If the quotient of a number and 16 is added to 1/4 the result is 5/16
Answers
Answer:
if youre trying to find the number then the number is 1
Step-by-step explanation:
the equation would be x/16+1/4=5/16
well we want to make everything have the same denominator and 16 is the LCD ( least common denominator ) so you would multiply 1/4 by 4/4 to get 4/16.
this means x/16+4/16=5/16 and and 4+1=5 so 1 is the answer
Related Questions
PLZ HELP ME
The graph shows the solution to which system of inequalities?
A) y < -2x + 4 and y < 2x + 4
B) y < -2x + 4 and y ≤ 2x + 4
C) y > -2x + 4 and y ≤ 2x + 4
D) y ≤ -2x + 4 and y ≤ 2x + 4
Answers
Answer:
see below
Step-by-step explanation:
The shading is below the line in both cases. The dashed line has negative slope, so the inequality associated with it is ...
y < -2x +4 . . . . . . note that the < symbol has no "or equal to"
The solid line has positive slope, so its inequality is ...
y ≤ 2x +4
Both these inequalities are found in choice B.
What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
Answers
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
Please help me solve this fast!
Answers
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answers
Answer:
sept one
Step-by-step explanation:
Demarco substitutes a value for x in the equation 2x = 4.
How will Demarco know if the value is a solution of the equation
Pls help
Answers
Answer:
If both sides are equal
Step-by-step explanation:
If both sides are equal and are the same in both sides of the equation, than it is a solution.
For instance, the solution for 2x = 4, is x = 2 because 2(2) = 4 is 4 = 4.
Find the area of the figure pictured below.
15 yd
10 yd
17 yd
5 yd
A
Answers
First find the area of the square, then the triangle.
15 times 17 = 255 sq. yd
Triangle:
(5 times 5)/2 = 12.5 sq. yd
Your answer is 267.5 sq. yd
Hope this helps.
Approximately how many cars are expected to be parked in the lot at 4:00 p.m.?
OA
200 cars
OB.
130 cars
Ос.
75 cars
OD.
15 cars
Answers
==============================================================
Explanation:
4:00 p.m. corresponds to x = 16, since 12+4 = 16
You can think of 4:00 p.m. representing 1600 hours in terms of military time.
Locate 16 on the x axis. Draw a vertical line until this vertical line crosses the blue parabola. Check out the diagram below.
From this point of intersection, draw a horizontal line until you move to the y axis. You should be somewhere between y = 60 and y = 90.
A good guess could be 75 since it is the midpoint of 60 and 90. Algebraically we confirm it as such: (60+90)/2 = 150/2 = 75
To be fair, we may not hit the exact middle and may be at y = 70 instead of y = 75. But I think the midpoint is a good estimate considering we don't have all the information.
Luckily 75 is on the list of choices, and the other choices aren't even close. So choice C is likely the answer.
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
Answers
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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If f(x)=-2x-3 find the value f(4y)
Answers
Answer:
f(4y) = -8y - 3
Step-by-step explanation:
Step 1: Define variables
f(x) = -2x - 3
f(4y) = x = 4y
Step 2: Plug in x = 4y
f(4y) = -2(4y) - 3
f(4y) = -8y - 3
It takes 8 men 9 hours to dig a hole 20 deep. How long would it take 10 men to dig the hole if they work at the same rute?
Answers
It would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.
To find out how long it would take 10 men to dig the same hole if they work at the same rate, we can use the concept of man-hours.
We are given that 8 men can dig the hole in 9 hours.
This means that the total man-hours required to complete the task is 8 men \(\times\) 9 hours = 72 man-hours.
Since the number of men has increased to 10, we need to determine the new time it would take for them to complete the task at the same rate.
If we assume that the work rate remains constant, the total man-hours required to dig the hole would still be the same, which is 72 man-hours.
To find the new time, we divide the total man-hours by the number of men:
72 man-hours / 10 men = 7.2 hours.
Therefore, it would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.
Note: It's important to keep in mind that this calculation assumes a linear relationship between the number of men and the time taken.
