Answer:
The number is:
[tex]n = 40[/tex]Step-by-step explanation:
Let 'n' be the number
Increasing a number by 20% = (n + n×20/100)Decreasing a number by 14% = (n - n×15/100)As the difference between increasing a number by 20% and decreasing the same number by15% is 14.
Thus, the expression becomes
[tex]\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14[/tex]
[tex]n+\frac{n}{5}-n+\frac{3n}{20}=14[/tex]
[tex]\frac{7n}{20}=14[/tex]
Multiply both sides by 20
[tex]\frac{7n}{20}\cdot \:20=14\cdot \:20[/tex]
[tex]7n=280[/tex]
Divide both sides by 7
[tex]\frac{7n}{7}=\frac{280}{7}[/tex]
[tex]n=40[/tex]
Thus the number is:
[tex]n = 40[/tex]Determine whether x^y•x^z=z^18
is sometimes, always, or never true. Explain.
9514 1404 393
Answer:
sometimes true
Step-by-step explanation:
The equation reduces to ...
x^y·x^z = z^18
x^(y+z) = z^18
This is not true in general, but is true for specific cases of x, y, and z. For example,
4^(7+2) = 2^18 . . . . (x, y, z) = (4, 7, 2)
4^(7+0) ≠ 0^18 . . . . (x, y, z) = (4, 7, 0)
The equation is sometimes true.
A group of 5 friends want to buy a flat-screen TV for $210. The tax comes to $15. Write and solve a multiplication equation to find how much money each person should pay if each person pays the same amount.
Answer:
$45
Step-by-step explanation:
In order to create a multiplication equation, we would need to use a single variable that represents the amount that each friend will pay. This can be represented by the variable x. We multiply this variable by the number of friends which should equal the total of the TV with the tax included. Like so...
$210 + $15 = 5x
Now that we have the equation we can go ahead and solve it by adding the total and the tax, and then dividing both sides by 5 in order to isolate x.
$210 + $15 = 5x
$225 = 5x
$45 = x
Finally, we can see that each friend will pay the same amount which is $45
A deep sea diver is at 45 feet below sea level. A helicopter is at 100 feet above sea level. What is the distance between the helicopter and deep sea diver?
Answer:
D = 55 feet
Step-by-step explanation:
Let below sea level is negative direction and above sea level is positive direction.
A deep sea diver is at 45 feet below sea level = -45 feet
A helicopter is at 100 feet above sea level = +100 feet
We need to find the distance between the helicopter and deep sea diver. It can be calculated by simply adding the above data as follows:
D = -45 +100
= 55 feet
Hence, the distance between the helicopter and deep sea diver is 55 feet.
nothing sorry.......
Answer:
ok
Step-by-step explanation:
well thats good
Graph the functions on the same coordinate axis.
[f) =x+ 1
lelx) =x- 6x-7
What are the solutions to the system of equations?
Select each corect answer.
O (1, 2)
o (6, 7)
O(-1, 0)
O(-8, - 7)
(8, 9)
2 3 4 6 7 8 9
Answer:
here you go - (-1,0) and (8,9)
HELP PLS WILL GIVE BRAINLIEST i feel like the answer is either a or b but im too indecisive so idkkk D: pls help and explain, thank you
Answer: it’s C
Step-by-step explanation: ^
Answer:
the domain of f(x) is x > 0
Step-by-step explanation:
mark brainliest
If A = 50 degrees, B = 62 degrees, and a = 4, find b.
Round to the nearest tenth.
Answer:
[tex]b \approx 4.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Pre-Calculus
Law of Sines: [tex]\frac{sin(A)}{a} = \frac{sin(B)}{b}[/tex]Step-by-step explanation:
Step 1: Define
A = 50°
B = 62°
a = 4
Step 2: Solve for b
Substitute [LOS]: [tex]\frac{sin(50)}{4} = \frac{sin(62)}{b}[/tex]Cross-multiply: [tex]bsin(50) = 4sin(62)[/tex]Isolate b: [tex]b = \frac{4sin(62)}{sin(50)}[/tex]Evaluate: [tex]b = 4.61042[/tex]Round: [tex]b \approx 4.6[/tex]Escribe dos numeros cuyo maximo comun divisor sea 210 y que esten entre 10000 y 11000
Let [tex]p[/tex] and [tex]q[/tex] be two numbers, such that
[tex]10000 < 210p < 11000, \quad 10000 < 210q < 11000[/tex]
If [tex]p[/tex] and [tex]q[/tex] have no common factors, the greatest common factor between [tex]210p[/tex] and [tex]210 q[/tex] is obviously 210.
