Fine has 3 times more books than Ruth. Ruth has 17 books. Write and solve the

Mathematics

1 answer:

Pepsi [2]4 years ago

3 0

Answer: 17 • 3 = 51 or 17 x 3 = 51

Step-by-step explanation:

When the problem says that Fine has three more books than Ruth, that means that you have to multiply the amount of books that Ruth has by three.

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calculate the total potential energy in kj of an object whose mass is 20 kg when it is located 20 m below a datum level in a loc

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Answer:

The energy in object is 3.8 Kilo Joules.

Step-by-step explanation:

We are given the following in the question:

Mass = 20 kg

Height,h = 20 m

g=9.5 m/s^2

Formula:

Potential energy =

$E = Mgh$

Putting value we get,

$E = 20(20)(9.5)\\E = 3800~J\\E = 3.8~KJ$

Thus, the energy in object is 3.8 Kilo Joules.

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3 years ago

The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)

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$The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\ -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}$

$therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}$

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3 years ago

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e-lub [12.9K]

X+60 + 70 = 180 (straight line)
x+130=180
x= 180 -130
x=50

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