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
adell [148]
3 years ago
15

A wooden board 100 centimeters long is cut into two pieces.One piece is 16 centimeters longer than the other. What are the lengt

hs of the two pieces?
Mathematics
2 answers:
8090 [49]3 years ago
4 0
Legnth are x and y
x+y=100

one is 16 more than other
x is 16 more than y
x=16+y

x=16+y therefor we can put 16+y for x
(16+y)+y=100
16+y+y=100
16+2y=100
minus 16 both sides
2y=84
divide by 2
y=42

sub back
x=16+y
x=16+42
x=58


the legnsh are
42 cm and 58cm

umka2103 [35]3 years ago
3 0
One piece is 66 cm and the other piece is 34 cm
You might be interested in
What is the product?
Brut [27]

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

3 0
2 years ago
Find the gcf of each pair of number 24 and 56
pshichka [43]
8is the correct answer
6 0
3 years ago
Given: BD is a diameter<br> m 1 = 100°<br> m BC= 30°<br><br> m ADB=<br><br> 160<br> 280<br> 330
Alex

Answer:

280

Step-by-step explanation:

<1=100 <4=150 <3=30

mADB=100+150+30=280

6 0
2 years ago
Read 2 more answers
a ski chalet offers 2 weekend packages. one package provides 2 nights and 3 meals for$280. the other provides 2 nights and 5 mea
Helga [31]


<span> <span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>

    <span><span>2n = -3m + 280
</span>      </span><span>n = -3/2 m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>

 <span><span>2n = -5m + 320
</span> </span><span>n = -5/2m + 160
</span><span><span> so now you have

</span>-3/2m + 140 = -5/2m + 160 </span>

<span><span>Rearrange to become:
</span> </span><span><span>-3/2m + 5/2m = 160 - 140
</span> </span><span>m = 20
</span><span>
</span>

<span>Now place 20 into the very 1st</span><span><span> equation in place of the letter m
</span> </span><span><span>2n + 3(20) = 280
</span> </span><span><span>2n + 60 = 280
</span> </span><span><span>2n = 220
</span> </span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>


8 0
3 years ago
Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8
drek231 [11]

Answer:

95% Confidence interval:  (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, \bar{x} = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)

(96.06,103.94) is the 95% confidence interval for  the population mean test score.

8 0
3 years ago
Other questions:
  • Explain the answer boy step <br> -7x-3x+2=-8x-8<br><br><br><br> -8-x=x-4x
    6·1 answer
  • HELLO PLEASE HELP ME LAST ONE PLEASE. THANK YOU GIVE YOU A GOOD POINTS OR MARK AS BRAINLIEST
    9·2 answers
  • Please help me on Probability
    9·2 answers
  • A cracker company wants to make a rectangular box to hold their crackers. They want the volume of the box to be approximately 15
    7·1 answer
  • The general term of an arithmetic sequence is tn = 32 + 3n, where n ∈N and n ≥ 1. The sequence is
    5·1 answer
  • Trigonometry help please
    11·1 answer
  • During a tropical storm, the temperature decreased from 84° to 63º. Find the percent decrease in temperature during the storm. (
    15·1 answer
  • Which of the ratios below is equivalent to 3:5? Select all that apply.
    14·1 answer
  • What is the coefficient of the first time in 6x^7-5x^3+9x^2-1
    15·1 answer
  • 4. Lin runs 4 laps around a track in 9 minutes at a constant speed.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!