1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trapecia [35]
2 years ago
12

A stick 111 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?

Mathematics
2 answers:
oksian1 [2.3K]2 years ago
8 0

<u>Answer</u>:

The length of the short part is 37 inches, and the length of the other part is 74 inches.

<u>Step-by-step explanation:</u>

Given:

Total length of the stick =  111 inches.

One piece is twice as long as the other.

To Find:

Length of the two pieces=?

Solution:

Let the length of one piece be n,

Then the other piece will be 2n.

Now, total length of stick = n + 2n

=>111 inches = 2n + n

=>111 = 3n

=>n =\frac{111}{3}

So, length of short path is 37 inches,

Then length of other part is

=> 2(n)

=>2(37)

=> 74 inches.

Hence, the length of the short part is 37 inches, and the length of the other part is 74 inches.

Makovka662 [10]2 years ago
3 0
Let’s say that the other one is described as X. So if one piece is twice as long as the other one, it’ll be 2x.

2x + X =111
3x = 111
3x divided by 3= 111 divided by 3
X= 37

So 2x = 2(37) = 74
X = 37

74
+ 37
————
111
You might be interested in
The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on re
MaRussiya [10]

Answer:

\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90

Step-by-step explanation:

Given claim : From the time shoots are planted 90 days on average are required to obtain the first berry.

. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed.

As we know that the null hypotheses shows there is no statistical difference between the groups but the alternative hypothesis is opposite to it, it shows there is difference.

Thus , the correct hypotheses will be :-

\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90

3 0
3 years ago
Please help help me please ASAP I am begging someone please <br> No links or files
NeTakaya

Answer:

1. b

2. e

3. a

4. f

5. g

Step-by-step explanation:

hope this helps

7 0
2 years ago
What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
What is 2/3÷-3/5 as an improper fraction
rodikova [14]

Answer: -10/9

Step-by-step explanation: is this what you were looking for

8 0
3 years ago
PLEASE HELP!
Paul [167]

Step-by-step explanation:

coefficient=w

variable=w

result=

32=w-4

w=4+32

w=36

constant=32,4

8 0
2 years ago
Other questions:
  • $769 borrowed at 5% for 13 months
    11·1 answer
  • BRAINLIESSSTTT!!!
    15·2 answers
  • A computer programmer charges $45 an hour for a coding projects plus a start-up fee of $150.
    13·1 answer
  • The area is 7, the width is 2 2/9 what is the length?
    6·1 answer
  • the values in the table represent a linear function. what is the common difference of the arithmetic sequence x: 1 2 3 4 5 y: 11
    7·2 answers
  • Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
    12·1 answer
  • Image down below thx option d is in the back it is 9
    13·2 answers
  • The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
    15·1 answer
  • ASAP ILL GIVE BRAINLIEST IF UR RIGHT!!! The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of
    6·2 answers
  • In a bag, there are three red marbles, four blue marbles, two yellow marbles and three black marbles. What is the probability of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!