Bob and Sue are meeting on a stairway. Bob is at the top and Sue is at the bottom. There are 9 steps
from bottom to top. Bob can skip a step each time since he is going down, Sue will not skip any steps. On
which step will they meet.

Answers

Answer 1

Answer:

Bob is at the top, so he starts at step 9.

Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)

Sue climbs from one step on one step.

Then she if she climbs n times, she will be at the step number:

S(n) = 0 + 1*n

And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:

B(n) = 9 - 2*n

We want to see when they meet, then we need to solve:

S(n) = B(n)

1*n = 9 - 2*n

1*n + 2*n = 9

3*n = 9

n = 9/3 = 3

n = 3.

This means that they meet a the step:

S(3) = 3*1 = 3

B(3) = 9 - 2*3 = 9 - 6 = 3

They meet at the third steep.


Related Questions

50 POINTS!
What is the value of x in the equation 4(–5 + x) = –4?

A.
–6

B.
–4

C.
4

D.
6

Answers

Answer: C 4

Step-by-step explanation:

the answer is C, x=4

What is the measure of 22?
Angles are not necessarily drawn to scale.
X
Y
32
Z

Answers

Answer:

56 i hope this helps!

Step-by-step explanation:

Well its the answer because its the problems answer! hope this helps

Answer:

[tex]\boxed{\tt x=58^{\circ}}[/tex]

Step-by-step explanation:

From the given diagram, we see that ∠YOZ and ∠XOY are complementary angles.

Complementary angles: two angles with measures that add up to 90°.

[tex]\tt m\angle XOY+m\angle YOZ=90^{\circ}[/tex]

[tex]\tt \angle XOY+\angle YOZ=90^{\circ}[/tex]

[tex]\tt 32^{\circ}+x=90[/tex]

Subtract 32 from both sides:

[tex]\tt 32^{\circ}+x-32^{\circ}=90^{\circ}-32^{\circ}[/tex]

[tex]\tt x=58^{\circ}[/tex]

___________________________________

find the missing side each triangle.round your answers to the nearest tenth if necessary

Answers

Answer:

x = 6

Step-by-step explanation:

The triangle is a right triangle, as denoted by the red square at the bottom, we can use the Pythagorean Theorem to figure out the second side (since we are given the other side and the hypotenuse).

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64 = 36

b = ±[tex]\sqrt{36}[/tex]

b = ± 6

But we know that distance is always positive, so

b = 6

I have used b in place of x if you are confused about the variable usage.

FOUNTAINS The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.

Answers

Answer:

The fountain has a circumference of 9 feet.

Step-by-step explanation:

5 and above get rounded to the next tenth and 4 and below rounds to the nearest 10 also and that would be 9 if it was 9.5 or above the answer would have been 10.0

What is the value of (x)​

Answers

if your looking for an answer. X=9
X=9

Tfufylxtxycuoxtxit

.
What is the purpose of parentheses in a two-step problem?
Parentheses tell you to multiply first.
Parentheses tell you to do the operation with the largest numbers.
Parentheses tell you to add first.
Parentheses tell you what operation to do first.

Answers

Answer:

The Parenthesis tells you what operation to do first.

Step-by-step explanation:

Why? Because you have to get rid of the Parenthesis before getting rid of anything else in the problem.

Find the area of the trapezoid

Answers

Answer:

16 cm²

Step-by-step explanation:

You rented a bike to ride on the beach. The one-time fee was $12 and you were charged S5 per hour. It cost you a total of $27 to rent the bike. How many hours did you rent the bike?​

Answers

Answer:

5 hours and 2 minutes?

Step-by-step explanation:

5,10,15,20,25 + the two=27

Answer: 3 hours

Step-by-step explanation: First you add the one time fee to the first hour. Which you get $17. Then you keep adding $5 until you get $27

if p(x)=2x+3y Q(x) = x + 2 what is
p(x) + Q (x)

Answers

Answer:

p(x)+Q(x)=(2x+3y)+(x+2)=2x+3y+x+2= 3x+3y+2

3x+3y+2 is the right answer.

Answer:

if p(x)=2x+3y Q(x) = x + 2 what is

p(x) + Q (x)=2x+3y+x+2=3x+3y+2

enter the equation of the line in the form =mx where m is the slope .​

Answers

Answer:

y = 3x

Step-by-step explanation:

The line goes up 3 and goes across by 1. Using the rise over run structure, it will be 3/1 or 3. m is equal to the slope, making it y = 3x, since y doesn't intercept anything, you don't need to put + anything at the end. Hope I helped. :D

What is 0.66% of 9,500 is

Answers

Answer:

62.7

Step-by-step explanation:

Answer:

62.7%

Step-by-step explanation:

Activity: Find three different single digit numbers that
multiply together to give 120.

Answers

Answer:

Step-by-step explanation:

5,4,6

5×4=20 and 20×6=120

-8x + 4 - 9 - 5x
help me ASAP

Answers

Answer:

-13x-5?

Step-by-step explanation:

simplify? if not this answer is wrong

Jana divided a sheet of paper into 5 equal sections and colored 2 of the sections red. What precent of the paper did she color ( ik the answer is ez my mom told me to think, but im too lazy to think )

Answers

Answer:

are u dumxb?? asur grandpa in the graveyard

30% i think im not sure

Algebra 1 need help (Solving exponents equations)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the exponents and indices.

here, we should remember one thing that,

3 ^3 = 27 and 1/3^x = 3^-x

so we get as,

(3^-3)^4-x = (3^3)^2x-1

==> 3^-12+3x = 3^6x-3

since the base is same that is 3 , we equate their powers.

