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posledela
3 years ago
8

A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Fi

nd the number of tourists if there are more than 25 and fewer than 45.
Mathematics
1 answer:
kolezko [41]3 years ago
7 0

Answer:

36

Step-by-step explanation:

First we need to write out some of the common multiples of 4 and 6.

12, 24, 36

The number 36 is between 25 and 45 so it is our answer

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Which line is perpendicular to the line 2x-3y=12
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i would need to know the answer choices

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3 years ago
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Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference eq
Ulleksa [173]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

The given equation is:

y_{k + 2} + 8y_{k +1} - 9y_{k} = 20k + 12..(1)

put,

y_k = k^2\\\\y_{k+2}=(k+2)^2\\\\y_{k+1}=(k+1)^2\\\\

(k+2)^2+8(K+1)^2-9k^2 = 20k+12\\\\=20k+12= 20K+12\\\\

hence y_k=k^2 is its solution.

Now,

\to y_{k+2}+ 8y_k + 1 - 9y_k = 20k + 12

the symbol form is:

(E^2+8E-9)_{yk}=20k+12

\to m^2+8m-9=0\\\\\to m^2+(9-1)m-9=0\\\\\to m^2+9m-m-9=0\\\\\to m(m+9)-(m+9)=0\\\\\to (m+9)(m-1)=0\\\\\to m=-9 \ \ \ \ \ \ \  m=1\\

The general solution is:

y_k =  c_1(-9)^k + c_2(`1)^k\\\\y_k =c_1(-9)^k+c_2

The complete solution is:

y_k=(y_k)_c+(y_k)_y\\\\y_k= c_1(-9)^k+c_2+k^2

The answer is option b: y_k = k^2 + c_1(-9)^k + c_2

After solve the complete solution is:

\bold{y_1=c_1(-9)^k+c_2+k^2.....}

5 0
3 years ago
Witch rate is equivalent to 72/9
satela [25.4K]

Answer:8

Step-by-step explanation:

72/9=8

7 0
3 years ago
THIS IS DUE IN 3 MINUTES HELPP!!!!
algol [13]

Answer:

C

Step-by-step explan:

I rlly hope this is right im sorry if its not.

3 0
3 years ago
Which equation could be solved using this application of the quadratic formula?
Alex_Xolod [135]

Answer:

C. x^2 + 2x - 1 = 3

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx + c = 0

We need to use the quadratic formula and the given expression to find the values of a, b, and c.

The quadratic formula is

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Where the formula has -b, the problem has -2, so b = 2.

Now we have

ax^2 + 2x + c = 0

In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.

Now we have

x^2 + 2x + c = 0

Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.

Now we have

x^2 + 2x - 4 = 0

Let's look at choice A.

x^2 + 1 = 2x - 3

Subtract 2x from both sides. Add 3 to both sides.

x^2 - 2x + 4 = 0   <em>This is not it!</em>

Let's look at choice B.

x^2 - 2x - 1 = 3

Subtract 3 from both sides.

x^2 - 2x - 4 = 0     <em>This is not it!</em>

Let's look at choice C.

x^2 + 2x - 1 = 3

Subtract 3 from both sides.

x^2 + 2x - 4 = 0     <em>This is it!</em>

Answer: C. x^2 + 2x - 1 = 3

8 0
3 years ago
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