what is 149 scaled down by a factor of 1/10

Answer:

i. [tex]Total\ Income = Rs\ 16,100[/tex]

ii. [tex]Monthly\ Sales = Rs\ 1,500,000[/tex]

Step-by-step explanation:

Given

[tex]Salary = Rs\ 12,500[/tex]

Commission = 0.5% of Monthly Sales

Calculating his total income is total sales is  Rs 720,000

[tex]Total\ Income = Salary + Commission[/tex]

Substitute (0.5% of Monthly Sales) for Commission

[tex]Total\ Income = Salary + (0.5\%\ of\ Monthly\ Sales)[/tex]

Substitute Rs 720,000 for Monthly Sales and Rs 12,500 for Salary

[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ of\ Rs\ 720,000[/tex]

[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ * Rs\ 720,000[/tex]

Convert % to decimal

[tex]Total\ Income = Rs\ 12,500 + 0.005\ * Rs\ 720,000[/tex]

[tex]Total\ Income = Rs\ 12,500 + Rs\ 3,600[/tex]

[tex]Total\ Income = Rs\ 16,100[/tex]

Calculating his total sales if total income = Rs 20,000

Recall that;

[tex]Total\ Income = Salary + Commission[/tex]

Substitute Rs 20,000 for Total Income; Rs 12,500 for Salary and (0.5% of Monthly Sales) for Commission

[tex]Rs\ 20,000 = Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]

Subtract Rs 12,500 from both sides

[tex]Rs\ 20,000 - Rs\ 12,500 = Rs\ 12,500 - Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]

[tex]Rs\ 7,500 = 0.5\%\ of\ Monthly\ Sales[/tex]

[tex]Rs\ 7,500 = 0.5\%\ *\ Monthly\ Sales[/tex]

Divide both sides by 0.5%

[tex]\frac{Rs\ 7,500}{0.5\%} = \frac{0.5\%\ *\ Monthly\ Sales}{0.5\%}[/tex]

[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]

Convert % to decimal

[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]

[tex]\frac{Rs\ 7,500}{0.005} = Monthly\ Sales[/tex]

[tex]Rs\ 1,500,000 = Monthly\ Sales[/tex]

[tex]Monthly\ Sales = Rs\ 1,500,000[/tex]

Answer:

6 combinations

Step-by-step explanation:

3 coats => Pink, Red, White

2 Scarves => Black, Grey

Gloves => Only 1

So the combination are drawn in the tree diagram below.

Hi there! Hopefully this helps!

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Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Answer: 3

Step-by-step explanation:

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]

[tex] tan E = 1 [/tex]

[tex]E = tan^{-1}(1)[/tex]

[tex] E = 45 [/tex]

Step-by-step explanation:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Answer:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Step-by-step explanation:

this was correct

Answer:

The answer is option B

Step-by-step explanation:

Using BODMAS the expression in the bracket

that's

( 9 + 3) must be solved first

Hope this helps you

Answer:

A. Obtuse

Step-by-step explanation:

Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.

Also it is not B an acute because not all the angles are acute.

Hence, the answer is A. Obtuse

Answer:

[tex]\boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

An obtuse triangle is a triangle with one obtuse angle and two acute angles.

An obtuse angle is an angle greater than 90 degrees.

An acute angle is an angle less than 90 degrees.

Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.

Angles B and A are acute angles, they are less than a right angle or 90 degrees.

Answer:

  8 servings

Step-by-step explanation:

At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...

  40 g/(5 g/serving) = 8 servings

Only 8 servings can be made with the available spice.

Rice to spice ratio = 15 : 1

Number of grams per serving = 75 grams

Grams of spice available = 40 grams

Grams of rice, r required for available spice :

15 grams of rice = 1 gram of spice

r grams of rice = 40 grams of spice

Cross multiply :

r = (40 × 15)

r = 600 grams

The grams of rice which can go with the available spice :

Number of servings = grams of rice / grams per serving

Number of serving = 600 grams / 75 grams

Number of grams per serving = 8

Hence, The number of servings which can be made with the available spice is 8 servings

Learn more : https://brainly.com/question/18796573

Answer:

[tex]\boxed{a=40}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

[tex]a[/tex] is equivalent to all the other [tex]a[/tex].

