All categories

2 years ago

A recipe requires 2 2/3 cups of milk . the chef tells you to increase the recipe by a factor of a factor of 2 1/2

Mathematics

2 answers:

Irina-Kira [14]2 years ago

7 0

2⅔ to a decimal is 2.66.

2.66 * 2.5 = 6.65

6.65 is nearly 6.66 which is 6⅔, so the answer is 6⅔.

zubka84 [21]2 years ago

6 0

Answer:

$5\frac{1}{6}$

Step-by-step explanation:

Givens:

The recipe requires $2\frac{2}{3}$ cups of milk.
The scale factor is $2\frac{1}{2}$

So, to calculate the final number of cups of milk, we just have to sum both numbers, but first we have to transform them from mixed number to fractional numbers:

$2\frac{2}{3}=\frac{8}{3} \\2\frac{1}{2}=\frac{5}{2}$

So, the sum would be

$\frac{8}{3}+\frac{5}{2}=\frac{16+15}{6}=\frac{31}{6}=5\frac{1}{6}$

Therefore, we should put $5\frac{1}{6}$ cups of milk due to the increase.

You might be interested in

The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(

Rus_ich [418]

U(x) = f(x).(gx)
v(x) = f(x) / g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) = f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 - 1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

3 0

3 years ago

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground he wants a ramp to be 10 meters long what should

sveticcg [70]

The angle of elevation is 26.565 (3dp)
let h be the end height of the ramp above
the ground , l be the length of the ramp and
the angle of elevation is (30)
i'm not sure, sorry

6 0

3 years ago

Read 2 more answers

Based on the figure, select all true equations

Lady bird [3.3K]

Answer:

a) no

b) true

c) true

d) no

e) true

f) true

3 0

2 years ago

What is the surface area of the box 12in ,4in and 3in

BabaBlast [244]

Which one is height, width, and length?

8 0

3 years ago

20 mountains and where they are found in the world

Serga [27]

Answer:

20. Nuptse, Mahalangur Himalaya

It is located in the Mahalangur range in the Khumbu region and is one of the mountains surrounding Mount Everest.

19. Distaghil Sar, Hispar Karakoram

This peak is located in the Karakoram range of the Gilgit-Baltistan region of Pakistan. Dishtaghil Sar is almost three kilometers wide and 7884 meters in height.

18. Himalchuli, Manaslu Himalaya

The Himalchuli peak is a part of Nepal Himalayas and prevails south of Mount Manaslu, one of the world’s highest mountains. Himalchuli has the second-highest summit in its mountain range, i.e., Mansiri Himalaya, at the height of 7892 meters. Hisashi Tanabe of Japan was the first person to have climbed it in 1960.

17. Gasherbrum IV, Baltoro Karakoram

Gasherbrum IV is one of the peaks in the Gasherbrum mountain range, as the name suggests, and is located in Pakistan. It is at the north-east end of the Baltoro Glacier in the Karakoram range of the greater Himalayas. The rest of the three peaks located in the Gasherbrum range are well above 8000 meters, while this peak is about 7932 meters in elevation.

16. Annapurna II, Annapurna Massif

At 7934 m high, Annapurna II lies in the eastern ranges of the Annapurna range, and quite contrary to the common belief in people, it is an independent peak. The first ascent of this peak was made by Richard Grant, Chris Bonington, and Ang Nyima Sherpa in 1960 and has seen very few ascents since.

15. Gyanchung Kang, Mahalangur Himalaya

Gyanchung Kang lies between two of the tallest mountains globally, both of which are above 8000 meters, namely, Cho Oyu and Everest. It is part of Mahalangur Himalaya while it spreads between Nepal and Tibet Autonomous Region of China. It is 7952meters in height.

14. Shishapangma, Jugal Himal

All the mountains listed from here onwards are above an altitude of more than 8000 meters. It is located between Tibet and Nepal. It lies in the restricted area that foreigners are not permitted to visit on security grounds.

Mount Lhotse

13. Gasherbrum II or K4, Baltoro Karakoram

Gasherbrum II lies above Gasherbrum III, and as mentioned above, it is located in the Karakoram range. The 8035-meter peak was first climbed in 1956 by an Austrian climber.

12. Broad Peak or K3, Baltoro Karakoram

The broad peak at 8051 meters is the 12th highest mountain and is also popularly known as Falchan Kangri.

11. Gasherbrum I or Hidden Peak or K5, Baltoro Karakoram

The name was hidden peak due to the extreme remoteness in which it is located. Pete Schoning and Andy Kauffman, who were part of an eight-member American team, were the first to climb this 8080-meter peak in 1956.

10. Annapurna I, Annapurna Massif

The main peak of Annapurna I is the tenth tallest mountain in the world with an altitude of 8091 meters.

9. Nanga Parbat, Nanga Parbat Himalayas

It is also known by the name of “Killer Mountain” because it has one of the highest numbers of deaths and unsuccessful expeditions simultaneously; it has never been climbed during the winter. Located in the Diamer District of Gilgit-Baltistan, Pakistan, Nanga Parbat is the western anchor of the Himalayas.

8. Manaslu, Manaslu Himal

It lies in the Himalayas’ Gorkha district and is in very close proximity to the Annapurna range. Manaslu stands at 8163 meters. Located in the Diamer District of Gilgit-Baltistan, Pakistan, Nanga Parbat is the western anchor of the Himalayas.

7. Dhaulagiri I, Dhaulagiri Himal

It is the highest point in the Kali Gandaki river valley. This massif is bounded on the north and southwest by tributaries of the Bheri River and on the southeast by the Myagdi Khola.

6. Cho Oyu, Mahalangur range Himalaya

Cho Oyu is usually considered the easiest of the 8000-meter peaks due to the moderate slopes and passes nearby. Nepal (Province No. 1)–China (Tibet)

5. Makalu, Mahalangur range Himalaya

Despite being part of the Mahalangur range, Makalu is an isolated peak shaped like a four-sided pyramid. It is located in the Mahalangur Himalayas 19 km southeast of Mount Everest, on the border between Nepal and Tibet Autonomous Region, China.

4. Lhotse, Mahalangur Range Himalaya

Part of the Everest massif, Lhotse is connected to the latter peak via the South Col. Lhotse means "South Peak" in Tibetan

3. Kangchenjunga, Kangchenjunga Himalaya

In a section of the Himalayas called Kangchenjunga Himal delimited in the west by the Tamur River, in the north by the Lhonak Chu and Jongsang La, and in the east by the Teesta River.

2. K2 /Chhogori/Godwin Austen, Baltoro Karakoram

The Baltistan region of Pakistan is home to the highest point in both the Karakoram range and the nation in the form of K2.

1.Sagarmatha /Chomolungma/ Mount Everest /, Mahalangur Range Himalaya

Mount Everest or Sagarmatha, as it is called in Nepal, and Chomolungma is known in Tibet.

Step-by-step explanation:

Hope this helps :)

8 0

2 years ago