Abby has just started training for a marathon. She ran 15 miles in total during her first week of training. She wants to add an additional 2 miles to her weekly total during each subsequent week. Write an explicit rule for the arithmetic sequence that represents this situation, and use it to find how many miles Abby will run during her twelfth week of training. please show how you got your answer!!

Answers

Answer 1

Answer:

204 miles i think

Step-by-step explanation:


Related Questions

what is 5 times 10 to the sixth power times 5 times 10 to the seventh power in scientific notation

Answers

Answer:

The Answer for this question in scientific notation is:

2.5e+14

Answer:

5 · [tex]10^{13}[/tex]

Step-by-step explanation:

hope this helps

0.3x-2.4=1.25x
How to solve

Answers

Answer:

hi

Step-by-step explanation:

0

.

3

2

.

4

=

1

.

2

5

0.3x-2.4=1.25x

0.3x−2.4=1.25x

3

1

0

2

.

4

=

1

.

2

5

Answer:

x = -2.52631578

Step-by-step explanation:

Combine multiplied terms into a single fraction.

0.3x - 2.4 = 12.5x

3x/10 - 2.4= 1.25x

Again, combine multiplied terms into a single fraction.

3x/10 - 2.4= 1.25x

3x/10 - 2.4 = 5x/4

Add 2.4  to both sides of the equation

3x/10 - 2.4 = 5x/4

3x/10 - 2.4 + 2.4 = 5x/4 + 2.4

Simplify (Add the numbers)

3x/10 = 5x/4  + 2.4

Multiply all terms by the same value to eliminate fraction denominators.

3x/10 = 5x/4  + 2.4

2  x 2 x 5 x 3x/10 = 2 x 2 x 5(5x/4 +2.4)

Therefor, x = 2.52631578

Hope this helps, have a great day! :)

can someone help me please

Answers

Answer:

6 (x)

Step-by-step explanation:

Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34." a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of. b. Diego then says, "If we take half of the first number and double the second, the sum is 14." Write an equation that could represent this description. c. What is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.

Answers

Answer:

x = 8

y = 5

Step-by-step explanation:

Let

x and y = the two positive numbers

a. 3x + 2y = 34 (1)

b. 1/2x + 2y = 14 (2)

Solve the simultaneous equation

3x + 2y = 34 (1)

1/2x + 2y = 14 (2)

Subtract (2) from (1)

3x - 1/2x = 34 - 14

6x-x/2 = 20

5/2x = 20

x = 20 ÷ 5/2

= 20 × 2/5

= 40/5

= 8

x = 8

Substitute x = 8 into (1)

3x + 2y = 34 (1)

3(8) + 2y = 34

24 + 2y = 34

2y = 34 - 24

2y = 10

y = 10 / 2

= 5

y = 5

Diego's two numbers are 8 and 5 respectively

Translate the sentence six less than the product of four and a number is -2 into an equation

Answers

Answer:

4x-6=-2

Step-by-step explanation:

This is the mathematical form of the equation.

Julio ​says, "If you subtract 13 from my number and multiply the difference by -3​, the result is -54 ​." What is Julios​'s ​number?

Answers

Answer:Julios​'s ​number is 31

suppose: Julios​'s ​number is x

because Julio ​says, "If you subtract 13 from my number and multiply the difference by -3​, the result is -54 ​"

=> we have: (x - 13).(-3) = -54

                 <=>  x  - 13 = (-54):(-3) = 18

                   <=> x = 18 + 13 = 31

                   <=> x = 31

Step-by-step explanation:

The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours

Answers

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

[tex]27=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{27}{5}=k[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].

