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4 years ago

Determine whether the piece of paper can be used to wrap the rectangular prism exactly once without any gaps or overlaps.

Mathematics

1 answer:

liq [111]4 years ago

6 0

Answer:

No, because they do not have the same area.

Step-by-step explanation:

For the piece of paper to cover once without overlap or gaps, it must have the same area as the the total surface area of the prism.

The total surface area of the rectangular prism is: $2(3.5\times2+3.5\times1.5+2\times1.5)=30\frac{1}{2}in^2$

The area of the rectangular sheet is: $5\times 8=40in^2$

Since the area of the piece of paper is more than the surface area of the rectangular prism there will be an overlap.

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2. A machine burns m gallons of oil each hour on weekends and ngallons each hour on weekdays. How many gallons of oil are burned

Lynna [10]

The question says the machine uses up m gallons of oil each hour on weekends.

This means that if the machine works for 24 hours each day, it implies that:

$\text{Total amount of oil used up in a day = 24}\times m=24m$

There are only two days on weekends i.e. Saturday and Sunday.

This means that if the amount of oil used in 1 day in the weekend is 24m, then we can say:

Saturday: oil used is 24m

Sunday: oil used is 24m

Total oil used during the weekend is:

$24m+24m=48m$

4 0

1 year ago

Can someone plzzz help me with this math practice paper plzzz I need help with all of the questions plzzzz I’ll give brainliest

Olin [163]

What question is it because I can’t see it

5 0

3 years ago

Find the mode of the set of data. 6, 6, 6, 8, 10, 10, *

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

The mode is the number that appears most in the data set.

So your answer would be 6 because it appears 3 times.

7 0

3 years ago

Read 2 more answers

I NEED SOMEONE TO HELP ME WITH MATH RIGHT NOW

Liula [17]

Answer:

where is it

Step-by-step explanation:

3 0

3 years ago

The sum of a rational number and an even integer is rational. A) Always True B) Sometimes True C) Usually True D) Never True

SOVA2 [1]

I think that the sum will always be a rational number
let's prove that

any rational number can be represented as a/b where a and b are integers and b≠0

and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....

so, 2 rational numbers can be represented as

a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)

their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd

1. the numerator and denominator will be integers
2. that the denominator does not equal 0

alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer

now the denominator
that is just a product of 2 integers so it is an integer

2. we originally defined that b≠0 and d≠0 so we're good

therefore, the sum of any 2 rational numbers will always be a rational number is the correct answer.

6 0

3 years ago