200S+500W≤$100,000 inequality to describe the constraints and (200, 100) is one solution to the inequality.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Given,
A farmer is creating a budget for planting soybeans and wheat.
Planting soybeans costs $200 per acre and planting wheat costs $500 per acre.
Let S be the acre of land to plant soyabean and W be the acre of land to plant wheat.
200S+500W≤$100,000
This is the required inequality.
(200,100) is the solution of inequality.
Hence 200S+500W≤$100,000 inequality to describe the constraints and (200, 100) is one solution to the inequality.
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Simplify these expressions a) 5 x x b) 6 xxxy c) 2 x x x 3 xy
The simplified forms of the expressions are;
a.5x²
b.6x³y
c.6x⁴y
What are index forms?Index forms are described as mathematical forms that makes numbers or values in too small or too large forms appear in a more convenient manner.
Other names for index forms are standard forms and scientific notation.
These index forms are formed by taking the exponents of numbers or variables inside of their usually repetitive forms in an expression.
From the information given, we have that;
a. 5 x x
Since the variable appeared twice, it is represented as;
5x²
b. 6 xxxy
One variable appeared three times
6x³y
C. 2 x x x 3 xy
Multiply the numbers as well as the variables
6x⁴y
Hence, the expressions are simplified to index forms
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Answer:
1 dollar
Step-by-step explanation:
If she started with 1 and add 43 she now has 44. Once you add the 22 you get 66 which is what she has now.
"Find the measures of two supplementary angles if their measures are 3:7
Since the ratio is 3:7 we can assume that the angles are equal to 3x and 7x?"
3x+7x=180° (180° since a line is equal to that)
then solve
10x=180
x=18
then substitute x=18 in 3x and 7x
3x=54°. 4x=126°
126° and 54°
Let the two angles be 3x and 7x.
Supplementary angles add up to 180 degrees.
Therefore:
3x + 7x = 180
10x = 180
x = 18
3x = 3 * 18 = 54
7x = 7 * 18 = 126
Answer:
The two angles are 54 degrees and 126 degrees.
Please help i need help
Answer:
10x^3+16
Step-by-step explanation:
f(g(x)) means that for that for "x" number of tickets, he is making that amount.
Hope this helps
Sasha goes on a cave tour with her family. She spots a mysterious crystal that is shaped like a cube. The crystal has edge lengths of 5 centimeters. What is the volume of the crystal?
Answer:
Sasha
Step-by-step explanation:
Sasha should figure out what the volume of the crystal is by herself.
Find the equation for the vertical line that goes through point M(−2, 6).
Answer:
Step-by-step explanation:
Every possible value of y will have an x value of x = - 2 associated with it. For example (-2, 58) is also on this vertical line. A line with more than 1 y value associated with x means the line you get is not a function.
The equation you want is x = - 2
Jared is behind on his math homework. He has 12 lessons of math to do before Monday. He
can answer two math problems each minute. If a typical lesson has 25 problems, how much
time should he expect to spend doing his math? Show all work and show your answer in
hour and minutog
Step-by-step explanation:
the numbers of the problems =
12 × 25 = 300
each minute he can answer 2 problems
therefore, the time that he expect to finish the problems =
300/2 × 1 minute = 150 minutes
= 2 hours and 30 minutes
2 questions he can solve 1 min
per question he need 1/2min or 0.5min
Now
Total problems
25(12)300Total time
300(0.5)150min2h 30minThere are 206 people who have signed up for cooking lessons. If there will be 8 people in each class, what is the least number of classes needed for all the students to be registered in a class
Answer:
26
Step-by-step explanation:
206÷ 8= 25.75 (remainder was 6)
that means 25 classes will be needed but since the are 6 students remaining 1 more class can be added makes 26 classes
The digits in 5512 are rearranged to form all possible 4-digit positive integers. Find the last three digits of the sum of all such positive integers.
Answer:
329Step-by-step explanation:
There are possible:
4*4 = 16 4-digit numbers and since 5 is repeated, the number becomes:4*3 = 12The numbers are:
125515251552215525152551512551525215525155125521The sum is:
43329The last 3 digits of the sum is 329
help this is hard for me, please..I give brainliest
also this is 20 points
Answer:
-14 Mexican pesos means you have a debt of $0.67 at today's exchange rates.
Step-by-step explanation:
write the equation of the ellipse using the given information: the ellipse has foci (0,3) and (0,-3) and major vertices (0,5) and (0,-5).
Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
Is it equal greater or less983.9 9.839
Answer:
what is the question ❓ i don't understand
1. What is the difference between these two expressions
(5+3)*3
(5+3)*9
Answer:
The difference is one number is larger than the other.
