The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of wheat acres and y represent the number of corn acres, hence:
150x + 350 y ≤ 250000 (1)
Also:
x + y < 1200 (2)
The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
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I need 3 1/2 cups of flour to make a birthday cake I only have 1 1/3 cups. How much flour do I still need?
Answer:
2 1/6 cups of flour
Step-by-step explanation:
1. 3 1/2 - 1 1/3
2. = 3 3/6 - 1 2/6
3. = 2 1/6
1. Find the slope of a line
that passes through (3,-2)
and (7,5)
Answer:
m= [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}[/tex]
First, define what equation needs to be used. We need to use the slope formula to find the answer.
Next, we substitute the x and y values into their respective places.
Last, simplify the equation!
What is the volume of a sphere with a radius of 6.9 ft, rounded to the nearest tenth of a cubic foot?
Answer:
1376.1 ft^3
Step-by-step explanation:
The volume of a sphere formula: V=4/3πr^3
r = 6.9 ft
V = 4/3 * π * (6.9^3) = 1,376.055
to the nearest tenth it's 1376.1 ft^3
Evaluate −x^2+4x+1 when x=−2.
Hey there!
In order to evaluate this expression, we need to plug in the value of x (-2)
So we have
-x²+4x+1
plug in -2
-(-2)²+4(-2)+1
-4-8+1
-12+1
-11
Hence, the answer's
[tex]\boxed{\boxed{\bold{-11}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
samundra deposits rs 850 at NBL at the half yearly rate of 8% for 1 year. how much interest will he get?
Total interest:-
8% of deposit8% of 8500.08(850)Rs68Can anyone help me with this puzzle equation please
Scott earns $16. 85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471. 80 b. $943. 60 c. $1,415. 40 d. $1,887. 20.
The gross monthly income for 4 weeks is $1,887.20
We have given that Scott earns $16. 85 per hour at his job.He works 7 hours per day then,
What is the computation of the gross monthly income for 4 weeks?Gross income= Earning per hour × number of hours works per day × number of days works per week × number of weeks
Gross income= $16.85 × 7 × 4 × 4
Gross income= $1,887.20
Therefore, the gross monthly income for 4 weeks is $1,887.20.
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Each regular polygon has radii and apothem as shown. Find the measure of
each numbered angle.
Answer:
How can i unsubscribe brainly?
Answer:
Step-by-step explanation:
m∠1 = 360° ÷ 8 = 45°
m∠2 = 45° ÷ 2 = 22.5°
m∠3 = ( 180° - 45° ) ÷ 2 = 67.5°
Maryam had to sail 4 2⁄3 miles to reach her destination. At the end of the day, she had sailed 3 1⁄3 miles. How far was she from her destination?
1 1⁄3
Step-by-step explanation:
In order to find how far was she from her destination
We substract 4 2⁄3 from 3 1⁄3
=> 4 2⁄3 - 3 1⁄3
=> 1 1⁄3 (Decimal: 1.333333)
Answer:
1 1/3 miles
Step-by-step explanation:
2-1
4 2/3-3 1/3= 1-----------
3
=1 1/3miles
What is the distance between (-2, 4) and (5, 4) on a coordinate grid?
Answer:
7 units
Step-by-step explanation:
(Background info, skip if not interested or needed for you)
The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
a and b being sides of a right triangle, c being the hypotenuse.
When we are solving for distance we are solving for c essentially.
[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]
Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.
(solutions)
So essentially distance is:
[tex]d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }[/tex]
Now we just use the values given to us, and sub in the x and y values respectively.
(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]
(5,4)[tex]x_2 = 5, y_2 = 4[/tex]
plug these values in:
[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]
Therefore the distance is 7 units.
help... Reference books are for use in the library. There are 16 bookshelves for the reference books. After use, they need to be returned to a special collection box for shelving. If 128 reference books are in use and 84 reference books are in the collection box, how many reference books are on the shelf?
Answer:
Your answer would be:
13.25
128 books in use + 84 books in the collection box =212 reference books on the shelf
212 books / 16 shelves =13.25 per shelf
Logically the answer 13.25 wouldn't make sense because you can't put a 25th of a book on a shelf, so that means you will need to put the "0.25 book" away. Technically your answer would be 13. Due to the question, however, it would be 13.25.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
What is the missing numerator?
A: 1
B: 2
C: 3
D: 4
Answer:
C. 3
is the answer :)
hopefully this helps
Answer:
D: 4
Step-by-step explanation:
1) Make the 1/4 into 5/20 by multiplying top and bottom by 5/5
x/5 - 5/20 = 11/20
2) Move the 5/20 to the other side
x/5 = 11/20 + 5/20
3) Add the 2 fractions on the right
x/5 = 16/20
4) Make the fraction on the right have a denominator of 5 by dividing top and bottom by 4/4
x/5 = 4/5
5) Multiply both sides by 5
x = 4
The missing numerator is 4.
