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KiRa [710]
3 years ago
6

My car gets 23 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function

of the number of gallons of gas in the tank? Explain your reasoning.
Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The constant ratio (23 mi)/(1 gal) tells you the number of miles is a linear function of the number of gallons.

  miles = (miles/gallon) × gallons

  miles = constant × gallons . . . . . a linear function of gallons

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Please help!!!!!!!!!!!
Temka [501]

9514 1404 393

Answer:

  (d)  h = 2A/b

Step-by-step explanation:

Multiply both sides of the equation by the inverse of the coefficient of h.

  A = \dfrac{1}{2}bh=\dfrac{b}{2}\cdot h\\\\\dfrac{2}{b}\cdot A=h\\\\\boxed{h=\dfrac{2A}{b}}

4 0
3 years ago
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
Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
jonny [76]

Answer:  The answer is 400  blue marbles.


Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,

and number of blue marbles is

n_b=560-364=196.

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.

Thus, 400 blue marbles need to be added to the bag.


5 0
4 years ago
Read 2 more answers
6x+3y=15 .What does y equal if x=2 ?if x=5
bezimeni [28]
_Award brainliest if helped!
if x =2 ,  6(2) + 3y = 15 
3y = 15-12
y = 1
if x=5, 6(5) + 3 y = 15
3y = -15
 y= -5
8 0
3 years ago
Moselle is riding a roller coaster that is 155 feet high.
DerKrebs [107]

Answer:

91

Step-by-step explanation:

155-16s²

155- 16x2²

155- 16x4

155-64

91

5 0
3 years ago
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