Answer:
24p - 10
Explanation:
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?
Answer:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Step-by-step explanation:
Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.
Since each section of fencing is 1-foot long, both x and y must be integer numbers.
The perimeter of the rectangular space is calculated as:
P = 2x + 2y
And we know she uses all 30 sections of fencing, thus:
2x + 2y = 30, where x, y are integers and positive.
Simplifying by 2:
x + y = 15
Solve for x:
x = 15 - y
This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.
Another valid option is for y=2, x=13
Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.
Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.
The area of a rectangle is
[tex]A=x\cdot y[/tex]
Testing some possible arrangements:
y=1, x=14
[tex]A=1\cdot 14= 14 ft^2[/tex]
y=2, x=13
[tex]A=2\cdot 13= 26 ft^2[/tex]
y=3, x=12
[tex]A=3\cdot 12= 36 ft^2[/tex]
We can notice the combination y=7, x=8 has an area of:
[tex]A=7\cdot 8= 56 ft^2[/tex]
This is the largest possible area of all combinations, thus:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Pls help ASAP for BRAINLIEST
Answer:
-5
Step-by-step explanation:
h(-2)=3(-2)+1
= -6+1
= -5
hope this help you!! :))))))
Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X. List the values that X may take on. Give the distribution of X. X ~ _____(_____,_____) On average, how many dice would you expect to show a one? Find the probability that all six dice show a one. Is it more likely that three or that four dice will show a one? Use numbers to justify your answer numerically.
Answer:
Step-by-step explanation:
Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.
Hence, 6 dice are rolled at once for this experiment.
Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:
The number of dots that show on the upward face of the rolled dice.
The values that X may take on are:
1 2 3 4 5 6
On average, how many dice would you expect to show a one?
One die.
How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.
Find the probability that all six dice show a dot in just one toss.
Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.
1/6 divided by 6 = 0.167/6 = 0.028 approximated to three decimal places.
This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!
Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?
The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.
Kudos!
how to get 20 dollars by using 25 cents?
please work it out on paper
Answer:
below if you cant read it, it takes 80 quarters
Step-by-step explanation:
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!
THANK YOU ;)
Answer:
Step-by-step explanation:
7 ) -3p=-48
p=-48/-3
p=168) -98=7t
t=-98/7
t=-149) -4.4 y =-4
y=-4/-4.4
y=1.110) 2.8 c=4.2
c=4.2/2.8
c= 1.516. (01.07)
An equation is shown below:
4(x - 3) - 5(x + 1) = 3
Which statement shows a correct next step in solving the equation? (1 point)
The equation can become 4x - 3 - 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x - 3 - 5x + 1 = 3 by applying the distributive property.
The equation can become 4x - 12 - 5x - 5 = 3 by applying the distributive property.
The equation can become 4x - 12 - 5x - 5 = 3 by applying the associative property of multiplication.
17.(01.07)
00:07:38
Answer:
Use the site called quetext is helps when brarnly is not
Step-by-step explanation:
Need help asap! Thanksss
Answer: 558^2
Step-by-step explanation: ( A= a+b/2 x h)
A= 28+34/2 x 18 = 558
hopefully this helps
Please help me out with this!! No joke answers!
Answer:
13 protons
14 neutrons
13 electrons
Step-by-step explanation:
protons and electrons are mostly always the same
Answer:
Number of Protons 13
Number of Neutrons 14
Number of Electrons 13
I am to mental for this math... XD plz h e l p
Answer:
a ≥ [tex]-\frac{64}{3}[/tex]
Step-by-step explanation:
You would solve this exactly as if the ≥ sign was an equal sign:
[tex](\frac{3}{4} )a[/tex] ≥ [tex]-16[/tex] [Given]
3a ≥ -64 [Multiply 4 on both sides of the sign]
a ≥ [tex]-\frac{64}{3}[/tex] [Simplify]
Hope this helps! I apologize if I'm incorrect
6 lbs of potatoes cost $72. How many
lbs of potatoes can you get with $516?
Answer:
42
Step-by-step explanation:
516 divided by 72 = 7.1. You cant use .1 pound . Then you do 6*7 = 42 pounds of potatoes
BRAILIEST, 5 STARS, A THANKS, AND 35 POINTS!!!
Noah’s scores for four Spanish quizzes are 70, 75, 83, and 80. What score must he get on the next quiz to achieve an average of at least 80?
Answer: 92
Step-by-step explanation:
Here's our set-up:
(70 + 75 + 80 + 83 + x) / 5 = 80
Simplify:
(308 + x) / 5 = 80
Multiply both sides by 5:
308 + x = 400
Subtract 308 from both sides:
x = 92
Answer:
92
Step-by-step explanation:
In order to get an 80 in 5 tests, he needs to accumulate 400 points.
If he accumulated 80+70+75+83 points, 308, he would need a 92 on the next test to get an 80 average.
I catfished someone and I was being so nice I don’t think I’ve ever been that nice to someone the point is that imma Kermit (meme)
Answer:That’s um tuff
Step-by-step explanation:
In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?
Answer:
15%
I like your demon slayer profile picture
Answer:
The answer is 15%.
Step-by-step explanation:
If 100 is 10% it only makes since that 15% is the right answer.
Hope This Helps!
