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

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 80 meters × 60 meters. How much shorter is the route across the park than the route around its edges?

Answers

Answer:

40meters

Step-by-step explanation:

rectangular park has 90 degree at vertex.so

in that right angled triangle

we have,

length=base=80meters

breadth=perpendicular=60

diagonal=hypotenuse=?

now,

h^2=p^2+b^2

h=square root under 80^2+60^2

h=square root under 6400+3600

h=square root under 10000

h=100

Again,

around root =80+60=140

daigonal=100.

so

the route is 140-100=40meters shorter

Factor
10x + 100x + 250

Answers

10(11x+25)
Is the answer

simplify (5 cubed)to the power of 6 leaving your answer in index form

Answers

Answer:

I got up to 25 to the power of 6

Step-by-step explanation:

5 cubed is 25, Hope this leads you in the right direction

A car was traveling at 25 m/s when it slammed on the brakes and came to a complete stop in 3 seconds. What is the cars INITIAL/FINAL VELOCITY?​

Answers

Answer:

Initial velocity = 25 m/s

Final velocity = 0 m/s

Step-by-step explanation:

    Initial velocity is the speed in the beginning and final velocity is the speed in the end.

    The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.

Using the appropriate Algebraic identity evaluate the following:(3p -q) (3p +q)​

Answers

Step-by-step explanation:

expand and multiply the terms

jerry has 3,572 live chickens in his poultry farm.if there are 38 boxes , how many chickens must go in each box?

Answers

Answer: 94 live chickens go in each box.

Step-by-step explanation:     3,572 divided by 38 = 94 so 94 live chickens go in each box.

hope this helps :)

 

Solve the equation below 2(t+4)=7+5(t-4)

Answers

Answer:

t= 7

Step-by-step explanation:

2(t +4)= 7 +5(t -4)

Expand:

2t +2(4)= 7 +5t +5(-4)

2t +8= 7 +5t -20

2t +8= 5t -13

Bring constants to one side, t terms to the other:

5t -2t= 13 +8

Simplify:

3t= 21

Divide both sides by 3:

t= 21 ÷3

t= 7

Which equation matches the graph shown?

Answers

Answer:

Vertex form:  y = -2(x - 1)²

Standard form: y = -2x² + 4x - 2

Step-by-step explanation:

Given the x-intercept as the vertex, (1, 0), and the y-intercept, (0, -2) as the two points on the graph of a parabola:

We can determine the equation by substituting these given values into the vertex form of the quadratic equation:

y = a(x - h)² + k

where:

a = determines the direction of where the graph opens, and the wideness or narrowness of the parabola.

(h, k) = vertex

Solve for the value of a:

Use vertex: (1, 0) and y-intercept, (0, -2):

y = a(x - h)² + k

-2 = a(0 - 1)² + 0

-2 = a(-1)²

-2 = a(1)

-2 = a

Quadratic Equation:Vertex form:

The quadratic equation in vertex form that matches the graph is:

y = -2(x - 1)² + 0 or  y = -2(x - 1)² This is the quadratic equation in vertex form.

Standard form:

To transform the vertex form into the standard form, y = ax² + bx + c:

Simply expand the perfect square, (x - 1)², through FOIL method before distributing -2:

y = -2(x - 1)²

y = -2(x - 1)(x - 1)

y = -2(x² -2x + 1)

y = -2x² + 4x - 2 ⇒ This is the quadratic equation in standard form.  

An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.

Answers

What do I select? You didn't put anything here.

The 18% off on the regular price of $55.43 is $45.45 so (A) is correct and the 18% off on the regular price of $29.99 is $24.59 so (B) is correct rest is not true.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The 18% off of x ⇒ x - (18/100)x = 0.82x

Therefore, 18% off of $55.43 → 0.82 × 55.43 =  $45.45

18% off of $29.99 → 0.82 × 29.99 = $24.59

18% off of $215.33→ 0.82 ×215.33 =$172.26

18% off of 849.50 → 0.82 ×849.50 = $679.60

18% off of 652.30→ 0.82 ×652.30 =  $534.89

Hence "The 18% off on the regular price of $55.43 is $45.45 and the 18% off on the regular price of $29.99 is $24.59 rest are not true.

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Given question is incomplete,complete question follows ;

An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.

Multiple select questions.

A)

regular price: $55.43, sale price: $45.45

B)

regular price: $29.99, sale price: $24.59

C)

regular price: $215.33, sale price: $172.26

D)

regular price: $849.50, sale price: $679.60

E)

regular price: $652.30, sale price: $534.89

What does this graph represent?
Question options:
not moving
acceleration
constant speed

Answers

Answer:

A or C

Step-by-step explanation:

[tex]\sqrt{7+2\sqrt{10} } -\sqrt{7-2\sqrt{10} }[/tex]

Answers

7247/673726:6737-78488

Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes

Answers

Answer:

25

Step-by-step explanation:

Its just 25

This is probably easy oh well

Answers

c, the third answer…..
the third one which would be C.

