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3 years ago

A 15-kg bag of strawberry for $8 ____ per kg

Mathematics

2 answers:

choli [55]3 years ago

7 0

Answer: $0.53 per kg

$0.53 per kilogram 8/15 = 53333333333.... round it

aleksandr82 [10.1K]3 years ago

4 0

Answer:

$0.53 per kg

Step-by-step explanation:

8/15=533333333... so round it

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Explain how to estimate the square root of 1659

Nata [24]

Explanation:

Find the two closest square numbers to 1659.

40*40=1600

41*41=1681

Decide much closer to either 1600 or 1681 is 1659.

If it is exactly halfway between the two numbers, the square root is 40.5.

If it is closer to 1600, the sq rt decimal is between 1 and 4.

If it is closer to 1681, the sq rt decimal is between 6 and 9.

7 0

2 years ago

(x+5)(x+1)+(x+5)(x+8)

gtnhenbr [62]

Answer:

2x² + 19x + 45

Step-by-step explanation:

(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL

= x² + 6x + 5 + x² + 13x + 40 ← collect like terms

= 2x² + 19x + 45

5 0

2 years ago

Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

7 0

3 years ago

Question:there are two 12 empty juice bottles. You drank 8 bottles of juice.i drank the rest. What fraction did I drank?

LenKa [72]

Isn't it impossible to drink from an empty bottle?

8 0

3 years ago

19.

dmitriy555 [2]

Answer:

293 feet per second

Step-by-step explanation:

1056000 feet per hour

1 hour = 60 minutes

1056000 divided by 60 = 17600 feet per minute

1 minute = 60 seconds

17600 divided by 60 = 293 feet per second

5 0

2 years ago