MATHEMATICS MIDDLE SCHOOL

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write a word problem that can be solved by the equation 108 divided by r=12

Answers

Answer 1
Answer: There are r classes in a school and there are a total of 108 persons in the school. If there are equal number of students in each class and there are 12 classes in the school. Find the number of students in each class.

108 ÷ r

r = 12

108 ÷ 12 = 9

9 students in each class.
Answer 2
Answer: you have to sent a message on the post office.
the message must have 108 characters in total. you have to use 12 words in that message. what is the maximum length (the number of characters in each) of the words you have to use it to use only 12 words, and use 108 characters in total?

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I need help answering this please

Answers

Answer: Choice D) ordered pair is not a solution to the second equation

We can see this by replacing x and y with 1 and -4 respectively

2x + y = 4

2*1 + y = 4 .... replace x with 1

2*1 + (-4) = 4 ... replace y with -4

2 - 4 = 4

-2 = 4 .... this equation is false because -2 and 4 are different values

The last equation being false means that the original equation 2x+y = 4 is also false when (x,y) = (1,-4). Therefore, this ordered pair is not a solution to the second equation 2x+y = 4

A solution to the system must make BOTH equations true simultaneously, not just one.

Answer:

D

Step-by-step explanation:

2x + y = 4

If you substitute x = 1, and y = -4, then

2(1) - 4 = 2 - 4 = -2  not 4

300=400-350(3.2)^(-0.1x)

Answers

Answer:

x=-10\log_(3.2)(2)/(7)

Step-by-step explanation:

Given the equation 300=400-350\cdot (3.2)^(-0.1x)

First, subtract 400 from both sides of the equation:

300-400=400-350\cdot (3.2)^(-0.1x)-400\n \n-100=-350\cdot (3.2)^(-0.1x)

Multiply the eequation by -1:

100=350\cdot (3.2)^(-0.1x)

Divide it by 350:

(100)/(350)=(3.2)^(-0.1x)\n \n(2)/(7)=(3.2)^(-0.1x)

This equation is equivalent to the equation

\log_(3.2)(2)/(7)=\log_(3.2)(3.2)^(-0.1x)\n \n\log_(3.2)(2)/(7)=-0.1x

Multiply it by -10:

-10\log_(3.2)(2)/(7)=x

Hence,

x=-10\log_(3.2)(2)/(7)

How do you put this .689 in word form

Answers

Six hundredth, eighty-nineths? My best guess.
You can also just say "point six hundred eighty-nine".
The latter sounds better. 
six hundred eighty-nine thousandths

Hope this helped!!!

What multiplication expression can be broken apart into (3x4) + (3x4) using the distributive property

Answers

The original expression here might be (4x3) + (4x3). This is because thedistributive property simply moves around numbers, but will not changethe value of the equation, as in the question we are looking at here.

One possible answer is:

3(8)

Explanation:

The distributive property states that we multiply everything inside parentheses with the term outside parentheses. Algebraically, it is a(b+c) = ab+ac.

This means we need to split 8 up into a sum. Using 4+4, we have 3(8) = 3(4+4) = 3(4) + 3(4)

One third of the students at Finley high school play sports. Two fifths of the students who play sports are girls. What fraction of all students are girls who play sports?

Answers

You would have to do 1/3x2/5 which is 2/15. So 2/15 of the girls in the school play sports. 
2/15 girls play sports.

Farmer Brown has cows and ducks. There is a total of 148 "feet." Figure out how many of each Farmer Brown has. Could someone help me with this question.

Answers

Answer:

See explanation

Step-by-step explanation:

Let c be the number of cows and d be the number of ducks.

c cows have 4c feet, d ducks have 2d feet. In total, c cows and d ducks have

4c + 2d = 148 feet.

Divide it by 2:

2c + d = 74.

This gives us that the number of ducks is even and cannot be 0 (because farmer Brwn has ducks). The minimum possible number of ducks is 2, so the maximum possible number of cows is 36.

All possible answers:

Ducks     Cows

  2             36

  4             35

  6             34

  8             33

  10            32

  12            31

  14            30

  16            29

  18            28

  20           27

  22           26

  24           25

  26           24

  28           23

  30           22

  32           21

  34           20

  36           19

  38           18

  40           17

  42           16

  44           15

  46           14

  48           13

  50           12

  52           11

  54           10

  56           9

  58           8

  60           7

  62           6

  64           5

  66           4

  68           3

  70           2

  72           1
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