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Llana [10]
3 years ago
12

There are 4,200 butterflies. 800 are orange, 200, purple, 400 are yellow and the rest are blue. What fraction of the butterflies

are blue ?

Mathematics
2 answers:
Naily [24]3 years ago
8 0

Answer:

2/3 is the answer

trasher [3.6K]3 years ago
6 0

Answer:

2/3

Step-by-step explanation:

First you add all the colors. Then you subtract that number from 4200 to get the total number of blue buterfiles. After that, you put the total number of blue butterflies in the numerator and the 4200 would go in the denominator. Then you reduce until u get the final fraction.  

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Eliminate all exponents by Expanding 6^3 y^4 ​
horrorfan [7]

Answer:

216*y*y*y*y

Step-by-step explanation:

6 cubed is 216, and y^4 expanded is yyyy.  So if I'm understanding correctly, you want as your answer:

216*y*y*y*y

8 0
3 years ago
Solve the simultaneous equation,<br> 2p - 3q = 4<br> 3p + 2q = 9
Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

8 0
3 years ago
Round 78.8 to the tenths
Nadusha1986 [10]
78.8 rounded to the nearest tenths is 78.8 

We can not round it to the tenths because it already is rounded to the tenths.
6 0
3 years ago
What is -1.2 times 1 1/5 divided by 3/10
djyliett [7]

I think it would be easier to covert the fractions to decimals here

-1.2 * 1 1/5 / 3/10

= -1.2 * 1.2 / 0.3

= -1.44 / 0.3

= - 4.8 answer

6 0
3 years ago
muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack
antiseptic1488 [7]

Answer:

<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>

Step-by-step explanation:

Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.

<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.

So,  1 yard, 2 feet and 4 inches =[(1*36)+(2*12)+4]inches = 64 inches.

That means, he uses 64 inches of twine to wrap each carton.

He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u>  =(64*29) inches= 1856 inches.

Now....

1856 inches

=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

8 0
3 years ago
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