Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
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]
Jeremy bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
Answer:
$0.90
Step-by-step explanation:
you would divide it by 5
$4.50/5=$0.90
hope this helps
brainliest?
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
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.
Which graph represents this system?
2x-5--5
y-3x+1
can't see the graphs....
please edit the picture if u can.
Describe how you would solve -2x - 3 < 5
Answer:
x > -4
Step-by-step explanation:
-2x-3<5
+3 +3
-2x<8
/-2 /-2
x>-4
Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.
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
Two consecutive odd Integers have a sum of 72. What are the two odd
Integers
Answer:
35 and 37
Step-by-step explanation:
Answer:
35 and 37
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= 1.5find the side length of x . round your answer to the nearest hundredth of 11,14, x
Answer:
17.8
Step-by-step explanation:
use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer
A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.
Apex: 25 feet is the correct answer!
Step-by-step explanation:
Take it or leave it:) Good Luck
The height of the pole is 25 foot (approximate)
What is angle of elevation?The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.
Given,
The shadow of the flagpole = 40 foot,
and the angle from the tip of the shadow to the tip of the flagpole = 32°
Perpendicular is the height of the pole and Base is its shadow.
Tan(x)=(perpendicular)÷(base)
Tan(32°) = 0.624869352
0.624869352 = (height of pole)÷40
0.624869352 x 40 = height of pole
24.9947741 = height of pole
Height of pole = 24.9947741
Height of pole ≈ 25 foot
Hence, tthe height of the pole is 25 foot (approximate)
Learn more about angle of elevation:
https://brainly.com/question/20692301
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You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
Answer:
40 minutes is your answer
Answer: It will take a 1/2 hour or 30min to paint one full wall.
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.
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
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]
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
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!
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
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
PLEASE TELL HOW YOU GOT THE ANSWER!!
Answer:
Step-by-step explanation:
Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles
Lucy shares 1/3 with Carol and keeps 1/4 for herself.
This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.
C = 1/3x
L = 1/4x
We are also told that Carol has 7 more marbles than Lucy
C = L + 7
Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:
1/3x = 1/4x + 7
Subtract 1/4x from both sides
1/3x - 1/4x = 7
1/12x = 7
Multiply both sides by 12 to find x.
x = 7 times 12 = 84 (Total amount of marbles = 84)
Amrita gets the remaining number of marbles.
A = x - C - L
A = 84 - 1/3 (84) - 1/4 (84)
A = 35
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:
16. (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:
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.
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!
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
Anna walks her dog at a constant rate of 12 blocks in 8 minutes. Complete the table to show the total time it takes to walk 12, 24, 36, and 48 blocks.
12=8 minutes
24=16 minutes
36=24 minutes
48=32 minutes
Answer:
8 min in 12, 16 in 24, 24 in 36, and 32 in 48
Step-by-step explanation:
First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.
Which is grater 1/2 2/3 1/4 5/6
Answer:
5/6 is the greatest, it is closer to a whole number
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
1/2 is only half
2/3 is very close
1/4 is not close at all
5/6 is the best answer
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:
What is the value of sin 53° to the nearest ten-thousandth?
0.9325
O 1.4663
O 0.5314
O 0.7986
Answer:
Fourth option
Step-by-step explanation:
You can use a scientific calculator
A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The position of the emitter is [tex]E = + 72.9 \ cm\ from\ the\ center [/tex]
The position of the stone is [tex]S = - 72.9 \ cm\ from\ the\ center [/tex]
Step-by-step explanation:
From the question we are told that
The length is l = 178 cm
The width is w = 102 cm
Generally the position of the stone along the horizontal axis is mathematically evaluated as
[tex]h = \frac{178}{2}[/tex]
=> [tex]h = 89 \ cm [/tex]
Generally the position of the emitter along the vertical axis is mathematically evaluated as
[tex]k = \frac{102}{2}[/tex]
=> [tex]k = 51 \ cm [/tex]
Generally the resultant position of both stone and the emitter is
[tex]R = \pm \sqrt{h^ 2 - k^2}[/tex]
=> [tex]R = \pm \sqrt{89^ 2 - 51^2}[/tex]
=> [tex]R = \pm 72.9 \ cm [/tex]
Hence the position of the emitter is [tex]E = + 72.9 \ cm[/tex]
the position of the stone is [tex]S = - 72.9 \ cm[/tex]
Simplify 72+3w2 - 29w-61w2 + 23w - 42.