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3 years ago

A plant grows 12 mm every four months how many centimeters will it grow in one year?

Mathematics

1 answer:

swat323 years ago

7 0

Step-by-step explanation:

One year is 12 months. 12 mm is 1.2 cm.

Write and solve a proportion

1.2 cm / 4 months = x / 12 months

x = 3.6 cm

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Please help me i need help i'll help you if you help me ! i will mark you as brill

MatroZZZ [7]

Answer:

See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):

$Ratio = \frac{2}{7}$

Multiply through by 2

$Ratio = \frac{2*2}{7*2} = \frac{4}{14}$

Multiply through by 3

$Ratio = \frac{2*3}{7*3} = \frac{6}{21}$

Multiply through by 5

$Ratio = \frac{2*5}{7*5} = \frac{10}{35}$

Hence, the equivalents are: $\frac{4}{14}, \frac{6}{21}, \frac{10}{35}$

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

$Ratio = 1.5 * 2\ to\ 3.5 * 2$

$Ratio = 3\ to\ 7$

Multiply by 3

$Ratio = 1.5 * 3\ to\ 3.5 * 3$

$Ratio = 4.5\ to\ 10.5$

Multiply by 4

$Ratio = 1.5 * 4\ to\ 3.5 * 4$

$Ratio = 6\ to\ 14$

Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

$Ratio = 6.25/5\ to\ 1.25/5$

$Ratio = 1.25\ to\ 0.25$

Multiply by 2

$Ratio = 6.25*2\ to\ 1.25*2$

$Ratio = 12.5\ to\ 2.5$

Multiply by 4

$Ratio = 6.25*4\ to\ 1.25*4$

$Ratio = 25\ to\ 5$

Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):

$Ratio = 3 : 3\frac{1}{2}$

Multiply by 2

$Ratio = 3 *2: 3\frac{1}{2}*2$

$Ratio = 6: 7$

Multiply by 4

$Ratio = 3 *4: 3\frac{1}{2}*4$

$Ratio = 12: 14$

Multiply by 6

$Ratio = 3 *6: 3\frac{1}{2}*6$

$Ratio = 18: 21$

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)

$Ratio = 1\frac{2}{3} : \frac{5}{4}$

Convert mixed fraction to improper fraction

$Ratio = \frac{5}{3} : \frac{5}{4}$

Multiply by 2

$Ratio = \frac{5}{3}*2 : \frac{5}{4}*2$

$Ratio = \frac{10}{3} : \frac{5}{2}$

Multiply by 3

$Ratio = \frac{5}{3}*3 : \frac{5}{4}*3$

$Ratio = 5 : \frac{15}{4}$

Multiply by 12

$Ratio = \frac{5}{3}*12 : \frac{5}{4}*12$

$Ratio = 20 : 15$

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

5 0

3 years ago

3. Represents the sets with a Venn diagram: U = {1,2,3,4,5,6,7,8,9, 10, 11, 12} A = {1,2,3,4,6, 12} B = {1,2,4,8}

damaskus [11]

Answer:

See explanation and picture attached

Step-by-step explanation:

A set can be described by listing all of its elements.

For example, A = { 2, 4, 6, 8}, which we read as

“A is the set whose elements are 2, 4, 6 and 8”.

The four elements of the set are separated by commas, and the list is enclosed between curly brackets.

A set can also be described by writing a description of its elements between curly brackets.

Thus the set A above can also be written as

A = { even natural numbers less than 9 }, which we read as

“A is the set of even natural numbers less than 9”.

A set can also be described graphically by using Venn diagrams, which are simply circle shaped drawings showing the elements inside.

In our case U={1,2,3,4,5,6,7,8,9,10,11,12} A={1,2,3,4,6,12} B={1,2,4,8}

See picture attached for the answer.

8 0

3 years ago

For every five flowers, there are 10 yellow flowers. There are a total of 75 yellow and red flowers in her garden how many red f

umka21 [38]

Answer:

Yellow: 50

Red: 25

Step-by-step explanation:

5:10

5 times 5 = 25

10 times 5 = 50

4 0

3 years ago

What is 3d - 12 for d = 10

ZanzabumX [31]

3 d - 12

3 * 10 - 12

30 - 12 = 18

Answer : 18

7 0

3 years ago

Read 2 more answers

Sam and Bethan share £54 in the ratio 5:4. how much will each person get

Sunny_sXe [5.5K]

Given :-
sam and Bethan shareare in the ratio 5:4 respectively.
Total no of money is = 54ÂŁ
Solution :-
Let Sams share is be x ie = 5
Let Bethans share be y ie = 4
Total no of share is = 9
Therefore the persons share is (particular persons share / total no of share) *
total value of money
Ans : -
Therefore sams share x is = (5/9)* 54 =30ÂŁ
Therefore Bethans share y is = (4/9) * 54 = 24ÂŁ

5 0

3 years ago