Sandy has around $245 in her pocket but she thinks she could have up to $25 more or $25 less. Write and solve an absolute value equation that can show the maximum and minimum amount of money that Sandy has in her pocket.
Answer:
The absolute value equation is |x - 245| = 25The maximum amount of money in Sandy's pocket is $270The minimum amount of money in Sandy's pocket is $215Step-by-step explanation:
The absolute value equation for the amount of money in Sandy's pocket is given as;
|x - 245| = 25
The equation for the maximum amount of money in Sandy's pocket is given as;
x - 245 = 25
x = 25 + 245
x = $270
The equation for the minimum amount of money in Sandy's pocket is given as;
x - 245 = -25
x = -25 + 245
x = $215
If a wedding ring is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ring was dropped. How far has the ring fallen after 5 seconds?
The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)
Answer:
1 / 8
Step-by-step explanation:
Given the data
_____Favor __Oppose__ No Opinion__Total
Demo 320___ 150 ______50 _______ 520
Repub 125___ 345 _____ 10 _________480
Total 445 ___495 ______60 ________ 1000
what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica
From the table provided :
n(favor n republican) / n(Total)
Number of republican who are in favor = 125
Total number of persons = 1000
Hence,
125 / 1000
= 1/8
Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.
Answer:
Mathematical model is:
(895/n) + 25 ≤ 60
Number of students must not be less than 26
Step-by-step explanation:
We are told that;
- the rental of a bus for the day will cost $895.
- Lunch and festival activities will cost $25 per student
If the number of students are n, then cost per student for bus rent is; $895/n
Thus, total amount per n number of students to participate is;
895/n + 25
Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.
Thus in form of inequality, we have;
(895/n) + 25 ≤ 60
Subtract 25 from both sides to get;
(895/n) ≤ 60 - 25
(895/n) ≤ 35
Multiply both sides by n and then divide both sides by 35;
895 ≤ 35n
26 ≤ n
y = 3x - 12x +9
In standard form?
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
चुनाव आयोग के कार्यों को लिखिए।
Answer:
भारत निर्वाचन आयोग (अंग्रेज़ी: Election Commission of India) एक स्वायत्त एवं अर्ध-न्यायिक संस्थान है जिसका गठन भारत में स्वतंत्र एवं निष्पक्ष रूप से विभिन्न से भारत के प्रातिनिधिक संस्थानों में प्रतिनिधि चुनने के लिए किया गया था। भारतीय चुनाव आयोग की स्थापना 25 जनवरी 1950 को की गयी थी।
Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coefficient of x k in (x+1/ x) n .
9514 1404 393
Answer:
(a) -29,884,416
(b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ
Step-by-step explanation:
(a) The coefficient of the k-th term of the expansion is ...
C(20,k)(3x)^(20-k)(-2y)^k
For k=19, this is ...
19(3x)(-2y)^19 = -29,884,416xy^19
The coefficient of the term is -29,884,416.
__
(b) The p-th term of the expansion of (x +1/x)^n is ...
C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))
For some exponent k of x, the value of p will be ...
k = n -2p
p = (n -k)/2
Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).
You will notice that there will only be a term x^k for k having the same parity as n.
A square has a perimeter of 72 cm what is the length of each side
Answer:
each side is 12 cm
Step-by-step explanation:
This is a simple equation, since a square is equal an all 4 sides, all you have to do it divide 72 by 4 to get your answer.
May I have brainliest please? :)
A train stops at Atlanta, then at Bayville, and then at Colleyville. The
distance from Atlanta to Colleyville is 25.5 miles, and the distance from
Atlanta to Bayville is 10 2/3 miles.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as what is required of the question is not stated.
However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.
Represent the distance from Atlanta to Colleyville with AC
Represent the distance from Atlanta to Bayville with AB
Represent the distance from Bayville to Colleyville with BC
So, we have that:
[tex]AC = 25.5\ miles[/tex]
[tex]AB = 10\frac{2}{3}\ miles[/tex]
The relationship between AB, AC and BC is:
[tex]AC = AB + BC[/tex]
Make BC the subject of formula:
[tex]BC = AC - AB[/tex]
[tex]BC = 25.5 - 10\frac{2}{3}[/tex]
Convert fraction to decimal
[tex]BC = 25.5 - 10.7[/tex]
[tex]BC = 14.8[/tex]
Hence, the distance from Bayville to Colleyville is 14.8 miles
(1 pt)What is the vertex of the graph of
the function f(x) = x2 + 6x + 9?
Answer:
(-3,0)
Step-by-step explanation:
what do i need to subtract from 83/10 to make 8
Answer:
0.3
Step-by-step explanation:
Let x be what you need to subtract
[tex]\frac{83}{10} = 8.3[/tex] Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.I hope this helps!
Answer:
3/10
Step-by-step explanation:
83/10 - 3/10 = 80/10 = 8
What is the solution to the inequality f + 4 < 2?
Answer: f=-2
Step-by-step explanation:
math
Answer:
f < -2
Step-by-step explanation:
plz do this ill mark brainly
Answer:
7+(−2) = 7 − 2 = 5
Step-by-step explanation:
Answer:
The Positive number has to be greater than the negative number you are adding with.
Example(s):
-30 + 35 = 5
-65 + 70 = 5
a tv costs 800 plus vat at 20% what is the total cost of the tv
what is an odd number
Answer:
An odd number is any number than can't be divided by two ! Some examples are 1, 3, and 5.
