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slavikrds [6]
3 years ago
12

Tim has a large collection of books. The number of paperback books he owns is three less then four times the number of hardcover

books. In total, Tim has 447 books. How many hardcover books does he own?
Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Answer: let the no of paperback books be x and hardcover books be y

4y - x = 3

Therefore, x - 4y = -3 -----(1)

x + y = 447 ----(2)

Put x = 447 - y in eqn 1

447- y - 4y = -3

-5y = -3 - 447

-5y = -450

y = 90

x = 357

Step-by-step explanation:

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Hey please help, thank you!!
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Answer:

D

Step-by-step explanation:

So we have the equation:

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And we want to find out which of the answer choices is <em>not</em> equivalent.

Thus, let's go through each of the choices.

A)

We have:

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This is correct.

Our original equation can be written as:

A=\frac{1}{2}(\frac{12(3+7)}{1})

And if we multiply straight across:

A=\frac{12(3+7)}{2}

We'll get choice A. So choice A is correct.

B)

We have:

6(3+7)

This is also correct.

From our original equation:

A=\frac{1}{2}(12)\cdot(3+7)

If we multiply the first term together:

A=6(3+7)

We'll get choice B. So, choice B is correct.

C)

We have:

0.5(12)(10)

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)

So, C is also correct.

D)

We have:

\frac{12}{2}\times\frac{10}{2}

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does <em>not work</em> for multiplication. For instance:

3(2+1)\text{ indeed equals } 3(2)+3(1)

However:

3(2\times1)\text{ does not equal} 3(2)\times3(1)

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.

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3 years ago
Find the midpoint of the line segment with the given endpoints. <br>(14, -6), (13, 14)<br>​
Cloud [144]

Answer:

Step-by-step explanation:

23

3 0
3 years ago
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The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=
fredd [130]

Answer:

(a) g(x) has a greater slope

(b) g(x) has a greater y intercept

Step-by-step explanation:

Given

x \to -1,0,1

f(x) \to -5,-1,3

g(x) = 4x + 3

Solving (a): Compare the slopes

Slope (m) is calculated as:

m =\frac{y_2 - y_1}{x_2 - x_1}

So, for f(x), we have:

m =\frac{-1- 0}{-5- -1}

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m =\frac{1}{4}

For g(x), we have:

Assume g(x) = mx + c then the slope is m

Compare the above to g(x) = 4x + 3

Then the slope of g(x) is 4

g(x) has a greater slope

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Here we set x= 0

From the table of f(x)

f(x) = -1 when x = 0

From g(x) = 4x + 3

g(0) = 4 * 0 + 3

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scoundrel [369]

Answer:

The egg hits the ground after 6 seconds.

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t = ±√36

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Since we are dealing with distance, we take the positive value.

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