In practice, other factors such as coordination and efficiency may come into play, potentially affecting the actual time required.
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What is 460 rounded to the nearest whole number?
10
Answers
Answer:
460 rounded to the nearest hundred is 500. 460 rounded to the nearest 10 stays 460.
Answer:
500
Step-by-step explanation:
By approximation, 460 gives 500 as the nearest whole no.
since the no. next to 4 i.e 6,is up to 5.
A student polls his school to see if students in the school district are for or against the new legislation regarding school uniforms. She surveys 600 students and finds that 480 are against the new legislation.
Required:
a. Compute a 90% confidence interval for the true percent of students who are against the new legislation and interpret the confidence interval.
b. In a sample of 300 students, 68% said they own an iPod and a smart phone. Compute a 97% confidence interval for the true percent of students who own an iPod and a smartphone.
Answers
Solution :
68 % of the students owns iPod and a smart phone. So
p' = 0.68
q' = 1'
= 1 - 0.68
= 0.32
Since CL = 0.97, we know that \($\alpha = 1 - 0.97 = 0.03 $\)
The area to the left of \($z_{0.015}$\) is 0.015 and the area to the right of \($z_{0.015}$\) is \($1 - 0.015 = 0.985 $\)
Thus using \($TI \ 83, 83+ \ or \ 84+$\) calculator function \($\text{InvNorm} (0.985, 0.1), z_{0.015} = 2.17$\)
\($\text{EBP} = z_{\alpha / 2} \times \left( \sqrt{\frac{p'q'}{n}}\right) $\)
\($\text{EBP} = 1.645 \times \sqrt{\frac{0.68 \times 0.32}{300}} $\)
= 0.0269
Therefore, we are ninety seven percent confident that a true proportion of all the students who has iPod as well as a smart phone is between the 0.6531 and 0.7069
a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.
b). Now,
Press the 'STAT' and then arrow over to perform TEST.
Now arrow down to the A:1 - PropZint and then place Enter.
Arrow a down x and then enter the 300 x 0.68
Similarly arrow a down to given n and then enter the 300
Now arrow down to the C-level and the enter the 0.97
Arrow a down for calculating and press the enter button.
The confidence interval is (0.6531, 0.7069)
a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.
A line that includes the point (-6, 10) has a slope of -7. What is its equation in point-slope form?
Answers
Answer:
y - 10 = -7(x + 6)
Step-by-step explanation:
Hope it helps!
Thank you for taking the time out of your day to help me. Appreciate it.
Answers
Answer:
calculator gave me 6.5732
Step-by-step explanation:
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
(f + g)(x 3 for all values of x
(f + g)(x) 3 for all values of x
(f + g)(x)6 for all values of x
(f + g)(x)for all values of x
Answers
The range of values of (f + g)(x) is for all values of x -infinity to + infinity
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are Given f(x) = |x| + 9 and g(x) = –6,
Required the range of (f + g)(x)
First, calculate
(f + g)(x) = f(x) + g(x)
Substitute values for f(x) and g(x)
(f + g)(x) = |x| + 9 - 6
(f + g)(x) = |x| + 3
The above expression shows that (f + g)(x) ≥3
Range = (f + g)(x) ≥3 for all values of x
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What would the answer be and why?
Answers
Answer:
Solution: First option
Step-by-step explanation:
An increase in demand and a decrease in supply will cause an increase in the equilibrium price, but the effect on quantity is unclear.
Reasoning: For any quantity, the 'buyers' places a higher value on the goods, so the 'manufactures' must place higher values in order to distribute the good. Thus the price increases, but the output depends on the size of the two factors and which dominates, (1) pricing, (2) goods.
A random sample of laptop computers at an electronics store shows that 1 of the 25 sampled laptop computers has a malfunction. There are 300 laptop computers at the electronics store. Estimate the number of laptop computers at the electronics store that have malfunctions.
