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Vesnalui [34]
3 years ago
15

How to tell if a system of equations has no solution or infinitely many?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
Non of the lines are the same, the equations are dependent linear equations.
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n200080 [17]
1/2 scale factor for them to be equal to each other :)
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2 years ago
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This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and
kari74 [83]

208.81 square centimeters of aluminium are needed

<em><u>Solution:</u></em>

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

<em><u>The surface area of cylinder is given by formula:</u></em>

A = 2 \pi r(h+r)

Where "r" is the radius and "h" is the height of cylinder

<em><u>Substituting the values we get,</u></em>

A  = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81

Thus 208.81 square centimeters of aluminium are needed

8 0
3 years ago
A business executive bought 40 stamps for
alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

x + y =40

<em>(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)</em>

Now, let's make an equation for the cost of these stamps.

0.33x + 0.23y = 12.40

<em>(AKA - The cost of the stamps in total, should equal $12.40).</em>

So now, we have our two equations:

x + y =40\\0.33x+0.23y=12.40

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

x+y=40\\x=40-y

Now, let's put this into our second equation.

0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40

Distribute, and solve for y.

13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8

Now, we plug this into one of our equations.

x+y=40\\x+8=40\\x=32

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0
1 year ago
Round each amount to the nearest hundred to find the estimate of 9635 - 4891
vovikov84 [41]

Answer:

the answer is 4,744

Step-by-step explanation:

just subtract

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lidiya [134]

Answer:

4. Answer is 19

5. Answer is 77

Step-by-step explanation:

65-(-12)

= 65+12

=77

5 0
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