A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)
Answer:
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]
Step-by-step explanation:
From the information given:
The length of the piece of the wire = 80 cm
When being cut into two pieces;
the length of the first wire = x
Then the length of the second(big) wire will be = 80 - x
However, when each piece is bent to a square shape
The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]
The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]
Area of a square = l² ( where l is the length of the sides)
For the first square
A₁ = [tex](\dfrac{x}{4})^2[/tex]
A₁ = [tex]\dfrac{x^2}{16}[/tex]
The area of the second(big) square is:
A₂ = [tex](\dfrac{80-x}{4})^2[/tex]
A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]
The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]
Pythagorean Therom.What is the length of segment AB?
Answer:
A square + B square = C square
Step-by-step explanation:
Which best describes what forms in nuclear fusion?
a
one smaller, less stable nucleus
b
one larger, more stable nucleus
c
two larger, less stable nuclei
d
two smaller, more stable nuclei
Answer:
I guess Letter B. One Larger, More stable nucleus
It produces nearly all the elements that are heavier than helium..
Answer:
Answer A
Step-by-step explanation:
Edge 2021
The width of a rectangle is 3 feet less than twice the length. Find the length if the
perimeter is 84
Answer:
Your width is 5 feet and your length is 7!!!!!
Step-by-step explanation:
MARK AS BRAINLIEST
Kim purchased a bottle of perfume for $1.50 per .80 ounce. What is the unit cost of the perfume?
p−1=5p+3p−8
Anyone help. Its due at 11:59 pm :( please help
Answer:
p = 1
Step-by-step explanation:
p - 1 = 5p + 3p - 8(collect like terms)
p - 1 = 8p - 8(add 1 on each side)
p = 8p - 7(subtract 8p on each side)
-7p = -7 (divide by -7)
p = 1
A square patio has an area of 136 square feet. How long is each side of the patio to the nearest tenth?
Answer:
11.7
Step-by-step explanation:
Answer:
11.7 feet
Step-by-step explanation:
Area finds the length times the width (LxW). In other words, area is how long the first side is multiplied by how wide the second side is. If A=LxW, and we know A is 136, then we know that 136=LxW. This alone isn't enough to find L and W. However, we do know that the patio is a square. Squares have equal sides, so L and W will be the same number. Basically, you need to find the number that equals 136 when it's multiplied by itself. X multiplied by X needs to be 136. You can do this easily with a calculator, if you're allowed to have one. just use the square root function on 136, and be sure to round your answer. If you're not allowed to use a calculator, it's a bit more trial-and-error. Try to see what numbers multiplied by themselves get close to 136, and narrow it down from there (ex. if 11 is too little and 12 is too much, the answer is between 11 and 12). You can also look up video tutorials for how to find a square root without a calculator, or use other study platforms. I hope this helps, and feel free to ask me any questions!! :)
1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?
Answer:
224,000
Step-by-step explanation:
annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer
What is the solution to the system of equations?
{x=2y+3
{4x-5y=9
Answer:
(1,-1)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).
7y−4(9/4y−6). simplified
Answer:
−2y+24
Step-by-step explanation:
Let's simplify step-by-step.
7y−4(9/4y−6)
Distribute:
=7y+(−4)(9/4y)+(−4)(−6)
=7y+−9y+24
Combine Like Terms:
=7y+−9y+24
=(7y+−9y)+(24)
=−2y+24
5,2,-1,-4,-7 arithmetic
what does x equal to?
Answer:
156
Step-by-step explanation:
180-24-3=156
I need help ASAP please
so the answer is....I think by putting the value 4 for X we get 5/11
Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box h Superscript 10.
What number should Selena put in the box?
