You know that a rope is no more than 100 feet long. You need to cut the rope into three pieces the second piece is to be three times as long as the first piece, and the third piece must be 18 feet long. What is the maximum length of the second piece?

Answers

Answer 1

Answer:

hi

Step-by-step explanation:

The rope is originally 100 ft. long. The first piece is 32 ft., leaving 100–32, or 68 ft.

Let n be the second piece, and n-30 be the third piece. Then:

n+n-30=68

2n=98

n=49

n-30=19

The second piece is 49 ft. long; the third piece is 19 ft. long ……..


Related Questions

A B C D ..........zzz

Answers

Answer:

QA = DU

yakno with the squiggly line over the equals sign

At what rate per annum compound
interest will N4000 amount to N5353
in 5 years?​

Answers

Answer: Just look it up on goo gle

Step-by-step explanation:

The rate per annum compound interest is approximately 11.5%.

To find the rate per annum compound interest, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A = the final amount (N5353 in this case)

P = the principal amount (N4000 in this case)

r = the annual interest rate (what we want to find)

n = the number of times interest is compounded per year (assuming once per year)

t = the number of years (5 years in this case)

Now, we can plug in the values:

[tex]N5353 = N4000(1 + r/1)^{1*5}[/tex]

Divide both sides by N4000:

[tex]1.33825 = (1 + r)^5[/tex]

Now, isolate (1 + r) by taking the fifth root of both sides:

[tex]1 + r = (1.33825)^{1/3}\\1 + r \approx 1.115[/tex]

Now, subtract 1 from both sides to find the interest rate (r):

r ≈ 1.115 - 1

r ≈ 0.115

Finally, convert the interest rate to a percentage:

r ≈ 0.115 * 100

r ≈ 11.5%

To know more about rate:

https://brainly.com/question/32398403

#SPJ2


How many cubic feet will it take to the
prism below?

A. 560 ft cubed
B. 480 ft cubed
C. 280 ft cubed
D. 210 ft cubed

Answers

Answer:

C. 280 ft cubed

Step-by-step explanation:

1/2x7x5x16=280

I need help on this part

Answers

Answer:

ang 4 = 60°

Step-by-step explanation:

ang 1 and ang 4 are Linear pair or supplementary angles.

ang 1 + ang 4 = 180

120° + ang 4 = 180° (Putting the value of ang 1)

ang 4 = 180° - 120°

ang 4 = 60°

Help please. Assignment due tonight.

Answers

Answer:

sin b

Step-by-step explanation:

Answer:

cos A

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

sine B = [tex]\frac{3}{5}[/tex]

cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos A = [tex]\frac{3}{5}[/tex]

find the number of terms in following algebraic expressions.​

Answers

Answer:

it needs time wait for 10 min.

Subtract the fractions. Simplify if possible. 3/4 - 1/4 - 2/4 =

Answers

This ones really easy. When the denominators are the same, all you have to do is subtract the numerators. So 3-1-2=0. Now put the denominator in: 0/4. But to simplify it, just 0.
Answer is 0

Nikki brought a patio set on sale for $480 the original price was 850 what is the rate of discount

Answers

Answer:

43.5%

Step-by-step explanation:

Substitute the original price of $850 and the sale price of $480 to find

amount of discount=850−480=370

Use the amount of discount, $370, to find the discount rate. Use the equation

amount of discount=discount rate×original price.

Rearrange the equation to solve for the unknown value.

discount rate=amount of discountoriginal price

Substitute in the known values and solve to find the discount rate.

