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AnnZ [28]
3 years ago
9

At a concert 30% of the audience were tennnagers. If there was a total of 1600 audience members, how many of the audience were n

ot teenagers
Mathematics
1 answer:
Misha Larkins [42]3 years ago
5 0

Answer:

Not teenagers = 1120

Step-by-step explanation:

Total number of audience members = 1600

30% of the audience were teenagers.

It means 70% of the audience were not teenagers. It can be given by :

x = 70% of 1600

x=\dfrac{70}{100}\times 1600\\\\x=1120

Hence, 1120 audiences were not teenagers.

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2,3,9

Step-by-step explanation:

factors are the smallest numbers that can divide 18completely

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5.5% tax on $20 is $
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Answer: $18.90

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Isabella's rain gauge showed 3 centimeters/cra) last Tuesday. This Tuesday,
Llana [10]
<h3><u>Question:</u></h3>

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday,  the rain gauge showed 5 7/10  centimeters. How many more centimeters of rain  fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm​

<h3><u>Answer:</u></h3>

Option D

1\frac{9}{10}  more centimeters of rain  fell during this week than last week

<h3><u>Solution:</u></h3>

From given,

Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm

Also given that,

This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm

<em><u>How many more centimeters of rain  fell during the week?</u></em>

This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}

Thus 1\frac{9}{10}  more centimeters of rain  fell during this week than last week

8 0
3 years ago
Which statements are true for the given quadrilaterals? Choose all answers that are correct. A. All squares are parallelograms.
Jlenok [28]
B all rectangles are squares
5 0
3 years ago
PLEASE HELP ME I WILL MARK BRAINLIEST!!!
alexandr402 [8]

1. One way to approach this is to convert the magnitude and direction of each force to rectangular coordinates.

... first force = 90(cos(30°), sin(30°)) = (77.94, 45.00)

... second force = 50(cos(160°), sin(160°)) = (-46.98, 17.10)

Then their sum is

... resultant force = first force + second force = (30.96, 62.10)

The magnitude is found using the Pythagorean theorem:

... resultant magnitude = √(30.96^2 + 62.10^2)

... ... = √(958.52+3856.41) = √4814.93

... ... = 69.39

The resultant direction can be found using the definition of the tangent function.

... tan(α) = 62.10/30.96 = 2.01

... α = arctan(2.01) = 63.55°

The (magnitude, direction) of the resultant force are (69.39, 63.55°).

_____

(Note that rounding introduced an error of 0.05° in the direction.)

2. Using DeMoivre's theorem, the magnitude of the 4th root is the 4th root of the magnitude, and the angle of the 4th root is 1/4 of the angle (and its aliases).

... fourth root = 256^(1/4)∠((240°+k*360°)/4) = 4∠(60°+k*90°) . . . . k=0, 1, 2, 3

7 0
3 years ago
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