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
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Related Questions
please help, find the area
Answers
Answer:
26 units^2
Step-by-step explanation:
You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.
Triangle 1 = 1/2(2 x 7) = 7
Triangle 2 = 1/2(2 x 7) = 7
Triangle 3 = 1/2(2 x 6) = 6
Triangle 4 = 1/2(2 x 6) = 6
Total Area = 26
The area of the kite is 26 units^2
Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j
Answers
Step-by-step explanation:
The word quotient means division.
A) is multiplication
B) is division so it is the right answer
C) is subtraction
D) is addition
Does anyone know this cause I need to understand how to do this.
Answers
Answer:
Triangle TSR
Step-by-step explanation:
This triangle is congruent to triangle FED because 3 angles and 3 sides You start with D because angle F is congruent to angle D
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds.
Answers
Question isn't well formatted and seems incomplete :
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.
Answer:
Step-by-step explanation:
Given that:
Number of trucks = 3
Number of bags each truck can hold = 3
Weight per bag = 200 pounds
Amount of in each truck :
Weight per bag * number of bags
200 * 3 = 600 pounds
Which is 600 pounds per truck
Total pounds carried by the trucks :
600 pounds * 3 = 1800 pounds
the point-slope for mhm of a line that has a slope of -2 and passes through point (5,-2) is shown below y+2=-2(x-5)
A. y=-2x+12
B. y=-2x+8
C. y=-2x-7
D. y=-2x-3
Answers
Answer:
y = -2x + 8 (B)
Step-by-step explanation:
Just expand y + 2 = -2(x-5)
y + 2 = -2x +10
y = -2x +8 (minus both sides by 2)
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
Answers
___________________________________
[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶- 3(5x + 6) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶(-15x - 18) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 15x - 3x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x) + 6x = 6 + 18}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶-12x = 24}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶\frac{-12x}{-12} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad\tt{ ⟶\frac{ \cancel{ \red{-12}} \: x}{ \cancel{ \red{-12}}} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\tt{x = -2}}[/tex]
[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]
[tex] \huge\quad\quad \underline{\red {\boxed{ \tt{x = -2}}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
Mike said he is thinking of a number. If you divide Mike's number by 4, the result is 20. What number was Mike thinking of? Use (n) to represent Mike's number.
Answers
Answer:
4x20= n
n= 80
.............
Answer:
n = 80
Step-by-step explanation:
n ÷ 4 = 20
n = 4 × 20
n = 80
I'm failing lol. HELP me with math??
Answers
Step-by-step explanation:
What do you need help with?
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272
Answers
Answer:
1200-928 = 272 for the rest of the month Clarissa has to spend.
Step-by-step explanation:
So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.
Answer:
b on edg
Step-by-step explanation:
two printers working together can print a 250 page book in 30 minutes. printer a takes twice as long as printer b to print the same book. how long would it take each printer working alone to print the book. let the variable x = how many minutes it takes to print the book. Using units of books/minutes, write an equation involving rates using rational functions, solve for x, and interpret the results in context.
Answers
Me das mas información porfa?
HELP ASAP. I only have 30 minutes left to complete 5 more questions. I will award Brainly and 100pts to whoever can solve this for me. I need help ASAP. This is timed. This is also for a college and high school course. I risk failing if I don't get the correct answer to this. HELP ASAP PLZ. This is slope intercept form
Answers
Answer:
y = 2x - 22
Step-by-step explanation:
y = 2x + 1
Parallel slope: 2
(7, -8)
y - y1 = m(x - x1)
y + 8 = 2(x - 7)
y + 8 = 2x - 14
y = 2x - 22
Answer:
Solution given:
equation of line 1 is:
y=2x+1
2x-y+1=0.......[1]
slope of line 1 is
m1=[tex] \frac{ -coefficient \:of\: x }{coefficient\: of \:y} [/tex]
[tex] \frac{ - 2}{ - 1} = 2[/tex]
Since the lines are parallel than slope of another line m2=m1=2
It passes through (x1,y1)=(7,-8)
equation of a line is:
(y-y1)=m2(x-x1)(y+8)=2(x-7)y+8=2x-142x-y=8+142x-y=22[tex] \frac{2x}{22} - \frac{y}{22} = 1[/tex][tex] \frac{x}{11} - \frac{y}{22} = 1[/tex]is a required equation of a line in slope intercept form.
