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Elina [12.6K]
3 years ago
10

Factor each expression by finding the GCF.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0
8(1+3) and that is that answer easy
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Filip is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 8 cookies. How many boxes should Filip get?
Alecsey [184]
Flip should get 4 boxes.

6*5=30
30/8=3.75
round up for 4.
3 0
1 year ago
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
3 years ago
Identify the simplest form of each ratio. 20 : 30 18 : 27 24 : 32 56 : 49 48 : 42 36 : 48 24 : 36 16 : 14 9 : 12
harkovskaia [24]

Answer:

2:3 2:3 3:4 8:7 8:7 3:4 2:3 8:7 3:4

Step-by-step explanation:

6 0
3 years ago
In this figure what is m 5?​
Harlamova29_29 [7]

Answer:

m<5 = 95 degrees

Step-by-step explanation:

Let's first find m<1

=> m<1 = 180-85

=> m<1 = 95 degrees

Since,

m<1 = m<5 (Corresponding angles)

So,

m<5 = 95 degrees

3 0
3 years ago
One minute is 1/60 of an hour. What part of an hour is 12 minutes?
Alla [95]
2/10ths of an hour. You do 12/60 and get 0.2
7 0
3 years ago
Read 2 more answers
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