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Alex Ar [27]
4 years ago
14

Complete the factoring. 42x^4y^5 = 6x^2y•(?)

Mathematics
1 answer:
kaheart [24]4 years ago
8 0

Answer:

\tt 7x^2y^4

Step-by-step explanation:

\tt (?)=\cfrac{42x^4y^5}{6x^2y} =7x^{4-2}y^{5-1}=7x^2y^4

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WORTH 20 POINTS PLEASE HELP ME
horrorfan [7]
The answer is C.........

5 0
3 years ago
How to find three consecutive odd numbers whose product is 2145?
balu736 [363]
Hello : 
2145 = 11×13×3×5 ( prime factorisation  product)
2145 = 11×13×15
the <span>three consecutive odd numbers whose product is 2145 are : 11 , 13 ,15</span>
7 0
4 years ago
Here are the dimensions of the oven tray Jenny bakes the cakes on 600mm by 500mm. Each cake tin is 25 cm in diameter. How many c
storchak [24]
Given:
2 shapes: rectangle (tray) and circle (cake tin)

We need to find the area of each shape.

We need to convert mm to cm. 1mm = 0.1cm
600mm x 0.1cm/1mm = 60cm
500mm x 0.1cm/1mm = 50cm

Area of the Tray = 60cm * 50cm = 3,000cm²

Area of the cake tin = π r²
r = d/2 = 25/2 = 12.5cm

Area of the cake tin = 3.14 * (12.5cm)²
Area of the cake tin = 3.14 * 156.25cm²
Area of the cake tin = 490.625cm²

Area of the tray ÷ Area of the cake tin = number of cake tins that fit
3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins.

Only 6 cake tins Jenny can fit on the oven tray at one time.
7 0
4 years ago
The width of a rectangle is the length minus 2 units. The area of the rectangle is 48 units. What is the width, in units, of the
ivanzaharov [21]

Answer:

6 units

Step-by-step explanation:

Remember the formula for the area of a rectangle: A = lw

What we know:

A=48

w = l-2

Substitute A for 48 and w for l-2 into the equation

A = lw

48 = l(l-2)   Use the distributive property. Multiply over the brackets.

48 = l² - 2l

Rearrange the equation to standard form (0 = ax² + bx + c) to use quadratic formula.

0 = l² - 2l - 48

a = 1 ; b = -2 ; c = -48   State the variables for the quadratic formula

Substitute a, b and c to find the length:

l = \frac{-b± \sqrt{b^{2}-4ac} }{2a}

l = \frac{-(-2)± \sqrt{(-2)^{2}-4(1)(-48)} }{2(1)}  Simplify

l = \frac{2± \sqrt{4-(-192)} }{2}

l = \frac{2± \sqrt{196} }{2}

l = \frac{2± 14 }{2}  

Split the equation at the ± for adding and subtracting. Then decide which answer is correct, or if both of them are possible answers.

l = \frac{2- 14 }{2}

l = \frac{-12 }{2}

l = -8   This is "inadmissable", or impossible because the length can't be a negative value.

l = \frac{2+ 14 }{2}

l = \frac{16 }{2}

l = 8  Length of the rectangle

Use the formula for the area of a rectangle

Substitute the length and area, then isolate "w" for the width

A = lw

48 = (8)w

48/8 = w

w = 6

Therefore the length of the rectangle is 6 units.

7 0
4 years ago
A colony of ants carried away 16 of your muffins. That was 4/5 of all of them! With how many did you start?
Murrr4er [49]
20 because 4/5 is 16 so 4•5=20 like 4•4=16
4 0
4 years ago
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