Jack is mowing a lawn that has a shed,
Find the area of the lawn that jack has to mow.
The dimensions of the yard are 12x - 6 long and 7x wide.
The dimensions of the shed are 2x + 4 long and 4x wide.
Find a polynomial that describes the area of the lawn that needs to be mowed.
Step 1: Find the area of the lawn.
Step 2: Find the area of the shed.
Step 3: Find the area of the lawn by subtracting the shed area from the yard area.
Answers
Answer:
76x^2 - 58x
Step-by-step explanation:
Area of the Yard: 7x(12x-6) = 84x^2-42x
Area of the Shed: 4x(2x+4) = 8x^2+16x
Area of the Lawn: 84x^2-42x -(8x^2+16x) = (84x^2-8x^2) + (-42x-16x) =
76x^2 - 58x
The answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]", and the further calculation steps can be defined as follows:
For step 1:
Calculating the lawn area:
[tex]\to \bold{7x (12x -6) = 84x^2 - 42x}[/tex]
For step 2:
Calculating the shed area:
[tex]\to \bold{4x( 2x + 4) = 8x^2 + 16x}[/tex]
For step 3:
Calculating the lawn area by subtracting the area of the shed from the area of the yard:
[tex]\to\bold{ 7x (12x -6) - (4x(2x+4))}\\\\\to\bold{ 84x^2-42x -(8x^2+16x)}\\\\\to\bold{ 84x^2-42x -8x^2-16x}\\\\\to\bold{ 76x^2-58x}\\\\[/tex]
So, the final answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]".
Learn more:
Area calculator: brainly.com/question/22951582
Related Questions
Only do 14 please help asap 65 points
Answers
A part is the answer.
please mark me brainliest and follow me my friend.
Been looking for answers all day. Please.
Answers
Answer:88
Step-by-step explanation:
Directions: Find the weekly totals and the wages for each employee.
Nicole parks cars. She earns $9.75 per hour plus 10% of the parking fees that are
collected. If the total fees during a 5-hour shift are $360, how much does Nicole
earn?
Answers
Answer:
$84.75
Step-by-step explanation:
Given that she earns $9.75 per hour plus 10% of the parking fees that are collected, her income is of 2 folds; an hourly rate and an amount collected based rate.
If the shift is for 5 hours, her income based on
Hourly rate = 5 * $9.75
= $48.75
The amount collected based rate
= 10% * $360
= 10/100 * $360
= $36
Her total earnings will be
= $48.75 + $36
= $84.75
2(1/4d)+d=96 answer is possibly 64 is that correct?
Answers
Answer:
64
Step-by-step explanation:
2x(1/4 d)+d=96 (Rewrite the expression)
2x1/4d+d=96 (Reduce the numbers)
1/2d+d=96(Calculate)
3/2d=96 (Multiply both sides)
d=64
In 2010, the government took out 6.2% of earnings for Social Security to a maximum taxable income of $106,800. For Medicare, 1.45% of earnings was paid. How much money would someone have to have earned in 2010 so that their payments into Medicare were equal to their payments into Social Security?
Answers
9514 1404 393
Answer:
$456,662
Step-by-step explanation:
The amount paid to Social Security is a maximum of ...
6.2% × $106,800 = 6,621.60
If we want an equal amount paid to Medicare, we want ...
1.45% × earnings = $6,621.60
earnings = $6,621.60/0.0145 ≈ $456,662
Someone would have to earn $456,662 so that their Social Security and Medicare payments were equal.
is y= -6x proportional?
Answers
Answer:
yes
Step-by-step explanation:
What is 1/4 of 12????????
Answers
Answer:
3
Step-by-step explanation:
12 divided by 4 is 3. Therefor 1/4 of 12 is 3.
Answer:
3
Step-by-step explanation:
Do 12 times .25!
Hope this helps and have a great day!
please let me know if these are right or wrong!! 20 points!!
