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german
3 years ago
6

PLEASE HELP ME ITS DUE TOMORROW!! THANKS!

Mathematics
1 answer:
leonid [27]3 years ago
6 0
PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12

Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36

Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36

Pablo has 1 1/36 quarts more than Rosa

PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3

Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9

Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12

Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
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when measuring time 8 concerts are approximately equal to 6 symphonies how many concerts are equal to 28 concerts how many conce
tatiyna
Lets answer this:-

1st lets divide to see how many times 28 goes in 8. And then we will multiply....

28 ÷ 8 = 3.5

Now lets multiply to see how many symphonies are equal to 25 concerts. Lets do it:-

3.5 × 6 = 21

So, 21 symphonies are equal to 28 concerts. 

Lets divide to see how many concerts are equal to 42 symphonies and the multiply to get our final answer. 

42 ÷ 6 = 7

7 × 8 = 56.

So, 56 concerts are equal to 42 symphonies.

Hope I helped ya!! 
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3 years ago
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Given \tan A = \frac{7}{{24}}, find the cos B
Natali5045456 [20]

We are given

tan(A)=\frac{7}{24}

we know that

tan(A)=\frac{opposite}{adjacent}

so, we get

opposite =7

adjacent=24

now, we can find hypotenuse

hypotenuse=\sqrt{7^2+24^2}

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now, we can draw triangle and then switch vertices accordingly

we can find cos(B) using second triangle

cos(B)=\frac{adjacent}{hypotenuse}

In second triangle:

adjacent=7

hypotenuse =25

so, we get

cos(B)=\frac{7}{25}................Answer

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