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3 years ago

11

Kylie is shopping at the mall. She buys a pack of water balloons for $3. She also buys seven t-shirts, each marked at the same p

rice. Kylie spends a total of $59
Identify which equation models this situation.

a.3x+7=59
b.3x+7y=59
c.3x+7x=59
d.7x+3=59

1 answer:

VMariaS [17]3 years ago

7 0

Answer:

b 3x +7y =59

Step-by-step explanation:

x is water balloons at 3 each and y is t-shirts at 7$ each.

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2 years ago

What is 19.2×10^8 minutes in hours

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3 years ago

Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

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3 years ago

Which product will be positive?

Sladkaya [172]

Answer:

-7 × (-4) will have a positive product.

Step-by-step explanation:

product of the two number are positive only if the two numbers have the same sign either both (+) or both (-).

and -7 × (-4) = 28.

here 28 is positive.

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3 years ago

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xxMikexx [17]

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3 years ago