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GenaCL600 [577]
3 years ago
7

a family biys airline tickets online. each ticket costs $167. the family buys travel insurance with each ticket that costs $19 p

er ticket. the web site charges a fee of $16 for the entire purchase. the family is charged a total of $1132. how many tickets did the family buy?
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0
167 + 19 = 186x

186x + 16 = 1132

subtract 16 from both sides

186x = 1116

divide by 186 on both sides

x = 6

they bought 6 tickets total
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At the Tucson Zoo, Jason spends $6.00 to enter the zoo and $2.00 per animal to feed them. Meanwhile, at the Phoenix Zoo, Kim spe
shtirl [24]

Answer:

3 animals

Step-by-step explanation:

  1. combine like terms
  • 6 + 2x = 15 + x
  • -6   +  x   - 6  - x

     --------------------------

         3x = 9

     2. divide both sides by 3

  • 3x/ 3 = 9/3
  • x = 3        
8 0
3 years ago
PLEASE HELP!!<br> Factor <br> 6x^2-42x-54<br><br> Please show work!
skad [1K]

first, rewrite 54 as 6•9

next, rewrite 42 as 6•7

then, that gets you 6x^2 -6•7x- 6•9

lastly, factor out the common term (6)

and then you get 6(x^2-7x-9)

<u>please mark as brainliet <3</u>

6 0
3 years ago
En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec
elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².  

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁  (1)  

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):      

l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm  (2)            

a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm   (3)    

El perímetro del rectángulo interno es:

P_{2} = 2l_{2} + 2a_{2}    (4)

Introduciendo la ecuación (2) y (3) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm  

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

 

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

l_{2} = 2a_{2}     (5)

Introduciendo (5) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}

a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm

l_{2} = 2a_{2} = 2*12 cm = 24 cm

Entonces el área es:

A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².      

Espero que te sea de utilidad!  

7 0
3 years ago
Authur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189 to buy the new coat that he w
Nady [450]

Answer:

136+ m ≥ 189 is the required inequality : m: The earning in 4th week

Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least $189.

Step-by-step explanation:

The amount earned by Arthur in first 3 weeks = $136

The amount needed to buy a coat = AT LEAST $189

Let us assume the amount Arthur needs to earn more to buy  coat = $m

⇒ $ 136 + Amount Earned in 4th week  ≥ $189

⇒ 136+ m ≥ 189

The above equation is the NEEDED inequality of the given situation.

Now, solving for the value of m, we get:

136+ m ≥ 189

⇒  m ≥ 189 - 136 = 53

or, m ≥ $53

Hence, Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least 189.

3 0
3 years ago
John wants to buy a new bike that cost 337 and he already has saved 103. Estimate to find about how much more John needs to save
Ede4ka [16]
We can round numbers to estimate.

337 is approximately 340.
103 is approximately 100.

340 - 100 = 240

John needs to save around $240 more in order to be able to afford the bike.

Hope this helps!
8 0
3 years ago
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