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PilotLPTM [1.2K]
3 years ago
13

You and your friend are having party. You are expecting 12 guests at this party. You would like everyone to have 4/5 of a cup of

juice. How many cups of juice will you need to purchase for the party?
Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

The number of cups needed for the party are 10.

Step-by-step explanation:

We are given that,

Total  number of guests expected = 12

The amount of juice per person = \frac{4}{5} cups

So, the number of cups needed to purchase for the party is given by,

Number of cups = \frac{4}{5}\times 12

i.e. Number of cups = \frac{48}{5}

i.e. Number of cups = 9.6 ≈ 10 cups

Hence, the number of cups needed for the party are 10.

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Abigail made a quilt that has the area of 4,800 sq. inches. The length of the quilt is 1 1/3 times the width of the quilt. What
Aliun [14]
For this case we model the problem as a rectangle.
 The area of the rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 4800 = (w) * ((1 1/3) * w)
 We rewrite:
 w ^ 2 = 4800 / (1 1/3)
 w ^ 2 = 3600
 w = root (3600)
 w = 60 in
 The long will be then:
 l = (1 1/3) * w
 l = (1 1/3) * (60)
 l = 80 in
 Answer:
 
the dimensions of the quilt are:
 
w = 60 in
 l = 80 in
8 0
3 years ago
What is this and how do i solve
Troyanec [42]

Answer:

<h2>x = 20</h2>

Step-by-step explanation:

The angles 7x° and (x + 20)° are supplementary angles.

Supplementary angles add up to 180°.

Therefore we have the equation:

7x + (x + 20) = 180

7x + x + 20 = 180            <em>subtract 20 from both sides</em>

8x = 160         <em>divide both sides by 8</em>

x = 20

8 0
3 years ago
Braylon has a board 18 feet long. He wants to cut it into pieces that are 3 feet long. How many pieces will he have after he mak
LUCKY_DIMON [66]
The answer is 6.
Division is the opposite of multiplication and 3x6 is 18
7 0
3 years ago
A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

brainly.com/question/28047791

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8 0
1 year ago
How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?
zysi [14]

Answer:

1) one

2) zero

Step-by-step explanation:

e/sinE = g/sinG

10/sin64 = 9/sinG

sinG = 0.8089146417

G = 53.99

j/sinJ = k/sinK

3/sin129 = 8/sinK

sinK = 2.072389241

3 0
3 years ago
Read 2 more answers
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