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

Over time, the value of a car decreases. If the value of a car purchased for Php
1,250,000 decreases to Php 1,000,000 throughout a year, what is the rate of change?

Answers

Answer:

-20%

Step-by-step explanation:

Current value of an item and divide it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

ROC = (current value/previous value​ − 1) x 100

ROC = (1,000,000/1,250,000 - 1) x 100

ROC = (0.8 - 1) x 100

ROC = -0.2 x 100

ROC = -20

What is f(-1)?

PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3

BRAINLIEST
please help me ty
You can just do two questions or even just one but I would appreciate all

Answers

Answer:

Some answers for #4 I think!

a = 36

b = 90

c = 36

d = 90

e = 54

Sorry if they are wrong I tried my bestest!

Find the domain of the function.

Answers

Answer:

  all real numbers except x=8

Step-by-step explanation:

There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.

  The domain is all real numbers except x=8.

  In interval notation: (-∞, 8) U (8, ∞)

A fruit market must spend less than $225 for an order of apples and oranges. A pound of apples costs $0.50 and a pound of oranges costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of apples than oranges. Which choice is a reasonable solution?

Answers

Answer:

Oranges :100 pound

Apples : 250 pound

Step-by-step explanation:

A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?

=========

0.5p + 0.75m <= 225

p = m + 50

-------------------

Substitute for "p" and solve for "m"::

0.5(m+50) + 0.75m <= 255

0.5m + 25 + 0.75m <= 255

2.25m <= 325

---

m <= 144.44

--------------------

# of oranges : 100 pound

# of pound of apples: m+50 = 250 pound

Hope you understand :)

Pls mark me as brainiest

Answer:

Answer choice C should be more Resonable.

Step-by-step explanation: It is very obvious

because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.  

2x+4 over 3 - 5x-7 over 2 = 5 solve the equation

Answers

Answer:

x = -1/11.

Step-by-step explanation:

I am interpreting this as:

(2x+4)/ 3 - (5x-7)/2 = 5

Multiply through by the LCM of 2 and 3 ( that is 6):

2(2x + 4) - 3(5x - 7) = 30

4x - 15x + 8 +21 = 30

-11x = 30 - 21 - 8

-11x = 1

x = -1/11.

Which of the following best describes the solution to the equation below? 8x + 4 = 8x + 4

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

8x + 4 = 8x + 4

Since the expressions on both sides are the same then any value of x will make the equation true.

That is the equation has an infinite number of solutions

Please answer all of the above thanks ur the best!:)
and please explain how u got the answer on each question! thanks
1. 2 1/3 + 1 3/4

Answers

Answer:

4.0833333

Step-by-step explanation:

PLZ give brainliest thanks

auestion is in the picture, 10 points!

Answers

Answer:

  y = K/(16z)

Step-by-step explanation:

  [tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]

3/8 rounded to the nearest thousand​

Answers

19/50

llllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Please help ‐19 ‐ 7( ‐17z + 13)

Answers

Answer:  119z −  110

Step-by-step explanation:

Answer:

-110+119z

Step by step explanation:

-19-7(-17z+13)

-19+119z-91

-110+119z

8.If one sheet of paper is 2/5 cm thick, how thick is a packet containing 180 sheets of paper ?

Answers

Sheet=2/5cm
180/5=36
36*2=72cm
Packet is 72cm thick (0.72m)

URGENT PLEASE DO!! will give brainliest to first person to answer

Answers

29293

Step-by-step explanation:

yes yes !!

Enter the percent as a fraction. Then enter the fraction in simplest form.

Answers

Answer:

1/25

Step-by-step explanation:

Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25

there are 86,400 frames of animation in 1 hour of anime. how many frames are there per second? there are 3600 seconds in an hour

Answers

Answer:

Step-by-step explanation:

86400/3600=24 fps

Answer:

There are 24 frames per second.

Step-by-step explanation:

Hi there!