A floor plan of the living room is shown below. If the carpet he chooses costs $27.50 per yard square, how much will the new carpet cost
Answer:
there is no picture,you need to add a pic
- The four-digit number 1210 has an interesting property.
The first digit, 1, counts how many zeros are in the number.
The second digit, 2, counts how many ones are in the number.
The third digit, 1, counts how many twos are in the number.
The fourth digit, 0, counts how many threes are in the number.
Another number with this property is 2020 (2 zeros, 2 twos, no ones or threes.) Now,
make a 7 digit number ABCDEFG so that its first digit, A, counts the number of zeros
in the number, the second digit, B, counts the number of ones, and so on down to G,
which counts the number of sixes in the number
Answer:
ABCDEFG = 3211000
Step-by-step explanation:
A counts the number of zeroes, and there are 3 zeroes (E, F, G), so A = 3.B counts the number of ones, and there are 2 ones (C, D), so B = 2.C counts the number of twos, and there is 1 two (B), so C = 1.D counts the number of threes, and there is 1 three (A), so D = 1.There is no four, five, six in, so E, F, G are all zeroes.
Question 7: David wants to fill his water bottle. The cylindrical bottle has a radius of 4.5 in and a height of 9.10 in. How much water will he need if 3 ounces of water is equivalent to 2 cubic inches?
1st question
volume of the bottle in inches ?
cylinder volume = area x height
= pi x r² x h
= 3,14 x 4,5² x 9,10
the bottle volume is 578,62 in³
then
3 ounces of water...........2 in³
? ounces of water..........578,62 in³
? = 3 x 578,62 : 2
? ≈ 868 ounces of water
An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. The statistician plans to test the hypotheses, H0: μ = 76.4 versus Ha: μ > 76.4, where μ = the true mean height of all trucks. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: Yes, all conditions for inference are met.
An employee receives a 2% raise once per year. If the employee's initial salary is $69,400.00, what will the employee's salary be after 17 years?
Please put in answers with no commas and round to 2 decimal places.
Step-by-step explanation:
first fine 2% of the initial salary since he is paid that every year
2/100×69400=2×694=1388
so for 17 years = 1388×17
=23596
Hello, could you please help me with my homework?
Question:-
[tex]\pmb{(x+8)^5}[/tex]
Use the Binomial Theorem.
Kindly do not lose your precious time by spamming; instead, please provide a high-quality answer.
I need help A.S.A.P.; this is due today.
Answer:
[tex]{x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 [/tex]
Step-by-step explanation:
This too follows the as same process as
https://brainly.com/question/27201053recall binomial theorem,
[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]
Given binomial:
(x+8)⁵comparing it to (a+b)ⁿ , we acquire:
[tex]a \implies x[/tex][tex]b\implies 8[/tex][tex]n\implies 5[/tex]Now substitute:
[tex] \displaystyle (x +8 {)}^{5} = \sum _{k = 0} ^{5} \binom{n}{k} {a}^{5- k} {b}^{k} [/tex]
To convert the summation into a sum, substitute the values from k=0 to k=5 into the expression which yields
[tex] \displaystyle (x + 8{)}^{5} = \binom{5}{0} {x}^{5 - 0} \cdot {8}^{0} + \binom{5}{1} {x}^{5 - 1} \cdot {8}^{1} + \binom{5}{2} {x}^{5 - 2} \cdot {8}^{2} + \binom{5}{3} {x}^{5 - 3} \cdot {8}^{3} + \binom{5}{4} {x}^{5- 4} \cdot {8}^{4} + \binom{5}{5} {x}^{5 - 5} \cdot {8}^{5} \\ \implies(x + 8 {)}^{5} = \binom{5}{0} {x}^{5} \cdot 1 + \binom{5}{1} {x}^{4} \cdot {8} + \binom{5}{2} {x}^{3} \cdot 64+ \binom{5}{3} {x}^{2} \cdot 512 + \binom{6}{4} {x}^{1} \cdot 4096+ \binom{5}{5} {x}^{0} \cdot 32768\\ \implies(x + 8{)}^{5} = 1 \cdot {x}^{5 } \cdot 1 + 5\cdot{x}^{4} \cdot {8} + 10 \cdot {x}^{3} \cdot 64+ 10 \cdot {x}^{2} \cdot 512 + 5 \cdot{x}^{1} \cdot 4096+ 1 \cdot {x}^{0} \cdot 32768 \\ \implies \boxed{ (x + 8 {)}^{5} = {x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 }[/tex]
and we're done!
