Answer: 2x2x2x2x2=10 10 diveded by 8= 1.25
Answer:
1.25
Step-by-step explanation:
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Six hundred feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. What is the maximum area?
Answer:
the smallest dimension = 100 ft
the largest dimension = 150 ft
Maximum Area = 15000 ft²
Step-by-step explanation:
let x represent length of one side and L represent length of adjacent side
so from the question
3x + 2L = 600
2L = 600 - 3x
L = (600 - 3x)/2
L = (600/2) - (3x/2)
L = 300 - (3x/2)
now Area of rectangle = L × x
Area = (300 - (3x/2)) × x
Area = 300x - 3x²/2
now we differentiate with respect to x and equate to 0 in other to find critical point
dA/dx ⇒ 300x/x - 3x²/x = 0
300 - 3x = 0
3x = 300
x = 300/3
x = 100
so we input value of x into our previous equation
Area = 300x - 3x²/2
= 300(100) - (3(100)²)/2
= 30000 - 15000
Area = 15000
also we input value of x in L = 300 - (3x/2)
L = 300 - (3(100))/2)
L = 300 - 150
L = 150
Therefore
the smallest dimension = 100 ft
the largest dimension = 150 ft
Maximum Area = 15000 ft²
What is a perfect square
Answer:
the product of a rational number multiplied by itself.
the product of a polynomial multiplied by itself.
Step-by-step explanation:
A hockey goalie is paid $500 per game, less $45 for each goal he allows to score. Write an algebraic expression that would equal how much he gets paid in a game
Answer:
x=500+45y
Step-by-step explanation:
From the information given, the algebraic expression that would equal how much he gets paid in a game would be the amount that the hockey golie is paid per game minus the result of multiplying $45 for the number of goals he allows to score. According to this, the expression is:
x=500+45y, where x is the amount the hockey goalie gets paid in a game and y is the number of goals he allows to score.
a and b are complimentary angles. if m a = (6x+29) and m b = (x-5) then find the value of a.
Answer:angle a is about 85.57°
Step-by-step explanation:
Since they are complimentary, their sum equals 90° (6x+29+x-5=90°). You use this equation to find the value of x, which is ~ 9.428. After finding the value of x you plug it back in into a’s equation to find the value of a.
(what is 2+2+2+2+2+1234)
Who here watches f1, and who is your fav driver
Answer:
1244
Step-by-step explanation:
Find the coordinates of J if M(-2, 1) is the midpoint of JL and L(-7, 2)
Answer:
J (3,0)
Step-by-step explanation:
Which situation results in a final value of zero?
А. The temperature after a decrease of 5°F from a temperature of -5°F.
B. The height of an airplane after taking off from ground level and rising 1,000 feet.
C. The amount of money received in change after making a $10 purchase with a
$20 bill.
D. The distance above sea level after increasing 24 meters from a depth of 24 meters
below sea level.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!
Answer:
ok
Step-by-step explanation:
Determine which equation below has a solution of x = 2.
A. 5x + 8 – 12x = -6x + 2x - 3
B. 6x + 4 – 12x = -10x + 18x - 3
C. 48-6 +x= -2x + x - 10
D. -3x - 8 + x = -4x + x - 10
Answer:
I am not sure, I might have did my math wrong. But..
Step-by-step explanation:
5(2)+8-12(2) = -6(2)-3
10+8-12=-12-3
6=-15
6(2)+4-12(2)=-10(2)+18(2)-3
12+4-24=-20+36-3
-8=13
48-6+2=-2(2)+2-10
44=-4+2-10
44=-12
-3(2)-8+2=-4(2)+2-10
-6-8+2=-8+2-10
-14+2=-6-10
-12=-16
Answer:
Step-by-step explanation:
A, B and C
What is the Ratio of dimes to pennies
Answer:
10 to 5
Step-by-step explanation:
explenation....!!!!
Answer:
6 + 5 is 30 so on a graph 6 is on the x axis and 5 is on the y axis so you move 6 times to the right on the x axis and move 5 up on the y axis and then you get 30
hope that helps
Step-by-step explanation:
If x varies directly as y, and x = 12 when y = 27, what is x when y = 3?
Answer:
-12
Step-by-step
What is the difference between a population characteristic and a sample statistic?
engage
Answer: SEE EXPLANATION!
Step-by-step explanation:
Population Parameters versus Sample Statistics
A parameter is a value that describes a characteristic of an entire population, such as the population mean. ... A statistic is a characteristic of a sample. If you collect a sample and calculate the mean and standard deviation, these are sample statistics.
The difference between Population characteristic and Sample statistic is discussed below.
What is Statistic?Statistics is a branch of applied mathematics that allows us to collect, describe and analyze the given set of data in order to make inference of conclusions on the given data set.
Given are two terms as population characteristic and a sample statistic.
