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Step-by-step explanation:

The Base of the triangle= 3+6=9 units

Altitude of the triangle=6-2=4 units

Hence, Area of a triangle= Base×Altitude ×1/2

Hence, Area of the abc = 9×4×1/2=18 unit^2

Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting  numbers, sometimes including 0.

Answer:

rational

Step-by-step explanation:

Answer:

The fraction 3/10 is a rational number. All fractions are rational numbers.

Answer:

Jeff added 52 grams more

Step-by-step explanation:

How much is 2/3 cup:

Jeff added 84 grams instead of 32 grams, so he added:

Answer:

-8

Step-by-step explanation:

isolate the 3a by subtracting 15 from 9 which gives you -24 then divided 3a by -24 which gives you -8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 8}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3a + 15 = - 9}[/tex]

Move 15 to right hand side and change its sign

⇒[tex] \sf{3x = - 9 - 15}[/tex]

Calculate

⇒[tex] \sf{3x = - 24}[/tex]

Divide both sides by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 24}{3} }[/tex]

Calculate

⇒[tex] \sf{x = - 8}[/tex]

Hope I helped!

Best regards! :D

Answer:

Hey there!

Using the vertical line test. In a function, one x value only has at most one y value.

Let me know if this helps :)

divide the temperature by the number of hours

36/12

answer: 3 degrees

Answer:

Hey there!

[tex]\sqrt{5}= 2.24\\\sqrt{32}= 5.66\\\sqrt{70}=8.37[/tex]

Let me know if this helps :)

Answer:

[tex] \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}[/tex]

Step-by-step explanation:

Let Cost price ( C.P ) be x

Finding the Marked price and selling price

Marked price = [tex] \sf{x + 20\% \: of \: x}[/tex]

⇒[tex] \sf{x + \frac{20}{100} \times x}[/tex]

⇒[tex] \sf{ \frac{x \times 100 + 20x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} }[/tex] ⇒ ( i )

Selling price = [tex] \sf{marked \: price \: - 18\% \: of \: marked \: price}[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{54x}{250} }[/tex]

⇒[tex] \sf{ \frac{120x \times 5 - 54x \times 2}{500} }[/tex]

⇒[tex] \sf{ \frac{600x - 108x}{500} }[/tex]

⇒[tex] \sf{ \frac{492x}{500} }[/tex] ⇒ ( ii )

Finding the value of x ( Cost price )

[tex] \sf{loss = cost \: price - selling \: price}[/tex]

⇒[tex] \sf{20 = x - \frac{492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{x \times 500 - 492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{8x}{500} }[/tex]

⇒[tex] \sf{8x = 10000}[/tex]

⇒[tex] \sf{x = \frac{10000}{8} }[/tex]

⇒[tex] \sf{x = \: Rs \: 1250}[/tex]

Value of x ( cost price ) = Rs 1250

Now, Replacing the value of x in ( i ) in order to find the value of marked price

[tex] \sf{marked \: price = \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120 \times 1250}{100} }[/tex]

⇒[tex] \sf{ \: Rs \: 1500}[/tex]

Replacing value of x in ( ii ) in order to find the value of selling price

[tex] \sf{selling \: price = \frac{492 \: x}{500} }[/tex]

⇒[tex] \sf{ \frac{615000}{500} }[/tex]

⇒[tex] \sf{ \: Rs \: 1230}[/tex]

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

Answer:

384 possible combinations are available.

Step-by-step explanation:

Types of sandwiches = 3

Types of bread = 2

Available toppings = 6

Choices for each topping = 2

Total combinations available = 3.2.2.2.2.2.2.2

                                             = 3(128)

                                               = 384

Answer:

OK i am 13 and want to help but I am not sure how to do it but I think if you find a patter then divide it by 609 it might work

Step-by-step explanation:

The number of the terms will be 20 to get the sum of 609.

An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.

Given sequence is -1, 2, 5,… the sum is 609.

The number of the terms will be calculated by using the sum formula;-

Sn = ( n / 2 ) [ ( 2a + ( n - 1 )d ]

609 = ( n / 2 ) [ ( 2 x -1 ) [ ( n - 1 ) x 3 ]

609 = ( n / 2 ) [ ( -2 + 3n - 3 ) ]

609 = ( n / 2 ) [ ( -5 + 3n ) ]

1218 = -5n + 3n²

3n² -5n -1218 = 0

n = 20

n = -21

Therefore, the number of the terms will be 20 to get the sum of 609.

To know more about arithmetic series follow

https://brainly.com/question/6561461

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Answer:

21 or 21/1 or 42/2

Step-by-step explanation:

1. you need to change 1 1/2 to a uneven fraction

1 1/2 to 3/2

2. 3/2 * 14/1

3. Multiply across - 3/2 * 14/1 = 42/2

4.Then simplify: 21

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1 \frac{1}{2} \times 14}[/tex]

Convert mixed fraction into improper fraction

⇒[tex] \sf{ \frac{2 \times 1 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{2 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{3}{2} \times 14}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

⇒[tex] \sf{ \frac{3 \times 14}{2 \times 1} }[/tex]

⇒[tex] \sf{ \frac{42}{2} }[/tex]

Divide 42 by 2

⇒[tex] \sf{21}[/tex]

Hope I helped!

