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Firlakuza [10]
3 years ago
8

Stella took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $1.50 per mile. The total

fare was $29.70, not including the tip. How many miles was the taxi ride?
Mathematics
2 answers:
mafiozo [28]3 years ago
5 0

Answer:

19 miles

Step-by-step explanation:

29.70 minus 1.20 equals 28.50.

28.50 divided by 1.50 per mile equals 19.

Natali [406]3 years ago
4 0

1.50 × 19=28.5

28.5+1.20=29.70

19 miles

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What are the solutions to the equation e^1/4x =|4x|
Ivan

Answer:

x=0.27

Step-by-step explanation:

The given expression is

e^{\frac{1}{4}x}=|4x|

To solve this equation, we graph the functions:

f(x)=e^{\frac{1}{4}x}

and

g(x)=|4x|

From the graph, the two curves intersects at x=-0.24 and x=0.27.

But the domain of the logarithmic function is x>0

Therefore x=0.27

4 0
3 years ago
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Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) she can raise wit
madam [21]
4c = 14z.
1c = 3.5z.
10c = 35z.
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8 0
2 years ago
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What is the following product?
KiRa [710]

ANSWER

2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

EXPLANATION

The given product is:

( \sqrt{14}  -  \sqrt{3} )( \sqrt{12} +  \sqrt{7}  )

We expand using the distributive property to obtain:

\sqrt{14}( \sqrt{12} +  \sqrt{7}) -\sqrt{3}( \sqrt{12} +  \sqrt{7}  )

Extract the perfect squares to get:

\sqrt{14}(2 \sqrt{3} +  \sqrt{7}) -\sqrt{3}( 2\sqrt{3} +  \sqrt{7}  )

Expand further to get;

2 \sqrt{42} +7  \sqrt{2}- 2(3)   - \sqrt{21}

This simplifies to,

2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

5 0
3 years ago
If the order of three loci is A B C, and the map distance between A and B is 15 m.u., and the map distance between B and C is 20
zysi [14]

Answer:

Therefore, we conclute that the map distance between A and C is 35 m.u..

Step-by-step explanation:

We know that the order of three loci is A B C, and the map distance between A and B is 15 m.u., and the map distance between B and C is 20 m.u. We calculate the map distance between A and C.

Therefore, we get

AC=AB+BC\\\\AC=15+20\\\\AC=35\\

Therefore, we conclute that the map distance between A and C is 35 m.u..

4 0
2 years ago
Show questions
cupoosta [38]

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 =  $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

7 0
2 years ago
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