Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original length. The expression 96 + 7) represents the area of the desk surface where 9 is the width, in feet, and () represents the extended length, in feet, of the desk. The carpenter thinks that the area of the extended portion of the desk is 16 square feet Which choice below includes the expanded form of the area expression for the deck's surface and the correct area of the extended portion of the desk's surface?
a. 10x + 16 and 10k square feet
b. 9x+63 and 9x square feet
c. 9x + 7 and 7 square feet
d. 9x + 63 and 63 square feet

Answers

Answer 1

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

[tex]Length = x[/tex]

[tex]Width = 9[/tex]

Extended

[tex]Length = x + 7[/tex]

[tex]Width = 9[/tex]

[tex]Area = 9(x + 7)[/tex]

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

[tex]A_1 = x * 9[/tex]

[tex]A_1 = 9x[/tex]

From the given parameters, we have:

[tex]Area = 9(x + 7)[/tex] --- area of the new surface

Open bracket

[tex]Area = 9x + 63[/tex]

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

[tex]Area = A_1 + E[/tex]

Make E the subject

[tex]E= Area - A_1[/tex]

[tex]E= 9x + 63 - 9x[/tex]

[tex]E= 63[/tex]

Hence, the area of the extended portion is 63


Related Questions

A cylinder and a cone have the same height and radius. The height of each is 5 centimeters, and the radius is 2 centimeters. Calculate the volume of the cylinder and the cone (rounded to the nearest tenth). Use 3.14 as an approximation for n. PLS HELP 15 POINTS

Answers

Answer:

Step-by-step explanation:

volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³

volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³

The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³

What is the volume of the cylinder and the cone?

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius

h = height

1/3 x 3.14 x 5 x 2 = 10.5 cm³

Volume of the cylinder = nr^2h

3.14 x 5 x 2 = 31.4 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN

Answers

Answer:

466.2 ft²

Step-by-step explanation:

10x24=240

1/2[tex]\pi[/tex]12²=226.194671

240+226.194671=466.194671

Please help! Answer and explanation please!

Answers

Answer:

12

Step-by-step explanation:

Since we can infer that those lines are the same length...

5x-15 = 3x+9

2x -15 = 9

2x = 24

x = 12


let: f(x)=x+1 and g(x)=x^2-2

find: f(x)•g(x)

Answers

Answer: x3+x2−2x−2

Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .

Brainliest or a thank you please! have a great day/night

Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal.) The results were as follows:

Duration of Exposure
< 1 1 to < 5 >= 5
Diseased 12 10 18
Sensitized 14 18 13
Normal 66 142 210

Required:
a. Compute the expected frequencies of diseased workers.
b. Compute the expected frequencies of sensitized workers.
c. How many degrees of freedom are there?

Answers

Answer:

1. Has been answered below

2. Degree of freedom is 4

Step-by-step explanation:

Row 1: 12+10+18 = 40

Row 2: 14+18+13 = 45

Row 3: 66+142+210 = 418

Grand total = 40+45+418 = 503

Column 1 : 12+14+66 = 92

Column 2: 10+18+142 = 170

Column 3: 18+13+210 = 241

Total = 92+170+241 = 503

Expected frequencies of diseased workers

92x40/503 = 7.316

170x40/503 = 13.52

241 x 40/503 = 19.165

Expected frequencies of sensitized workers

92x45/503 = 8.23

170x45/503 = 15.20

241x 45/503 = 21.56

2.

Degree of freedom

= (Number of row -1)(number of column - 1)

= 3-1 * 3-1

= 2x2

= 4

Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?

Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste

Answers

Answer:

B

Step-by-step explanation:

i got it right

Draw a line through the origin with a slope of 3/2

Answers

Answer:

uhhhh

Step-by-step explanation:

Solve the equation by completing the square.
a2 - 14a - 32 = 0

Answers

Answer:

a=16,-2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.

how many meters are equal to 5,253 centimeters? use how the placement of the decimal point changes when dividing by power of 10 to help you​

Answers

Answer:

[tex]52.53\ \text{meters}[/tex]

Step-by-step explanation:

[tex]1\ \text{meter}=100\ \text{centimeter}[/tex]

[tex]1\ \text{centimeter}=\dfrac{1}{100}\ \text{meter}[/tex]

In the question the quantity that is required to be converted to meters is 5253 centimeters.

