Answer:
n = -3
Step-by-step explanation:
distribute
27n + 108 + 18n = 7n - 126 - 40n
combine
45n + 108 = -33n - 126
add 33n to both sides and subtract 108 to both sides
78n = -234
divide by 78
n = -3
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 315 miles per hour.
Given:
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.
Pilot's speed in still air is 315 miles per hour.
To find:
The speed of the wind.
Solution:
Let the speed of wind be x miles per hour.
Speed with wind = 315+x miles per hour
Speed against wind = 315-x miles per hour
We know that,
[tex]Time=\dfrac{Distance}{Speed}[/tex]
According to the question,
[tex]\dfrac{450}{315+x}=\dfrac{360}{315-x}[/tex]
Divide both sides by 90.
[tex]\dfrac{5}{315+x}=\dfrac{4}{315-x}[/tex]
By cross multiplication, we get
[tex]5(315-x)=4(315+x)[/tex]
[tex]5(315)-5x=4(315)+4x[/tex]
[tex]5(315)-4(315)=4x+5x[/tex]
[tex](5-4)315=9x[/tex]
Divide both sides by 9.
[tex]\dfrac{(1)315}{9}=x[/tex]
[tex]35=x[/tex]
Therefore, the speed of wind is 35 miles per hour.
(y - 2)2 = y2 – 6y + 4
Is this statement true or false?
==============================================
Explanation:
I'm assuming you meant to type out
(y-2)^2 = y^2-6y+4
This equation is not true for all real numbers because the left hand side expands out like so
(y-2)^2
(y-2)(y-2)
x(y-2) .... let x = y-2
xy-2x
y(x)-2(x)
y(y-2)-2(y-2) ... replace x with y-2
y^2-2y-2y+4
y^2-4y+4
So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4
--------------------------
Another approach is to pick some y value such as y = 2 to find that
(y-2)^2 = y^2-6y+4
(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2
0^2 = 2^2 - 6(2) + 4
0 = 4 - 6(2) + 4
0 = 4 - 12 + 4
0 = -4
We get a false statement. This is one counterexample showing the given equation is not true for all values of y.
What’s the area for this shape??????
Answer:
40cm²
Step-by-step explanation:
The formula of a trapezium is: A=1/2(a+b)h
The values are: a=6, b=10 and h=5
Therefore, to calculate the area: A=1/2(6+10)5
Hence, the area of the trapezium is A=40cm²
first correct answer will get brainliest
Solve: 3(5-2 ) +I-5I = ?
7
15
4
14
Answer:
14
Step-by-step explanation:
when you multiply and do the absolute value thats what you get
A 26-by-27-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. Find the width of the margins if the printed area is to be 360 in2.
Answer:
Step-by-step explanation:
Let the width of the margins as x.
So, we subtract 'x' width on each side of the paper.
So, length = 26-x-x= 26-2 x
Width = 27-x-x=27-2 x
Now, it is given printed area is 360
We can set up equation using length x width = Area
(26-2 x)(27-2 x) = 360
Multiply the left side using FOIL method,
702 -52 x-54 x+4 x^2 =360
Combine like terms
702-106x+4x^2=360
Subtract both sides 360
4x^2-106x+342 =0
Let's divide both sides by 2 to simplify
2x^2 -53x+171=0
Let's use quadratic formula to solve.
I'll upload the file for this.
There are two possible values for x.
Approximately x= 22.46 , x=3.76
Here x=3.76 works b
Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25
Answer:
Yo tengo 10 años y eso da 1,190
Step-by-step explanation:
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A.
O B. -
O c.
OD.
Answer: m = 2/5
Step-by-step explanation:
The formula for the slope is m = rise over run = y^2 - y^1 / x^2 - x^2
which makes it 4-2 over 3-(-2) which equals 2/5
Youre answer is 2/5
Answer:
The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.
Step-by-step explanation:
The slope of a line is denoted by m and is calculated using the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here
[tex](x_1,y_1)[/tex] are the coordinates of the first point on line and
[tex](x_2,y_2)[/tex] are the coordinates of the second point on line
Given two points are:
(x1,y1) = (-2, 2)
(x2,y2) =(3, 4)
Putting the values in the formula
[tex]m = \frac{4-2}{3-(-2)}\\m = \frac{2}{3+2}\\m=\frac{2}{5}[/tex]
Hence,
The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.
a =
I need help I’m so confused
Step-by-step explanation:
b=
help me HAHAHAHAHAHAHAHAHAHAHAHHA
Answer:
a = 6
Explantion :
hope this helps!
3. Calculate the simple interest: $1800 at 3% for 3
years
Answer:
$1,962.00
Step-by-step explanation:
Same explanation as the previous problem
brad wants to buy flowers for his friend with $39. The daisies are $1 each and the roses are $3 each. he buys 3 more daisies than roses. how much did the roses cost
Answer:9 roses
12 daisies
Step-by-step explanation:
The swim and diving clubs at Riverdale High School have a total of 55 members and no student is a member of both teams. One-third of the swim team members are seniors and One-fifth of the diving team members are seniors. If there are 13 seniors in the two clubs, how many members does each club have? Let x represent the total number of swim club members and let y represent the total number of diving club members.
The equation that represents the total number of members is
.
The equation that represents the total number of seniors is
.
The diving club has
more members than the swim club.
Answer:
B,C,D
Step-by-step explanation:
Just did it
Answer:
it's B, C, and D
Step-by-step explanation:
What is the slope of the line below?
Answer:
The answer is the green answer choice which is 5/7.
Step-by-step explanation:
Please please please help
Answer:
-4/9
Step-by-step explanation:
-4 x 5 = -20
5 x 9 = 45
so you have -20/45
divide by 5 for both and you get -4/9
Hope this helps!!
NEED HELP PLEASE!!! Lionel created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Lionel drew?
Answer: A.
Y=-2x+16
Step-by-step explanation:
You gotta find the pretty points on the line of the linear function. Then you have to find the slope (rise over run) with those pretty points. Then you have to use a coordinate (I used 6,4) to find the y intercept. Then you solve the equation, by plugging in all the numbers :) hope this helps.
Which of the following points is a solution of y s-Ixl - 1?
O (-1,-3)
O (0,0)
O (1,-1)
Answer: The answer is (-1,-3) :)
Step-by-step explanation:
Mark me as brainlest please
of the 24 students in Michelle's homeroom, of them rode the bus to school. How many
students in Michelle's homeroom rode the bus to school?
For the function below, (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a
minimum value and find that value; and (d) graph the function.
f(x) = -x2 - 6x-4
Answer:
Step-by-step explanation:
f(x) = ax² + bx + c
"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )
axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]
If a > 0 the function opens upward and has minimum value.
If a < 0 the function opens downward and has maximum value.
f(x) = - x² - 6x - 4
(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5
Coordinates of vertex are (- 3, 5)
(b). The axis of symmetry is x = - 3
(c). The given function opens downward
y = 5 is a maximum of a given function.
A baseball team had $250 to spend on supplies. The team spent $46.25 on a new bat. New baseballs cost $2 each. The inequality46.25+2b≤250 can be used to determine the number of new baseballs, b, that the team can purchase.
Answer: 101
[tex]\leq 46,25+2b\leq 250\\\\=> 2b\leq 250-46,25=203,75\\\\<=> b\leq 203,75/2=101,876[/tex]
but b is the number of new baseballs
=> [tex]b\leq 101[/tex]
=> the team can purchase 101 baseballs
Step-by-step explanation:
A contestant on the biggest loser lost 78.8 pounds over a period of two months. At the end of the two month period, the contestant weighed 194.3 pounds. How much did the contestant weigh when the show began?
Answer: The contestant weighed 73.1 pounds when the show began.
Step-by-step explanation:
Given: A contestant lost 78.8 pounds over a period of two months.
At the end of the two month period, he weighed 194.3 pounds.
Initial weight = weight at the end of the two month period + weight lost by contestant
= 194.3 +78.8 pounds
= 273.1 pounds
Hence, the contestant weighed 73.1 pounds when the show began.
:( this is due by the end of the day! 20 points!! right answer please
Answer:
∠c=90°, ∠b=47.5°, a=85°
Step-by-step explanation:
∠c is inscribing a semicercle so is half of the intercepted arc and the whole circle is 360 , half will be 180 and the angle will be 90°
∠b is inscribing a 95°arc so is half of that 95/2=47.5°
arc a is part of a semicircle so is 180-95 =85°
What is the length of the radius of a circle with center (10, -14) that is tangent to the line
x=13?
Answer:
length of radius of a circle = 3
Step-by-step explanation:
a tangent line touches the circle at one point
if the tangent line is at x=13 (vertical line) and the center of the circle is
(x,y) = (10,-14) with its center x at 10; then take the difference to find the radius;
x(tangent line) - x(center of circle) = radius of circle
length of radius of a circle = 13-10 = 3
you can also graph the circle and draw the tangent line to find the radius
The length of the radius of a circle as described in the question is; 14.32
The center of the circle is at; (10, -14)
The line that is tangent to the circle is; x = 13.
The coordinate of a point on the line is therefore; (13, 0)
The length of the radius of the circle can.be obtained from Pythagoras theorem as;
(Radius)² = (13-10)² + (-14-0)²(Radius)² = (3)² + (-14)²(Radius)² = 9 + 196Radius = √205Radius = 14.32Read more:
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pt2 please I will give you brainliest :/
Answer:
I know that number four is A because the x repeats
Answer: The answer is that number four is A because the x repeats. (For both numbers.)
Step-by-step explanation:
Carmen opened a bank account with
$450. Each week she deposits $60.
Write an equation to represent this situation.
60x+y=450
y=-60x+450
Oy=60x+450
y=450x+60
Which statement describes the y-intercept of the graph of a proportional relationship?
Choose the correct answer below.
A.
The line intersects the y-axis of the graph above the origin.
B.
The line intersects the y-axis of the graph at the origin.
C.
It is greater than the x-intercept of the line.
D.
It is equal to the x-intercept of the line.
Answer:
B i worked out all of them and only b can fit
The line intersects the y-axis of the graph at the origin. The correct option is B.
What is a Proportional Relationship?A proportional Relationship is when a variable is in direct variation to another variable such that on increasing one the other proportionally increases.
The equation for a proportional relationship is
y ∝ x
y =kx
where k is the proportionality constant
The equation of a straight line is y = mx +c
here c is the intercept on the y-axis
Comparing the two equations, this can be confirmed that
c = 0
Therefore, the line intersects the y-axis of the graph at the origin.
The correct option is B.
To know more about Proportional Relationship
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#SPJ2
also rented a truck for one day. there was a base fee of 20.99, and there was an additional charge of 85 cents for each mile driven. aldo had to pay $210.54 when he returned the truck. for how many miles did he drive the truck?
Answer:
223 mile
Step-by-step explanation:
i will give brainlist
Answer:
oml not u making me do math
Step-by-step explanation:
not u making me do math
Jerry and Jo are making brownies for the bake sale.
Each pan of brownies will be cut into 18 rows with 12 brownies per row.
They plan to make 12 pans of brownies.
Choose Yes or No to tell if the equation shows the number of brownies they will make.
(12 x 18) ~ 12 = b
18 * (2 x 12) = b
18 x 12 = b
12 x (12 * 18) = b
Answer:
Yes
12 * (12 * 18) = b will give the total number of brownies to be made
Step-by-step explanation:
Here, we want to select which of the equations will give the number of brownies to be made
The total number of brownies is b
For each pan, we have 18 rows , with 12 per row
So the total number of brownies per pan is 12 * 18
Since they are making 12, the total number of brownies b will be;
12 * (12 * 18) = b
Decrease 125 by 40% maths assignment
Answer:
75
Step-by-step explanation:
125 × 0.40 = 50
125 - 50 = 75
Decrease number by 40% of its value.
Percentage decrease = 40% × 125
New value
125 - Percentage decrease
125 - (40% × 125)
125 - 40% × 125
(1 - 40%) × 125
(100% - 40%) × 125
60% × 125
60 ÷ 100 × 125
60 × 125 ÷ 100
7,500 ÷ 100
=75
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN!!A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
Answer:
the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.
Step-by-step explanation:
i know things
Answer:
the answer is A
Step-by-step explanation:
The chemical element einsteinium-253 naturally loses its mass over time. A sample of an einsteinium-253 had an initial mass of 540 g when we measured it. The relationship the elapsed time T in months and the mass m(t) in grams left in the sample is modeled by the following function m(t)=540•(1/8)^t/2.05 complete the following sentence about the rate of change in the mass of the sample
Answer: The sample loses 7/8 of its mass every 2.05 months.
Step-by-step explanation:
I got it right on khan academy