Answer:
x = 24
PS = 45
Step-by-step explanation:
Perimeter of P Q R S is :
( 4x + 1 ) + ( 2x - 3 ) + ( 2x - 3 ) + 4 + ( 4x + 1 )
4x + 1 + 2x - 3 + 2x - 3 + 4 + 4x + 1
And in the question , given that the perimeter of this figure is 288.
Now let us find the value of x.
4x + 1 + 2x - 3 + 2x - 3 + 4 + 4x + 1 = 288
4x + 2x + 2x + 4x + 1 - 3 - 3 + 4 + 1 = 288
12x + 0 = 288
12x = 288
Divide both sides by 12
x = 24
And now let us find the value of PS
PS = 2x - 3
PS = 2× 24 - 3
PS = 48 - 3
PS = 45
Hope this helps you :-)
Please help solve this 6r-r+4
Answer:
5r+4
Step-by-step explanation:
Let's simplify step-by-step.
6r−r+4
=6r+−r+4
Combine Like Terms:
=6r+−r+4
=(6r+−r)+(4)
=5r+4
hello can someone help me with this factoring problem? thank you!
If a plane can travel 480 miles per hour with the wind and 420 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
a. The speed of the wind is 30 mph
b. The speed of the plane in still air is 450 mph
Let
V = speed of plane in still air and v = speed of wind.The required equationsSince the plane can travel 480 miles per hour with the wind, we have that
V + v = 480 (1)
Also, the plane travels 420 miles per hour against the wind, we have that
V - v = 420 (2)
a. Speed of the windThe speed of the wind is 30 mph
subtracting equations (1) and (2), we have
V + v = 480 (1)
-
V - v = 420 (2)
2v = 60
v = 60/2
v = 30 mph
So, the speed of the wind is 30 mph
b. Speed of the plane in still air
The speed of the plane in still air is 450 mph
Substituting v into equation (1), we have
V + v = 480 (1)
V + 30 = 480
V = 480 - 30
V = 450 mph
So, the speed of the plane in still air is 450 mph
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Given cos0=3/4 and angle 0 is in Quadrant I, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.
Answer:
sinθ=√7/4
Step-by-step explanation:
Here,
cosθ=3/4
b/h=3/4
b=3 and h=4
Using Pythagoras theorem,
h²=p²+b²
4²=p²+3²
16-9=p²
p=√7
Now,
sinθ=√7/4
HELP ASSAAPPP
The first term of a geometric sequence is 3, and the common ratio is 3.
What is the 7th term of the sequence?
PLEASE FAST, IF YOU AWNSER FIRST YOU WILL GET THAT CROEN THING
Answer:
[tex]a \times b \\ (4y + 12)6x \\ 24xy + 72x \\ = 24x(y + 3)[/tex]
x2−14x−32=0 What are the roots of the polynomial equation?
Answer:
x= - 8/3
Step-by-step explanation:
1- Multiply the monomials
2- Combine like terms
3- Rearrange variables to the left side of the equation
4- Divide both sides of the equation by the coefficient of the variable
5- Cross out the common factor
HELP MEEEEEEE PLSSSSSS
Step-by-step explanation:
[tex] \frac{1}{2} (11ft + 17ft) \times 12ft \\ \frac{1}{2} \times 28ft \times 12ft \\ divide \: 28 \: by \: 2 \\ 14ft \times 12ft = 168 {ft }^{2} \\ answer = 168 {ft}^{2} [/tex]
The stigma is the opening in a flower through which pollen moves to fertilize the eggs. Which characteristic would be most helpful to the stigma in capturing pollen?.
Answer:
having a sticky surface
Step-by-step explanation:
Just took the tests
>
Graph the linear function y = 5. Plot two points and connect them with a line.
graph of the linear function y = 5 is attached below. which is true for all the values of x.
What is a linear function?a function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.
Given a linear function y = 5 here
The graph of that linear function will be a straight line that is attached below.
this function will be the same for all the values of x. since it is not dependent on the variable x
it will pass through points (0, 5), (1, 5), (-6, 5), (5, 5), (-9, 5),.... and so on.
therefore, Below is a graph of the linear function at y = 5. This holds true regardless of x's value.
