MATHEMATICS MIDDLE SCHOOL

5 mile
how many feet

Answers

Answer 1
Answer: A mile is 5280 feet so you do 5 times 5280 to get 26400.

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A carpenter has a board 2 meters long. She needs to cut it into 8 equal pieces. How many centimeters long will each piece be? 4 16 25 1600

Answers

Answer:

its 25

Step-by-step explanation:

2 meters / 8 = 0.25 meters each piece

0.25 meters * 100 centimeters / meter

= 25 centimeters each piece

A Ferrari drove 300 kilometers in one and a half hours. How fast was the car going?

Answers

124.27 miles per hour

(A^5)^6 × a^2 × (a^8)^0

Could you show me the steps so I can understand better?

Answers

Answer:

The answer for (a^5)^6 × a^2 × (a^8)^0 is  a^32 or a^(32)

Step-by-step explanation:

Given:

(a^5)^6 × a^2 × (a^8)^0

Solution:

1.By property of indices or law of indices we have

(x^(a)) ^(b) = x^((a* b))\n \therefore (a^(5)) ^(6) = a^((5* 6))\n \therefore (a^(5)) ^(6) = a^((30))\nSimilarly\na^(2) = a^(2)\n \n(a^(8))^(0)} = a^((8* 0))\n(a^(8))^(0)} = a^(0)\ \textrm{Which is also equal to one i.e 1}\n

Therefore the required equation will be

(a^5)^6 × a^2 × (a^8)^0  

(a^(5)) ^(6)* a^(2)* (a^(8))^(0) =a^((30))* a^(2)* a^(0)

2. law of indices

x^(a) * x^(b) = x^((a+b))\n

Therefore,

(a^(5)) ^(6)* a^(2)* (a^(8))^(0) = a^((30+2+0))

(a^(5)) ^(6)* a^(2)* (a^(8))^(0) = a^((32))

A theater seats 496 people. Of all 8 performances to a play sell out, how many people will see the play?

Answers

If you would like to know how many people will see the play, you can calculate this using the following step:

496 people * 8 performances = 496 * 8 = 3968 people

The correct result would be 3968 people.
3,968. If you multiply 496 by 8, it will equal 3,968

How many times does 2 go into 80

Answers

40

2 x 40 = 80
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IGNORE
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2 goes into 80 40 times

Jamal is making two paintings using canvases that are similar rectangles. The length of the smaller canvas is 3 ft and the width is 5 ft.What is the length of the larger canvas if the width is 10 ft?

Answers

Let's start with what we know:

Smaller canvas:
Length (L_(1)) = 3ft
Width (W_(1)) = 5ft

Larger canvas:
Length (L_(2)) = ?
Width (W_(2)) = 10ft

Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:

( L_(1) )/( L_(2) ) = ( W_(1) )/( W_(2) )
So let's plug it all in from above:

( 3 )/( L_(2) ) = ( 5 )/( 10 )
Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:

(3)(10) = (5)(L_(2))
30 = 5L_(2)
Now divide each side by 5 to isolate L_(2)

(30)/(5) = ( 5L_(2))/(5)
The 5s on the right cancel out, leaving us with:

6 = L_(2)

So the length of the larger canvas is 6 ft

It's not as complicated as you think. The smaller rectangle is 3ft with a width of 5ft. It's asking what the length of the larger canvas is if the width is 10ft. So you pretty much just do 10/5 which is 2 then you multiply 3ft by 2 and you get 6ft.

If you need any help just ask :)

-John
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