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Shalnov [3]
3 years ago
7

A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than

three times the opposite of the number. What is the number? *
Mathematics
2 answers:
34kurt3 years ago
8 0

Answer:

  • -24

Step-by-step explanation:

Let the number be x

<u>Then we have the equation</u>

  • (2x + 6)*(-3) = -3x + 54
  • -6x - 18 = -3x + 54
  • 6x - 3x = -18 - 54
  • 3x = -72
  • x = -72/3
  • x = - 24
FinnZ [79.3K]3 years ago
5 0
<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u></h2>

let the number be "x" .

now according to the given question ;

  • (2x+6)×(-3)=-3x +54
  • -6x -18 = -3x + 54
  • 6x - 3x = -18-54
  • 3x = -72
  • x = -72/3
  • x = -24
<h2 /><h2>The required answer is -24 .</h2>
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What is the factorization of 729^15+1000​
Nesterboy [21]

\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 729=27^2\\ \qquad (3^3)^2\\ 1000=10^3 \end{cases}\implies 729^{15}+1000\implies ((3^3)^2)^{15}+10^3 \\\\\\ ((3^2)^{15})^3+10^3\implies (3^{30})^3+10^3\implies (3^{30}+10)~~[(3^{30})^2-(3^{30})(10)+10^2] \\\\\\ (3^{30})^3+10^3\implies (3^{30}+10)~~~~[(3^{60})-(3^{30})(10)+10^2]

now, we could expand them, but there's no need, since it's just factoring.

3 0
3 years ago
Find the sum of <br> 2x^2- 8x– 6 and 9x^2-8
Rama09 [41]

Answer:

11x^2-8x-14

Step-by-step explanation:

(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14

5 0
3 years ago
Read 2 more answers
The volume of this storage container is 1,400 cubic inches. The length is 20 inches and the width is 14 inches.
Vitek1552 [10]

Answer:

<h2>A) Height is the missing measurment.</h2><h2 /><h2> B)  1,400= 20 × 14 × H</h2><h2 /><h2>C) 1400 ÷ H = 280</h2>

Step-by-step explanation:

A) Length × Width × Height

B) V is 1,400

    L is 20

    W is 14

    H is unknown so use a variable

C) 20 × 14= 280.

8 0
3 years ago
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Jamie wants to build a rectangular fence around a new garden. He can afford at most 70
KonstantinChe [14]

Option B is correct. <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>

The formula for calculating the perimeter of the rectangular fence is expressed as:

A = 2(L + W) where:

L is the length

W is the width

If Jamie can afford at most 70feet to build a rectangular fence is expressed as:

2L + 2W ≤ 70

<em>We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70</em>

On substituting:

= 2(9) + 2(22)

= 18 + 44

= 62 feet

Since 63 feet is less than 70 feet, hence we can conclude that <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>

<em />

<em>Learn more here: brainly.com/question/17229451</em>

8 0
2 years ago
PLEASE HELP ME WITH THIS, I WILL DO ANYTHING!!!
vitfil [10]

Mean is the "meanest" because it requires the most work. Add up the values in your data set and divide by the number of terms in the data.

Let x represent attendees at Harry's Hoedown, then

Mean = \frac{Martha's (M) + Shirly's (S)  + Harry's (x) }{3}

41 = \frac{48 + 33 + x}{3}

123 = 48 + 33 + x

123 = 81 + x

42 = x

Answer: 42

5 0
3 years ago
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