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andrey2020 [161]
3 years ago
10

Find the sum or difference (2c-4)+(5c+11)

Mathematics
1 answer:
laiz [17]3 years ago
7 0
Remove parentheses
2c - 4 + 5c + 11
Combine like terms
Answer: 7c + 7
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Which two rooms have an
alexgriva [62]

Answer: room 101 and room 107

Step-by-step explanation:

In room 101, the ratio of boys to girls is 16:12. This is further simplified to its lowest fraction by dividing by 4. It becomes 4:3

In room 104, the ratio of boys to girls is 20:9. This cannot be further simplified to its lowest fraction.

In room 107, the ratio of boys to girls is 12:9. This is further simplified to its lowest fraction by dividing by 3. It becomes 4:3

Therefore, room 101 and room 107 have the same ratio.

4 0
3 years ago
Simplify the expression:<br> 2x+1bx8
denis-greek [22]

Answer:

2x+8b

Step-by-step explanation:

First since 1 and 8b are on the same side mutiply them:

1bx8=8b

So our new equation is 2x+8b

7 0
2 years ago
Full word for ML for the abbreviated unit of measurement
trapecia [35]
ML stands for Milliliter
6 0
3 years 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
Solve for X. <br><br> x+3 <br> 4<br> 8
m_a_m_a [10]

Answer:

First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"

8 0
3 years ago
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