[tex]5253\ \text{cm}=5253\times \dfrac{1}{100}\\ =52.53\ \text{meters}[/tex]

So, the required measurement in meters is [tex]52.53\ \text{meters}[/tex].

what is the volume of the rectangular prism?

Answers

Answer:

7 square yards

Step-by-step explanation:

3 of these blocks make a yard so

L * W * H

2 1/3 * 1 * 3 = 7/3 * 3 = 7

answer 7 square yards

ill mark brainlist plss help

Answers

Answer:

25 in²

Step-by-step explanation:

formula for area of a triangle:

1/2(bxh)

1/2(5x10)

1/2(50)

25

Answer:

D. [tex]25^{2}[/tex]

Step-by-step explanation:

Dan is randomly selecting an outfit to wear to school. He can choose from 3 shirts: blue striped, red striped, or white. He
can choose from 3 pairs of shorts: tan, blue, or plaid.
Determine whether each statement is true or false.
Select True or False for each statement.
The probability that Dan chooses a striped shirt and a pair of tan shorts is
O True
o
False
There are 6 possible outcomes in the sample space.
O
True
O
False
The probability that Dan chooses a striped shirt and a pair of blue shorts is
o
True
O False
There are 2 ways to choose a red striped shirt and a pair of tan shorts.
O True
O False

Answers

Answer:i dont know :(

Step-by-step explanation:

im sorry :(

Answer:

1. true

2. false

3. false

4. false

Step-by-step explanation:

hope this helps

please mark brainiest

please give 5 stars

thank you

Solve the following question:
 
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3. 
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
 
[hint:  X~Geo(0.3)  a) P(X=__), b) P(X<__)]
 
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
 
b*) Find P(G=20) correct to 3 significant figures.

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

WILL MARK BRAINLIEST!! Just help me out with number 2 please. :)

Here is an inequality: -2x > 10.
1. List some values for x that would make this inequality true.
Answer: Any negative number above -5, like -6, -7, etc.

2. How are the solutions to the inequality -2x ≥ 10 different from the solutions to
-2x > 10? Explain your reasoning.

Answers

9514 1404 393

Answer:

  -5 is included in the solution set of the first, but not the second

Step-by-step explanation:

The solution to -2 ≥ 10 is x ≤ -5. The solution to -2x > 10 is x < -5. The difference is that x = -5 is included in the solution set of the first inequality, but is not included in the solution set of the second inequality.

When plotted on a number line, the former inequality has a solid dot at -5, indicating that point is included. The latter inequality has an open dot (circle) at -5, indicating that point is not included. (Both plots are shaded to the left of the dot.)

Help Me Please.............................(7)

Answers

Answer:

Step-by-step explanation:

The first step contains the error.

2x - 10 =    22            Add 10 to both sides

   + 10     +10

2x = 32                      Divide by 10

2x/2 = 32/2

x = 16

the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age? ​

Answers

Answer:

15 years (180 months)

Step-by-step explanation:

turn it into months first

147

216

163

206

180

168

add them together, then divide by how many there are

1,080/6=180 months

180/12 =15

20% of ___ is 10 pls help me ✌

Answers

Answer:

200

Step-by-step explanation:

i hope this is right if not sorry

20=1/5 of 100 so that means 20 in 1/2=10 and 100 in 1/2=50 answer=50 u welcome my guy

Rotational symmetry of 2D shapes
Choose all that apply

Answers

Answer:

B and C

Step-by-step explanation:

I think that this is right.

A pentagon's lines of symmetry go thru an angle and the middle of a side. Every 72 degrees, the pentagon in split into identical halves. Same with 144 because it is basically 2 72 degree rotations.

Answer:

72

Step-by-step explanation:

The order of rotational symmetry of a regular pentagon is 5.

To find the angle of rotation we divide 360 by the number of sides

360/5=72

so the angle of rotation is 72 degrees.

MULTIPLE CHOICE QUESTION A car travels 120 miles in 2 hours. It goes an average of South East direction. What is its velocity? 60 mph south east 45 mph 45 mph south east 60 mph​

Answers

Answer:

60 miles per hour southeast.

