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3 years ago

The difference between two numbers is 9Find these numbers if their sum is 45.

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer:

spoe that x and y are the two numbers. Then we have x-y=9 and x+y=45. By adding the two equations together we obtain 2x=54 and so x=27. This implies that y=45-27=18.

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What is the reciprocal of 10 2/3

Zinaida [17]

Answer:

the reciprocal is 3 /32

5 0

2 years ago

Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded

Westkost [7]

Answer:

3.8 months

Step-by-step explanation:

Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded

quarterly. Assuming no deposits or withdrawals are made, how long would it take, to

the nearest year, for the value of the account to reach $51,800?

First step! What is 5.3% of 36k?

1,908

Second Step! Divide

51,800/1,908= 27.1488469602

Third Step! Round

27.1488469602= 27.1

27.1 weeks.

7 weeks in a month.

12 months in a year.

27.1/7= 3.8

3.8 months

5 0

3 years ago

Read 2 more answers

The endpoints of one diagonal of a rhombus are (-7, -2) and (-1, -4). If the coordinates of the 3rd vertex are (-6, -9), what ar

podryga [215]

The coordinates of the 4th vertex of the rhombus are (-2,3)

<h3>How to determine the coordinates of the 4th vertex?</h3>

The diagonals are given as:

(-7, -2) and (-1, -4)

The 3rd vertex is given as: (-6,-9)

Calculate the distance between the vertices of the diagonals and the 3rd vertex using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}$

So, we have:

$d_1 = \sqrt{(-7 + 6)^2 + (-2 + 9)^2} =\sqrt{50$

$d_2 = \sqrt{(-1 + 6)^2 + (-4 + 9)^2} =\sqrt{50$

Let the 4th vertex be (x,y)

So, we have:

$d_3 = \sqrt{(-7 - x)^2 + (-2 - y)^2} =\sqrt{50$

$d_4 = \sqrt{(-1 - x)^2 + (-4 - y)^2} =\sqrt{50$

Equate d3 and d4

$\sqrt{(-1 - x)^2 + (-4 - y)^2} = \sqrt{(-7 - x)^2 + (-2 - y)^2}$

Take the square of both sides

$(-1 - x)^2 + (-4 - y)^2 = (-7 - x)^2 + (-2 - y)^2$

Expand

$1 + 2x + x^2 + 16 + 8y + y^2 = 49 + 14x + x^2 + 4 + 4y + y^2$

Evaluate the like terms

1 + 2x + 16 + 8y = 49 + 14x + 4 + 4y

Collect like terms

14x - 2x + 4y - 8y = 1 + 16 - 49 - 4

12x - 4y = -36

Divide through by 4

3x - y = -9

Next, we test the options in the above equation

Point (-8,13) means x = -8 and y = 13

So, we have:

3x - y = -9

3(-8) - 13 = -9

-37 = -9 --- this is false

Point (-2, 3) means x = -2 and y = 3

So, we have:

3x - y = -9

3(-2) - 3 = -9

-9 = -9 --- this is true.

Hence, the coordinates of the 4th vertex are (-2,3)

Read more about rhombus at:

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8 0

1 year ago

Can anyone help me with these 2 problems?

Westkost [7]

10.00 - 3.55 = 6.45 back

a $5 bill and a $1 dollar bill = $6

a quarter and 2 dimes = 0.45

so 2 bills and 3 coins

B) 120 x 4 = 480 minutes

480/60 = 8 hours

8 0

3 years ago

1. <br> Solve for x.<br><br> 1<br> 3<br> x<br> -<br> 4<br> =<br> 11<br><br> x=

kolezko [41]

We conclude that the solution to the given linear equation is x = 15/13.

<h3>How to solve that equation for x?</h3>

Here we have the linear equation:

13x - 4 = 11

And we want to solve this for x. To do so, we need to isolate x in one side of the equation.

We can start by adding 4 in both sides, so we get:

13x - 4 + 4 = 11 + 4

13x = 15

Now we can divide both sides by 13, so we get:

13x/3 = 15/13

x = 15/13

We conclude that the solution to the given linear equation is x = 15/13.

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7 0

1 year ago

The difference between two numbers is 9Find these numbers if their sum is 45.​

The difference between two numbers is 9Find these numbers if their sum is 45.