A number is 1/7 another number. the difference of the number is 18. assume that you are subtracting the smaller number from the larger number. find the number

Answers

Answer 1

Answer: Let us assume the bigger number = x
Then the smaller number that we get = x/7
Now it is given in the question that we have to subtract the smaller number from the bigger number and the result is 18. Based on this information, we can create an equation
(x/7) - x = 18
(x - 7x)/7 = 18
-6x/7 = 18
-6x = 18 * 7
-6x = 126
-x = 126/6
-x = 21
x = -21
Now putting the value of x in
x/7 = - 21/7
= -3
Then the two numbers are -21 and -3.

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Which ordered pair in the form(x,y) is a solution of this equation? 7x-5y=1
A] (-3,-2)
B] (-2,-3)
C] (0,4)
D] (4,0)

Answers

The ordered pair is (-2, -3)

Step-by-step explanation:

Step 1: To find whether an ordered pair is a solution, substitute values of x and y and see whether it satisfies the equation.

(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1

(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1

(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1

(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1

So the ordered pair is (-2, -3)

Which ordered pair is the solution to the system of equations?x+3y=12
-4x+3y=-3
A.
(0, 4)

B.
(6, 2)

C.
(3, 3)

D.
(0, −1)

Answers

-1*/x+3y=12
-4x+3y=-3

-x-3y= -12
-4x+3y= -3
+-------------------
-5x= -15
x=3

x+3y=12

3+3y=12

3y=9 y=3

(x,y)=(3,3)

$x+3y=12\n-4x+3y=-3\n\nx+3y=12\n4x-3y=3\n------\n5x=15\nx=3\n\n3+3y=12\n3y=9\ny=3\n\n(3,3)$

Is the quotient of 2 nonzero integers always an integer explain

Answers

integers are whole numbers, they can be positive or negative....they are not decimals or fractions.

quotient means divide...so lets pick 2 non zero integers....2 and 3....now divide them.
2/3 = 0.66....so ur answer is FALSE..because we took 2 non zero integers and divided them, but we didn't get an integer as an answer.

Sometimes it is true...but not all the time.
2/4 = 2...here it is true
2/3 = 0.666 ...here, it is not

How many solutions does the system of equations have? A.
The system has exactly one solution.

B.
The system has no solution.

C.
The system has infinitely many solutions.

Answers

The answer to your question is A. The system has exactly one solution.

Hi Brainiac

x+y=3

3x+3y=15

We need to solve for x+y=3 for x

So let's start by adding -y to both sides

x+y-y=3-y

x= -y+3

Now we need to substitute -y+3 for x in 3x+3y=15

3x+3y=15

3(-y+3)+3=15

9=15

Next, add -9

9-9 = 15-9

0=6

Answer: No Solutions

I hope that's help:0

Frances is sewing a border around 2 rectangular tablecloths that each measure 9 feet long by 6 feet wide. If it takes her 3 minutes to sew on 1 inch of border, how many minutes will it take her to complete her sewing project? Write an expression, and then solve.

Answers

2,160 minutes

Further explanation

Given:

Frances is sewing a border around 2 rectangular tablecloths that each measure 9 feet long by 6 feet wide.
It takes her 3 minutes to sew on 1 inch of the border.

Question:

How many minutes will it take her to complete her sewing project?
Write an expression, and then solve it.

The Process:

The following are the steps to form the expression.

Perimeter of a rectangle: $\boxed{2 * (9 + 6)}$
The total perimeter of the two rectangles: $\boxed{2 * 2 * (9 + 6)}$
Converting feet to inches: $\boxed{2 * 2 * (9 + 6) * 12}$
She takes 3 minutes to sew on 1 inch of the border of a tablecloth, therefore we can write an expression as follows: $\boxed{\boxed{ \ 2 * (2 * (9 + 6 )) * 12 * 3 \ }} \ in \ minutes$

Let us solve the expression.

$\boxed{\ 2 * (2 * (9 + 6 )) * 12 * 3 \ } \ in \ minutes$

$\boxed{\ = 2 * (2 * 15) * 12 * 3 \ } \ in \ minutes$

$\boxed{\ = 2 * 30 * 12 * 3 \ } \ in \ minutes$

$\boxed{\ = 720 * 3 \ } \ in \ minutes$

Thus she takes 2,160 minutes to complete her sewing project.

- - - - - - - - - -

The following are the complete steps.

Step-1:calculating the total perimeter of the border around 2 rectangular tablecloths

Recall the perimeter of a rectangle.

$\boxed{ \ Perimeter = 2 * (length + width) \ }$

$\boxed{ \ Perimeter = 2 * (9 + 6) \ }$

$\boxed{ \ Perimeter = 2 * 15 \ }$

Hence the perimeter of a rectangular tablecloth is 30 feet.

So, the total perimeter of the border around 2 rectangular tablecloths is $\boxed{30 \ feet * 2 = 60 \ feet}$

Step-2:converting feet to inches

Recall that $\boxed{1 \ feet = 12 \ inches \ }$

Let us convert 60 feet to inches.

$\boxed{\ = (12 \ inches)/(1 \ feet) * 60 \feet \ }$

$\boxed{\ = 720 \ inches \ }$

Step-3:calculating minutes will it take her to complete her sewing project

She takes 3 minutes to sew on 1 inch of the border of a tablecloth. There are 2 rectangular tablecloths.

$\boxed{ \ = (3 \ minutes)/(1 \ inch) * 720 \ inches \ }$

$\boxed{ \ = 3 * 720 \ minutes \ }$

$\boxed{\boxed{ \ 2,160 \ minutes \ }}$

Thus she takes 2,160 minutes to complete her sewing project.

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Keywords: Frances is sewing, a border, around, 2 rectangular tablecloths, that each measure 9 feet long by 6 feet wide, takes, 3 minutes to sew, 1 inch of border, how many, minutes, to complete her sewing project, write an expression, to solve it

The perimeter of a rectangle is - 2 x (length + breadth).

Also, 1 feet = 12 inches.

So, the dimensions of the tablecloth are 108 inches long by 72 inches wide. So, the total perimeter of the table cloth is --> 2 x (108 + 72) = 360 inches.

So, time taken for 1 tablecloth = 360 x 3 = 1080 minutes.

And, Time taken for 2 tablecloths = 1080 x 2 = 2160 minutes.

So, to complete her sewing project, Frances will take a total of 2160 minutes (36 hours).

Covert 5 inches per second to feet per minute

Answers

Answer:

Step-by-step explanation:

To convert from inches per second to feet per minute you've to multiply the value by 5.

So 5x5 = 25 feet per minute.

That's the simplest way to do it, if you want to know the advanced one i can explain it for you.

Answer:

Step-by-step explanation:

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