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Lapatulllka [165]
3 years ago
13

-2/3-5/6= write in simplest form

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0
-2/3 - 5/6 

We need common denominators so, since 3 can go into 6, we only need to multiply the first fraction by 2.

= -2 x 2 / 3x2  -  5/6 
= -4 / 6 - 5/6 
 
We only subtract the numbers that are in the numerators, 

= -4-5 / 6 
= -9/6 

Both nine and six are divisible by 3, so to put into lowest terms... 

=-9÷3 / 6÷3
= -3/2  <--- Final Answer 

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There are 11 students on the tennis team. The coach selects 3 of them to go to atennis clinic. In how many ways can he choose 3
Komok [63]

Answer:

165 ways

Step-by-step explanation:

Selection deals with combination

There are a total of 11 from which 3 are to be selected

        11C3 = 11!/3!(11-3)!

                 = 11!/(3!x8!)

                 =(11x10x9x8!)/(3x2x8!)

                 =11x10x9/6

                 =11x5x3 = 165 ways

                 

8 0
3 years ago
Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is
Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0
3 years ago
Read 2 more answers
Solve w^3 - 9w = 0 by factoring
madam [21]

Answer:

w = 0 , -3 , 3

Step-by-step explanation:

w³ - 9w = 0

w(w² - 9) = 0

w(w² - 3²) = 0

w(w+3)(w-3) = 0            {a² - b² = (a + b)(a - b) }

w = 0   ;  w + 3 = 0                ; w - 3 = 0

                     w = -3              ;        w = 3

w = 0 , -3 , 3

5 0
3 years ago
Using only whole numbers Nikki wrote as many multiplication equations as she could with 12 as the product what where her equatio
erastovalidia [21]
1 times 12,2 times 6,and 3times 4
4 0
2 years ago
An airplane is flying at 180mph. A jet flying at 330 mph leaves 1 hour later traveling in the same direction. How long will it t
zimovet [89]

To solve this problem, let us first assign some variables. Let us say that:

v1 = velocity of airplane = 180 mph

t1 = time travelled by airplane

v2 = velocity of jet = 330 mph

t2 = time travelled by jet

 

Since we know that distance is the product of velocity and time, and that the distance travelled by the two must be equal for the jet to catch up to the plane, hence:

v1 * t1 = v2 * t2

But we know that:

t1 = t2 + 1

Therefore:

180 (t2 + 1) = 330 t2

180 t2 + 180 = 330 t2

150 t2 = 180

t2 = 1.2 hours

 

<span>Therefore the jet can catch up to the plane after 1.2 hours it takes off.</span>

4 0
2 years ago
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