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elena-s [515]
3 years ago
5

The value of a car is inversely proportional to its age. if a car is worth ​$6400 when it is 6 years​ old, how old will it be wh

en it is worth ​$4800​?
Mathematics
1 answer:
Trava [24]3 years ago
3 0
It will be 8 years old when it is worth $4800.
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BRAINLIEST!!Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in h
xxMikexx [17]

Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

  • 80 - (18 · x) ≥ 20
  • 80 is how much money Felicia has; 18 is for the cost of each CD; x is for the number of CDs; ≥ is no less; and 20 is how much money Felicia needs to have left.

1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

80 - 18 ≥ 20

62 ≥ 20

Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

80 - 18 · 2 ≥ 20

80 - 36 ≥ 20

44 ≥ 20

Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

80 - 18 · 3 ≥ 20

80 - 54 ≥ 20

26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

80 - 72 ≥ 20

8 ≥ 20

Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

80 - 90 ≥ 20

- 10 ≥ 20

Since - 10 ≥ 20 is false, there is no solution.

4 0
3 years ago
Read 2 more answers
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is
puteri [66]

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

5 0
3 years ago
6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the
jeyben [28]

Answer:

A = 137.3cm^2

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

\cos(68) = \frac{7}{h} --- cosine formula

Make h the subject

h = \frac{7}{\cos(68)}

h = \frac{7}{0.3746}

h = 18.7

The area of the semicircle is then calculated as:

A = \frac{\pi h^2}{8}

This gives:

A = \frac{3.14 * 18.7^2}{8}

A = \frac{1098.03}{8}

A = 137.3cm^2

7 0
3 years ago
Find the distance between e (7,-2) and f (-2,-2)
Anettt [7]
(x,y)
y does't change makes it easier

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6 0
3 years ago
Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la
myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

\frac{178}{8}\,km = 22.25\,km

Martin

21\,km + \frac{3}{4}\,km = 21.75\,km

Santiago

21\,km + \frac{5}{12}\,km = 21.417\,km

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

x = 29.3\,km -22.25\,km

x = 7.05\,km

Martin

x = 29.3\,km - 21.75\,km

x = 7.55\,cm

Santiago

x = 29.3\,km - 21.417\,km

x = 7.883\,km

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}

\bar x = 21.889\,km

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

x = 21.75\,km - 21.417\,km

x = 0.333\,km

Martín recorrió 0.333 kilómetros más que Santiago.

3 0
3 years ago
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