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LuckyWell [14K]
3 years ago
13

A boat travels from a port and moves 12 miles north and then moves 5 miles east. what is the present distance of the boat from t

he port?
Mathematics
1 answer:
Sedaia [141]3 years ago
5 0
What helped me find the answer if I am correct would be that I drew a number line to represent the distance the boat is moving from the port. The first thing I did was I drew an arrow pointing to the right all the was to the number 12 and then I drew another arrow pointing to the left to show that the boat moved 5 miles to the east and the the question asked now how many miles is the boat from the port so the answer would be 7 miles. P.s. Sorry this is soooo long.
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great rapids white water rafting company rents for $125 per hour. Explain why the point (0,0) and (1,125) are on the graph of th
Artist 52 [7]

(0,0) represents the very beginning of the rental period:  0 time has elapsed, and thus there is no charge.

(1,125) represents this situation 1 hour after the rental has begun, and shows that the amount due at that point for the rental is

$125.

5 0
3 years ago
Read 2 more answers
Simplify: (x + 7)(x-4)<br> A. 2r +3<br> B. 12-28<br> C. x2-3x - 28<br> D. x2 + 3x - 28
jeka57 [31]

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

7 0
3 years ago
En la preparación de un perfume se cuenta con dos tipos de esencia base: 1600 ml de una y 1680 ml de otra. Se quiere envasarlas,
Lostsunrise [7]

Answer:

33,600 frascos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encuentre y enumere los múltiplos de 1600 y 1680 hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

Múltiplos de 1600:

1600, 3200, 4800, 6400, 8000, 9600, 11200, 12800, 14400, 16000, 17600, 19200, 20800, 22400, 24000, 25600, 27200, 28800, 30400, 32000, 33600, 35200, 36800

Múltiplos de 1680:

1680, 3360, 5040, 6720, 8400, 10080, 11760, 13440, 15120, 16800, 18480, 20160, 21840, 23520, 25200, 26880, 28560, 30240, 31920, 33600, 35280, 36960

Por lo tanto,

LCM (1600, 1680) = 33,600

La menor cantidad de frascos necesarios es 33,600 frascos.

4 0
3 years ago
What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8
Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8  \ ln \ x-5=15.8-5$

Simplifying, we get,

8 \ ln \ x= 10.8

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of e^{1.35}$=3.85742... , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0
3 years ago
A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400 on a
RoseWind [281]

Answer:

$10

Step-by-step explanation:

$200 for the flat fee, then $400 X .05=$10

$10 is the amount made off of ticket sales.

7 0
3 years ago
Read 2 more answers
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