Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?

Answers

Answer 1

Answer:

81 stamps

Step-by-step explanation:

Here we will use the AP formula

We know that

a_n = a + (n - 1)d

a = first term = 5

n = number of terms = 20

d = common difference = 9 - 5 = 4

On putting values

=> a_20 = 5 + (20 - 1)4

=> a_20 = 5 + (19)4

=> a_20 = 5 + 76

=> a_20 = 81

Therefore,

She will have 81 stamps after 20 days

Answer 2

[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]

Here we have,

first term (a) = 5

no. of terms (n) = 20

common difference (d) = 9 - 5 = 4

[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]

Hence, there will be 81 stamps after 20 days.

Related Questions

i need help how do you do this

Answers

Answer:

very easy just follow instruction

find the value of a + 1a​

Answers

Answer:

2a

Step-by-step explanation:

a+1a is the same as a+a=2a

A 20 foot ladder is set against the side of a house so that it reaches up 16 feet. If Christian grabs the ladder at its base and pulls it 2 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 14 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

14.2

Step-by-step explanation:

The ladder forms a right angles triangle,

We have,

h=20

p=16

b=x

Using pythogorean theorem,

b=√(20^2-16^2)

√144

b=12

Now,

Since, she pulls it 2 cm,

b=x+2

b=14

p=?

Using pythogorean theorem,

p=√(20^2-14^2)

√204

p=14.2828568571

Rounding  to the nearest tenth,

p=14.2

The side of the ladder will reach up is 14.3 feet.

What is trigonometric Ratios?

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Hypotenuse, h = 20 feet

Perpendicular, p = 16 feet

Base = b

By Pythagoras theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]

⇒[tex]b^{2} = 400-256[/tex]

⇒[tex]b^{2}=144[/tex]

⇒[tex]b=\sqrt{144}[/tex]

⇒[tex]b=12[/tex]

The ladder at the house is pulled 2 feet farther.

So, base = [tex]12+2[/tex]

⇒[tex]b=14[/tex]

Now, the side of the ladder will reach up

[tex]p^{2} = h^{2}-b^{2} \\[/tex]

⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]

⇒[tex]p^{2}=400-196[/tex]

⇒[tex]p^{2}=204[/tex]

⇒[tex]p=\sqrt{204}[/tex]

⇒[tex]p=14.28[/tex]

⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)

Hence we can conclude that the side of the ladder will reach up is      14.3 feet.

Learn more about trigonometric ratios here

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compro una bicicleta y pago en tres cuotas. En el primer tramo pago 3/10 del total, en el segundo pago 4/5 del resto, y en el tercero solo tengo que pagar 21 $. ¿Cuánto cuesta la bicicleta?

Answers

I think the answer would be a

$40 jacket is 25% off how much will u save

Answers

Answer:

10 dollars

Step-by-step explanation:

Does the graph represent a function? Why or why not? ​

Answers

Answer:

This graph does represent a function because when you do the vertical line test, none of the x-values intercept more than once.

Step-by-step explanation:

Hope this helps!

1 book/5 days is it a unit rate

Answers

Answer: No, it is not a unit rate

Explanation:

A unit rate is when the time value in the denominator is 1. So it would need to be "1 day" instead of "5 days" for it to be a unit rate. The term "unit" means "one".

To convert to a unit rate, we simply compute 1/5 = 0.20 to see that the unit rate is 0.20 books per day. This is the same as saying "0.20 books every 1 day", but I think the phrasing "books per day" is more common.

A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $17.75, and tickets cost $20.50 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

Inequality: 20.50x + $17.75 ≤ $110

Solve: 4 people can go to the amusement park

Explaination:

Inequality:

$110 = Amount of money they have

$17.75 = Parking Cost

$20.50 = Cost of tickets per person

Because they only have $110, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

20.50x + $17.75 ≤ $110

Solve:

$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)

$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)

$92.25 - $82 = $10.25 (10.25 isn't enough for another person)

So, the solution to the inequality is 4 people can go to the amusement park.

An office space in a city measures 38.4 feet by 43 feet and costs $22.50 per square foot. What is the selling price for the office space?

Answers

$37,152
38.4 x 43 x $22.50= $37,152

IN THE FIGURE BC IS PARALLEL TO AD. AREA OF TRIANGLE ABC IS 100 cm². WHAT IS THE AREA OF TRIANGLE BCD



Answers

Answer:

150 cm2

Step-by-step explanation:

double of triangle abc is 200

this is in middle of both

Write a function rule in terms of x and y for the line that contains the points (-7.4, -9.7) and ( 8.4, 6.1) .

Answers

Answer:

y = x + -2.3

x = -y - 2.3 (but why would one need this?...)