Step-by-step explanation:
we are doing BOMDAS
so (5+3)*3
we start with the bracket first since we are dealing with BOMDAS
(5+3)*3 = 8*3
then we multiply the 8*3 which equals to 24
(5+3)*9
we start with the bracket first (5+3) equals to 8 and then we multiply the 8 by the 9 and the answer is 72
(5+3)*9
(5+3)= 8*9
= 72
between 24 and 72 the difference is 72 is larger
According to national data, about 15% of American college students earn a graduate degree. Using this estimate, what is the probability that exactly 27 undergraduates in a random sample of 200 students will earn a college degree? Hint: Use the normal approximation to the binomial distribution, where p = 0.15 and q = 0.85. (Round your answer to four decimal places.)
Using the binomial probability relation, the probability that exactly 27 graduates earn a college degree is 0.069
Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
Probability of success, p = 0.15q = 1 - p = 1 - 0.15 = 0.85Number of trials, n = 200X = 27Probability of exactly 27 graduates can be defined thus :
P(x = 27) = 200C27 × 0.15^27 × 0.85^173
P(x = 27) = 0.0686264
Therefore, the probability of selecting exactly 27 graduates is 0.069
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Find the value of X please and thank you :)
Answer:
143 degrees
Step-by-step explanation:
The shape is a hexagon therefore the total angle will be 720 degrees.
The sum of the total angle of the shape is 434 degrees
So to get the answer the equation is:
434 + x + x = 720 degrees
So x = 143 degrees.
Whats x for both of these equations
Answer:
x = (-1)y = 3Step-by-step explanation:
y = -2x + 1
y = x + 4
2x + y = 1 _______(1)
-x + y = 4_______(2)
[tex] - x + y - (2x + y) = 4 - 1 \\ - x + y - 2x - y = 3 \\ - 3x = 3 \\ x = \frac{3}{ - 3} \\ x = - (1) \\ [/tex]
x = (-1),
[tex]2x + y = 1 \\ 2( - 1) + y = 1 \\ - 2 + y = 1 \\ y = 1 + 2 \\ y = 3 \\ [/tex]
Alice got these scores in her exam English 45 out of 50. music 45%. art 25 out of 40. maths 85% which subject did Alice get her highest and lowest scores in .
Answer:
English: 45/50 = 0.9 = 90%
Music: 45%
Art: 25/40 = 0.625 = about 63% (if you round up)
Math: 85%
As you can see: English - highest | Music - lowest
Alice got her highest score in Maths, and her lowest score in Music.
To find out which subject Alice got her highest and lowest scores in, let's compare the scores in each subject.
English: 45 out of 50 = 45/50 = 0.9 (90%)
Music: 45 % = 45/100 = 0.45
Art: 25 out of 40 = 25/40 = 0.625 (62.5%)
Maths: 85 % = 85/100 = 0.85
Now, we can see that the highest score is in Maths (85%) and the lowest score is in Music (45%).
So, Alice got her highest score in Maths, and her lowest score in Music.
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What is the solution set of {x | x < -3} ∩ {x | x > 5}?
A. the empty set
B. all numbers except -3 and 5
C. all real numbers
D. the numbers between -3 and 5
2.
What is the solution set of {x | x < 2}U{x | x ≥ 2}?
A. all numbers less than -2 and greater than 2
B. all real numbers
C. the empty set
D. the numbers between -2 and 2
3.
Which of the following describes the graph of {x | 1 < x < 2}?
A. open circles on 1 and 2, line segment between
B. open circles on 1 and 2
C. open circles on 1 and 2, arrows pointing out
D. no solution
Answer:
1) A, 2) B, 3)AStep-by-step explanation:
#1
Intersection of the two given sets is the empty set as the sets cover two different intervals without common elements.
Correct choice is A
#2
Assume there is a union sign between sets.
The union of the two sets is both of them.
Correct choice is B
#3
Both the points are excluded, so both ends are open circles and the graph covers the interval between them.
Correct choice is A
Your answers would be:
1.) A
2.) B
3.) A
The cost of 12 pounds of apples costs $35.50. What is equation for the cost in dollars, d, for the cost of a pound, p of apples
Answer:
12p = 35.50d
Step-by-step explanation:
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Solve for x: 3- (2x-5)<-4(x+2)
Answer:
x < -8 orx ∈ ( - ∞, - 8)Step-by-step explanation:
3 - (2x - 5) < - 4(x + 2)3 - 2x + 5 < -4x - 84x - 2x < - 8 - 82x < - 16x < - 8or
x ∈ ( - ∞, - 8)[tex]\\ \sf\longmapsto 3-(2x-5)<-4(x+2)[/tex]
[tex]\\ \sf\longmapsto 3-2x+5<-4x-8[/tex]
[tex]\\ \sf\longmapsto -2x+8<-4x-8[/tex]
[tex]\\ \sf\longmapsto 2x-8<4x+8[/tex]
[tex]\\ \sf\longmapsto 2x-4x<8+8[/tex]
[tex]\\ \sf\longmapsto -2x<16[/tex]
[tex]\\ \sf\longmapsto 2x<16[/tex]
[tex]\\ \sf\longmapsto x<-8[/tex]
Michael bought 8 new Pokemon cards to add to his collection.
