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Inga [223]
3 years ago
13

Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion

detector when he was 2 feet in front of the motion detector. Fill in the blank in the sentence below. Mario is 11 feet from the motion detector at ____ a seconds
Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

6 seconds

Step-by-step explanation:

Initial distance of Mario from motion detector = 2 ft

Speed of Mario = 1.5 ft/sec

Total distance of Mario from motion detector = 11 ft

Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft

Given that:

Distance = 9 ft

Speed = 1.5 ft/sec

<em>Formula:</em>

Distance = Speed \times Time

\Rightarrow 9 =1.5 \times Time\\\Rightarrow Time = \dfrac{9}{1.5}\\\Rightarrow Time = \bold{6\ sec}

So, at <em>6 seconds</em>, Mario will be 11 ft from the motion detector.

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Mississippi has the lowest median income at 40.6 thousand dollars. Mississippi also has about 207 bachelor’s degrees per 1,000 p
horsena [70]

Answer:

178

Step-by-step explanation:

3 0
2 years ago
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Un apostador pierde en su primer juego el 30% de su dinero, en el segundo juego pierde el 50% de lo que perdió; finalmente en el
sergiy2304 [10]

Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

= 30/100 \ of \ x\\= 0.3x

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

0,3475x = 37

x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

= 106.48-79.86\\= 26.62

3 0
2 years ago
The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show
sattari [20]

Answer:

D. Q_3=47

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

Q_3=\frac{3}{4}*(n+1)^{\text{th term}}, where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

Q_3=\frac{3}{4}*(11+1)^{\text{th term}}

Q_3=\frac{3}{4}*(12)^{\text{th term}}

Q_3=3*3^{\text{th term}}

Q_3=9^{\text{th term}}

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0
3 years ago
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6th GRADE MATH:
murzikaleks [220]

Answer:

200 ounces

Step-by-step explanation:

200 ounces.  because each pound has 16 ounces and 12.5 pounds has 200 ounces

6 0
2 years ago
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Ming le invited 12 people to her chrismas party.(that is,there are total 13 people at her party )Each person have each other per
postnew [5]

Answer:

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Step-by-step explanation:

Given that Ming invited 12 people to her chrismas party, with a total of 13 people at her party, and each person have each other person a present, to determine how many presents were given the following logical reasoning must be performed:

Given that there are 13 people at the party, and each of them will bring a gift, by mathematical logic there will be 13 gifts distributed in the party.

6 0
2 years ago
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