Population characteristic refers to the characterization of various types of populations within a social or geographic group, with emphasis on demography, health status, and socio-economic factors. There are various characteristics of a population such as population size and density, populace spatial dissemination, age structures, birth rate or Natality and mortality rate.
Sample statistic represents the calculation that you measure from a subset of a larger group (the population).There are 5 types of sampling - Systematic, random, convenience, cluster and stratified.
Therefore, the difference between Population characteristic and Sample statistic is discussed above.
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Coconuts were on sale, 4 for $4.44. Pineapples were on sale, 3 for $3,63. Which
of the following is true?
ОА.
1/6
Coconuts are 10¢ less each than pineapples,
Coconuts are 10¢ more each than pineapples,
B.
OC. Coconuts are each $1.21.
OD. Pineapples are each $1.11.
Answer:
The answer is Coconuts are 10 cents less than the pineapples.
Step-by-step explanation:
You had to find what each of them cost which was $1.11 for each coconuts and the pineapples were $1.21 each. Then you had to subtract to find the difference which was 10 cents. So since the pineapples were more, the answer was the coconuts were 10 cents less than the pineapples.
Coconuts: $4.44 ÷ 4 = $1.11 each Pineapple: $3.63 ÷ 3 = $1.21 each
1.21 - 1.11 = 10 cents
Write the equation of the line in point - slope form .
Answer:
(-5,1)
Step-by-step explanation:
A store has 5 rings and 9 bracelets for sale. If all 14 items sell, how much money will the store take in? Choose the correct answer and explanation. Bracelets cost $88. Rings cost $125. A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417 B. $1,427 9 × $88 = $802; 5 × $125 = $625; $802 + $625 = $1,427 C. $1,565 9 × $125 = $1,125; 5 × $88 = $440; $1,125 + $440 = $1,565 D. $2,982 5 + 9 = 14; $88 + $125 = $213; 14 × $213 = $2,982
Answer:
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.
Step-by-step explanation:
From the question,
A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.
First, we will determine the total cost of the rings
From the question, a ring cost $125
∴ 5 rings will cost 5 × $125
5 × $125 = $625
Hence, the total cost of the rings is $625
For the bracelets
From the question, a bracelet cost $88
∴ 9 bracelets will cost 9 × $88
9 × $88 = $792
Hence, the total cost of the bracelets is $792
The amount the store will take in will be $625 + $792 = $1417
Hence, if all 14 items sell, the amount of money the store will take in will be $1417.
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417
Answer:
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.
Step-by-step explanation:
From the question,
A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.
First, we will determine the total cost of the rings
From the question, a ring cost $125
∴ 5 rings will cost 5 × $125
5 × $125 = $625
Hence, the total cost of the rings is $625
For the bracelets
From the question, a bracelet cost $88
∴ 9 bracelets will cost 9 × $88
9 × $88 = $792
Hence, the total cost of the bracelets is $792
The amount the store will take in will be $625 + $792 = $1417
Hence, if all 14 items sell, the amount of money the store will take in will be $1417.
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417
Step-by-step explanation:
Find the appropriate answer for each word problem.
a. A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the
students is $125. What is the cost of admission for each student?
b. The school van can carry twelve passengers at a time. What is the least number of trips the van must make in order to
bring 125 passengers to the same location?
C. Charlotte and her mother
baked 125 cookies to give as Christmas gifts to their neighbors. If they plan to give a dozen
cookies to each neighbor, how many neighbors will receive a gift?
d. Nicholas and Elaine are planning to serve cheesecake for dessert at their wedding and have purchased twelve
cheesecakes. If the cheesecakes are divided evenly among the 125 wedding guests, how much cheesecake will each
guest recelve?
Please show your answer and explain how you got it! Thanks so much! Will give brainliest
Answer:
A:10.416 bar over the 6b:11c:10d:10.416 bar over the 6Step-by-step explanation:
a: we have to do 125/12. This is equal to 10.4166666666666666666(with infinite 6's)
b:our equation is 125/12 rounded up. That is equal to 11.
c: If they give a dozen to each neighbor, the equation is 125/12 rounded down which is equal to 10.
d: the equation is 125/12 which is we have to do 125/12. This is equal to 10.4166666666666666666(with infinite 6's)
Can someone help pls fast
Answer:
5
Step-by-step explanation:
a^2 + b^2 = c^2
12^2 + b^2 = 13^2
144 + b^2 = 169
169 - 144 = 25
sqrt of 25 = 5
Based on the line of best fit, what is the predicted
height for someone with a first metacarpal bone
that has a length of 4.45 centimeters?
A)168 centimeters
B) 169 centimeters
C) 170 centimeters
D) 171 centimeters
Answer:
C) 170 centimeters
Step-by-step explanation:
The missing graph-diagram to the question is attached in the image below.
