Answer:
70 < x < 105 and 0 < y ≤ 60
Step-by-step explanation:
The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given:
The Range of temperature is between 70 and 105 degrees.
So, x lies between these two temperatures so x must be greater than 70 degrees but less than 105 degrees.
Therefore, x > 70and x < 105.
On combining these two inequalities we get,
70 < x < 105
Now, number of people that can come for the trip is 60.
y represents the number of people for the trip. So, y can be at most 60.
Or, y ≤ 60 must be less than or equal to 60 and is given as:
Hence, the constraints are:
70 < x < 105 and 0 < y ≤ 60
The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.
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The population of Garden City in 1995 was 2,400. In 200, the population was 4,000. Write a linear equation in slope-intercept form that represents this data.
Answer:
[tex]y = 320x +2080[/tex]
Step-by-step explanation:
Given
Population in 1995 = 2400
Population in 2000 = 4000
Required
Determine the linear equation
Let the years be represented with x.
In 1995, x = 1 i.e. the first year
In 2000, x = 6
Let y represents the population
When x = 1; y = 2400
When x = 6; y = 4000
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4000 - 2400}{6 - 1}[/tex]
[tex]m = \frac{1600}{5}[/tex]
[tex]m = 320[/tex]
Next, we calculate the line equation as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2400 = 320(x - 1)[/tex]
[tex]y - 2400 = 320x - 320[/tex]
[tex]y = 320x - 320 + 2400[/tex]
[tex]y = 320x +2080[/tex]
A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses
Answer:
13.87
Step-by-step explanation:
What is the value of x in the equation 2x – 9= x?
Answer:
x = 9
Step-by-step explanation:
2x - 9 = x
2x - x = 9
x = 9
Answer:
The correct answer is 9.
Step-by-step explanation:
2x – 9= x <----- Here is the original problem.
2(9) – 9 = 9 <----- Replace the variables.
18 - 9 = 9 <----- Simplify the multiplication.
9 = 9 <----- This is a true statement.
Therefore, the correct answer is 9.
Hope this helps! :D
Need help with this one will mark brainliest
Answer:
(1,-1)
Step-by-step explanation:
pls don't forget to mark brainliest, thanks! message me for any more questions :)
Write the linear equation in slope-intercept form, 3x − y = 7
Please help I need the answer
Answer:
Please check the attached graph.
The point of intersection will be: (x, y) = (15, -2)The solution will be:
(x, y) = (15, -2)Hence, option (B) is correct.
Step-by-step explanation:
Please note that the point of intersection is the solution of the two lines on a coordinate plane.Given the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]
Please check the attached graph,
The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]From the attached graph, it is clear that both the lines meet at the point (15, -2).
In other words,
at x = 15, y = -2
Thus, the point of intersection will be: (x, y) = (15, -2)
We already know that the point of intersection is the solution of the two lines on a coordinate plane.
Therefore, the solution will be:
(x, y) = (15, -2)
Hence, option (B) is correct.
do you know the answer
Answer:
The answer is 15.
Other:
Brainliest? Thanks!
Which product is positive?
Answer:
we need to see the product to be able to help you!
if anybody can answer this quickly; please do!
Answer:
The answer is D
Step-by-step explanation:
I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.
4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?
Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.
Balanced equation: 1N2 (g) + 3H2(g) 2NH3(g)
Molar mass of H2 = g/mol
100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3
Molar Mass of N2 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3
A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product
B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product
C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3
Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have
100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂
Hydrogen (H) has a molar mass of about 1.008 g/mol, so
100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂
In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have
3.570 • 3 ≈ 10.71
so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.
(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.
(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.
(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or
7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃
Please help me answer this :) and explain how you got your answer ! ( will give brainslt )
Answer:
Graph B (bottom left)
Step-by-step explanation:
Let's eliminate answers by reading the prompt:
Jaelene drains some of the water from a pool at a constant rate.
These are two big clues. Since Jaelene drains water, she is losing water, and at a constant rate. Therefore, we can eliminate A and C because you would be gaining water in the pool and not draining.
She stops draining water to fix the hose and then fills the pool up with water again.
Also important clues. If you stop draining water, the water level does not change. Also, since the pool is filling up, that means we are gaining water. Therefore, we can eliminate option D because that would mean we're still draining water but we're not in this case.
Therefore, the only correct answer is graph B (bottom left)
q = d / d+ n on a manufacturer's assembly line, d parts are found to be defective and n parts are nondefective. the formula above is used to calculate a quality-of-parts ratio. What is d expressed in terms of the other two variables?
a. n / 1 - q
b. nq / 1 - q
c. n / q-1
d. nq / q-1
Answer:
d. nq / q - 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
FactoringStep-by-step explanation:
Step 1: Define
q = d / (d + n)
Step 2: Solve for d
Multiply (d + n) on both sides: q(d + n) = dDistribute q: dq + qn = dSubtract qn on both sides: dq = d - qnSubtract d on both sides: dq - d = -qnFactor GCF: d(q - 1) = -qnDivide (q - 1) on both sides: d = -qn / (q - 1)Rearrange: d = nq / -(q - 1)Distribute -1: d = nq / 1 - qFind sin(theta) , if cos(theta)=(4/9) and tan(theta) < 0
Recall that
cos²(x) + sin²(x) = 1
for all x, so that
sin(x) = ± √(1 - cos²(x))
Given that cos(θ) = 4/9 > 0, and
tan(θ) = sin(θ) / cos(θ) < 0
it follows that sin(θ) < 0, so
sin(θ) = - √(1 - cos²(θ)) = - √(1 - (4/9)²) = - √(65)/9
The value of sinθ is √(65)/9.
