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Dimas [21]
2 years ago
7

Write equivalent fractions for 3^3 bottom 4 and 1^2 bottom 3

Mathematics
2 answers:
Nonamiya [84]2 years ago
7 0

Answer:

\frac{3^3}{4}=\frac{3*3*3}{4}=\frac{27}{4}

\frac{1^2}{3}=\frac{1*1}{3}=\frac{1}{3}

Step-by-step explanation:

\frac{3^3}{4} and \frac{1^2}{3}

\frac{3^3}{4}=\frac{3*3*3}{4}=\frac{27}{4}

\frac{1^2}{3}=\frac{1*1}{3}=\frac{1}{3}

Hope this helps!

Rufina [12.5K]2 years ago
5 0

\tt \dfrac{3^3}{4}=\dfrac{27}{4}\\\\\dfrac{1^2}{3}=\dfrac{1}{3}

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There are 14 rows of seats in a cinema.
xeze [42]

Answer:

24 tickets were not sold

Step-by-step explanation:

Here, we want to get the number of unsold tickets

In each row, there are 15 seats

In the Cinema, there are 14 rows

The total number of seats is thus;

15 * 14 = 220 seats

If all the 220 seats were booked, the total amount of ticket sales would have been;

220 * 6.5 = £1430

But in this case, the amount generated is £1,274

Hence, the difference in these amounts will be;

1430 - 1274 = £156

To get the number of tickets unsold, we have to divide the amount here by the price per unit ticket

Mathematically, we have this as;

£156/£6.5 = 24

3 0
3 years ago
Mathematicians, please check my work
kodGreya [7K]
The answer that you said is right. I totally agree with you.
3 0
4 years ago
Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)
IrinaK [193]

Answer:

Equation of the circle   (x-3)²+(y-5)²=(6.4)²

                             x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

                   Centre = (\frac{-2+8}{2} ,\frac{1+9}{2} )

               Centre (h, k) = (3 , 5)

<u><em>Step(ii):-</em></u>

The distance of two end points

PQ = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2}  }

PQ= \sqrt{(8+2 )^{2} +(8 )^{2}  }

PQ = √164 = 12.8

Diameter    d = 2r

                 radius r = d/2

                Radius r = 6.4

<u><em>Final answer:-</em></u>

Equation of the circle  

                    (x-h)²+(y-k)² = r²

                   (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x  +y² -10y  = 40.96-34

x² -6x  +y² -10y -7= 0

4 0
4 years ago
X+2(x+3(x+4(x+5)))=153
Allushta [10]

Answer:

x=1

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1

3 0
3 years ago
Question in screenshot
sesenic [268]

Answer:

10

Step-by-step explanation:

use pythagorean theorm

√(8^2+6^2) = 10

6 0
3 years ago
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