MATHEMATICS COLLEGE

The sum of two numbers is 87. the difference of two numbers is 65 what are the two numbers

Answers

Answer 1
Answer:

Step-by-step explanation:

Letthe two numbers be x and y

By the question

x +y =87.....equation (I)

x -y =65......equation (II)

Now adding both equations we get

2x =152

x =152/2

Therefore x =76

Putting x =76in equation i

76+y =87

y =87-76

Therefore y =11

The two numbers are 76and 11.

Hope it helps :)
Answer 2
Answer:

Answer:

11, 76

Step-by-step explanation:

Let the two numbers be x and y.

According to the given conditions:

x + y = 87.....(1)

x - y = 65....(2)

Adding equations (1) & (2)

x + y = 87

x - y = 65

__________

2x = 152

x = 152/2

x = 76

Plug x = 76 in equation (1)

76 + y = 87

y = 87 - 76

y = 11

Thus the two numbers are 11 and 76.

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

Answers

Answer:

y=3e^(-4t)

Step-by-step explanation:

y''+5y'+4y=0

Applying the Laplace transform:

\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0

With the formulas:

\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)

\mathcal{L}[y']=s\mathcal{L}[y]-y(0)

\mathcal{L}[x]=L

s^2L-3s+5sL-3+4L=0

Solving for L

L(s^2+5s+4)=3s+3

L=(3s+3)/(s^2+5s+4)

L=(3(s+1))/((s+1)(s+4))

L=\frac3{s+4}

Apply the inverse Laplace transform with this formula:

\mathcal{L}^(-1)[\frac1{s-a}]=e^(at)

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Mrs. Nelson has one $10 bill and one $20 bill. She wants to buy as many movie tickets as she can with this money. If movie tickets cost $6 each, how many tickets, t can she buy

Answers

Answer:

she can buy 5 movie tickets

Step-by-step explanation:

30/6=5

Question 23
Let f be a function given by f(x)=-4x-1.
Find and simplify f(x+3)

Answers

Answer:

f=-(4x+1)/(x+3)

Step-by-step explanation:

Divide each term in  f(x+3)=−4x−1  by  x+3  and simplify.

Mark as brainlist if you find this helpful

203.530 divided by 0.7=

Answers

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A store sells ice cream with assorted toppings. They charge $$$3.00 for an ice cream plus $$50 cents per ounce of toppings.How much does an ice cream cost with $$11 ounces of toppings?

Answers

Answer:

$5.50

Step-by-step explanation:

so if its $3 for an ice cream plus .50 cents per ounce all you have to do is 11 x 0.50 witch would equal $ 5.50.

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Answers

Answer:

200

Step-by-step explanation:

Answer:

ITS C 200

Step-by-step explanation:
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