Answers
Answer:12
Step-by-step explanation:
i did it :)
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $5,000, annual interest: 8%, interest periods: 2, number of years: 19
Answers
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &19 \end{cases} \\\\\\ A=5000\left(1+\frac{0.08}{2}\right)^{2\cdot 19}\implies A\approx 22194.067 \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &19 \end{cases} \\\\\\ A=5000\left(1+\frac{0.08}{1}\right)^{1\cdot 19}\implies A\approx 21578.505\)
Given the quadriceps function ,y=ax2+bc+c what happens to the graph when "a" is a positive?
Answers
Answer:
When "a" is positive, the parabola opens upwards and the vertex is the minimum value.
Step-by-step explanation:
How do you do this i cant remember i fell asleep in class
Answers
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
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216. Разложите на множители, а затем вычислите значение выражения
a) a² + ab при а = 6,6, b = 3,4;
б) x2 - ху при х = 0,5, у = 2,5;
в) —5а² — 5ах при а = 4, x = -3
Answers
Answer:
Doesn't make a lot of sense. Can you be more specific.
Step-by-step explanation:
Is figure ABCD a translation of Figure ABCD
A. Yes it is translated 2 units left and 2 units up
B. Yes it is translated 1 unit left and 3 units up
C. Yes it is translated 3 units left and 1 unit up
D. No the two figures are oriented diferently
Answers
what is the surface area of this design ?
Answers
Answer:
384 8x8=64 64x2=128 128x3=384
Step-by-step explanation:
5. En una investigación hecha a un grupo de 100 estudiantes, la cantidad de personas que estudian idiomas fueron las siguientes: español, 28; alemán, 30; y francés, 42; español y alemán, 8; español y francés 10; alemán y francés 5; los tres idiomas 3. a) ¿Cuántos alumnos no estudian ningún idioma?
Answers
There are 20 students who do not study any language.
To determine the number of students who do not study any language, we need to subtract the total number of students who study at least one language from the total number of students in the group.
Given the information provided, we can use the principle of inclusion-exclusion to calculate the number of students who study at least one language.
Using the inclusion-exclusion principle, we can calculate the number of students who study at least one language as follows:
Students studying at least one language = Students studying Spanish + Students studying German + Students studying French - Students studying Spanish and German - Students studying Spanish and French - Students studying German and French + Students studying all three languages
Substituting the given values from the question:
Students studying at least one language = 28 + 30 + 42 - 8 - 10 - 5 + 3
Students studying at least one language = 80
Now, we can calculate the number of students who do not study any language:
Students not studying any language = Total number of students - Students studying at least one language
Students not studying any language = 100 - 80
Students not studying any language = 20
20 students do not study any languages, as a result.
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A circle has a radius of 12 mm.How long is it's diameter?
Answers
Answer:
6mm
Step-by-step explanation:
radius = 1/2 of diameter
Tell whether each ordered pair is a solution of the equation: 2x - y = 4, ( 3, -2 )
Answers
The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, an equation 2x - y = 4 now if (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.
when x = 3,
2(3) - y = 4.
6 - y = 4.
- y = 4 - 6.
- y = - 2.
y = 2.
So, (3, - 2) is not a solution to an equation 2x - y = 4.
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What the distance between -6,2 -6,-15
Answers
Answer:
The answer is 17
Step-by-step explanation:
-15-2= -17
Someone please help me asap.
Answers
The equation of the relationship is f(200) = 0.75 * 200
Writing the equation of the relationshipFrom the question, we have the following parameters that can be used in our computation:
Total number of drinks = 200
Cost of each drink = 0.75
Using the above as a guide, we have the following:
f(x) = Cost of each drink * Total number of drinks
Where
f(x) = Total cost
Substitute the known values in the above equation, so, we have the following representation
f(200) = 0.75 * 200
Hence, the equation is f(200) = 0.75 * 200
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Tyler orders a meal that costs $15
the sales tax in tyler’s county is 6.6%
how much will the sales tax be on tyler’s meal?
Answers
Answer:
0.44
Step-by-step explanation:
Divide the percent with the original price to get your answer
4/5a - 8 = a + 2 solve for a
Answers
Answer:
a=-50
Step-by-step explanation: