Answer:
Step-by-step explanation: 7
<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:
419,920 is the new value when it's increased by sixteen percent
The answer is
The expression is:
Let's factorize it:
Since
, then:
Cancel x(x-3) and simplify:
Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
