Mr Adi types up a short story.
It takes him 9 minutes to finish typing up the story at an average of 40
words per minute.
Mr Blade also types up the same story.
He takes 12 minutes to type it.
Work out Mr Blade's average number of words per minute.
...... words per minute

Answers

Answer 1

The average rate at which Mr. Blade types is 30 words per minute.

Average or mean is a measure of central tendency where it defines the central number of a data set.

Average is calculated by dividing the total sum of the values of the dat set divided by the frequency or the number of data in the set.

Mr. Adi takes 9 minutes.

The average rate of Mr. Adi is 40 words per minute.

So in 9 minutes he writes 40 × 9 = 360 words in total.

Mr. Blade typed the same number of words.

he took 12 minutes to type it.

So average rate = total words typed ÷ time taken (in minutes)

Average rate= 360 ÷ 12 =30 words per minute.

Hence Mr. Blade writes at the average rate of 30 words per minute.

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Related Questions

The grid above shows the graph of the parent function f(x) = | x | and a translated functions graph.


Write the equation for the translated graph.
Please Hurry, I will give brainliest!

Answers

By using the principles of translation, the following equation can be derived for the graph of the translated text:

g(x) = |x + 2| + 1.

What is a translation?

According to operations like multiplication or sum/subtraction either in its range (including values of y) or in its domain, a translation is represented by a change in the function graph (involving values of x).

Examples include shifts to the left, right, or bottom; compression or stretching along the vertical or horizontal axis; reflections across the x or y axes; and rotations of a degree measured around the origin.

From the graph, we have that the parent function was:

Shifted left 2 units, hence x -> x + 2.

Shifted up 1 unit, hence y -> y + 1.

Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:

g(x) = |x + 2| + 1.

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need help with inequality equations

Answers

Answer:

I and III

Step-by-step explanation:

I.

-6 - x ≤ 7

-6 - (-13) ≤ 7

-6 + 13 ≤ 7

7 ≤ 7

True

II.

-6 - x ≤ 7

-6 - (-14) ≤ 7

-6 + 14 ≤ 7

8 ≤ 7

False

III.

-6 - x ≤ 7

-6 - (-6) ≤ 7

-6 + 6 ≤ 7

0 ≤ 7

True

I hope this helps!

A women bought some large frames for $19 each and some small frames for $7 each at a closeout sale. If she brought 19 frames for $205, find how many of each type she bought

Answers

Answer:

the one I have found that would is

13 small frames

6 big ones

Step-by-step explanation:

not gonna lie I used trial and error

so I went for example 19 x 10 = 190

205 - 190 = 15 and then 15 / 7

I did this until I got an whole number on the divide by seven bit

4r-4s+4t = -4
4r+s-2t= 5
-3r-3s-4t=-16

Answers

Answer:

1) R = 1 S = 3 T = 1

2) R = 1 S = 3 T = 1

3) R = 1 S = 3 T = 1

Step-by-step explanation:

Surprisingly each of the situations end up with 1, 3, 1. I double checked with a calculator and they all end up being true. Hope this helps. Have a great night. :)

What is the difference between 10 and 5 in variable and verbal expression

Answers

As a verbal expression, the difference between 10 and 5 is 5

What is the difference between 10 and 5 in variable and verbal expression?

The numbers are given as

10 and 5

The difference between the numbers is calculated as

Difference = 10 - 5

Evaluate the difference

Difference = 5

The above represents the difference in variable

As a verbal expression, the difference between 10 and 5 is 5

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How much greater is 40,000 than 4,000

Answers

Answer:
40,000 is 10x greater than 4,000

Step-by-step explanation:
Times 4,000 by 10 and you get 40,000

What is the value of the expression 8 + (9 -1) \div÷ 4?

Answers

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

8 + (9- 1) ÷ 4

Use PEMDAS to determine order of operations in a mathematical expression

The order of operations is

P = parentheses
E = exponent

M = multiplication

D == division

A = addition

S = subtraction

Note that multiplication and division have the same priority and we go from left to right that case. Because it does not affect the answer.

So 12 ÷ 4 x 6 = 12 x 6 ÷ 4
Same for addition and subtraction - same priority

Using PEMDAS

(9 - 1) is executed first giving 8

The expression becomes 8 + 8 ÷ 4

Next division is performed so 8 ÷ 4 is executed giving 2 as the answer

Finally 8 + 2 is executed giving 10

Find the compound interest and the amount after twelve seconds if the interest is compounded
every three seconds.
Principal 20,000
Rate of interest = 800% per minute
=
Total amount =
Compound interest =

Answers

well, we know the rate is compounding at 800% per minute.

the elapsed time will be 12 seconds, and since a minute has 60 seconds, that'd be 12/60 minutes.

