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nadezda [96]
4 years ago
12

Application of linear equation in two variable in real life

Mathematics
1 answer:
Ivan4 years ago
6 0
We can compare the two units or object performances by that.... even in the case of magnitude lower than zero....
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the sum of a two digit number is 10. the value of the number is 16 times the units digit. find the number
Tresset [83]

Answer:

64

Step-by-step explanation:

Hello, we can write this two digit number 'ab', a and b being positive integer between 0 and 9.

For instance , 54, a = 5 and b =4

The number can be written 10*a+b (54=5*10+4, for instance)

The sum of a two digit number is 10.

a + b = 10

The value of the number is 16 times the units digit.

10a + b = 16b <=> 10a = 16b - b = 15b

a = \dfrac{15}{10}b=\dfrac{3}{2}b=\dfrac{3}{2}(10-a)=15-\dfrac{3}{2}a\\\\ \dfrac{2+3}{2}a = 15\\\\ 5a=30  a = 6

and then, b = 10 - 6 = 4.

So the solution is 64.

Thank you

5 0
4 years ago
The rectangular floor of a classroom is 28 feet in length and 32 feet in width. A scale drawing of the floor has a length of 7 i
earnstyle [38]
I believe it is 56 square inches
8 0
3 years ago
Complete the table below. If it is possible to work out the measure of the angle, write it down and show your method. If it is n
cestrela7 [59]

Answer:

w = 70°

x = 70°

y = 40°

z = 40°

Step-by-step explanation:

Notice that two sides of the figure are parallel to each other according to the arrow marking on both sides. This means that by definition this figure must be a parallelogram. This also means that the two other sides must be parallel as well so that there are also two sets of parallel sides.

There is also a transversal (line that cuts across two lines) of which are parallel, this forms different angles which are corresponding, alternate interior, alternate exterior, and supplementary.

70° at <BDC and w are alternate interior which means that they must be the same measure.

Therefore

w = 70°.

Since a parallelogram consists of 2 equal triangles, and we know that two angles are both 70° given that w is 70°, all interior angles must add up to 180° according to the triangle angle sum theorem. So 70° + 70° + y° = 180°.

140° + y° = 180°

–140° –140

Therefore

y = 40°.

Since angle x is exterior and adjacent of (next to) the two interior angles (70° and y), they are supplementary pairs which means that they add up to 180°, because they form a straight line.

Knowing that y is 40°,

x° + 40° + 70° = 180°.

x° + 110° = 180°

–110 –110

Therefore

x = 70°.

Now since angle z is alternate interior of angle y, alternate interior angles have the same measure by definition.

Given that we already know the measure of y = 40°. z must also be 40°

Therefore

z = 40°.

3 0
3 years ago
Read 2 more answers
The side of an oil tanker is ripped open during an accident at sea. Oil starts leaking out of the ship at the rate of 60 barrels
Viefleur [7K]

Answer:

<h2> 3600 barrels</h2>

Step-by-step explanation:

Step one

Given data

We are told that the rate of leakage is

60 barrels per minute

time = 1 hours= 60 minute

Required

The quantity of the oil that leaked after time = 1 hour= 60 minutes

Step two:

From

Rate=Quantity/time

Quantity= rate*time

Quantity= 60*60

Quantity= 3600 barrels

3 0
3 years ago
The same amount of principal is invested in different accounts earning the same interest rate. Which of the following accounts
jek_recluse [69]

Answer:

D. An account earning interest compounded daily

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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