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mihalych1998 [28]
3 years ago
13

Fill the missing number to make an equivalent ratio : 40 cars : 32 trucks = 5 cars : ? Trucks

Mathematics
2 answers:
Stels [109]3 years ago
5 0

Answer:

4 Trucks

Step-by-step explanation:

40/32 = 5/x

cross multiply

40x=160

divide by 40

4=x

yulyashka [42]3 years ago
5 0
4 trucks- have a nice day
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Read 2 more answers
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes
Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2\times 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 \times 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled \triangle AOB.

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = \dfrac{Total\ distance}{Total\ time}

\Rightarrow \dfrac{74.28}{5} = 14.86\ knots

6 0
3 years ago
answer whether or not 2/3 of 3/4 of a pan of brownies is the same amount as 3/4 of 2/3 of a pan of brownies
Tom [10]
Truthfulness check:

\frac{2}{3} * \frac{3}{4} =  \frac{3}{4} * \frac{2}{3}
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3 years ago
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