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2 years ago

7

QUICK PLEASE The school library is planning to purchase new bookshelves. If they calculated that each bookshelf can hold 75 book

s and the library has 350 books already, write an equation to represent the number of books the library will have if they buy n bookshelves.

1 answer:

podryga [215]2 years ago

8 0

Answer:

75 divided by 350

Step-by-step explanation:

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A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?

Travka [436]

Answer:

$area=\frac{85}{4}feet^{2}$

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

$perimeter=18\frac{1}{2}\\\\length=5$

$2(length+width)=perimeter$

Substitute,

$2(5+width)=18\frac{1}{2}$

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

$2(5+width)=\frac{37}{2}$

Inverse operations,

$2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}$

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

$length=5\\\\width = \frac{17}{4}$

$length*width=area$

Substitute,

$5*\frac{17}{4}\\\\=\frac{85}{4}$

$area=\frac{85}{4}feet^{2}$

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3 years ago

Jeremy unpacked 18

tekilochka [14]

Answer:

40

Step-by-step explanation: 40 x .45 = 18

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3 years ago

Liza went out for pizza with her mom. Their meal cost $32. Sales tax is 5% and they decide to leave 15%

ASHA 777 [7]

Answer:

7

Step-by-step explanation:

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3 years ago

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Ivanshal [37]

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: $a^2+b^2=c^2$

C is always the largest number

<em><u>a times a + b times b = c times c</u></em>

4 0

3 years ago

Can some one answer this plz ill give !100 POINTS!

Lorico [155]

Hello!

First of all let's find the perimeter (circumference) of the semi circles. We can combine them to make one circle with a diameter of 4 (as we can see the side length of one semi circle is 4 cm. We now plug it into the circumference equation ( $\pi$ =3.14).

4(3.14)=12.56

Now we add up the side lengths of the rectangle.

4+6+4+6=20

Now we add up the length of our circle and rectangle.

20+12.56=32.56

Therefore our answer is 32.56 cm.
----------------------------------------------------------

Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.

A= $\pi$ r²

First we will square our radius.

2(2)=4

Now we multiply by pi.

4(3.14)=12.56

Now we need to find the area of the rectangle.

6(4)=24

Now we add.

24+12.56=36.56.

I hope this helps!

8 0

3 years ago

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