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2 years ago

Solve the inequality and graph the solution x +1 2/5 _< 6 8/10

Mathematics

1 answer:

mixer [17]2 years ago

6 0

Answer: x < 5 $\frac{2}{5}$

Step-by-step explanation:

x + 1 $\frac{2}{5}$ < 6 $\frac{8}{10}$

x + 1 $\frac{2}{5}$ < 6 $\frac{4}{5}$

x < 5 $\frac{2}{5}$

graph is attached

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Use +,-,x, ÷ and parentheses to connect the numbers 1,3,5 and 7 such that the result is 24.

Alborosie

Answer: (3-1)×(7+5)

Step-by-step explanation:

There are mainly several ways to get 24

- 2×12

- 3×8

- 4×6

- add all of them together

- complicated ones can include large numbers minus another large number

Use try-check-revise, to find the way that fits 24

For this question, we used 2×12, which results in (3-1)×(7+5)

Hope this helps!! :)

Please let me know if you have any questions.

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3 years ago

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katrin [286]

Answer:

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Step-by-step explanation:

"sum" tells you to add the two numbers together.

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4 years ago

Is 1563/25 a rational number

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3 years ago

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IgorC [24]

Answer:

Step-by-step explanation:

5/8 = 20/32

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3 years ago

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Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

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3 years ago