Find a 20 given that a 3 = 9 and a 8 = 24

Answers

Answer 1

Answer:

a₂₀ = 60

Step-by-step explanation:

Given :-

a₃ = 9

a₈ = 24

To find :-

a₂₀

Solving :-

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

Final answer :-

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

a₂₀ = 60


Related Questions

how many lines can be constructed perpendicular to AB that pass through point D?
A. 0
B. 1
C. 2

Answers

Answer I believe is C. 2 but I could easily be wrong

87 children had to be taken to a basketball game. The school van could only fit 10 children in the van at one time. How many trips does the van need to make? A. 6
B. 7 C. 8

Answers

Answer:

(D) 9 Trips

87 / 10 = 8,7, so it takes at least 9 trips


Think About a Plan
The gazebo in the photo is built in the shape of a regular octagon. Each side is 8 ft long, and the enclosed
area is 310.4 ft2. What is the length of the apothem?
• How can you draw a diagram to help you solve the problem?
• How can you use the area of a regular polygon formula?

Answers

Answer:

9.7 ft

Step-by-step explanation:

Use the formula for the area of a regular polygon with "n" sides with lengths "s" and apothem a:

A= 1/2 ans

1. Substitute A= 310.4

2. n= 8 (for octagon)

3. s = 8 (length of side)

310.4 = 1/2 (a)(8)(8)

310.4= 32a

a= 9.7 ft

Length of apothem: 9.7 ft

the picture shows a transparent piece of paper with a design drawn on it. The paper is then folded twice, as shown. what will be seen on the folded paper?

Answers

Folding the paper is an illustration of rotation

Two right triangles and one square would be seen on the diagram, when folded

How to determine the output of folding the paper

From the figure, we have the following highlights

The paper is a squareThe paper is transparentThe designs on the paper are on either sides

This means that when the paper is folded as shown, the designs would fall on each other, and the shapes would fit in perfectly.

Hence, two right triangles and one square would be seen on the diagram, when folded

Read more about rotation at:

https://brainly.com/question/4289712

5. How can you use the Distributive Propery
factor the expression 6x + 15?

Answers

Answer:

3(2x+5)

Step-by-step explanation:

Since the GCF of 6 and 15 is 3, you should take out the 3 from both parts of the equation.

this can be the expression 3(2x+8)

Please look at the picture and answer it. Thank you.

Answers

Answer:

63

Step-by-step explanation:

27+90=117

180-117=63

x = 10

Work shown in image! Hope this is helpful & accurate:)

Adele and her best friend, Valentina, want to rent a canoe to explore the lake by their campsite. The Boat Bunker charges $27 for 3 hours. Oar City charges $45 for 9 hours. Which store has the better value?

Answers

Answer:

Oar City

Step-by-step explanation:

boat bunker charges 9$ per hour

27÷3=9

while Oar City charges 5$ per hour

45÷9=5

Check whether the given ratios are equal
5:7 and 35:49

Answers

Step-by-step explanation:

1st ratio=

5:7

[tex] \frac{5}{7} [/tex]

2nd ratio =

35:49

[tex] \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} [/tex]

Hence, the ratios are equal

Solution:

Step-1: Convert the ratios into fractions.

5:7 = 35:495/7 = 35/49

Step-2: Simplify both sides of the fraction.

~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.

35/49 ⇒ 7 x 5/7 x 7 ⇒ 5/7

⇒ 5/7 = 35/49

⇒ 5/7 = 5/7 (Yes. They are equal)

can someone help me please

Answers

the answer to this question is x=E

The graph shows the distance $y$ (in miles) that a bus travels in $x$ hours. Find and interpret the slope of the line.

The slope of the line is (Answer here)

. The bus is traveling at a speed of (Answer here)

miles per hour.