We're given:

1 hour ⇒ 86,400 frames

1 hour ⇒ 3600 seconds

To find the number of frames per second, divide 86,400 by 3600 seconds:

86,400 ÷ 3600 = 24

I hope this helps!

A certificate of deposit with principal $150 earns 4% annual interest for 2 years. Select all the options that would earn the same amount of interest.
$300 at 2% for 2 years

$150 at 6% for 18 months

$400 at 3% for 1 year

$100 at 1% for 8 years

$50 at 48% for 6 months​

Answers

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.

As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
1. $300 at 2% for 2 years

Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12

Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12

Thus, Options A, C, and E are correct.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ2

What equation represents this sentence?

0.8 increased by a number is 4.5.


4.5 + n = 0.8

0.8n = 4.5

0.8 + n = 4.5

4.5n = 0.8

hurry ill give brainliest

Answers

Answer:

It is 0.8 + n = 4.5 that is the right answer

Answer: 0.8 plus n equals 4.5

Step-by-step explanation:

please help I’ve been stuck on this for an hour

Answers

Answer:

-3/5

Step-by-step explanation:

what is 3(a+b)-2(a-b)​

Answers

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

Use the properties of multiplication to solve.

(4 x 13) x 25

Answers

1300 because you times 4 by 13 to get 52 and times that by 25
1300 bc I times then add

Find two numbers whose difference is 16 and whose product is a minimum. (Enter your answers as a comma-separated list.)

Answers

Answer:

8, -8

Step-by-step explanation:

  Let's say that x is the larger number,

x - y = 16

y = x - 16

xy = P  where P is a minimum  

x(x-16) = P.  

(We can find the vertex, which is the minimum, by writing it in vertex format)  

  Completing square:  

x2 - 16x = P  

x2 - 16x + 64 = P + 64  

(x - 8)2 = P + 64.

 So,

x = 8 and -8

(8 - -8 -> 8 + 8 = 16)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?

Answers

Answer:

at least 164

Step-by-step explanation:

Let the third score = x.

(138 + 208 + x)/3 ≥ 170

x + 346 ≥ 510

x ≥ 164

Answer: at least 164

The circumference of the planet Jupiter is approximately 2.7 x 109 miles, while the circumference of the Moon is 6.75 x 10° miles. How many times longer is the circumference of Jupiter than the circumference of the Moon? ​

Answers

Answer:

1738 kilometers

Step-by-step explanation:

What is the value of the discriminant, b2
about the number of real solutions the equation has?
4ac, for the quadratic equation 0 x^2 - 4x + 5, and what does it mean
about the number of real solutions the equation has ?
The discriminant is -4 , so the 2 equation has 2 real solutions.

The discriminant is -4, so the equation has no real solutions.

The discriminant is 35, so the 2 equation has 2 real solutions

The discriminant is 35 , so the equation has no real solutions.

Answers

Answer: Choice B

Discriminant = -4; no real solutions

===========================================================

Explanation:

The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5

We see that

a = 1

b = -4

c = 5

The discriminant is

d = b^2 - 4ac

d = (-4)^2 - 4(1)(5)

d = 16 - 20

d = -4

The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]

Answer:

The discriminant is -4, so the equation has no real solutions.

Step-by-step explanation:

The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:

[tex]\Delta = b^2 -4ac[/tex]

So our variables are:

[tex]a = 1[/tex]

[tex]b = -4[/tex]

[tex]c = 5[/tex]

Replacing in the formula for find the discriminant we have:

[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]

Now if  you remember the quadratic formula is the next

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).

If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.

[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]

How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:

[tex]\sqrt[2n]{-a} = \text{not found}[/tex]

For this we can assure that doesn't exist solutions in the real numbers,  so the equation has no real solutions.

