If 2/5 divided by blank = 4/5 what is blank

Answers

Answer 1
Answer: 2/5 ÷ x = 4/5
multiply both sides by x to get it out of the denominator.
2/5 = 4/5x
now divide each side by 4/5 to get x by itself.
2/5 ÷ 4/5 = x
divide fractions by multiplying the reciprocal of the divisor.
2/5x × 5/4 = x
10/20 = x
1/2 = x

So 2/5 divided by 1/2 =4/5

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X = ?17 - x = 13 Solve for x.Thanks in advance.

Please help me with this equation

Answers

Answer:

θ = π/6 or 5π/6

Step-by-step explanation:

2 sin^2 (θ) + 5 sin (θ) = 3

First step to solving for the solution is by factoring.

Since these are both sin functions, this equation can be rewritten like this:

2 sin^2 (θ) + 5 sin (θ) = 3 → sin (θ) (2 sin(θ) + 5) = 3.

Then

sin (θ) (2 sin(θ) + 5) - 3 = 0

θ = π/6 + 2πn, θ = 5π/6 + 2πn

A cone has a diameter of 6 centimeters and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?one over three(3.14)(3cm)2(18cm)
one over three(3.14)(6cm)2(18cm)
one over three(3.14)(18cm)2(3cm)
one over three(3.14)(18cm)2(6cm)

Answers

The volume of the cone is calculated by the formula:

V = B*H/3
r=D/2 = 6/3 = 2
where B is surface area of basis and H is height.

B is circle which fomula for surface is:
B = r^2 * pi = 3^2*3,14 = 9*3,14 = 28.26

from condition of height we write:
H = 3*D = 3*6 = 18

now volume is:

If we express all of that in equation of volume we get:

V = 1/3* 3^2*3,14*18

Answer is first option.

Answer:

Answer is first option.

Step-by-step explanation:

V = 1/3* 3^2*3,14*18

on january 1,1999,the price of gasoline was$1.39 per gallon .if the price of gasoline increased by 0.5%per month ,what was the was the cost of one gallon of gasoline,to the nearest cent,on january 1 one year later?

Answers

P(t)=1.39.(1.005)^t \ \ \ \ where t \ is \ time \ in \ months\n \n P(1)=1.39.(1.005)^1\n \n P(1)=1.39*1.005\n \n P(1)=\$ \ 1.40

Answer:

$1.40

Step-by-step explanation:

plug into formula

if plugged in right, plug into calculator.

You then should get the total of $1.40. :D

Enter the next three terms in the geometric sequence. Round to the nearest tenth value. 36, 54, 81, 121.5, ...

Answers

Answer:

The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)

Step-by-step explanation:

A geometric sequence is one in which successive members are multiples of a constant common ratio.

From the sequence, we can identify that;

First term a = 36

common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term

Hence, common difference d = 54/36 = 81/54 = 1.5

The next three terms of the sequence are the 5th, 6th and 7th term respectively.

For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3

For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5

For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3

Mr. Ishimoto ordered x new math books and y new workbooks for his class. The total weight of the box of books cannot be more than 50 pounds. If each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?

Answers

Unfortunately, there are no given choices. However, I could provide the possible inequalities from the given problem. Converting the given to inequalities: 3.2x + 0.8y < 50 x + y = maximum There is no other limiting equation (i.e. the total cost of the books) such that the, if you wanted to maximize x, results to minimum y and vice versa.

Write an equation in the form of y=mx for the proportional relationship that passes through the points (2, -15) and (6, -45).

Answers

Answer:

Answer will be :

Y= -15/2x