370850=0.435=43.5%

Thus, the discount rate on the patio set was 43.5%.

determine the 1st term of the first 21 term of an arithmetic series if the sum of the three middle term is 126 and the sum of the three last terms is 288

Answers

Answer:

- 18

Step-by-step explanation:

arithmetic  sequences are in form:

a(n)=a(o)+d(n-1)

sum are in form:

s(n)=[a(0)+a(n)](n/2)

three middle terms is:

10th, 11th, 12th term

How to think: 21 = 10+1+10 --> middle 3 is 10,11,12

sum of these 3 terms:

a(10)+a(11)+a(12)

=a(o)+9d+a(0)+10d+a(0)+11d

=3a(0)+30d=126

a(0)+10d=42 ......(equation 1)

Last three terms is:

19th, 20th, 21th

a(19)+a(20)+a(21)

=a(0)+18d+a(0)+19d+a(0)+20d

=3a(0)+57d=288

a(0)+19d=96 ......(equation 2)

now you have

a(0)+10d=42 ......(equation 1)

a(0)+19d=96 ......(equation 2)

solve and gives

d=6

a(0)= -18

Describe the slope of the line.
The slope is
Find the slope.
m =
step by step explanation

Answers

Answer:

The slope is POSITIVE.  

The line has a slope of positive 4/3

Step-by-step explanation:

It rises 4 then runs 3.

Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2

Answers

Answer:

Total surface area = 340 cm²

Step-by-step explanation:

Surface area of the given prism = Area of two bases + Area of its lateral surfaces

Area of pentagonal base = [tex]\frac{1}{2}(\text{Apothem)}(\text{Perimeter})[/tex]

                                          = [tex]\frac{1}{2}(3.6)(5\times 5)[/tex]

                                          = 45 cm²

Area of the lateral sides of the prism = Perimeter of the pentagonal base × height

= (5×5)×10

= 250 cm²

Total surface area of the prism = 2(45) + 250

                                                     = 90 + 250

                                                     = 340 cm²

Please explain in words.

Answers

Answer:

No

Step-by-step explanation:

When you are adding a positive by a negative, simply subtract and take the sign of the larger number.

3. Three model greenhouses are shown below. They are made by covering the tops and sides of a wood frame with plastic. The bottom of the green house is not covered with plastic. Of the three models, which has the greatest amount of plastic needed to make it and which has the least amount of plastic needed? 3 ft ) 5 ft 5 ft 5 ft 3111/ 8 ft 6 ft 6 it 8 ft 8 ft 6 ft 8 ft Model A 12 ft Model B 10 ft Model C​

Answers

Answer:

New Materials Have Made Greenhouses Less ... In our garden, we recently had a major ... Besides the trends mentioned above, there are many ... Since seasonal rains will not reach your greenhouse plants, you need to ... Glass and clear plastic function in basically the ...

Step-by-step explanation:

the sumof the present ages of a father and his son is 60 years. 6years ago, the father's age was 5 times the age of his son.after 6 years, how old will the son be?​

Answers

Answer:

20 years

Step-by-step explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

I hope this helps a little bit.

A boat traveled one hundred fifty feet in 9.7 seconds. How far would the boat travel in one minute thirty seconds?

Answers

Answer:

40250

Step-by-step explanation:

You have to just basically multiply 9.7x50 and that’s your answer I think .

I need help with this question !!​

Answers

Answer:

Step-by-step explanation:

Yes, A-A-A

Thinking about the table...Why does this
table start at zero? Why aren't there any
negative numbers in the DOMAIN?

Answers

Answer:

Why does this table start at zero?

The vertical axis on trending charts should almost always start at zero. The reason it's almost always is because you may have trending data that contains negative values or fractions. In those situations, it's generally best to keep Excel's default scaling.

Why aren't there any negative numbers in the DOMAIN?

There are no domain restrictions, even though there is a variable under the radical. Since , can never be negative. The least it can be is , so there is no danger of taking the square root of a negative number.

Step-by-step explanation:

Hope it is helpful....

Reflect the figure across the y- axis, then state the ordered pairs of the image.

May someone please explain how I would reflect it?

