16. A perfect number is one for which the sum of the proper divisors is
equal to the number. (The proper divisors are the ones that are less than
the number and divide evenly into the number.) For instance, 496 is a
perfect number. The proper divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124,
and 248. The sum of the divisors is
1 + 2 + 4 + 8 + 16 +31 +62 + 124 + 248 = 496.
Find a perfect number between 20 and 30.
I
SECTION
a. Anita and the owner of the utility stock purchased their shares
through an online brokerage, whereas Tony and the owner of the au-
tomotive stock did not.
b. The gain in value of Maria's stock is twice the gain in value of the au-
tomotive stock
c. The technology stock is traded on NASDAQ, whereas the stock that
Tony bought is traded on the New York Stock Exchange.

Answer:

$600

Step-by-step explanation:

1800/300 = 6, so he got 6 'lots' of reward points

6 * 100 = $600

Answer:

He spent $600

Step-by-step explanation:

What you do is 1800/300= 6, so 100 × 6 = $600

Scale factor used by Nancy for the model of an airplane = 1 : 14

Length of the tail of the airplane = 5.7 inches

Scale factor is defined by the expression,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

By substituting the dimension of the model in the expression,

[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]

Dimension of the original plane = 14 × 5.7

                                                     = 79.80 inches

Therefore, length of the tail of the actual airplane will be 79.80 inches.

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Length of Actual airplane's tail is 79.8 inches or 6.65 ft

Given:

Scale model sample = 1 : 14

Length of model airplane's tail = 5.7 inches

Find:

Length of Actual airplane's tail

Computation:

Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample

Length of Actual airplane's tail = 5.7 × 14

Length of Actual airplane's tail = 79.8 inches

Length of Actual airplane's tail = 79.8 inches or 6.65 ft

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Answer:

Step-by-step explanation:

∠1 with 53° arc measure is vertical pair with 47° arc:

∠1 and ∠2 are forming a straight line:

53° and 47° angled arcs are vertical pairs

<1 and <2 are linear pair

m<2=180-50=130°

Answer:

Step-by-step explanation:

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

= x^2 + 5x + 6

a=1

b=2

c=5

d=1

e=6

Answer:

go to MME click revise gcse maths and it would say geomatry foundtion  Step-by-step explanation:

Answer:

Step-by-step explanation:

point: the basic unit of geometry

line: it extends to 2 directions without any end

line Segment: it is a line but has end points eg the length of you book

(And there are a few types of lines like parallel lines and intersecting lines you can check that on You tube)

Rays: Rays are like line segments but has only 1 end point

curves: do i have to explain its just some squiggles

Polygons: polygons are shapes that are made up of straight line Segments

polygons are named based on the number of sides it has

3 sides: TRIANGLES

4 sides: QUADRILATERALS

5 sides: PENTAGONS

6sides : HEXAGONS and there are many more...

THERE WAY TOO MUCH LIKE ANGLES, INTEROR POINT, EXTEROR POINT, CIRCLES ETC sorry i can't explain that much......

Answer:

All I can say is that it isn't linear, as the number would then be the same every year

Answer:

B. exponential; y= 91 * 0.77x

Step-by-step explanation:

The Answer is A.

y=91*0.77^x

I just substituted the x on all of them and only one got the corrct y which is A.

Answer:

f(g(25)) = -5

Step-by-step explanation:

You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:

g(5) = √25 = 5

f(5) = 5^2 -6•5

f(5) = 25 -30

f(5) = -5

Answer:19

Step-by-step explanation:

because if it added it becomes that

Answer:

48 + 30m

Step-by-step explanation:

The perimeter of a hexagon is 6 times its side length.

6(8 + 5m)

= 48 + 30m (Distributive property)

Answer:

Perimeter is (8x + 4) units.

Step-by-step explanation:

[tex]{ \sf{perimeter = side + side + side}} \\ { \sf{p = (2x + 1) + (7x - 2) + (5 - x)}} \\ { \sf{p = (2x + 7x - x) + (1 - 2 + 5)}} \\ { \sf{p = 8x + 4}}[/tex]

[tex](3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28[/tex]

I hope I helped you^_^

Answer:

68/35

Step-by-step explanation:

Answer:

1.94285714286 (Rounded to): 1.943

Answer:

percent of iron in alloy= 100-42 = 58%

weight of the iron = 55×58÷100= 31.9

weight of iron= 31.9 kg

weight of copper= 55-31.9=23.1

weight of copper = 23.1

Step-by-step explanation:

[ I'm not sure but I think this is right ]

Answer: copper = 23.1 kg

             iron = 31.9 kg

Step-by-step explanation:

copper = 42% of 55

             = 42/100 * 55

            = 42/20 * 11

           = 21/10 * 11

          = 231/10

          = 23.1 kg

  so iron = 100% - 42%

             = 58%

so

58% of 55

= 58/100 * 55

= 58/20 * 11

=31.9 kg

Step-by-step explanation:

=2[5+2(8-6)]

=2[5+2(2)]

=2[5+4]

=2×9

=18

Answer: 18

Concept:

When encountering a question that needs to do operations with expressions, using the PEMDAS method will ease the process.

