A rectangular turf of size 20 feet by 30 feet is surrounded by a flower bed of uniform width
all around. The total area of the turf and the flower bed is 1200 sq.ft. What is the width of the
flower bed? Show your work algebraically.(4 points)
2) You are running a concession stand at a basketball game. You are selling hot dogs and
Answers
Answer:
5 ft
Step-by-step explanation:
Total area of turf and flower bed is [tex]1200\ \text{ft}^2[/tex]
Turf dimensions is 20 feet by 30 ft
Area of turf = [tex]20\times 30=600\ \text{ft}^2[/tex]
Area of flower bed = [tex]1200-600=600\ \text{ft}^2[/tex]
Let [tex]x[/tex] be the width of the flower bed so area of flower bed is
[tex]2\times 30x+2(20+2x)x=600\\\Rightarrow 30x+20x+2x^2=300\\\Rightarrow 2x^2+50x-300=0\\\Rightarrow x^2+25x-150=0\\\Rightarrow x=\dfrac{-25\pm \sqrt{25^2-4\times \:1\times \left(-150\right)}}{2\times \:1}\\\Rightarrow x=5,-30[/tex]
So, width of the flower bed is 5 ft.
Related Questions
Determine whether the given statement is true or false.
27 €(14, 16, 18,..., 32)
Answers
Answer:
answer is true because 27 is belong between 14 to 32 so, it true
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answers
I believe it's 5! Hope this helps!
Answer:
5
Step-by-step explanation:
5 / 1 = 5
10 / 2 = 5
15 / 3 = 5
20 / 4 = 5
Find the square root of the number -48
Answers
Answer:
6.92820323
Step-by-step explanation:
64÷-48= 6.92820323
Answer:
[tex]4i \sqrt{3} [/tex]
hope this helps!
I will give brainiest to whoever answers correctly !!
Answers
Answer:
75.99
Step-by-step explanation:
Bananas are on sale at four different grocery stores. which store offers the lowest unit rate for bananas in dollars per pound?
Food Queen- $3.60/ 6 pounds
Grocery smart- $/4 and 1/2 pound
Fresh Farm- $3.00/ 4 pounds
Local eats- $0.49/a pound
Answers
The store that offers the lowest unit rate for bananas is Grocery Smart.
NEED HELP ASAP !!
Solve for the variable.
Answers:
x = 8
x = 4
x = 4.8
x = 5.6
Answers
Answer:
x= 8
Step-by-step explanation:
In the photo, the two angles that have their equation listed are classified as corresponding angles. When angles correspond, that means they are equal. So all you must do is make them equla to each other, so it should look something like this.
6x-11=37- simplify this then you are left with this
6x=48 then divide and your final result is
x=8
Simplify.
25x−2+3(x−4)
Enter your answer by filling in the boxes. Enter the fraction as an improper fraction in simplest form.
~Please help~
Answers
25x-2+3x-12
-3x on both sides
22x-2=-12
+2 on both sides
22x= -10
Divide by 22 both sides
-10/22
Then you simply giving you
Answer: 5/11
Answer:
5/11
Step-by-step explanation:
Identify the line of reflection that maps rhombus PQRS onto rhombus JKLM.
Answers
Answer:
x=1
Step-by-step explanation:
Can someone help my lil sis cause she wont stop bothering me
it's just 2 simple questions
All u have 2 do is subtract, she said that she couldn't find the answers on the online calculator.
Just plzzzz help her i'm begging u and random answers are gonna get reported ok have a great day pple
Answers
Answer:
For first question, the answer is = 3f - 9g + 7
For second question, the answer is = 5/9 v - 5/9
I'm sure this is the answer
Hope it helped u,
pls mark as the brainliest
^_^
Answer:
1.- (B.) 3f-9g+7
2.- (C.) 5/9v-1/3
Step-by-step explanation:
Someone Removed My other answer :(
Can I have Brainliest Again? Its okay if not
PLZ HELP ME WITH MY HW???
Answers
Which of the summation properties or formulas require the lower index to be 1? Check all that apply.
Answers
Answer:
all but the fourth option
Step-by-step explanation:
pre-calc edg 2020
Answer:
this is what mine looked like
Step-by-step explanation:
A cycle wheel does 2169 full turns in 9 minutes. Work out the number of full turns per minute
Answers
Answer:
241 per min
Step-by-step explanation:
just take 2169/9 and get 241 per min
Answer:
241 turns in 1 minute.
Step-by-step explanation:
to find the answer 241 you need to divide 2169 by 9 which will get you 241 turns
So the wheel does 241 turns a minute.
HOPE IT HELPS YOU PLEASE MARK AS BRAINLIESTwhat is the answer ?
Answers
Answer:
x= y+2/3+4
Step-by-step explanation:
hyla paid 37.88 for 3 prizzas and a order of garlic rolls if the garlic rolls cost 3.50 how much did each pizza cost
Answers
Answer: The answer is $11.46 per pizza
Step-by-step explanation:
First subtract 3.50 from 37.88 since we know how much the garlic roles are. after that you should get 34.38. Then just divide 34.38 by 3, you'll then get the price for each pizza.
