<h3>
Answer: 410 mL </h3>
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Explanation:
The ratio of A to B is 5:3
Multiply both parts by x to get 5x:3x
We need 5x parts of A and 3x parts of B
Adding those parts should get us 656 mL total
A+B = total
5x+3x = 656
8x = 656
x = 656/8
x = 82
Therefore, we need 5x = 5*82 = 410 mL of compound A
Also, we need 3x = 3*82 = 246 mL of compound B
In total, we have A+B = 410+246 = 656 mL which helps confirm the answer.
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Side note: The ratio 410:246 reduces to 5:3 after dividing both parts by 82.
Answer: 6
Step-by-step explanation:
From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:
Sin = opposite/hypotenuse
Sin 30°=length of the altitude/12
Note that sin 30° = 0.5
0.5 = length of the altitude/12
length of the altitude = 12 × 0.5
Hence, length of altitude = 6
Answer:
So, the initial number of apples is 7.
Step-by-step explanation:
The number of apples of An, Binh, and Chi are the same. An gave away 17 apples, Chi gave away 19 apples, so now Chi's apples are 5 times higher than the total remaining apples of An and Binh. How many apples did each of you have at first? (Solve the above problem by equation or system of equations)
Let the initial numbers of apples is a.
An gave 17 apples
Chi gave 19 apples
So,
x - 19 = 5 (x - 17 + x)
x - 19 = 5 (2x - 17)
x - 19 = 10 x - 85
9 x = 66
x = 7
Answer:
16
Step-by-step explanation:
4x2=8
8x2=16