the compounding period is 3 seconds, and since a minute has 60 seconds, that means is compounds 60/3 times, or namely 20 times.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 800\%\to \frac{800}{100}\dotfill &8\\ n= \begin{array}{llll} \textit{times it compounds per minute}\\ \textit{twenty times} \end{array}\dotfill &20\\ t=minutes\to \frac{12}{60}\dotfill &\frac{1}{5} \end{cases}[/tex]

[tex]A=20000\left(1+\frac{8}{20}\right)^{20\cdot \frac{1}{5}} \implies A =20000(1.4)^4\implies A=76832[/tex]

17 + x = 15
pls help

Answers

Answer:

x = -2

Step-by-step explanation:

The equation is,

→ 17 + x = 15

Now the value of x will be,

→ 17 + x = 15

→ x = 15 - 17

→ [ x = -2 ]

Hence, the value of x is -2.

Step-by-step explanation:

17+x=15

17+x-17=15-17

x=-2

Solve for x to the nearest tenth.

Answers

Applying the Pythagorean Theorem, the value of x to the nearest tenth is: 4.5 units.

What is the Pythagorean Theorem?

If c represents the length of the longest side (hypotenuse) of a right triangle, and a and b are the lengths of the other smaller legs of the right triangle, the Pythagorean Theorem states that:

c = √(a² + b²).

In the diagram given, we have a right triangle that is a part of the given shape. Where:

Hypotenuse = c = x

a = 4 units

b = 5 - 3 = 2 units

Plug in the values

x = √(4² + 2²)

x = √(16 + 4)

x = √20

x ≈ 4.5 units (nearest tenth)

Thus, applying the Pythagorean Theorem, the value of x to the nearest tenth is: 4.5 units.

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One number is 19 greater than the other, the sum of these numbers is 97. What is the greater number?

Answers

Answer:

Greater number = 58

Step-by-step explanation:

The equation is,

→ (x + 19) + x = 97

Now the value of x will be,

→ (x + 19) + x = 97

→ 2x = 97 - 19

→ x = 78/2

→ [ x = 39 ]

Then the greater number is,

→ x + 19

→ 39 + 19 = 58

Hence, the answer is 58.

Answer:

58

Step-by-step explanation:

first number=x

second number= x+19

x+x+19= 97

thus, the two numbers are 39 and

Manuel gave the cashier $20 to pay for 3 bottles of hand sanitizer. The cashier gave him $8.03 in change. Each bottle cost the same amount.

Answers

Answer:

Each bottle cost $3.99.

Step-by-step explanation:

$20-$8.03=11.97

Each bottle = $11.97÷3

=$3.99

So now each bottle cost$3.99


Write each equation in logarithmic form. 64=4³

Answers

The  equation in logarithmic form is log₄(64) = 3

Given the equation is:

64 = 4³

The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function a y = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).

Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).

A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form

Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.

log₄(64) = 3

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Complete the identities.
csc θ =1/?

Answers

Answer:

? = sin θ

Step-by-step explanation:

csc θ =1/?

csc θ =1/sin θ

Identify the number types that describe 7 squared

Answers

The square root value of 7 is 2.645.

Irrational number

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.

Any square root number that cannot be represented as a fraction [tex]\frac{P}{Q}[/tex] for any integer p and q is said to be irrational.

A real number that cannot be expressed as a straight forward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to [tex]\frac{P}{Q}[/tex] if N is irrational.

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I need help figuring out what 7x + 5 divided by x is

Answers

Answer:

The way you described this question was a bit confusing- but here is what I can provide based off of what you said.

Step-by-step explanation:

7x+5/x


Please provide a picture next time

Triangle ABC with vertices A(–4, –4), B(–1, –2), C(3, –1) is rotated 180° about the origin. What are the coordinates of triangle A′B′C′?

Answers

Answer:

A(4, 4), B(1, 2), C(-3, 1)

Step-by-step explanation:

Because the triangle is rotated 180° about the origin you are just rotating it 2 quadrants, the size stays the same.

The rule for rotating 180° is if (x, y) is rotating 180° then the new position is (-x, -y).

So:

A(-4, -4), which then becomes B(-(-4), -(-4) ) = B(4, 4)

B(–1, –2) which becomes B(-(–1), –(-2) ) = B(1, 2)

C(3, –1) which becomes C(-3, –(-1) ) = C(-3, 1)

10)110
help me please

Answers

Answer:

If it is a division problem, then it is 11.

If it is a multiplication problem then it is 1100.

But it looks like division, so probably 11.

Answer:

011

Step-by-step explanation:

         0 1 1

--------------------------------

1 /

          0 1 1 0

 − 0    

   1 1  

 − 1 0  

     1 0

   − 1 0

       0

a to the power of 5 divided by a to the power of 3

Answers

Answer:

Step-by-step explanation: i thank the answer is 100 .

