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
Fofino [41]
3 years ago
5

Two brothers each purchase a new pair of hiking boots and two canteens. The hiking

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer: 2(34) + 2c = 98

Step-by-step explanation:

C = cost of one canteen

2 pair of boots at $ 34 each plus 2 canteens at (c) each totals $98.

2(34) + 2c = 98

68 +2c = 98. Subtract 68 from both sides. 68 - 68 +2c = 98 -68

2c = 30. Divide both sides by 2.

2c/2 = 30/2

c = 15 so each canteen costs $15

Check: 2 ($34) + 2 ($15) = $98

$68 + $30 = $98

$98 = $98

2C = 98

You might be interested in
Consider the parabola r​(t)equalsleft angle at squared plus 1 comma t right angle​, for minusinfinityless thantless thaninfinity
kodGreya [7K]

Given:-   r(t)=< at^2+1,t>  ; -\infty < t< \infty , where a is any positive real number.

Consider the helix parabolic equation :  

                                              r(t)=< at^2+1,t>

now, take the derivatives we get;

                                            r{}'(t)=

As, we know that two vectors are orthogonal if their dot product is zero.

Here,  r(t) and r{}'(t)  are orthogonal i.e,   r\cdot r{}'=0

Therefore, we have ,

                                  < at^2+1,t>\cdot < 2at,1>=0

< at^2+1,t>\cdot < 2at,1>=

                                              =2a^2t^3+2at+t

2a^2t^3+2at+t=0

take t common in above equation we get,

t\cdot \left (2a^2t^2+2a+1\right )=0

⇒t=0 or 2a^2t^2+2a+1=0

To find the solution for t;

take 2a^2t^2+2a+1=0

The numberD = b^2 -4ac determined from the coefficients of the equation ax^2 + bx + c = 0.

The determinant D=0-4(2a^2)(2a+1)=-8a^2\cdot(2a+1)

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola  r(t)=< at^2+1,t> i.e <1,0>




                                               




6 0
3 years ago
A new lawn has a perimeter of 278ft. And a width of 64ft. A bag of grass seed will cover 384ft of ground. How many bags of grass
Anit [1.1K]

Answer:

13 bags

Step-by-step explanation:

Area of the lawn: A=lw

w= 64 ft

P= 2(l+w)= 278 ft ⇒

  • l= 278/2- 64= 75 ft
  • A= 64*75= 4800 ft²

bags of seed required:

  • 4800/384= 12.5 so 13  full bags needed
7 0
3 years ago
Find two numbers between 3.456 and 3.457
kow [346]

Answer:

3.4567

3.4568

Step-by-step explanation:

We need to find a number between 3.456 and 3.457. In order to do so, we need to dive deeper into the decimal to get numbers in-between.

We need to dive to the ten-thousandths place to get numbers between the two.

6 0
3 years ago
Write 800 as the product of its prime factors.
Alex_Xolod [135]
800|2
800|2
400|2
200|2
100|2
50|2
25|5
5|5
1

800=2^5\cdot5^2


8 0
3 years ago
Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract
anyanavicka [17]

Answer:

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8

Step-by-step explanation:

The sum you are trying to understand is this.

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}

Remember that in general when you have a geometric series  

\sum\limits_{n = 0}^{\infty} a*r^n you have that

\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}      and that equality is true as long as     |r| < 1.

Therefore here we have

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n        and   \big|\frac{-1}{15} \big| = \frac{1}{15} < 1

Therefore we can use the formula and

\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n =  \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16  = 15/8

5 0
2 years ago
Other questions:
  • 2/3 -4x + 7/2 = -9x + 5/6
    10·1 answer
  • In designing an experiment involving a treatment applied to 4 test subjects, researchers plan to use a simple random sample of 4
    5·1 answer
  • What is the answer to 27+5×6
    9·1 answer
  • Sean is helping his dad build a tiled walkway in their backyard. The walkway will be 60 feet long and 2 feet wide. The local har
    7·1 answer
  • 4.96X 10^6 = (x) (2x + 0.570)^2​
    5·2 answers
  • Solve for y* w + py = e
    10·1 answer
  • Please help
    13·1 answer
  • Common Tangents and AAA theorems
    8·1 answer
  • What is the constant term this equation
    9·1 answer
  • 20. Which expression is equal to 3(5x - 6) - 2(4x + 5)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!