Kathy stood on the middle rung of a ladder. She cimbed up 3 rungs, moved down 5 rungs, and then climbed up 9 rungs. Then she climbed up the remaining 2 rungs to the top of the ladder. How many rungs are there in the whole ladder?

Answers

Answer 1

Answer:

18 rungs

Step-by-step explanation:

Let x = number of rungs

x/2 = middle

Climbed 3

x/2 +3

Down 5  

x/2 +3 -5

Climbed 9

x/2 +3 -5+9

Then climbed 2 more

x/2 +3 -5+9 +2

Now is at the top

x/2 +3 -5+9 +2 =x

Combine like terms

x/2 +9 = x

Subtract x/2 from each side

x/2+9-x/2 = x - x/2

9 = x/2

Multiply each side by 2

18 =x


Related Questions

Chad has a rope that is 15 yards long. How many pieces of rope measuring 5/7 of a yard can he divide his rope into?
A. 28
B. 21
C. 35
D. 14

Answers

Answer:

Chad can divide his rope in 21 pieces. (Answer B)

Step-by-step explanation:

To solve we divide.

15 divided by 5/7 is what we need to know.

When dividing fractions it is the same thing as multiplying by the reciprocal (flipped version of the fraction).

[tex]15[/tex] ÷ [tex]\frac{5}{7}[/tex] = 15 × [tex]\frac{7}{5}[/tex]

[tex]\frac{15}{1}[/tex]  × [tex]\frac{7}{5}[/tex] = [tex]\frac{105}{5}[/tex]

[tex]\frac{105}{5}[/tex] = 21

Chad can divide his rope in 21 pieces.

Answer:

21 pieces

Step-by-step explanation:

Divide (5/7 yd / piece) into 15 yds:

   15 yds

----------------------- = 21 pieces

(5/7 yd / piece)

4x = -12? dgdgdgdgdgdg

Answers

Answer:

-3

Step-by-step explanation:

X=-12/4

X=-3

hope it helps

Answer:

-3

Step-by-step explanation:

4x= -12

4x/4 = -12/4

x = -3

how to write 403.225 in words and how do i get the answer. Thanks!!!!

Answers

Four-hundred three and two-hundred twenty five thousandths

The four is in the hundreds place and the three is in the ones so you pronounce it four-hundred three. The five is in the thousandths place and the second two is in the hundredths place so it’s pronounced two-hundred twenty five thousandths. And you always say “and” to represent your decimal.

What is the distance between T(9, −5) and the center of the circle with equation (x – 6)2 + (y + 1)2 =10?

Answers

Step-by-step explanation:

first, determine the coordinates values like x =9 and y=-5

so x-6 =3

A local grocery store charges for oranges
based on weight as shown in the graph below.
Find the price (dollars per kilogram) of
oranges at the grocery store.
dollars per kilogram

Answers

I think it would be 3 dollars because the 1 matches with the three.

Answer:

3 dollars

Step-by-step explanation:

Khan academy said so

HELPPPPP PLEASEEEE ASAPPPP WILL GIVE POINTS/BRAINLIEST

A function is shown in the table.

x g(x)
−3 17
−1 −3
0 −4
2 13

Which of the following is a true statement for this function? (5 points)

The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.

Answers

Answer:

2nd

Step-by-step explanation:

i know I don't have an exlanation'

2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method. ​

Answers

Answer:

The zeros are 1 and 2

Step-by-step explanation:

Given

[tex]y =x^2 - 3x + 2[/tex]

Required

The zeros

[tex]y =x^2 - 3x + 2[/tex]

Expand

[tex]y =x^2 - 2x-x + 2[/tex]

Factorize

[tex]y =x(x - 2)-1(x - 2)[/tex]

Factor out x - 2

[tex]y =(x - 1)(x - 2)[/tex]

Set to 0

[tex](x - 1)(x - 2)=0[/tex]

Solve for x

[tex]x - 1 = 0 \to x =1[/tex]

[tex]x - 2 = 0 \to x =2[/tex]

Hence, the zeros are 1 and 2

Please help please reply

Answers

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

[tex]\sqrt{225\\[/tex]

hypotenuse = 15

Jenny made 200 bracelets. She sold 64% of the bracelets at a craft fair.
a. How many bracelets did she sell?
b. How many bracelets were not sold?

Answers

Step-by-step explanation:

shslsfauahcaiscwrwpagw6wpwfwyw

Answer:

Jenny sold 128 braclets. 72 bracelets weren't sold.

Step-by-step explanation:

IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.

a) How many bracelets did she sell?

Using the formula that is shown above, I can conclude that 64%=64/100=32/50=16/25

Jenny sold 64% of the 200 bracelets.

In mathematics, the word "of" means multiplication.

64% of 200 = 16/25 * 200 = 128

Jenny sold 128 braclets.

to answer part 2, 200 bracelets - 128 bracelets = 72 bracelets.

