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Pavlova-9 [17]
4 years ago
10

Given that 110ₓ = 40₅ , find the value of x.

Mathematics
2 answers:
adell [148]4 years ago
4 0

Answer:

is therr more to that question

Step-by-step explanation:

Crazy boy [7]4 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

110ₓ = 40₅    --------- change all to base ten.

<u>the system called binary </u>

1x²+1x ¹+0x⁰ = 45¹+0*5⁰

x² + x + 0 = 20

x² + x – 20 = 0

solve x using Quadratic equation

       -1 ±  \sqrt{1^2 - 4 * 1 * (-20)}

x =  ------------------------------------

                       2 * 1

x = -5;  x = 4

therefore, x = 4

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15000(0.068÷12)(1+0.068÷12)^12×4(1+0.068÷12)^12×4 -1​
zhuklara [117]

Answer: 1556.52935024

Step-by-step explanation: Pemdas

According to Khan Academy, "The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)."

7 0
2 years ago
Quadrilateral ABCD is a rhombus with an area of 20 square inches.
Ugo [173]

Answer:

area of rhombus =1/2 d1×d2

20=1/2 ×10×d2

d2=4

intersection of diagonal make right angle and cut in equal parts

d1/2=10/2=5

d2/2=4/2=2

use Pythagoras in right angle to bide side

side^2= 5^2 +2^2

side = √29

8 0
3 years ago
Do the ratios 4/5 and 12/20 form a proportion?
yKpoI14uk [10]

Answer:

No. They are not in proportion

Step-by-step explanation:

\sf \dfrac{4}{5} \ \text{is in the simplest form}

\sf \text{Simplest form of $\dfrac{12}{20}$} = \dfrac{12 \div 4}{20 \div 4}=\dfrac{3}{5}

So, they are not in proportion

7 0
2 years ago
Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0
3 years ago
Read 2 more answers
Simplify.<br> Rewrite the expression in the form 4^n<br> (4^6)(4^-8) =
stiks02 [169]

Answer:

  4^-2

Step-by-step explanation:

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

This means ...

  (4^6)(4^-8) = 4^(6-8) = 4^-2

7 0
3 years ago
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