Answer:
c = 15/2
Step-by-step explanation:
Multiply both sides of the equation by 9, then reduce the fraction.
9(5/6) = c
15/2 = c
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<em>Alternate methods</em>
You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...
9(5) = 6(c)
Then you would divide by the coefficient of c to get ...
(9·5)/6 = c = 15/2
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Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.
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The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...
18(5/6) = 18(c/9)
15 = 2c
Now, dividing by the coefficient of c gives ...
15/2 = c
The correct answer would be that the statement is true. <span>The point-slope form of a line is y + y1 = m(x + x1), where m is the slope and (x1, y1) is a point on the line. This form of the equation of the line is helpful especially when you are asked to find the equation of the line given a point and the slope.</span>
[8] The hypotenuses must be congruent, DE and IJ
HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.
Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.
[9] Another leg, AC and YX
LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.
[10] A leg, DE and E? or FE and E?
LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.
-> The question marks are because the letters are too blurry to read.
<u>Answer</u>
Incorrect
<u>Explanation</u>
Unpack the problem:
Let the distance round the track to be X.
Speed is the ratio of distance to time.
Robert run a distance of (1/2)x
Elaine run a distance of (3/4)x
Make a plan:
Finding the speed of each.
Compare their speeds to determine who ran faster than who.
Solution:
Robert's speed =(1/2)x/(5/6)
=1/2×6/5x
= (3/5)x
= 0.6x
Elaine's speed = (3/4)x/(9/10)
= (3/4)×(10/9)x
= (5/6)x
= 0.83333x
<em>Elaine ran faster than Robert. </em>
<u>Look back and explain:</u>
0.83333x > 0.6x
Elaine's speed is higher than Robert's speed.
This shows that Elaine ran faster than Robert.
Answer:
112/200
Step-by-step explanation:
To find an equivalent fraction with a new denominator you can simply multiply by 1. However, you must multiply by different forms of 1. Remember that any number divided by itself is equal to 1. Additionally, because of the identity property of multiplication, any number multiplied by 1 is still equivalent.
In this case, you should multiply by a fraction that will make 25=200. To get 200 from 25 you must multiply by 8. So, multiply the whole fraction by 8/8. This gives you (14/25)*(8/8)=112/200.
