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2 years ago

How many 150 mL glasses can I fill with 5 bottles of soft drinks each hold 1.2 L

Mathematics

2 answers:

Liono4ka [1.6K]2 years ago

8 0

Answer:

<h2>you can fill 40 (150ml) glasses with 5 bottles of soft drinks</h2>

Basic fact:

<em>there are 1000 ml in a litre</em>

Step-by-step explanation:

let us do

5 x 1.2

= 6

now let's turn 6 litres in ml

6 x 1000

=6000

now we need to do

6000/150

instead of doing such big numbers, lets do

600/15

=40

yanalaym [24]2 years ago

8 0

Each bottle of soft drinks hold:-1.2L
Total capacity=5(1.2)=6L

1L=1000ml
6L=6000ml

Total glasses:-

$\\ \sf\longmapsto \dfrac{6000}{150}=40glasses$

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stepan [7]

Answer:

About 1 gallon. (32/30)

Step-by-step explanation:

First get a LCM (least common multiple) for 3, 5, and 2.

Now we have 30. Make 30 the denominator for all.

10/30

15/30

7/30

Then add them all up to get 32/30.

About 1 gallon.

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3 years ago

Read 2 more answers

The chapter is 8pages long. kosta read 1/4 of the chapter aloud.then christina read three pages to the class. How many pages hav

pshichka [43]

Number of pages that the chapter has = 8
Number of pages of the chapter that Kosta read = (1/4) * 8
   = 1 * 2
   = 2
The number of pages of the chapter read by Christina = 3
Then
The total number of pages of the
chapter read by both of them = 2 + 3
      = 5
So the total number of pages of the chapter that has been read by Kosta and Christina is 5. I hope the procedure is clear enough for you to understand.

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2 years ago

Considering only the values of β for which sinβtanβsecβcotβ is defined, which of the following expressions is equivalent to sinβ

-Dominant- [34]

Answer:

$\tan(\beta)$

Step-by-step explanation:

For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something. If you have options that you're building toward, aim toward one of them.

${\tan(\theta)}={\dfrac{\sin(\theta)}{\cos(\theta)}$ and ${\sec(\theta)}={\dfrac{1}{\cos(\theta)}$

Recall the following reciprocal identity:

$\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{1}{ \left ( \dfrac{\sin(\theta)}{\cos(\theta)} \right )} =\dfrac{\cos(\theta)}{\sin(\theta)}$

So, the original expression can be written in terms of only sines and cosines:

$\sin(\beta)\tan(\beta)\sec(\beta)\cot(\beta)$

$\sin(\beta) * \dfrac{\sin(\beta) }{\cos(\beta) } * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) } {\sin(\beta) }$

$\sin(\beta) * \dfrac{\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} {\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}$

$\sin(\beta) *\dfrac{1 }{\cos(\beta) }$

$\dfrac{\sin(\beta)}{\cos(\beta) }$

Working toward one of the answers provided, this is the tangent function.

The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero. However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to $\tan(\beta)$ .

8 0

1 year ago

Please Help! My question is in the picture.

Varvara68 [4.7K]

First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.

Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4

Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
$a_{n} = \frac{1}{4} a_{(n-1)}$

Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2

Final answer:
Recursive rule
$a_{n} = \frac{1}{4} a_{(n-1)}$
a₁ = 2

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2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm.

Oksi-84 [34.3K]

Answer:

38cm3

Step-by-step explanation:

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3 years ago

How many 150 mL glasses can I fill with 5 bottles of soft drinks each hold 1.2 L​

How many 150 mL glasses can I fill with 5 bottles of soft drinks each hold 1.2 L