Answers

Answer:

Slope= 30

Speed = 30 miles per hour

Step-by-step explanation:

Given two points the slope will be change in y over change in x

OR (y-y1)/(x-x1)

(120-60)/(2-1) = 60/2 = 30miles/hr

Drag the tiles with the correct pairs

Answers

The middle one first then the last one second then the first one first

I was reading a book of 560 pages. On Sunday, I was able to finish 1/4pages of the book. How many pages do I read on Sunday?

Answers

Answer:

140

Step-by-step explanation:

560. 1

____. ÷. ______

1. 4

Cross out the numbers that are divisible

560/4 = 140

Which of the following inequalities best represents the graph above?

a > 9

a < 9

a _< 9

a _> 9

Answers

Answer:

C

Step-by-step explanation:

Because it can be 9 or less than 9

Answer:
The answer would be C

Step-by-step explanation:

The reason why the answer would be C is because if it were to only be exactly at nine it would be the symbol of just less then but because the circle is filled that means that is less then or equal to

Have a good day

Find the cost of purchasing 30 roses. Show how you know.

Answers

Answer:

90 dollars

Step-by-step explanation:

so first you need to solve for the rate of change or slope with the equation

y 2 - y1 / x2 - x1

here i think the independent variable is number of roses since the dollars rely on the number of roses (sorry for my explanation its kinda bad)

so since number of roses is independent we know that it is x and that the price in dollars is y

anyways we have to substitute two values into the equation

y 2 - y1 / x2 - x1

(3, 9) (6, 18)

18 - 9 / 6 - 3

9 / 3

3

knowing that the rate of change is 3, to find the price for 30 roses all we have to do is:

let p be price

p = 3x

p = 3(30)

p = 90 dollars

I need help I am confused

Answers

The answer is C.)

1/3 = 0.3333… (the decimal 3 repeats forever)

.3 = 0.30

3% = 0.03

Therefore, in order of greatest to least, the numbers go from 3, 1/3, .3, 3%. The correct answer must be C.

Hope this was helpful and accurate! If you have any additional questions, feel free to ask.

Answer:

C. 3, 1/3, .3, 3%

Step-by-step explanation:

3 is a whole number that makes it the greatest

1/3 in a decimal form is 0.33 repeating

.3 is .30 which is smaller than previous.

3% converted in decimal form is 0.03 which is the smallest

Find the 66th term of the arithmetic sequence

-28,-45,-62,...

Please help me thank you!!

Answers

Answer:

-79 is the ansekendndjdisosj

solve for x each triangle is similar

Answers

Step-by-step explanation:

m ( < Q ) = m ( < L )... alternative angles

m ( < R ) = m ( < M )... alternative angles

m ( < RPQ ) = m ( < LPM )... vertically opposite angles ķ

I NEED HELP WITH QUESTIONS 10 - 12

Answers

Step-by-step explanation:

10. [-19-(-20) - (-34)] ÷ (-6)

= (-19+20+34) ÷ (-6)

= 35 ÷ (-6)

= -5.83

12. [-18 - (-66) -22] × 2

= [-18+66-22] × 2

= 26 × 2

= 52

Answer:

10. -35/6

12. 52

Step-by-step explanation:

A notation like - (-6) can be written as +6 ("two times minus is plus").

So your question 10. becomes:

(-19 + 20 + 34) / -6, which is more pleasant to the eye.

Further simplifying gives you 35 / -6 which you should write as -35/6.

The next question, same principle:

(-18 + 66 - 22) * 2 = 26 * 2 = 52

Which idea below is a rebuttal to the counterclaim?

Dogs should not be underestimated, so the clicker method might work.
Dogs have poor hearing, so the clicker method does not always work.
Dogs have amazing hearing, so the clicker method should work.
Dogs have amazing hearing and eating many treats won’t harm them.

Answers

the answer is c

Step-by-step explanation:

i took the test today

You got 250 from your mom and your dad 250 and bide something for 450 and your friend takes 30 and your mom takes 10 and you dad takes 10 and everyone asks for there things back so you give your mom 240 and you dad 240 and your friend give you 30

Answers

Answer:

-450 dollars

[tex]500 - 450 = 50\\50 - 50 = 0\\0 - 480 = -480\\-480 + 30 = -450[/tex]

I hope this helps! Have a great day.

