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Irina-Kira [14]
3 years ago
6

The public library has volunteers shelve book after they have been returned.lisa shelve 165 book in 25 minutes.patricia shelves

198 books in 45 minutes.How many can Lisa shelve each minute?
Mathematics
1 answer:
uysha [10]3 years ago
8 0

Answer:

Lisa can shelve at least 6 books in 1 minute time.

<u>Explanation:</u>

Given:

The public library has volunteers shelve book after they have been returned.

Lisa shelve 165 book in 25 minutes.

Patricia shelves 198 books in 45 minutes.

To Find:

We have to find how many can Lisa shelve each minute?

Solution:

Now, we know that, number of books she can shelve = \frac{(number of books she shelve in 25 minutes)}{(25 minutes time)}

Number of books she can shelve = \frac{165}{25} = 6.6

Hence, she can shelve at least 6 books in 1 minute time.

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What is the perimeter of this composite figure?<br> 4 cm<br> 6 cm
AlekseyPX
4cm I think, because it’s usually a even and equal number. But don’t take my word for it.
8 0
2 years ago
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What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8,2), and (5,-2)?
Llana [10]

Answer:

The area of the parallelogram is 20 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The vertices of the parallelogram are (0 , -2) , (3 , 2) , (8 , 2) , (5 , -2)

- The side joining the points (0 , -2) and (5 , -2) is a horizontal side

  because the points have same y-coordinates

- The side joining the points (3 , 2) and (8 , 2) is a horizontal side

  because the points have same y-coordinates

∴ These two sides are parallel bases of the parallelogram

∵ The length of any horizontal side = x2 - x1

∴ The length of the side = 5 - 0 = 5 <em>or</em> 8 - 3 = 5

∴ The length of one base of the parallelogram is 5 units

- The height of this base is the vertical distance between these two

  parallel bases

∵ The length of any vertical distance = y2 - y1

∵ y2 = 2 and y1 = -2 ⇒ the y-coordinates of the parallel bases

∴ The length of the vertical distance = 2 - (-2) = 2 + 2 = 4 units

∵ This vertical distance between the two parallel bases is the height

  of these bases

∴ The height of the parallelogram is 4 units

- The area of the parallelogram = base × height

∵ The base = 5 units and the height = 4 units

∴ The area = 5 × 4 = 20 units²

* The area of the parallelogram is 20 units²

7 0
3 years ago
A cake manufacturer boxes Swiss chocolate and German chocolate cakes at one site. A box of Swiss chocolate cake contains 0.55 lb
Kobotan [32]

Answer:

2,500 German chocolate cake boxes.

1,500 Swiss chocolate cake boxes.

Step-by-step explanation:

Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:

0.55*S +0.59*G = 2,300\\0.45*S+0.41*G = 1,700

Solving the linear system above:

(0.55 *S +0.59*G)- \frac{0.55}{0.45} (0.45*S+0.41*G)= 2,300-\frac{0.55}{0.45}*1,700*\\0.088888*G = 222.222\\G=2,500\\S =\frac{2,300-2,500*0.59}{0.55}\\S=1500

2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.

6 0
3 years ago
rudie earn 942 each month. last month gis fixed expense month were 625 and his variable expenses were 259. how much did he save
mel-nik [20]

Answer:

He saved 58 last month.

Step-by-step explanation:

All expenses: 625 + 259 = 884

Total earned: 942 - 884 = 58

7 0
3 years ago
It is desired to draw blood 3 cm up a capillary tube. Assuming a contact angle of 0 degrees and a blood density of 1060 kg/m3, w
JulijaS [17]

Answer:

If we assume a temperature of 20ºc and the blood interfacial surface tension is similar to water interfacial surface tension, the diameter of the capillary tube should be 0.933mm.

Step-by-step explanation:

The Jurin law describes the height a fluid can reach in a capillary tube. This law can be written as:

H=\displaystyle\frac{2\gamma cos(\theta)}{\rho gr}

where γ is the interfacial surface tension, θ is the contact angle with the fluid, ρ is the fluid density, g is the gravity acceleration and r is the tube radius.

If we assume that the interfacial surface tension of blood and water are almost the same, γ=0,0728 N/m at 20ºc. Therefore the diameter of the tube will be:

D=2r=\displaystyle\frac{4\gamma cos(\theta)}{\rho gH}=0.933\cdot 10^{-3}m

4 0
3 years ago
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