The inequality which is used to find the number of minutes taken by the solution to begin caramelising is 310 < 250 + 5x <338. The correct answer is option A.
The complete question is given below:-
A sugar solution currently measures 250 degrees Fahrenheit. The temperature of the solution increases 5 degrees per minute. The sugar solution will caramelize at temperatures greater than 310 and less than 338 degrees Fahrenheit. Which inequality can be used to find x, the number of minutes it will take for the solution to begin caramelizing? 310 < 250 + 5x < 338 310 < 250 + 5x < 338 310 < 5(x + 250) < 338 310 < 5(x + 250) < 338
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called an inequality.
According to the given question.
The current temperature of a sugar solution is 250 degrees Fahrenheit. Per minute the temperature of the solution increases by 5 degrees. Also, x is the number of minutes taken by the sugar to caramelize.
⇒ The total increase in the temperature in x minutes = 25 + 5x
Since the sugar solution caramelizes at a temperature greater than 310 and less than 338.
Inequality will be given as:-
310 < 250 + 5x < 338
Therefore, the inequality which is used to find the number of minutes taken by the solution to begin to caramelize is given by 310 < 250 + 5x < 338.
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If the assessment rate is 46% and the tax rate is $37.84 per $1,000 of assessed value, the property tax on a house with a market value of $170,000 is
The property tax on a house with a market value of $170,000 is $2,959.09.
What is property tax?Property tax is a tax levied on the assessed value of property owned by an individual or a corporation.
Data and Calculations:Assessment rate = 46%
Tax rate = $37.84 per $1,000
Market value of house = $170,000
Assessed value = $78,200 ($170,000 x 46%)
Property tax = $2,959.09 ($78,200 x $37.84/$1,000)
Thus, the property tax on a house with a market value of $170,000 is $2,959.09.
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Is the function f(x) = 1 /x− 1 continuous at x = 1? Explain.
Faarax Mohammed shirwa search
Answer:
no
Step-by-step explanation:
f(x) = [tex]\frac{1}{x-1}[/tex]
at x = 1
f(1) = [tex]\frac{1}{1-1}[/tex] = [tex]\frac{1}{0}[/tex]
division by zero is undefined, thus there is a discontinuity at x = 1
so f(x) is not continuous at x = 1
HELP PLEASE HURRY!!
g(x)
3
f(x) = 4x + 5
-32
#12
Which function has the greatest y-intercept?
3/
h(x)=3 sin(2x + 1)-2
Select the correct answer.
A charity's outreach program is working to provide food and medicine to the people affected by a hurricane. The members drive in a truck from their headquarters at A, as shown in the image, to the locations B, C, D, E, F, G, and H and then go back to their office. What is the total length of their drive?
A.
20 units
B.
30 units
C.
40 units
D.
50 units
Students working at a refreshment stand mixed cranberry juice at $0.50 per liter and apple juice at $0.35 per liter to make 120 L of a fruit drink worth $0.40 per liter. How many liters of each did they mix?
Answer:
40 L cranberry juice; 80 L apple juice
Step-by-step explanation:
Let x = number of liters of cranberry juice.
The total volume is 120 L, so the volume of apple juice is
120 - x.
The value of the cranberry juice is 0.5x.
The value of the apple juice is 0.35(120 - x).
The value of the mixture is 0.4(120) = 48
The value of the cranberry juice plus the value of the apple juice equals the value of the mixture.
0.5x + 0.35(120 - x) = 48
0.5x + 42 - 0.35x = 48
0.15x = 6
x = 6/0.15
x = 40
120 - x = 120 - 40 = 80
Answer: 40 L cranberry juice; 80 L apple juice
Identify the errors made in finding the inverse of
y = x2 + 12x.
An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = StartRoot negative 11 x EndRoot, for x greater-than-or-equal 0.
Describe the three errors.
The errors made by the student are:
The variables y and x are not properly swappedThe square root should include the ± signThe domain of the function is incorrectHow to identify the errors?The equation is given as:
[tex]y = x^2 + 12x[/tex]
The first step of the student is given as:
[tex]x = y^2 + 12x[/tex]
This is incorrect because the variables x and y must be completely swapped.
So, the actual step is [tex]x = y^2 + 12y[/tex]
The second step is given as:
[tex]y^2 = x - 12x[/tex]
The third step is given as:
[tex]y^2 = - 11x[/tex]
The last step is given as:
[tex]y = \sqrt{-11x}[/tex] for [tex]x \ge 0[/tex]
This is incorrect because [tex]y = \sqrt{-11x}[/tex] would have complex solution for [tex]x \ge 0[/tex] and the square root needs to have a ±
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Find the values of x and y in the parallelogram.
The measures of the angles of △ABC are given by the expressions in the table.
Angle Measure
A 48°
B (6x−28)°
C (2x)°
Find the value of x. Then find the measures of angles B and C.
Enter your answers in the boxes.
x =
m∠B=
º
m∠C=
º
Answer:
x = 20 ∠B = 92° ∠C = 40°
Step-by-step explanation:
The sum of angles of a triangle is 180°.
