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RideAnS [48]
2 years ago
6

Part A: If (6^2)x = 1, what is the value of x? Explain your answer. (5 points)

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
4 0
A)
36x = 1
Hence, x = 1/36
b)
(6^0)x = 1
1x = 1 (indices rule x^0 = 1)
Hence, x = 1
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anna is on a road trip. she uses 3/4 of a tank of gas every 9/2 hours. How many tanks of gas will anna use after 12 hours?
tatiyna

Answer:

Step-by-step explanation:

This is a proportional question. If you learn how to keep things together, they are not only easy to do, they are mechanical: they are all done exactly the same way.

tanks of gas             different tanks of gas          

==========     =         ================

hours                                  different hours.

initial tank of gas = 3/4 tank

initial hours = 9/2 = 4.5 hours

final tanks of gas = X

final time = 12 hours.

Solution

3/4                            x

====         =      ==============

4.5                           12

Cross multiply

4.5x = 12*3/4                      Combine the right

4.5x = 36/4                        Simplify  

4.5x = 9                              Divide both sides by 4.5

x = 9/4.5

x = 2

So she will need 2 tankfuls.

 

7 0
2 years ago
: Which equations have an infinite number of solutions? Select all that apply. A -2(x - 2) + 3x = x - 4 B 2x + 4(x - 1) = 3(2x +
MissTica

Option C and Option D

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4 has infinite number of solutions

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4) has infinite number of solutions

<h3><u>Solution:</u></h3>

Given that we have to find the equations that has infinite number of solutions

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions.

If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

<h3><u>Option A</u></h3>

-2(x - 2) + 3x = x - 4

Multiply the terms inside the bracket

-2x + 4 + 3x = x - 4

x + 4 = x - 4

Thus this equation does not have infinite number of solutions

<h3><u>Option B</u></h3>

2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

x = \frac{9}{2}

Thus this equation has only one solution.

Thus this equation does not have infinite number of solutions

<h3><u>Option C</u></h3>

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

Thus this equation has infinite number of solutions

<h3><u>Option D</u></h3>

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

Thus this equation has infinite number of solutions

3 0
3 years ago
Find the area of a circle with a radius of 7.
Mashutka [201]

Step-by-step explanation:

area of circle= πr²

3.14×7×7

153.86 is the required area

6 0
3 years ago
4. (02.05) Which of the following expressions is the conjugate of a complex number with 2 as the real part and 31 as the imagina
lisabon 2012 [21]

Answer:I think

Step-by-step explanation:

Ifoly/3fcEdSxund

8 0
3 years ago
3. Sandy's Sweets sells cookies for $1.50 cach while Barbara's Bakery sells cookies for $2.10 each. After
Anna11 [10]

Answer:

5 times

11.50

plz give brainiest

Step-by-step explanation:

4 0
2 years ago
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