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3 years ago

If Mark got 6 questions out of 40 incorrect,what percent of the questions did he get correct?

Mathematics

2 answers:

tia_tia [17]3 years ago

8 0

6/40 simplified is 3/20
3/20=15/100
100-15=85
The answer is 85%

Bess [88]3 years ago

4 0

Subtract the number wrong from the total number of questions.

40-6=34

Then divide the number correct by the total number of questions.

34/40= 0.85

Which is 85 %

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20. What is the y-intercept of the line<br> y + 11 = -2(x + 1.5).

Vinvika [58]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

3 years ago

877 to binary, octal, and hexadecimal

statuscvo [17]

Our number system is in base 10, which means that each digit has a value that is a multiple of 10.

For ex:
877 literally means
8 7 7 where each digit is multiplied by
10^ 2 10 ^1 10^0 respectively
which is 8 * 10^ 2 + 7 * 10^1 + 7 * 10^0 = 8 * 100 + 7 * 10 + 7 * 1 = 800 + 70 + 7 = 877

Binary is in base 2, so each of its digits (which can only be 0 or 1) are multiplied by multiples of 2 (2^0, 2^1, 2^2 ect.)

To find what 877 is in binary you can do the following:
the symbol : means divide and i'll write the quotient + the remainder

877 : 2 = 438 + 1 (438 is the quotient, 1 is the remainder)
438 : 2 = 219 + 0
219 : 2 = 109 + 1
109 : 2 = 54 + 1
54 : 2 = 27 + 0
27 : 2 = 13 + 1
13 : 2 = 6 + 1
6 : 2 = 3 + 0
3 : 2 = 1 + 1
1: 2 = 0 + 1

now write ALL off the remainders from BOTTOM to TOP:
1101101101

use a similar step for octal (use 8 instead of 2 as the divisor) and hexidecimal (use 16 instead of 2 as the divisor)

6 0

3 years ago

Express 510 & 3/10 % as a decimal fraction.

Naddika [18.5K]

Answer:

5.10 and 0.3

Step-by-step explanation:

510% in decimal form is 5.10 if u move the decimal to the left twice

3/10% is 30% which in decimal from is .3 if u move the decimal over to the left twice

hope this helps

5 0

3 years ago

What is the equation of the line graphed below? (3,-1) A. y=1/3x B. y=x C. y=-3x D. y=- 1/3x

Rzqust [24]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the question is mentioned below.

If we look the function given below then it can be observed that the given graph is linear. Also, the line passes through (0,0) and (3,1).

The slope of the line is,

Slope, m = (1-0)/(3-0) = 1/3

The y-intercept of the line is at the origin. Thus, the equation can be written as,

y = (1/3)x + 0

y = (1/3)x

Hence, the correct option is A.

Learn more about Equation of Line:

brainly.com/question/21511618

#SPJ1

5 0

2 years ago