Answers
Answer: I believe they are all correct
Step-by-step explanation:
1. The function f(x)=-3-2 has a domain of the following values {0,4,-1}. Show the domain and range in the mapping diagram below.
2. For what values of x, would not be in the domain of the function y= ⟌ x+4?
A. X=0
B. X=5
C. X=-3
D. X=-8
Explain:
(Plz help me T_T)
Answers
The perimeter of a certain scalene triangle is 100 inches. The side lengths
of the triangle are represented by 5x, 3x+30, and 2x+10, respectively. What
is the length, in inches, of the longest side of the triangle?
6
22
30
48
72
Answers
Answer:
Step-by-step explanation:
Perimeter =100
the lengths of the sides are 5x+3x+30x+2x+10
5x+3x+30+2x+10=100
10x=100-40
10x=60
x=6
one side is 5x=30
one side 18+30=48
one side 2x+10=12+10=22
the longest side is 48
Longest side of triangle is 48 inches
Given information:
Perimeter of triangle = 100 inches
First side of triangle = 5x
Second side of triangle = 3x + 30
Third side of triangle = 2x + 10
Find:
Length in inches and longest side of the triangle
Computation:
Perimeter of triangle = Sum of all sides
So,
5x + (3x + 30) + (2x + 10) = 100
10x + 40 = 100
10x = 60
x = 10
So,
First side of triangle = 5x = 5(6)
First side of triangle = 30 inches
Second side of triangle = 3x + 30 = 3(6) + 30
Second side of triangle = 48 inches
Third side of triangle = 2x + 10 = 2(6) + 10
Third side of triangle = 22 inches
Longest side of triangle is 48 inches
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https://brainly.com/question/2773823?referrer=searchResults
Justin biked the same distance every day in the park after school. On Saturday he biked an additional 9 miles, and on Sunday he biked another 12 miles. If Justin biked a total of 86 miles in the 7-day period, how far did he bike each day after school?
Answers
Explanation: 86 - 9 (Saturday) = 77
77 - 12 (Sunday) = 65
65 / 5 (weekdays) = 13
What is the area of the pentagon shown? 16 cm 15 cm 18 cm 20 cm 360 cm2 354 cm2 300 cm2 297 cm2
Answers
help me i dont understand lol
Answers
I don't want to helo you cheat since it's a quiz, but just try to think literally. Look at the picture and you'll see which one makes sense. Ask each point and identify where they land.
Point D
Explanation:
Point D intersects both lines.
Identify the domain and range, then evaluate each function for the given value of x.
(I do not need much help for the domain and range but mostly the "Find f(5)"
Answers
Answer:
See below
Step-by-step explanation:
Domains are the first values and range are the second values given in the brackets.
Domain = {10, - 2, 5, 3}
Range = {7, 4, 3, 10}
I the third bracket, at x = 5, y is 3.
So,
f(5) = 3
Solve for x:
-2.3(x + 1.5) = -10.35
Question 2 options:
x = -6
x = -3
x = 3
x = 6
Answers
Answer:
-6
Step-by-step explanation:
there is a negative so it's a negative number you add the equation you divide the answer by 2 then you get your answer.
please help this assignment is due today
Answers
Answer:
b
Step-by-step explanation:
Answer:
A: 19/24
Step-by-step explanation:
Which list includes all of the factors of 24?
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
0,1,2, 3, 4, 6, 8, 12
12, 24, 48, 96
1, 2, 3, 4, 6, 8, 12, 24
Answers
Answer:
0 1 2 3 4 6 8 12 24
Step-by-step explanation:
factors of 24
Determine the values of the unlabeled parts of the triangle.
OA) ZQ = 63.4°, PQ = 1.84, QO = 4.47
OB) ZQ = 26.6°, PQ = 2, QO = 5.12
OC) ZQ = 63.4º, PQ = 2, QO = 4.47
D)
ZQ = 63.4°, PQ = 1.84, QO = 5.12
Answers
Answer:
∠Q = 63.4º, PQ = 2, QO = 4.47
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.
Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).
90 + 26.6 + ∠Q = 180
∠Q + 116.6 = 180
∠Q = 180 - 116
∠Q = 63.4°
We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:
[tex]\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47[/tex]
3/4
7. Find the difference of the following fractions.
3
(a) 45-23
(b) 52-4
10 10
5 5
2
(C) 3
6 5
4
9
7
b
9
7
Answers
Answer:
Step-by-step explanation:
bhnnj
Trey travels 10 yards on his motorcycle every 4 seconds. Based on this ratio, how many seconds does it take Trey to travel 50 yards?
Answers
Answer:
20 seconds
Step-by-step explanation:
please help me out, i will mark your answer (if it’s correct) as a brainiest:)
Answers
Answer:
1. 5IN = 9 OUT
2. -3 IN= -7 OUT
3. 4 IN = 7 OUT
4. -9 IN = -20 OUT
Step-by-step explanation:
Please answer this correctly without making mistakes I want experts and ace people to answer this correctly without making mistakes
Divide. Write your answer using the smallest numbers possible.
9,185 miles 380 yards divided by 4,590
Answers
9514 1404 393
Answer:
2 miles 2 yards
Step-by-step explanation:
There are 1760 yards in a mile, so you are effectively performing the division ...
(9185 380/1760) ÷ 4590
where the number in parentheses is a mixed number of miles.
You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.
9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88
Then this is divided in the usual way:
[tex]\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}[/tex]
Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.
Now, we need to convert 1/880 miles back to yards.
((1/880) mi) × (1760 yd/mi) = 2 yd
So, the quotient you seek is ...
2 miles 2 yards
Jenna made 10 cookies on blah buster day. She ate one of them her brother 0.2o f the cookies her little sister ate 1/5 of them how many cookies were left
Answers
Answer:
Jenna has 6 and 4/5 cookies left.
Step-by-step explanation:
Jenna starts with 10 cookies. She eats 1, her brother eats 2, and her little sister eats 1/5. If you add up all the cookies they ate. that would be 3 1/5 cookies they ate. So, 6 and 4/5 cookies are left.
ps. give me brainliest pls
Card 3 of 7
6.2.15 Practice 3
Last month, there were 4 sunny days for every rainy day.
1. If there were 30 days in the month, how many days were rainy?
Type the answer in the box below.
rainy days
How do I get the answer
Answers
Answer:
Step-by-step explanation7:
Answer:
the answer is 26
Step-by-step explanation:
hope that helped because 30-4
≡Smee is walking on a trail in the Everglades when he comes to an alligator-infested lake. He wants to build a bridge across the lake from point B to point A. He walks 36 feet due east of point B and marks another spot, point C, where he drives a stake into the ground. He walks an additional 9 feet due east to point D, then turns due south. He walks 12 feet south to point E, so that points A, C, and E are collinea
Answers
Answer:
ABC is similar to EDC and Angle A is congruent to angle C. Width of lake is 48
Step-by-step explanation:
Answer:
i believe it was a is congruent to E
Step-by-step explanation:
Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
4y+5x is ur equation for your linear line
I GIVVEEE BRAINLILSTTT
Answers
2. An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find
the speed of the jet with no wind.
HELP ASAPP please show your work
Answers
Answer:
240
Step-by-step explanation:
If labor costs were $3,000,000 last year and $2,700,000 this year, what percentage decrease was achieved?
A. 3%
B. 7%
C. 10%
D. 30%
Answers
Point A is the pre-image of a vertex of a square and is located at (-10, 8). The square is dilated with the center of dilation at the origin. Point A' is the image and us located at (-7, 6). What is the scale factor of the dilation?
Answers
Answer:
when no one answers ur question
Step-by-step explanation
Answer:
2.5
Step-by-step explanation:
