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Vikentia [17]
3 years ago
12

In England, mass is measured in units called stones. One pound equals 1/14 of stone. A cat has a mass of 3/4 stone. What is it's

mass of pounds?
Mathematics
2 answers:
kogti [31]3 years ago
5 0
1 pound = 1/14 stone
[multiply by 14]
14 pounds = 1 stone
[multiply by 3]
42 pounds = 3 stone
[divide by 4]
42 / 4 pounds = 3/4 stone
[simplify]
21 /2 = 10.5 pounds = 3/4 stone
maks197457 [2]3 years ago
3 0

If one pound is equal to 1/14 of stone, then one stone is equal to 14 pounds.

A cat has a mass of 3/4 stone. Then you have to find 3/4 from 14 pounds. So

\dfrac{3}{4}\cdot 14=\dfrac{3\cdot 14}{4} =\dfrac{3\cdot 7}{2}=\dfrac{21}{2}=10.5.

Answer: cat has a mass of 10.5 pounds.

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2 years ago
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Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
sleet_krkn [62]

Answer:

Set builder notation: {a | a ≥ -21}

Interval notation: [-21, ∞)

Step-by-step explanation:

A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.

Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.

Given -3a-15≤-2a+6; solving :

-3a - 15 ≤ -2a + 6

-3a + 2a ≤ 6 + 15

-a ≤ 21

dividing through by -1:

a ≥ -21

The solution is:

Set builder notation: {a | a ≥ -21}

Interval notation: [-21, ∞)

7 0
2 years ago
What number is between 0 and 1/3
antiseptic1488 [7]
1/6 should be the correct answer
7 0
3 years ago
Solve the inequality.
Vika [28.1K]

Answer:

Option C is correct

Step-by-step explanation:

      5c – 20 ≤ 15c + 10

<=> 5c - 15c ≤ 20 + 10

<=>-10c ≤ 30

<=> c ≥ -3

Hope this helps!

6 0
3 years ago
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Y = 6x - 4<br> y = -x + 3
likoan [24]

Answer:

  (1, 2)

Step-by-step explanation:

Subtract the second equation from the first:

  (y) -(y) = (6x -4) -(-x +3)

  0 = 7x -7 . . . . .  simplify

  0 = x - 1 . . . . . . divide by 7

  1 = x . . . . . . . . . add 1

  y = -1 +3 = 2 . . . substitute into the second equation

The solution is (x, y) = (1, 2).

4 0
3 years ago
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