Ask question

Ask question

All categories

3 years ago

14

A pitcher has 16 cups of water in it. During the day, Aditi drank 5⁄2 cups, Kavitha drank 15⁄4 cups, and Rahul drank 33⁄8 cups.

What are these amounts as mixed fractions?
A. Aditi 31⁄2 cups, Kavitha 41⁄4 cups, and Rahul 35⁄8 cups
B. Aditi 13⁄2 cups, Kavitha 27⁄4 cups, and Rahul 39⁄8 cups
C. Aditi 21⁄4 cups, Kavitha 31⁄4 cups, and Rahul 37⁄8 cups
D. Aditi 21⁄2 cups, Kavitha 33⁄4 cups, and Rahul 41⁄8 cups

2 answers:

Bogdan [553]3 years ago

8 0

Answer:

Option D. is the answer.

Step-by-step explanation:

In the question. the given fractions are improper fractions and we have to convert them into mixed fractions.

in Improper fractions numerators are always equal to or greater than denominators.

As we know to convert improper fractions to mixed fraction first we divide numerator by denominator.

then write down the answer as a whole number and remainder is the numerator and denominator will be denominator.

Aditi drank = $\frac{5}{2}=2\frac{1}{2}$ cups

Kavitha drank = $\frac{15}{4}=3\frac{3}{4}$ cups

Rahul drank = $\frac{33}{8}=4\frac{1}{8}$ cups

Option D. is the correct answer.

enot [183]3 years ago

7 0

The answer is D. 5/2 is 2 1/2 15/4 is 3 3/4 and 33/8 is 4 1/8

You might be interested in

Find the components of the vertical force Bold Upper Fequalsleft angle 0 comma negative 8 right anglein the directions parallel

nydimaria [60]

Answer with Step-by-step explanation:

We are given that

F=<0,-8>=0i-8j=-8j

$\theta=\frac{\pi}{3}$

The component of force is divided into two direction

1.Along the plane

2.Perpendicular to the plane

1.The vector parallel to the plane will be= $r=cos\frac{\pi}{3}i-sin\frac{\pi}{3}j=\frac{1}{2}i-\frac{\sqrt 3}{2}j$

By using $cos\frac{\pi}{3}=\frac{1}{2},sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Force along the plane will be= $\mid F_x\mid=F\cdot r$

Force along the plane will be = $\mid F_x\mid=F\cdot (\frac{1}{2}i-\frac{\sqrt 3}{2}j)=-8j\cdot(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=8\times \frac{\sqrt 3}{2}=4\sqrt 3$ N

By using $i\cdot i=j\cdoty j=k\cdot k=1,i\cdot j=j\cdot k=k\cdot i=j\cdot i=k\cdot j=i\cdot k=0$

Therefore, force along the plane= $\mid F_x\mid(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)$

2.The vector perpendicular to the plane= $r=-sin\frac{\pi}{3}-cos\frac{\pi}{3}=-\frac{\sqrt 3}{2}i-\frac{1}{2}j$

The force perpendicular to the plane= $\mid F_y\mid=F\cdot r=-8j(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

The force perpendicular to the plane= $4$ N

Therefore, $F_y=4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

Sum of two component of force= $F_x+F_y=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)+4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

Sum of two component of force= $2\sqrt 3i-6j-2\sqrt3 i-2j=-8j$

Hence,sum of two component of forces=Total force.

6 0

3 years ago

A plane descends 1000 ft while flying<br> 2.7 mi. What is the angle of descent?

Murrr4er [49]

Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

Sin θ = opposite / hypotenus

Hypotenus = 2.7 miles

1 mile = 5280 feets

2.7 miles = (2.7 * 5280) = 14256 feets

Sin θ = 1000 / 14256

Sin θ = 0.0701459

θ = sin^-1(0.0701459)

θ = 4.0223674

3 0

3 years ago

balu736 [363]

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

6 0

3 years ago

Help meeeeeeeeeeeeee

Anna71 [15]

Answer:

Area 60 po is 32

Step-by-step explanation:

First u do 6x10 which equal 60area is a he whole and perimeter is what each side and add all sidesis and the perime Is 32So the po is 32 and the . Is 60 hope it. Helps

7 0

3 years ago

Read 2 more answers

ankoles [38]

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

<h2>x=5</h2><h2 />

3 0

3 years ago