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seraphim [82]
3 years ago
6

Mrs. Jones has eight equal-sized poster boards. She divides them evenly among three students. Between which two whole numbers do

es the number of poster boards each student gets lie?
Mathematics
1 answer:
yarga [219]3 years ago
8 0
Mrs. Jones has eight equal-sized poster boards. She
divides them evenly among three students.
Between which two whole numbers does the
number of poster boards each student gets lie?

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The sum of 3 numbers is 145. Seven times the second number is twice the first number and twice the second number is six times th
igor_vitrenko [27]

Answer:

\frac{7}6}

Step-by-step explanation:

Let the 3 numbers be x,y, and z

As per question,

x+y+z=145

Also, 7 times the second number is twice the first, so

7y=2x\\\frac{x}{y}=\frac{7}{2}----------- 1

Again, twice the second number is 6 times the third number, so

2y=6z\\\frac{2}{6}=\frac{z}{y}\\\frac{z}{y}=\frac{1}{3}---------- 2

Now, multiply equations 1 and 2. This gives,

\frac{x}{y}\times \frac{z}{y}=\frac{7}{2}\times \frac{1}{3}\\\frac{x\times z}{y\times y}=\frac{7\times 1}{2\times 3}\\\frac{xz}{y^2}=\frac{7}{6}

Therefore, the ratio of the product of the first and the third numbers to the square of the second number is \frac{7}6}

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!
NemiM [27]
You can add 16 up until it reaches 120 If it goes over 120 then delete one of the 16 to only get 7 the answer is 7
7 0
3 years ago
Mrs.Margul paid $125 to have her hair colored and cut if she tips her hairdresser 15% what is her total bill
pantera1 [17]

Answer:

143.75

Step-by-step explanation:

The tip is the cost times the tip rate

tip = cost * rate

The cost is 125  and the rate is 15%

tip = 125 * 15%

Change this to decimal form

tip = 125 *.15

    = 18.75

The total bill is the cost plus the tip

total bill = cost + tip

             = 125 + 18.75

             = 143.75


6 0
3 years ago
The temperature is -3 degrees celcius at sunrise. By noon, the temperature changes by 5 degrees. What is the possible temperatur
lina2011 [118]

Answer:

- 3 + 5 \\ 2

The answer is 2 degrees Celsius

6 0
3 years ago
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Find the smallest integer that satisfies the inequalities
sammy [17]

Answer:

a. x> 23 /3

b: x< 13/5

Step-by-step explanation:

A: Step 1: Subtract x from both sides.

4x−15−x>x+8−x

3x−15>8

Step 2: Add 15 to both sides.

3x−15+15>8+15

3x>23

Step 3: Divide both sides by 3.

<u>x> 23/3</u>

B: Step 1: Subtract 7x from both sides.

2x+13−7x>7x−7x

−5x+13>0

Step 2: Subtract 13 from both sides.

−5x+13−13>0−13

−5x>−13

Step 3: Divide both sides by -5.

Answer:  x< 13/5

3 0
3 years ago
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