Answer:

-$450

Step-by-step explanation:

yup

1 box = $ 0.054, how many boxes will the guy get if he pay $50?​

Answers

He will get 2,700 boxes

Answer:

He would get 30 boxes I think

Step-by-step explanation: I did the math, I hope its correct

Pls, I need help. I have the screenshot right there.

Answers

To find the area of a parallelogram, you use the same formula as you do for a rectangle! Length x Width
Which makes the equation: 12x12=144
Answer: 144 meters^2
Please give Brainliest!

QUESTION:-
Evaluate:
[tex] \rm{}a. \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} \: \: \: \: \: \: \: \: \: \: \: \: b.6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }[/tex]
Don't spam​

Answers

Answer:

#a

[tex] \implies\displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8}}[/tex]

LCM of 4,6 and 8=2×2×3×2=24

Converting each of them into equivalent like fractions,

[tex] \implies{ \displaystyle \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} }[/tex]

[tex] \implies{ \displaystyle{ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} }}[/tex]

[tex] \implies{ \displaystyle{ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} }}[/tex]

[tex]{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} = \frac{18}{24} + \frac{20}{24} + \frac{21}{24} = \frac{59}{24} = 2\frac{11}{24} }}[/tex]

Shortcut method:-

[tex]\implies{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{3 \times 6 + 5 \times 4 + 7 \times 3}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{18 + 20 + 21}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{59}{24} = 2 \frac{11}{24} }}[/tex]

Remarks:-

Whenever the answer is an improper fractions we should convert the answer into mixed number.Always reduce the answer to the lowest terms.You should try to do mental work and apply the shortcut method.

#b

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

Convert to improper fractions,

[tex]\implies{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} }}[/tex]

LCM of 3,6,9=3×3×2=18

[tex]{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} = \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{144 + 51 + 68}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{233}{18} = 12 \frac{17}{18} }}[/tex]

Alternatively,

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{(6 + 2 + 3) + \frac{1}{3} + \frac{5}{6} + \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{1 \times 6 + 5 \times 3 + 7 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{35}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + 1 \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 + \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 \frac{17}{18} }}[/tex]

#a

[tex] \large \sf \frac{3}{4} + \frac{5}{6} + \frac{7}{8} [/tex]

Write all numerators above the least common denominator 24

[tex] \large \sf \frac{3 \times 6 +5 \times 4 + 7 \times 3 }{24} [/tex]

Multiply the numbers

[tex] \large \sf \frac{18 +20 + 21 }{24} [/tex]

Add the numbers

[tex] \large \sf \frac{59 }{24} [/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

#b

[tex] \large \sf 6\frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} [/tex]

Convert the mixed number to an improper fraction

[tex] \large \sf \frac{19}{3} + \frac{17}{6} + \frac{34}{9} [/tex]

Write all numerators above the least common denominator 18

[tex] \large \sf \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} [/tex]

Multiply the numbers

[tex] \large \sf \frac{114+ 51 + 68}{18} [/tex]

Add the numbers

[tex] \large \sf \frac{233}{18} [/tex]

Multiply (√a -2) (√a+2)

Answers

[tex](\sqrt{a} -2)(\sqrt{a}+2)\\=\sqrt{a}*\sqrt{a} +2\sqrt{a} -2\sqrt{a} -2*2\\=a - 4[/tex]

Hope that helps!

Directions: Read and understand and following situations, then do what is asked.

