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NISA [10]
2 years ago
7

Lisa descended 120 feet into a cave. She then climbed up 56 feet. If her starting point was 38 feet below sea level at the mouth

of the cave, what is lisa elevation to sea level now?
Mathematics
1 answer:
EastWind [94]2 years ago
6 0

Answer:

-102

Step-by-step explanation:

-38

<u>-120</u>

-158

<u>+56</u>

-102

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A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Fi
Jobisdone [24]

Answer: there are 36 tourists.

Step-by-step explanation:

Ok, we have two integer numbers:

T, the number of tourists and S, the number of seats.

Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.

Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.

This means that T is a common multiple of 4 and 6

Now, we also know that 25 < T < 45.

Then let's see which ones are the multiples of 4 between 25 and 45.

4*7 = 28

4*8 = 32

4*9 = 36

4*10 = 40

4*11 = 44.

Now, the multiples of 6 in that range are:

6*5 = 30

6*6 = 36

6*7 = 42.

You can see that 36 is a common multiple, other way to see it is:

4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6

So the numer of tourist must be 36.

8 0
3 years ago
Evaluate f(0)<br> f(x) = - 4x + 9
german
F(0)= -4(0)+9
F(0)= 0+9
F(0)=9
4 0
2 years ago
PORFAVOR ALLUDENME :( El estanque de combustible de un automóvil contiene x litros de gasolina, se consumen 25 litros en un prim
stellarik [79]

Responder:

c. x menos 25 menos estilo en línea fracción 4 entre 19 fin estilo paréntesis izquierdo x menos 25 paréntesis derecho igual 3

Explicación paso a paso:

Dado lo siguiente:

Cantidad original de gasolina en el tanque de combustible = x

Gasolina consumida en el primer viaje = 25 litros

Gasolina restante después del primer viaje = (x - 25) litros

Gasolina consumida en el segundo viaje = 4/19 de lo que queda, es decir;

(4/19) * (x - 25)

Gasolina restante después del segundo viaje = 3 litros

Cantidad inicial - cantidad consumida en el primer viaje - 4/19 de la cantidad restante después del primer viaje = 3

La gasolina que queda después del segundo viaje se puede modelar mediante la ecuación:

x - 25 - 4/19 (x - 25) = 3

3 0
3 years ago
One fourth of 12 bottles of water equals how many bottles
likoan [24]
One-fourth of 12 bottles of water would equal 3 bottles of water
7 0
3 years ago
How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a
lesya [120]

Answer:

  • C. 0.7 yd³

Step-by-step explanation:

<u>Find the volume of cylinder:</u>

  • V = πr²h

<u>Convert the dimensions into yards:</u>

  • d = 24 inches = 24/36 yards = 2/3 yards ⇒ r = 1/2d = 1/2*2/3 = 1/3 yards
  • h = 6 feet = 6/3 yards = 2 yards

<u>Find the volume by substituting the values:</u>

  • V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

3 0
2 years ago
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