Bobby Joe and Billy ray went fishing at the local watering hole and caught a total of 51 fish. Billy Rat caught 17 fewer fish than Bobby Joe. Write an expression you can use to find out how many fish, f, each boy caught. How many fish did each boy catch? Bobby Joe caught ___ fish Billy Ray caught___ fish
Answer:
Bobby Joe caught 34 fishes
Billy Ray caught 17 fishes
Step-by-step explanation:
Let the number of fish Bobby Joe caught = y
Let the number of Billy Ray caught = x
Total number of fish caught = 51 fishes
x + y = 51......... Equation 1
Billy Ray caught 17 fewer fish than Bobby Joe.
y = x - 17
Write an expression you can use to find out how many fish, f, each boy caught.
Substitute x - 17 for y in Equation 1
x + y = 51......... Equation 1
x + (x - 17) = 51
x + x - 17 = 51
2x = 51 - 17
2x = 34
x = 34/2
x = 17
Hence, Bobby Joe caught 17 fishes
x + y = 51
17 + y = 51
y = 51 - 17
y = 34
Hence, Billy ray caught 34 fishes
Watermelons are on sale at the grocery store. They cost $6
for 2 watermelons. How many watermelons could you buy
for $21?
Answer:
7
Step-by-step explanation:
Answer:10 watermelons
Step-by-step explanation:
b)
2x-5=2(x-1)
Ayuda
How can you graphically tell if a quadratic equation will have a complex solution?
Answer:
If it does not cross the x axis.
Step-by-step explanation:
If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution
The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.
use the vertex formula to find the vertex of the quadratic function f(x)=-x^2+6x-10
Answer:
15
Step-by-step explanation:
Answer:
I am sorry I can't help
Step-by-step explanation:
please forgive me
is 1.908x10 to the 17 power scientific why or why not
Answer:
Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.
Find the 87th term of this sequence: 157, 150, 143, ...
Answer:
[tex]\bold{a_{87}=-445}[/tex]Step-by-step explanation:
[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]
If a is 16 ft. and bis 30 ft what is the length of c in a right triangle?
O 34 ft.
O 34
0 34.1
Answer:
34 ft.
Step-by-step explanation:
Use the theorem [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], and then square root that number.
[tex]16^{2} + 30^{2} =[/tex] [tex]\sqrt{1156}[/tex] = 34. So the answer is 34 ft.
A circle has a diameter of 18 inches. If 1 inch is approximately 2.5 centimeters, what is the diameter in centimeters?
Answer:
45
Step-by-step explanation:
Last summer,emelian decided to measure change in a swimming pools water level each week. It was hot and dry the first week and the level decreased by 8 inches.During the second week, it rained and the water level increased by 17 inches. Model the changes as a sum of integers.
Answer:
(-8) + (+17) = -8 + 17 = 9
Step-by-step explanation:
Level of water in the first week = - 8 (the negative sign represents a decrease in inches, of the level of water)
Level of water during the second week = + 17 (the positive sign represents an increase, in inches, of the level of water).
These changes in the level of water can be modelled as sum of a positive and a negative integer as follows:
(-8) + (+17)
When adding a negative and a positive integer value, subtract the smaller value from the greater value, and retain the sign of the value that is greater.
17 is greater than 8. Therefore, subtract 8 from 17, and retain the sign of 17.
Thus:
(-8) + (+17) = -8 + 17
= 9
If C is a circles circumference and r is it’s_____,then C=2pi r. The_____of a circle can be found by taking the product of half the circumference and the radius
Answer:
r is the radius, area
Step-by-step explanation:
Good luck
Answer:
Step-by-step explanation:
The first blank is radius.
The circumference = 2 * pi * r
For the second answer, if you take 1/2 the circumference, you get pi * r
If you then multiply by r, you get pi * r * r
pi * r^2 = the area.
Simplify 72+3w2 - 29w-61w2 + 23w - 42.
Which graph represents this system?
2x-5--5
y-3x+1
can't see the graphs....
please edit the picture if u can.
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measerment he oringinaly planned for the lenth of the pool to be 40m but decided to change to 32 m if the lenth of the pool in his scsale drawing is 8 centimeters which statement about the change of scale is true
Answer:
The question is not complete, fortunately, I found a match:
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?
one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.
answer:
one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Step-by-step explanation:
To calculate the scaling factor, we will divide the actual figure by the figure in the scale.
Before the change: 8cm in the drawing represents 40m
8cm ≡ 40m
∴ 1cm ≡ 40 ÷ 8 = 5m
∴ 1 cm represents 5m
After the change: 8cm in the drawing represents 32m
8cm ≡ 32m
∴ 1cm ≡ 32 ÷ 8 = 4
∴ 1cm represents 4m
Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Answer:
It’s the first choice
Step-by-step explanation:
Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.
Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3)
Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 3: y + 2 + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – + 2
Step 4: y = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 5: f(x) = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Analyze each step to identify if Andy made an error.
Yes, he made an error in Step 1. He switched the x and y values.
Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly.
Yes, he made an error in Step 3. He should have subtracted 2 from both sides.
No, his work is correct.
answer is C
He made an error in Step 3. He should have subtracted 2 from both sides.
Answer:
c
Step-by-step explanation:
Tamara was worried about her six-year-old dog, Suze, so she
took her to three different veterinarians. Each vet told her the
approximate age of her dog in dog years based on Suze's
health. Tamara graphed her dog's age in dog years and
included the three vets' approximations at age 6.
Do
you
think this graph is a function?
Answer: Yes ido
Step-by-step explanation: