If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be? If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be

Answers

Answer 1

Answer:

24feet

Step-by-step explanation:

the first rope well give it letter X and the longer rope we'll give it 2x since it's twice then we add the two unknown numbers which must lead to a total of 36feet when we add the unknown digits we'll get 3x then simply the unknown digit with the total and u'll get 12 replace the X from the first letters with 12by multiplying


Related Questions

The width of a rectangle measures (7k-2m)(7k−2m) centimeters, and its length measures (5k-m)(5k−m) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

[tex]P = 24k-6m[/tex]

Step-by-step explanation:

The correct expressions are:

[tex]W = 7k - 2m[/tex]

[tex]L = 5k - m[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 *(L + W)[/tex]

So, we have:

[tex]P = 2 *(5k - m + 7k -2m)[/tex]

Collect like terms

[tex]P = 2 *(5k + 7k- m -2m)[/tex]

[tex]P = 2 *(12k-3m)[/tex]

Open bracket

[tex]P = 24k-6m[/tex]

Which of the following is equal to -18

Answers

Step-by-step explanation:

9i√2

-18

so therefore the answer is 9i√2

what is the length, in units, of CD.


As you can see in the image I already got it correct but I kind of guessed. I want to know how to properly solve this without using sin, cos, and tangent functions since this unit has not yet covered those nor are we supposed to know them.​

Answers

Answer:

I hope D option is write

I hope you help

Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?
a) 0.20
b) 0.50
c) 0.62
d) 0.13
e) 0.63
f) None of the above

Answers

Answer:  0.50, which is choice b

Explanation:

The interval [tex]1 \le x \le 5[/tex] covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

Combine the expressions below

4x+(-2x)+6+(-9)

Answers

=4x-2x=2x

=6-9=-3

=2x-3

Which is the graph of the following inequality

Answers

Answer:

graph a is the correct answer

Step-by-step explanation:

Determine whether the point (4,2) is in the solution set of the system of inequalities below. 4x + y < 2 y > –2

Answers

Answer:

False

Step-by-step explanation:

4x + y < 2

y > –2

Substitute the point into the inequalities and see if they are true

4(4) + 2 < 2

16+2 < 2

18 <2  False

2 > –2  True

Since one is false the point is not a solution

Two parallel lines are cut by a transversal. What is the measure of 1​

Answers

Both lines are parallel so using the bottom line you are given angle 7 as being 80 degrees. Angle 5 and 7 form a straight line which is 180 degrees so angle 5 would be 180-80 = 100 degrees.

Angle 1 is the same as angle 5 so angle 1 is 100 degrees.

Answer: 100 degrees

Answer:

B. 100°

Step-by-step explanation:

Angles 1 and 5 are corresponding angles and congruent.

Angles 5 and 7 are a linear pair and supplementary angles, so their measures add to 180°.

m<5 + m<7 = 180°

m<5 + 80° = 180°

m<5 = 100°

m>1 = m<5

m<1 = 100°

What is the least common denominator that will allow you to combine the constant terms? 10 21 35 or 42

Answers

Answer:

[tex]LCM = 21[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{5}y + \frac{1}{7}= \frac{1}{3}y -\frac{2}{3}[/tex]

Required

LCM of the constant terms

Collect like terms

[tex]\frac{1}{3}y+\frac{3}{5}y = \frac{1}{7}+\frac{2}{3}[/tex]

The constant terms are on the right-hand side

To combine them, we simply take the LCM of the denominator, i.e. 7 and 3

The prime factorization of 3 and 7 are:

[tex]3 = 3[/tex]

[tex]7 = 7[/tex]

So:

[tex]LCM = 3 * 7[/tex]

[tex]LCM = 21[/tex]

Coefficient of y in the equation: 3(2x -1/3y) = 0 is equal to a) 3 b) 1 c)-3 d)-1

Answers

Answer:

d is the right answer because the coefficient of y is 3*(-1/3) which results -1 so d is the right answer

The coefficient of y in the given equation is 1. Therefore, option B is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3(2x -1/3y)=0.

Now, 6x-1/y=0

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Here, coefficient of y is 1.

Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

The sum of two integers is 90 and their difference is 30. Find the larger number

Answers

Answer:

60 is the larger number

Step-by-step explanation:

Let the two numbers be a and y

x+y = 90

x-y = 30

Add the two equations together

x+y = 90

x-y = 30

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

2x = 120

Divide by 2

2x/2 =120/2

x = 60

x+y =90

60+y = 90

y = 90-60

y = 30

The numbers are 60 and 30

A sofa regularly sells for $760. The sale price is $676.40. Find the percent decrease of the sale price from the regular price.

Answers

Answer: (760 - 676. 40) × 100 ÷ 760 = 11%

Step-by-step explanation:

Answer:

11% decrease

Step-by-step explanation:

Concepts:

Percent change is the change between an old value and its new value represented as a %. If a percent change is a decrease, it means that the new value is less than the old value. If a percent change is a increase, it means that the old value is less than the new value. The formula for percent change is: (NV - OV)/OV · 100 = C, where NV = New Value, OV = Old Value, and C = Percent Change.The sale price is the price at which something sells or sold after the price has been reduced by sales, discounts, etc.

Solving:

Let's find the percent change by using the formula.

1. Formula for Percent Change

(NV - OV)/OV · 100 = C

2. Plug in the values of NV and OV

(676.40 - 760)/760 · 100 = C

3. Simplify

-83.6/760 · 100 = C-0.11 · 100 = C-11 = C

Therefore, our percent decrease is 11% decrease.

!!! I need help with this question !!! I tried using the standard deviation formula but my answers are wrong. Can someone please help me! Thank you for your help!

Answers

Answer:

Step-by-step explanation:

The mortgage on your new house is $180,000. Your monthly mortgage payment is $839 for 30 years. How much interest will be paid if the house is kept for the full 30 years?

Answers

9514 1404 393

Answer:

  $122,040

Step-by-step explanation:

The interest is the difference between the mortgage value and the total amount paid.

  ($839/mo)×(12 mo/yr)×(30 yr) -180,000 = $302,400 -180,000 = $122,040

$122,040 will be paid in interest.

Which of the following is graphed below?

Answers

The correct answer is A



Each pizza shown is broken up into different sized slices, but they are all equivalent.
Come up with another ratio of pizza slices that is equivalent to all of these pizzas.

Answers

12/24
hope this helps as the denominator is divisible by the ones from the question

Find the exact value of the logarithm without using a calculator.

Answers

Answer:

1/11

Step-by-step explanation:

We are asked to find the natural log of

[tex] \sqrt[11]{e} [/tex]

Convert to fractional exponent

[tex] ln(e {}^{ \frac{1}{11} } ) [/tex]

Apply Log of Power rule

[tex] \frac{1}{11} ln(e) [/tex]

Natural log of e is 1 so

[tex] \frac{1}{11} \times 1 = \frac{1}{11} [/tex]

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

First, remember that the ln function is just a log function with a base of e. Here's how it looks

[tex]ln(x) =log_{e}(x)[/tex]

[tex]ln(\sqrt[11]{e} ) = log_{e}(\sqrt[11]{e} )[/tex]

We can take this one step further if we realize that we can rewrite the square root as a simple power to a fraction!

[tex]log_{e}(e^{\frac{1}{11} } )[/tex]

Solving the equation above is really simple. All that function is really saying is can we raise e to some number, where the result would be e^(1/11)? In other words find x.

[tex]e^{x} = e^{\frac{1}{11} }[/tex]

Well x has to be 1/11 in that case. And that ends up being our final answer.

[tex]log_{e}(e^{\frac{1}{11} } ) = \frac{1}{11}[/tex]

Dutchess County, New York, has been experiencing a mean of 35.4 motor vehicle deaths each year. If D = the number of vehicle deaths in Dutchess County in a year, what is the distribution for D (Binomial or Poisson) Explain.​

Answers

Answer:

Poisson, as we have the mean number and not a proportion.

Step-by-step explanation:

We have the mean number of vehicle deaths per year, thus, since it is a mean and not a proportion, we use the Poisson distribution.

If we were working with the proportion of accidents that end in death for example, or any other proportion, it would be a binomial random variable.

A runner is traveling at a constant rate of 8 meters per second. How long does it take for the runner to travel 100 meters? Now before you answer this I know it's 12.5! What I need help with is creating a equation that gives the distance, d, that the person has run if you know the amount of time, t, they have been running. Thank you! :)

Answers

Answer:

see below

Step-by-step explanation:

We know that distance = rate * time

100 meters = 8 m/s * time

100 = 8t

Divide each side by 8

100/8 = 8t/8

12.5 = t

If we know the rate and the time, we can find the distance

d = rt

please help me its timed -H.M​

Answers

Answer:

f(3) = g(3)

General Formulas and Concepts:

Algebra I

Functions

Function NotationGraphing

Step-by-step explanation:

We can see from the graph that the lines intersect at (3, 6). If this is the case, then that means that when x = 3 for both functions, it outputs f(x) = 6.

