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allochka39001 [22]
3 years ago
15

Which expression is exactly equivalent to 5a + 3b + 4 + 7a + 9 ?

Mathematics
2 answers:
Cloud [144]3 years ago
7 0

Answer:

Step-by-step explanation:

5a+3b+4+7a+9=

=12a+3b+13

allsm [11]3 years ago
6 0
Expression 2
12a+3b+13
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Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
nlexa [21]

Answer:

190 ft^2

Step-by-step explanation:

So first we need to find which equation we're using and since it's a rectangular prism we're going to use:

2Lw + 2wh + 2Lh

Now what we need to do is plug in the values

2*9*2 + 2*2*7 + 2*9*7

Now just multiply everything and then add it together.

36 + 28 + 126

Once you add everything together you get:

190

The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)

If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:

190 ft^2

4 0
3 years ago
Which set of points represents equivalent ratios and would follow the same pattern on a graph?
Paladinen [302]
(2,4), (4,8), (3,6), (5,10) because they’re all ratios of 1:2
8 0
3 years ago
Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal
lisabon 2012 [21]

Given the following functions below,

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}

Factorising the denominators of both functions,

Factorising the denominator of f(x),

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}

Factorising the denominator of g(x),

\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}

Multiplying both functions,

undefined

4 0
1 year ago
A survey revealed that 31% of people are entertained by reading books, 39% are entertained by watching TV, and 30% are entertain
tester [92]
1% entertained by books
9% entertained by TV
3 0
3 years ago
Wes measures the floor area of his rectangular living room to replace the carpet with tiles.The room is 12.4 feet long and 9.8 f
Zina [86]

Answer: 121.52 square feets

Step-by-step explanation:

The room has the shape of a rectangle and its dimensions are 12.4 feet long and 9.8 feet wide. This means that dimension of the carpet is also 12.4 feet long and 9.8 feet wide. To replace the rectangular carpet with tiles, the area of the tiles must be equal to the area of the carpet. The area of the carpet is determined by length × width.

Length of the room or carpet = 12.4 feets

Width of the room or carpet = 9.8 feets

The number of square feets of tiles that Wes will need

=12.4 ×9.8 = 121.52 square feets

7 0
3 years ago
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