48 +(6x -28) +2x = 180
8x +20 = 180
8x = 160
x = 20
∠B = (6x -28)° = (6*20 -28)° = 92°
∠C = 2x° = 40°
Answer
X= 20
m<B = 92°
m <C = 40°
Step-by-step explanation:
The sum of angles in a triangle = 180°
So, 48 + 6x-28 +2x = 180
8x+20= 180
8x = 160
So x= 160/8 = 20
Substitute x in the equations:
m<B= 6×20-28= 92°
m<C = 2×20 = 40°
If P(x)=6+9x−5x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize profit?
The number of speakers that should be sold to maximize profit is 0.9
Vertex of a quadratic equationGiven the function that represents the profit made in selling x thousand Boombotix speakers expressed as:
P(x)=6+9x−5x^2
In order to maximize the profit, p'(x) = 0, hence;
P'(x) =9 - 10x
0 = 9 - 10x
x = 9/10
Hence the number of speakers that should be sold to maximize profit is 0.9
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y is inversely proportional to x when x =3, y = 8 work out the value of y when x = 8
y is inversely proportional to x: yx = k, such k is constant
Did you know?
Inversely proportional is also known as inverse variation.Given:
x = 3y = 8To determine the constant of variation, substitute the first two given values to the equation of variation.
yx = k(8)(3) = k24 = kTo determine the value of y, substitute the second given value of x including the constant of variation.
x = 8, y = ?yx = 248y = 24y = 24/8y = 3Answer:
The value of y is 3.Wxndy~~
Guys help me with a) and b) tasks
ANSWER:
a) 40
b) 25
Thanks<3
Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
the ratio of the measures of the three angles in a triangle is 9:3:6.
find the measures of the largest angle.
Step-by-step explanation:
this is how you solve it :)
If x and y are adjacent angles, then x and y are ______ acute.
answer choices - always, sometimes, or never.
Answer:
sometimes
Step-by-step explanation:
adjacent angles are two angles that share a vertex, common side/ray between them, and do not overlap.
only supplementary adjacent angles always add up to 180 degrees,
both x or y could be any angle, as long as they're sharing a common side and vertex.
Daniel used the formula to find the area of the following special trapezoid. His work is shown. Identify his error and correct it to find the area of the special trapezoid.
Daniel made an error in line 3. He wrongly divided the sum of sides and height. The area of the trapezoid is 42 cm².
What is the area of the trapezoid?A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.
Area of a trapezoid = 1/2 x (sum of the lengths of the parallel sides) x height
Line 1: A = 1/2 x (6) + (7 + 7) Line 2: A = 1/2 (6) (14) Line 3 : 3 x 14 Line 4 : A = 42 cm²To learn more about trapezoids, please check: https://brainly.com/question/25748893
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please answer this question!
A bag of paper clips contains:
. 9 pink paper clips
• 7 yellow paper clips
• 5 green paper clips
• 4 blue paper clips
A random paper clip is drawn from the bag and replaced 50 times. What is a
reasonable prediction for the number of times a yellow paper clip will be
drawn?
Answer:
14 times
Step-by-step explanation: add all colors up for total which is 25
since 7 out of the 25 total paper clips are yellow you would have a 7/25 chance of getting yellow after 1 pick.
since you pick and replace 50 times do (7/25) X 50 which gives you 14 times yellow will be drawn.
elect the correct answer. graph A graph B graph C graph D A credit card company uses these rules to calculate the minimum amount owed: For a bill of less than $100, the entire amount is due. For a bill of at least $100 but less than $500, the minimum due is $100. For a bill of at least $500 but less than $1,000, the minimum due is $300. For a bill of $1,000 or more, the minimum due is $500. Which graph shows the minimum amount due for a credit amount of x (given that the credit limit is $2,000). A. graph A B. graph B C. graph C D. graph D
The graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
How to determine the graph with the minimum amount due?First of all, we would assign a variable to the different amount of money as follows:
Let x be the credit amount.Let y be the minimum amount due.Translating the word problem into an algebraic expression, we have;
For a bill of less than $100, the entire amount is due:
0 ≤ x < $100, therefore, y = x
For a bill of at least $100 but less than $500, the minimum due is $100: $100 ≤ x < $500, therefore, y = 100
For a bill of at least $500 but less than $1,000, the minimum due is $300:
$500 ≤ x < $1000, therefore, y = $300
For a bill of $1,000 or more, the minimum due is $500:
Since the credit limit is equal to $2000, we have $1000 ≤ x < $2000 and y = $500
In conclusion, the graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
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Write a quadratic function with zeroes 6 and 7
Answer:
f(x) = x² - 13x + 42
Step-by-step explanation:
given zeros are x = 6 and x = 7 then the corresponding factors are
(x - 6) and (x - 7)
the quadratic function is then the product of the factors , that is
f(x) = (x - 6)(x - 7) ← expand using FOIL
= x² - 13x + 42
The perimeter of a rectangle is 50 inches. Its width
measures 11 inches. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
A. 2x + 22 = 50
B. 2x + 11 = 50
C. x + 11 = 50
D. 2x11 = 50 * don’t try and be funny I need help bad*
Answer:
50-20 or perimeter-2length
Step-by-step explanation:
15 inches is the width
Please help will give brainlist and 30 points
Answer:
1156
Area = base times height
Area = (36-1-1) times (45-10-1)
=1156
factor completely 4a^3b^5-18a^2b^3+8a^3b^3
The factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)
How to factor the expression?The expression is give as:
4a^3b^5 - 18a^2b^3 + 8a^3b^3
Factor out 2
2(2a^3b^5 - 9a^2b^3 + 4a^3b^3)
Factor out a^2b^3
2a^2b^3(2ab^3 - 9 + 4a)
Hence, the factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)
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C. If f(4x+5)=12x+18 then find f¹(x).
