Answer:
21
Step-by-step explanation:
dog = 35/85 = x/51
=> x = 35 x 51 / 85 = 7 x 51 / 17 = 21
Answer:
256/81
Step-by-step explanation:
According to the formula:

Using the above formula to solve the question, we perform following steps:

=
=
=
which is the required answer.
Answer:
4/9
Step-by-step explanation:
Let the amount of 95% sol = a ml and
the amount of 30% sol = b ml.
So, the total amount of the compound=a+b=500 ml
As the compound is 50% solution, so
95% of a + 30% of b= 50% of (a+b)
(95/100)a+(30/100)b=(50/100)(a+b) [from equation (i)]
95a + 30b = 50(a+b)
95(a/b)+30 = 50(a+b)/b [dividing both sides by b]
95(a/b)+30 = 50(a/b+1)
95(a/b)+30 = 50(a/b)+50
95(a/b)-50(a/b)=50-30
45(a/b)=20
a/b=20/45
a/b=4/9
Therefore, a:b=4:9
As a+b= 500 ml, so the amount of 95% sol =
ml
and the amount of 95% sol =
ml
Hence, the proportion of 95% sol and 30% sol to make a compound of 50% sol must be 4/9.
Answer:
3 5/8
Step-by-step explanation:
it's 3 5/8 because there are 3 wholes and 5/8 fractions
The answer is: " -8 √5 " .
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Note:
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√-8 *√-40 = i√8 * i√40 ; {since: "i" refers to the imaginary number; " √-1 " } ;
= i² * √8 *√40 ;
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Note:
"√8 * √40 = ? " ;
↔ " √8 = √4 √2 = 2√2 " ;
"√40 = √4 √10 = 2√10" ;
→ "√8 √40 = 2 * 2 * √2 * √10 ;
= 4 * √(2*10) ;
= 4 √20 ;
→ " √20 = √4 √5 = 2√5 ;
→ 4 √20 = 4 * 2 * √5
= 8 √5 ;
→ i² * 8 √5 ;
↔ 8 i² √5 ;
Note: " i² = -1" ;
→ 8(-1) * √5 ;
= -8 √5 .
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