A 220-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long

Answers

Answer 1

Answer:

let x be the length of the shorter piece.

4x + x= 210

x= 42.

4x= 168

The shorter piece is 42in and the long piece is 168 in.

Answer 2

The length of the shorter piece will be;

⇒ x = 44 inch

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A 220-inch pipe is cut into two pieces.

And, One piece is four times the length of the other.

Now,

Since,  One piece is four times the length of the other.

Let height of shorter piece = x

Then, The height of longer piece = 4x

Hence, We can formulate;

⇒ x + 4x = 220

Solve for x as;

⇒ 5x = 220

⇒ x = 220 / 5

⇒ x = 44

Thus, The length of the shorter piece will be;

⇒ x = 44 inch

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Related Questions

Find the exact length of the third side.
48
14

Answers

Answer:118

Step-by-step explanation:

It has to equal 180 degrees in total so 48+14=62

180-62=118

So the answer is 118

A study concluded that among people with a certain​ virus, 99.2​% of tests conducted were​ (correctly) positive, while for people without the​ virus, 97.9​% of the tests were​ (correctly) negative. If 32​% of patients actually carry the​ virus, what's the probability that a patient testing negative is truly free of the​ virus?

Answers

Answer:

Following are the solution to the question:

Step-by-step explanation:

The probability of virus  P(V) =0.32  

No virus  P(NV) =0.66

Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing

[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]

This is why the likelihood of a patient being free of the virus is negative.

[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]  

[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]

a grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16 which number could be the number of packages of flour tortillas the clerk put on the shelf?​

Answers

23 I think ya that sounds right

Answer:

1222222222

Step-by-step explanation:

Help please 25 Points + Brainliest
x=6 y=4 solve 3x^2y+4x/y

Answers

Answer:

114. There is something wrong with the options im 100% sure its 114 talk to your teacher.

The solution is just to substitute

8 + x/2 = -12 (8 + x divided by 2 = -12) *

Answers

Answer:

[tex]8 + \frac{1}{2} x = - 12 \\ 16 + x = - 24 \\ x = - 24 - 16 \\ x - 40[/tex]

Can you mark as BREINLEST

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Answers

Answer:

y=3x+2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

facts: slope is m, and b is y-intercept

y=3x+2

hope this helps!

Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?

Answers

Answer:

14.00x .15=2.10

14.00+2.10=16.10

Step-by-step explanation

$16.10

Please help! I will mark brainliest!

Answers

Answer:

C. 9.6ft

D. Angle M

Step-by-step explanation:

Height of smaller surfboard = [tex]\frac{12}{4}[/tex] × 3.2ft

                                              = 9.6ft

If you flip ABCD over, the positions of the angles that are corresponding to each other would be the same, so the angle that would correspond with Angle D would be Angle M since both would be at the top right.

Which statement is true?


1
3
(
n
+
3
)
=
1
3
n
+
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3

1
3
(
n
+
3
)
=
1
3
n
+
1

1 third times open paren n plus 3 close paren is equal to 1 third n plus 1

1
3
(
n
+
3
)
=
1
3
n
+
3
1
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third

1
3
(
n
+
3
)
=
1
3
n
+
4
3

Answers

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

Write in standard form.
4.57 x 106

Answers

Answer:

485.42

Step-by-step explanation:

multiply by using` long multiplication

please help me if you don’t know the answer, please don’t answer it.

Answers

Answer:

Step-by-step explanation:

(1/2)/3 = x/4

1/6=x/4

x=4/6 = 2/3

x = 4/6 = 2/3 is the answer, hope this helps!!

Solve.

x/2 + 8 = 14

x=

Answers

Answer: x=12

Explanation:

What is the equation of a line that has a slope of 2 and passes through point (-1, 7)?

Answers

Answer:

2x+9

Step-by-step explanation:

(-2,1); m = 5
Find the equation of the line

Answers

Here’s the correct answer, how I got it, and something to help you for next time :)

Multiple Choice.
What is the solution to the square root of -75 to the nearest integer?
A 9
bB. 8
C.-8
D. -9
MAXIMUM POINTS

Answers

Answer:

I belive it is 'A'  9

Step-by-step explanation:

because the square root is 8.66025404 so that rounded to the nearest integer would be 9

AP
Solve the absolute value inequality 2|x-7/2|+4>9 algebraically. Select the correct graph of the solution.

Answers

Answer:

x < 1 or x > 6

Step-by-step explanation:

Please help me please

Answers

C! Is the answer. Hope that helped! ((:

Find the quotient.
-245 - 35
a. -7
b. - 5
C. 5
d 7

Answers

a. -7 is your answer dear.

Step-by-step explanation:

Ur complete Question is like -245/35 = -7

-7 shshjsjahshajanbs

What is f(4) for the function f(x) = 7x + 6?
Please help asap

Answers

Answer:

f(4) for the function [tex]f(x) = 7x + 6[/tex] is [tex]\mathbf{f(4)=34}[/tex]

Step-by-step explanation:

We need to find f(4) for the function [tex]f(x) = 7x + 6[/tex]

For finding f(4) we will put x= 4 in the given function

[tex]f(x) = 7x + 6[/tex]

Put x = 4

[tex]f(4)=7(4)+6\\f(4)=28+6\\f(4)=34[/tex]

SO, f(4) for the function [tex]f(x) = 7x + 6[/tex] is [tex]\mathbf{f(4)=34}[/tex]

Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.

Answers

Answer:

$2304.5

Step-by-step explanation:

The balance after 8years=P(1+R/100)^t

=1000(1+11/100)^8

=$2304.5

How many students voted for each
participant?

Answers

Answer:

12 people voted for Matthew and 18 people voted for Diana.

Step-by-step explanation:

1. Multiply 30 by 0.4 to get 12.

2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.

bro sombody help me i am extremly not smart
and bad at math, thank you

Answers

Answer:

sure wuts ur question? I GOT IT

4 LBS

What’s the question then I’ll help lol


The balance in Alex's bank account is $675. The account
earns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756

Answers

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV[tex](1+r)^{nm}[/tex]

                     = 675[tex](1+0.06)^{(2*2)}[/tex]

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V of the tray in terms of x.

Answers

Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

Step-by-step explanation:

9v

The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.

She folds the remaining cardboard to make a tray that is x inch high

Now,

By the give condition we get;

Length of tray = 9 - 2x

Width of tray = 6 - 2x

Height of tray = x

So., The volume of the tray is expressed as;

Volume = x (9 - 2x) (6 - 2x)

             = x (54 - 18x - 12x + 4x²)

             = x (54 - 30x + 4x²)

             = 4x³ - 30x² + 54x

Thus, The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

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Which of the following statements is true?

a.
b.
c.
d.

Answers

Answer:

confused on what you are asking

Step-by-step explanation:

Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?

Answers

Step-by-step explanation:

Lets find out,shall we?

Simple interest=(PRT)/100

=$1000×12×3)/100

=$360

Now for compound interest

A=P(1+R/100)^t

A=$1000(1+12/100)^3

A=$1404.928

so interest for compound interest=$(1404.928-1000)=$404.928

Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.

Difference in interest=$404.928-360=$44.928

can someone help me please?

The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?

Strategy:

why did you choose this strategy:

Answers

Answer:  4368 square feet

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!

Answers

Answer:

B

Step-by-step explanation:

9x20=180

if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum​

Answers

formula p= 100 I/RT

100×1050÷7.5×4

105000÷30

p= sh 3500

the ratio of the number of knives to the number of forks on a table

Answers

Answer:

is this including an appatizer fork? if not, then it's 1/1 if it is then it's 1/2

Step-by-step explanation:

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