Step-by-step explanation:

We are told that the car is moving southeasternly, so that answers the question right off the bat. The car is moving 120 miles per 2 hours. We need to know how much it moves in one hour though, so we must divide hours and miles by 2. We ger 60 miles per hour.

Velocity will be 60 mph southeast.

What is the difference between velocity and speed?

The distance that an item travels in a unit of time is referred to as its speed. It merely takes into account the size of the item and ignores its orientation. Speed is referred to as a scalar quantity in this way. When referring to velocity, however, it is said that velocity is the rate at which displacement changes. A vector quantity, that is.

Given distance traveled by car is 120 miles in 2 hours. Since speed is distance divided by time.

Speed = 60 mph

Also, there is a given direction which is southeast.

Therefore, the velocity of the car will be 60 mph southeast.

Learn more about velocity here:

https://brainly.com/question/18084516

#SPJ2

WILL GIVE BRAINLIST PLS HELP Find z. Just write the number. Answer should be a whole number.

Answers

Answerz=16

Step-by-step explanation:

I have to do a math test what is 8 + (7 + 1) 2 ÷ 4 ⋅

Answers

Answer:

8

Step-by-step explanation:

taking my points back because you answered with spam.

a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern​

Answers

Answer:

first term of the pattern​ (T₁) : 10

Step-by-step explanation:

T₁  ;    1 ;    -6 ;   T₄ ;    -14  

1-T₁  ;  -6-1   ; T₄-(-6)  ; -14 -T₄    (First Tₙ-Tₙ₋₁)

-8+T₁  = T₄+13 = -2T₄-20            (2nd Tₙ-Tₙ₋₁ is constant)

T₄+13 = -2T₄-20          3T₄ = -33          T₄ = -11

-8+T₁  = T₄+13         -8 + T₁ = -11 + 13 = 2

T₁ = 10

here's my face I just dyed my hair-​

Answers

Answer:

that looks nice

Step-by-step explanation:

the hair looks cool

Find legit BD

I need help for my assignment

Answers

Answer:

BD = 4

Step-by-step explanation:

∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.

Therefore:

BD = CD

3x + 1 = 5x - 1 (substitution)

Collect like terms

3x - 5x = -1 - 1

-2x = -2

Divide both sides by -2

x = -2/-2

x = 1

✔️BD = 3x + 1

Plug in the value of x

BD = 3(1) + 1

BD = 3 + 1

BD = 4

A hardware store received 2.5 tons of
lumber. What is the weight of the
lumber in pounds?
A 50,000 pounds
® 25,000 pounds
5,000 pounds
D 2,500 pounds

Answers

Answer:

5000 pounds

Step-by-step explanation:

Hello There!

There are 2000 pounds in 1 ton

So to convert tons to pounds we multiply by 2000

2.5x2000=5000

So 2.5 tons is the equivalent if 5000 pounds

The answer is 5,000 pounds

Find the value of x
Pls help

Answers

Answer:

x = 5

Step-by-step explanation:

the sum of the angles is 180

16x - 5 + 22x - 5 = 180

38x - 10 = 180

38x = 190

x = 5

Answer:

5

Step-by-step explanation:

As both angles situated in one straight line

➝There sum will be 180°

➝(16x-5)+(-5+22x)=180

➝16x-5-5+22x=180

➝16x+22x-5-5=180

➝38x-10=180

➝38x=180+10

➝38x=190

➝x=190/38

➝x=5

The show has a large display board where visitors are encouraged to pin up their pictures during an even, it measures:
3.6 m
1.8 m

How many 6 cm by 6 cm pictures could fit on the wall?​

Answers

Answer:

3.6m

Step-by-step explanation:

Susie can run 4 2/3 miles per hour. If she runs for 3/4 hours how far will she have run?​

Answers

No sé nada dejen hacer trabajos

Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)

Answers

Answer:

3 miles

Step-by-step explanation:

1 hour = 3,600 seconds (3,600 ÷ 10 = 360)

360 x 44 = 15,840 Feet

1 mile = 5,280 feet

15,840 feet ÷ 5,280 feet = 3 miles

Kenji walks 3 miles in 1 hour.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8

Answers

The product of 4 and 7 would be 28!
When someone says the product of x means they are looking to multiply!

Answer:

8? I think I'm not quite sure. lmk

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