Deanna is planning to use 1.5ft by 2ft tiles to finish her kitchen floor. If her floor is 8ft by 10ft, how many tiles will she need?
If two coins are flipped, what is the probability both of the coins will land on tails?
help with q7 please !!
Step-by-step explanation:
[tex] \frac{dA}{dx} = 3 {(x - 1)}^{2} \\A = ∫3 {(x - 1)}^{2}dx \\ = ∫3 {x}^{2} - 6x + 3 \: dx \\ = \frac{3 {x}^{3} }{3} - \frac{6 {x}^{2} }{2} + 3x + c \\ = {x}^{3} - 3 {x}^{2} + 3 + c[/tex]
Now substitute in A=10 and X=3, to find the value of c
[tex]10 = {3}^{3} - 3 {(3)}^{2} + 3(3) + c \\ c = 1[/tex]
Hence,
[tex]A = {x}^{3} - 3 {x}^{2} + 3x + 1[/tex]
Samir and Ayisha are on one side of a river. Katia is on the other side. The distance between Samir and
Katia is 82 ft. The distance between Ayisha and Katia is 80 ft. If the angle from Samir to Katia to Ayisha is 18°, how far apart are Samir and Ayisha?
The distance between Samir and Ayisha is 2 ft.
Samir and Ayisha are on one side of a river. Since they are on the same side, they may likely be close to each other.
Katia is on the other side of the river. It is likely Katia is far from Samir and Ayisha.
The distance between Samir and Katia is 82 ft. Therefore, the distance between Ayisha and Katia is 80 ft.
How to find distance between between Samir and AyishaThe distance between Samir and Ayisha = 82 ft - 80 ft
The distance between Samir and Ayisha = 2 ft
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2/5n+ 3/6+ 1/8n
what does it equal
Answer:
[tex]\frac{21}{40}n[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The important part to understand about this problem is that you need to find a common denominator. You can ONLY add two fractions if they have the same denominator. A way to change the denominator of a fraction is to multiply the numerator and denominator of the fraction by the same number.
So, You want to make the 2/5n and 1/8n to have the same denominator so you can add them. An easy rule of thumb is multiply the one of the fraction by the other fraction's denominator, so in this problem:
[tex]\frac{2 * 8}{5*8} n[/tex] and [tex]\frac{1*5}{8*5}n[/tex]
this comes out as
16/40n and 5/40n
NOW, they have the same denominator and you can add the numerators together to make it one happy fraction
[tex]\frac{16}{40} + \frac{5}{40} = \frac{16+5}{40} = \frac{21}{40}[/tex]
Then, for the 3/6, you can simplify this fraction into:
1/2
This is because if you divide the top and bottom of the fraction by 3 like so:
[tex]\frac{3/3}{6/3}[/tex] (Always make sure you do the same for the top as you do to the bottom)
This comes out as
[tex]\frac{1}{2}[/tex]
Then for the full equation:
[tex]\frac{21}{40} n + \frac{1}{2}[/tex]
What is the area of the trapezoid?
Enter your answer in the box.
378 inches squared
its (18x15)+(6x18)
Find the value of x? thank you
Answer:
68
Step-by-step explanation:
A 5 sided shape total angles are equal to 540°
150 + 102 + 84 + x + 2x = 540
3x = 540 - 336
3x = 204
x = 68
1. Find the length of the arc shown in red:
2. Find the area of the circle:
Answer:
Step-by-step explanation:
The circumference of a circle is 7.22cm and pi is 3.14, what is the diameter?
Answer:
2.30 cm
Step-by-step explanation:
Circumference of circle= πD, where D is the diameter.
Substitute all the given information into the formula:
7.22= 3.14D
Divide both sides by 3.14:
D= 7.22 ÷3.14
D= 2.30 (3 s.f.)
Thus, the diameter is 2.30 cm. (rounded off to 3 significant figures)
8) 120 balloons are filled with gas at the rate of 0.6 gallons per minute. How much time it takes to fill all balloons if the volume of one balloon is 1.2 gallons?
Answer:
240 Minutes
Step-by-step explanation:
0.6 per minute × 2 = 1.2 gallons .
120 balloons × 2 mins= 240 mins
how to divide 1080 by 9
Answer:
1080÷9=120
hope it helps!
Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount of $2,154 for 30 years from an account paying 5. 1% compounded monthly. Round your answer to the nearest cent. A. $396,721. 78 b. $398,407. 85 c. $775,440 d. $1,833,962. 40 Please select the best answer from the choices provided A B C D.
Answer:
b i took this exam 90% sure its B
Step-by-step explanation:
B
B
B
second 1