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3 years ago

What is 3 1/2 as an improper fraction?

Mathematics

2 answers:

Lemur [1.5K]3 years ago

7 0

Answer:

7/2

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

2 × 3 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 1 = 7

Step 3

Write answer from Step 2 over the denominator

7/2

slavikrds [6]3 years ago

3 0

Answer:

yes

...... .. .... I m correct

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The average height of 4 children is (15h-3). Two more children join the group with heights of (10h+46) centimeters and (14h-16)

oksian1 [2.3K]

Answer: 123.5 centimeters

Step-by-step explanation:

Let sum of observations be S and number of observations be n.

Average A= $\frac{\text{S}}{\text{n}}$

The average height of 4 children is (15h-3)

$(15h-3)=\frac{S}{4}\\\Rightarrow\ S=4(15h-3)\\\Rightarrow\ S=60h-45$

Also, when two more children join the group with heights of (10h+46) centimeters and (14h-16) centimeters the sum of heights of 6 children will be

$S+(10h+46)+(14h-16)=60h-45+10h+46+14h-16=84h-107$

Now, Average height of 6 students= $\frac{84h-15}{6}$

At h=9

Average height of 6 students= $\frac{84(9)-15}{6}=\frac{741}{6}=123.5\ centimeters$

3 0

3 years ago

Snape has 2000 mL of a magic potion solution that is 30% DeMuggle Juice. He also has hundreds of 25 mL bottles that are full of

ELEN [110]

Answer:

Step-by-step explanation:

We use the equation for the percentage of solute concentration in a solution:

$volume percent = \frac{volume of solute}{volume of solution} * 100$ (1)

In this case the equiation (1) is transformed into:

$34 = \frac{Total volume of DeMuggle juice}{Total volume of the magic potion} * 100$ (2)

n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.

Vpo = Initial volume of the magic potion = 2000ml

Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml

Vb= Volume of a bottle = 25ml

Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml

Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n

Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n

Replacing in (2):

$34 = \frac{600 + 18.75*n }{2000 + 25*n} *100$

$\frac{34}{100} (2000 + 25*n) = (600 + 18.75* n)$

$680+8.5*n=600+18.75*n$

$80 = 10.25*n$

$n = 7.8$

Since the number of times the wand should be waved must be an integer, it approximates 8

Replacing n=8 in (1)

$\frac{600+(18.75*8)}{2000+(25*8)} *100 = 34.0909$

6 0

4 years ago

Jerome wants to rent a rowboat to go fishing at the lake. The cost of the rental can be represented by the equation y=18x, where

lianna [129]

The cost per hour for renting the boat is $18 per hour.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost for renting the boat for x hours.

Given the equation:

y = 18x

Therefore the cost per hour for renting the boat is $18 per hour.

Find out more at: brainly.com/question/21835898

7 0

2 years ago

Given that (1,9) is on the graph of f(x), find the corresponding point for the function 2/3 f(x)

GrogVix [38]

Answer:

(1,6)

Step-by-step explanation:

If "(1, 9) is on the graph of f(x),"

then (1, [2/3][9]) is on the graph of the function y = (2/3)f(x). This works out to (1, 6).

7 0

3 years ago

List the common factors of the numbers 9 and 18

Solnce55 [7]

the answer is 1,3,9

4 0

3 years ago