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2 years ago

Solve by using elimination 3x-2y=1. 8x+3y=2

1 answer:

3 0

Elminate the y's
multiiply first euation by 3 and multiply 2nd equation by 2 and ad them

9x-6y=3
<u>16x+6y=4 +</u>
25x+0y=7

25x=7
divide both sides by 25
x=7/25
sub back

3x-2y=1
3(7/25)-2y=1
21/25-2y=1
note: 1=25/25
minus 21/25 fromboth sides
-2y=4/25
divide both sides by -2 (or times -1/2)
y=4/-50
y=-2/25

x=7/25
y=-2/25

(-2/25,7/25)

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Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.

kifflom [539]

The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true

6 0

2 years ago

Find the slope of the line passing through the points<br> (-6,-5) and (4,4)

marshall27 [118]

Answer:

$\frac{9}{10}$

Step-by-step explanation:

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here, $x_{1}$ is -6, $x_{2}$ is 4, $y_{1}$ is -5, and $y_{2}$ is 4.

$m=\frac{4+5}{4+6}$

$m=\frac{9}{10}$

So, the slope of the line passing through the points (-6,-5) and (4,4) is $\frac{9}{10}$ .

3 0

2 years ago

Write an expression for the nth term of the geometric sequence. Then find the indicated term. a1 = 3, r = 3 , n = 10

MissTica

Answer:

$A_{n} =3(3)^n^-^1$

$A_{10} = 59,049$

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2 years ago

A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to mee

Dafna11 [192]

Answer:

300

Step-by-step explanation:

24000/80

7 0

3 years ago

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The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actu

LenaWriter [7]

It is given that the scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden.

Therefore, we can see clearly that the width of the scale model is 1.5 feet. Hence, the width of the actual garden which has been enlarged by a scale factor of 7 will be 7 times the width of the scale model.

Thus the width of the actual garden will be: $1.5\times 7=10.5$ feet

In a similar fashion the length of the actual garden will be $4\times 7=28$ feet

Thus, the area of the actual garden will be:

$Area=Length\times width=10.5\times 28=294$ $ft^2$

As we can see, out of the given options, the last option is the correct one.

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2 years ago

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