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Taya2010 [7]
3 years ago
13

Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.” Which variable expressions could

Elaina have written? Select each correct answer.
A.) 4 ÷ n
B.) 4/n
C.) 1/4n
D.) n4
Mathematics
2 answers:
Naily [24]3 years ago
7 0
1/4n, and also D IF it's n/4.
Vesna [10]3 years ago
3 0

Answer:

\frac{1}{4}n

\frac{n}{4}

C and D are correct options.

Step-by-step explanation:

The given phrase is “one-fourth of a number.”

Let the number be n.

one fourth means 1/4

Hence, the phrase “one-fourth of a number.” can be written as

\frac{1}{4}n

We can rewrite this expression by multiplying numerator as

\frac{n}{4}

Therefore, the required expressions are

\frac{1}{4}n

\frac{n}{4}

C and D are correct options.

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Malik’s solution to the equation 2/5x-4y=10 , when x=60, is shown below.
zhenek [66]

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D. Malik substituted 60 for y instead of x.

Step-by-step explanation:

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In rectangle $ABCD$, $AD=1$, $P$ is on $\overline{AB}$, and $\overline{DB}$ and $\overline{DP}$ trisect $\angle ADC$. Write the
Studentka2010 [4]
<h3>Answer:</h3>

w+x+y+z = 12

<h3>Explanation:</h3>

When right angle ADC is divided into three equal parts (trisected), each of those parts is 90°/3 = 30°. Thus, ∠CDB = ∠PBD = ∠PDB = 30°.

The sides of a 30°-60°-90° triangle are in the proportion 1 : √3 : 2. Hence BD = 2, and PD = PB = 2/√3 = (2/3)√3.

Then the perimeter of ∆BDP is ...

... perimeter ∆BDP = BD + DP + PB

... = 2 + (2/3)√3 + (2/3)√3

... = 2 + (4√3)/3 . . . . . . . . w=2, x=4, y=3, z=3

w + x + y + z = 2+4+3+3 = 12

8 0
3 years ago
F f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?
seraphim [82]

hi

f°g  mean apply  g(x) and  then use result of  g(x) as  "x" in f(x)

so as  g(x) = x² +1   and  f(x) = 3x+2

so if we call  g(x)   X  we have  

f( X) =  3 X +2

now we replace  " X"  for it's value

f(X) =  3 ( x² +1) +2

f(X) =  3x² +3 +2

f(X) = 3x² +5

so  f°g = 3x² +5

8 0
1 year ago
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