-12x+3=6x-3

==> 3+3 = 6x+12x

==> 6 = 18x

hence ===> x = 6/18 = 1/3

hence, x = 1/3

Divide. Write the answer in simplest form.

\frac{5}{6}\div4
6
5

÷4

Answers

Answer:

3/10

Step-by-step explanation:

find the area of the figure below composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place​

Answers

Area of rectangle - area of semicircle

L×B - πr square /2

Area = 124/7...

3/8 x 3/4=

9/32
1/2
9/24
1/8

Answers

Answer:

9/32

Step-by-step explanation:

3 x 3 = 9. 8 x 4 = 32. 9/32

I have a D in math. Please help me with this. I need to bring my grade up!! 15 pts!!

Answers

Answer:

20 meters thru 80

Step-by-step explanation:

0.8(5)^2=20

0.8(10)^2=80

Helppppppppppppppppppppp

Answers

Answer:

3 bags

Step-by-step explanation:

Even though she will have extra she still will need 3 bags to get 12.

Answer:

3

Step-by-step explanation:

We know Ms.Smith is buying avocados and needs 12, we also are provided with the fact that she buys them in bags of 5.

If you take a look at the picture, we need to find a bag that fits 12 avocados in,  this would be 3. As in 3 bags that contain 15 avocados in total, though excessive amount, this is the bag that she would need to benefit her the most.

What is the polynomial in standard form?

Answers

That’s the answer ❤️❤️❤️Hope that helps!!!
Answer: I hope this helps!!

Explanation:

If f(x) = 6x+7 find f(q+1)

Answers

Answer:

6q + 13

Step-by-step explanation:

Given

f(x) = 6x+7

To find f(q+1),

substitute x with q+1 in the given equation:

f(q + 1) = 6(q + 1) + 7 = 6q + 6 + 7 = 6q + 13

Answer:

Given :-

f(x) = 6x + 7

Solution :-

Let's put c as q + 1 and f as 6

6(q + 1) + 7

(6 × q) + (6 × 1) + 7

6q + 6 + 7

6q + 13

[tex] \\ [/tex]

question in the image attached8​

Answers

Answer:

E

Step-by-step explanation:

1-A student studies math for 1 5/7 hours and science for 3 1/19 hours over the weekend. How much time, in hours, did this student study for math and science altogether?

2-A metal alloy is made by mixing 99/17 ounce of Metal A with with 3/11 pound of Metal B. What is the total weight of the alloy in pounds?

3-A baker mixes 3.1 ounces of butter with 227.6 grams of flour. What is the total weight of the mixture in grams?

4-A carpet cleaner charges $0.99 per square foot to clean carpet. In the next house he is going to clean, the client reveals a perfectly circular carpeted room. If the room measures 45 feet in diameter, how much will he charge?

Answers

Answer:

1. [tex]4\frac{102}{133}[/tex]

2. [tex]6\frac{18}{187}[/tex]

3. 230.7

4. $1,574.53

good luck, i hope this helps :)

Go step by step to reduce the radical.

Answers

Answer:

Step-by-step explanation:

You can begin by breaking down √(160) into its prime factors.

160 = 2 * 2 * 2 * 2 * 2 * 5

√(160) = √(2 * 2 * 2 * 2 *2 * 5)

This can be broken down further by

2 * 2√2 * 5

For every 2 factors that are the same, take one outside the brackets

4 √10

I suppose the way you are supposed to write this is √16 * √10

I'm not sure I'm right. There are 2 square root signs there and it is the only way I can think of to use 2 square root signs.

7,12,13,14,15,14,19,14,13,10,11,7,18,20,14,16,14,18,13

find the median?​

Answers

Answer:

14

Step-by-step explanation:

its 14 because its listed more then once i mean so is 13 but 14 is listed 6 times and 13 is listed 3 times

so there for your answer is 14

One side of a rectangle is 3 yards longer than twice the length of another side. If the perimeter is 27 yards, what is the length of the longer side

Answers

Answer:

10 yards

Step-by-step explanation:

;)

The required length of the longer side is 10 yards.

What is the perimeter?

Perimeter, is the measure of the figure on its circumference.

Here,
Let's assume that the length of one side of the rectangle is x yards. According to the problem, the other side of the rectangle is 3 yards longer than twice the length of this side. So, the length of the other side can be expressed as 2x + 3 yards.

The perimeter of a rectangle is the sum of the lengths of all its sides. So, we can write an equation to represent the problem:

Perimeter = 2 × length + 2 × width

Substituting the expressions for length and width, we get:

27 = 2(x) + 2(2x + 3)

27 = 2x + 4x + 6

27 = 6x + 6

21 = 6x

x = 3.5

So, the length of one side of the rectangle is 3.5 yards. The other side of the rectangle is 2(3.5) + 3 = 10 yards.

Therefore, the length of the longer side is 10 yards.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ2

so like can someone help me with this test

Answers

Answer:
(2x+1)(3x+5)

explanation:

The volume of a block is 90cm and its density is 4 g.what is the mass

Answers

Answer:

Density, mass and volume are all related by the definition of density, which is ... The volume of a sphere is 4/3πr3, so if the rock has a radius of 10 inches, its ... The density of mercury is 13.6 g/ml, so a volume of 1 ml has a mass of 13.6 grams. ... You can set your browser to block or alert you about these cookies, but some

Step-by-step explanation:

The polygons below are similar... please help I will mark you brainliest thank youuuu

Answers

Answer:

y=27 and x=9

Step-by-step explanation:

the ratio is 4 to 3

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