A newspaper is rolled into a cylindrical shape of approximate diameter 4cm It is wrapped for posting with a strip of paper which goes about 2 1/2 times round the newspaper Use the value 3 for π to find the approximate length of the wrapping paper. And 2. Calculate the total surface area of a solid cone of slant hight 10cm and base diameter 10 cm.Use the value 3.14 for π

Answers

Answer:

30 cm

[tex]863.5\ \text{cm}^2[/tex]

Step-by-step explanation:

d = Diameter of cylinder = 4 cm

n = Number of times the strip of paper is turned = [tex]2\dfrac{1}{2}=2.5[/tex]

Diameter of the cylinder will be approximately equal to the diameter of the paper wound. Length of one turn will be circumference of the paper

Circumference of the paper

[tex]c=\pi d\\\Rightarrow c=3\times 4\\\Rightarrow c=12\ \text{cm}[/tex]

Total length of the paper will be the number of turns multiplied by the length of one turn

[tex]l=nc\\\Rightarrow l=2.5\times 12\\\Rightarrow l=30\ \text{cm}[/tex]

Length of the strip of paper is 30 cm.

2.

l = Slant height = 10 cm

d = Base diameter = 10 cm

r = Radius of base = [tex]r=\dfrac{d}{2}=\dfrac{10}{2}=5\ \text{cm}[/tex]

Total surface area of cone is given by

[tex]S=\pi r^2+\pi rl\\\Rightarrow S=\pi r(r+rl)\\\Rightarrow S=3.14\times 5(5+5\times10)\\\Rightarrow S=863.5\ \text{cm}^2[/tex]

The total surface area of cone is [tex]863.5\ \text{cm}^2[/tex].

300% of 82 is what number?

Answers

Answer:246

Step-by-step explanation:

Which expression is equivalent to 735 ÷ 100?

7.35 ÷ 1000
735 x 0.01
735 x 0.001
73.5 ÷ 100

Answers

Answer:

735x0.01

Step-by-step explanation:

What is the minimum value for the function shown in the graph?


(pls help asap thank you :^)

Answers

The minimum value for the function is -6

GYM MEMBERSHIP The cost of a gym membership is $75 plus $30 per month. The equation that represents this equation is y=30 x+75, where x is the number of months and y is the cost. Find and interpret f(12).

Answers

Answer:

x = no.of months

y = cost

f(12) = 30x+75

f(12) = 30(12)+75

f(12) = 360+75

f(12) = 435

Therefore it cost him $435 in 12 months.

It will cost him $435 in 12 months or the value of f(12) is $435.

It is given that cost of gym membership is $75 plus $30 per month and the equation representing it is y = 30x + 75.

We have to find the value of f(12) or cost of gym after 12 months.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

The cost of gym membership is $75 plus $30 per month.

and

The given equation is ;

y = 30 x + 75

where ;

x = no. of months

and

y = cost

So , we can find out the value of f(12) as ; y = f(x) = f(12)

f(12) = 30x + 75

⇒ f(12) =( 30 × 12 ) + 75

⇒ f(12) = 360 + 75

f(12) = 435

Thus , it will cost him $435 in 12 months or the value of f(12) is $435.

To learn more about functions click here ;

https://brainly.com/question/23104523

#SPJ2

If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.​

Answers

Answer:

22.80

Step-by-step explanation:

100% - 30% = 70% that you'll be paying

70% = [tex]\frac{70}{100}[/tex]  = 0.7

0.7 * 32.50 = 22.75

Round to nearest cent: 22.8

y=2x+10 in standard form

Answers

Answer:

2x-y=-10

Step-by-step explanation:

I'm assuming by standard form you mean

Ax+By=C

Ax⇒2x

By⇒-y

C=-10

2x-y=-10

Can someone please explain how to find the answer? My old teacher didn’t do it this way and I’m lost :/

Answers

Answer:

the triangle means "change in". so triangle x means the change in the x values and triangle y means change in y values so yeah mental calculate the difference

Help me this is so hard I’ll give u brainlist

Answers

With what question may I ask cause they all have a circle on one

Answer:

I'm sorry, I speak Spanish, forgive me

molly bought a lunch special that was originally $14 today it is on sale for 20% off what is the sale price of the lunch special

Answers

$14*.20= $2.80

The sale price is $2.80
14 * .20 = 2.80
14 - 2.80 = 11.20
The sale price is $11.20

If Blake wanted to use the Substitution method to solve the following system of equations, what could be a good first
step?
31 + 4y=17
2 + 6y=24
A Cancel out the "x" terms
B Multiply the second equation by (-3)
Add 3 to the second equation
Solve the second equation for x​

Answers

Answer:

solve the second equation for x

There are some nickles,dimes and quarters in a large piggy bank.For every 2 nickles there are 3 dimes.For every 2 dimes there are 5 quarters.There are 500 coins total.How many Nickles,Dimes and Quarters are in the piggy bank?

