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3 years ago

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Nate read 10 more books than maren for the summer reading program. The total number of books they read is 60. Solve x + x + 10 =

60 to find the number of books Nate read

2 answers:

Vanyuwa [196]3 years ago

4 0

Answer:

25

Step-by-step explanation:

x + x + 10 = 60

x + x = 50

2x = 50

x = 25

Norma-Jean [14]3 years ago

4 0

Answer:

30 + 20 + 10 =60

Step-by-step explanation:

Maren read 20 books Nate read 40 books.

30 + 10 = 40books

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A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak.

sesenic [268]

Answer:

f(x) = 54(two-thirds) Superscript x minus 1

Step-by-step explanation:

Given that:

First peak : 36 / 54=2/3

Second peak : 24 / 36 = 2/3

The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height

Modeling this using geometric progression :

An=a1r^(n-1)

An = nth term of a geometric progression

a1=first term

r=common ratio = 2/3

n = nth term

a1=54

Substituting into the above formular :

An=54(2/3)^(n-1)

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Twice a number plus 7 is no more than 12. what is inequality

natta225 [31]

Answer:

2x + 7 ≤ 12

Step-by-step explanation:

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3 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

$r^2-16=0$

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

From the initial conditions we get

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So we have

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

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4 years ago

Neil has 3 partially full cans of white paint. They contian 1/3 gallon, 1/5 gallon and 1/2 gallon of paint. About how much paint

pickupchik [31]

Answer:

1 1/30 gallon

Step-by-step explanation:

Can A = 1/3 gallon

Can B = 1/5 gallon

Can C = 1/2 gallon

Total paint Neil has = Can A + Can B + Can C

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= (10+6+15) / 30

= 31/30

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3 years ago