2 years ago

The sum of two numbers is 107, the difference is 51. Find the numbers. Answer : The numbers are

Mathematics

1 answer:

Fynjy0 [20]2 years ago

8 0

Answer:

The answer is 56.

Others are 50 + 57 = 107, 44 + 63 = 107, and 39,68

Step-by-step explanation:

107-51 = 56

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1/4 K +1/4 M -2/3 K +5/9 M simplified

solniwko [45]

Answer:

-5/12k -11/36m

Step-by-step explanation:

4 0

2 years ago

One leg of a right triangle is 7 inches longer than the smaller leg and the hypotenuse is 8 inches longer than the smaller leg.

Makovka662 [10]

Smaller leg = x
longer leg = y
hypotenuse = z

y=x+7
z=x+8

due to
${z}^{2} = {x}^{2} + {y}^{2} \\ (x + 8) ^{2} = {x}^{2} + (x + 7) ^{2} \\ {x}^{2} + 16x + 64 = {x}^{2} + {x}^{2} + 14x + 49 \\ {x}^{2} + 16x + 64 = 2 {x}^{2} + 14x + 49 \\ {x}^{2} - 2 {x}^{2} + 16x - 14x + 64 - 49 = 0 \\ - {x}^{2} + 2x + 15 = 0 \\ {x}^{2} - 2x - 15 = 0 \: \: (multiplied \: by \: - 1) \\ (x - 5)(x + 3) = 0 \\ then \: \: x = 5 \: \: or \: \: x = - 3$
but x cannot be -3
so smaller leg is 5 inches

then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches

3 0

2 years ago

Which of the following expresses the ratio of 3 inches to 2 yards?

Over [174]

$1\ yard=36\ inches\\
ratio:3\ inches:2\ yards\\
2\ yards=72\ inches\\
\\
ratio:
3:72[inches]\\
The\ correct\ answer\ is\ B.$