I have two-thirds of a square and I want to divide it by one-half. How many pieces would I have?

Answers

Answer 1
Answer:

Answer:2 pieces or 1 1/3

Step-by-step explanation:

cause if 2/3 was 1 piece and you divide by 1/2 you have double what you had making you have 2 pieces

Answer 2
Answer:

Final answer:

Dividing two-thirds by one-half results in one and one-third pieces.

Explanation:

To divide two-thirds of a square by one-half, you can multiply the fractions. This is a division of fractions problem. You have two-thirds (2/3) of a square and you want to divide it by one-half (1/2). In division of fractions, you multiply by the reciprocal of the divisor. So, you would change the division to a multiplication and flip the second fraction (1/2 becomes 2/1). Therefore, (2/3) divided by (1/2) becomes (2/3) * (2/1). When we multiply these fractions, we get (4/3) or one and one-third. So, you have one and one-third pieces.

Learn more about Division of Fractions here:

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What characteristics best describe the graph? Choose all that apply. *

Answers

Answer:

Options (1), (3) and (7)

Step-by-step explanation:

Characteristics of the given graph are as followed.

1). For every input value (x-value) there is a different output values (y-values).

   So the points on the graph represent a function.

2). Coordinates of all the points are distinct and separate (not in fractions or decimals).

    Function given is a discrete function.

3). For every increase in the x-values of the points there is a decrease in y-values.

  Therefore, given function is a decreasing function.

Therefore, Options (1), (3) and (7) are the correct options.

Which driver do you predict will win the next draw race? Why?Driver A had a mean race time 4.01 seconds and a standard deviation of 0.05 seconds.
Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.

Answers

Answer: driver a

Step-by-step explanation: because the time was 4.01

Simplify: 8x - 6(5x + 6)

Answers

Answer:

-22x-36

Step-by-step explanation:

-6 x 5x = -30x

-6 x 6 =-36

8x - 30x - 36

8x - 30x = - 22x

So, it's -22x - 36.

Answer:

-22 x- 36

Step-by-step explanation:

8x - 6(5x + 6)

-6× 5x= -30x

-6 × 6= -36

8x -30x - 36

-22x - 36

A rectangular pool measures 10m by 5m. A deck, of uniform width, is to be built all the way around the pool such that the total area of the pool and deck will be126m2 . Set up and solve a quadratic equation to determine the width of the deck.

Answers

Answer:

The width of the deck is 2m .

Step-by-step explanation:

Let the width of the pool be represented by w. As stated in the problem a deck of uniform width is to be built so the total width of the pool and deck will be w+w = 2w.

Now the total dimensions can be taken as

10m+ 2w and 5m + 2w of both the pool and deck.

Area = length * breadth

126m ²= (10m+ 2w) ( 5m + 2w )

126= 50 + 30 w+ 4w²

0= 50 -126+ 30 w+ 4w²

0 = 30 w+ 4w²- 76

Taking 2 as common

0= 2( 15 w+ 2w² - 38)

2w²+ 15 w - 38= 0

The above equation is the quadratic equation and can be solved as follows.

a= 2 , b= 15 and c= -38

b= -b±√b²- 4ac/2a

Putting the values

b= - 15±√15²- 4( 2)(-38)/2(2)

b= - 15± 23/4

b= - 38/4 or 8/4

b= 2 m

The width cannot be negative so we ignore the negative value

The width of the deck is 2m .

The can be checked by putting the value in the original equation.

126m ²= (10m+ 2w) ( 5m + 2w )

126m ²= (10m+ 2(2)) ( 5m + 2(2) )

126m ²= (10m+ 4) ( 5m + 4 )

126m ²= 14*9

126m ²= 126m ²

What multiplies to 16 and adds to negative 12

Answers

factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm


we will solve with math
xy=16
x+y=-12
minus  x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}


0=x^2+12x+16
a=1
b=12
c=16

x=\frac{-12+/- \sqrt{12^(2)-4(1)(16) }}{2(1)}
x=(-12+/- √(144-64 ))/(2)
x=(-12+/- √(80))/(2)
x=(-12+/- 4√(5))/(2)
x=\frac{-6+/- 2√(5)
x=\frac{-6+ 2√(5) or \frac{-6- 2√(5)

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

8 times 2 8 because they are both equability right 

Brian’s backyard is in the shape of a square. If the yard is 21 feet long, how much land does Brian’s backyard cover?Pleaseee helppp

Answers

Answer: 21 feet long