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2 years ago

A car can go 35 1/2 miles in 1 1/2 miles gallons. How many gallons does a car need to go 639 miles?

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

4 0

Answer: 27 gallons

Step-by-step explanation:

Since the car can go 35½ miles in 1½ miles gallons, we need to first calculate the number of miles that the car can go in 1 gallon. This will be:

= 35½ / 1½

= 71/2 / 3/2

= 71/2 × 2/3

= 23⅔ miles per gallon.

Therefore, the amount of gallons that the car need to go 639 miles will be:

= 639 / 23⅔

= 639 ÷ 71/3

= 639 × 3/71

= 27

The car will need 27 gallons.

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Simplify -3+3(8x+4)

Zarrin [17]

Answer:

24x+9

Step-by-step explanation:

Simplify the expression.

24x+9

7 0

2 years ago

Read 2 more answers

I need help with this problem

Soloha48 [4]

Answer:

$3.\ \dfrac{3x}{11x}, \dfrac{6}{22}, \dfrac{9}{33},\dfrac{12}{44}$

$4. -18\\5.\ 400$

Step-by-step explanation:

Solution 3:

Equivalent fractions to are to $\frac{3}{11}$ be found out.

Method: By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.

1. Multiply with 2:

$\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}$

2. Multiply with 3:

$\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}$

3. Multiply with 4:

$\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}$

If we try to write in variable form, it can be written as:

$\dfrac{3x}{11x}$

where x is any number.

---------------

Solution 4:

$(2x-10)$ when $x=-4$

$2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18$

------------

Solution 5:

$(10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400$

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3 years ago

A passenger train and a freight train leave San Jose at 3PM, traveling in the same direction. The passenger train is going three

Liono4ka [1.6K]

Let's say that the speed of the freight train is $x$ and the one of the passenger train is $3x$ .

$x$ MPH means every hour the freight train covers $x$ miles., which means in 3h it will have covered 3 times as much: $3x$ mi.

Following the same logic, $3x$ MPH means every hour the passenger train covers $3x$ miles, meaning after 3h it will have covered 3 times as much as well: $9x$ mi.

Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:

$9x-3x=6x\\6x=240\\x=240/6\\x=40$