Can y’all help me ?

42 base x +53base x = 125base x. what is the value of x

Finger [1]

Answer:

Step-by-step explanation:

The largest number is 5. Therefore x ≥ 6.

Convert numbers from x system to decimal system:

$42_x=4x+2\\\\53_x=5x+3\\\\125_x=1x^2+2x+5$

Solve the equation for x:

$42_x+53_x=125_x\Rightarrow4x+2+5x+3=x^2+2x+5\qquad\text{combine like terms}\\\\(4x+5x)+(2+3)=x^2+2x+5\\\\9x+5=x^2+2x+5\qquad\text{subtract 5 from both sides}\\\\9x=x^2+2x\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\0=x^2-7x\\\\x^2-7x=0\qquad\text{distributive}\\\\x(x-7)=0\iff x=0\ \vee\ x-7=0\\\\x=0$

7 0

4 years ago

In the pair equations bx - 6y = 18 and 2x - 3y = 9, b is a constant. The system of two equations has infinitely many solutions.

sukhopar [10]

Well, if

{bx - 6y = 18 and {2x - 3y = 9, you might want to try elimination

Multiply second equation by -2: bx - 6y = 18 and -2(2x - 3y = 9)

Simplified: bx - 6y = 18 and -4x + 6y = -18

Now if you add them you get: -4x + bx = 0

Then simplified: bx = 4x

divide by x: b = 4

Your final solution is b = 4.

Hope that helps!

7 0

3 years ago

Find a using sin cos or tan Ex: a/sina=b/sinb

egoroff_w [7]

Check the picture below.

make sure your calcualtor is in Degree mode.

3 0

3 years ago

Simplify this expression. (g4)7 =

MatroZZZ [7]

Your answer is 7g^4

Hope this helps!

3 0

3 years ago

Read 2 more answers

How to find the area of the shaded areas and to round the nearest hundredth please and thank you it help me a lot if you could a

andrew-mc [135]

<h3>Please Read Through This, Answers are Listed.</h3>

As a heads up, this post is going to be very long.

So to do these questions, first know what you need to do.

Goals to do:

1 - Find the area of the circle

2 -Find how much of it is shaded

3 -Find the shaded's area.

So, the first goal is to find the area of the circle, well that's fairly simple. Just do pi r². (r stands for the radius)

With the first question, they list the length GH as 11 inches. So just plug it in!

pi 11² ---> pi * 121 ---> ≈380.13

Next, find the amount that is shaded. So with that, look at the angle inside the circle, it is 64°. By knowing that the whole circle is 360°, just do 64/360 to find the an "important number".

64/360 ---> 0.17777777...

By using this important number and multiplying it with your total circle area, you'll get your answer.

380.13 * 0.17777777... ---> ≈ 67.6in² (QUESTION 1 ANSWER)

And then just do the same with the rest...

Question 2:

pi 22² ---> pi * 484 ---> 1520.53

139/360 ---> 0.38611

1520.53 * 0.38611 ---> ≈ 587.09cm² (QUESTION 2 ANSWER)

Question 3:

pi 3² ---> pi * 9 ---> 28.27

84/360 ---> 0.2333...

28.27 * 0.2333 ---> ≈6.60mm² (QUESTION 3 ANSWER)

Question 4:

pi 14.2² ---> pi * 201.64 ---> 633.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 87 ---> 273/360 ---> 0.7583333

633.47 * 0.7583333 ---> ≈480.38m² (QUESTION 4 ANSWER)

Question 5:

pi 9² ---> pi * 81 ---> 254.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 42 ---> 318/360 ---> 0.88333

254.47 * 0.88333 ---> ≈224.78in² (QUESTION 5 ANSWER)

Question 6:

pi 28² ---> pi * 784 ---> 2463.01

115/360 ---> 0.319444

2463.01 * 0.319444 ---> ≈786.79m² (QUESTION 6 ANSWER)

Question 7:

pi 32.5² ---> pi * 1056.25 ---> 3318.31

29/360 ---> 0.080555

3318.31 * 0.080555 ---> ≈267.31ft² (QUESTION 7 ANSWER)

Question 8

pi 29.5² ---> pi *870.25 ---> 2733.97

***Because the angle is in the blank space, subtract it from 360 first before continuing. Along with that, the angle has a square in place of a number, meaning that it is a right angle, or 90°.

360-60 ---> 270/360 ---> 0.75

2733.97 * 0.75 ---> 2050.48mi² (QUESTION 8 ANSWER)

8 0

4 years ago