MATHEMATICS MIDDLE SCHOOL

Describe the steps you can use to find an average of fractional amounts

Answers

Answer 1
Answer:

Answer:

Average of number is equal to sum of numbers by total no.

i.e., Average\,=\,(Sun\,of\,numbers)/(Total\,no)

Now when numbers/amounts are fraction then there is one extra step which is to add the fractions.

Lets say we have to find average of 2 fractions i.e.,(3)/(4)\,,\,(5)/(3)

\implies\,Average\,=\,((3)/(4)+(5)/(3))/(2)

Step 1 : First to add the fractions find the LCM of denominator as There are unlike fractions

3 = 1 × 3

4 = 1 × 4

LCM of 3 and 4 = 3 × 4 = 12

Step 2: To make them like fraction we find equivalent fraction of each fraction whose denominator equal to 12

(3)/(4)*(3)/(3)=(9)/(12)

(5)/(3)*(4)/(4)=(20)/(12)

Step 3: Adding both fractions

(9)/(12)+(20)/(12)=(9+20)/(12)=(29)/(12)

Step 4: put these value in average formula

\implies\,Average\,=\,\frac{(29)/(12){2}

Step 5: Now we divide(29)/(12)by 2 using fraction division .i.e., multiply the reciprocal of divisor with dividend

here 2 is divisor

Reciprocal =(1)/(2)

\imples Average=(29)/(12)*(1)/(2)=(29*1)/(12*2)=(29)/(24)

Following these steps Average of fractional amount of any no can be found.
Answer 2
Answer: 1. first make the denominators of the set the same. 
E.g. (2)/(7)+ (4)/(3) = (6)/(21) + (28)/(21) = (34)/(21)

2. Divide the total by the number of fractions added together: In this case it was 2 so:
(34)/(21) * (1)/(2)  =  (34)/(42)

3. Simplify the total: (17)/(21)

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Answers

ok so just subsitute 5
A
3=2(5)-7
3=10-7
3=3
true

B
3<2(5)-9
3<10-9
3<1
false

C
2<5+6
2<11
true

D
18=6(5)-12
18=30-12
18=18
true

E
3=2+5
3=7
false


true ones are
A,C,D


41. brick has legnth of 2 and 2/5, bla bla bla
how many 1/5 cubes fit along the LEGNTH of brick
aka, how many 1/5's are in 2 and 2/5
2 and 2/5=5/5+5/5+2/5=12/5
how many 1/5 are in 12/5
12
answe is C



40. A,C,D
41. C

Sequence 800,400,200,100,50

Answers

It's divided by 2 each time. 

A farmer is putting up a fence for her animals. She orginally had the fence enclosing a square was 18ft by 18ft. Suppose she uses the same amount of fencing to enclose a circular area. What is the area of the circle?

Answers

First look: More than 324 square feet :)
Now, l=2\pi*r which means that r=(l)/(2\pi). But l is the original perimeter, 4 times the side of the square, that is, 72 ft. So, r=(72)/(2\pi)=(36)/(\pi)
Now, the area of that circle is A=\pi*r^2=\pi*(1296)/(\pi^2)=(1296)/(\pi), which is about 412.5 square feet. It's true, that's more (that's the most you can actually get with that amount of fence :) )

Which statement is true for the equation 4x - 4x - 5= -5No solution
One solution
Two solutions
Infinitely many solutions

Answers

Answer: Infinitely many solutions

Step-by-step explanation:

1. Cancel −5 on both sides.

4x−4x=0

2. Simplify 4x−4x to 0.

0=0

3. Since both sides equal, there are infinitely many solutions.

How do I decompose the number 740

Answers

Divide by the smallest number that can go into it

HELP 12 POINTS !!! Which situation about Connor’s commission best represents the inequality 40 + 10x ≥ 100?A.

Connor earns $10 per day plus a $40 commission on each item he sells. How much will he earn if he sells 100 items?






B.

Connor earns $40 per day plus a $10 commission on each item he sells. How much will he earn if he sells 100 items?






C.

Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn at least $100?






D.

Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn no more than $100?

Answers

The answer is option d it represents the best situation to the equationHope i helped you again
D is right.  40 is the money he earns per day, and 10 commision on each item, which how many items with commision is x and then that it is all less than or equal to 100.
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