1. Krista's is score in her Math quiz is 30. Des's score is 20 less than twice Krista's score.
Dodie's score is 4 less than Krista's score.

a. What is score score of Des? _________
b. What is the score of Dodie? _________
c. What is the average score of the three girls? __
d. Who scored the least? _______


2. Vincent's weight is 6 kilograms more than Ezekiel's weight Daniel's is 3 kilograms less than Ezekiel's weight. The average weight of the 3 boys is 63 kilograms.

a. What is the weight of Vincent? ________
b. What is the weight of Ezekiel? ________
c. What is the weight of Daniel? _________
d. What is the total weight of the three boys? ____



Need Answer!! A.S.A.P​

Answers

Formula to find average:

Total value / number of values

____________

1. Krista = 30

a) Des = 2(30) - 20 = 40

b) Dodie = 30 - 4 = 26

c) Average score = 40 + 30 + 26 / 3 = 32

d) Dodie scored the least marks.

_____________

2. Ezekiel = x

Vincent = 6 + x

Daniel = x - 3

Average = 63

63 = x + 6 + x + x - 3/3

63 × 3 = x + 6 + x + x - 3

189 = 3x + 3

189 - 3/3 = x

62 = x

a) Vincent = 6 + x = 68 kg

b) Ezekiel = x = 62 kg

c) Daniel = x - 3 = 59 kg

d) Total weight = 62 + 68 + 59 = 189 kg

_____________

Hope it helps ⚜

Larry wanted to buy a notebook computer. He had $700 to spend. The salesman tried to
sell Larry a computer that cost $850, but Larry said that was too expensive. The
salesperson said he could give Larry 25% off of the price if he used a coupon. Sales ta
is 9%. Could Larry afford the computer? How much would it cost?

Answers

Answer:

yes, $694.88

Step-by-step explanation:

You have to find the cost after applying the coupon and sales tax. First remove 25% from the price by finding 75% of the price. 850*.75=$637.5 after applying the coupon. Then you would have to increase it by 9% to account of sales tax, so multiply by 1.09. 637.5*1.09= $694.88 after sales tax. This means that Larry can very narrowly afford the computer.

WHAT TIME IS A QUARTER TO SIX?

Answers

Answer:

05:45, 15 is a quarter of an hour.

Answer:

5:45 15 minutes is a quarter of an hour

Its an algebra solving distance rate time
A jet travels 4470 miles against a jetstream in 6 hours and 5610 miles with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of the jetstream?

Answers

super easy make sure to put 8 with the 4470 because not only does it help you out but you always aff lip

A line passes through the points (20, 15) and (19, 14) What is its equation in slope-intercept form?

Answers

Answer: y = x - 5

Step-by-step explanation:

Slope intercept form is y = mx + b

to find the slope: y2-y1/x2-x1: 15-14/20-19 = 1/1 = 1

so we can write it as y = x + b, (since the slope is 1).

To find b, plug in either point given to the formula:

15 = 20 + b

b = 15 - 20

b = -5

so the completed equation is y = x - 5

Answer:

y = x-5

Step-by-step explanation:

The form of slope intercept is y=mx+b]

To solve :

First you need to find the slope

To find the slope, you the slope equation, which is y2-y1/x2-x1

Since first you put y2-y1 at the top, it would be 14-15 and then 19-20 at the bottom since x2-x1 is put at the bottom.

Your slope equation should be : m=14-15/19-20, which should give you m=-1/-1 with m being 1.

Then you plug in the value in the slope intercept equation

To help us find the y intercepts, lets choose one our points.  In this case, we will be using (20,15) since it is the first point.

Slope intercept form is y=mx+b.

we do 15= 1 x 20 +b

15=20+b, gives you b=-5

How you got b=-5:

1)Put the equation into this by switching sides :

1 (20)+b=15

2) Get rid of the parenthases :

1 x 20 + b=15

3) multiply :

1 x 20=20, so

20+b=15

4) On both sides, subtract 20

so it would be

20+b-20=15-20, which gives you b=-5

What is the height of a cylinder the volume is 1385.44mi² and the diameter is 14mi?

Answers

Answer:

9 mi

Step-by-step explanation:

V = 1385.44 mi³, radius r = 14/2 = 7 mi, find h

Use V = πr²h

1385.44 = 3.14 * 7² * h = 153.86 h

so

h = 1385.44/153.86 = 9 mi

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