Answer: h = 120 ft; w = 80 ft
A = 9600 ft^2
Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:
A = h*w (eq1)
The total amount of fence used is:
L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)
Solving for w:
w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:
We derive this and equal zero to find its maximum:
Solving for h:
h = 120 ft. Replacing this into eq3:
w = 80ft
Therefore the maximum area is:
A = 9600 ft^2
At a local baseball game, the concession stand has two different meal choices. You can get 7 hotdogs and 5
drinks for $41.00 or you can get 4 hotdogs and 8 drinks for $44.00. If the price of hotdogs and drinks is the
same for each meal, find how much it costs for an individual hotdog and how much it costs for an individual
drink.
per hotdog:
per drink:
Answer:
Each hotdog is $3 and each drink is $4.
Step-by-step explanation:
Let h be the number of hotdogs and d the number of drinks,
7h + 5d = 41
4h + 8d = 44
Let's eliminate h. Multiply the first by 4 and the second by 7.
28h + 20d = 164
28h + 56d = 308
Subtrat the first from the second.
36d = 144
d = 4
Substitute back into one of the equations.
7h + 5(4) = 41
7h + 20 = 41
7h = 21
h = 3
What is the value of square root 30 is between witch two integers
A-4and5
B-5and6
C-6and7
D-7and8
Answer:
b
Step-by-step explanation:
because
Help me with this please it says how can you isolate the term f/3 in f/3 + 22 = 17
Answer:
Given:[tex]\sf {\dfrac {f}{3}}+22=17 [/tex]
To find:-[tex]\sf {\dfrac {f}{3}}[/tex]
Solution:-First write the equation[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}+22=17 [/tex]
Now take 22 to the other side by which the "+"sign will turn "-".[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}=17-22 [/tex]
Simplify[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}=-5 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf {\dfrac {f}{3}}=(-5)}}}[/tex]
Answer: Subtract 22 from both sides.
Step-by-step explanation:
f/3 +22 = 17
f/3 +22 -22 = 17 -22 Subtracting the same value from both sides keeps the equation equal.
Then simplify. The +22 and -22= 0 They "cancel" 17-22 = -5
f/3 = -17 f/3 is now isolated-- by itself-- in the equation.
If you had to solve for f, the next step would be to multiply both sides by 3.
9 ⋅ (-.5) what is the answer
Answer:
-45
Step-by-step explanation:
9x5=45, and since there is a negative, you put it before 45.
Hope I helped!
Please mark Brainliest!!!
A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.
Answer:
X = 4 because 20 times 16 is 320 than if you add 4 to the 20 you will get 24. 24 times 16 is 384. BOom thats your answer and i know because i just answered it.
Step-by-step explanation:
combine like terms 2x - 3 - 2y - 4x + 2y + 5
Answer:
-2x + 2
Step-by-step explanation:
2x - 3 - 2y - 4x + 2y + 5
2x - 4x + 2y - 2y + 5 - 3
-2x + 2
Jan tossed a coin 50 times and got a head 20 times. What is the
experimental probability? What is the theoretical probability?
Answer:
The standard answer for this is 50%.
Step-by-step explanation:
However, this is based on the implicit assumption that the coin is fair.
If there are reasonable grounds to doubt that the coin is fair, the theoretical probability must be based on observed statistics. In this scenario, the probability is 60%.
On a coordinate plane, the x-axis is labeled Number of Days and the y-axis is labeled Number of Computers. A line goes through points (3, 36), (4, 48), (5, 60). The graph shows a proportional relationship between the number of computers produced at a factory per day. In three days, 36 computers are produced; 48 computers are produced in 4 days; and 60 computers are produced in 5 days. Find the unit rate of computers per day using the graph. Unit rate: computers per day
Answer:
12 is the answer ppl hope it helps you all
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i got it right on edg
If m∠ACD = 136° and m∠B = 42°, Find m∠A.
Answer:
2°
Step-by-step explanation:
Hello
I see you are very confused by this problem. However, there is an easy way to solve this one.
It has been proved that the sum of all angles in a rectangle is always 180°. Here is a way to prove it:
x y
_______A_________
/\
/ \
/ \
/ \
___/_______ \__
B C
we have two parellel lines xy and BC. It is true that:
xAy = 180°
xAB + BAC + CAy = xAy = 180
xAB = ABC
CAy= ACB
=> ........
I'll let you finish with your great intellect ^_^
HOPE YOU LEARN WITH JOY AND GOOD GRADE
425 divided by 14 please i need to know fast
Answer:
30.3571429
Step-by-step explanation:
1. Identify each part of the exponent: (-4)3
Base =
Exponent =
Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years
Answer:
$72,000
Step-by-step explanation:
6000-5000=1000
1000x6 =6000
6000x12=72,000
A bag contains 5 RED beads, 3 BLUE beads, and 4 GREEN beads. If a single bead is picked at random, what is the probability
Answer:
total number of beads :-
5+3+4=12
probability is :-
number of times a specific outcome has occurred
total number of possible outcomes
red beads - 5/12
blue beads - 3/12
green beads - 4/12
the above given fractions are the probabilities of each color bead.
Step-by-step explanation:
hope this helps, if yes please can u give me a brainly?
i would really apreciate it...
have a great day ahead :)
I need help please Will mark brainliest. Thank you so much.
A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.
Answer:
20r + 310
Step-by-step explanation
For the first part.
The required expression is 20x + 310 which represents the area of the park as the sum of the areas of the sports field and the playground.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Let x represent the length in meters of the sports field.
Here, the area of the sports field = 20 × x = 20x units
And, the area of the playground = 15.5 × 20 = 310 units
Now, the required expression to represent the area of the park will be :
⇒ area of the sports field + area of the playground
⇒ 20x + 310
Thus, the required expression is 20x + 310.
Learn more about Expressions here :
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Some algae contains up to 50% oil by weight. How much oil is in a 7.3-ounce sample of this type of algae?
This would help if you could solve anyone.
Answer: 3.65
Step-by-step explanation:
This question is asking basically what is 50% or 1/2 of 7.3.
Let's expand the number 7.3
Then, we end up getting 7.30.
We have to find 1/2 of 7.30.
[tex]\frac{1}{2}[/tex] of 7.30 = [tex]3.65[/tex]
Hope this helps you!
Steph bought a used bicycle restored it and then marked it up by 1/4 of the price she paid later she sold it for the marked-up price of $80 how much in dollar did steph pay for the bicycle ?
Answer:
Steph payed $64 for the bicycle
Step-by-step explanation:
80/5=16
16×4=64
hopefully this helps :)
Anyone help with this
Answer:
Anyone help with this
x = 3t / bVeronica take 1/3 of an hour to write 1/4 of a page of calligrahpy how long will it take Veronica to write one page
Answer:
b because it takes 1 hour to complete 3/4 of a page so 3/3 = 1 hour 1 1/3 =1 and a third of an hour
Step-by-step explanation:
arange the number line in the following spending order 20,-40,5-1,10
Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept? Question 2 options: y = –2x + 5 slope = –2 y-intercept = 5 y = 4x + 5 slope = 4 y-intercept = 5 y = 2x + 4 slope = 2 y-intercept = 4 y = –4x + 5 slope = –4 y-intercept = 5
the answer should be : y=-2x+5
29-3x=5x+5
Can you work it out
Answer:
x=3
Step-by-step explanation:
29 - 3x = 5x + 5
Subtract 5 from both sides:
24 - 3x = 5x
Add 3x to both sides:
24 = 8x
Divide both sides by 8:
X = 3
Stu
The point on the parabola y = 3 - x2 that is closest to the point (3,3) is
(Type an ordered pair. Round to two decimal places as needed.)
Step-by-step explanation:
i!ieirurieiewjsisks
AB×6=BBB (playing with numbers.)
Answer:
A = 7
B = 4
Step-by-step explanation:
If u wanna know how i got this answer plz look at the comments below since it will delete my answer U-U
7(3x -4) = 49
can you help me
Answer:
3 2/3
Step-by-step explanation:
7(3x-4)=49
21x-28=49
21x=77
x=3 2/3
what is one thousandth less than 0.061
Answer:
one thousandth is greater than 0.061
Step-by-step explanation:
can i get help here ?
4x - 4 - 8y + 8 - 5x + 1 =
Answer:
-x - 8y + 5
Step-by-step explanation:
Add the numbers
4x - 4 - 8y + 8 - 5x + 1 =
4x + 5 - 8y - 5y
Combine like terms
4x + 5 - 8y - 5y
-x + 5 - 8y
Rearrange terms
-x + 5 - 8y
-x - 8y + 5
The solution of expression is,
⇒ - x - 8y + 5
We have to given that,
An expression is,
⇒ 4x - 4 - 8y + 8 - 5x + 1
Now, We can simplify by combining like terms as,
⇒ 4x - 4 - 8y + 8 - 5x + 1
⇒ 4x - 5x - 8y - 4 + 8 + 1
⇒ - x - 8y + 5
Therefore, The solution of expression is,
⇒ - x - 8y + 5
Learn more about the mathematical expression visit:
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Please answer the screenshot I attached below
Answer:
i think the answer is
[tex] \frac{1}{ {x}^{ \frac{4}{3} }} [/tex]
Below are two parallel lines with a third line intersecting them.
Answer:
x = 132
Step-by-step explanation:
180 - 48 = 132