What is the value of b?

Which expression is equivalent to Negative 2 and one-fourth divided by negative two-thirds? StartFraction 9 over 4 EndFraction d

Tanzania [10]

Answer:

The correct answer is:

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

i.e.

$-\dfrac{9}{4} \div \dfrac{2}{3}$

Step-by-step explanation:

We have to find equivalent expression to :

Negative 2 and one-fourth divided by negative two-thirds

i.e.

$-2\dfrac{1}{4} \div \dfrac{2}{3} = ?$

We have to convert the the mixed fraction form $-2\frac{1}{4}$ to simpler $\frac{p}{q}$ fraction form.

Let us learn the concept first.

Mixed fraction is combination of a whole number and a fraction.

Expression of the form $a\frac{b}{c}$ have the following understanding:

c is the divider

b is the remainder and

a is the quotient.

To convert mixed fraction to fraction we can use the following:

$a\dfrac{b}{c} = \dfrac{a \times c+b}{c}$

$\therefore -2\dfrac{1}{4} = -\dfrac{(2 \times 4+1)}{4} = -\dfrac{9}{4}$

Hence

$-2\dfrac{1}{4} \div \dfrac{2}{3} = -\dfrac{9}{4} \div \dfrac{2}{3}$

i.e. the given expression is equivalent to :

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

8 0

4 years ago

Read 2 more answers

Which of the following points is NOT a solution to the inequality: y ≥ 2x − 10?

Natasha_Volkova [10]

The answer to this is (6,-2)

7 0

4 years ago

Find the perimeter of the figure. Round to the nearest hundredth and show work.

dolphi86 [110]

Answer:

38 cm

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of all its sides.

We have two unknown length, so let's find their lengths first.

x= 10 -6= 4 cm

y= 9 -2= 7cm

Let's add all the lengths together to find the perimeter:

Perimeter

= 9 +10 +2 +6 +7 +4

= 38 cm

3 0

2 years ago

A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree tr

SVEN [57.7K]

Answer:

the length of the rope gives the circumference of the tree trunk. the tree trunk is in the shape of a circle. the circumference of a circle = πD. the inches would be converted to foot and the diameter would be determined from the length of the rope.

7 foot

Step-by-step explanation:

Here is the full question :

A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk. the length is 21 feet 8 inches

Explain how they can use the length to determine the diameter of the tree trunk to the nearest half foot

What is the diameter of the tree trunk

the circumference of a circle = πD

π = 22/ 7

D = diameter

we need to convert 21 feet 8 inches to foot

1 inch = 0.0833333 foot

8 x 0.0833333 = 0.667

0.667 + 21 = 21.667 foot

21.667 = 22/7 x diameter

diameter = 21.667 x 7/22 = 6.89 foot

The nearest half foot of 6.89 is 7.