If we divide the inequalities above by 210, we see that
[tex]\dfrac{10000}{210} < p < \dfrac{11000}{210}, \quad \dfrac{10000}{210}< q< \dfrac{11000}{210}[/tex]
And rounding to the nearest integer, we deduce that [tex]p[/tex] and [tex]q[/tex] must be between 48 and 52.
We may pick [tex]p=49[/tex] and [tex]q=50[/tex], because they have no common factors. So, our numbers would be
[tex]210\cdot 49=10290,\quad 210\cdot 50=10500[/tex]
expanded form of 54.98
Which expression represents a positive number? A. -9.8 x (-23.5) B. 9.8 x (-23.5) C. 23.5 x (-9.8) D. -23.5 x 9.8
Answer: Option A
Step-by-step explanation: if we multiply two negative numbers we get a positive result, pls give brainliest
Answer:
A represents a positive number
Step-by-step explanation:
(−9.8) x (-23.5) = 230.3x
At a small airport, 3 out of 27
suitcases are misplaced each day. If 810
suitcases are processed, how many suitcaset
would you expect to be misplaced?
Jack bought a new car. The price of the car was $18,936. He paid $3,000 upfront and got a loan for the remaining balance. If he paid the same amount each month for 4 years (at which point the car is paid off), how much was his monthly payment?
Answer:
Step-by-step explanation:
Given that:
Price of car = $18,936
Upfront paid = $3000
Time taken to pay remaining balance = 4 years
Amount paid per month if the same amount is paid per month
Remaining balance :
($18,936 - $3000) = $15,936
Number of months in 4 years = (12 * 4). = 48 months
Amount paid per month :
$15,936 / 48
= $332
this is a rational equation i don't understand lol
-2 1/4 = 2w
Answer:
[tex]w=-9/8[/tex]
Step-by-step explanation:
We are given the equation [tex]-2 \frac{1}{4} = 2w[/tex]. To solve this equation, we can divide both sides by 2 to get that [tex]w = -2\frac{1}{4} \div 2 = -\frac{9}{8}[/tex].
Answer:
w = - [tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Given
- 2 [tex]\frac{1}{4}[/tex] = 2w ( change the mixed number to an improper fraction )
- [tex]\frac{9}{4}[/tex] = 2w ( multiply both sides by 4 to clear the fraction )
- 9 = 8w ( divide both sides by 8 )
- [tex]\frac{9}{8}[/tex] = w
Write the simplest polynomial function for each set of zeros
Zeros = 2,-2, 4, 1
PLEASEEEEE HELPPPPPPPPPP
9514 1404 393
Answer:
p(x) = x^4 -5x^3 +20x -16
Step-by-step explanation:
If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:
p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)
__
Multiplying these out gives the result in standard form.
The product of the first two factors is a "special product" recognizable as the difference of two squares.
(x -2)(x +2) = x^2 -2^2 = x^2 -4
The product of the last two factors can be found in the usual way. The distributive property applies.
(x -4)(x -1) = x(x -1) -4(x -1)
= x^2 -x -4x +4 = x^2 -5x +4
Then the full polynomial is the product of these partial products:
p(x) = (x^2 -4)(x^2 -5x +4)
= x^2(x^2 -5x +4) -4(x^2 -5x +4)
= x^4 -5x^3 +4x^2 -4x^2 +20x -16
p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form
PLEASEEEEEEE HELPPPPPPPP!!
Answer:
Step-by-step explanation:
hi
Help me classify the triangles by its sides and measuring its angles :)
Answer:
Triangle 1 : isosceles triangle
Triangle 2 : Right Triangle
Step-by-step explanation:
Are the triangles congruent? State why.
Answer:
I think it is Yes, SAS
Step-by-step explanation:
If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?
Answer:
12 hat/scarf outfits
Step-by-step explanation:
If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?
We solve this question using the fundamental counting principle.
This states that:
When we have two events, a and bthe number of ways both events can happen is a × b
From the above question, our two events is
a = 3 old felt hats
b = 4 scarves
Hence, the different hat/scarf outfits can he wear is given as
3 × 4 = 12 hat/scarf outfits
6 + 4x - 9 what is the awnser
Answer:
y = 5
Step-by-step explanation:
4×(x -3y = -6 ) ➡ 4x - 12y = -24
4x -12y - 4x +9y = 9 - 24 ➡ -3y = -15
y = 5 use this value to find x
x - 3×5 = -6
what's the measure of the top left angle in this triangle and whats the measure of the top right angle?
