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Helga [31]
2 years ago
12

The average cost of gas where you live is $3.50 per gallon, you are trying to decide whether to buy a hybrid or standard car. Th

e hybrid gives you 45 miles per gallon, and the standard gives you 25 mpg, the hybrid car costs $8,960 more than the standard.
What’s is the minimum miles you would need to drive in order for your savings on fuel to surpass the additional cost of the hybrid vehicle?


Please help!
Mathematics
2 answers:
Paladinen [302]2 years ago
6 0

Answer:

Step-by-step explanation:

Sindrei [870]2 years ago
3 0

Answer:

d

Step-by-step explanation:

d

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Lyman Company returned $750 of goods it had purchased from another company. The original invoice was for $4,200, 3/10, n/30. Wha
Scilla [17]
Calculation: 
<span>3/10   </span><span><span>             3---------></span>3% discount</span><span><span>     
                      10--------></span>the days in the discount period, the company has 10 days to pay the bill in full.</span> 

Therefore

Lyman pays the balance within the discount period

 ($4,200 – $750) x .03 = $103.50

the discount is <span>$103.50</span>

4 0
1 year ago
Leena walked 2/3 of a mile What is 2/3 written as a sum of unit fractions with the denominator of nine
aliya0001 [1]
Bear in mind that multiplying anything, and anything whatsoever by 1, has a product of the anything itself.

so, let's multiply 2/3 by 1 then and check about,

\bf \cfrac{same}{same}=1\qquad thus\cfrac{2}{3}\cdot 1\implies \cfrac{2}{3}\cdot \cfrac{3}{3}\implies \cfrac{6}{9}&#10;\\\\\\&#10;\textit{now, we can split that and write it as a sum}\implies \cfrac{1+5}{9}\implies \cfrac{1}{9}+\cfrac{5}{9}
3 0
2 years ago
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each h
Maksim231197 [3]

Answer:

D. 42

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Triangle L N M is shown. Angle L N M is a right angle. An altitude is drawn from point N to point O on side L M, forming a right
zaharov [31]

Answer:

Therefore the value of k = 6.

Step-by-step explanation:

Given:

LN = m

NM = l

OM = k

NO = 4

LO = 8

LM = 8 + k and

Δ LNM ,Δ LON and Δ MON are right Triangle.

To Find :

Om = k = ?

Solution:

In Right angle Triangle By Pythagoras Theorem we have,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

So, In Right angle Triangle Δ LON we have,

LN² = ON² + OL²

m² = 4² + 8²

m² = 80   ............( 1 )

Now in  Right angle Triangle Δ MON we have,

MN² =  ON² + MO²

l² = 4² + k² ....................( 2 )

Now In Right angle Triangle Δ LNM we have,

LM² = LN² + MN²

(8 + k)² = m² + l² .................( 3 )

Substituting equation  1 and equation 2 in equation 3

(8+k)² = 80 + 4² + k²

Applying (A+B)² = A² +2AB + B² we get

64 + 16k+k^{2} = 80+ 16 +k^{2} \\\\16k=96\\\\\therefore k=\frac{96}{16} \\\\\therefore k=6

Therefore the value of k = 6.

4 0
1 year ago
Read 2 more answers
A coin will be flipped repeatedly until the sequence TTH (tail/tail/head) comes up. Successive flips are independent, and the co
padilas [110]

Answer:

P = \frac{1}{3}

Step-by-step explanation:

The calculation of the value of p minimizes is shown below:-

We will assume the probability of coming heads be p

p(H) = p

p(T) = 1 - P

Now, H and T are only outcomes of flipping a coin

So,

P(TTH) = (1 - P) = (1 - P) (1 - P) P

= (1 + P^2 - 2 P) P

= P^3 - 2P^2 + P

In order to less N,TTH

we need to increase P(TTH)

The equation will be

\frac{d P(TTH)}{dP} = 0

3P^2 - 4P + 1 = 0

(3P - 1) (P - 1) = 0

P = 1 and 1 ÷ 3

For P(TTH) to be maximum

\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}

= 6P - 4

and

(6P - 4) is negative which is for

P = \frac{1}{3}

5 0
2 years ago
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