Answers
2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, Ariana purchased two drill set from a sale, each of them costs $25 less than its original price,
If f is the original price, then she must have purchased it at (f-25) and for two sets it's 2(f-25)
She paid $86 for her purchase, so,
2(f-25) = $86
Hence, 2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.
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Related Questions
Use synthetic division to divide x^3+8x^2+11x-20 by (x+4). Explain steps
Answers
Answer:
X²+4X-5 without a reminder
Write each trigonometrie ratio as a fraction and as a decimal rounded to the nearest hundredth.
Answers
Answer: length C to A is .001 and c to b is 0.03 and b to a is 0.04
Step-by-step explanation:
Suppose that each semester at a particular community college Manuel has to pay $1478 in tuition and $121 in fees.
If Manuel has x semesters remaining, write an algebraic expression representing the total amount he will need for tuition.
If Manuel has x semesters remaining, write an algebraic expression representing the total amount he will need for the fees.
If Manuel has × semesters remaining, write an algebraic expression representing the total amount of money he will spend for tuition and
Answers
Answer:
Step-by-step explanation:
Let x be time, in semesters, remaining before Manuel graduates. We find that Manuel's expenses are:
$1478/semester in tuition, and
$121/semester in fees
1. x semesters remaining: fees
Remaining cost for fees, y, is the product of the fee times the number of semesters, x:
y =($121/semester)*x
y = ($121)*x
2. x semesters remaining: tuition
Remaining cost, y, is the product of the tuition (times the number of semesters, x.
y = ($1478/semester)*x + ($121/semester)*x
y = ($1599)*x
3. x semesters remaining: tuition and fees
Remaining cost, y, is the sum of the products of the tuition (times the number of semesters, and the fees (tix.
y = ($1478/semester)*x + ($121/semester)*x
y = ($1599)*x
Can someone help Solve for x.
Answers
At a certain gas station, gas costs $2.85 a gallon. Jason paid $25.50 to fill his tank. Write and solve an equation to
find how many gallons of gas he bought?
Answers
Answer:
8.95 gallons
Step-by-step explanation:
25.50/2.85 = 8.95
1. The slope of the line
y = x + 17 is ___.
2. The slope of the line
y = x - 7/9 is ___.
Answers
Answer:
1. 1
2. 1
Step-by-step explanation:
Step 1
recall the eqn of a line y = mx + c
where m is the slope
step 2
compare you eqn given with the eqn y = mx + c
y = mx + c
y = 1 x + 17
then m = 1 which is slope.
both qns follows the same procedure
3.13 test: congruence and constructions
Answers
Answer:
The angle-angle-side postulate. A.A.S
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+240x+115
Answers
Check the picture below.
so the rocket will hit the ground when y = 0, so hmmm, there's no simple factoring that'd give us integers, so we'll plug the quadratic into the quadratic formula
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+240}x\stackrel{\stackrel{c}{\downarrow }}{+115} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (240) \pm \sqrt { (240)^2 -4(-16)(115)}}{2(-16)} \implies x = \cfrac{ -240 \pm \sqrt { 57600 +7360}}{ -32 }[/tex]
[tex]x= \cfrac{ -240 \pm \sqrt { 64960 }}{ -32 }\implies x=\cfrac{ -240 \pm 8\sqrt { 1015 }}{ -32 }\implies x=\cfrac{ 240 \mp 8\sqrt { 1015 }}{ 32 } \\\\\\ x=\cfrac{ 30 \mp \sqrt { 1015 }}{ 4 }\implies x\approx \begin{cases} -0.46\\\\ 15.46 ~~ \textit{\large \checkmark} \end{cases}[/tex]
now, let's notice, "x" cannot be negative, so the negative value is tossed.
what is the slope intercept form of 4y+x=-1
Answers
Answer:
[tex]y=-\frac{1}{4}x-\frac{1}{4}[/tex]
Step-by-step explanation:
To find the equation in slope-intercept form, isolate [tex]y[/tex].
