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aniked [119]
3 years ago
11

2) Jacob's school is selling tickets to the annual dance competition. On the first day of ticket sales

Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

7x+4y=112

5x+4y=96

The answer for adult is 8 and 16 for children

Step-by-step explanation:

Hope this helps!

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Write an equation of the line that passes through (5, −1) and is perpendicular to the line y=12x−1.
Lisa [10]

Step-by-step explanation:

solution

let,A(5,-1)

given

y=12x-1

or, y = 12 × x + (-1)

comparing it with y=mx+c

we get

x=1

y = c = -1

now

A(5,-1) and B(1,-1)

equation of line is,

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

or, (y+1)/(x-5) = (-1+1)/(1-5)

or, (y+1)/(x-5) = 0/-4

cross multiply

-4y-4 = 0

or, 0=4y+4

or, 4y+4=0 is the required eqn

I think this is the process and answer too.

I hope this helps you

4 0
3 years ago
Mark has a window that is 67 square feet. The window is in the shape of a square, which of the following expresses the length of
Scorpion4ik [409]

Answer:

\sqrt{67}\:\mathrm{feet}

Step-by-step explanation:

The area of a square with side length s is given by s^2.

Therefore,

s^2=67,\\s=\fbox{$\sqrt{67}$}.

8 0
3 years ago
A sample of a radioactive substance decayed to 97% of its original amount after a year. (Round your answers to two decimal place
Alborosie

Answer:

23 years

Step-by-step explanation:

Step 1: Calculate the rate constant (k) for the radioactive decay

A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.

ln [A]/[A]₀  = - k.t

k = ln [A]/[A]₀ / -t

k = ln 0.97 [A]₀/[A]₀ / -1 year

k = 0.03 year⁻¹

Step 2: Calculate the half-life of the substance

We will use the following expression.

t_{1/2} = ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years

4 0
3 years ago
Find the LCM (least common multiple) of 25 and 35.<br><br> LCM =
Paladinen [302]
  • <em>Answer:</em>

<em>175</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>25 = 5²</em>

<em>35 = 5×7</em>

<em>Lcm = multiply together each of the prime numbers with the highest power</em>

<em>Lcm(25 ; 35) = 5²×7 = 25×7 = 175</em>

<em>Good luck !</em>

5 0
4 years ago
Which is not an improper fraction equal to 8?
Aleonysh [2.5K]
<span>There are many improper fraction equal to eight, they include: 8/1, 16/2, 24/3, 32/4, 40/5, 48/6, 56/7, 64/8, 72/9 etc.When a multiple of eight is divided by the other factor with with when multiplied to eight gives the multiple, the result will be eight.</span>
7 0
4 years ago
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