Answer:
length= 108 feet,
width= 50 feet
Overview of steps:
Define variablesForm two equations using given informationSolve for one variable through substitution/ eliminationSolve for the other variable through substitutionWorking:
Let the length and the width of the rectangle be L and W feet respectively.
L= 2W +8 -----(1)
Perimeter= 2(length) +2(width)
316= 2L +2W
2L +2W= 316
Divide both sides by 2:
L +W= 158 -----(2)
Substitute (1) into (2):
2W +8 +W= 158
Simplify:
3W +8= 158
3W= 158 -8
3W= 150
Divide both sides by 3:
W= 150 ÷3
W= 50
Substitute W= 50 into (1):
L= 2(50) +8
L= 100 +8
L= 108
Thus, the rectangle's length is 108 feet, and its width is 50 feet.
(3x/2y^2)^3
step by step pleaase. im confused on how to solve this
Answer:
The answer is (27x³ ÷ 8y⁶)
Step-by-step explanation:
[tex] (\frac{3x}{2y {}^{2} } ) {}^{3} \\ [/tex]
[tex] \frac{(3x) {}^{3} }{( {2y}^{2}) {}^{3} } \\ [/tex]
[tex] \frac{27x {}^{3} }{8y {}^{6} } \\ [/tex]
Thus, The answer is (27x³ ÷ 8y⁶)
-TheUnknownScientist 72
What is the value of n in the equation 3n 2(n 2) = 9n 12? −4 −2 2 4.
Equation is formed when two equal expressions are equated together with the help of an equal sign '='. The value of n is -4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As the equation is given to us, therefore, the value of the n can be found as,
[tex]3n+2(n+2)=9n+12\\\\3n+4n+4=9n+12\\\\7n-9n=12-4\\\\-2n = 8\\\\n =\dfrac{8}{-2}\\\\n=-4[/tex]
Hence, the value of n is -4.
Learn more about Equation:
https://brainly.com/question/2263981
Find the distance between the points (-1,12) (-1, -3)
Answer:
The distance between -1,12 and -1,-3 is 15
Step-by-step explanation:
Simplify-
Multiply −1 by −1.
√(−1+1)^2 + ((−3) −12)^2
Add −1 and 1.
√0^2 + ((−3) −12)^2
Raising 0 to any positive power yields 0.
√0 + ((−3) −12)^2
Subtract 12 from −3.
√0 + (−15)^2
Raise −15 to the power of 2.
√0 + 225
Add 0 and 225.
√225
Rewrite 225 as 15^2.
√15^2
Pull terms out from under the radical, assuming positive real numbers.
=15
A 9V battery is attached to a hand generator. What prediction best explains what will happen and why?
A hand generator it most likely will provide power to perform wok more efficiently.
A hand generator and a 9v batteryGenerally, A hand generator is a portable device that use energy to do work or increase efficiency of work done.
Therefore,if a 9v battery( a battery is defined as a source of electric power) is attached to a hand generator it most likely will provide power to perform wok more efficiently
For more information on work
https://brainly.com/question/756198
Consider this expression. When and , the value of the expression is
Answer: Do you have a picture of the problem?
So this one makes 0 sense, but it ask for you to: Express as a sum: 15-7
The answer is: " 15 + (-7) " .
_______
Step-by-step explanation:
Here is what to do:
_______
Given: " 15 – 7 " ; Express this as a "sum" :
_______
Note: This given expression is:
" 15 minus 7 "
that is: " 15 – (+7) ;
Note that subtracting a "positive" value;
such as in the very expression given;
is the same value we get when:
adding that particular "negative" value;
→ As such: " 15 – 7 " =
" 15 + (-7) " → which is our answer.
_______
Hope this is helpful to you!
_______
The map of a biking trail is drawn on a coordinate grid.
PLEASE HELP!
The trail starts at P(−2, 2) and goes to Q(5, 2).
It goes from Q to R(5, −5) and then to S(8, −5).
What is the total length (in units) of the biking trail? (1 point)
10
16
17
18
Answer:
17 units
Step-by-step explanation:
See the attached image
Please leave explanation. Brainleist if correct! What is the mean of this data set?
A. 84
B. 85
C. 83
D. 88
the perimeter of a triangle is 31 cm sides #1 and #2 have equal length, while side #3 /is one centimeter shorter than twice the length of side #1. how long is each side?
answers are at down
Step-by-step explanation:
The perimeter of a triangle is 31 cm. Sides #1 and #2 have equal length, while Side #3 is one centimeter shorter than twice the length of Side #1. Let's determine how long each side is: a. Let x represent the length of Side #1. What essential part of this "let" statement is missing? What is the length of Side #2? Side #3? b. Write a mathematical sentence that states that the perimeter is 31 cm. c. Solve the equation you found in part (b) and determine the length of each side. Be sure to label your answers with the appropriate units.
Answer:
8 cm, 8 cm, 15 cm
Step-by-step explanation:
The given relationships between the sides can be used to write an equation. Let s represent the length of side 1. Then side 2 has a length that is also s. Side 3 has length (2s-1). The perimeter is the sum of the side lengths:
s + s + (2s -1) = 31
4s = 32 . . . . . . . . . . collect terms, add 1
s = 8 . . . . . . . . . . divide by 4
(2s -1) = 2·8 -1 = 15
The side lengths are ...
8 cm8 cm15 cmCalculate the circumference and area of this circle.
