Given:
The length of a rectangle is 3 inches less than three times its width.
The perimeter of the rectangle is 34 inches.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, the length of a rectangle is 3 inches less than three times its width.
Length of the rectangle = 3x-3
Now, perimeter of the rectangle is
[tex]Perimeter=2(Length + Width)[/tex]
[tex]Perimeter=2(3x-3+x)[/tex]
The perimeter of the rectangle is 34 inches.
[tex]34=2(4x-3)[/tex]
[tex]34=8x-6[/tex]
[tex]34+6=8x[/tex]
[tex]40=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{40}{8}=x[/tex]
[tex]5=x[/tex]
The value of x is 5. So, width of the rectangle is 5 inches.
[tex]Length=3x-3[/tex]
[tex]Length=3(5)-3[/tex]
[tex]Length=15-3[/tex]
[tex]Length=12[/tex]
Therefore, the length of the rectangle is 12 inches and the width of the rectangle is 5 inches.
Can somebody help me please? thank you.
Joe got all three of his sons braces for their teeth altogether he paid $3750 write an equation that could be used to find how much the braces were for each son individually.
Answer:1,250
Step-by-step explanation:
You have to do 3750 Divided by 3 and you get 1,250
which table represents a function?
Answer:
you didn't post the tables
INEQUALITIES PLEASE HELP!!!
The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w = the number of rolls of wrapping paper sold.
Choose Yes or No to tell if each inequality represents a number that would beat the school record.
w ≥ 593 (YES OR NO?)
w > 593 (YES OR NO?)
w ≤ 593 (YES OR NO?)
593 < w (YES OR NO?)
Answer:
The record is 593.
To beat the record you need a greater number:
w > 593Options:
w ≥ 593 NO, it includes 593 w > 593 YES w ≤ 593 NO, it includes 593 and smaller numbers 593 < w YESwhat is 5n+15 in distributive property
Answer:
5(n+3)
Step-by-step explanation:
factor both of them
their common number is 5
divide 5 by each of them
5/5=1
15/5=3
Which best describes the two-dimensional shape created by the cross-section shown on the cylinder?
A.Cirlcle
B.Square
C.Ellipse
D.Rectangle
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation: im just smart
Answer the photo thanks!
Answer:
you are right, 36°
Step-by-step explanation:
angles add up to 180
Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.
Answer: 6.25
Step-by-step explanation:
6•4•(6.25)= 150
Factor"
b(a+1)^2 - 5(a+1)
PLS HELP WILL MARK BRAINLIEST
Answer:
To factor out the following expression you would you would need to remove the (a + 1) term out of the expression, which leads to :
(a+1) (b(a+1) - 5
Step-by-step explanation:
This is the final expression
Does the following represent a function?
PLS HELP WITH MY TESTTTT.... ITS INEQUALITIESSSSSSSSSSS
Answer:
J
Step-by-step explanation:
34.7+6.3 would =41
40.9 cannot be more than 41, so it is not a possible solution
What number has a absolute of 10?
Answer:
10
Step-by-step explanation:
Answer:
10, -10, [tex]\sqrt{100} =10[/tex]
Step-by-step explanation:
id k if you are asking for the absolute value, but I hope this helps.
The width of a rectangle is 7t - 1.5 feet and the length is 1.5t + 5 feet. Find the perimeter of the
rectangle.
Answer:
P = 17t + 7
Step-by-step explanation:
P = 2L + 2w
L = 1.5t + 5
w = 7t - 1.5
P = 2*(1.5t + 5) + 2*(7t - 1.5)
P = 3t + 10 + 14t - 3
P = 17t + 7
Linear Equations Digital Escape! Can you find the slope-intercept equation of each line and type the correct code?
Answer: I can if there’s a picture...
Step-by-step explanation:
Answer: cgia
Step-by-step explanation:
I need help Find the value of c
Answer:
c = 7Step-by-step explanation:
From Thales:
[tex]\dfrac{UW}{VX}=\dfrac{WY}{XZ}\\\\\dfrac9c=\dfrac{27}{21}\\\\c\cdot27=9\cdot21\\\\c=\dfrac{9\cdot21}{27}=7[/tex]
There are 80 Grade 5 students going on a field trip.
