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Y_Kistochka [10]
2 years ago
7

In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of

the cocktail is apple juice?
Give your answer as a fraction in its simplest form
Mathematics
1 answer:
JulsSmile [24]2 years ago
6 0

Answer:

⅙

Step-by-step explanation:

Get the LCM of the three numbers to get the ml of the total juice.

You take the LCM and divide it by the 25ml of the apple juice.

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11 + (3)(9)
vodka [1.7K]

Answer:

B- In Step 2, the associative property cannot regroup addition and multiplication.

8 0
3 years ago
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You have to write 0.33 as a fraction.how do you choose the denominator?
yaroslaw [1]
100 is the easiest because 1/100 =0.01
33/100=0.33
8 0
3 years ago
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Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k​
valkas [14]

Answer:

\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k​, the vector projection of B unto a is expressed as proj_ab = \dfrac{b.a}{||a||^2} * a

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k  =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||²  = 130

proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\

<em>Hence the projection of b unto a is expressed as </em>\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\<em></em>

7 0
3 years ago
What must be the value of n ?
jarptica [38.1K]

Answer:

Since we have a^7 on the Numerator and after simplification... No "a" was left in the expression. It simply means that all a's in the numerator was eliminated and 2a's were left in the denominator.

To eliminate a^7 and still have 2a's as a remainder in the denominator... 'n' must be equal to 9

So

n=9

3 0
3 years ago
Mary draws the number line below to repersent the solution set of the inequality 50-8t&lt;90
marta [7]
<span>50-8t<90 
50-90<8t
-40<8t
8t>-40
t>-5
Solutions should go to the right.
Mary probably was solving it as following
</span>50-8t<90 
<span>-8t<90-50
-8t<40  (here, when she divided both sides by -8, she had to change sign <  to the sign >)
But she did not change the sign, and got
t<-5

</span>
4 0
3 years ago
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