All categories

2 years ago

What is -2/3 divided by 2 1/4=?

Mathematics

2 answers:

NeTakaya2 years ago

4 0

Answer:

-8/27

Step-by-step explanation:

-(2/3) ÷ (2 1/4 ) (convert 2 1/4 into improper fraction)

= -(2/3) ÷ (9/4) (convert ÷ to x by taking the reciprocal of 9/4)

= -(2/3) x (4/9)

= -(2 x 4) / (3 x 9)

= -8/27

Orlov [11]2 years ago

3 0

Answer:

-8/27

Step-by-step explanation:

Convert 2 1/4 into a improper fraction: 9/4

Rewrite the equation: -2/3 divided by 9/4

To divide fraction, multiply by the reciprocal of that fraction

Reciprocal of 9/4: 9/4

Multiply the fractions: -2/3 times 4/9

=-8/27

You might be interested in

Need help please help me

ANTONII [103]

Megan:
x to the one third power = $x ^{1/3}$
x to the one twelfth power = $x ^{1/12}$

The quantity of x to the one third power, over x to the one twelfth power is:
 $\frac{x ^{1/3}}{x ^{1/12}}$

Since $\frac{ x^{a} }{ x^{b} } = x ^{a-b}$
then $\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12}$

Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4

$\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12} = x^{1/4}$

Julie:
x times x to the second times x to the fifth = x * x² * x⁵

The thirty second root of the quantity of x times x to the second times x to the fifth is
 $\sqrt[32]{x* x^{2} * x^{5} }$

Since $x^{a}* x^{b}= x^{a+b}$
Then $\sqrt[32]{x* x^{2} * x^{5} }= \sqrt[32]{ x^{1+2+5} } =\sqrt[32]{ x^{8} }$

Since $\sqrt[n]{x^{m}} = x^{m/n} }$
Then $\sqrt[32]{ x^{8} }= x^{8/32} = x^{1/4}$

Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.

3 0

3 years ago

There are 212 pupils in a

frutty [35]

Answer:

120

Step-by-step explanation:

3/8 3*8=24, 24+3 = 27

5/12 5*12 =60 60÷5= 65

27 + 65 = 92

212-212- 92=120

5 0

1 year ago

The sanitation department calculated that last year each city resident produced approximately 1. 643 × 103 pounds of garbage. Th

mote1985 [20]

Answer:

(d) 428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

(1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb

≈ 428.82×10^6 lb

= 428,820,000 lb . . . of garbage

4 0

2 years ago

The proper angle for a ladder is about 75 ∘ 75∘ from the ground. suppose you have a 14 foot ladder. how far from the house shoul

jonny [76]

We just use the sinus rule to calculate this

a / sin alpha = b / sin beta

Alpha is the 90 degree angle from the wall to the floor
beta is the angle from the top of the ladder to the wall,
wich is 90 degrees - 75 degrees (triangle has 180 degrees angles, one is 90 degrees), so beta = 15 degrees

14 foot / sin 90 = b / sin 15
sin 90 = 1
we move the sin15 over to the other side

14 foot x sin 15 = b
b = 3.62 foot

5 0

3 years ago

What is the average speed of a car that travels 80 km in 1.5 hours

ludmilkaskok [199]

Answer:

53 1/3 km/h

Step-by-step explanation:

The car is going at 80km in 1.5 hours, so if you divide that value you get 26 2/3 km for every half hour, now you would want to multiply this times 2 to find the value for every hour, so then this would give you the answer 53 and 1/3 kilometers per hour.

8 0

3 years ago