1. On the first day of ticket sales, the school sold a total of 25 adult and child tickets. Each adult

Brittany's car gets 31 miles per gallon. Brittany's car used 24 gallons of gas on a round trip to see the ocean. How far away fr

shutvik [7]

Answer:

372 miles

Step-by-step explanation:

The appropriate relation is ...

miles = (miles/gallon) × gallons

distance = (31 mi/gal)×(24 gal) = 744 mi

Brittany drove 744 miles to see the ocean. Since this was her round trip distance, the one-way distance is ...

744 mi/2 = 372 miles

5 0

2 years ago

Can someone please help me factor this

Dmitry_Shevchenko [17]

Answer:

$\huge\boxed{\bf\:1}$

Step-by-step explanation:

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$

Take $\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 }$ & factorise it at first.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}$

Now factorise the next set : $\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$ .

$\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\= \frac{x-4}{x-1}$

Now, multiply the two simplified results.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}$

$\rule{150pt}{2pt}$

7 0

2 years ago

Anyone know what 5x-4=36 is? I’m looking to solve the (x).

k0ka [10]

Answer:

x=8

Step-by-step explanation:

add 4 to both sides

divide 40 by 5

then you are left with x=8

6 0

2 years ago

Read 2 more answers

The owners added a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet ta

Brrunno [24]

Answer:

43100

Step-by-step explanation:

A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?

Volume = length x width x height

or volume = area x height

Volume of the one- storey = 3700 x 8 = 29600 square feet

Volume of the second floor = 50 x 30 x 9 = 13500 square feet

volume of interior = 29600 + 13500 = 43100 square feet

7 0

2 years ago

What simplified common fraction is equivalent to $0.0\overline{57}$?

Blizzard [7]

Answer:

0

Step-by-step explanation:

0/57 is going to be 0 since you have 0 out of 57 pizzas.

4 0

2 years ago