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Afina-wow [57]
3 years ago
8

For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of whit

e fabric to coloured fabric as a ratio in its simplest form
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:  The amount of white fabric to coloured fabric as a ratio in its simplest form is \frac{10}{11}

Step-by-step explanation:

Given :

Amount of coloured fabric used by June = 11 mm = 1.1 cm    (1 mm=0.1 cm)

Amount of white fabric used by June = 1 cm

To find : amount of white fabric to coloured fabric as a ratio in its simplest form

To find the ratio in simplest form , the units of both measurements should be same

Thus \frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}

The amount of white fabric to coloured fabric as a ratio in its simplest form is \frac{10}{11}

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Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
EastWind [94]

Answer:

From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Therefore,

\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}

\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}

<u>Multiplication Rule for Independent Events</u>

For independent events A and B:

  • \sf P(A\:and\:B)=P(A) \times P(B)

Therefore,

\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}

<h3><u>Conclusion</u></h3>

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

8 0
1 year ago
Read 2 more answers
On Wednesday and Thursday
m_a_m_a [10]

Answer:

8 records were sold on Wednesday, and 24 records were sold on Thursday

Step-by-step explanation:

Let's call the number of records sold on Wednesday w, and the number sold on Thursday t.

t+w=32

t=3w

Substituting:

(3w)+w=32

4w=32

w=8

t=3w=3(8)=24

Hope this helps!

7 0
3 years ago
(a) Cup A has a diameter of 10 cm. and a height of 20 cm. Find the Volume of Cup A.
Oksana_A [137]

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

<h3>Volume</h3>

Volume is the amount of space occupied by a three dimensional object or figure.

The cup has the shape of a cylinder, the volume is:

Volume = π * radius² * height

For cup A:

Volume = π * (10/2)² * 20 = 1570.8 cm³

Let each punch be 1 cm³, the number of cups needed = 1570.8 cm³ / 1 cm³ = 1571

For cup B:

Volume = π * (20/2)² * 20 = 6283 cm³

Let each punch be 1 cm³, the number of cups needed = 6283 cm³ / 1 cm³ = 6283

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

Find out more on Volume at: brainly.com/question/1972490

7 0
2 years ago
What are 2 ratios equivalent to 24:9
timofeeve [1]

8:3

24 / 3 = 8

9 / 3 = 3

48:18

48 / 2 = 24

18 / 2 = 9

6 0
2 years ago
Read 2 more answers
How to find area of a circle?
beks73 [17]

Answer:

A = πr^2

Step-by-step explanation:

Area = π x r (radius of the circle) squared

3 0
3 years ago
Read 2 more answers
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