Step-by-step explanation:

(6.1 - (-9.7))/(8.4 - (-7.4)) = 15.8/15.8 = 1

6.1 = 8.4 + b

b = -2.3

+5 when
2. What is the value of f(x)=2x +
X=4?
A А.
2
el ind
B 7
C 9
D 13

Answers

Answer:

B. 7

Step-by-step explanation:

[tex] \frac{1}{2} \times 4 + 5 = 7 \\ sub \: in \: 4 \: into \: the \: equation[/tex]

solve by substitution.
5x-3y=-4
x+y=-4

Answers

Answer:

x=-2,y=-2

Step-by-step explanation:

x+y=-4

x=-4-y--(3)

substitute (3) in (1)

5(-4-y) -3y=-4

-20-5y-3y=-4

-8y=16

y=16/-8

y=-2

substitute y in (3)

x=-4-(-2)

x=-2

Mr. Robins earns a commision on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr.Robins commision rate

Answers

Commission rate = (commission earned / amount sold/booked) * 100%

($31.29 / $208.60) * 100% = 15%

the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width​

Answers

-7 or 8 is the answer

Find the area of the following kite:

Answers

Answer:

[tex]48 cm^2[/tex]

Step-by-step explanation:

Each of the small triangles are right, so we can add up all the small triangle's areas to find the total area.

The 4-by-10 triangle: The area is [tex]4*10/2=40/2=20[/tex].

The other 4-by-10 triangle has the same side lengths and hence the same area, so the area is [tex]20[/tex].

The 4-by-4 triangle: The area is [tex]4*4/2=8/2=4[/tex].

The other 4-by-4 triangle has the same area, [tex]4[/tex].

The total area is [tex]20+20+4+4=\boxed{48} cm^2[/tex].

you have 120 cows and 90% of them are female how many female cows do you have​

Answers

Answer: 108

Step-by-step explanation:

If 90% are female, that means that female = 90% of 120, or 90/100 x 120

90/100 x 120 = 108, meaning that there are 108 female cows.

ill give brainliest whoever does it right pls fast

Answers

Answer:

1.Train b travels 125 miles in four hours.

2. Train A's speed is 50 mph and train b's speed is 31.25 mph

srry about the last one but i don't know what the answer is since i don't know the choices for it

QUICK QUESTION: did I do this right?

Answers

Answer:

Yup looks correct

Step-by-step explanation:

Lol I verified using the calculator :)

PLEASE HELP SUPER FAST

Answers

Answer:

c

Step-by-step explanation:

Hi there!

C I believe

Solve for y.
7v + 25 = 5(v + 7)
Simplify your answer as much as possible.

Answers

Answer:

v = 5

Step-by-step explanation:

Distribute on the left:

5 ( v + 7 )

( 5 x v ) + ( 5 x 7 )

5v + 35

7v + 25 = 5v + 35

Subtract 5v from each side:

2v + 25 = 35

subtract 25 from each side:

2v = 10

Divide each side by 2:

v = 5

There are 109 nanoseconds in 1 second.
Find the number of nanoseconds in 5 minutes, giving your answer in standard form.

Answers

it will be 2,725 nanoseconds

2 1/16 as a improper fraction

Answers

Answer:

13/6

Step-by-step explanation:

Answer: 33/16

Step-by-step explanation:  2*16 = 32...      32+1= 33

Subtract.
-3-6-(-1)
Plot the solution on the number line.

Answers

Answer:

-8

Step-by-step explanation:

Start by putting a dot on the number line at -3.  As we are to subtract 6, start at -3 and move 6 units to the left, arriving at -9.  Finally, recognizing that -(-1) = +1, move 1 unit to the right from -9, ending up at -8.

what is 5 pounds to 35 pounds division

Answers

Answer: it would be 7

Step-by-step explanation:

Because 35 divided by 5 is 7

help please i dont know how to do this

Answers

so i’m not 100% sure but o think the anwser is 67. Basically i just saw that 49 degrees was the same in both so i figured so would 69. Now triangles equal up to 180, so i added 49 and 69 and the end result was 113. after i subtracted 113 from 180 and got 67! however i’m not sure if this is 100% correct but hope this helps!!!

What percentage of the Cub Scouts are at least as old as a Bear Scout?

Tigers (6 years old): 19%

• Wolves (7 years old): 36%

Bears (8 years old): 17%

Webelos (9 years old): 28%

.

Answers

The percentage of the cub scout which are atleast as old as the near scout refers to percentage of the cub scout which are atleast 8 years old. Hence, the percentage is 28%

The age of Bear scout = 8 years old

Cub scouts which are atleast 8 years old :

Webelos = 9 years old

Percentage of Webelos = 28%

Hence, the percentage of cub scout which are atleast 8 years old is 28%

Therefore, the percentage of the cub scout that are atleast as old as the Bear scout is 28%

Learn more : https://brainly.com/question/25084575

Help me answer please?​

Answers

Answer:

For #1 add up all males and females and then create a chart of how many bars males and females ate

solve the inequality. 1/3b + 1 < -6​

Answers

Answer:

b<-21

Step-by-step explanation:

1/3b+1<-6

1/3b<-7

*3     *3

b<-21

Answer:

b <  - 21

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] b + 1 < - 6 ( subtract 1 from both sides )

[tex]\frac{1}{3}[/tex] b < - 7 ( multiply both sides by 3 to clear the fraction )

b < - 21

What is the distance between 5,-6 and 5,6

Answers

Answer: 12

Step-by-step explanation:

I will assume those are coordinates.

The distance between 2 points is given by  √ (x2 − x1)^2 + (y2 − y1)^2.

Replacing the values, we get  √ (5 − 5)^2 + (6 − -6)^2 =  √0+144 = 12

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