Each driver has a van that can seat 6 children.
How many vans will be needed?
Show your work and explain your answer.
Johnny has 196 baseball cards. He has 7 pages to put them on. How many cards should go on each page?
23 baseball cards
33 baseball cards
18 baseball cards
28 baseball cards
Answer:
33
Step-by-step explanation:
Finding missing angles
please help!! i really need it
Answer:
95°
Step-by-step explanation:
The angles have the same degrees
Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?
the first 20 students who arrive at school in the morning
all 20 boys on the swim team
5 students out of each of the 4 homeroom classes
the last 20 people in line for breakfast in the cafeteria
Answer:
5 students out of each of the 4 homeroom classes
Step-by-step explanation:
The most random sample is 5 students out of each of the 4 homeroom classes.
Thus, option (C) is correct.
Selecting 5 students from each of the 4 homeroom classes ensures that the sample represents a diverse range of students from different classes.
This approach helps to minimize bias and increase the randomness of the sample.
The other options, such as selecting the first 20 students who arrive at school or the last 20 people in line for breakfast, may introduce some bias based on the specific circumstances or characteristics of those groups. Selecting all 20 boys on the swim team would also not provide a representative sample of the overall student population.
Thus, option (C) is correct.
Learn more about Random variable here:
https://brainly.com/question/30789758
#SPJ4
-190*(x)483-913+342-4569-(y)94=
Answer:
-91770x - 94y - 5140
Step-by-step explanation:
what is the correct answers ?
Answer:
x = 4 , y = 5.65
Step-by-step explanation:
Makayla has a smart phone data plan that costs $45 per month that includes 2 GB of data, but will charge an extra $20 per GB over the included amount. How much would makayla have to pay in a month where she used 3 GB over the limit? How much would makayla have to pay in a month where she used went over by x GB?
Answer:
65?..................
y=-x + 4 slope = y-intercept =
Answer: y intercept is 4
Step-by-step explanation:
the number + or - after x is the y intercept
Plz help tysm and thx
10+20=2(5+___what that’s all I need help on this please
HELPPP PlEASE !!!
Which equation best represents the function graphed above?
What is this answer -1/2 + 1/10
Answer:
4536363646
Step-by-step explanation:
Solve using quadratic formula.
x2 – 5x – 36 = 0
Please help me ASAP!
1:x={-3,4}
2:x={9,-4}
3:x={-9,4}
4:x={-4,5}
Answer:
2
Step-by-step explanation:
Just use the quadratic formula
Mrs. brown has 8 more boys than girls in her class and has a total of 26 students. Determine how many girls and boys are in the class.
May I please get some help ASAP?
Answer:
There are 9 girls in the class and 17 boys in the class
Step-by-step explanation:
Set up a system of equations where b is the number of boys and g is the number of girls
b + g = 26
b = g + 8
Solve by substitution by substituting g + 8 as b into the top equation
b + g = 26
(g + 8) + g = 26
2g + 8 = 26
2g = 18
g = 9
So, there are 9 girls in the class. There are 8 more boys than girls, so add 8 to this to find the number of boys:
9 + 8
= 17
So, there are 17 boys.
There are 9 girls in the class and 17 boys in the class.
Enter two or moro numbers in the table to create a
histogram
Data
Enter the data to create a histogram. Then check all
that apply
runs
17
1
6
12868
0
The histogram has 1 cluster,
The histogram has 2 clusters,
The histogram has 1 peak,
The histogram has 4 peaks,
The histogram has 0 frequency from 4-5.
Show histogram
Answer:
b The histogram has 2 clusters.
c The histogram has 1 peak.
e The histogram has 0 frequency from 4-5.
Step-by-step explanation:
Answer: rileyayers85 is correct
Step-by-step explanation:
I got the answer right