If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.
[tex]f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3[/tex]
Then swapping out 4x + 5 for x gives
[tex]f(x) = 3x + 3[/tex]
The inverse of f(x), if it exists, is a function f⁻¹(x) such that
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Evaluate f at f⁻¹ and solve for f⁻¹ :
[tex]f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}[/tex]
If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.
[tex]f(x) = 3x+3 \implies f'(x) = 3[/tex]
A basketball trophy is 1.5 feet tall and casts a 2 foot shadow.
if a basketball hoop casts a 16 foot shadow, how tall is the hoop
Answer:
12 feet
Step-by-step explanation:
Given that the trophy is 1.5 feet tall which casts a 2 feet shadow and the basketball hoop casts a 16 feet shadow, we can identify the height of the basketball hoop by doing (16÷2)×1.5= 12 feet
Hope this helps with your work
The formula for density is given by p equals startfraction m over v endfraction, where p is density, m is mass and v is volume. if a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml? 7.7 7.7278 7.73 0.1
Answer:
it is 7.73
Step-by-step explanation:
Get smarter
Do subtraction
Answer:
The Answer is 7.73
Step-by-step explanation:
do some basic math lol
You buy 100 file folders for 7.72. how much are you paying for each file folder?
Each folder would cost 0.0772.
What is Rate?Rate is used to express the change in a quantity with respect to a standard quantity.
Analysis:
If 100 file folders cost 7.72, then each folder will cost 7.72/100 = 0.0772
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Answer: 0.8 or whatever has 8 last since i forgot sorry!, but it was correct for me!
Step-by-step explanation:
I dont know if its right for you but its right for me
someone help me please
The height of the aquarium is h = 18 3/4 yd
Volume of a rectangular boxThe formula for calculating the volume of a rectangular box is expressed as
V = lwh
where
l is the length
w is the width
h is the height
Substitute
350 = 20/3 * 14/5 * h
350 = 280/15h
35 = 28/15h
28h = 35 * 15
28h = 525
h = 525/28
h = 18 3/4 yd
Hence the height of the aquarium is h = 18 3/4 yd
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PLEASE HELP URGENTLY! RIGHT ANSWERS ONLY!
Answer:
Hi! The answer is B!
I would suggest using a graphing calculator to compare all the lines. You can use this free one called Desmos, sorry i was not able to attach a link :)
John and Elijah are both driving from New York City to Richmond. John leaves
at 7:20 and averages 60 mph (miles per hour) on the way. Elijah leaves at 7:30
and averages 62 mph on the way. The situation is modeled by this system,
where x is the number of hours after Elijah leaves and y is the distance each
will travel.
y = 60x+10
y = 62x
How long after Elijah leaves will he pass John, and how far will they each
have traveled?
OA. Elijah will pass John after 4 hours, and they each will have traveled
248 miles.
OB. Elijah will not pass John, because he will never catch up with him.
C. Elijah will pass John after 5 hours, and they each will have traveled
310 miles.
D. Elijah will pass John after 2 hours, and they each will have traveled
128 miles.
2
5-
Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John and Elijah are both driving from New York City to Richmond.
John leaves at 7:20 and averages 60 mph (miles per hour) on the way.
Elijah leaves at 7:30 and averages 62 mph on the way.
The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.
y = 60x + 10 ...1
y = 62x ...2
The time is taken by Elijah to cross John will be
62x = 60x + 10
2x = 10
x = 5 hours
The distance traveled in 5 hours will be
y = 62 (5)
y = 310 miles
Elijah will pass John after 5 hours, and they each will have traveled 310 miles.
Then the correct option is C.
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Answer:
c
Step-by-step explanation:
i took the quiz
Whats 2 plus 0 bc I can't figure it out ......
Answer:
this is the hardest one yet gee
Step-by-step explanation:
2 + O = 2
Please help!!! will mark brainliest!!!!!!
The compound interest will be equal to $13.57.
What is compound interest?The interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from prior periods is known as compound interest.
The compound interest will be calculated by:-
[tex]CI = P(1+\dfrac{r}{12})^{12t}-P[/tex]
[tex]CI = 250(1+\dfrac{0.053}{12})^{12}-250[/tex]
CI = $13.57
Therefore the compound interest will be equal to $13.57.
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