We have been given the area of a gymnasium is $27x+18$ square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.

Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.

$(9\times 3x+9\times 2)$

Upon factoring out 9 from our given expression we will get,

$9(3x+2)$

Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.

8 0

3 years ago

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An auto shop had 5 tires. Two of the tires dry rotted, so the tires cannot be used. The auto shop expects 7 vehicles to come in

Afina-wow [57]

Answer:

Explanation

5-2 equals 3

+1 that's one car

6x4 equals 24 + 1

7 0

3 years ago

⬆️ ⬆️ Question Please Help ☹

zysi [14]

Answer:

See the Venn diagram attached

Numbers given:

Total: 100
Either a cat of a fish: 70
Cat: 46
Cat and fish: 16

Neither a cat or a fish: 100 - 70 = 30

Fish: 70 - (46 + 16) = 70 - 62 = 8

Required probabilities are:

a) P(neither) = 30/100 = 0.3
b) P(f) = (16 + 8)/100 = 0.24
c) P(f not c) = 8/100 = 0.08

6 0

3 years ago