1(x-2)= -5.5 solve for x
Answers
Answer:
-3.5
Step-by-step explanation:
(x-2)= -5.5
x=-3.5
(add two to both sides)
STEP-BY-STEP EXPLANATION
SOMEONE PLEASE ANSWER THIS MY ASSIGNMENT IS DUE IN 6MINUTES
Answers
Answer:
7. No
8. $6.11
Step-by-step explanation:
7. 180 / 3 = 60 350 / 5 = 70
8. 20 / 2 = 10 12.22 / 2 = 6.11
Step-by-step explanation:
for 7:
they're not equivalent
20 batteries 12.22$
10 batteries 6.11 $
Sharla bought 5 1/2 pounds of ground beef. Before freezing the ground beef, she plans to make it into hamburger patties that weigh 1/4 each. How many patties can Sharla make?
Answers
Answer:
22 patties
Step-by-step explanation:
To find how many patties she can make, divide 5 1/2 by 1/4
5.5/0.25
= 22
So, she can make 22 patties
8x=12y-10
Domain
Range
Vertex
Answers
Answer:
range = largest -smallest
Domain value is first number of x and y
6x8/4 please...............
Answers
Answer: 12
Step-by-step explanation: 6 x 8= 48 then divide 48 and 4 then get 12. Have a nice day I hope this helped u :)
simplest form of 8/14
Answers
Answer:
4/7
Step-by-step explanation:
divide both numbers by 2 ez
A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.
Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?
Answers
Answer:
2x + 6y ≤ 120
Step-by-step explanation:
From the above question, we are told that: No more than 120 lb of sausage links and briskets will be cooked on the grill.
Let
x = Number of sausage links
y = Number of Briskets
The word NO MORE THAN means less than or equal to 120 lb and this word is represented by the inequality sign:
≤
Sausage links = 2 lb each
Briskets = 6 lb each
The inequality =
2lb × x + 6lb × y ≤ 120lb
2x + 6y ≤ 120
Therefore, the inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked is given as:
2x + 6y ≤ 120
This week she spent 5210 to boutgames Ace cums her boating bats and shoes so she has to pay to each game that shows each othee
A 155
235
CO3
D045
Please help
Answers
Answer:
A
Step-by-step explanation:
this will be Afggggggggggggggggggggggggggggvmh,jyfkjhv
Mr. Garcia notes that in 84% of the papers his former students have turned in, they cited their sources incorrectly. He plans to go through these papers at random to find one with incorrect citations for a lesson on citing with his current students. Assume that incorrect citations are independent between papers. Let NNN be the number of papers Mr. Garcia selects until he finds one with the sources cited incorrectly. Find the probability that the 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript paper Mr. Garcia selects will be the first with the sources cited incorrectly. You may round your answer to the nearest hundredth.
Answers
Answer:
.022
Step-by-step explanation:
Answer on Khan
Factor 63z+72. Write your answer as a product with a whole number greater than 1.
Answers
If not my bad hopefully you find another answer :P
Marco had 21 party favors. He put them into 7 bags with the same
number in each bag. How many party favors were in each bag?
Answers
3
EXPLANTION:
21/7 is 3
FUN FACT:
People have been celebrating birthdays since 100 AD.
I hoped this helped and have a wonderful day :)
Which descriptions from the list below accurately describe the relationship
between A ABC and A DEF? Check all that apply.
Answers
The triangles given are of the same shape and similar.
What are similar triangles?Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal.
Given are two triangles, we need to determine the relation between them,
So, we are given that corresponding angles are congruent, in both the triangles,
According to the definition of similar figure, we can say that the shapes are same and triangles are similar.
Hence, the triangles given are of the same shape and similar.
Learn more about similar triangles, click;
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Today, everything at a store is on sale. The store offers a 25% discount.
If the regular price of an item is x dollars, what is the discount price in dollars?
Answers
Answer:
dived the price by two and dived that answer by two
Step-by-step explanation:
lets say the price is 245 you dived it by two
245/2= 122.5 that's 50 percent of the price so you dived it bye two
122.5/2=61.25
so that's 25 percent of the price
3. On February 1, the balance in your account is $516.81. On July 1,
you deposit $310.90. Your bank pays 6.25% interest.
a. How much interest have you earned on July 1?
b. What is the amount in your account on July 1?
c. How much interest have you earned on November 1?
d. What is the amount in your account on November 1?
Answers
Answer:
Click here to get an answer to your question ✍️ On February 1, the balance in your account is ... On July 1, you deposit $310.90. Your bank pays 6.25% interest. 1 ... Add your answer and earn points. ... The Unit Cost C (the cost in dollars to make each car) depends on the numbers of cars made.
Step-by-step explanation:
Hope this helps
a. Interest earned on July 1 is $14.6.
b. The amount in the account on July 1 is $842.31.
c. Interest earned on November 1 is $17.5.
d. The amount in account on November 1 is $859.81
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, On February 1, the balance in your account is $516.81 and the bank pays 6.25% interest.
Now, from February 1 to July 1 is 5 months or 5/12 years.
∴ SI earned is = (561.81×6.25×5/12)/100.
= $14.6
On July 1, you deposit $310.90 so the current balance is
$(516.81 + 14.6 + 310.90) = $842.31.
From july 1 to november 1 it is 4 months or 4/12 = 1/3 years.
∴ SI = (842.31×6.25×1/3)/100.
= $17.5.
The amount on November 1 is $(842.31 + 17.5) = $859.81
learn more about simple interests here :
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8. name an angle bisector
9. name a perpendicular bisector
10. name an altitude
11. name a median
Answers
Answer:
8. AD
9.GC
10. BE
Step-by-step explanation:
X 3.6.PS-10 Question Help A new bank customer with $4,500 wants to open a money market account. The bank is offering a simple interest rate of 1.7%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
