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3 years ago

All of the used hardcover books at a yard sale are the same price. Hugo paid 4.50 for 6 books.

1 answer:

7 0

You find the unit rate of the books by dividing the number of books by the that price, and for this example the answer should be $.75 per book

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The hypotenuse of the right triangle is 5 meter long. the shorter leg is 1 Meter shorter than the longer leg. find the side leng

Firlakuza [10]

Shorter leg = x

Longer leg = x +1

Length of the hypotenuse: 5 m

We can use the pythagorean theorem with the information given. Doing so, we have:

$\begin{gathered} a^2+b^2=c^2 \\ (x)^2+(x+1)^2=5^2\text{ (Replacing the values)} \\ x^2+x^2+2x+1=25\text{ (Raising both terms to the power of 2)} \\ x^2+x^2+2x=25-1\text{ (Subtracting 1 from both sides of the equation)} \\ 2x^2+2x=24\text{ (Adding like terms)} \\ 2x^2+2x\text{ }-24=0\text{ (Subtracting 24 from both sides of the equation)} \\ 2(x+4)(x-3)=0\text{ (Factoring)} \\ x1=-4\text{ (Since x=-4 makes the factor (x+4) equal to 0)} \\ x2=3\text{ (Since x=3 makes the factor (x}-3\text{) equal to 0)} \\ \text{ Since we need a positive solution x would be equal to 3} \end{gathered}$

So, the answers would be:

Shorter leg = 3 m

Longer leg = 4 m

Length of the hypotenuse: 5 m

6 0

1 year ago

7(x-2)-3(3+x)<1<br><br> Solve the inequality

Zarrin [17]

7(x - 2) - 3(3 + X) greater than 1

7 X - 14 - 9 - 3 x greater than 1

4 x -23 greater than 1

4 x greater than 1 + 23

x is greater than 6

4 0

3 years ago

Read 2 more answers

Presley is deciding where to purchase cat food for his pet. He is considering PetCo and Chewy. PetCo currently has a sale on Fan

navik [9.2K]

PetCo:

t = 0.52c + 41.99

Chewy:

t = 0.64c + 36.98

3 0

3 years ago

Help me :D i appreciate anyone who can!

dmitriy555 [2]

Answer:

I don’t understand what do we have to do?

Step-by-step explanation:

5 0

3 years ago

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Using the law of sines, find the solutions for the missing inputs.

SashulF [63]

$\frac{a}{ \sin(a) } = \frac{b}{ \sin(b) }$
$\frac{12}{ \sin(38) } = \frac{b}{ \sin(85) }$
$\frac{12}{ \sin(38) } = \frac{a}{ \sin(57) }$
$180 - (85 + 38) = 57$
$\frac{12}{ \sin(38) } = \frac{b}{ \sin(85) }$
$\sin(85) \times \frac{12}{ \sin(38) } = b$
$\sin(57) \times \frac{12}{ \sin(38) } = a$
sorry for the order of steps

5 0

3 years ago