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Korolek [52]
3 years ago
6

Write each fraction as a percent and fraction equivalent. 1) 0.53 2)1.07

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0
53%
\frac{53}{100}
107%
\frac{107}{100}
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A theater is selling movie tickets. The first night, 19 Senior tickets and 57 Adult tickets were sold. The second night, 20 Seni
Butoxors [25]

Answer:

The theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

Step-by-step explanation:

Rate of senior tickets to adult tickets:

Can also be interpreted as the percentage of senior tickets, out of the number of total tickets, which is the number of senior tickets multiplied by 100% and divided by the number of total tickets.

The first night, 19 Senior tickets and 57 Adult tickets were sold.

19 out of 19 + 57 = 76. So

19*100%/76 = 25%

The second night, 20 Senior tickets and 62 Adult tickets were sold.

20 out of 20 + 62 = 82. So

20*100%/82 = 24.39%

25% > 24.39%, so the theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

4 0
3 years ago
Write the number the name represents: six million and five thousandths.<br><br>*Please Show Work*
4vir4ik [10]
6’000’000.005
Work:
6*1000000 + 5/1000
3 0
3 years ago
What is the simplest form of 0.875 as a fraction
alexandr402 [8]
Answer:

0.875 is equivalent to 7/8

Leave a thanks if this helped
5 0
3 years ago
Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
Find the axis of symmetry of 2x^2 + 12x + 16 Show your work
raketka [301]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

The axis of symetry is x = h.

y=ax^2+bx+c\to h=\dfrac{-b}{2a}

We have

y=2x^2+12x+16\to a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3

<h3>Answer: x = -3</h3>
6 0
3 years ago
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