Any integer (not a fraction) that cannot be divided exactly by 2. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers.
what is the value of B and C
Answer:
The value of b is 6 and the value of c is also 6
Step-by-step explanation:
We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.
So,
ΔUWV≅ΔEDF
Then
WV ≅ DF
WU ≅ DE
UV ≅ EF
So,
Putting their respective value equal:
WV = DF
[tex]9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6[/tex]
Hence,
The value of b is 6 and the value of c is also 6
Graph the equation on the coordinate plane.
y = 4x
Formed from sentences P and Q, the sentence P or Q is a
A) biconditional.
B) complementary.
C) conditional
D) disjunction.
Answer c I think
Step-by-step explanation:
Will mark as brainliest if correct!!!!!
Answer: the answer would be F
Step-by-step explanation:
) Encuentra dos números consecutivos cuya suma sea 57.
Answer:
k
Step-by-step explanation:
k
A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they pave in one hour?
Answer:37.5
Step-by-step explanation:
The work a crew will pave in an hour will be 8/5 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,
1 / 8 hours ⇒ 1 / 5 miles
1 hour ⇒ 8 x (1 / 5 ) miles
1 hour ⇒ 8 / 5 miles
Therefore, the work a crew will pave in an hour will be 8/5 miles.
To know more about an expression follow
https://brainly.com/question/16174575
#SPJ2
which is closer to 0, -24 or 38
Answer:
-24
Step-by-step explanation:
Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.
I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $20per foot, and the fencing for the east and west sides costs $10 per foot. If I have a budget of $200 for the project, what are the dimensions of the garden with the largest area I can enclose? HINT [See Example 2.]
ft (smaller value) ? ft (larger value)
ft2
Answer:
Length = [tex]5\ \text{ft}[/tex]
Breadth = [tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the length of the garden
and [tex]y[/tex] be the width of the garden
From the details of the cost in the question we get
[tex]20x+2\times (10y)=200\\\Rightarrow 20x+20y=200\\\Rightarrow x+y=\dfrac{200}{20}\\\Rightarrow x+y=10\\\Rightarrow y=10-x[/tex]
Now area of the garden is
[tex]A=xy\\\Rightarrow A=x(10-x)\\\Rightarrow A=10x-x^2[/tex]
Differentiating with respect to x we get
[tex]\dfrac{dA}{dx}=10-2x[/tex]
Equating with 0
[tex]0=10-2x\\\Rightarrow x=\dfrac{-10}{-2}\\\Rightarrow x=5[/tex]
Double derivative of the area is
[tex]\dfrac{d^2A}{dx^2}=-2<0[/tex]
So, area is maximum at [tex]x=5[/tex]
[tex]y=10-x=10-5\\\Rightarrow y=5[/tex]
So, the length and breadth of the rectangle is [tex]5\ \text{ft}[/tex].
Hey pls help me in this thanks a lot
Answer:
m= -13-q+15h, h€R, q€RPLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answer:
Since this graph is continuing, y must be any real number. So, d.
A new, healthy drink has 160% of the “recommended daily allowance” (RDA) of vitamin J. If the RDA is 40 milligrams, how much vitamin J is in the new health drink?
Answer:
80
Step-by-step explanation:
Im not really sure just the thingy says that 80 was the right anwser
Answer:
64
Step-by-step explanation:
Sorry I'm really late.
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
A 15 foot ladder is leaning against a building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder reach?
The ladder will reach
android:
nothing ft high up on the building.
(Round to the nearest tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Answer: The height of the building = 14.5 feet.
Step-by-step explanation:
Given: Length of ladder = 15 feet
Distance of base of ladder from building = 4 feet
Since building is standing vertical on ground making right angle.
So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]
According to the Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
⇒ (15)² = Perpendicular² + (4)²
⇒ 225 = Perpendicular² +16
⇒ Perpendicular² = 225 -16
⇒ Perpendicular² = 209
⇒ Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet
Hence, the height of the building = 14.5 feet.
write the equation in slope-intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x+12
Answer:
[tex]y = -\frac{2}{3}x - 7[/tex]
Step-by-step explanation:
Given
[tex]Point = (6,-11)[/tex]
[tex]Equation: y = -\frac{2}{3}x + 12[/tex]
Required
Determine the equation of the point
First, we need to determine the slope of the point.
Since the point is parallel to the given equation, then they have the same slope (m).
The general form of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = -\frac{2}{3}[/tex]
The equation of the point in slope intercept point is:
[tex]y -y_1 = m(x-x_1)[/tex]
Where
[tex]m = -\frac{2}{3}[/tex]
[tex](x_1,y_1) = (6,-11)[/tex]
Substitute these values in the equation:
[tex]y - (-11) = -\frac{2}{3}(x - 6)[/tex]
[tex]y +11 = -\frac{2}{3}(x - 6)[/tex]
[tex]y +11 = -\frac{2}{3}x + \frac{2}{3}*6[/tex]
[tex]y +11 = -\frac{2}{3}x + 4[/tex]
Subtract 11 from both sides
[tex]y = -\frac{2}{3}x + 4-11[/tex]
[tex]y = -\frac{2}{3}x - 7[/tex]
PLEASE HELP I WILL GIVE YOU A BRAINLIEST! During a basketball game, Tom attempted 25 shots and made 9. He says he made 40% of the shots he took. Is Tom correct? Explain your reasoning using complete sentences.
Answer:
Correct I think
Step-by-step explanation:
9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.