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3 years ago

Write the recurring decimal 0.4 as a fraction in its simplest form.

Mathematics

2 answers:

Ugo [173]3 years ago

8 0

Answer:

2/5

Step-by-step explanation:

0.4 = 4/10 which in simplest form is 2/5

seropon [69]3 years ago

3 0

Answer:

2/5

Step-by-step explanation:

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The triangles indicated are similar. Solve for x.

sergejj [24]

Hope this helps.................

5 0

3 years ago

a 12 pound cat is prescribed amoxicillin at 5 mg kg twice a day for 7 Days the oral medication has a concentration of 50 mg ml a

velikii [3]

The first step in determining the answer will need to be to convert the weight from imperial to metric. 12lbs ~ 5.44311kg Then we need to look at the total amount of amoxicillin needed. At 5mg/kg is ~27.5mg twice per day. The concentration is 50mg per ml. Knowing that the cat needs around 55mg, that leads us to 1.1ml daily.

3 0

3 years ago

The school store opened on the first day of school with 45 notebooks and 15 pencils. Within two days it sold all of these items.

malfutka [58]

The number of pencils sold on the first day is 5 pencils.

The number of notebooks sold on the first day is 10 notebooks.

The number of pencils sold on the second day 10 pencils.

The number of notebooks sold on the second day 35 notebooks.

Step-by-step explanation:

Given data,

The total number of notebooks in the store = 45 notebooks.
The total number of Pencils in the store = 15 pencils.
The number of days that all items were sold = 2 days.

Now, you have to calculate the no.of notebooks and no. of pencils sold each day.

In the first day :

The number of sale of notebooks and pencils are given by,

Twice as many notebooks were sold as pencils.

Let us take, the number of pencils sold on the first day = x

And, the number of notebooks sold on the first day = 2x (Twice as pencils).

In the second day :

The number of sale of notebooks and pencils are given by,

For every 7 notebooks sold, 2 pencils were sold.

The number of pencils sold on the second day = 2y

The number of notebooks sold on the second day = 7y

The equation is framed for number of notebooks sold on each day :

The number of notebooks sold ⇒ 2x + 7y = 45 -------(1)

The equation is framed for number of pencils sold on each day :

The number of pencils sold: x + 2y = 15 ----------(2)

Solving the equations by multiplying eq(2) by 2 and subtract it from eq(1),

2x + 7y = 45

- (2x + 4y) = 30

3y = 15

⇒ y = 15/3

⇒ y = 5

The value of y is 5.

Substitute y=5 in eq (2),

⇒ x + 2(5) = 15

⇒ x + 10 = 15

⇒ x = 15 - 10

⇒ x = 5

The value of x is 5.

First day sale,

The number of pencils sold on the first day = x ⇒ 5 pencils

The number of notebooks sold on the first day = 2x ⇒ 10 notebooks

Second day sale,

The number of pencils sold on the second day = 2y ⇒ 10 pencils

The number of notebooks sold on the second day = 7y ⇒ 35 notebooks.

8 0

2 years ago

Which of the following is the equation of the line that is parallel to y=35x+8 y = 3 5 x + 8 and goes through point (-10,4)?

xeze [42]

Slope-intercept form of a line is y=mx+b.

Where m= slope and b= y-intercept.

First step is to compare the given equation y=35x+8 with the above equation to get the value of m.

After comparing the two equations we will get m=35.

Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.

Now the line is passing through (-10,4).

Point slope form of a line is :

$y-y_{1} =m(x-x_{1} )$

Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,

y-4=35(x-(-10)

y-4=35(x+10)

y-4=35x+350

y=35x+350+4

y=35x+354.

So, the equation of the line is y=35x+354.

4 0

3 years ago

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

Blizzard [7]

Answer: 2,435

Step-by-step explanation:

trust

3 0

3 years ago