All categories

2 years ago

Simplify 7 1/5 times 49 7/5 equivalent to 49

Mathematics

1 answer:

bogdanovich [222]2 years ago

5 0

Step-by-step explanation:

7 1/5 × 49 7/5 = 49

convert mixed numbers into improper fractions (whole number × denominator + numerator)

7 × 5 + 1 = 36

49 × 5 + 7 = 252

36/5 × 252/5 = 49

All fractions must have a common denominator

49 × 5 = 245

36/5 × 252/5 = 245/5

Add numerators

36 + 252 = 288

288/5 = 245/5

57 3/5 = 49

These do not equal each other according to my calculations. Is the problem written correctly? Or did I misinterpret a given number?

You might be interested in

The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What

My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

$M(x)=13x-x^2$ .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

$M'(x)=13-2x$ .... (2)

Equate first derivative equal to 0.

$13-2x=0$

$2x=13$

$x=\frac{13}{2}=6.5$

Differential function (2) with respect to x.

$M''(x)=-2$

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

4 0

3 years ago

What is eight g plus ten equals thirty five plus three g

gtnhenbr [62]

8g+10=35+3g You need to find what number g is, just plug in random numbers till both sides are equal

8 0

3 years ago

Help plz!

julia-pushkina [17]

She uses four pounds because 4/5 of five pounds is four.

4 0

3 years ago

A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct

denis23 [38]

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

$0.37x = 114$

$x = \frac{114}{0.37}$

$x = 308.11$

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

6 0

3 years ago

You spin the spinner and flip a coin. Find the probability of the compound event.

Mademuasel [1]

Answer:

The probability of spinning an even number and flipping heads is 1/4

Step-by-step explanation:

You spin the spinner and flip a coin.

A spinner that has 1 of each number, 1-6

Total events =12

(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)

We are supposed to find probability of spinning an even number and flipping heads

Favorable events : (2,H),(4,H)(6,H) = 3

Total events = 12

The probability of spinning an even number and flipping heads = $\frac{3}{12}=\frac{1}{4}$

Hence The probability of spinning an even number and flipping heads is 1/4

7 0

3 years ago