x=12 and y=18 satisfies both the equalities.
Step-by-step explanation:
Given equations are;
x/y = 2/3 Eqn 1
y/24 = 3/4 Eqn 2
Multplying by 24 on both sides of Eqn 2
Putting y=18 in Eqn 1;
Multiplying both sides by 18
Putting both values in Eqn 1
As 12 and 18 are multiples of 6;
x=12 and y=18 satisfies both the equalities.
Keywords: fraction, division
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Let L and S represent the weights of large and small boxes, respectively. The problem statement gives rise to two equations:
.. 7L +9S = 273
.. 5L +3S = 141
You can solve these equations various ways. Using "elimination", we can multiply the second equation by 3 and subtract the first equation.
.. 3(5L +3S) -(7L +9S) = 3(141) -(273)
.. 8L = 150
.. L = 150/8 = 18.75
Then we can substitute into either equation to find S. Let's use the second one.
.. 5*18.75 +3S = 141
.. S = (141 -93.75)/3 = 15.75
A large box weighs 18.75 kg; a small box weighs 15.75 kg.
Answer:
600 was invested at 8% and $400 at 5%
Step-by-step explanation:
Let x represent the amount of $ invested at 8% and y the amount at 5%.
Then x + y = $1000 is the total investment. Therefore, y = 10000 - x
Interest earned is then:
0.08x + 0.05(y) = 68, or (after substitution)
0.08x + 0.05(1000) - 0.05x = 68
0.08x + 50 - 0.05x = 68, or
0.03x = 18. Dividing both sides by 0.03, we find that x = 18/0.03 = 600.
If x = $600, then y = $1000 - $600 = $400.
$600 was invested at 8% and $400 at 5%.
Answer: A. 4
Im in high school this is simple math so. Your welcome
Answer:
Step-by-step explanation:
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
