Answers
Answer:
1. Combine the like terms from all 3 sections then subsite for X.
2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.
Step-by-step explanation:
The two ways to find the total area of the park are:
Add the Areas of Each Section
Use Geometric Shapes
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Method 1:
Add the Areas of Each Section
We can find the total area of the park by adding the areas of each section. Therefore, the total area is:
Total Area = Game field + Picnic field + Recreation area
Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)
Total Area = 3x² + 175x + 1200 ft²
Method 2:
Use Geometric Shapes
Another way to find the total area of the park is to use geometric shapes that represent each section.
We can see that the Game field and Picnic field have the same area of
x² + 95x + 450 ft², which we can represent as a rectangle.
The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.
Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.
Total Area = Area of Rectangle + Area of Triangle
Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)
Total Area = 3x^2 + 175x + 1200 ft^2
Thus,
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Related Questions
A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles
Answers
Answer:
3 miles
Step-by-step explanation:
A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles
Area of a trapezoid = 1/2 (a + b)h
The formula for the height of a trapezoid =
h = 2(A/a + b)
A = 18 square miles
a = 5 miles
b = 7 miles
h = 2(18/5 + 7)
h = 2( 18/12)
h = 2 ( 9/6)
h = 3 miles
After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?
Answers
Answer:
$67.2
Step-by-step explanation:
8% of $52.50
52.5 × 8/100 = $4.2
20% of $52.50
52.5 × 20/100 = $10.5
total
$52.5 + $4.2 + $10.5 =$67.2
65 traffic cones we’re equally spaced over 5/8 of a mile how many traffic cones are used per mile
Answers
Given:
65 traffic cones we’re equally spaced over [tex]\dfrac{5}{8}[/tex] of a mile.
To find:
The number of traffic cones are used per mile.
Solution:
We have,
Number of cones used in [tex]\dfrac{5}{8}[/tex] of a mile = 65
Number of cones used for a mile = [tex]65\times \dfrac{8}{5}[/tex]
= [tex]13\times 8[/tex]
= [tex]104[/tex]
Therefore, 104 traffic cones are used per mile.
Find the slope and the y -intercept of the line.
Write your answers in simplest form.
6x + 2y = -2
Answers
Answer:
slope= -3x
y-intercept=-1
Step-by-step explanation:
your line is y=-3x-1
I NEED HELP Tiffon makes a 35% commission on the websites that he sells to businesses. If he sells $3,500 worth of websites, what is his commission?
Answers
The Hot Dog Eating Contest
10 people entered the hot dog eating contest to see who could eat the most hot dogs in 15 minutes.
Each person was given a number and 10 bags of cooked hot dogs that contained 10 hot dogs per bag.
Person #1 ate 20 hot dogs
Person #2 ate 10 hot dogs
Person #3 ate 35 hot dogs
Person #4 ate 15 hot dogs
Person #5 ate 50 hot dogs
Person #6 ate 25 hot dogs
Person #7 ate 70 hot dogs
Person #8 ate 40 hot dogs
Person #9 ate 15 hot dogs
Person #10 ate 45 hot dogs
Altogether, how many bags of hot dogs were eaten during the contest?
Answers
Answer:
325 hot dogs were eaten during the contest.
Step-by-step explanation:
Just add all the hot dogs together. Wow, it's a lot though. :)
if x= 0, 2,-2 find the value of x3-1 help plz
Answers
when x =0
[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]
When x =2
[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]
when x =-2
[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]
please help asap!
A scatter plot is shown:
What type of association does the graph show between x and y? (4 points)
a. Linear positive association
b. Nonlinear positive association
c. Linear negative association
d. Nonlinear negative association
Answers
Answer:
A
Step-by-step explanation:
the dots form a line going upwards from the origin in a positive way (quadrant 1)
HELP ASAP. please show work tysm! solve for x
Answers
Answer:
71
Step-by-step explanation:
vertical sides are congruent
x+30=101
x=71
PLEASE HELP ME I’LL GIVE BRILLIANCE TO YOU (it’s question 16)
Answers
Answer:
556$
Step-by-step explanation:
$6 x 112 = 672$
1228-672 = 556
Help
I neeed to get this question right
Answers
Answer:
6/10 is greater than 6/100
Step-by-step explanation:
6/10 = 3/5
6/100 = 3/50
3 fifties is lot more than 3 with 5 parts
hope it makes sense
Tiana solved the problem below and found that there was no solution. Solve the problem. Do you agree with her answer? Show your work to support your answer either way. -6(x - 4) + 4x = -2x + 18
Note: explain it well enough so I could borrow your answers
Answers
Answer:
Step 1: Simplify both sides of the equation.
−6(x−4)+4x=−2x+18
(−6)(x)+(−6)(−4)+4x=−2x+18(Distribute)
−6x+24+4x=−2x+18
(−6x+4x)+(24)=−2x+18(Combine Like Terms)
−2x+24=−2x+18
−2x+24=−2x+18
Step 2: Add 2x to both sides.
−2x+24+2x=−2x+18+2x
24=18
Step 3: Subtract 24 from both sides.
24−24=18−24
0=−6
Answer:
There are no solutions.
A school track is shown.