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PLS help!! This is due tomorrow
Answer:
x = 18
Step-by-step explanation:
So there is two ways, but I'm going with the way I remember
1/6 x = 3
1x/6 = 3 multiply by 1
x/6 = 3 then multiply by 6
x = 18
use the distributive property to rewrite this equation.
11x(3x+4y)
In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
A. 0.74
• B. 0.26
O C. 0.48
D. 0.12
Answer:
D
Step-by-step explanation:
the odds are less than .24 so it must be 0.12
Please help quick !
Answer:
10 A. Quadrent 2
10 B. Quadrent 3
Step-by-step explanation:
Image
your car travels 308 miles on 11 gallons of gasoline. how many miles can it travel with 1 gallon of gas
Answer:
28 miles
Step-by-step explanation:
308/11 = 28 miles per gallon of gas
Help me with this question please this is due today
A spinner is shown.
Red
Violet
Orange
Indigo
Yellow
Blue
Green
The spinner arrow is spun 150 times
Ahout how many times will the spinner arrow stop on Blue or Green?
Answer:
43
Step-by-step explanation:
Total number of different colors = 7
Probability of spinner landing on blue = 1/7
Probability of spinner landing on green = 1/7
Probability of spinner landing on blue OR green = 1/7 + 1/7 = 2/7
if the spinner is spun 150 times,
Number of times spinner will land on green or blue = Probability of spinner landing on blue OR green x 150
= 2/7 x 150
= 42.85714...
= 43 (rounded to the nearest whole number)
Answer:
Approximately 43 timesStep-by-step explanation:
Number of sections is 7
Probability of each section is 1/7
Probability of blue or green:
P(blue or green) = 2*1/7 = 2/7Spinner nun 150 times, number of stops on blue or green:
N = 2/7*150 = 42.86 ≈ 43 (rounded up)Given the net with dimensions below, find the surface area of the shape.
Answer:
184cm^2
Step-by-step explanation:
(5+5+6) * 10 = 160
6*4 = 24
160+24=184
there are 2 triangles so I am assuming they have the same dimensions
Please help me I really need help ?
Answer:
1. 1/5 1/3 4/6
2. 3/5 3/4 7/8
3. 87 nickels
4. 150 minutes
5. 2
6. 3/4
Step-by-step explanation:
1. least to greatest: 1/5 1/3 4/6
2. least to greatest: 3/5 3/4 7/8
3. 1 nickel = 5 cents
So 485 ÷ 5 = 87 nickels
4. Total number of minutes = 50 x 2 = 150 minutes
5. A composite number is a whole number that can be made by multiplying other whole numbers.
3 x 3 = 9 ⇒ composite number
3 x 5 = 15 ⇒ composite number
3 x 7 = 21 ⇒ composite number
Therefore 2 is NOT a composite number (it is a prime number)
6. 6/8 = 3/4
write 8029.85 in scientific notation
rewrite the equation without the exponent
3^-4
[tex]3^{-4}=\dfrac{1}{3^4} =\dfrac{1}{81}[/tex]
A rectangular box is 1m long and 75 cm high. if the volume of the box is 375000cm³,find the width of the box
Answer:
width = 50 cm
Step-by-step explanation:
The volume (V) of a rectangular box is calculated as
V = lwh ( l is length, w is width and h is height )
Since V is given in cm³ then dimensions must be in cm
l = 1 m = 100 cm , then
100 × w × 75 = 375000
7500w = 375000 ( divide both sides by 7500 )
w = 50
the width of the box is 50 cm
On average 113,204 aluminum cans are recycled in a minute. Approximately how many cans will be recycled in 16 days? (Express your answer in scientific notation. ) a. 2. 61 times 10 Superscript 9 aluminum cans b. 4. 35 times 10 Superscript 7 aluminum cans c. 1. 09 times 10 Superscript 8 aluminum cans d. 1. 63 times 10 Superscript 8 aluminum cans.
The number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.
What are Scientific notations?
The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5x 10¹².
Given to us
Average 113,204 aluminum cans are recycled in a minute.
