All categories

1 year ago

Given these equations x+y=9.0 0.50x+0.20y=4.05

Mathematics

2 answers:

kow [346]1 year ago

5 0

When we solve these equations x= 7.5 and y= 1.5.

tankabanditka [31]1 year ago

4 0

Answer:

Step-by-step explanation:

Given are two simultaneous equation in two variables x and y as

$x+y =9\\0.5x+0.2y = 4.05$

To solve this let us multiply second equation by 5

$x+y =9\\2.5x+y = 20.25\\----------------------\\-1.5x =-11.25\\x = 7.5$

Substitute x value in I equation to get

$7.5+y =9\\y =1.5$

So solution set is

$x=7.5\\y=1.5$

You might be interested in

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e

inna [77]

Answer:

The general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .

Step-by-step explanation:

The standard form of equation of circle.

$(x - h)^{2} + (y - k)^{2} = r^{2}$

Where (h,k) is the centre of a circle and r is the radius.

As given

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units .

Put in the formula

$(x - 3)^{2} + (y - 8)^{2} = 5^{2}$

(By using the formula (a - b)² = a² + b²- 2ab)

As 5² = 25

x² + 9 - 6x + y² + 64 - 16y = 25

x² + y² - 6x - 16y + 9 + 64 = 25

x² + y² - 6x - 16y + 73 = 25

x² + y² - 6x - 16y + 73 - 25 = 0

x² + y² - 6x - 16y + 48 = 0

(As the general equation of a circle are in the form x² + y² + Ax +By + F =0 Where A,B and C are constant .)

Therefore the general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .

6 0

1 year ago

Matthew manages the packaging department of his company. Yesterday, the department operated for only 4 hours due to a company pi

yKpoI14uk [10]

Alright, lets get started.

If Matthew wants to complete packages at an average rate of at least 39 packages per hour.

And they worked 4 hrs only due to picnic, yesterday, it means they have to make $39*4 = 156$ packages.

But they made only 112 packages means they are short of $156 - 112 = 44$ packages.

Suppose they are working today t hrs, and his department will complete 43 packages per hour today.

It means they are going to make 43 t packages today.

This 43 t packages includes those 44 too , which they are short of yesterday due to picnic.

So, average will be

$\frac{43 t - 44}{t} = 39$ (39 average given in question)

Cross multiplying

$39 t = 43 t - 44$

Adding 44 in both sides

$39 t + 44 = 43 t - 44 + 44$

$43 t = 39 t + 44$

Subtracting 39 t in both sides

$43 t - 39 t = 39 t + 44 - 39 t$

$4t = 44$

Dividing 4 in both sides

t = 11 hrs

Hence they have to woth 11 hrs today : Answer

Hope it will help :)

3 0

1 year ago

Read 2 more answers

A new car is purchased for 20700 dollars. The value of the car depreciates are 11% per year. What will the value of the car be,

ASHA 777 [7]

Answer: $5,744.61

Step-by-step explanation:

year 1 = -2,277

year 2 = -2026.53

year 3 = -1803.61

year 4 = -1605.21

year 5 = -1428.64

year 6 = -1271.49

year 7 = -1131.62

year 8 = -1007.17

year 9 = -896.36

year 10 = -797.76

year 11 = -710

you are subtracting 11% from each year.

5 0

1 year ago

Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 P.M.

sergeinik [125]

So the tower is going to be larger than the shadow but not to large so let work from there and not to large so the only logical answer is d

3 0

1 year ago

Read 2 more answers

Whats another way to write 300 70 5/10 8/100?

Aloiza [94]

I don't understand what you mean by 300 and 70, unless you meant 300/70 (in that case it would be 30/7).

5/10 would be 1/5

8/100 would be 2/25.

8 0

2 years ago

Read 2 more answers