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nataly862011 [7]
3 years ago
8

A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0
Answer: $32.38

Explanation:

64.75 = 100%

So that mean 50% would be half of 64.75

64.75 ÷ 2 = 32.375
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You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression
aliya0001 [1]

Given that the number of tickets that are sold for $5 is (3t+2) tickets.

The number of tickets that are sold for $7 is (2t+5) tickets.

We need to determine the expression that represents the total number of tickets sold and the simplified expression.

<u>Total number of tickets sold:</u>

The expression for (3t+2) tickets sold for $5 is given by

5(3t+2)

The expression for (2t+5) tickets sold for $7 is given by

7(2t+5)

The expression for the total number of tickets sold is given by

5(3t+2)+7(2t+5)

Thus, the expression that represents the total number of tickets sold is 5(3t+2)+7(2t+5)

<u>Simplified expression:</u>

We need to simplify the expression 5(3t+2)+7(2t+5)

Hence, let us multiply the terms within the bracket.

Thus, we get;

15t+10+14t+35

Adding the like terms, we have,

29t+45

Thus, the simplified expression is 29t+45

5 0
3 years ago
2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
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3 years ago
Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the in
RSB [31]

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

s(s+5)-2(s+5) =0

(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

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Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

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By putting the values of A and B in equation (D)

Y= 2e^(5t)

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4 years ago
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