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Alinara [238K]
3 years ago
15

What is 3/4 - 7/9 + 2/3

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0

Answer:

\frac{23}{36}

Step-by-step explanation:

→ Find the LCM of 4, 9 and 3

36

→ Make the denominators of the fractions 36

\frac{3}{4} -\frac{7}{9} +\frac{2}{3} =\frac{27}{36} -\frac{28}{36} +\frac{24}{36}

→ Now simplify

\frac{27}{36} -\frac{28}{36} +\frac{24}{36} =\frac{23}{36}

Ainat [17]3 years ago
4 0

Step-by-step explanation:

please mark me as brainlest

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Can someone help me solve this step by step?
patriot [66]

Answer:

41 and 77

Step-by-step explanation:

x: his age the first time he went to space

y: his age the second time he went to space

the second time he went to space he was 5 years younger than twice the age when he went his first time, then:

y = 2x - 5

the sum of both ages is 118, then:

x + y = 118

If you replace y = 2x - 5 in x + y =118:

x + 2x - 5 = 118

3x = 123

x = 41

replacing x:

41 + y = 118

y = 118 - 41

y = 77

so when he was 77, he was 5 years younger than twice 41 ( 41*2 = 82 => 82 - 5 =77)

4 0
3 years ago
9. The mass of a dust particle is 0.000000000753 kg, which can be written as 7.53 x 100
never [62]

Answer:

7.53 x 10²

Step-by-step explanation:

10² two time the 10 is 100

4 0
3 years ago
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What is the mean absolute deviation of the following numbers? 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4
maks197457 [2]
The MAD is 4.32. To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean
6 0
3 years ago
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The distance from 2nd base to home plate.
Ratling [72]

Answer:

127.3 ft

Step-by-step explanation:

Make it a right triangle...

ΔABC is 90 by 90 by x

x = \sqrt{90^2+90^2}

x = \sqrt{8100+8100}

x = \sqrt{16200}

x = 127.3 ft

4 0
3 years ago
Philip shoots an arrow from the top of a hill into the ground. the flight of the arrow can be modeled with the quadratic functio
Sati [7]

Answer:

(a)Time taken to reach the ground, x=6 seconds

(b)Maximum height of the arrow during its flight =101.25 feet

Step-by-step explanation:

Given the quadratic function which models the flight of the arrow:

y=-5x^2+15x+90

Where:

  • y represents the vertical height of the arrow, in meters; and
  • x represents the time, in seconds.

(a)Positive Zero

-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6

In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.

(b)

y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25

Comparing with the vertex form:

y=a(x-h)^2+k

Our vertex, (h,k)=(1.5, 101.25)

Maximum Value of y=101.25

The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.

3 0
4 years ago
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