What is the approximate value of √8

Answers

Answer:

Close to 3 since 8 is close to 9.

The actual value was 2.8, so I approximated what was closest to it using rounding and the most logical explanation.

Work out
(3 × 10^−3)−(6 × 10^−5)
Give your answer in standard form.

Answers

Answer:

answer is

[tex] {2.94 \times 10}^{ - 3} [/tex]

Step-by-step explanation:

3*1/1000-6*1/100000=0.003-0.00006

=

[tex] {2.94 \times 10}^{ - 3} [/tex]

Identify each of the following anglemeasures as acute, right, obtuse, straight, or reflex 35° 91° 65° 28°

Answers

The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

How to identify each of the  angle measures?

The angle measures are given as:

35° 91° 65° 28°

As a general rule:

Angles that are less than 90 degrees are acute angles

This means that

The angles 35° 65° and 28° are acute angles

Also, we have

Angles that are between 90 degrees and 180 degrees are obtuse angles

This means that

The angle 91° is an obtuse angle

Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

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Carl works at a bicycle shop he earns eight dollars for each bicycle tire he repairs and $45 Dollars each week for cleaning the shop which expression shows how much Carl’s earn each week if he repaired X bicycle tires

Answers

8x+45=t
T=total
Because 8$ for every bike tire and x would be for however many he repairs and 45 he will get for cleaning the shop

Abby stacked two cube-shaped blocks, as shown below, and plans to paint the figure for an art project.



What is the surface area of the figure if s = 5 inches?

Answers

When Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²

What is surface area?

It should be noted that the surface area of a solid object is a measure of the total area that the surface of the object occupies.

Length (l) = 5 in

Width (w) = 5 in

Height (h) = 10 in

Surface area of figure

= 2 (lw+wh+hl)

= 2 (25 + 50 + 50)

= 2(125)

= 250

Therefore, when Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²

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ײ + 5× - 11 + 3ײ - 11 × + 2

hello guys please solve and give a solution tthankyou​

Answers

Step-by-step explanation:

start by collecting like terms

4x² - 6x -9

use quadratic equation, a=4, b= 6 and 9 = c.

x = 5,78 or x = -4,28


Find the domain, points of discontinuity, and x - and y - intercepts of each rational function. Determine whether the discontinuities are removable or non-removable. y=3x-3 / x²-1

Answers

The domain of given points are :

IR x ≠ ±1

Points of discontinuity - x = -1 ( non removable / asymptote )

                                         x = 1 ( removable / hole)

x - intercept = 1 , y -  intercept = 3

What is rational functions ?

Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).

CALCULATION

y=3x-3 / x²-1

= 3(x-1)/(x+1)(x-1)

The domain of given points are :

IR x ≠ ±1

Points of discontinuity - x = -1 ( non removable / asymptote)

                                       x = 1( removable / hole)

x-intercept :

3(x-1)=0

3x-3=0

x=1

y - intercept :

3(0-1)/(0+1)(0-1)=3

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2x(4+1)+(3x+5)+(2x+1)

Answers

Here’s the answer to the equation


Write each expression in radical form. y⁻⁴/₃

Answers

  The radical expression of the term y-⁴/³ is ∛y-⁴ or ∛(1/y⁴).

What is a radical?

  A radical is a number that is denoted by a root and can be easily identified because before the number is the symbol , which lets us know that it is a root.

 In this case we have an exponential number since it is raised to a number, radicals can be expressed as powers raised to fractions as follows:

√a = a¹/²

  If our term is raised to -4/3, it can be expressed as:

y-⁴/³ = y-¹/³ y-¹ = 1/y⁴/³ now we apply.

y⁴/³ = ∛y⁴ and apply to the numerator since it is not altered and we have

y-⁴/³ = ∛(1/y⁴)

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28:49 ratio in simplest form

Answers

Answer:

4:7

Step-by-step explanation:

thats the answer mate

Answer:

4 : 7

Step-by-step explanation:

28 : 49 ← divide both parts by 7

= 4 : 7 ← in simplest form

the ratio is in simplest form when no other value but 1 divides into the 2 parts of the ratio.


Solve the following system of equations. What is the x -coordinate of the solution?
y-3=x
y/x²-9}=1

Answers

The x-coordinate of the given equation is x=4.

What essentially is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value for the variable x as x = 7.


So,

Given:

y-3 = x ...(1)y/x²-9 = 1 ...(2)

Then,

y = x+3

Substitute y=x+3 in equation (2):

y/x²-9 = 1 x+3/x²-9 = 1 x+3/x²-3² = 1 1/x-3=1

(Cross multiply)

x-3=1x=1+3x=4

Therefore, the x-coordinate of the given equation is x=4.

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