[tex]4y+x=-1 \\ \\ 4y=-x-1 \\ \\ y=-\frac{1}{4}x-\frac{1}{4}[/tex]
If p * q = 3p + 2q – 5, then 3 * 2 =
Answers
Work Shown:
p * q = 3p + 2q - 5
3 * 2 = 3(3) + 2(2) - 5
3 * 2 = 9 + 4 - 5
3 * 2 = 13 - 5
3 * 2 = 8
help meeeeeeeeeeeeeee pleaseee
Answers
The table of solutions for this quadratic equation (y = -2x²) include the following:
x y_
-2 -8
-1 -2
0 -0
1 -2
2 -8
Also, a graph of the solution of this quadratic equation is shown in the image attached below.
How to determine the solution and plot the graph?In Mathematics, the valid and true solutions to the given quadratic equation (y = -2x²) are referred to as ordered pairs and they can be determined by substituting the x-values contained in the table into the quadratic equation as follows;
When x = -2, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
When x = -1, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
When x = 0, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
When x = 1, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
When x = 2, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, you would notice that a graph of this quadratic equation is parabolic (u-shaped) in nature with a slope of -2.
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Determine whether the relation is a function. Then list the domain and range.
{(1, -2), (-1,2), (-2,4), (1,3)}
Answers
The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The domain of the function is defined as the set of all the possible values of the function.
The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.
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Solve for the value of q.
46⁰
(q-3)⁰
Answers
The right angle equals 90º always, so 90 + 46 = 136
180 - 136 = 44 ( this is want we want)
Q-3 = 44
+3
Q = 47
Answer = 47
Please help me when this question it would mean a lot I’m alll most out of time
Answers
The motel revenue based on the number of rooms rented and group rental are as follows;
(a) The price for renting three rooms is $195
(b) The formula through which the unit rate of a room is found is aₙ = 71 - 3·(n -1)
(c) The function for the revenue, R(n) = 74·n - 3·n²
(d) The most amount that can be made is $456
The number of rooms that gives the most amount is 12 rooms
What is a revenue in business?A revenue is the total amount received for the sale of goods and services
The number of rooms in the motel = 44
The price for renting one room = $71
The price for renting two rooms = $68
The per room group rate = $71 - $3 for each additional room
(a) The amount made if a family rents three rooms is given as follows;
The unit price for two rooms = $71 - $3 = $68
The unit price for three rooms = $68 - $3 = $65
The price for the three rooms is therefore;
$65 × 3 = $195
(b) The formula that gives the rate charged for each room to an organization is an arithmetic progression, which can be expressed as follows;
aₙ = a₁ + (n - 1)·d
Where;
n = The number of rooms the organization plans to rent
a₁ = The first term of the arithmetic progression = 71
d = The common difference = -3
Which gives;
aₙ = 71 - 3·(n - 1)
The price for each room when an organization rents n rooms is therefore;
aₙ = 71 - 3·(n - 1)
(c) The revenue for renting n room is given by the formula;
Revenue, R(n) = Unit rate × Number of rooms
∴ R(n) = (71 - 3·(n - 1)) × n = 74·n - 3·n²
(d) The -ve coefficient of n² in the formula with which the revenue can be found indicates that the function has a maximum value. The number of rooms that gives the most revenue is obtained at the from the derivative of the R(n) as follows;
R'(n) = 74 - 6·n = 0
n = 74/6 ≈ 12
Which gives;
[tex]R_{max}[/tex] = R(12) = 74 × 12 - 3 × 12² = 456
The maximum revenue from renting to a single group ≈ $456
The number of rooms to rent that gives the maximum revenue is n ≈ 12
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each face of a cube is painted either red or blue, each with probability 1/21/2. the color of each face is determined independently. what is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color?
Answers
The probability that the vertical faces have the same color painted is 0.6875
There are 6 faces on a cube.
Each face of the cube will either be red or blue.
The probability that one face will have red color = probability that the face will have blue color = 1/2
It is given that the cube is placed on a horizontal surface and the 4 vertical faces have the same color.