Solve:

Given

2 [5 + 2 (8 - 6)]

Simplify values in the parentheses

=2 [5 + 2 × 2]

Simplify with multiplication

=2 [5 + 4]

Simplify the parentheses

=2 × 9

=18

Hope this helps!! :)

Please let me know if you have any questions

Answer:

6x - 8

Step-by-step explanation:

2(3x – 4)

Distribute

2*3x - 2*4

6x - 8

Answer:

answer C

6x minus 8

use distributive property

Answer:

the greatest common factor is 4a

Step-by-step explanation:

1)

[tex]\frac{2}{3} +\frac{4}{5} =\frac{10+12}{15}=\frac{22}{15} .[/tex]

2) the same value of the denominator of the fractions.

3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.

Megan's answer is correct.

4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).

5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.

6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.

7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.

Answer:

i)

Sum of two parts:

Students taking part in both parts:

ii)

Debate only:

Quiz contest only:

Venn diagram will look like this:

Step-by-step explanation:the LCM of 5 and 6 should be taken which is 30 the 22 should be multiplied with 6 11 to be multiplied with 5 so by subtracting their product we get the result as 77/30

please mark me the brainliest

Answer:

[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

I hope this makes sense...and is visible..

:)

Answer:

the length is 20 feet and the width is 16 feet long

Step-by-step explanation:

Answer:

Step-by-step explanation:

13) LCM of 20 , 5 is 20

Find equivalent fraction for 2/5 with denominator 20

[tex]\dfrac{2}{5}=\dfrac{2*4}{5*4}=\dfrac{8}{20}[/tex]

Now compare

[tex]\dfrac{7}{20} \ < \dfrac{8}{20}\\\\\dfrac{7}{20} \ < \dfrac{2}{5}[/tex]

14) Convert fraction to decimal

[tex]\dfrac{1}{8}= 0.125[/tex]

0.15  > 0.125

[tex]0.15 \ > \dfrac{1}{8}[/tex]

15) 0.5 , -1/7  , -0.2  ; 1/3

[tex]\dfrac{-1}{7}=-0.14\\\\\dfrac{1}{3}=0.3\\[/tex]

0.5, - 0.14 , -0.2  ; 0.3

Least to greatest:

-0.2 ;  - 0.14   ; 0.3  ; 0.5

Answer:

-0.2  ; [tex]\dfrac{-1}{7} \ ; \dfrac{1}{3} \ ; \ 0.5[/tex]

Answer:

a) 11      b) 29      c) 50

Step-by-step explanation:

tn=3n+8

(a) t(1) = 3(1) + 8 = 11

(b) t(7) = 3(7) + 8 = 29

(c) t(14) = 3(14) + 8 = 50

Answer:

450

Step-by-step explanation:

The total is 100 %

20% + 35% +15% = 70%

100-70 = 30

He saves 30%

1500 * 30%

1500 *.30

450

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

Answer:

1

or,x+60°=180°(Being the sum of supplementry angle is equal to 180°)

or,x=180°-60°

:x=120°

2

or,y=120°(Being corresponding angle)

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

Answer: 50%

Step-by-step explanation:

hope this helps !

Answer:

[tex] \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ \frac{243 {a}^{11} }{9 {b}^{9} } } = \sqrt[3]{ \frac{27 {a}^{11} }{ {b}^{9} } } [/tex]

➡️ [tex] \sqrt[3]{ \frac{27 {a}^{11} }{ \sqrt[3]{ {b}^{9} } } } = \sqrt[3]{ \frac{ {3}^{3} • {a}^{9} • {a}^{2} }{ \sqrt[3]{ {b}^{9} } } } [/tex]

➡️ [tex] \frac{ \sqrt[3]{ {3}^{3 }} • \sqrt[3]{ {a}^{9} } • \sqrt[3]{ {a}^{2} } }{ \sqrt[3]{ {b}^{9} } } [/tex]

➡️ [tex] = \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex] ✅