I really don’t know how to do this

Answers

0.64^2 = 1- 5.2^2/a^2 a≠0
(16/25)^2= 1- (26/5)^2/a^2
256/625=1- 676/25a^2
676/25a^2=1- 256/625
676/25a^2=369/625
422500=9225a^2
a^2 = 16900/369
a= 6.76753
= 6.8

D is the answer

Which postulate /theorem can you use to prove the two triangles shown are congruent? ​

Answers

777377737666267#773727363653626728’e

Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9


PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST

Answers

Answer:

D 9

Step-by-step explanation:

1 ribbon ---- 2/3 yards

x          ------  6 yards

6 * 1 = 2/3 * x

6 = 2/3 x

18/2 = x

x = 9

9 ribbons can be cut from 6 yards of ribbon

If f(x)=6, what is x?

Answers

Answer:so: 6=6/5-x^3

6=6(5-x^3)

6=30-6x^3

-6x^3=6-30

-6x^3=-24

-6x^3+24=0

6x^3-24=0

6(x^3-4)=0

x^3-4=0

x^3=4

x=cube root 4

x=1.5874

Step-by-step explanation:

Please help explain my answer!!
Why does a compass point towards the earth's geographic North Pole?
My answer:
Because that's where Earth's south magnetic pole is located and they attract.
Make sure to explain your answer.
Help!

Answers

The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!

The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.​

Answers

#1

Cost of 1orange=1200

Cost of 12 oranges:-

[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]

#2

Total cost=32000Cost of one orange=1200

Total oranges

[tex]\\ \sf\longmapsto 32000\div 1200[/tex]

[tex]\\ \sf\longmapsto 2666.6[/tex]

[tex]\\ \sf\longmapsto 2667[/tex]

In which diagram are angles 1 and 2 vertical angles?


Answers

Answer:

Step-by-step explanation:

can you upload diagram?

Please find x and y... I will mark you brainliest

Answers

Answer:

Step-by-step explanation:

Dodoodo

Step-by-step explanation:

x=30 and y=30. I have solve it. See the picture that I have attached.

answer this asap


1)There are 30 students in a class. 18 are girls. Express the number of girls as a percentage of the
class.

2)What is the probability of choosing the color blue from the colors of the rainbow?

Answers

Answer:

1) 18/30×100%=60%

Hope this helps!!!

Answer:

See below

Step-by-step explanation:

Hi there!

Question 1

There are 30 students in total and 18 are girls, making 18/30 of the class girls. To express this as a percent, divide, then multiply by 100:

18/30 = 0.6

0.6 × 100 = 60%

Therefore, 60% of the class is girls.

Question 2

There are 7 colours in the rainbow, making blue 1/7 of the colours of the rainbow.

Therefore, the probability of choosing blue from the colours of the rainbow is 1/7.

I hope this helps!

What is the slope-intercept form of the linear equation 2x - 8y = 32?

(Don't forget to simplify fractions if possible)

Answers

Answer:

y = 1/4x + 4

Step-by-step explanation:

2x - 8y = 32

-2x            -2x

-8y = -2x + 32

divide everything by -8

so that y becomes positive

answer : Y = 1/4x + 4

The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.

Let's rearrange the given equation to solve for y:

2x - 8y = 32

Subtract 2x from both sides:

-8y = -2x + 32

Divide both sides by -8:

y = (2/8)x - 4

Simplifying further, we get:

y = (1/4)x - 4

So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Learn more about linear equation click;

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Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?

Answers

Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.

The difference between Lizzy's base salary and Jackie's is:

= 1,800 - 1,500

= $300

Assuming a nail service costs $20, the amount she makes per service is:

= 20% x 20

= $4

The number of nail services she needs to do is therefore:

= Difference in wages / Amount per service

= 300 / 4

= 75 nail services

In conclusion, Jackie needs to do 75 nail services.

Find out more at https://brainly.com/question/17700034.

I don’t know what the answer is

Answers

It's number three -6x2 is minus 12
1-12=-11
Is c because 1-6 times 2 equal -11

22% of what number is 24.2​

Answers

Answer:110

Step-by-step explanation:

24.2/x = 22/100

Where x is the number we are looking for

cross multiply

24.2*100 = 2420

22*x=22x

22x=2420

22x/22=2420/22

x= 110

so 24.2 is 22% of 110

Answer:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Step-by-step explanation:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change Multiply a number by the fraction 100/100, and its value doesn't change.

The coefficient in the formula above tells us that there are?

Answers

Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

192

Step-by-step explanation:

Volume of a rectangular prism = length times width times height.

For the following prism, length = 4, width = 6 and height = 8

So volume would equal 4 * 6 * 8 = 192ft²

[tex]at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.[/tex]
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.

Answers

There would be exactly 1008 students present on the particular day

Nina paid $37.57 for 13 gallons of gas Fred paid $55.67 for 19 gallons of gas Eleanor paid $48.62 for 17 gallons of gas. Who got the best buy?
(Find the unit price for each

Answers

Answer:

Nina paid $2.89 per gallon.

Fred paid $2.93 per gallon.

Elanor paid $2.86 per gallon.

Elanor got the best deal.

Step-by-step explanation: Simple division, and if you don't know how to, just learn it or use a calculator.

Answer:

Eleanor because they paid the lowest.

Step-by-step explanation:

N=Nina F=Fred E=Eleanor

N 37.57/13=2.89 per gallon

F 55.67/19=2.93 per gallon

E 48.62/17=2.86 per gallon

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