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MA_775_DIABLO [31]
4 years ago
5

A 63 liter mixture contains milk and water in a ratio of 4:5. then x liters of milk and y liters of water are added to the mixtu

re, resulting in a milk to water ratio of 7:5. finally , 60 liters of the mixture are drained and replaced with 60 liters of water, resulting in a milk to water ratio of 7:8. what is the value of x+y ?
Mathematics
1 answer:
KatRina [158]4 years ago
4 0

Answer:

X+y=237Litres

Step-by-step explanation:

Let a be mixture of milk and water.

Let x =milk

Let y= water

z = x+y

Final volume of mixture =63litres + z

5/12(3+z))+60=8/15(63-z)

z =x+y= 237litres

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As per the question, 10 workers working for 4 hours a day complete their work = 12 days. 1 person working for 1 hour a day complete the work = 12×10×4 days. Thus, the 8 persons working for 6 hrs a day complete their work in 10 days.

Step-by-step explanation:

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caley is making some punch for her birthday party.She mixes 1/2 litre of cranberry juice,1/1/2 litres of apple juice,2/3 litre o
vlabodo [156]

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yes it will contain it  

Step-by-step explanation:

.5 + 1.5 + .66 + .8 = 3.46

7 0
4 years ago
Find the length of the hypotenuse
Darina [25.2K]

Answer:

The Hypotenuse is side just opposite to the right angle.

Step-by-step explanation:

By Pythagoras' theorem,

c^2=a^2+b^2

c^2(hypotenuse to be found)= 30^2+ 16^2

<em>c^2=1156 </em>

<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>

<em><u>The square root of 1156 is 34. </u></em>

<h2><em><u>Thus, c ( hypotenuse) = 34</u></em></h2>

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3 0
3 years ago
Simplify.<br> Rewrite the expression in the form b^n<br><br> (b^3)^2
Alexxandr [17]

Step-by-step explanation:

a^n={\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}

<h2>METHOD 1.</h2>

\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=\underbrace{b\cdot b\cdot b}_{3}\cdot\underbrace{b\cdot b\cdot b}_{3}=\underbrace{b\cdot b\cdot b\cdot b\cdot b\cdot b}_{6}=b^6

<h2>METHOD 2.</h2>

\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=b^{3+3}=b^6\qquad\text{used}\ a^n\cdot a^m=a^{n+m}

<h2>METHOD 3.</h2>

\left(b^3\right)^2=\left(\underbrace{b\cdot b\cdot b}_{3}\right)^2=b^2\cdot b^2\cdot b^2=b^{2+2+2}=b^6\\\text{used}\ (ab)^n=a^nb^n,\ a^n\cdot a^m=a^{n+m}

<h2>METHOD 4.</h2>

\left(b^3\right)^2=b^{3\cdot2}=b^6\qquad\text{used}\ \left(a^n\right)^m=a^{nm}

5 0
3 years ago
A.)23<br> B.)60<br> C.)53<br> D.)30
olga_2 [115]

Answer:

ABC = 30

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

2x+14  + x+7  = 90

Combine like terms

3x+21 = 90

Subtract 21 from each side

3x+21-21 = 90-21

3x = 69

Divide by 3

3x/3 = 69/3

x = 23

ABC = x+7 = 23+7 = 30

6 0
3 years ago
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