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2 years ago

What is the unit rate of 286 miles in 5 in a half hours?

2 answers:

4 0

The answer is: " 52 mi / h " ; or, write as: " 52 m.p.h. " .
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Explanation:
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Given:
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"286 mi per 5.5 h " ; or, "(286 mi / 5.5 h)" ;

→ Convert to "miles per (unit hour, or single hour)" .
___________________________________________________________
So; 286 mi / 5.5 h = (286/5.5) mi / h = "52 mi / h" ; or, write as: "52 m.p.h." .
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konstantin123 [22]2 years ago

3 0

286/5.5=52 miles per hour<span />

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If each of the cubes in a Rubik's Cube represented 1 cubic inch, what would be the volume of the Rubik's Cube?

kicyunya [14]

Answer:

The volume of the Rubik's Cube is 27 in^3

Step-by-step explanation:

Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.

We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.

Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.

Now we know that each one of these small cubes has a volume of 1 in^3

Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:

V = 27*( 1 in^3) = 27 in^3

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2 years ago

There are 12 donuts in a dozen. You are allowed to eat 2. How many different combinations of donuts could

Eddi Din [679]

Answer:

Step-by-step explanation:

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2 years ago

The sum of two consecutive negative integers is -171. What is the number closest to zero?

Anton [14]

Consecutive numbers are always 1 away from each other
3,4

so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
subustitute
x+1=otehr number
x+1=-86+1=-85
answer is -85 and -86

6 0

2 years ago

In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin

Mademuasel [1]

Answer: $7\frac{5}{7}$ unit and 18 unit

Step-by-step explanation:

Let ABCD is a trapezoid where AB and CD are the bases. ( In which AB is greatest base which shown in below figure)

AD and BC are the legs of the trapezoid ABCD.

Now, we have ( According to the question ),

AB = 18 unit, BC = 7 unit, AD = 3 unit and DC = 11 unit.

Here the leg AD extends from point D.

Similarly leg BC extends from point C.

Let they meet at point P ( shown in below diagram)

Since In triangles PAB and PDC,

∠PDC ≅ ∠PAB ( because DC ║ AB )

And, ∠ PAB ≅ ∠ PBA

∠DPC ≅ ∠ APB ( reflexive)

Therefore, By AAA similarity postulate,

$\triangle PDC \sim \triangle PAB$

Thus, By the definition of similarity,

$\frac{PD}{PA} = \frac{DC}{AB}$

$\frac{PD}{PD+3} = \frac{11}{18}$ ( because PA = PD+DA)

⇒ 18 PD = 11 PD +33

⇒7PD = 33

⇒ PD = 33/7

Again by the definition of similarity,

$\frac{PC}{PB} = \frac{DC}{AB}$

$\frac{PC}{PC+7} = \frac{11}{18}$ ( because PB = PC + CB)

⇒ 18 PC = 11 PD +77

⇒7PC = 77

⇒ PC = 11

Thus, PA = PD+DA = 33/7 + 3 = $7\frac{5}{7}$

And, PB = PC + CB = 11 + 7 = 18

8 0

2 years ago

I need help with finding x<br> ANSWER ASAP!!!!!!!!!!

arsen [322]

The value of x is 36.

Solution:

Given angles of a triangle are 2x°, 2x° and x°.

To find the value of x:

<em>Sum of the all the angles of a triangle = 180°</em>

2x° + 2x° + x° = 180°

5x° = 180°

Divide by 5 on both sides of the equation.

x° = 36°

x = 36

The value of x is 36.

3 0

2 years ago