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WITCHER [35]
3 years ago
8

use the substitution method to solve the system of equations . choose the correct ordered pair. 2x = 3y = 29, x=4

Mathematics
1 answer:
insens350 [35]3 years ago
5 0
2(4) + 3y = 29
8+3y=29
-8        -8
3y=21
/3    /3
y=7
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5. Using only odd numbers for numerators,
Lady bird [3.3K]

Answer:

  • 3/4 - 1/4 = 1/2
  • 5/8 - 1/8 = 1/2

Step-by-step explanation:

You can pick just about any fraction with an odd numerator and find another at distance 1/2 from it.

For example, 5/7 - 1/2 = 10/14 - 7/14 = 3/14. So your subtraction problem can be ...

  5/7 - 3/14 = 1/2

Choosing a denominator divisible by 4 can make both parts of the problem use the same denominator.

  3/4 - 2/4 = 1/4, so the corresponding subtraction problem is 3/4 - 1/4 = 1/2.

  5/8 - 4/8 = 1/8, so the subtraction problem is 5/8 -1/8 = 1/2.

4 0
3 years ago
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the
kolbaska11 [484]

Answer:

Volume of cylinder = \pi r^2h

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = \pi r^2

Area of square = s^2

Side of square = diameter of circle= D^2

Diameter = 2r

∴ Area of square=  2r^2=4r^2

\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}

Area of circle is \frac{\pi }{4}  of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = 4r^2h

Volume of cylinder = Area of circle × h = \pi r^2h

Now, rate

\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}

⇒Volume of cylinder is  \frac{\pi }{4}  of Volume of prism.

Volume of Cylinder =\frac{\pi }{4}\times Volume of prism

Volume of cylinder = \frac{\pi }{4}\times 4r^2h

Volume of cylinder = \pi r^2h

6 0
3 years ago
Read 2 more answers
I-Ready
Westkost [7]

Answer:

1/3 feet.

Step-by-step explanation:

The length = area / width

= 7/9 / 2 1/3

= 7/9 / 7/3

= 7/9 * 3/7

= 3/9

= 1/3 feet,

7 0
4 years ago
Read 2 more answers
BESTIE HELP ME OUT AHANUZBSUAB
attashe74 [19]

Answer:

1 4/5

Step-by-step explanation:

6 - 4 1/5 = x

6/1 - 21/5 = x

6/1 x 5/5 = 30/5

30/5 - 21/5 = 9/5

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3 years ago
What are the solutions of x2 +6x-6= 10?
Ivenika [448]

Answer:

the answer is X=-8 or X= 2

Step-by-step explanation:

subtract 10 from both sides in order to eliminate 10.

x^2 + 6x -16

find two factors of -16 that sum up to 6.

-2 and 8 are two factors of -16 that sum up to 6.

(x-2)(x+8)

x-2= 0, x= 2

x+8= 0, x = -8

5 0
3 years ago
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