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maks197457 [2]
3 years ago
13

Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks

does her sister have?
Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be x , and let the number of pairs Lucy has be y.

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

\frac{1}{3}x + 4 = y    .............................. equation 1

Also ,  Lucy has at most 9 pairs of socks , this means that

y\leq 9 ....................................... equation 2

Equating the two equations , we have

\frac{1}{3}x + 4 \leq 9

multiply through by 3

x + 12\leq 27

subtract 12 from both sides

x\leq 15

Therefore , the sister has at most 15 pairs of socks

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vladimir2022 [97]

The equation that best describes the distance traveled is y = 190 + 65x.

Finding the values of the variables that lead to the stated equality being true is a step in the process of solving an equation with variables. Equation solutions are the amounts of the unknowns that meet the equality, whereas unknowns are the variables with which the equation must be solved.

Identity equations and conditional equations are the two types of equations. For every possible value of a variable, an identity holds true. The variables in a conditional equation can only have certain values.

An equation is made up of two expressions connected together by an equals symbol ("=").

The Distance traveled by car is 190 miles

The Speed of the car is 65 miles per hour.

Let x be the total number of hours traveling by car and y be the total distance remaining.

Then,

Total distance = 190 miles + 65 miles per hour × Number of hours traveled.

y = 190 + 65x

Consequently, the equation is y = 190 + 65 x.

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7 0
11 months ago
What is the coefficient of 43k?
OLEGan [10]
43.
The coefficient of something is the numerical value in that term. For example, if we have 4x. The coefficient is 4.
4 0
3 years ago
Read 2 more answers
Solve:<br><br> (15/x)+(9x-7)/(x+2)=9
hram777 [196]

Answer:x=3

Step-by-step explanation:

D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

(9*x-7)/(x+2)+15/x = 9 // - 9

(9*x-7)/(x+2)+15/x-9 = 0

(x*(9*x-7))/(x*(x+2))+(15*(x+2))/(x*(x+2))+(-9*x*(x+2))/(x*(x+2)) = 0

x*(9*x-7)+15*(x+2)-9*x*(x+2) = 0

9*x^2-9*x^2+8*x-18*x+30 = 0

30-10*x = 0

(30-10*x)/(x*(x+2)) = 0

(30-10*x)/(x*(x+2)) = 0 // * x*(x+2)

30-10*x = 0

30-10*x = 0 // - 30

-10*x = -30 // : -10

x = -30/(-10)

x = 3

x = 3

3 0
3 years ago
Solve for the following equation<br><br> 9/4x + 1/3 = 5/2x
marshall27 [118]

Answer:

3/4

Step-by-step explanation:

plug values in for x till you get it right

7 0
2 years ago
Identify the perimeter and area of a square with diagonal length 11in. Give your answer in simplest radical form. HELP PLEASE!!
Nataliya [291]

Answer:

  • Perimeter = 22*sqrt(2)
  • Area = 60.5 inches
  • D

Step-by-step explanation:

Remark

You need 2 facts.

  1. A square has 4 equal sides.
  2. It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.

That means you can use the Pythagorean Theorem.

If one side of a square is a then the 1 after it is a as well.

Formula

  • a^2 + a^2 = c^2
  • 2a^2 = c^2

Givens

  • c = 11

Solution

  • 2a^2 = 11^2
  • 2a^2 = 121                    Divide by 2
  • a^2 = 121/2                  Take the square root of both sides
  • sqrt(a^2) = sqr(121/2)    
  • a = 11/sqrt(2)                Rationalize the denominator
  • a = 11 * sqrt(2)/[sqrt(2) * sqrt(2)]
  • a = 11 * sqrt(2) / 2

<em><u>Perimeter</u></em>

P = 4s

  • P = 4*11*sqrt(2)/2
  • P = 44*sqrt(2)/2
  • P = 22*sqrt(2)

You don't need the area. The answer is D

<em><u>Area</u></em>

  • Area = s^2
  • Area = (11*sqrt(2)/2 ) ^2
  • Area = 121 * 2 / 4
  • Area = 60.5


8 0
3 years ago
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