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lorasvet [3.4K]
2 years ago
6

A car travels 470.7 kilometers on 52.3 liters of gas. How much gas will it need to go 345.6 kilometers?

Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0

Answer:

38.4[litres].

Step-by-step explanation:

1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};

2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].

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Two boys decided to buy a computer. The second boy had 5/6 of the money the first had. The first boy had 7/8 of the price of the
UNO [17]

Answer:

The price of the computer is $1,152

Step-by-step explanation:

Let the price of the computer be $x

The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8

The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48

Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696

Mathematically, this can be represented as;

7x/8 + 35x/48 = x + 696

(42x + 35x)/48 = (x + 696)

77x/48 = (x + 696)

77x = 48(x + 696)

77x = 48x + 33408

77x - 48x = 33408

29x = 33, 408

x = 33,408/29

x = $1,152

7 0
3 years ago
Solve each of the following for the indicated variable.a. 9 − 6 = 54 for yb. = 2 + 2 for l
marta [7]

Answer:

\begin{gathered} y=\frac{9}{6}x-9 \\ l=\frac{P}{2}-w \end{gathered}

Step-by-step explanation:

To solve the following equations, we need to isolate the variable asked using inverse operations to solve equations.

Remember that addition and subtraction are inverse operations, as multiplication and division.

Therefore,

\begin{gathered} a\text{. Solve for y} \\ 6y=9x-54 \\ y=\frac{9}{6}x-\frac{54}{6} \\ y=\frac{9}{6}x-9 \end{gathered}\begin{gathered} b\text{. Solve for l} \\ P=2l+2w \\ 2l=P-2w \\ l=\frac{P}{2}-\frac{2}{2}w \\ l=\frac{P}{2}-w \end{gathered}

4 0
1 year ago
Find the slope of every line that is perpendicular<br> to this one
ArbitrLikvidat [17]

Answer:

1

Step-by-step explanation:

The slope of this line is -1 or -1/1, and to find the perpendicular slope you find the opposite of the reciprocal, which in this case would be 1/1 which simplifies to 1.

7 0
4 years ago
What is the product of one half and two thirds?
attashe74 [19]

Answer:

1/4

Step-by-step explanation:

1/2 × 2/3

= 1×3 = 1

2×2 = 4

Therefore,

1/2 × 2/3 = 1/4//

4 0
3 years ago
If 11! = 39,916,800, then 12!/4! =
Scrat [10]
12! / 4!
= 1×2×3×4×5×6×7×8×9×10×11×12 / 1×2×3×4
= 5×6×7×8×9×10×11×12 = 19958400
8 0
3 years ago
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