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sergij07 [2.7K]
3 years ago
5

What are the common factors of 10 25 and 75

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0
25 is the greatest common factor of 75 and 25. 3 x 25 = 75.
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A rectangle’s base is 6 cm longer than its height. The rectangle’s area is 135 cm2. Find this rectangle’s dimensions. You must i
il63 [147K]

Area of a rectangle  =  length x height

Area = 135

Height = X

Lenght = x +6

135 = x * x+6

Simplify:

135 = x^2 +6x

Subtract 135 from both sides:

x^2 + 6x - 135 = 0

Solve:

2 numbers when added need to equal 6 and when multiplied equal -135

x = 9 and x = -15

The height can't be a negative number so the height is 9

Length =  9 +6 = 15

Height = 9cm, Length = 15 cm

6 0
3 years ago
If 16 counters are 4/9, then what is the ONE?
notsponge [240]
36...

<span>divide your 16 by 4, so that you have 1/9. You then multiply the resulting number(4) by your denominator, 9. 4 times 9 = 36</span>
6 0
2 years ago
Read 2 more answers
A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos
andrezito [222]

Answer:

x  =  1,5 cm

h  =  6  cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b)  = 13,5 cm³

Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

8 0
3 years ago
Please HELP!<br><br> 1) Enter 6/12 in simplest form.<br><br> 2) Enter 18/21 in simplest form.
scoray [572]
1) 1/2

2) 3/7
that is the answer
6 0
3 years ago
Read 2 more answers
Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determin
LenKa [72]

Answer:

The equation is:

409 = T - 223

And the solution is:

T = 632

Step-by-step explanation:

Given

Represent Kiran with K and Tyler with T

Kiran score is represented as:

K = 409

Also, Kiran scored 223 less than Tyler.

This is represented as:

K = T - 223

Substitute 409 for K

409 = T - 223

Make T the subject

T = 409 +223

T = 632

5 0
3 years ago
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