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FinnZ [79.3K]
3 years ago
5

Which expression is equivalent to 1 4 ( 3 x + 4 y ) + 3 ( 1 4 x + 2 3 y ) ? 3 2 x + 3 y 3 halves x plus 3 y 3 2 x + 2 y 3 halves

x plus 2 y 3 4 x 2 + 3 y 3 fourths x squared plus 3 y 3 4 x 2 + 2 y
Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

3x/2 + 3y

Step-by-step explanation:

Given the expression 1/4 ( 3x + 4y ) + 3 ( 1/4 x + 2/3 y)

Open the parentheses

= 1/4(3x) + 1/4(4y) + 3(1/4x) +3(2/3y)

= 3/4 x + y + 3/4 x +2y

Collect like terms

3/4 x +3/4 x +y+2y

6/4 x + 3y

3x/2 + 3y

Hence the correct expression is 3x/2 + 3y

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Evaluate:-19 - (-10) + (20) - (30) - (-15)<br> A) -4 <br> B) -3 <br> C) 3 <br> D) 4
Tresset [83]

So firstly, remember that <u>subtracting a negative number is the same as adding a positive number</u> so our expression will look like this:

-19+10+20-30+15

Now solve as such:

\underbrace{-19+10}_{-9}+20-30+15\\\\\underbrace{-9+20}_{11}-30+15\\\\\underbrace{11-30}_{-19}+15\\\\\underbrace{-19+15}_{-4}\\\\-4

<u>Your answer is -4, or A.</u>

4 0
3 years ago
Read 2 more answers
Please helpppppp In exercises 3-6, events A and B are disjoint. Find P(A or B).
bekas [8.4K]

Problem 3

Disjoint events are two (or more) events that cannot happen at the same time. An example would be flipping heads and tails at the same time with the same coin. Another example is selecting an ace of spades and selecting an ace of diamonds, when you only select one card.

In general notation, P(A and B) = 0 if and only if A and B are disjoint.

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.3 + 0.1 - 0

<h3>P(A or B) = 0.4</h3>

=========================================

Problem 5

Same idea, but different numbers

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 1/3 + 1/4 - 0

P(A or B) = 4/12 + 3/12 - 0

<h3>P(A or B) = 7/12</h3>
3 0
3 years ago
64x squared-144x+x squared
gogolik [260]

Factor the polynomial.
x
(
65
x
−
144
)
x
(
65
x
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7 0
4 years ago
Evaluate la| - |b|, given a =5, b = -3, and c = -2. <br><br>O 2 <br>O 8 <br>O 2 <br>O 3​
n200080 [17]

Answer is 2

Hope it helps

3 0
2 years ago
A builder mixes one part of cement with four parts of sand to make mortar if he uses 100 pounds of sand how much is cement?
fenix001 [56]

Answer:

25

Step-by-step explanation:

one part of 4 parts = 1/4

100 divided by 4 = 25

8 0
4 years ago
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