Answers

Answer:

I have no clue

Step-by-step explanation:

A local specialty store sells two brands of yogurt. Brand A is a fruit yogurt that comes in a 12-ounce container for $2.88. Brand B is a fruit yogurt that comes in a 16-ounce container for $4.48. Which one is a better buy: Brand A or Brand B?

Answers

Answer:

0.04

Step-by-step explanation:

Brand A:

so x is equal to 0.24

Brand B:

so x is equal to 0.28

Now the difference of cost would be Brand B - Brand A which would give you 0.04.

0.2(10-5c)=5c-16
solve the iniquality

Answers

i’m pretty sure it’s c = 3? i think
Multiply both sides by 10
2(10 - 5c) = 50c -160
Distributive property
20 - 10c = 50c - 160
Add 160 to both sides
180 - 10c = 50c
Add 10c to both sides
180 = 60c
Divide by 60c
c = 3

6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?

Answers

Answer:

-8

Step-by-step explanation:

12<-3 (x + 4)

1. distribute to the -3 to the x and 4 and should get

-3*x = -3x

-3*4 = -12

12< -3x - 12

2. now you get rid of the common factors which is -12 so add 12 to both sides and should get

-12+12=0

12+12=24

24< -3x

3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get

-3x/-3= x

24/-3= -8

-8<x

Completely factor f(x)=2x^4+11x^3+2x^2-15x given that f(-3/2)=0

Due today please help

Answers

Answer:

There isn't a picture

Step-by-step explanation:

Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert

Answers

Answer:

No

Step-by-step explanation:

Given that:

Plastic sleeves needed = 250

Number of baseball cards = 3084

Sleeves held per card = 12

To determine the number of sleeves needed ;

Number of baseball cards / number of sleeves per card

= 3084 / 12

= 257

No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257

Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack

Answers

Answer:

Step-by-step explanation:

I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!

If it’s not the answer your looking for you can take it off...

But...

Hope it helps

2. Which system of inequalities are represented by the graph below:
a) y 2x + 4
y<-x + 4
b) y> 2x + 4
y <-X + 4
c) Y S-2x + 4
y>X-2
d) y 2x + 4
YS-X+4
tem of equations have?

Answers

Answer:

12

Step-by-step explanation:

Use the slope-intercept form y=mx+b to find the slope m and y-intercept b

.

Slope: 12

y-intercept: (0,−2)

10. Write an equation that represents the situation below. Then give a different combinations of coins that are possible, a piggy bank contains only dimes and quarters. The total amount inside the bank is $6.25.​

Answers

Equation: 0.10d + 0.25q = 6.25
There can be 60 dimes and 1 quarter
There can also be 20 dimes and 17 quarters
A lot of combinations

Does anybody know what 4/5 ( + 1) is in standard form.

Answers

Answer:

1 4/5

Step-by-step explanation:

4/5 + 1 = 1 4/5

I hope this helped, please mark Brainliest, thank you so much!!

Tracy spends $97 on her cell phone bill this month. Her bill is usually around the same amount each month. If she wants to include an estimate of her cell phone bill in her monthly budget, what amount should she use? Round to the nearest ten.

Answers

Answer:

$100

Step-by-step explanation:

97 is rounded to 100 because the last digit is more that 5.

I hope this helped, please mark Brainliest, thank you!

David uses 1/2 cups of apple juice for every 1/8 cup of carrot juice to make a fruit drink. Write the number of cups of apple juice David uses for 1 cup of carrot juice.

Answers

Answer:

4 cups of apple juice for 1 cup of carrot juice

Step-by-step explanation:

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