Answers

B’ (3, 2)
R’ (2, -3)
X’ (-2, 0)
Z’ (-2, -2)

EXPLANATION:
Reflecting a figure across the y-axis basically means flipping all of the x-values of your coordinates while retaining its y-value.
In other words, flip the signs of x and keep y the exact same for each coordinate.
B (-3, 2)
=
B’ (3, 2)

geometry proofs help please

Answers

Answer:

trust your instincts

Step-by-step explanation:

I can not interfere with your destiny you will need to decide your destiny

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 2 feet by 3 feet. What is the scale factor of this dilation? show work pls :(​

Answers

Answer:

6

Step-by-step explanation:

2 ft = 24in so 4 to 24 is times 6

3ft=36 in and 6 to 46 is times 6

Answer:

6/1

Step-by-step explanation:

2ft=24 inches

3ft=36 inches

poster/original photo

24in/4in=6/1

36in/6in=6/1

6/1

The angle measurements in the diagram are represented by the following expressions

Answers

Answer:

∠A is equal to 73°

Step-by-step explanation:

Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°

With that we can take the two equations at the top, and add them together for a sum of 180°:

6x - 35° + 3x + 53° = 180°

9x + 18° = 180°

x + 2° = 20°

x = 18°

Now that we have x, we can solve for ∠A:

∠A = 6x - 35°

∠A = 6(18°) - 35°

∠A = 108° - 35°

∠A = 73°

We can test our answer by solving for ∠B.  We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°.  Now let's solve for be given x and the original equation, and see if we have the right numbers:

∠B = 3x + 53°

∠B = 3(18°) + 53°

∠B = 54° + 53°

∠B = 107°

Which matches up, showing us that we have the correct answer.

Raina drinks 0.65 L of milk every day. How much milk does she drink in 9 days?
Write your answer in milliliters.

Answers

Answer: 5850 milliliters

Step-by-step explanation:

First, you have to do 0.65L x 9 days = 5.85L

And then you have to convert it to milliliters so:

5.85L= 5850 milliliters

Help ASAP!!!! Thanks

Answers

Answer:

No DB is not a perpendicular bisector of AC

Step-by-step explanation:

This is because as AC is a straight line it's angle degree is 180 which when bisected by DB becomes,

180 ÷ 2 = 90

On both the angles i.e <BDC = <NDA = 90°

To make it a perpendicular bisector but

<BDC is not equal to <NDA is not equal to 90°.

Hence, DB is not a perpendicular bisector of line AC.

How do I answer this ? (1 + 3x)º
44°

Answers

Answer:

132x+44

Step-by-step explanation:

(1+3x)(44)

=(1+3x)(44)

=(1)(44)+(3x)(44)

=44+132x

=132x+44

3/4 -5/8 in simplest form plz

Answers

C bc it’s c my dad left me help jk
It’s 1/8 that’s what I got

I just need the right answer with steps

Answers

Y -6 = 2(x+5)
y - 6 + 6 = 2x + 10 + 6
y = 2x + 16
So y = 2x + 16 is your answer

the length of a rectangle is represented by 3x-7 and the width by x+4. express the perimeter as a polynomial in simplest form

Answers

Answer: 8x - 6

Step-by-step explanation:

Perimeter is found by doing 2l + 2w

The length is 3x - 7 and width is x + 4

2(3x - 7) + 2(x + 4) =

6x - 14 + 2x + 8 =

8x - 6

The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)

Answers

Answer:

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.

Step-by-step explanation:

Confidence interval:

A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.

In this question:

Sample mean: 279.4 calls

Lower bound: 266.5 calls

Upper bound: x calls

Due to the symmetry of the confidence interval:

[tex]x - 279.4 = 279.4 - 266.5[/tex]

[tex]x = 12.9 + 279.4[/tex]

[tex]x = 292.3[/tex]

So

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.

whoever answers this correctly gets brainliest

Answers

Answer:

Democratic is the one that says the government should play an active role. Republican is the second choice (should be limited)

Answer: For the first, (goverment should play an active role in resolving social or economic issues) would be the Democratic Party.

And the Second (Government power should be limited and not used to resolve social or economic issues) is the republican.

Hello! May someone please help on this :)
I would probably give brainliest.

Answers

Answer:

theres 16 doughnuts

Step-by-step explanation:

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