Simplest form for 1.4/7

Answers

Answer 1

Answer: In order for a fraction to be in simplest form, it must not be able to be simplified any more. In this case, this fraction isn't in simplest form because it still contains a decimal.

To get rid of this decimal, we should multiply this fraction by 5. However, because we want the ratio between the numerator and the denominator to stay the same, we must multiply both the numerator AND the denominator by 5.

1.4 / 7 * 5 / 5 = 7 / 35

However, 7/35 isn't in simplest form either, because they share a common factor of 7. So, to simplify more, we should divide both the numerator and the denominator by 7.

7/35 ÷ 7/7 = 1/5

Therefore, 1.4/7 in simplest form is 1/5.

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If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fat, the recommended maximal weight loss is one pound per week. Since there are 3500 kcalories in a pound of body fat, a deficit of 3500 kcalories for the week or 500 kcalories per day would be required. Calculate the maximum number of kcalories Rick can consume per day to achieve a weight loss of one pound per week. Assume that his weight is 205 pounds and that his physical activity factor is "low active."

Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.Option 1: $53 for each ticket plus a shipping fee of $10

Option 2: $55 for each ticket and free shipping

What is a system of equations to represent the costs of the tickets?

Express your equations in the form of y=mx+by=mx+b where x is the number of tickets purchased and y is the total cost.

Enter your equations in the boxes.

Answers

Option 1- y= 53x+10
Option 2- y= 55x
55x+10=53x
-53x -53x
2x=10
x=5

Answer:

equation 1 is y=53x + 10

equation 2 is y=55x

Step-by-step explanation:

A movie theater charges 5 for an adult ticket and 2 for a child's ticket. One Saturday the theater sold 785 tickets for 3,280. How many adult and children tickets were sold for the movie saturday?

Answers

Answer: 570 adult tickets and 215 children tickets were sold

Step-by-step explanation:

Let x represent the number of adult tickets that were sold for the movie Saturday.

Let y represent the number of children tickets that were sold for the movie Saturday.

One Saturday the theater sold 785 tickets. This means that

x + y = 785

The movie theater charges 5 for an adult ticket and 2 for a child's ticket. The total sales on Saturday was 3280. This means that

5x + 2y = 3280 - - - - - - - - - - --- 1

Substituting x = 785 - y into equation 1, it becomes

5(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

- 5y + 2y = 3280 - 3925

- 3y = - 645

y = - 645/- 3

y = 215

x = 785 - y = 785 - 215

x = 570

If the population of an ant hill doubles every 20 days and there are currently 30 ants living in the hill, what will the population be after 60 days?

Answers

The number of ants after 60 days is 240.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The population of ants doubles every 20 days.

Current number of ants = 30

Now,

The number of ants after 20 days.

= 30 x 2

= 60

The number of ants after 40 days.

= 60 x 2

= 120

The number of ants after 60 days.

= 120 x 2

= 240

Thus,

The number of ants is 240.

Learn more about expressions here:

brainly.com/question/3118662

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after 20 days , ants will be double so 60 ants
again after 20 days, there will be 120 ants

and at last

after total of 60 days, ants will be 240 in number ! .....answer !

Express 56 million in scientific notation

Answers

5.6000000 × 107 is in scientific notation

H(x)=(3x-5)^3Find f and g so that h(x) = ( f o g)(x). Neither function may be the identity function f (x) = x

Answers

Answer:

sup

Step-by-step explanation:

What number is midway between 2/3 and 1?

Answers

5/6 is about midway through 2/3 and 1. It helps if you lay everything out in a number line like below:

0______________1/4______________ 2/4______________3/4___________1

0____________________1/3___________________2/3________________ 1

0________1/6________ 2/6________3/4_________4/6________5/6_______1

Additionally, 2/3 = .66 so the distance from 2/3 to 1 is approximately .34. If you divide that by 2 to see what the middle is you get .17, which you then add to .66.

.66 + .17 = .83

.83 = 5/6

Answer:

5/6

Step-by-step explanation:

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