Rewriting this in terms of function notation:

f(3) = 6, g(3) = 6

∴ f(3) = g(3)

Leah is looking to take out a 30-year mortgage from a bank offering a monthly interest rate of 0.325% Using the formula below, determine the maximum amount Leah can borrow, to the nearest dollar, if the highest monthly payment she can afford is $900.
M=Pr/(1-(1+r)^-n)
M= the monthly payment
P= the amount owed
r= the interest rate per month
n= the number of payments

Answers

Answer:

[tex]P=\$276646.153[/tex]

Step-by-step explanation:

Time [tex]T=30years[/tex]

Rate [tex]r=0.325\%[/tex]

Payment per month [tex]P=\$ 900[/tex]

Generally the equation for Principle  is mathematically given by

[tex]M=\frac{P r}{1-(1+r)^{-n}}[/tex]

[tex]900=\frac{P \frac{0.325}{100}}{1-(1+( \frac{0.325}{100}))^{- 30*12}}[/tex]

[tex]P=\frac{900*100*0.99}{0.325}[/tex]

[tex]P=\$276646.153[/tex]

JK=8x+6 KL=6x+20 find JL

Answers

Answer:

14x + 26

Step-by-step explanation:

JL = JK + KL

= 8x + 6 + 6x + 20

= 8x + 6x + 6 + 20

JL = 14x + 26

Find the mean for the data items

Answers

Answer:

4.5

Step-by-step explanation:

Given the data :

Score, x ____: 1, 2, 3, 4, 5, 6, 7, 8

Frequency, F : 1, 5, 1, 4, 4, 1, 5, 1

This is a grouped data: The mean of a grouped data is given as :

Mean (xbar) = ΣFx / ΣF

ΣFx = (1*1)+(2*5)+(3*1)+(4*4)+(5*4)+(6*1)+(7*5)+(8*1) = 99

ΣF = (1+5+1+4+4+1+5+1) = 22

Mean (xbar) = ΣFx / ΣF = 99 / 22 = 4.5

Help ASPPP!!!



Name a point that is represented on this graph. Use an ordered pair to give your answer. (Hint:
Look at the shaded region)

Answers

Answer:

(-5, -9)

Step-by-step explanation:

From the graph shown, the perfect ordered pair represented on the graph occurs when x = -5, y  = -9. Therefore the required coordinate could be (-5, -9)

Engineering
When p= 3, q. I and r. 2, the
expression 2p² q3 is equal to

Answers

Answer:

[tex]{ \tt{2 {p}^{2} {q}^{3} }} \\ = { \tt{ {2(3)}^{2} . {(1)}^{3} }} \\ = 18[/tex]

G. Find the ratio between a pen and pencil if ten pens cost $22.5 and a dozen pencils cost $18.​

Answers

Answer:

Cost ratio of pens:pencils  =   9 : 4

Step-by-step explanation:

Pen  : Pencil

10/10 : 12/12

22.5 / 10  : 18 / 12

2.25 :  1.5 cost per pen : pencil

HC of 0.25 and 0.5 is 8

8 x 2.25 = 18:

1.5 x 8 = 12

Then place them under their denominator x 10 x 12

pens = 18/10 = 1.8

pencils = 12/12 = 1

HC of 1.8 and 1 is  5

1.8 x 5 = 9

1 x 5 = 5

Answer = 9 : 4

I need help with this​

Answers

bing jhwwjwiwisisuwuwywywywfsfsahajai

The height of Mt.Whitney is approximately 14,490 feet. What is a rounded form of this number written in scientific notation?

Answers

The rounded form of 14,490 feet is 1.449*10 ^4 . You can use calculator for it

Solve the following equation. for x

7x - 2 < 10

Answers

Step-by-step explanation:

7x < 10+2

7x<12

x < 12/7

Hope this helps!

Answer:

[tex]7x-2<10[/tex][tex]7x-2+2<10+2[/tex][tex]7x<12[/tex][tex]\frac{7x}{7}<\frac{12}{7}[/tex][tex]x<\frac{12}{7}[/tex]

OAmalOHopeO

Which of the following is a geometric sequence where a1 = 4 and r = 3?
A) 4, 7, 10, 13, . . .
B) 3, 7, 11, 15, . . .
C) 4, 12, 36, 108, . . .
D) 3, 12, 48, 192, . . .

Answers

Answer:

C 4,12,36 108

Step-by-step explanation:

the answer is above.

Answer:

C

Step-by-step explanation:

G.P= a,ar,ar^2,ar^3,...,

a1=4

a2=4×3=12

a3=4×9=36

a4=4×27=108

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