Best regards!!

Answer:

-1.65

Step-by-step explanation:

3.3/(-2)=-1.65

Answer:

179 yds traveled in total.

Step-by-step explanation:

If the ball was 126 yd north of the ninth hole then it would be 126 yd to the hole.

Then you would have to go another 53 yd south to get to the ball.

So if you add the two together then it would be 179 yds traveled.

===============================================

Explanation:

Start at 6 and count the small tickmarks to see that it takes 5 spaces to go from 6 to 7 on the number line.

So each small tickmark represents 1/5 of a unit.

The arrow is 3 ticks away from the 6, so we add on 3/5 to 6 getting the mixed number 6 + 3/5 = 6 & 3/5

The 6 is the whole part, while 3/5 is the fractional part.

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

Let's convert to an improper fraction

6 & 3/5 = 6 + 3/5

6 & 3/5 = 6*(5/5) + 3/5

6 & 3/5 = 30/5 + 3/5

6 & 3/5 = (30+3)/5

6 & 3/5 = 33/5

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

You could also use the formula

a & b/c = (a*c + b)/c

to get

6 & 3/5 = (6*5 + 3)/5

6 & 3/5 = 33/5

Set of ordered pairs (x, y) could represent a linear function

B= {(-1,2), (2, 1), (5,0), (8, -1)}

Option B is correct

Linear function is a function whose graph is a straight line .

Slope of a line tells us how steep the line is . Slope of a line is same at all the points.

Slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Lets find out slope of any two points in each option

A = {(-6,3), (-3,0), (0, -3), (3,-5)}

[tex]\frac{0-3}{-3+6} =-1\\\frac{-5+3}{3-0} =-\frac{2}{3} \\[/tex]

Slopes are not same

Lets check the second option

B={(-1,2), (2, 1), (5,0), (8, -1)}

[tex]\frac{1-2}{2+1} =\frac{-1}{3} \\\frac{0-1}{5-2} =\frac{-1}{3} \\\frac{-1-0}{8-5} =\frac{-1}{3} \\[/tex]

The slope of any two points are equal .

slope are same . So it represents a linear function .

C = {(-4,-7), (-1, -3), (2.0), (5,3)}

[tex]slope =\frac{-3+7}{-1+4}=\frac{4}{3} \\slope =\frac{0+3}{2+1}=\frac{3}{3}=1[/tex]

Slopes are not same . So it is not a linear function

D = {(-5, -8), (-2,-4), (1,1), (4,6)}

[tex]slope = \frac{-4+8}{-2+5}= \frac{4}{3} \\Slope = \frac{1+4}{1+2}= \frac{5}{3} \\\\slope = \frac{6-1}{4-1}= \frac{5}{3} \\[/tex]

Slopes are not same . so it is not a linear function .

Option B is correct.

Learn more information about 'linear function' here

brainly.com/question/2503612

Answer:

Answer:One plane can be drawn so it contains all three points.

Step-by-step explanation:

Took the test :P

One plane can be drawn, so it contains all three points. Then the correct option is C.

Coordinate geometry is the study of geometry using the points in space.

Consider points R, S, and T. Point S is in the middle.

Point R is below and to the left of point S. Point T is below and to the right of point S.

Let the coordinate of the S is at origin that is (0, 0)

Then the coordinate of R and T with respect to S will be (-x, -y) and (x, -y).

One plane can be drawn, so it contains all three points.

Then the correct option is C.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

[tex]Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3[/tex]

[tex]Possible\ Ways = 729[/tex]

Hence, there are 729 ways of answering the question

Answer:

33 quartes and 5 nickels

Step-by-step explanation:

Answer:

To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.

pls give brainliest

Answer:

12+5

Step-by-step explanation:

[tex] - ( - a) = a \\ 12 - ( - 5) = 12 + 5[/tex]

Answer:

12+5=17 ?

Step-by-step explanation:

I've labeled where the vertex is and where the parabola should be. I recommended using this online calculator called desmos. Super useful!

Answer:

4n

Step-by-step explanation:

1. -7n-5n= -2n

2. -2n + 6= 4n

Answer:

-2 + 6

Step-by-step explanation:

Hopefully I helped :) Sorry if i didn't atleast i tried !

Answer:

i  got  11.8 and what do  u mean by the 2, do u mean the 2 strokes, that means that  they  are equal

Step-by-step explanation:

Answer:

6 + 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since the triangle is isosceles then the 2 marked sides are congruent.

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Thus perimeter (P) is the sum of the 3 sides

P = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]

  = 2[tex]\sqrt{20}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 2([tex]\sqrt{4(5)}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2 ( [tex]\sqrt{4}[/tex] ×  [tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2(2[tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 4[tex]\sqrt{5}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 6 + 5[tex]\sqrt{5}[/tex]

Answer:

$260

Step-by-step explanation:

Answer:

Where is the statement

Answer:

true

Step-by-step explanation:

Answer: true

Step-by-step explanation:

ap3x

Answer:

2/5x

Step-by-step explanation:

Step 1: Write out "two fifths" in number form

*This becomes a fraction*

2/5

Step 2: Write out "a number" in number form

*This is a variable*

x

Step 3: Combine "of a"

*This means multiply}

2/5x