Answer:
circumference 69.08 area 379.94
Step-by-step explanation:
1. The sum of two numbers is 15 and their product is 54. Find the numbers.
Let x = smaller number.
15 - x = larger number
Step-by-step explanation:
Hope this help
A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doing: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
What was the second most popular activity?
a. reading a book
b. watching television
c. playing video games
d. listening to music
Answer:
i think you forgot to attach the graph
Step-by-step explanation:
The correct answer should be answer "D" (listening to music.) I just had the same question, so I know my answer is right. I hope this helps you. :)
Ms. Arrington has been raising money to take her classroom to the zoo. She has raised $580. The zoo has allowed all the adults to enter the zoo at a flat rate of $75 for all. If each student ticket costs $8.50, what is the maximum number of students allowed to attend the field trip?
SHOW ALL WORK !!!!!!!!!!!!!!!!!!!!!!!!
A. 59 students
B. 61 students
C. 58 students
D. 60 students
Answer:75+8.5X=580
580-75=505
505/8.5=59.4117647059
about 59 students could go
13 A cuboid has a volume of 24 cm. What is its base
area if it has a height of 3 cm?
Answer:
8 cm²
Step-by-step explanation:
Since the Volume of Cuboid = Base Area * Height
Then 24=Base Area * 3
Base Area = 24/3 = 8 cm²
Answer:
8
Step-by-step explanation:
24 = volume
3 = height
24/3 = 8, is the base area.
What is the volume of a sphere with the radius of 9.7 feet, rounded to the nearest 10th of a cubic foot
HELP PLEASE!!!
Solve using elimination-
5x-6y=12 10x-12y=32
Step-by-step explanation:
-6y×-2=+12y
5x×-2=-10x
12×-2=-24
=0
What is the solution (x,y) of the system of equation
Answer:
Step-by-step explanation:
the answer is (10,2) in point form, in equation form it is x=10, y= -2.
2i ² * 3i
what is the answer???
Answer:
12i
Step-by-step explanation:
2i×2i=4i
4i×3i=12i
HELP!!! WILL MARK BRAINLIST!!!
Answer:
4 and 3/5
Step-by-step explanation:
9. If two sides in one triangle are 9 and 21 , then the third side might be
a) 9
b) 11
c) 12
d) 13
Please explain how you got the answer
Answer:
d
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
21 - 9 < x < 21 + 9 , so
12 < x < 30
the only value that satisfies the inequality is 13
6(x + 3) - 9 = 27 solve for x
Answer:
x=3
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
6(x+3)-9=27
6x+18-9=27
6x+9=27
-9 -9
6x=18
/6 /6
x=3
-hope it helps
PLEASE HELP ASAP JUST THE FIRST ONE!!! I WILL MARK BRAINLIEST
Answer:
x = 5, x = 7
Step-by-step explanation:
tangents from an external point to a circle are congruent , then
x² = 12x - 35 ( subtract 12x - 35 from both sides )
x² - 12x + 35 = 0
(x - 5)(x - 7) = 0
equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x - 7 = 0 ⇒ x = 7
1.) Simplify the expression by combining like
terms: a + 2a - 3a.
Answer: 0
Step-by-step explanation:
We can start by factoring out an a from all 3 terms:
= a (1 + 2 - 3)
We can evaluate 1 + 2 - 3 as 0:
= a(0)
Anything multiplied by 0 is 0, therefore 0a = 0.
what's 8 divided by 2/3
Answer:
It's 12
Step-by-step explanation:
8 divided by 2/3 is 12
hope it helps
Answer:
12
Step-by-step explanation:
8 / (2/3) = 8 x (3/2) = 24/2 = 12
Kristin and Julio are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and
packages of gingerbread cookie dough. Kristin sold 9 packages of sugar cookie dough and 9 packages of gingerbread cookie
dough for a total of $162. Julio sold 13 packages of sugar cookie dough and 8 packages of gingerbread cookie dough for a
total of $169. What is the cost each of one package of sugar cookie dough and one package of gingerbread cookie dough?
A packag&of sugar cookie dough: $13, package of gingerbread cookie dough: $5
B. package of sugar cookie dough: $5, package of gingerbread cookie dough: $13
C. package of sugar cookie dough: $10, package of gingerbread cookie dough: $8
D. package of sugar cookie dough: $5, package of gingerbread cookie dough: $20
Is this worded weird or is it just me?
Answer:
It does seem to be worded slightly off
The coordinates of the vertices of XYZ are
X(0, –4), Y(0, 0), and Z(3, 3).
a) Determine the coordinates of the image
of AXTZ after the translation [3, -2].
Answer:
Step-by-step explanation:
Please help me with this question
Answer:
y = -6x + 4
Step-by-step explanation:
=> y = -6x + 4
according to the image drawn the line appears to have landed on the y-axis on the number four and the x-axis on the number -6 so we have to make y the subject of formula
=. y = -6x + 4
Is 4/3 greater than 9/9
Hey there!
Is 4/3 greater than 9/9?”
Well…
4/3
= 4 ÷ 3
= 1.333333333333333
9/9
= 9 ÷ 9
= 1
4/3 > 9/9
Thus, your answer: YES 4/3 is GREATER THAN 9/9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
a + b + c = 4
a² + b² + c² = 10
a³ + b³ + c³ = 22
a⁴ + b⁴ + c⁴ =?
Answer:
80
Step-by-step explanation:
I hope it will be helpful
Thx