72 bracelets weren't sold.

F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​

Answers

Step-by-step explanation:

Given:

[tex]\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}[/tex]

This field will have a scalar potential [tex]\varphi[/tex] if it satisfies the condition [tex]\nabla \times \textbf{F}=0[/tex]. While the first x- and y- components of [tex]\nabla \times \textbf{F}[/tex] are satisfied, the z-component doesn't.

[tex](\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)[/tex]

[tex]\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0[/tex]

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector [tex]\vec{\textbf{r}}[/tex] as

[tex]\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}[/tex]

and its differential is

[tex]\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}[/tex]

The work done then is given by

[tex]\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})[/tex]

[tex]\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}[/tex]

[tex]= 422[/tex]

Help me plz I need to get a good score

Answers

Answer:

x+59 =180( sum of linear pair )

x=180-59

x=121

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.

1. 4
2. 1/4
3. -1/4
4. −4
Please help!!

Answers

Answer:

1. 4

Step-by-step explanation:

the slope of:

f(x) = 10/2=5

g(x) = 10/½=20

so, g(x) = f(4.x)

=> k = 4

the line below are parallel. If green line has a slope of 2/5 what is the slope of the red line? enter your answer as an integer or fraction in lowest terms

Answers

Answer:

if they are parallel it would almost be opposite but they would be negative instead of positive

Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the games to work on both devices with a standard aspect ratio and those with widescreen aspect ratios, the playable area of the games should have an aspect ratio of 3:2. This means that the width is equal to times the height. On one type of tablet, the playable area of the game on the screen is 54 square inches. Write and solve a system of equations to determine the dimensions of the playable area. A. The playable area has a width of 13.5 inches and a height of 9 inches. B. The playable area has a width of 6 inches and a height of 9 inches. C. The playable area has a width of 6 inches and a height of 4 inches. D. The playable area has a width of 9 inches and a height of 6 inches.

Answers

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

Answer:

D. The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

if the playable area is 54 and that such ratio of dimensions is 3:2

Then we are basically being asked to find the factor of ratios below that also multiply to get 54

54 = 9 x 6 and this is also a ratio of 3:2

As 3(3 + 2) = 54

and as width was asked first when ratio was given 3:2

The width therefore is 9 and the height is 6

So answer is D

MAKE SURE YOU ARE RIGHT ANSWER PLEASE I WILL PUT THE BRAINIEST ANSWER

FIND THE VOLUME OF THE SPHERE

Answers

Step-by-step explanation:

Formula:- 4/3*Pi*r^3

= 4/3*22/7*(1/2)^3

Please mark me as brainliest

QUESTION 1
Determine the work done by the force
F=31+] + k in moving an object through
displacement T = 7 -7 -K​

Answers

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let θ be the angle between the force vector F and the displacement vector r. The work W done by F in the direction of r is

W = F • r cos(θ)

The cosine of the angle between the vectors can be obtained from the dot product identity,

a • b = ||a|| ||b|| cos(θ)   ==>   cos(θ) = (a • b) / (||a|| ||b||)

so that

W = (F • r)² / (||F|| ||r||)

For instance, if F = 3i + j + k and r = 7i - 7j - k (which is my closest guess to the given vectors' components), then the work done by F along r is

W = ((3i + j + k) • (7i - 7j - k))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   W ≈ 5.12 J

(assuming F and r are measured in Newtons (N) and meters (m), respectively).


Can someone help me please

Answers

Answer:

n = -1

Step-by-step explanation:

n^2 + 5n + 1 = 3n

N^2 +2n +1 = 0       (subtract 3n from both sides)

(n+1)(n+1) = 0   (factor

n+1 =0; n= -1

n+1 = 0  ; n=-1

From families with four children a family is chosen at random. Let X be the number of boys in the family. Calculate and sketch the distribution function of X. Assume that in a four-child family all gender distributions (for example, BBBB, BBBB, BBBB, BBBB, etc.) are equally probable.

Answers

Solution :

Given :

X = the number of boys in a family of four children

Families having four children are chosen randomly.

The gender distribution in the four child family are equally probable.

Thus,

 X                P(X)                                          CDF

0             [tex]^4C_0 (1/2)^{4}[/tex]        = 1/16                     [tex]\frac{1}{16}[/tex]

1               [tex]^4C_1 (1/2)^{4}[/tex]       = 1/4                       [tex]\frac{5}{16}[/tex]

2                [tex]^4C_2 (1/2)^{4}[/tex]      = 3/8                      [tex]\frac{11}{16}[/tex]

3                [tex]^4C_3 (1/2)^{4}[/tex]      = 1/4                       [tex]\frac{15}{16}[/tex]

4                  [tex]^4C_4 (1/2)^{4}[/tex]    = 1/16                      1

Using the diagram below, which of the following parts of the triangles are
congruent?

Answers

9514 1404 393

Answer:

  B.  ∠A ≅ ∠E

Step-by-step explanation:

The similarity statement tells you the corresponding angles are ...

