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gogolik [260]
3 years ago
10

During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she d

rink in total?
Cups and ounces
Mathematics
1 answer:
belka [17]3 years ago
3 0
First, to find how many pints she drank, you divide 21 by 2, which is 10.5. To make things easier, let's convert her cups into decimal form by dividing 1 by 2, leaving us with .5.
Now, let's convert her pints to cups. 10.5 pints is equal to 21 cups. Now, add the cups she drank on the way home.
In total, Sasha drank 21.5 cups of water, or 172 fluid ounces :)
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The most popular items at a bakery are its raspberry scones and its lemon poppy
Leno4ka [110]

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

Step-by-step explanation:

Given,

Cost per box of raspberry = $15

Cost per box of lemon seeds = $9

Total boxes sold = 46

Total revenue generated = $396

Let,

r represent the number of raspberries sold

l represent the number of lemon seeds sold

According to given statement;

r+l = 46    Eqn 1

15r + 9l = 396    Eqn 2

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

7 0
3 years ago
Convert 1.50 micrometers^2 to m^2. Show your solution.
Vadim26 [7]

Here is the solution for the problem:

<span>1m * 1m = 1m² </span><span>
<span>1m = 1,000,000µm = 1 x 10^6µm </span>
<span>1 x 10^6µm * 1 x 10^6µm = 1m² </span>
<span>1x10^12µm² = 1m² (Now, divide both sides by 1x10^12). </span>
<span>1x10^12µm² / (1 x 10^12) = 1m² / (1 x 10^12) </span>
<span>1µm² = 0∙000 000 000 001 m² (x both sides by 1.5). </span>
<span>1.5µm² = 0∙000 000 000 0015 m² </span>
1.5µm² = 1∙5x10^-12 m²</span>

So 1.50 micrometers^2 is equal to 1.5 x 10^-12 m². I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

8 0
3 years ago
What is the product?(4x)(-3x^8)(-7^3)
kicyunya [14]

Answer:

4116x^9

Step-by-step explanation:

(4x)(-3x^8)(-7^3)

(-12x^9)(-343)

4116x^9

7 0
3 years ago
Tarun has 4 more than the twice the number of tshirts Deepak has.Mahesh has 2 more than thrice the number of T-shirts that Tarun
Dafna11 [192]

Answer:

Deepak: 4 t-shirts,

Tarun: 12 t-shirts,

Mahesh: 14 t-shirts.

Step-by-step explanation:

Let x represent number of t-shirts that Deepak has.

Please consider the complete question.

Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has. Mahesh has 2 more than thrice the number of T-shirts Deepak has. If the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, find out the number of the t-shirt each of them has.​

Since Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has, so the number of t-shirts that Tarun has would be 2x+4.

We are also told that Mahesh has 2 more than thrice the number of T-shirts Deepak has. So the number of t-shirts that Mahesh has would be 3x+2.

Since the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, so we can represent this information in an equation as:

\frac{2x+4}{3x+2}=\frac{6}{7}  

Cross multiply:

6(3x+2)=7(2x+4)

18x+12=14x+28

18x-14x+12-12=14x-14x+28-12

4x=16

x=\frac{16}{4}=4

Therefore, Deepak has 4 t-shirts.

The number of t-shirts that Tarun has would be 2x+4\Rightarrow 2(4)+4=4+4=12

Therefore, Tarun has 12 t-shirts.

The number of t-shirts that Mahesh has would be 3x+2\Rightarrow 3(4)+2=12+2=14

Therefore, Mahesh has 14 t-shirts.

5 0
4 years ago
Find the volume of a cylinder with radius 5 and surface area 180pi
OLga [1]

Answer:

The volume of a cylinder is 325π.

Step-by-step explanation:

The volume of a cylinder is given by:

V = \pi r^{2}h

Where:

h: is the height

r: is the radius = 5

We can find "h" from the surface area of the cylinder:

SA = 2\pi rh + 2\pi r^{2} = 180\pi

h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13

Hence, the volume is:

V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi

Therefore, the volume of a cylinder is 325π.

I hope it helps you!

4 0
3 years ago
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