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dybincka [34]
4 years ago
8

The difference of two numbers is 42. the larger number is three less than six times the smaller number. find the numbers.

Mathematics
1 answer:
IgorLugansk [536]4 years ago
5 0
X and y are the numbers
x>y

diffference is 42
x-y=42

larger is 3 less than 6 times smaller
x=-3+6y

subsitute -3+6y for x

x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9

sub back

x=-3+6y
x=-3+6(9)
x=-3+54
x=51

the numbers are 51 and 9
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H0 : μd = 0

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Step-by-step explanation:

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8 0
3 years ago
What is the solution to the equation –3.5(x + 12) = –2x + 18?
Andrei [34K]

Answer:

x = -4.36364

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3.5(x + 12) = -2x + 18

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3.5:                    3.5x + 42 = -2x + 18
  2. Add 2x on both sides:       5.5x + 42 = 18
  3. Isolate <em>x</em> term:                    5.5x = -24
  4. Isolate <em>x</em>:                             x = -4.36364
7 0
3 years ago
Read 2 more answers
What is the range of data sets​
tiny-mole [99]

the highest number and the lowest number of a set

EX: 1,5,6,8,3,8,5

Range is 1-8

7 0
3 years ago
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Should be easy points!
Andru [333]

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3

4 0
3 years ago
A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5
Oxana [17]

Answer:

L(x) = 11 - 2x

W(x) = 8.5 - 2x

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Step-by-step explanation:

If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.

FORMULA FOR LENGTH:

Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:

<u>L(x) = 11 - 2x</u>

FORMULA FOR WIDTH:

Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:

<u>W(x) = 8.5 - 2x </u>

FORMULA FOR VOLUME:

Volume is the product of length, width and time:

V(x) = L(x)*W(x)*H(x)

Height must be equal to the side folds which are equal to length of the side of square = x:

H(x) = x

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8 0
4 years ago
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