The painting of the faces of the cube clearly follows a binomial distribution.
Therefore the probability to color the faces of a cube
= P(4 faces are red, 2 faces blue) + P(4 faces are blue, 2 faces red) + P(5 faces blue) + P(5 faces red) + P(All faces blue) + P(all faces red)
For any binomial distribution
ⁿCₓ X pˣ (1 - p)ⁿ⁻ˣ
where
n = no. of sample
x = random variable
p = probability of success
Hence we get
⁶C₄ X 0.5⁴ 0.5² + ⁶C₄ X 0.5⁴ 0.5² + ⁶C₅ X 0.5⁵ 0.5 + ⁶C₅ X 0.5⁵ 0.5
⁶C₆ X 0.5⁶ + ⁶C₆ X 0.5⁶
= 15 X 0.015625 + 15 X 0.015625 + 6 X 0.015625 + 6 X 0.015625 + 0.015625
= 0.6875
Therefore we get the probability of having the four vertical faces of the same color to be 0.6875.
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bjorn is trying to estimate a difference in average sugar content in two different types of donut: one that is fat free, and one that is full fat. in order to do this, he collects 60 donuts to test: 22 donuts are fat free, 38 that are full fat. he says this satisfies his assumptions. is he right? if not what's wrong? (select all that apply)
Answers
The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.
Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.
He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal
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G(F(x)) = (x - 5)3 + x - 5
A.
F(x) = x - 5 and G(x) = (x - 5)3
B.
F(x) = x - 5 and G(x) = x3 + x
C.
F(x) = (x - 5)3 and G(x) = x - 5
D.
F(x) = x3 + x - 5 and G(x) = x - 5
Answers
Option B is correct.
Given that Function G(F(x)) = (x - 5)3 + x - 5 ;
Lets take a function G(x) = x3 + x as (i) and check that it will produce the above equation or not.
Now suppose that the value of the function F(x) = x-5 as (ii) , using this value we will check that whether it support the value for g(x) or not.
Put the value of function f(x) in the equation number i , it will be like this :
G(f(x)) = f(x)3 + f(x)
we know that the value of f(x) from (ii)
Therefore, G(f(x)) will be :
G(f(x)) = (x - 5)3 + x - 5, this will satisfy the above equation which means our supposition was correct. Hence the correct ans is B
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The number of bicycles that must be manufactured to minimize the cost of 250 and the minimum cost is $11,500.
In the given question,
The cost C in dollars of manufacturing x bicyles at a production plant is given by the function shown below;
C(x) = 3x^2-1500x+199,000
(a) In the given question we have to find the number of bicyles that must be manufactured to minimize the cost.
The given function is
C(x) = 3x^2-1500x+199,000
To find the maximum or minimum value we firstly find the value of f'(x).
C'(x) = 6x-1500
Now put f'(x)=0
6x-1500=0
Add 1500 on both side, we get
6x=1500
Divide by 6 on both side we get
x=250
Hence, the number of bicycles that must be manufactured to minimize the cost of 250.
(b) Now finding the value of function at x=250
C(250) = 3(250)^2-1500*250+199,000
C(250) = 3*62,500-375,000+199,000
C(250) = 187,500-375,000+199,000
C(250) = 11,500
The minimum cost is $11,500.
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17. Yu Yan withdrew $25 from her savings account. The next day, she withdrew another $32.75 from
her savings account.
a. Write a numerical expression to represent the changes in Yu Yan's account.
b. Evaluate your expression from part (a).
18. Evaluate 33.28 0.64 by using the standard algorithm.
Answers
Answer:
Step-by-step explanation:
a. The numerical expression representing the changes in Yu Yan's account is x = 25 + 32.75.
b. After evaluating expression (a), we see that $57.75 is the total amount changed from her account.
What is a numerical expression?
