the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?

Answers

Answer 1

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90


Related Questions

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x)=(4x3−13x+11)3?

Answers

Answer:

9.

Step-by-step explanation:

The highest power is 3*3 = 9, so it's 9.

A teacher needs 35 model rockets for his students. Model rockets are sold in boxes of 3, boxes of 5, and boxes of 7. Which boxes could the teacher buy so he has no leftover rockets?​

Answers

Boxes of 5 or boxes of 7 because 5x7=35 and 7x5=35

7. Write an inequality that matches the graph shown.

Answers

Step-by-step explanation:

first, we define the line.

the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).

the y-intercept is 2.

so, the line is

y = -3x + 2

now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.

the line is not included.

therefore the inequality is

y < -3x + 2 or 3x + y < 2

Penny has some money. After
she pays $5 for her new kitten,
she will have $27. How much
money does she have now?

Answers

Answer:

32 dollars

Step-by-step explanation:

Her total os unknown. ? - 5 = 27. 27 + 5 = 32. 32 = ?

Yara is trying to find the best price for 8 notebooks.

If 2 notebooks cost $14.00 at Barnyard Books, and 5 notebooks cost $20.00 at The Bookworm, how many dollars will Yara save if she buys 8 notebooks from The Bookworm instead of Barnyard Books?

Answers

Answer:

Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books.

Step-by-step explanation:

if 2 notebooks = $14.00, then, 14 ÷ 2 = $7.00

Therefore, 1 notebook at Barnyard book is $7.00

She bought 8, so 8×7 = $ 56.00

> She will spend $56.00 at Barnyard book

while at bookworm, 5 notebooks cost $20.00

> 20 ÷ 5 = $4.00

Therefore, 1 notebook at bookworm cost $4.00

She bought 8, so 8×4 = $32.00

> She will spend $32.00

Subtract the total amount that she'll spend on both stores

$ 56.00 - $ 32.00 = $ 24.00

Therefore, Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books

blank as 9 hundred is 9 thousand​

Answers

Answer:

x = 10

Step-by-step explanation:

x × 900 = 9000

=> 900x = 9000

=> x = 10

Natalina packs 25 boxes in a 2 hour shift. How many boxes can be packed in a 7.5 hour shift?

Answers

Answer:

93.75 boxes

25/2 = 12.5 per hour

12.5*7.5 = 93.75

Evaluate the function.
f(x) = 2x2 – 15
Find f(-2)

Answers

Answer:

[tex]f(-2)=-17[/tex]

Step-by-step explanation:

[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]

f(x) = 2x² - 15

f(-2) = ?

Substitute -2 in the place of x.

f(x) = 2x² - 15

f(-2) = 2(-2)² - 15

f(-2) = 8 - 15

f(-2) = -7

______

Hope it helps :)) ⚜

a What is the slope of a line that passes through the points (1, 2) & (4, 12​

Answers

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

Hope this Helps

In a scale model of a boat 1 inch represents 8 feet

Answers

Answer:That is amazing.

Step-by-step explanation:

tha t is just wonderful news, now what was the question?

You’re writing a novel.If you write 5 pages every 2 days,how long will it take you to write a 250 page novel?

Answers

Answer:

100 days

Step-by-step explanation:

You know that you write at a speed of 5 pages every 2 days. In order to write a 250 page novel, you're going to have to to write 250/5 = 50 *2 = 100 days.

100 days
Because 5x50 is 250 which is the amount of pagesand 2x50 is 100 which is the amount of days

In one week, a bakery made 1,424 trays of 25 chocolate chip cookies. The bakery also baked 628
trays of 19 sugar cookies. How many cookies did the bakery bake during the week? ")

Answers

Answer:
The bakery baked 11,932 sugar cookies.
Explanation:
628 trays x 19 cookies = 11,932 cookies

They also baked 35,600 chocolate chip cookies. The total of BOTH cookies baked is 47,532. Hope this helped! ^^

Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy

Answers

Answer:

4.25+9.75+0.5x≤18

Step-by-step explanation:

4.25+9.75+0.5x≤18

14+0.5x≤18

0.5x≤4

x≤8

She can buy at most 8 packs of crackers.

Hope this helps :)

Fiona can buy maximum 8 number of packages of crackers.

What is subtraction?

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Given that Fiona has $18 to spend and she spent $4.25 .

Now, she has the money $18 - $4.25 = $ 13.75

And she needs to save $9.75 from rest of the amount.

Therefore, $13.75 - $ 9.75 = $4

Now she has $4 to spend and one packet of crackers cost $0.50.

So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.

Therefore, Fiona can buy maximum 8 number of packages of crackers.

To learn more about the subtraction;

https://brainly.com/question/2346316

#SPJ5

The graph of a function f is shown below.
Find f (2)

Answers

Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

======

[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.

Answers

Step-by-step explanation:

(a○b)(x) is the same as a(b(x)).

it is really that simple.

first you calculate the result of the inner function, and then that result is the input for the outer function.

that's it.

so,

(w○u)(2) = w(u(2))

u(2) = -2 -1 = -3

w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19

so, 19 is the first answer.

