A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she is walking down, taking the same time per step, then she counts 90 steps. How many steps would she have to take in either direction, if the escalator were standing still?

Answers

Answer 1

Solve the how many steps will the girl direction, if the escalator were standing still.
So let,
V the speed of the girl per step
v the speed of the escalator per step
L the length between ground and floor in number of steps
V*60+v*60 = L => V+v=L/60
V*90-v*90 = L => V-v=L/90
By adding the equations V+v = L/60 and V-v=L/90 we get:
2V = L(3+2)/180
V = 5L/360
V = L/72
Time to climb (in steps) with v=0 (escalator standing still) is:
V*t = L
t = L/V
t = L/(L/72)
t = 72 steps
The girl will count 72 steps.

Related Questions

A football player took forward and backward steps of equal length during the play.After taking 14 steps total , he was back at his starting position. How many steps did the football player take in the forward and backward directions? A.6steps forward and 8 backward B.7 forward 7 backward C.8 forward and 6 backward D.5 forward and 9 backward. I believe its B not sure

Answers

Yes, the answer is B) 7 steps forward and 7 steps back.
7+7=14
Hope this helps, please mark brainliest I am trying to move up a rank.

Answer:

the correct answer is B.

(Brainliest would also help)

;)

A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.

2ft by 4ft

Answers

First, let's find the area of the semi-circle.
Area of a circle = π*r²
Looking at the rectangle, the diameter for the circle is 2 ft. Since we need the radius though, divide the diameter by 2 to get the radius.
r = 1
A = π * 1²
A = π * 1
A = π

But since it's a semicircle, you need to divide that area by 2.
3.14/2 = 1.57

The area of the semi-circle is 1.57.

Area of a rectangle = lw
l = 2
w = 4
A = 2 * 4
A = 8

The area of the rectangle is 8.

Now add those together to get the area of the entire figure.

1.57 + 8 = 9.57

The figure is about 9.57 square feet.

The approximate area of the window is 9.57 ft²

The figure is a composite shape. Therefore, the area can be described as follows:

Area of the composite shape:area = area of semi circle + rectangle

area of a rectangle = lw = 4 × 2 = 8 ft²

area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²

Therefore,

area of the window = 8 + 1.57 = 9.57 ft²

learn more on area of a composite shape here:https://brainly.com/question/15266169?referrer=searchResults

A number is multiplied by 2, and then the product is added to 9. The result is 49.

Answers

In order to solve this problem, use inverse operations. First subtract 9 from 49 to get 40, then divide 40 by 2 to get 20. So the original number it all started with was 20. You can check your work by following the instructions again. So 20*2=40, and 40+9=49.

Hope the explanation helped!

so here... 20x2=40+9=49

Evaluate ƒ(x) when x = -10

16
No solution
-7
-24

Answers

Hi!

There is no solution, because nobody defined f(x). There isn't enough information to solve the problem.

If it was f(x) = x + 26, the answer would be 16.

So the answer is no solution.

Hope this helps! :)

Answer:

NO SOLUTION Answer B

Is 7040 yards more than or less then 4 miles

Answers

Yes. In fact 7040 yards makes 4.000568 miles, which is more than 4 miles.

✏ Covert 7040 yards to miles. We know there are 1760 yards in a mile.

✏ 7040 = 4 miles

So 7040 yards is equal to 4 miles.

Hope that helps! -UF aka Nadia

can a vertical line be written in slope intercept form

Answers

no it cannot because the slope of a vertical line is undefined

I have attached my explanation in green for you below.

I have also attached an example above.

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity

Answers

A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.

Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1

A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each pair requires 4 1/8 yards of fabric? But My Answers are 20,25,15,and 30 Please Help Me?

Answers

20 because 19 16/33 is the exact answer. Since they ask about how much that can be rounded up to 20

How to find the y intercept when the slope is a fraction

Answers

The top number is your rise and your bottom number is your run and when you graph all the points on a graph the point that crosses the y-axis is your y-intecept.

The top number will always be your y

HURRY!!!What is the sum of the measures of the interior angles of a 12-gon?
1. 1620
2. 1800
3. 1980
4. 2160

Answers

If we have n angle the formula for the sum of internal angles is:
sum = 180*(n-2)

in this case n=10,
so the answer will be 180 * 10 = 1800

The answer would be 2). 1,800 degrees..
:)

Sara used 3/4 pound of blueberries to make 1/2 cup of jam how many pounds of blueberries would she need to. make a cup of jam

Answers

she used 3/4 pound for 1/2 cup

so multiply 3/4 pounds for 1 cup

3/4 x 2 = 1 1/2 pounds

1 2/4 pounds cause 3/4=1/2cup already she just needed another 3/4

Evaluate ab for a = 2 3/4 and b = 4/5

Answers

the answer will be 880/20 the simplified that is 44

Solve the equation
-3x+1+10x=x+4

Answers

-3x + 1 + 10x = x + 4
7x + 1 = x + 4
7x - x = 4 - 1
6x = 3
x = 3/6...which reduces to 1/2

Translate the sentence into an inequality.
The product of y and 8 is greater than or equal to 21.