A group of friends had dinner at a restaurant. The total bill for the dinner was $41 and they left a 15% tip. What was the total amount that they paid?
Answers
Answer:
$47.15
Step-by-step explanation:
41x15%=6.15
6.15+41=47.15
Answer: $47.15
Step-by-step explanation:
[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]
or you could do it in pieces
[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]
is y+7=2x a direct variation
Answers
Answer:
No, y+7=2x does not represent direct variation
Step-by-step explanation:
No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.
y = 2x represents direct variation; y = 2x - 7 does not.
Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)
Answers
Answer:
y - 2 = -3(x - 1)Step-by-step explanation:
The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope is: y - y₀ = m(x - x₀)
m = -3
(1, 2) ⇒ x₀ = 1, y₀ = 2
y - 2 = -3(x - 1)
HELP ASAPP!!!! PLZZZ
Answers
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4
A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?
Answers
Answer:
It should be 1000 miles
Step-by-step explanation:
If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.
Factor x2 − 8x + 9.
(x − 9)(x − 1)
(x + 9)(x + 1)
Prime
(x + 9)(x − 1)
Answers
Answer:
x²-8x+9
Step-by-step explanation:
Answer:
The answer is Prime
Step-by-step explanation:
Attached photo for proof
WILL GIVE BRAINLIEST
Answers
HELP giving brainlest and more points
Answers
Answer:
[tex]8^{-5}[/tex]
Step-by-step explanation:
[tex](8^{-8})(8^3)\\8^{-5}[/tex]
Exponent equation:
3 - 8 = -5
So this the remaining exponent
What is the number in What is 95% of 60
Answers
Answer:
57
Step-by-step explanation:
57 is 95% of 60
(See image below for more information)
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answers
Answer:
4.1 kilograms
Step-by-step explanation:
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
= 7.6 kilograms - 3.5 kilograms
= 4.1 kilograms
Plz help me! And no links!
Answers
Answer:
hi
Step-by-step explanation:
Plrase quick hurry !!!
Answers
Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
Answers
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
y = 1/2x + b [Parallel lines have the same slope but different y-intercepts]
-2 = (1/2)(-5) + b [Plug in the coordinates (-5,-2) to find the y-intercept b]
b = 1/2 [Solve for b]
y = 1/2x + 1/2
Answer:
y= 1/2x + 0.5
Step-by-step explanation:
plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P
a dozen exercise books cause $840.what is the cost of four of the same exercise book
280
200
300
260
Answers
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{C \: O \: R\: R \: E \: C \: T \: I \: O \: N}}} }: [/tex]
Dozen of exercise books costs $ 840. What is the cost of four of the same exercise book ?✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\:E \: N}}} }: [/tex]
Cost of dozen of exercise books [ 12 exercise books ] = $ 840✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: F \: I \: N \: D}}}} : [/tex]
Cost of four of the same exercise books✎ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]
Firstly , Find the cost of 1 exercise book[tex] \text{Cost \: of \: 1 \: exercise \: book }= \tt{ \frac{840}{12} = \$ \: 70 }[/tex]
Find the cost of 4 exercise books[tex] \text{Cost \: of \: 4 \: exercise \: books} = \tt{ \$70 \times 4} = \boxed{ \tt{ \$280}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{ \$ \: 280}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night !ツ
Let me know if have any questions regarding my answer! ♪
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
HELP URGENT!!!!! 50 POINTS
Answers
6/1.5=4
is the scale factor for the smaller triangle to the bigger triangle
Answer:
6/1.5=4
Step-by-step explanation:
Please help
Please, please
Answers
Answer:
dang you lazy this so easy
Please help, and I'll give brainliest! The following dot plot represents a random sample of elementary students and the number of children that live in their home.
Which of the following numbers is an outlier?
1
6
3
4
2
Answers
i have no idea what an outlier is maybe 1?
Answer:
2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!
Step-by-step explanation:
Need help asap will give brainlest whatever it is call
Answers
x small and y large: 1.95x + 5.05y
i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE
Answers
Answer:
B is twice the size of A, so the ratio would be 2:1.
Step-by-step explanation:
