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3 years ago

What is the answer to 3 2/5÷4 1/3

1 answer:

3 0

3 and 2/5 ÷ 4 and 1/3
The first step before you can divide these is that you must make them improper fractions, they cannot be mixed numbers.

3 = 3/1 = 15/5
15/5 + 2/5 = 17/5
3 and 2/5 = 17/5

4 = 4/1 = 12/3
12/3 + 1/3 = 13/3
4 and 1/3 = 13/3

Now you can divide 17/5 and 13/3.

Step 1- Turn the fraction you are dividing by into its reciprocal.
13/3 reciprocal equals 3/13

Step 2- Multiply.
17/5 • 3/13
17 • 3 = 51
5 • 13 = 65
Answer: 51/65

Step 3- Simplify if possible.
51/65
This is already in simplest form so there is no need to simplify.

So the answer is 51/65.

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Louis wants to carpet the rectangular floor of his basement. The basement has a area of 768 square feet. The width of the baseme

pentagon [3]

Area=width*length. Let width=x ft, then length=3x ft, given the information in the problem. The area of basement=x*3x=768, 3x^2=768, x^2=256, x=16. The width is 16 feet. Therefore, length=3x=3*16=48 feet.

5 0

3 years ago

For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h

damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

$t_{1} =\frac{30}{v}$ ( $time=\frac{distance}{speed}$ )

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

$t_{2} =\frac{17}{v+2}$

now total time t spent by the bicyclist to cover entire trip is given by

$t=t_{1} +t_{2}$

$t=\frac{30}{v} +\frac{17}{v+2}$

now if v=18 , we have

$t=\frac{30}{18} +\frac{17}{20}$

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

$t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}$ $t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}$

$t=\frac{453}{180} =2.52$ hours (approx)

7 0

3 years ago

HELP I NEED TO PASS!!!!!

Brilliant_brown [7]

It’s b and d ? Both of those equations are the same if u haven’t noticed

6 0

2 years ago

A grocery store has 120 bottles of spring

notka56 [123]

Question:

A grocery store has 120 bottles of spring water in stock. The store orders bottles of spring water in cases of 24. The store wants to order enough cases of spring water so it has more than 500 bottles in stock. Which inequality best models this situation?

A. 24x + 120 > 500

B. 24x - 120 > 500

C. 24x + 500 > 120

D. 24(x+120) > 500

Answer:

Option A. 24x + 120 > 500 is the inequality that best models this situation.

Step-by-step explanation:

The Number of bottles of spring water in the stock = 120

Each case of the spring water bottles contains 24 bottles

The store wants to order enough cases of spring water so that it has over 500 bottles in stock.

So there are already 120 bottles in stock .

The store will order

24x +120 > 500

where x is the number of spring water bottle cases

5 0

3 years ago

What is the slope of y = 1 + 5?

IgorLugansk [536]

Step-by-step explanation:

if there is no typo, then that is

y = 1 + 5 = 6

y = 6

has no term in x.

that means 6 is the constant result of the line function, no matter what x value we pick.

and that means this is a horizontal line (parallel to the x-axis) going through the point y=6 or (0, 6).

remember that the slope is the ratio "y coordinate change / x coordinate change".

but y is not changing at all, the change or difference is always 0 no matter what points we pick on the line.

and so, the slope ratio is always "0/...". and that is 0.

so, the slope of that line is 0.

but if there is a typo, then please know : the slope of a line

y =ax + b

is always a (the factor of x).

6 0

2 years ago