Firstly, in order to find the number of cans that can be recycled in 16 days, we need to find the number of minutes in 16 days. we know that 1 day has 24 hours where each hour has 60 minutes. therefore,
Number of minutes in 16 days = 16 x 24 x 60
Number of minutes in 16 days = 23,040 minutes
As it is given that on an average 113,204 number of cans can be recycled in a minute, therefore,
Total number of can that can be recycled = 113,204 x 23,040
= 2,608,220,160
= 2.6 x 10⁹
Hence, the number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.
Learn more about Scientific notation:
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Mario has gross biweekly earnings of $784. 21. By claiming 1 more withholding allowance, Mario would have $13 more in his take home pay. How many withholding allowances does Mario currently claim? a. 3 b. 4 c. 5 d. 6 Please select the best answer from the choices provided A B C D.
The number of withholding allowances which Mario currently claim for her gross biweekly earnings of $784. 21 is 4.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
Mario has gross biweekly earnings of $784.21. By claiming 1 more withholding allowance, Mario would have $13 more in his take home pay.
The value $784.21 lies between $780 and $800. Here, in the problem, the Mario can claim $13 more in his take home pay.
Form, the table of Federal income tax, the calculated amount will be,
[tex]n=20-7\\n=13[/tex]
Now, again from the table, Mario still claim 4 withholding allowances currently.
The number of withholding allowances which Mario currently claim for her gross biweekly earnings of $784. 21 is 4.
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Write a recursive formula for 14, 9,4, -1, ...
Answer:
Step-by-step explanation:
14 - 5 = 9
9 - 5 = 4
4 - 5 = - 1
................
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 5
Find the 12th term of the geometric sequence 2, -8, 32, ...
The 12th term of the given geometric sequence is equal to -8,388,608.
Given the following sequence:
2, -8, 32, ...What is a geometric sequence?A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.a is the first term of a geometric sequence.Substituting the given parameters into the formula, we have;
[tex]a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304[/tex]
12th term = -8,388,608.
Read more on geometric sequence here: brainly.com/question/12630565
Please help me I need to finish this.
Answer:
10.2
Step-by-step explanation:
I stuck it into a calculator the exact number is ~10.295630141
Can you figure out what the answer is here?
Answer:
Triangle = 10
Circle = 5
Two halves of Square = 2
Fourth answer: 20
Step-by-step explanation:
Figuring out the triangle first is easiest because since 3 triangles make 30, then each triangle must be 10.
Now, we have our second equation become 10 + C + C = 20, and we get C=5 after solving for the value of the circle.
Our third equation will be 5 + S + S = 13, which becomes 5+2S=13, 2S=8, and then S=4, so the value of a square is 4
Our fourth equation will be 10 + 5*(1/2)(4) = ?, and we see that half of 4 is 2, so we have 10 + 5(2) = 10 + 10 = 20 as our answer.
The value of the given expression x + yz will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Let 'x' represents an equilateral triangle, 'y' represent a circle, and 'z' represents the right triangle. Then the equations are given as,
x + x + x = 30
3x = 30
x = 10
x + y + y = 20
10 + 2y = 20
y = 5
y + 2z + 2z = 13
5 + 4z = 13
z = 2
Then the value of the expression is calculated as,
x + yz = 10 + 5 × 2
x + yz = 10 + 10
x + yz = 20
The value of the given expression x + yz will be 20.
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Anyone able to help me with this???? Need it ASAP!! Please and thank youuu
Answer:
(4, -3)
Step-by-step explanation:
Rewrite equations:
x−2y=10;6x+3y=15
Step: Solvex−2y=10for x:
x−2y=10
x−2y+2y=10+2y(Add 2y to both sides)
x=2y+10
Step: Substitute2y+10forxin6x+3y=15:
6x+3y=15
6(2y+10)+3y=15
15y+60=15(Simplify both sides of the equation)
15y+60+−60=15+−60(Add -60 to both sides)
15y=−45
15y
15
=
−45
15
(Divide both sides by 15)
y=−3
Step: Substitute−3foryinx=2y+10:
x=2y+10
x=(2)(−3)+10
x=4(Simplify both sides of the equation)
Therefore answer: is
x=4 and y=−3
Hope it helps!
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
4 X 3= 12
6 X 3= 18
Please mark as Brainliest
Answer:
12
Step-by-step explanation:
View the question mark as x then cross multiply
18×4= 6×x
72= 6x
x is 12