Using the line of best fit, the predicted height for someone with a first metacarpal bone that has a length of 4.45 centimeters can be determined as follows:
The length of 4.5 centimeters appears on the horizontal x-axis; This implies that 4.45 is a half distance between the undotted 4.4 centimeters and the dotted 4.5 centimeters. Similarly, on the vertical y-axis, 170 is directly equivalent to the dotted point of 4.5 centimeters. Thus, the predicted height with a 4.45 centimeters length is approximately 170 centimeters by using the line of best fit.
4x - 8 = 12
4x - 8 + 8 = 12 +8
4x = 20
4/4x = 20/4
x=
What does x equal!?
Answer:
x=5
Step-by-step explanation:
GIVING BRAINLIEST TO THE RIGHT ANSWER!!A person standing on a moving walkway travels 60 feet in 20 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y = 1/3; 3 feet
B. y = 3x; 30 feet
C. y = 3x; 3 feet
B. y = 5x; 50 feet
Eric bought a packet of toffees for his friend. The packet had 2/6 of a pound of toffee. He broke the toffee into 7 equal paper baggies. What is the weight of one of those baggies
Answer:
1 / 21 pound
Step-by-step explanation:
Weight of toffee in a packet = 2/6 pounds
Toffee is broken into 7 equal baggies ;
Weight of one of the baggies :
Weight of toffee before being broken / number of division
= 2/6 ÷ 7
= 2/6 * 1/7
= 2 / 42
= 1/21 pounds
There are 120 students in a school. In a survey of all students, 47 students support delaying the start of school, 53 students do not support delaying the start of school, and 20 students are indifferent to the school start time. If a student is selected at random, find the probability that the selected student is not indifferent to the school start time. Express your answer in simplified rational form.
Answer:
The probability that the selected student is not indifferent to the school start time is 0.8333.
Step-by-step explanation:
Define the events s follows:
X = students support delaying the start of school
Y = students do not support delaying the start of school
Z = students are indifferent to the school start time.
The events X, Y and Z are mutually exclusive events.
That is they cannot occur together.
Compute the probability that the selected student is not indifferent to the school start time as follows:
P (Z') = P (X or Y)
= P (X) + P (Y)
[tex]=\frac{47}{120}+\frac{53}{120}\\\\=\frac{47+53}{120}\\\\=0.8333[/tex]
Thus, the probability that the selected student is not indifferent to the school start time is 0.8333.
A school held several evening activities last month - a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. 350 peolpe attended the drama play.
50% of the people who attended the drama play also attended the music concert. What percentage of the people who attended the music concert also attended the drama play?
Answer:
70% of the people attended the music concert also attended the drama play
Step-by-step explanation:
Drama:
50 x 350 = 175
100
350 ÷ 2 (50%) = 175
50% (1/2) of 350 = 175
Music Concert:
175 x 100% = 70%
250
175 of 250 = 70%
70% of the people attended the music concert also attended the drama play
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
A school held several evening activities last month - a music concert, a basketball game, a drama play, and literacy night
The music concert was attended by 250 people
350 people attended the drama play.
50% of the people who attended the drama play also attended the music concert.
350/2=175
We need to find the percentage of the people who attended the music concert also attended the drama play.
175/250 x 100 = 70%
Hence 70% of the people attended the music concert also attended the drama play
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A racehorse that wins the 3200 meter Cup in a time of 200 seconds. What is the racehorse's average speed?
Answer:
16
Step-by-step explanation:
Speed=distance/time
S=3200/200
S=16
boris added 8 fish to his pool each day for 64 days. what was the total change in the number of fish in the pond?
Answer:
512 fish
Step-by-step explanation:
the temperature dropped 18 F over a 5-hour period of time. What was the constant temperature change per hour?
Answer:
it dropped 3.6 F each hour
Solve for k. You may either explain each step of the process in the box below or attach a photo that shows your work in solving it.
4k + 13 = 3k + 5
it equals -8.
4k + 13 = 3k + 5
4k + 13 - 13 = 3k + 5 - 13
4k = 3k - 8
4 k − 3 k = 3k - 8 - 3k
k = -8
please help
will give brainlyest
Answer:
the answer is b
pls give brainliest
Step-by-step explanation:
After a picnic, 5/12 of the cornbread is left over. Val eats 2/5 of the leftover cornbread. What fraction of cornbread does Val eat? Enter your answer in simplest form.
Answer:
Val ate 1/6 of the corn bread.[already in simplest form]
Step-by-step explanation:
5/12 of the cornbread is left over after the picnic.Val eats 2/5 of the leftover cornbread which is 5/12.
In an equation that is:2/5 of 5/12
Of means multiply,so cross multiply the number to get the final answer.
Val ate 1/6 of the cornbread[12/12]
CAN SOMEONE PLEASE EXPLAIN THIS TO ME< BEST ANSWER WILL BE MARKED BRAINIEST!
If an equilateral has a side length of 8, find the height. Make a sketch and solve
Answer:
its a triangle with all sides the same legnth
Step-by-step explanation: