ }}

Learn more  

  1. 7 copies of the sum of 8 fifths and 4 brainly.com/question/961462
  2. (2)/(3) of the product of (3)/(8) and 16 brainly.com/question/961462
  3. 15 times as much as 1 fifth of 12 is brainly.com/question/348151

Keywords: 7 times, as much as, the sum of 1/3 and 4/5, write an expression to match, and then solve, the result, in mixed fraction, decimal, ¹³/₄ or 3¹/₄ or 3.25

A pilot flew a jet from location A to B, a distance of 2500 meter,on the return trip the average speed was 20 percent faster than the outbound speed,the round-trip took 9 hours 10 minutes . What is the jet's speed from A to B.

Answers

Answer: The jet's speed from A to B would be 5.5 km/hr.

Step-by-step explanation:

Since we have given that

Distance = 2500 meter

Outbound speed be x

Average speed be (100+20)/(100)x=(120)/(100)x=1.2x

Time = 9 hours 10 minutes = 9(10)/(60)=9(1)/(6)=(55)/(6)

According to question, it becomes,

(2.5)/(x)+(2.5)/(1.2x)=(55)/(6)\n\n(1.2x+x)/(1.2x^2)=(55)/(6* 2.5)\n\n(2.2x)/(1.2x^2)=(11)/(3)\n\n(2.2)/(1.2x)=(11)/(3)\n\n2.2* 3=1.2x\n\n6.6=1.2x\n\n(6.6)/(1.2)=x\n\nx=5.5\ km/hr

Hence, the jet's speed from A to B would be 5.5 km/hr.

The Guptas figured out the earth was round by observing lunar eclipses.
a. True
b. False

Answers

it is true. Guptas did figure out the earth was round by observing lunar eclipses.
the answer is A. true

The financial analyst at a small video game company develops the expression3.59g – 4960 to estimate the amount of profit per game sold (g) for a version upgrade of
one of its games. The company sets a goal of $75,000 profit on the game for the first
month of its roll out. How many games does the company need to sell in order to reach its
profit goal?
explain your work

Answers

Answer:

Break-even point in units= 22,273

Step-by-step explanation:

Giving the following information:

Contribution margin per game= $3.59

Fixed cost= $4,960

Desired profit= $75,000

To calculate the number of games to be sold, we need to use the following formula:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (4,960 + 75,000) / 3.59

Break-even point in units= 22,273