Put up an equation and solve for [tex]a[/tex].

[tex]60+a+a+a=180[/tex]

[tex]3a+60=180[/tex]

[tex]3a=120[/tex]

[tex]a=40[/tex]

Answer:

Step-by-step explanation:

in the given figure;

a+60deg.+a+a=180 deg.

=> 3a+60=180

=> 3a=180-60

=> 3a=120

=> a=120/3

   =40 deg.

Answer:

Angles 1 and 2 are both obtuse and adjacent.

Step-by-step explanation:

We can go about this systematically.

Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.

Right: Greater than 90°, not equal, so not right.

Obtuse: Greater than 90°, so it's obtuse.

Adjacent: The angles are next to each other, so they are adjacent.

Vertical: They share a vertex, but they are not opposite to each other.

Complementary: They do not form a right angle together.

Supplementary: They do not form a straight angle together.

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I hope this helps, let me know if you have any questions.

Correct Answers:

right

vertical

supplementary

I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.

Answer:

[tex]y=x-6[/tex]

Step-by-step explanation:

    First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.

    So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].  

    Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]

Answer:

Yes

Step-by-step explanation:

We can draw a quadrilateral with no parallel lines and at least one right angle

Answer:

Yes

Step-by-step explanation:

It's possible to draw a quadrilateral with no parallel lines and with 1 right angle        

I really hope this helps I know how you feel (:-D)

Answer:

y = |x - 1|

Step-by-step explanation:

This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

convert it into the equation 5=k/4

so 5x4 is 20

k=20

then x=20/y

and y is 7

so the answer is 20/7

Answer:what!?

Step-by-step explanation:

Answer:

Step-by-step explanation:

cost of one box = RS20

IT IS 20 TIMES MORE THAN COST OF ONE BOX

Answer:

The cost of 1 small box of mixed organic vegetables is $20. The cost of 20 small boxes of vegetables is $380 more than the cost of 1 small box.

Step-by-step explanation:

Since the cost of 9 small boxes is $180, we can divide both by 9 to get the price of one small box. 180/9=20. The cost of 20 small boxes is 20 boxes multiplied by 20 dollars, which is 400 dollars. $400-$20=$380.

Answer:

15.62 = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10 ^2 + 12^2 = x^2

100 +144 = x^2

244 = x^2

Take the square root of each side

sqrt(244) = sqrt(x^2)

15.62049935 = x

Rounding to the nearest hundredth

15.62 = x

Answer:

15.62

Step-by-step explanation:

We can use the Pythagorean Theorem.

10^2+12^2=c^2

100+144=c^2

244=c^2

15.62=c, or x=15.62

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

Answer:

The answer is y minus x = negative 4

or c for short

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

i got it right on the test

Answer:

y -1 = -3(x+1)

Step-by-step explanation:

First find the slope

(-1,1) and (1,-5)

m = (y2-y1)/(x2-x1)

   = (-5-1)/(1--1)

   =-6/ (1+1)

   = -6/2

   = -3

We are using point slope form

y-y1 = m(x-x1)  where m is the slope

y - 1 = -3( x - -1)

y -1 = -3(x+1)

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y= mx + c

where m is the slope

Slope of the line using points

(-1,1) and (1,-5) is

[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]

Therefore the equation of the line using point (-1,1) is

Hope this helps you

Answer:

Step-by-step explanation:

There is a 1/20 chance of getting a 1.

This is a 5% chance.

I would say it's highly unlikely.

If this helped, please mark brainliest :D

Answer:

highly unlikely

Step-by-step explanation:

It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

Answer:

A

Step-by-step explanation:

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

Learn more about uniform probability distribution at

https://brainly.com/question/20411994

#SPJ2

Answer:

132 tiles

Step-by-step explanation:

We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.

Answer:

28°F

Step-by-step explanation:

We can find the change in temperature by subtracting 44 from 72:

72 - 44 = 28

So, the change in temperature was 28°F

Answer:

The 6 rules/steps are below

Step-by-step explanation:

1. determine the smallest and largest number

2. Using the largest and smallest number, make sure that your graph can fit both of those numbers

3. identify the stems/tens place

4. fill in the leaves/ones place

5. Sort them from lowest to highest

6. Check

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

Answer:

Depends on the number.

Step-by-step explanation: