Answer:
The value of n = 4 and
The value of x = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Method I:
As given, 12x -20=n (3x-5) .........(1)
Firstly , take 12x - 20
As 12x - 20 can be written as 4(3x - 5)
∴ equation (1) becomes
4(3x - 5) = n (3x-5)
Divide the equation by (3x-5) , we get
4 = n
Method II:
As given, 12x -20=n (3x-5)
⇒12x - 20 = 3nx - 5n
⇒12x - 3nx = 20 - 5n
⇒3x(4 - n) = 5( 4 - n)
Divide the equation by (4-n) , we get
3x = 5
⇒ x = [tex]\frac{5}{3}[/tex]
∴ we get
n = 4 and x = [tex]\frac{5}{3}[/tex]
Now, check that value of n and x satisfies the equation or not
12([tex]\frac{5}{3}[/tex]) - 20 = 4( 3([tex]\frac{5}{3}[/tex]) - 5)
⇒4(5) - 20 = 4(5 - 5)
⇒20 - 20 = 4(0)
⇒ 0 = 0
Hence , we get
The values of x and n satisfies the equation
so, we get
n = 4 and x = [tex]\frac{5}{3}[/tex]
x-3y=7
2х-6у=12
Solve the following systems
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.
Answer:
Step-by-step explanation:
4.3 °F > 4 1/4 °F
Solve.
3/5x - 7 = 23
A. x = 40
B. x = 45
C. x = 50
D. x = 55
Answer:
(C) x=50
Step-by-step explanation:
[tex]\frac{3}{5 }x -7=23[/tex]
[tex]\frac{3x}{5} -7=23[/tex]
[tex]\frac{3x}{5} -7+7=23+7[/tex]
[tex]\frac{3x}{5}=30[/tex]
[tex]3x=30* 5[/tex]
[tex]3x=150[/tex]
[tex]x=50[/tex]
Answer:
(C) X = 50
Step-by-step explanation:
(3/5)*x-7 = 23 // - 23
(3/5)*x-23-7 = 0
3/5*x-30 = 0 // + 30
3/5*x = 30 // : 3/5
x = 30/3/5
x = 50 (Sorry if it's wrong)
A store purchases baseball hats from two different manufacturers in 3 different colors, summarized
below. One hat is chosen at random. Give your answer as a decimal out to at least 4 places.
Black Blue Red Total
Manufacturer A 23 21 29 73
Manufacturer B 27 17 10 54
Total 50 38 39 127
х
a) Find the probability that the hat was was Black or was from Manufacturer A. 0.3150
O 0.78740157480315
b) Find P(Red).
c) Find P(Manufacturer B and Red),
d) Find P(Manufacturer B or Red).
Answer:
See below
Step-by-step explanation:
a)
P(A or Black) = (73 + 27)/127 = 100/127 = 0.7874015748
b)
P(Red) = red/total = 39/127 = 0.30708661417
c)
P(Manufacturer B and Red) = (B and red)/total = 10/ 127 = 0.0787401575
d)
P(Manufacturer B or Red) = (B or red)/total = (54 + 29)/127 = 0.65354330708
Write each percent as a fraction in simplest form.
12%
find the rate of change /slope between its ordered pairs
(-5,13) and (1,1)
(-5,14)and (12,-21)
(1,1)and(12,-21)
Answer:
1.) -2
2.) -2
3.) -3
Step-by-step explanation:
Since we can't make a graph, we can make a table
(-5,13) and (1,1)
x y
-5 13
1 1
From 13 to 1, you subtract 12 ( y-section)
From -5 to 1, you add 6 (x-section)
Now we can do y/x
y/x = 12/6 = -2
The slope for this first one is (-2).
(-5,14) and (12,-21)
x y
-5 14
12 -21
From 14 to -21, you subtract 34
From -5 to 12, you add 17
Now we can do y/x
y/x = -34/17 = -2
The slope for this second one is (-2)
(1,1 )and (12,-21)
x y
1 12
12 -21
From 12 to 21, you subtract 33
From 1 to 12, you add 11
Now we can do y/x
y/x = -33/11 = -3
The slope for this third one is (-3)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
thi is due at 9:00 please help
Answer:
-2 -4
Step-by-step explanation:
saying to use 20 letters lol hope that helps
Plz help this one is the last one of the day plz help
9, 3, 1, 7, 1, 44
Mean ??
Mode ??
Median ??
Answer:
Step-by-step explanation:
mean:[tex]\frac{65}{6}[/tex]
mode:1
median:5
Answer:
Mean: 10.83
Mode: 1
Median: 5
Step-by-step explanation:
I did mean as a decimal but you might have to change that if your teacher doesn't prefer it as decimals
which expression are equivalent to this exponential expression
Answer:To create an equivalent expression, you simply need to move the base and exponent to the other side of the fraction line and change the exponent to positive: 1/(24)
Step-by-step explanation:
Find the angle of this sector.
6 cm
NEED ASAP
5 cm
Answer:
x ≈ 68.8°
Step-by-step explanation:
The length of the arc of a sector is calculated as
arc = circumference × fraction of circle , that is
6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex] = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )
2160 = 10πx ( divide both sides by 10π )
68.7549... = x , that is
x ≈ 68.8° ( to 1 dec. place )
Work out the percentage change to 2 decimal places when a price of £110 is
decreased to £98.
Answer:
10.91% decrease
Step-by-step explanation:
98/110 x 100 = 89.090909
100 - 89.0909 = 10.909090 to 2dp is 10.91%
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
4x-y = 7
Answer:
no solutions
Step-by-step explanation:
i guess im
Stella wnats to buy an atlas that costs 510, a novel that costs $8, and a comc that costs $6. She saved 516 from her pocket money. How much
more money does she need to save? What equation is correct?
Answer:
where are the equations
Step-by-step explanation:
m is how much more she needs to save
510+8+6=516+m
m=8
the measure of the angles in a heptagon measure 95 107 132 138 145 and 158 what is the measure of the 7th angle
Answer:
ANSWER:123
Step-by-step its very simple its puttin x+11 is how u get ur answer by adding the numbers close to that one angle
The measure of the seventh angle in the heptagon is 125 degrees.
What is Polygon?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
We are given the measures of six angles in the heptagon, which are:
95, 107, 132, 138, 145, and 158 degrees
Sum of angles in Heptagon is 900 degrees.
To find the measure of the seventh angle, we can subtract the sum of the six known angles from the sum of all the angles in the heptagon:
Measure of the seventh angle = Sum of angles - Sum of known angles
Measure of the seventh angle = 900 degrees - (95 + 107 + 132 + 138 + 145 + 158) degrees
Measure of the seventh angle = 900 degrees - 775 degrees
Measure of the seventh angle = 125 degrees
Therefore, the measure of the seventh angle in the heptagon is 125 degrees.
To learn more on Polygons click:
https://brainly.com/question/28276384
#SPJ2
Raul is 75 ft from the world's tallest totem pole in Alert Bay, Canada. It is 173 ft tall. Raul's eyes are 5 ft from the ground, what is the angle of elevation from his line of sight to the top of the totem pole? Round the the nearest degree.
Answer:
65.9
Step-by-step explanation:
Seth is two-thirds as tall as his father. If Seth is 54 inches tall, how tall is his father?
Answer:
81 inches tall
pls mark me brainliest
Find the surface area of the cuboid shown below
Answer:
Surface area of cuboid = 352 cm
Step-by-step explanation:
Given that:
Height of cuboid = 8 cm
Length of cuboid = 12 cm
Width of cuboid = 4 cm
Surface area = 2lw + 2lh + 2hw
Putting all the values;
Surface area = 2*12*4 + 2*12*8 + 2*8*4
Surface area = 96 + 192 + 64
Surface area = 352 cm
Hence,
Surface area of cuboid = 352 cm
Drag each number to show whether it is equal to 50% , 0.2 , or neither
Answer:
Step-by-step explanation:
50% = 1/2, 0.5
0.2 = 2%
Other = 20%, 20/100, 1/5
Answer:
I put this, Its correct.
Step-by-step explanation:
50% : 1/2, 0.5.
0.2 : 20/100, 20%, 1/5.
Other : 2%
Which inequality represents this situation? The number of students, s, who ride in a bus is less than 30. A. S < 30 B. S > 30 C. S ≥ 30 D. S ≤ 30
Answer:
A.s<30
Step-by-step explanation:
We are given that
Number of students who ride in a bus=s
We have to find the inequality which represents the given situation.
According to question
s<30
A.s<30
It is true.
B.s>30
It is false because s is less than 30
C.[tex]s\geq 30[/tex]
It is false because s<30
D.[tex]s\leq 30[/tex]
It is false because s<30
Option A is true.
miriam's house is 232 feet above the sea level, and silvia's house is 29 feet above sea level. about how many time's higher than sea level is miriam's house than silvia's?
Answer:
Step-by-step explanation:
about 9 because
What is the value of 20+6•5/-2
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
Tanner is picking three varieties of apples at an orchard: Gala, Fuji, and Jazz. Each type of apple has a different cost per pound. He knows that 1 pound of each apple variety would cost a total of $5.16, and that the cost per pound of Jazz apples is the same as the combined cost per pound of the Gala and Fuji apples. Tanner picks 12 pounds of apples, including 3 pounds of Gala and 5 pounds of Fuji, for a total cost of $21.24.
If g represents the cost per pound of Gala apples, f the cost per pound of Fuji apples, and j the cost per pound of Jazz apples, which system of equations represents this situation?
Answer:
2g + 2f = 5.16
7g + 9f = 21.24
Step-by-step explanation:
Let
Gala = g ; Fuji = f ; jazz = j
g + f + j = 5.16 - - - (1)
j = g + f - - - (2)
From (1):
g + f + g + f = 5.16
2g + 2f = 5.16 - - - (3)
Total pound picked by Tanner = 12
3 Pounds of g ; 5 pounds of f
j = 12 - (5 +3) = 4 pounds
3g + 5f + 4j = 21.24 - - - (4)
3g + 5f + 4(g + f) = 21.24
3g + 5f + 4g + 4f = 21.24
7g + 9f = 21.24 - - - - - (5)
this should be the answer for this question!
Which graph represents the function f(x)=-|x|-2?
Answer:
ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).
(0,−2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation: {x|x ∈ R}
For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.
x y
−2 −4
−1 −3
0 −2
1 −3
2 −4
Step-by-step explanation:
Answer:
The answer is C.
I hope this helps you!
A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.
Answer:
198 ft/s speed
99 ft distance
Step-by-step explanation:
Answer:
7.33333ft
Step-by-step explanation:
Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.
~Thanks in advance !
Answer:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Step-by-step explanation:
We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.
First, we will need the distance formula, given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the point on the locus be P(x, y).
So, the distance from P to (0, 2) will be:
[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]
And, the distance from P to (0, -2) will be:
[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]
So sum of the two distances must be 6. Therefore:
[tex]d_1+d_2=6[/tex]
Now, by substitution:
[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]
Simplify. We can subtract the second term from the left:
[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]
Square both sides:
[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]
We can cancel the x² terms and continue squaring:
[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]
We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:
[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]
We can divide both sides by -4:
[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]
Adding 9 to both sides yields:
[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]
And, we will square both sides one final time.
[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]
Distribute:
[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]
The 36y will cancel. So:
[tex]4y^2+81=9x^2+9y^2+36[/tex]
Subtracting 4y² and 36 from both sides yields:
[tex]9x^2+5y^2=45[/tex]
And dividing both sides by 45 produces:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.
Given right triangle XYZ with altitude WZ, let WY = 10 cm and XY = 13 cm. Find the
length of WZ.
A.5.4
B.11.4
C.7.3
D.3
help for last one please
Answer:
the slope is one since the line rises once and runs once
Last Friday Kali had $22.62. Over the weekend she received some money for cleaning the attic. She now has $33.99. How much money did she receive?
Helppppp please. I am stumped..
Answer:
D
Step-by-step explanation:
w = width
length = w + 0.6
A = l · w
A = w (w + 0.6)
A = w² +.6w
Answer:
D
Step-by-step explanation:
w = width
l = length = w + 0.6
Area = ( l ) * ( w )
Area = ( w + 0.6 ) ( w )
Area = w^2 + 0.6w