  ΔCAB ~ ΔCED

  ∠C ≅ ∠C . . . . listed first in the similarity statement

  ∠A ≅ ∠E . . . . listed second in the similarity statement

  ∠B ≅ ∠D . . . . listed third in the similarity statement

The relationship between angles A and E is properly shown in answer choice B.

A factory produces 2985 bulbs in a day. how many bulbs did it produce in that year.

Answers

Answer:

1089525

Step-by-step explanation:

2985 is per day of bulbs and a year has 365 days

so we multiply bulbs by day and days in a year

which will give us 1089525

1 year = 365 days
Factory produces 2985 bulbs - 1 day
-> 365 x 2985 = 1089525 bulbs a year
If 1 year = 366 days
-> 366 x 2985 = 1092510 bulbs a year

Which of the following correctly describes the symmetry of the cubic parent
function?
^
A. It is symmetric about the x-axis.
B. It is symmetric about the y-axis.
C. It is symmetric about the origin.
D. It is not symmetric about any point or line.

Answers

The statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

What is the symmetry of the function about the X-axis?

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (a, -b) "

What is the symmetry of the function about the Y-axis?

"The graph of the function is said to be symmetric about Y-axis if whenever (a, b) is on the graph then so is (-a, b) "

What is the symmetry of the function about the origin?

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (-a, -b) "

For given question,

The parent cubic function is [tex]f(x)=x^3[/tex]

The graph of the function  [tex]f(x)=x^3[/tex] is as shown below.

From graph we can observe that, point (x, y) as well as (-x, -y) is on the graph.

This means, the graph of  the function  [tex]f(x)=x^3[/tex] is symmetric about the origin.

Therefore, the statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

Learn more about the symmetry of the function here:

https://brainly.com/question/11957987

#SPJ3

Can somebody help me out please

Answers

Answer:

Brainly's honor code doesn't allow quiz questions to be posted.

"Students are never allowed 2 post questions directly from tests, quizzes, and assessments, or copy answers found on Brainly during tests, quizzes, and assessments."

b) 0.00169
(2 mks)
Lower limit =
Upper limit​

Answers

Answer:

Top bound = 0.001695

Lower bound = 0.001685

Step-by-step explanation:

The number given is 0.00169

Now, this is in 5 decimal places.

So, the lower bound will be;

0.00169 - 0.000005 = 0.001685

Thus is because rounding 0.001685 will give 0.0169

But for the top bound, we will add 0.000005 to the number;

Thus;

0.00169 + 0.000005 = 0.001695

Write the equation of the circle with center C(-5,8) and radius = 7

Answers

Answer:

( h + 5 )^2 + ( y - 8 ) ^2 = 49

Step-by-step explanation:

Equation of a circle:

( x - h )^2 + ( y - k )^2 = r^2

Where ( h , k ) = center and r = radius

We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8

We are also given that the circle has a radius of 7 meaning that r = 7

Now that we have identified each variable we plug the values into the equation

( h - (-5)^2 + ( y - 8 )^2 = 7^2

Our final step is to simplify

we get that the equation of the circle is

( h + 5 )^2 + ( y - 8 ) ^2 = 49

By the way ^ means exponent

If you have consistently been exercising during the school year but then take the
summer off, once school starts again your fitness level will be exactly the same as it
was before the summer.

A.
True
B.
False

1
SEE ANSWER⇒

Answers

Answer:

Step-by-step explanation:

B

add negative 4 plus negative 6​

Answers

-10

thats it, thats what i know

Help plz ??

This is really urgent. If anyone knows the answer plz plz help me

Answers

Answer:

A

because range is all values of Y but in negative side it is infinity but in positive side range is 4

PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.

A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13

Answers

Answer:

D. my answer for your question

- 10 + x < - 2 what is the solution of the inequality shown below

Answers

Answer:

x<8

Step-by-step explanation:

The height of a square pyramid where the lateral area equals 240 cm sq. and the edges of the base are 12cm

Answers

Answer:

The height is 8cm

Step-by-step explanation:

Given

[tex]L_A = 240cm^2[/tex] --- lateral area

[tex]a = 12cm[/tex] --- base lengths

Required

The height of the pyramid

The lateral area of a square pyramid is:

[tex]L_A = a\sqrt{a^2 + 4h^2[/tex]

So, we have:

[tex]240 = 12\sqrt{12^2 + 4h^2[/tex]

[tex]240 = 12\sqrt{144 + 4h^2[/tex]

Divide both sides by 12

[tex]20 = \sqrt{144 + 4h^2[/tex]

Square both sides

[tex]400 = 144 + 4h^2[/tex]

Collect like terms

[tex]4h^2 = 400 - 144[/tex]

[tex]4h^2 = 256[/tex]

Divide by 4

[tex]h^2 = 64[/tex]

Take square roots

[tex]h = 8[/tex]

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