Divide 7/15 by 3/5.
A. 75/21
B. 7/9
C. 7/25
D. 21/75

Answers

Answer 1
Answer: In this question there is nothing complicated. Only thing is to know the way fractions can be divided. Once that is known the problem would be one of the easiest to solve. Now let us get back to the problem and look at all the information's that are given in the question.
Divide 7/15 by 3/5 = (7/15)/(3/5)
                              = (7 * 5)/(15 * 3)
                               = (35/45)
Dividing the numerator and the denominator by 5 for simplifying purpose, we get
                               = 7/9
So from the above deduction we can easily conclude that 7/9 is the correct answer and option "B" is the correct option among all the options given in the question.
Answer 2
Answer: If you would like to solve 7/15 / 3/5, you can calculate this using the following steps:

7/15 / 3/5 = 7/15 * 5/3 = 7/9

The correct result would be B. 7/9.

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Find the equation of the line that contains the point ( - 1. - 4) and is parallel to the line 2x + 3y = 5

Answers

Answer:

Answer: 2x+3y=-14

Y needs to be changed in order to maintain parallelism

Good luck!

Existen tres órdenes de producción en proceso. Las ordenes A y B juntas tienen 150 unidades; B y C juntas, 100 unidades, y A y C juntas, 150 unidades. ¿Cuánto tiene cada orden?

Answers

orders are a, b, c, lets write equations to represent the problem's info:
a + b = 150
b + c = 100
a + c = 150
so we have 3 unknowns and 3 equations, so we can solve.
Use the first equation:
a + b = 150
a = 150 - b
and substitute in the 3rd:
a + c = 150
150 - b + c = 150
then
b = c
and we can substitute that in the original equation:
b + c = 100
2b = 100
b = 50
c = 50
and substitute in the first equation:
a + b = 150
a = 150 - b = 150 - 50
a = 100
then a = 100, b = c = 50

PLEASE HELP!!!!!!solve for the equations :
- 3y + 7 + 3(y-1) = 2(2y+6)

- (x-5)(x+4) = (x+7)(x-6)

- 2(x+1)2(x-2)2 = x(x-3)

Answers

-3y + 7 + 3(y - 1) = 2(2y + 6)
-3y + 7 + 3y - 3 = 4y + 12
4y = 4 - 12 = -8
y = -8/4 = -2.

-(x - 5)(x + 4) = (x + 7)(x - 6)
-(x^2 + 4x - 5x - 20) = x^2 - 6x + 7x - 42
-x^2 + x + 20 = x^2 + x - 42
2x^2 = 62
x^2 = 62/2 = 31
x=\pm√(31)
1.y=-2
2. x1,2=+-5.56
3.x1=16.13 , x2=-0.85

Mr.Harrison borrows $600 to pay for a new phone. The simple interest on the loan is 9% for one year. What is the total amount Mrs.Harrison will pay back. PLEASE HURRY, thank uuuuu :)

Answers

Answer:

$ 654

Step-by-step explanation:

Mr  Harrison borrows money to buy a new phone = $ 600

Simple interest on amount to be paid for 1 year =9%

Time amount to be paid= 1 year

Simple Interest= (PRT)/(100)

Simple Interest=600×(9)/(100)×1

Simple Interest= $54

Total Amount to be paid= 600 + 54

Total Amount = $655

Hence $ 654 is correct answer

Answer: the total amount Mrs. Harrison pay back will be, $654

Step-by-step explanation:

What is 2 1/4 inches + 5 3/4 inches + 8 1/2 inches equals

Answers

2 1/4 inches + 5 3/4 inches  + 8 1/2 inches:

First, to start solving this problem, we will have to add the whole numbers first. The whole numbers are the...whole numbers in front of the fraction. In this case, the whole numbers would be 2, 5, and 8. So, we have to add those three numbers up (2 + 5 + 8) to get the answer which is 15.
15 +  (1)/(4) +  (3)/(4) +  (1)/(2)

Second, now we have to find the least common denominator (LCD) of the three denominators. The denominators are the bottom number of the fraction. This case the denominators would be 4, 4, and 2.To find the LCD, we will have to list the multiples of each denominator and find the first common one.

Multiples of 4: 4
Multiples of 4: 4
Multiples of 2: 2, 4

Since 4 appears in the multiples of each denominator, 4 is our LCD. 

Third, since only one fraction needs their denominator changed (the other two fractions already carry the denominator of 4), we have to multiple each number by whatever gets us 4. Remember, whatever you do to the bottom, do to the top.
15 +  (1)/(4) + (3)/(4) +  (1*2)/(2*2) = 15 +  (1)/(4) + (3)/(4) +  (2)/(4)

Fourth, since all of our denominators are the same, we can now combine our numerators (join the denominators) and add them all up. 
15 +  (1+3+2)/(4) = 15 +  (6)/(4)

Fifth, we now need to convert 6/4 into a mixed fraction. To find the mixed fraction form of 6/4, we will need to divide the denominator (4) by the numerator (6) and then write any remainder above the denominator. 

Mixed fraction: 15 + 1 (2)/(4) = 16  (2)/(4)

Sixth, we can simplify 2/4 down some more. To do so, we need to find the greatest common factor of the numerator and denominator, then divide the GCF by them. To find the GCF, we list all of the factors of them and find the first common one.

Factors of 2: 1, 2
Factors of 4: 1, 2, 4

The GCF is 4.

Seventh, we can now divide both our numerator and denominator by our recently found GCF which was 2. 
2 / 2 = 1 \n 4 / 2 = 2

Answer in fraction form: \fbox  {16 1/2 inches}
Answer in decimal form: \fbox {16.5 inches}
2.25 + 5.75 + 8.5 = 16.5 inches or 1.375 feet.

What is the 10th term of the geometric sequence 400, 200, 100...?

Answers

ANSWER

a_ {10} = (25)/(32)

EXPLANATION

The given geometric sequence is

400, 200, 100...

The first term is

a_1=400

The common ratio is

r =  (200)/(400)  =  (1)/(2)

The nth term is

a_n=a_1( {r}^(n - 1) )

We substitute the known values to get;

a_n=400(  (1)/(2) )^(n - 1)

a_ {10} =400(  (1)/(2) )^(10 - 1)

a_ {10} =400(  (1)/(2) )^(9)

a_ {10} = (25)/(32)