In mathematics, a numerical expression is a combination of sets of numbers and integer combined using addition, subtraction, multiplication, or division. When used with mathematical operators like addition, subtraction, multiplication, or division, it is said that a numerical expression is a combination of different integer numbers. The following are a few typical examples of numerical expressions: 5 + 10150 - 2520 × 2 + 5 40 ÷ 10 × 2 - 8 + 1 75 + 6 - 8.
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The graph of a linear function has a slope of 5 and passes through the point (1, 8).
What's the zero?
Answers
HELPPPPPPPPPP
A) 2
B) 3
C) 4
D)5
Answers
Answer:
it's b extra words. extra words. extra words. extra words
Step-by-step explanation:
I took the test
Please help first correct answer gets brainliest
Answers
help is needed please and thank you
Answers
The required value of h(0) = 5 in the given function is represented in the shown graph.
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The function is given in the represented graph of g(x)
We have to determine the value of h(0) of the given function in the graph
According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.
Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.
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Henry Bonnacio deposited 1,000 in a new savings account at First National Bank. He made no other deposits or withdrawls. After 6 months the interset was computed at an annual rate of 6 1/2%. How much simple interst did his money earn.
Answers
* Applying this to the principle of 1000 we calculate:
* 1000 * 0.0325 = 32.50.
Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year
Answers
Answer: $2.08
Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)
=2.08
about 2% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
Answers
0.0147 is the standard deviation for the number of people .
How to interpret a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high. The standard deviation calculates how much the data vary from the mean value. It is helpful for contrasting data sets that might have the same mean but a different range.standard deviation = sqrt(p*(1-p)/n)
= sqrt(0.07 * 0.93/300)
= 0.0147
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Determine the value of x in the equation below.
16 - (x + 5) = 5
Answers
Answer:
x=6
Explanation:
16-(x+5)=15
open the bracket using 1 as an invisible number after the minus sign16-x+5=15You move -x to cross the equality sign and it change to + 16+5-15 =x+15 change to -15 because of the equality sign 21-15=6x=6a school is organizing a weekend trip to a nature preserve. for each student, there is a $60 charge, which covers food and lodging. there is also a $40 charge per student for the bus. the school must also pay a $30 cleaning fee for the bus. if the total cost of the weekend is $4,030, how many students will be going on the trip?
Answers
Using the concept of linear equation in one variable, it is concluded that the total number of students who will go on the trip are 40.
What is a linear equation in one variable?An equation that contains only one variable and has its degree one is called a linear equation in one variable. The general form of linear equation in one variable is ax + b = 0, where a and b are real numbers and a ≠ 0.
Given that food and lodging charge per student = $ 60
Charge per student for bus = $ 40
And the amount paid for the cleaning fee for the bus = $ 30
Let the total number of students who are going on the trip = x
Now, the Total charge for food and lodging = $60x
The total charge for bus fare = $ 40x
Given that total cost paid = $ 4030
Hence, $60x + $40x + $30 = $4030
$100X = $4030 - $30
$100X = $4000
x = 40
Hence, the total number of students who will go on a trip is 40.
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From a set of whole numbers less than 25, what is the probability of getting a number either divisible by 5 or
divisible by 3?
A.) 3/5
B.) 14/25
C.) 1/5
D.) 11/25
Answers
From a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
The set of whole numbers = {0, 1,2,3,4,5.....}
The set of whole numbers less than 25 = {0,1,2,3,4,......,24}
The numbers divisible by 5 = {5, 10, 15, 20}
The numbers divisible by 3 = {3, 6, 9, 12, 15, 18, 21, 24}
The common term is 15
The probability = Number of favorable outcomes / Total number of outcomes
The number of favorable outcome = 11
Total number of outcomes = 25
Substitute the values in the equation
The probability = 11/25
Hence, from a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
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there are 46 students going on a field trip to the museum. if 7 students can fit in each van , how many vans are needed for all 46 students to go to the museum
Answers
Answer:
Step-by-step explanation:
NOSEEEEEE
Divide 46 by 7 which equals 6.5 but since you cannot take half a bus you round up to 7 so 7 buses will be needed to take the 46 students