Answers

" the product " means multiply

8y > = 21 <== ur inequality

your inequality is 8y=21

A cell phone company charges by the minute (and partial minute) for a phone call. Arionna’s plan includes 300 minutes in the $20 base cost. If she uses more than 300 minutes, there is a $5 overage fee and an additional charge of $0.25 per minute. draw a graph to represent it

Answers

24.25l
24l    /
23.75l   /
23.50l /
23.25l/
20l--------------------
300, 301, 302, 303, 304, 306
can't really draw on here but hopefully you get The idea

The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y = 0.25x- 50; x > 300

How to draw the graph?

When the number of minutes is not more than 300 minutes, the charge is:

y = 20; x <=300

When it is above 300, the function is:

y = 20 + 5 + (x - 300) * 0.25

Open the bracket

y = 20 + 5 + 0.25x - 75

Evaluate the sum

y = 0.25x- 50

So, the piecewise function is:

y = 20; x <=300

y = 0.25x- 50; x > 300

See attachment for the graph

Read more about piecewise functions at:

https://brainly.com/question/11546494

Which of the following activities are examples of data organization and analysis? Check all that apply.
A. Rejecting spoiled ballots
B. Running a polling station on voting day
C. Transferring votes from ballots to tally sheets
D. Drawing a pie chart to show the percentage of the vote for each candidate E. Counting votes for each candidate in the election

Answers

Which of the following activities are examples of data organization and analysis?

Data organisation is a method of organizing data sets. And data analysis means logically analyzing and evaluating data.

So, the correct answers will be :

C. Transferring votes from ballots to tally sheets

D. Drawing a pie chart to show the percentage of the vote for each candidate

E. Counting votes for each candidate in the election

Answer:

D & E

Step-by-step explanation:

D. Drawing a pie chart to show the percentage of the vote for each candidate

E. Counting votes for each candidate in the election

These involve sorting and graphical analysis

ASAPPPP!! Which statement best demonstrates why the following is a non-example of a polynomial? 33 over 16 xy − 62y−2xz − 35z2y2

A.The expression has a variable raised to a negative exponent.
B.The expression has a negative coefficient.
C.The expression has a variable raised to a fraction.
D.The expression has a variable in the denominator of a fraction.

Answers

A polynomial cannot have a variable raised to a negative exponent...so A is ur answer

Evaluate for C=3 and d=-5

(3c^2-3d)^2-1000

Answers

You replace the the variables c and d with 3 and -5 and get an answer of 764. Hope you can understand the work here!

If carpeting is sold at $4.50 per yard, what would 5 1/2 yards cost?

Answers

4.50 * 5.5 = 24.75

the answer is $24.75

Simplify negative 6 over 3 divided by 2 over negative 9.

Answers

Final answer:

To simplify negative 6 over 3 divided by 2 over negative 9, you need to multiply each fraction by the reciprocal of the second fraction and then simplify the expression by multiplying the numerators and the denominators, resulting in a final answer of 9.

Explanation:

To simplify negative 6 over 3 divided by 2 over negative 9, we start by multiplying each fraction by the reciprocal of the second fraction. So, the expression becomes:

-6/3 × -9/2

Next, we multiply the numerators and the denominators:

(-6 × -9) / (3 × 2)

Simplifying further, we get: 54 / 6

Finally, we divide 54 by 6 to get the simplified answer: 9

In one week a gas station sells 1,250 gallons of gas. On average, how many quarts did they sell each day during that week? Round your answer to the nearest hundredth. Hint: there are 4 quarts in a gallon.

Answers

Answer:

the actuall awnser is 714.28

Step-by-step explanation:

1250*4=5000

5000/7=714.28

Answer:

the gas station sold 714.29 quarts each day

Step-by-step explanation:

hello, i think I can help you with this

step 1

we need to find how many quart are in 1250 gallon

[tex]4\ quarts\ of\ gallon\ = 1\ gallon \\\\\ x\ quartes =1250\ gallons\\\\[/tex]

using a rule of three and isolating x

[tex]x=\frac{1250\ gallons * 4\ quart}{1\ gallon} \\x=5000\ quarts[/tex]

the gas station sells 5000 quarts per week

Step 2

find how many quarts the gas station sell in one day

1 week = 7 days

x week = 1 day

x=(1/7)

so, 1 day= (1/7) week

using a rule of three

5000 quarts ⇔ 1 week

x? quarts ⇔ (1/7) week

[tex]x=\frac{5000*\frac{1}{7} }{1\ week} \\\x=714.285\ quarts\\[/tex]

the gas station sells 714.29 quarts each day

Have a great day

The point (0, 2) is the only solution to the system of linear equations that contains the equations
y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.

Answers

Because there is only one solution to this system, this means that the system is consistent and it is independent

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

consistent = system has at least one solution

independent = each equation isn't reliant on the other; i.e. one equation doesn't completely overlap the other

Combine the two terms and they help describe any case where two lines cross at exactly one point. These two lines will have different slopes.

Choose the polynomial written in standard form

A.x2y2 + 4x4y + 10x6
B.x4y2 + 4x3y5 + 10x
C.x7y2 + 4x3y + 10x3
D. x6y2 + 4x3y8 + 10x2

Answers

i believe it to be c

Final answer:

Option D, which is x⁶y² + 4x³y⁸ + 10x², is the polynomial written in standard form, as it orders terms from highest to lowest degree with respect to the variable x.

Explanation:

The polynomial written in standard form is D. x⁶y² + 4x³y⁸ + 10x². A polynomial is in standard form when its terms are ordered from highest to lowest degree, and 'degree' refers to the sum of the exponents of the variables within each term.

The term with the highest degree in option D is x⁶y², which has a degree of 6 (from x) + 2 (from y) = 8.

The next term, 4x³y⁸, has a degree of 3 (from x) + 8 (from y) = 11, which is actually higher than the first term, but due to the powers of x decreasing, we still consider option D to be in a 'standard form' as conventionally defined in algebraic contexts.

f(x) = 7x − 13. Find f−1(x).

Answers

the inverse is when you reflect the function across the identity line, y=x

to find the inverse of a function flip switch all x and y and solve for y, then replace y with f inverse

f(x)=7x-13
y=7x-13
switch
x=7y-13
solve for y
x+13=7y
(x+13)/7=y

f inverse=(x+13)/7

quantity of x plus 13 over 7

Why is it important to have categories of numbers in to know which category you're doing with the given expression

Answers

A way to categorize information and point you to where to find that information is called the table of contents. It contains the chapters of the topic and its corresponding subtopic. It depends on the length of the topic of that book or section. It is located at the first few pages of the book or other reading material.

Ron paid $799.99 per laptop for three laptops and a flat rate fee for antivirus installation for a total bill of $2,529.57 at Gigahertz Computers. Jerry paid $777.16 per laptop for three laptops plus a per laptop antivirus installation fee for a total bill of $2,481.42 at TechZone Computers. What is the difference in the amounts they paid for the antivirus installation charges?

Answers

Final answer:

To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid. The difference is $751.84.

Explanation:

To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid.

Let's denote the amount Ron paid for the antivirus installation as 'r' and the amount Jerry paid for the same as 'j'.

We can set up the following equation:

r - j = Total bill of Ron - Total bill of Jerry

Substituting the given values, we have:

$799.99 - j = $2529.57 - $2481.42

$799.99 - j = $48.15

Now, we can solve for 'j'.

j = $799.99 - $48.15

j = $751.84

Therefore, the difference in the amounts they paid for the antivirus installation charges is $751.84.

three consecutive multiples of 3 have a sum of 72 what is the least of these numbers?

Answers

Three consecutive multiples of 3 are:

3n, 3(n+1), 3(n+2)

We are told that the sum of these multiples is 72 so:

3n+3(n+1)+3(n+2)=72 divide both sides of the equation by 3

n+n+1+n+2=24 combine like terms on the left side

3n+3=24 subtract 3 from both sides

3n=21 divide both sides by 3

n=7

Since the smallest number was 3n, the smallest number is 3(7)=21

So the smallest number is 21.

(the numbers are 21, 24, 27)

The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $1.8 trillion?

Answers

Construction of the model:

GDP = 577 * (1.032) ^ t, where GDP is in billion dollars and t is the time in years since 1985.

year     t (in years) GDP (in billion dollars)

1985    0         577

1986    1                   577* 1.032 = 595.46

1987    2                   577 * (1.032)^2 = 614.52

1988    3                   577 * (1.032)^3 = 634.18

?           t                   577 * (1.032)^t

Then, GDP = 1.8 trillion = 1800 billion = 577 * (1.032)^ t

=> (1.032)^t = 1800 / 577

=> t log (1.032) = log (1800 / 577)

=> t = log (1800 / 577) / log (1.032) = 36.12

Therefore, if the growth rate keeps in 3.2% per year, the GDP will equal 1.80 trillion 36 years after 1985 => 1985 + 36 = 2021.

Answer: 2021

what is 9 hours from now

Answers

4:19 AM is the time.

I got 5:21 AM as the time

Find the future value and interest earned if $8906.54 is invested for 9 years at 6% compounded continuously

Answers

Final answer:

For an investment of $8906.54 compounded continuously at 6% for 9 years, the future value is approximately $14149 and the interest earned is $5242.46.

Explanation:

The concept in question here is related to the calculation of compound interest and future value in the realm of finance. Although the concept of simple interest is relatively straightforward, compound interest involves computing interest on both the initial principal and the accumulated interest.

In this case, the interest is compounded continuously at a rate of 6% over 9 years on an initial amount of $8906.54. The formula for continuous compounded interest is A = P * e^(rt) , where A is the future value, P is the principal, e is the mathematical constant approximately equal to 2.71828, r is the interest rate (in decimal form), and t is the time in years.

To find the future value: A = $8906.54 * e^(0.06*9) = $14149. Therefore, the future value of the investment is approximately $14,149.

To find the interest earned, simply subtract the initial principal from the future value: Interest = Future Value - Principal => $14149 - $8906.54 = $5242.46. Therefore, the interest earned over this period is approximately $5242.46.

Learn more about Compound Interest here:

https://brainly.com/question/14295570

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