1000 m
74 m
The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What
is the distance, in meters, around the entire track? Use the button on your calculator and express your answer to
the nearest hundredth
The distance is
meters
Answers
Answer:
2232.48 meters
Step-by-step explanation:
From the diagram:
Radius of semicircle = 74
Length of straightway on each side = 1000
The length of school track:
Straightway on each side = 2 * 1000 m = 2000m
Length of semicircle = πr/2
Length of both semicircle = 2 * 3.142 * 74 /2 = 232.47785
Total Length = ( 2000 + 232.47785) = 2232.48 meters
Hope this helps!
In OPQ the measure of Q=90 O=76 and OP=7.3 feet find the length of PQ to the nearest tenth.
Answers
Answer: sinO=
hypotenuse
opposite
=
7.3
x
sin
76
=
x
7.3
sin76=
7.3
x
7.3
sin
76
=
x
7.3sin76=x
x
=
7.0832
≈
7.1
feet
x=7.0832≈ 7.1 feet
Step-by-step explanation:
Answer:
the correct answer is 7.1
Step-by-step explanation:
Why might Razis method not be a good way to estimate the probability? My team won 18 of their last 20 matches, so the probability that they will win their next match is 18/20 = 90%
Answers
Answer:
It is a really idealistic way to estimate probability.
It usually works well for random events where there is no restriction like:
"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.
Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:
P = K*(1/N) = K/N"
Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)
P = 2/6
Now let's go to the case in the problem:
We know that out of the last 20 games, your team won 18.
Then yes, your team won (18/20)*100% = 90% of their played games.
Does this mean tath the probability of winning the next game is 90%?
Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%
Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?
Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.
Find the measure of ∠h in the figure given below. assume that the lines are parallel.
Answers
Answer:
70 - b
Step-by-step explanation:
b= 110 so d = 110 - they are opp. angles
d and e are alternate interior angles which add up to 180
d = 110
e =?
e = 180-110 =70
e and h are equal bc they are opp. angles
e=70 and therefore h=70 as well
A
B
C
D
Help please
Answers
Cik Ain deposited RM5 000 at a bank with an interest rate of 4% per annum.
(a) Calculate the total savings of Cik Ain after she has saved for 1 year.
Answers
Answer: RM 5200
Step-by-step explanation:
Principal = RM5000
Rate = 4%
Time = 1 year
Simple Interest = PRT
= 5000 × 4% × 1
= 5000 × 0.04 × 1
= 200
Now, the total savings will be the addition of the principal and the interest which will be:
= RM 5000 + RM 200
= RM 5200
what is the area of these parallelograms? 1. the perimeter is 33
2. the perimeter is 64
Answers
Answer:
4.5 + 4.5 + 7.5 + 3 + 9 + 4.5 = 33 is the perimeter of the first shape
The area is (4.5 x 7.5) + (3 x 9) = 60.75
(Cut the figure)
Perimeter of the Second Shape is:
22 + 22 + 10 + 10 = 64
Area is: 22 x 10 = 220
Area of a parallelogram is: L x W
Sorry again I need help
Answers
Answer:
I think it's option 4
Step-by-step explanation:
I hope my answer is true
Answer:
2
Step-by-step explanation:
or 4 but I'm pretty sure it's that cause it hits the y and x
"Expand the brackets and Simplify"
(pls i need help asap)
Answers
2+4c = 2+4c
B) 6(14r-2t)
= 84r-12t
Kelsha purchased a prepaid phone card for $30. Long distance calls cost 21 cents a minute using this card. Kelsha used her card only once to make a long distance call. If the remaining credit on her card is $22.44, how many minutes did her call last?
Answers
Answer:
2.646
Step-by-step explanation:
1.X + 1 3/7 = 4 5/7 Use either method that was
taught.
Answers
Answer:
32/7
Step-by-step explanation:
What is the force behind a 5 kg
bowling ball with an acceleration of 5
m/'st?
Answers
which is equivalent to the following expression
7/12 times 4
Answers
Answer:
4/1
Step-by-step explanation:
coordinate planes
again
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Claire is building a dollhouse where 11 inch on the plans is equivalent to 55 inches on the actual dollhouse. Scale Factor If the house is to be 32.532.5 inches tall, what will the height be on the plans? ___________ inches
Answers
Answer:
1 : 5 ;
6.5 inches
Step-by-step explanation:
Given that:
11 inch on plan = 55 in actual
The scale factor here is :
11 : 55
1 : 5 ( 1 inch on plan represents 5 inches the actual house)
If the house is 32.5 inches tall
The height in inches of the house on the plan will be:
Actual Height of house / 5
32.5 / 5 = 6.5 inches
Answer: 6.5
Step-by-step explanation:
need help solving please
Answers
Answer:
7
hope it helps..........
Atrice needs to find a container that will hold at least 300 cubic Inches of water. Which of these figures could atrice use
Answers
Answer:I think it’s answer B
Step-by-step explanation:because if you measure figure 2 it will be about 451 and you need it to hold about 300 so it can’t be a or c and figure 3 holds about 321 while figure 1 holds about something so I think it’s B
Michelle bought 5 packs of crayons for 13.75. What is the cost of a pack of crayons in dollars if all the pack cost the same?
Answers
Answer:
2.75 each pack
Step-by-step explanation:
13.75 divided by 5 =2.75