Answer:
36 is the correct answer on edge
Step-by-step explanation:
(6h^5)^2 is our expression
1. Break it up:
6 x 6, h^5 x 2
2. Solve
36, h^10
therefore:
36h^10
Answer:
36
Step-by-step explanation:
Solve 8x-3y=14 for y
Answer:
see the photo
Step-by-step explanation:
hope this helps
Madison wants to bake 5 cakes for the church
festival. She needs 1 3/4 cups of flour and 2
1/2 cups of sugar for each cake. How much
sugar will she need for the 5 cakes?
Answer:She will need 12 and 1/2 cups of sugar
Step-by-step explanation:
Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2
what is a quotient of 2.5.
Answer: The number 8 goes into 40 five times, resulting in a final quotient of 2.5.
Step-by-step explanation:
Answer:
Example, the number 8 goes into 20 2.5 times, resulting in a quotient of 2.5
Step-by-step explanation:
Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4
Answer:
m = 4/3
Step-by-step explanation:
Slope of line is given by
m = (y2-y1)/(x2-x1)
where
(x1,y1) and (x2,y2) are the two points on coordinate plane.
__________________________________________
Given points
(4,5) and (7,9)
using the above formula to find slope and plugging in the given points value
we have,
slope m = (9-5)/(7-4)
m = 4/3
Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.
What is 29 multiplied by 84
Answer:
29 x 84 = 2436
Step-by-step explanation:
Help ya girl out with this one please ASAP <3
Answer:
x = 1
Step-by-step explanation:
6x + 6x - 7 = 5
combine like terms
12x - 7 = 5
add 7 to both sides of the equation
12x - 7 + 7 = 5 + 7
12x = 12
divide both sides of the equation by 12
12x/12 = 12/12
x = 1
Answer:
x=1
Step-by-step explanation:
The attachement below.
*Remember: This is combining like-terms and solving 2-step equations*
write the nature of roots of quadratic equation 4x square +4 root3x + 3=0
Answer:
yes right now because dont unable to ask you.
4x+5=6x-7
How do I solve this?
Answer:
x=6
Step-by-step explanation:
4x+5=6x-7
4x-6x=-7-5
-2x=-12
x=-12/-2
x=6
Answer: x=6
Isolate the variable by dividing each side by the factors that don't contain variables
If l is parallel to m find the value of each missing variable
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
b) Write the following numbers in order of size.
Start with the smallest number.
0.054 0.54 0.45
0.405
o
8
Answer:
0
0.054
0.405
0.45
0.54
8
Step-by-step explanation:
i need help with linear functions can anybody help me?
I can help you! Just let me how what the questions are
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.
Answer:
There is no way.
Step-by-step explanation:
4 x 53 = 212.
460 - 212 = 248.
The mininmum adult tickets you would need is 29 but that would go over the capacity
The sum of four consecutive integers is 298. What is the largest integer?
Answer:
largest number =76
Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76
a unit rate is a rate in which the unit in the denominater is?
Answer: a unit rate is a rate with 1
Step-by-step explanation:
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by 910+(−710)+810+(−610)+⋯+310+(−110)+210 9 10 + ( − 7 10 ) + 8 10 + ( − 6 10 ) + ⋯ + 3 10 + ( − 1 10 ) + 2 10 . How much water is in the tank after 15 days? Write your answer as a decimal. gallon(s)
Answer:
The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.
Step-by-step explanation:
The amount of water in the tank after 15 days is given by the series
910+(−710)+810+(−610)+⋯+310+(−110)+210
From the series, we can observe that, if water is added for a particular day then water will be drained the following day.
Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.
Hence, we can complete the series thus:
910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210
To evaluate this, we get
910-710+810-610+710-510+610-410+510-310+410-210+310-110+210
= 1610.0 gallons
Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.
For the fair, the organizers ordered 33 rolls of tickets. Each roll of tickets has 100 tickets. How many tickets were ordered in all?
Answer:
3,300
Step-by-step explanation: 100 times 33 equals 3,300
Answer:
3,300 tickets
Step-by-step explanation:
33 times 100 = 3,300