<h3>
Answer: Yes</h3>
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Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
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Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
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Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
Answer:
Step-by-step explanation:
LEt the number be x.
2x - 5 = 3
2x = 3 + 5 = 8
x = 8/2 = 4
To solve the equation: add 5 to both sides and then multiply by 1/2.
For this case we have that according to the order of algebraic operations PEMDAS, the multiplications have priority over the addition and subtraction, then, we have the following expression:
Thus, the value of the expression is 1000.
Answer:
Step-by-step explanation:
As seen from the graph, the curve crosses the x-axis when x = -1 and x = 1. The y-intercept of the curve is -1.
Hence, the quadratic equation of the curve is y = x^2 - 1.
Answer:
240 cm^3
Step-by-step explanation:
Volume of a rectangular prism = base area x height
the base is a rectangle, thus base area = width x length = 4 x 5 = 20 cm^2
20cm^2 x 12 = 240 cm^3
