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2 years ago

9a-18b+21c apply distributive property to factor out gcf of all three terms

Mathematics

2 answers:

Anni [7]2 years ago

5 0

Answer:3(3a - 6b + 7c)

hope it helped :)

horsena [70]2 years ago

3 0

The GCF of the three terms (9a, -18b and 21c) is 3

Rewrite each of the terms so 3 is a factor
9a = 3*3a
-18b = -3*6b
21c = 3*7c

So we can say...
9a - 18b + 21c = 3*3a - 3*6b + 3*7c
9a - 18b + 21c = 3(3a - 6b + 7c)

Answer: 3(3a - 6b + 7c)

If you distribute outer 3 to each of the inner terms and multiply, you'll get the original expression again.

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A 5.ft tall man casts a shadow along the ground that is 8 ft. long. At the same time a giraffe casts a shadow that is 12 ft. lon

forsale [732]

Answer : 7.5 ft

Step-by-step explanation:

when the length of the shadow is 8ft, the actual height of the man = 5ft

8:5

let the giraffe be 'x' ft tall.

if the length of the shadow is 12ft, actual height = x ft

12:x

8:5 x 12:x

$\frac{8}{5}$ × $\frac{12}{x}$

x= $\frac{15}{2}$

x=7.5 ft

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1 year ago

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Clint and Max worked out at the gym together today. Clint works out at the gym every 4 days. Max works out at the gym every 6 da

VikaD [51]

Answer:

24 days

Step-by-step explanation:

To determine the number of days until they both work out at the gym on the same day again,

Find the lowest common multiples of 4 days and 6 days

Clint (4 days) = 8, 12, 16, 20, 24, 28, 32

Max (6 days) = 12, 18, 24, 30, 36, 42

The lowest common multiple of ,4 days and 6 days is 24 days

Therefore, the number of days until they both work out at the gym on the same day again is 24 days

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2 years ago

Brainlist for correct answer and 25 points for answering! Find the equation of the linear function represented by the table belo

sergeinik [125]

Answer:

y=-5x+1

Step-by-step explanation:

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2 years ago

Oven tray 700mmx600mm, how many cake tins 25cm can fit on the oven tray.

murzikaleks [220]

All we need to do is to find out how many 25 cm cake tins will fit along the 70 cm edge (70 cm because 700 mm = 70 cm).

70 : 25 = 2,8

It means that 2 and 0,8 tins will fit, which is generally 2 tins because the third one wouldn't fit.

Now we have to do the same with the 60 cm edge:

60 : 25 = 2,4

So again we'll have 2 tins along the other edge, but with less spare space.

Now we just have to multiply both edges to get the amount of the tins that will fit on the tray:

2 * 2 = 4

Answer: 4 cake tins will fit on oven tray measuring 700mm x 600mm.

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2 years ago

The base of a triangle is 12.25 in. determine the area of the triangle if the height is 3.6 in

leva [86]

Answer:

22.05in^2

Step-by-step explanation:

Formula for area of a triangle:

(base × height) / 2

(bh)/2

(12.25 × 3.6)/2

44.1/2

22.05

When finding the area, the units will always be to the second power because we are multiplying them

in × in = in^2

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2 years ago