14) PLEASE HELP WITH QUESTION, WILL MARK BRAINLIEST + POINTS GIVEN!!!

Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

Area of new rug is ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 ) = 3x ( x + 60 ) + 36 ( x + 60 )

= 3x² + 3x * 60 + 36 x + 36 * 60

= 3x² + 180 x + 36 x + 2160

Combining like terms , 3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 ) = 3x² + 216 x + 2160 .

7 0

2 years ago

Read 2 more answers

Will qamar have enough lacquer to cover the floor below

alexdok [17]

lol nooooooooooooooo

8 0

2 years ago

Please give me the correct answer

Ganezh [65]

Answer:

PQ = 5 units

QR = 8 units

Step-by-step explanation:

Given

P(-3, 3)

Q(2, 3)

R(2, -5)

To determine

The length of the segment PQ

The length of the segment QR

Determining the length of the segment PQ

From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.

so

P(-3, 3), Q(2, 3)

PQ = 2 - (-3)

PQ = 2+3

PQ = 5 units

Therefore, the length of the segment PQ = 5 units

Determining the length of the segment QR

Q(2, 3), R(2, -5)

(x₁, y₁) = (2, 3)

(x₂, y₂) = (2, -5)

The length between the segment QR is:

$l=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-2\right)^2+\left(-5-3\right)^2}$

$=\sqrt{0+8^2}$

$=\sqrt{8^2}$

Apply radical rule: $\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=8$

Therefore, the length between the segment QR is: 8 units

Summary:

PQ = 5 units

QR = 8 units

8 0

2 years ago

If the temperature outside is 30°C, what is the temperature in F°

emmasim [6.3K]

Answer:

Step-by-step explanation:

4 0

2 years ago

2. After the orchestra completed its program

stiv31 [10]

<h3><u>Question:</u></h3>

After the orchestra completed its program, there was a party to allow the patrons to mingle with the musicians. Kayla’s Catering provided the food, drinks, and service for the party. There were two hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party?

<h3><u>Answer:</u></h3>

The total bill for catering the party is $ 8689.86

<h3><u>Solution:</u></h3>

Kayla’s Catering provided the food, drinks, and service for the party

Total number of guests = 207

Charge for food for 1 guest = $ 27

Charge for drink for 1 guest = $ 10

Charge for service for 1 guest = $ 4.98

<em><u>To find: Kayla total bill for cater</u></em>

Total bill = Total number of guests(Charge for food for 1 guest + Charge for drink for 1 guest + Charge for service for 1 guest)

$Total\ bill = 207(27+10+4.98)\\\\Total\ bill = 207(37 + 4.98)\\\\Total\ bill = 207 \times 41.98\\\\Total\ bill = 8689.86$

Thus total bill for catering the party is $ 8689.86

4 0

2 years ago