(u○w)(2) = u(w(2))

w(2) = 2×2² + 1 = 2×4 + 1 = 9

u(9) = -9 - 1 = -10

so, -10 is the second answer.

I need help a I don't know what to do

Answers

Answer:

Look at my solution

Can somebody help me i've been stuck on this for awhile its because i dont get it

Answers

Answer:

15 students aren't wearing blue or white

Step-by-step explanation:

1/10 of 30 = 3

2/5 of 30 = 12

3 + 12 = 15

30 - 15 = 15

15 students aren’t wearing blue or white
Explanation:
1/10 of 30 is 3
2/5 of 30 is 12
3+12=15
30-15=15

The lines represented by the equations y + 3/2x = -6 and 3y – 2x = -24 are
parallel
neither parallel nor perpendicular
perpendicular
the same line

Answers

Answer:

Neither Parallel nor Perpendicular

Step-by-step explanation:

Convert 3y - 2x = -24 to slope - intercept form

3y - 2x = -24

3y = -24 + 2x

3y = 2x - 24

y = 2/3x - 8

They are neither parallel or perpendicular

Parallel lines have the same slope, but these are different

Perpendicular lines have the opposite inverse (negative reciprocal) slope, but these are just reciprocals

-Chetan K

The smallest non-zero real number by which √27 should be multiplied so as to get a rational number is:
[tex]a) \: \sqrt{3} \\ b) \: \frac{1}{ \sqrt{3} } \\ c) \sqrt{13} \\ d) \sqrt{27} [/tex]
I doubt between a) and b).
Please solve this and give me the accurate answer. Step-by-step solution needed. Spam free answer required.
Thank you in advance.​

Answers

Answer:

[tex]b)1/\sqrt{3}[/tex]

Step-by-step explanation:

Lets verify one-by-one:

a)

[tex]\sqrt{3} *\sqrt{27} =\sqrt{3*27} =\sqrt{81} = 9[/tex]

b)

[tex]1/\sqrt{3}*\sqrt{27} =\sqrt{1/3*27} =\sqrt{9} =3[/tex]

c)

[tex]\sqrt{13} *\sqrt{27} =\sqrt{13*27} =\sqrt{39*9} =3\sqrt{39}[/tex]

d)

[tex]\sqrt{27} *\sqrt{27} =(\sqrt{27})^2=27[/tex]

As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.

what is the decimal equivalent of the -68/255

Answers

The answer is -0.266666667.
Round how you need

the problem solving plan indentify step to organize your information which of the following answers choices are included in the steps to organize your information?


A) organize the problem and find the question

B) solve the problem and change your strategy if necessary

C) write the facts, organize your thoughts and define your strategy

D) organize the step and underline the question​

Answers

that's the answer Just look at the picture's

Find the length of the diagonal in rectangle using image 3353

Answers

Answer:

65

Step-by-step explanation:

c=a2+b2=332+562=65

Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?

b) Find the fraction of the watermelon that remains.

Answers

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

Use point-slope form to write the equation of a line that passes through the point
(19,20) with slope 2/5

Answers

Answer:

y=2/5x+62/5

Step-by-step explanation:

17 rounded to the nearest 10th of a degree

Answers

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

20 because if your rounding to the nearest 10 the range you have is 10-20 because 17 is in between 10 and 20, then you can count or just tell which one 17 is closer to: 17-10=7 so 17 is 7 away from ten, then 20-17=3 so 17 is three away from 20. so now you choose the answer that is closer to the number:)

hope this helps!!

y = -1/3x + 3
2x - 3y = -18
pls explain and tell the answer :(

Answers

Answer:

-18=2x-3(-1/3x+3)

-18=2x+x-9

-18=3x-9

-18+9=3x

3x=-9

x=-9

y=-3(-1/3)+3

y=1+3

y=4

Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.

Answers

Answer:

Exponential Growth

Step-by-step explanation:

2. DB
The price of a shirt is $18.50, but you have a coupon that lowers
the price by 20%. What is the price of the shirt after using the
coupon?

Answers

Answer:

$14.80

Step-by-step explanation:

You just have to 0.8 * 18.50 becuase the new price is 80% of the old price. That would result in 14.80.

Answer: 14.8 dollars


Explanation: 18.50 x 0.80 = 14.8



20% off is 0.80

And 30% off is 0.70 and so on

Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.

What are the dimensions of the garden that Ricky Bobby made?

How much area was there inside the garden?

If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?


Helpp I don’t get this

Answers

Answer:

5.6 by 19.4

108.64 ft²

21 pumpkins

Step-by-step explanation:

Set length of shorter side as x. Then, the longer side is 4x - 3

He used 50 feet of board, which means, using the formula for perimeter:

x + 4x - 3 + x + 4x - 3 = 50

Simplify and solve.

10x - 6 = 50

10x = 56

x = 5.6

Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4

This means the dimensions of the garden are: 5.6 by 19.4

Area = length times width, so the area is 108.64 ft²

The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728

Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.

Which equations are true equations?

Select all correct answers.


62−22=4+7⋅22

54 ÷ 6 + 3² = 4 + 4²

8042=10−22−1

19−2⋅5=9⋅73−9

Answers

We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

If you want to learn more, you can read:

https://brainly.com/question/21834784

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