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Mrrafil [7]
1 year ago
15

A business executive bought 40 stamps for

Mathematics
1 answer:
alekssr [168]1 year ago
3 0

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.

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Step-by-step explanation:

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3 years ago
Please Solve this Lines and angles question
Kay [80]

Answer:

133°

Step-by-step explanation:

As vertically opposite angles are equal,

< B E D = < F E G

Therefore,

< B E D = 47°

We know that co - interior angles which occur between 2 parallel lines, are added up to 180°.

Given that, < A B E = x

Therefore,

< B E D + < A B E = 180 °

47 + x = 180

x = 180 - 47

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Let me know if you have any other questions. :)

8 0
2 years ago
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3 0
2 years ago
Since Marnie has bought her car,the value has gone down 15%.If her car is 13000 right now,how much was it worth when she bought
Serggg [28]
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Present value of the car = 13000
Let us assume that the value of the car at the time of buying = x
So
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Then
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6 0
3 years ago
What is the constant of variation for the quadratic variation? 0.1y = 3x2
svet-max [94.6K]

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

y = kx^2     ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

0.1y=3x^2  or

y=(\frac{3}{0.1})x^2 or

y=30x^2

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the  constant of variation is, 30.

6 0
3 years ago
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