Answer:
where is the image to solve
Step-by-step explanation:
hint: all angles should equal to 180 added up
Becky is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coordinates as given.
A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled.
Drag and drop the correct answer into each box to complete the proof.
The coordinates of point C are (Response area, c).
The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b2, c2) .
The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (Response area, c2).
AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (a+b2,Response area)..
By the definition of midpoint, AE¯¯¯¯¯≅Response area and Response area≅DE¯¯¯¯¯.
Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Give actual answer will give brainliest
Answer:
Read Under
Step-by-step explanation:
Just did the quiz. First one is "a + b"
Second spot put "a+b/2"
Third put "c/2"
Finally put "CE" and then "BE"
A parallelogram is a quadrilateral , In which opposite sided are equal and parallel to each other.
The coordinate of point C are (a + b , c)
The coordinates of the midpoint of diagonal BD are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
AC and BD intersect at point E with coordinates [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
Properties of Parallelogram shown below,
Opposites sides of a parallelogram are equal and parallel to each other. Opposite angles are equal.Diagonals of a parallelogram bisect each other. Each diagonal divides the parallelogram into two congruent triangles.Since, Diagonals of a parallelogram bisect each other. Therefore, point E is the mid point of both diagonal AC and BD.
Let us consider , coordinate of point C are (x, y)
By using mid point formula,
Coordinate of point E = [tex](\frac{x}{2},\frac{y}{2} )[/tex]
[tex](\frac{a+b}{2},\frac{c}{2} )=(\frac{x}{2},\frac{y}{2} )[/tex]
So, [tex]C(x,y)=(a+b,c)[/tex]
E is the point at which both diagonal bisect to each other. Therefore, E is the mid point of both diagonal AC and BD.
So, coordinate of point E are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
Thus, By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
Learn more:
https://brainly.com/question/13251657
y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1, –4)
O no solution
O infinite number of solutions
Answer:
3 no solution
Step-by-step explanation:
I'm a smart man I would know trust me
I have my masters degree
You are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 12 feet and the actual length of your room is 10 feet. Determine the width and length of your room on the blueprint.
Answer:
The width will be 1.5 feet and the length will be 1.25 feet.
Step-by-step explanation:
12/8=1.5
10/8=1.25
como simplifico las fracciones de 14+8
Answer:
Simplificadora de Fracciones
Si dividirmos 14 entre 8 obteremos un entero 1 más una fracción propria 6/8. Así, la fracción equivalente es el NÚMERO MIXTO 1 3/4). La fracción 14/8 es igual a 14÷8 y también se puede expresar por el número decimal 1.75.
Step-by-step explanation:
: A coffee shop spends $408 for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the order, how much will the total cost be
Step-by-step explanation:
A case of paper cups costs $408 / 17 = $24.
5 more cases => 22 cases of paper cups total.
Hence the total cost will be 22 * $24 = $528.
Answer:
$528
Step-by-step explanation:
We find the unit rate of the cost per case.
$408 / 17 cases = $24/case
Each case costs $24.
Adding 5 cases to 17 cases, the order will be for 22 cases.
22 cases * $24/case = $528
Answer: $528
The two-way table below displays information about passengers on a commercial flight.
Passenger Data
First Class
Coach
Checked Bags
10
81
Did Not Check Bags
14
57
What percentage of coach passengers did not check bags? Round to the nearest tenth.
35.2%
41.3%
70.4%
80.3%
The percentage of coach passengers who did not check their bags will be 43.82 %.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.
We have to find the percentage of coach passengers who did not check their bags.
It is found by dividing the total number of passenger bags not checked by the total number of passengers.
=71 / 162 × 100
=43.82 %
Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ6
y^2 + 18y - 41 = 0
Y=
Y=
Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
BF = 24
BH = ?
BH = 2/3 BF
BH = 2/3 24
BH = 16
The blue figure is a translation of the black image. Write a rule to describe the translation.
it has gone up 4 lines and left -2 making it go for a (4,-2)
2 adults for every 24 children and theee are 72 children
Answer:
6 adults
Step-by-step explanation:
72/24= 3 and 3*2=6 adults
Answer:
there are 6 adults
Step-by-step explanation:
24x3=72
2x3=6
Have a great day!