The next day his dog ate half of his collection. There are now only
40 cards left. How many cards did Michael start with?
Answer:
72
Step-by-step explanation:
I like to work backward with problems like these. I'll start out with 40. Then it says that his dog ate half of this number. Instead of dividing by 2, I'll have to multiply by two since I'm working backward.
So, now I have 80, the number of cards he had before his dog ate half of the collection. We also see that he bought 8 new Pokemon cards and added these two his collection. Instead of adding 8, I'll subtract 8 from 80, giving me 72. So, this is his original amount.
If I take this number and go back through the scenario, I can check my work.
72 + 8 = 80, 80/2 = 40
Isn't 3 1/2 instead of three and Caleb wrote 1/4 of the song?
Answer:
Need a bit more context
Step-by-step explanation:
Samuel runs around a 100-meter track. He uses the linear equation y= 200 + 5x to describe how far he runs after he has already Jogged two laps. Which of the following best describes the slope of the linear equation?
Answer:
Samuel runs 5 meters per second
Step-by-step explanation:
-79=7w+3(4w-1) help quick with steps
Answer:
-4=w
Step-by-step explanation:
-79=7w+12w-3
-79=19w-3
-79+3=19w-3+3
-76=19w
-76÷19=19w÷19
-4=w
Answer:
w = -4.
Step-by-step explanation:
-79 = 7w + 3(4w - 1)
7w + 12w - 3 = -79
19w = -76
w = -4.
Find the product. 43x8= ( 40=3) x 8
Answer:
=344
Step-by-step explanation:
(43)(8)
=344
Can you guys show me where they went wrongg
9514 1404 393
Answer:
43.70 ft
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides. The correct computation is ...
Hypotenuse is √(7² +7²) = √(49 +49) = √98 = 7√2
Perimeter of pentagon is ...
7 +7√2 +7√2 +7√2 +7 =
7 +21√2 +7 =
14 +21√2 ≈ 14 +29.70 =
Perimeter is approximately 43.70 ft.
__
There are two errors:
side lengths were used instead of their squares to find the hypotenusecontents of radicals were added, rather than coefficients of themBoth errors are easy to find if you know what the computation is supposed to look like.
The Pythagorean theorem involves a sum of squares.
21 less than tree-fifths of a number
Answer:
[tex]\frac{3}{5}x - 21[/tex]
Step-by-step explanation
Three-fifths of a number means [tex]\frac{3}{5}x[/tex] and 21 less than that number means [tex]\frac{3}{5} x - 21[/tex].
What is the perimeter of a square with 4 inch sides
Answer:
16 units
Step-by-step explanation:
We know a square is 4 sides, and perimeter is the sum of all sides.
4 + 4 + 4 + 4 = 16 units
we can do this in a more efficient way with:
4 x 4 =16 units
8. A submarine's elevation is -14.5 feet relative to sea level. A shark is
swimming at an elevation -56.8 feet. What is the difference in elevation
between the submarine and the shark?
a) 71.3 feet b) 56.8 feet c) 42.3 feet d) 14.5 feet
Answer:
C.)42.3
Step-by-step explanation:
If it's difficult to do subtraction with negatives, switch them to positive and subtract 14.5 from 56.8. In order to get a lesser negative number(negatives closer to -1 are greater), you have to add a positive number. My math teacher taught me this simple but effective method. This method is used for multiplication and division but it helps:
(Hate=Negative and Love=Positive)
If you hate to hate, you love.(neg. x neg=pos.)
If you hate to love, you hate(neg. x pos.=neg.)
If you love to love, you love(pos. x pos.=pos.)
If you love to hate, you hate(pos. x neg.=neg.)
c) 42.3 feet
Step-by-step explanation:
Is known :
A submarine's elevation is -14.5 feet relative to sea level. A shark isswimming at an elevation -56.8 feet.Asked :
What is the difference in elevation between the submarine and the shark?.Aswered :
A submarine's elevation is -14.5 feet relative to sea level - A shark isswimming at an elevation -56.8 feet
= (-14,5) - (-56,8)
= 42,3
Adam volunteers once a month to make meals for the elderly. He has 81 pieces of chicken, 27 pieces of corn, and 54 rolls.
Each plate must have exactly the same number of pieces of each food item and all the food must be used.
What is the greatest number of plates he can make?
Answer:
27 plates
Step-by-step explanation:
81 ÷3=27 chicken pieces
27 pieces of corn (one piece of corn per plate)
54÷2=27 two pieces of bread per plate