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Olin [163]
3 years ago
9

Jay has lost his mother’s favorite necklace, so he will rent a metal detector to try to find it. A rental company charges a one

time rental fee of $15 plus $2 per hour to rent a metal detector. Jay has only $35 to spend. What is the maximum amount of time he can rent the metal detector?
Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0

Answer:

10 hours

Step-by-step explanation:

Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:

15 + 2x = 35

Subtract 15 from both sides

2x = 20

Divide by 2 on both sides

x = 10

miss Akunina [59]3 years ago
7 0

Answer:

he can rent it for 10 hours

Step-by-step explanation:

35 - 15 = 20

20 divided by 2 equals 10

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Suppose the radius of a circle is 3 units. What is its cercumference?
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Given that A and B are true and X and Y are false, determine the truth value of the following proposition: ~[(A ⊃ Y) v ~(X ⊃ B)]
Anni [7]

Answer:

The value of the proposition is FALSE

Step-by-step explanation:

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ ~X) v (B ⊃ X)]

Let's start with the smallest part: ~X. The symbol ~ is negation when X is true with the negation is false and vice-versa. In this case, ~X is true (T)

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ T) v (B ⊃ X)]

Now the parts inside parenthesis:  (A ⊃ Y),(X ⊃ B),(A ≡ T) and (B ⊃ X). The symbol ⊃ is the conditional and A ⊃ Y is false when Y is false and A is true, in any other case is true. The symbol ≡ is the biconditional and A ≡ Y is true when both A and Y are true or when both are false.

(A ⊃ Y) is False (F)

(X ⊃ B) is True (T)

(A ≡ T) is True (T)

(B ⊃ X) is False (F)

~[(F) v ~(T)] ⋅ [~(T) v (F)]

The two negations inside the brackets must be taken into account:

~[(F) v F] ⋅ [F v (F)]

The symbol left inside the brackets v is the disjunction, and A v Y is false only  with both are false. F v (F) is False.

~[F] ⋅ [F]

Again considerating the negation:

T⋅ [F]

Finally, the symbol ⋅ is the conjunction, and A v Y is true only with both are true.

T⋅ [F] is False.

5 0
3 years ago
If AC = 3, BC = 5, and AB = 7, find AD:<br> 2 5/8<br> 4 1/5<br> 4 3/8<br> 11 2/3
Vesna [10]

Answer:

1.  2\frac{5}{8}  

Step-by-step explanation:

We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

We can set up an equation as:  

\frac{AC}{AD}=\frac{BC}{BD}

Upon substituting our given values we will get,

\frac{3}{AD}=\frac{5}{(7-AD)}}

Cross multiplying our equation we will get,

5AD=3*(7-AD)

5AD=21-3AD

5AD+3AD=21

8AD=21

AD=\frac{21}{8}

AD=2\frac{5}{8}

Therefore, the length of AD is 2\frac{5}{8} units and 1st option is the correct choice.

6 0
3 years ago
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