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Sonja [21]
3 years ago
7

Last week Jason had 43 dollars. He washed cars over the weekend and

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer:

44

Step-by-step explanation:

87-43= 44 meaning he gained $44 from washing cars

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Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. What is the volume of paint in the can? (to nearest whole
alukav5142 [94]
Divide 14 by 2 to get the radius and plug into formula.
pi 7^2 16
pi 49 16= pi784=2462.7
2463 cm3 is the answer 
5 0
3 years ago
​Combined, there are ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Afric
yanalaym [24]

There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

 

  • A.S + A.F + E.U + A.M = 177
  • A.S = A.F + E.U + 69
  • E.U - A.M = 13
  • E.U = A.M + 13
  • 2A.F = E.U + A.M + 29
  • A.F + E.U + 69 + A.F + E.U + A.M = 177
  • A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177
  • 2A.F + 3A.M = 177 - 13 - 13 - 69
  • E.U + A.M + 29 + 3A.M = 82
  • A.M + 13 + A.M + 29 + 3A.M = 82
  • 5A.M = 82 - 13 - 29
  • A.M = 40/5
  • A.M = 8
  • E.U = 8 + 13 = 21
  • A.F = (21 + 29) / 2 = 25
  • A.S = 177 - 25 - 21 - 8 = 123

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

Learn more about maths in brainly.com/question/25818763

3 0
3 years ago
To which subset of real numbers does the number one-fifth belong?
vredina [299]
The answer is B, rational numbers :)
5 0
3 years ago
(a) Let R = {(a,b): a² + 3b <= 12, a, b € z+} be a relation defined on z+)
grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0
2 years ago
Which inequality has (–2.5, –4.5) as part of the solution set?
Debora [2.8K]

Answer:

the answer is c (x+2)^2/16 + (y+6)^2/16 <1

Step-by-step explanation:

on edge 2021 unit test got it right

3 0
3 years ago
Read 2 more answers
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