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jeyben [28]
2 years ago
13

A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X

Mathematics
1 answer:
Fiesta28 [93]2 years ago
3 0

Answer:

greatest value of X = 12

Area of square = 144 cm²

Step-by-step explanation:

The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The highest common factor between both factors of 48 and 60 is 12.

Thus,

greatest value of X = 12

Area of square = 12 × 12

Area of square = 144 cm²

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Pls help me with this question
igor_vitrenko [27]

Answer:

D, C

Step-by-step explanation:

for part a, there is a negative slope with the graph shifted two units upwards

for part b, if you plug in C, you get an answer that works

8 0
2 years ago
12(3+m) <br> A.36m<br> B.36+m<br> C.36+12m<br> D.3m+12m<br> PLEASSSSEEE HELP ASAP 15
kherson [118]

Answer:

C. 36+12m

Step-by-step explanation:

When you distribute a number outside the parenthesis, you multiply it to all numbers nor letters in the parenthesis. Hopes this helps

8 0
2 years ago
In the diagram, the length of segment BC is 23 units.
timurjin [86]

Both sides should be the same length..

Since we know that BC = 23 you need to find the value of x and put it in the formula.

23 = 2x+7

16 = 2x

x = 8

4x + 1 + 4(8) + 1 = 33 units

4 0
3 years ago
Read 2 more answers
(-2x+3y=8....(i)<br>( x+y=2.........(ii)<br>solve by elumination method and substitution​
yan [13]

Answer:

 x = -2/5

 y = 12/5

Step-by-step explanation:

Substitution method;

-2x + 3y = 8  -----------(i)

x + y =2   -----------(ii)

x = 2 - y

substitute the value of x in equ (i)

  (-2)* (2-y) + 3y = 8

     -4 + 2y + 3y = 8

                   5y = 8 + 4

                     y = 12/5

substitute the value of y in equ (ii)

x + 12/5 = 2

        x = 2 - 12/5

           = 2*5/1*5 - 12/5  

          = 10 -12/5 = -2/5

Ans: x = -2/5

       y = 12/5

elimination method:

-2x + 3y = 8  -----------(i)

x + y =2   -----------(ii)

                                    (i)   ====>    -2x + 3y = 8

multiply equ (ii) by 2         ====>    <u>  2x + 2y = 4</u>

             add (i) and (ii)                             5y = 12

                                                                   y = 12/5

Substitute in equ (ii)

x + 12/5 = 2

        x = 2 - 12/5

           = 2*5/1*5 - 12/5  

          = 10 -12/5 = -2/5

Ans: x = -2/5

       y = 12/5

                                                       

               

5 0
3 years ago
Read 2 more answers
Passes through (3, 4) and (5, -4) how do I solve​
nikitadnepr [17]

Answer:

y = - 4x + 16

Step-by-step explanation:

Assuming you require the equation of the line passing through the points.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)

m = \frac{-4-4}{5-3} = \frac{-8}{2} = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 4), then

4 = - 12 + c ⇒ c = 4 + 12 = 16

y = - 4x + 16 ← equation of line

8 0
3 years ago
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