MATHEMATICS MIDDLE SCHOOL

Sum of (x+5) and (2x+3)

Answers

Answer 1
Answer:

Answer:

3x+8

Step-by-step explanation:

First, we can write the sum into a mathematical expression:

The sum of (x+5) and (2x+3)

(x+5)+(2x+3)

However, we do not need the parenthesis. It is unnecesarry here as we are just adding the two parts:

x+5+2x+3

Using commutative property, we can rearrange the symbols so that the x's are with each other and the numbers are with each other:

x+2x+5+3

Now we can simplify the expression:

3x+8

Hope this helped :)

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Please help! Write an expression for 6 times more than twice a number decreased by7 all split into 4.

Answers

Answer (6•2) - 7 ) \ 4

Admission to the museum is $12 for children and $15 for adults. On a certain day 2450 people go the the museum and $33,456 is collected How many adults and children went to museum

___children
___adults

Answers

c = children
a = adults

12c + 15a = 33456 (price)
c + a = 2450 (people)
c = 2450 - a (rewrite^)

12(2450 - a) + 15a = 33456 (substitute into the price equation)
29400 - 12a + 15a = 33456
3a = 4056
a = 1352

c = 2450 - (1352)
c = 1098

1098 children
1352 adults
x-\ number\ of\ children\ny-\ number\ of\ adults\n\n \left \{ {{x+y=2450} \atop {12x+15y=33456}} \right. \n\n \left \{ {{x=2450-y} \atop {12x+15y=33456}} \right. \n\n substitution\ method\n\n12(2450-y)+15y=33456\n\n29400-12y+15y=33456\n\n29400+3y=33456\ \ \ \ | subtract\ 29400\n\n3y=4056\ \ \ \ | divide\ by\ 3\n\ny=1352\n\nx=2450-1352=1098\n\nThere\ were\ 1098\ children\ and\ 1352\ adults.

one floor of a dollhouse is 1.6 feet tall. the dollhouse contains two levels of living areas and an attic for a total of 2.5 floors. jaime estimates the height of the dollhouse by computing 2×3. how does her estimate compare to the actual height of the dollhouse?

Answers

Answer:

Her estimate is greater than the actual height because both factors were rounded up.

Step-by-step explanation:

did Edginuity

Answer:

A

Step-by-step explanation:

Harold spent 3/4 hour milked 3 groups of cows. If he spent an equal amount of time on each group of cows, what fraction of an hour milking each group?

Answers

1/4 hour because since it took him 3/4 hr to milk 3 groups, it is reasonable to divide 3/4 by 3. So in 1/4 hour.

Must the difference between 2 rational numbers be a rational number?

Answers


Yes.  The difference between 2 rational numbers must be a rational number.

The first rational number can always be written as a fraction of integers.
Let's call it   A/B .

The second rational number can always be written as a fraction of integers.
Let's call that one  C/D .

       Their difference is        A/B  -  C/D .

       'BD' is a common denominator.

       A/B  =  AD/BD

       C/D  =  CB/BD

       A/B - C/D  =  AD/BD  -  CB/BD  =

                                      (AD - CB) / BD

Each term in that ugly thing  /\  is a product of integers,
so it must be must be another integer.

Therefore the whole ugly fraction is another rational number.
a/b - c/d with a,b,c,d as integers and b,d ≠ 0. a/b - c/d -> ad/bd - bc/bd --> (ad - bc)/bd
The difference will always be rational. This is because the denominator will never be 0. Everything is closed under some kind of operation, and the answers will always be able to be written as a ratio.
Hope that helped.

Owen simplified the expression r-8 s-5.


r−8s−5 =  1r8  ⋅ s5 =  s5r8

Answers

r⁻⁸ s⁻⁵

using the rule x⁻ⁿ=1/xⁿ

r⁻⁸ s⁻⁵ = (1/r⁸)(1/s⁵)

Sample Response: Each base must be treated separately. Since each base is raised to a negative exponent, they should both be in the denominator of the fractions. The simplified form of the expression has 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.
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