Find the length of the diagonal in rectangle using image 3353

Answers

Answer:

65

Step-by-step explanation:

c=a2+b2=332+562=65

(4,1),(8,2) in slope intercept form

Answers

Answer

y=1/4x

Step-by-step explanation:

2-1/8-4=1/4

Choose either of these points ( I will use 4,1 becuase it's easier)

1=1/4(4)=b

1=1+b

0=b

y=1/4x (you don't put the zero)

Write the equation of a horizontal line going through the point (8, -1)

Answers

Answer:

y =-1

Step-by-step explanation:

An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.

Solve for x:
-15 = x/-0.5
x =

/ = fraction symbol

Answers

Answer:

7.5

Step-by-step explanation:

You first have to switch the sides of the numbers. After you do that you multiply both sides by -0.5. Finally, you simplify and get 7.5

Brainliest pls?

Answer:

7.5

Step-by-step explanation:

You can multiply both sides by -0.5.

-15×-0.5=7.5

x=7.5

Hope that helps! :)

if sinA=1/2 then find sinA +cos A

Answers

Step-by-step explanation:

Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8  → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA                         = (1/2)2 + 4(3/8)                         = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .

Given that,

[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]

Whoever answers in simplest form gets brainliest, 5 stars, and a thanks. Please help asap.

Answers

Answer:

18.725

Step-by-step explanation:

4 5/8 = (4*8 + 5) /8 = 37/8

10 7/10 = (10*10 + 7) / 10 = 107/10

3 2/5 = (3*5 + 2) / 5 = 17/5

lcm of 8, 10, 5 is 40

37/8 + 107/10 - 17/5

= (37*5 + 107*4 - 17*8) / 40

= (185 + 428 + 136) / 40

= 749/40

= 18.725

Other Questions
Le commencement de Guerre. Please help! Will report links a(5+b) HELPPPP btw use distribitive why it is so difficult to compare unemployment rates in the United States with unemployment rates in poorer countries? What type of conflict is shown in the following paragraph?I knew I was wrong. I really did. I should not have lost my temper just because I lost a basketball game. I looked at Walter and I knew I hurt him, and yet I still could not get the words to come out of my mouth. I grit my teeth and swallowed my pride and said in a low voice, Im sorry. And just like that Walter forgave me. It was like a large weight had been lifted off my shoulders. I felt so much better it seemed silly that it took me so long to do it in the first place!A. Man vs natureB. Man vs selfC. Man vs manD. Man vs society plz help with this ty Read the paragraph from a section of students report about dealing with stress. Drag the heading into the box that best tells readers what the section of the report is about. Response area Lack of sleep and stress go hand in hand. There are steps to take to get a better nights rest. Regular exercise each day is important for relieving stress and getting enough sleep. To improve sleep quality, one should also make it a habit to go to bed and wake up at the same time each day. People need different amounts of sleep depending on their age and activity level. Set up a nightly routine, like reading for fifteen minutes before bed, to help the mind and body prepare for sleep. Make sure your bedroom is dark and quiet. Put away phones, toys, and electronics, and turn off the television. Please help asap! Solve for x and y Simplify the expression.6(12 3) + 4 + (3 2)6496144208 What do you think about New York banning Squid Game costumes? Is Squid Game worse than Nightmare on Elm Street? Which of the following substances is least likely to diffuse across the phospholipid bilayer of the cell membrane?A) large hydrophobic molecules B) hydrophobic small moleculesC) carbon dioxide D) small ions 90/9 as a whole number Physical activity may lessen during the school years due to ____. If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. Round up your answer to the next period. Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have? At a certain high school, 38 out of 108 students surveyed have a pet at home. If there are 2,000 students in the school, estimate the number of students in the school who have a pet at home. what's the answer?economics is the study of how society_____.A) can gain increasing amounts of resourcesB) uses scarce resource to satisfy its needs and wantsC) invests its money in different kinds of businessesD) prevents shortages of its most popular goods and services who were the two main contributors to the international style? the baglike, muscular organ that mixes and chemically changes protein is the Make a summary of the education system in the U.S.A, in your own words. i need a lot of help and please help i need it