What is a sine function?The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.
Since cos(theta) = 4/9 and tan(theta) < 0, we know that theta is in the second quadrant of the unit circle, where cosine is positive and sine is positive.
We can use the Pythagorean identity to find sin(theta):
sin²(theta) + cos²(theta) = 1
Substituting in the given value of cos(theta), we get:
sin²(theta) + (4/9)² = 1
sin²(theta) + 16/81 = 1
sin²(theta) = 1 - 16/81
sin²(theta) = 65/81
Taking the square root of both sides, we get:
sin(theta) = ± sqrt(65)/9
Since theta is in the second quadrant where sine is positive, we can take the positive root:
sin(theta) = sqrt(65)/9
Therefore, sin(theta) = sqrt(65)/9.
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When Margie visited the beach at Key West, she collected 50 seashells. She had 15
smooth shells and 35 shells with ridges. What percent of her shells had ridges?
35
30
70
65
Answer:
70
Step-by-step explanation:
Please answer this question
A) the initial population is 30, which is given in the equation.
B) replace t with the number of years and solve:
5 years = 60
10 years = 120
15 years = 241
C) the population is doubling every 5 years
The sum of two numbers is 123 and the difference of the two numbers is 47. What are the two numbers?
The box-and-whisker plot shows the number of books read by history students
during the last school year.
+
2.
3
4.
5
6
7
8
g
9
10
11
12
13
14
15
16
What is the range of the data?
Answer:
43
Step-by-step explanation:
The range of the data is 14.
What is a boxplot?A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).
Given that,
The box-and-whisker plot shows the number of books read by history students during the last school year.
The box extends from 4 to 15 on the number line.
There is a vertical line at 8, median = 8.
The whiskers end at 4 and 15,
So, minimum of data = 4 and maximum of data = 15.
∵ Range = maximum of data - minimum of data
Range = 15 - 4
Range = 11
Hence, the range of the data is 14.
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Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
5+7t
Step-by-step explanation:
3t and 4t add together bc they are like terms
Answer:
9+2t
Step-by-step explanation:
5+4=9
3t-t=2t
whats 1 plus 1 I WILL GIVE BRAINLEST
Answer:2
Step-by-step explanation:
NEED HELP NOW DIS IS DUE TODAY, answer plws :) LOOK AT DE PHOTO
Find the area of the composite figure.
A) 96.75 units2
B) 112.5 units2
C) 139.5 units2
D) 192 units2
Answer:
a.
Step-by-step explanation:
The area for this is
A= 7x9/2+3x9+9x6
= 31.5+27+54
= 112.5
Find sin θ Right Triangle Trigonometry
Answer:
15/17
Step-by-step explanation:
15^2+8^2=c^2
c=hypotenuse. Sin is opposite side/hypotenuse
Answer:
B
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite side and the agacent side
Therefore we use TOA
tan(x)= 15/8
tan^-1(15/8)= 61.93
sin(61.93)= 15/17
Hope this Helped :)
Find the equation of the line that passes through the points:
(-2, 4) and (1, 10)
Step-by-step explanation:
y=mx+ C
to find m (slope )
m= 10 _ 4 / 1- ( -2 )
m = 6 / 3 = 2
( I,10 ) Satisfy eq.
10 =2 x I + C
C= 5
. so, equation of Line is \
y= 2x +5
what is the answer to 3 5/12 + 1 3/8? another question since i don’t have many points lol. what is 2 9/10 - 1 7/18? these are mixed numbers btw. please answer and thank you!
Answer:
For the first one:
416/96
For the second one:
270/180
Step-by-step explanation:
what number represents 125.638 rounded to the nearest hundreth
Answer:
The answer is [tex]125.64[/tex]
Step-by-step explanation:
hope this helps :)
what is 2 +2 pls in in kider grden pls hepl
Answer:
4
Step-by-step explanation:
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Here is a very high quality picture
Answer:
4
Step-by-step explanation: If you had 2 crayons and your friend had 2 crayons and you added them together it would equal 4!
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Given that,
The interest of sum of money is 6 yrs in 3/8 of the principal.
To find,
The rate of interest.
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
a principle orders t-shirts and wants to check some of them to make sure they were printed properly. she opens the closet 2 of the 10 boxes of shirts and checks every shirt in those 2 boxes. what type of sampling is this?
Answer:
Cluster random sampling
Step-by-step explanation:
a veternarian treated 7 dogs 13 cats 4 horses and three ferrert what was the percentage of his paitents were small animals
Answer:
As per your defention, horses are the only thing considered "not small". To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.
So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals
7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.
So,
23/27 * 100
The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.
So by doing the calculation we get
85.18%
Step-by-step explanation:
Lydia receives a $2,000 gift and wants to open a savings account. Which bank interest would be the best for her if the current inflation rate is 3.5%?
Answer:
the best interest rate would be a minimum of 3.5% annual interest
Step-by-step explanation:
An inflation rate of 3.5% would mean that the buying power of Lydia's money would decrease by 3.5% every single year. Therefore, the best interest rate would be a minimum of 3.5% annual interest. That way she would at least maintain the same buying power with her money as the day that she first placed it in the account. Any interest rate higher than 3.5% would be even better as Lydia will begin to make a profit from her savings.
A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation
Answer:
Concept: Engineering Statistics
To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.