1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
Answers
Step-by-step explanation:
perimeter=2(l+b)
check the picture for more clarification
Related Questions
Jayden drank 2 glasses of water in the morning and 1/2 of a glass in the afternoon. How much water did Jayden drink in all?
Answers
Answer:
2.5 glasses of water
Step-by-step explanation:
Answer:
he drank 2 and a half glasses of water
Step-by-step explanation:
all u have to do is add up 2 and 1/2 to see how much he drank in all
Gina Wilson all things algebra unit 4 homework 3 questions 12-15
Answers
Step-by-step explanation:
the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.
therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.
from there we get really all 4 answers.
the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.
12.
3x + 18 + 7x - 58 + 2x - 8 = 180
12x - 48 = 180
12x = 228
x = 19
angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees
angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees
angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees
13.
8x - 17 + 19x + 4 + 5x + 1 = 180
32x - 12 = 180
32x = 192
x = 6
angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees
angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees
angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees
14.
KL = 9x - 14
LM = 7x - 37
KM = 3x + 23
angle K = angle L
so, the sides LM and KM must be equally long. that gives us
7x - 37 = 3x + 23
4x = 60
x = 15
KL = 9x-14 = 9×15 - 14 = 135-14 = 121
LM = 7x-37 = 7×15 - 37 = 105-37 = 68
KM = 3x+23 = 3×15 + 23 = 45+23 = 68
15.
XY = 13x - 21
YZ = 8x - 6
XZ = x + 4
angle X = angle Z
so, the sides XY and ZY (or YZ) must be equally long. that gives us
13x - 21 = 8x - 6
5x = 15
x = 3
XY = 13x-21 = 13×3 - 21 = 39-21 = 18
YZ = 8x-6 = 8×3 - 6 = 24-6 = 18
XZ = x + 4 = 3+4 = 7
the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answers
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48
Which component is missing from the researcher’s process?
A.
B.
C.
D.
Answers
Answer:
It is B I believe, if not it's you're fault for not putting the choices...
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What value should be placed in the second column for the range 11 – 15?
A: 4, B: 3, C: 5, D: 6
3
5
6
Answers
Answer:
4
Step-by-step explanation:
Find the value of 'y' if 27^y = 9/3^y.
Help me please..
Answers
Answer:
y = 1/2.
Step-by-step explanation:
Note that 27 = 3^3 and 9 = 3^2:
27^y
= (3^3)^y
= 3^3y.
9/3^y
= 3^2/3^y
= 3^(2-y)
So 3^3y = 3^(2-y)
and therefore:
3y = 2 - y
4y = 2
y = 1/2.
Given that:
27^y = 9/3^y
⇛27^y × 3^y = 9
⇛(3^3)^y × 3^y = 9
⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]
⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]
⇛3^(4y) = 9
⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]
.°. 4y = 2
y = 2:4 = 1/2
Hence, the value of y is 1/2.
A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?
Answers
Answer:
$233.82
Step-by-step explanation:
$12.99 a ball times 18 players (12.99x18) equals 233.82$
PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!
Answers
Combined Area Expression:
(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)
= 4(16 + x)(8 + x)
Area:
4(16 + 5)(8 + 5) = 4 * 21 * 13
= 1092 m^2
35,000 is invested at 5% compound interest.What is the interest at the end of three years
Answers
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
Find the quotient. 1,329 ÷ 4
Answers
Answer:
Quotient is basically division.
Step-by-step explanation:
1329/4 is basically
332.25 is the answer
Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.
This is a system of equations
Answers
Answer:
hamburgers - $4.30 hotdogs- $3.50
The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,
5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5
Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
will give brainliest no files will report.
Answers
Help snsnsnansnsnsnsns
Answers
Answer:
answer is 420-69
Step-by-step explanation:
because those numbers are great
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
Answers
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
As a puppy, Cricket weighed 3 3/4 pounds. At her 1-year check-up with the vet, Cricket weighed 12.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answers
8.75lb :)
Explanation:
12.5 - 3 3/4 = 8.75lb
Answer:
8.75lb
Step-by-step explanation:
pls mark brainliest :)
Which equation can be simplified to find the inverse of y = 2x2?
1/y=2x^2
y=1/2x^2
-y=1/2x^2
x=2y^2
Answers
Answer:
D. x = 2y²Step-by-step explanation:
The step in working out the inverse is to swap over the variables.
If we apply same to given equation, we'll have:
y = 2x² → x = 2y²It gives us the option D
Answer:
Option D
Step-by-step explanation:
y=2x²Interchange x and y
x=2y²Hence option D is correct
y²=x/2y=√x/2Which TWO systems of linear equations are solved correctly?
Answers
The detailed answer is in the images I have attached.
Hope it helps you...
Kindly mark as Brainlliest!!!
Accessing logarithmic Matrix..Terminal sequence pairs = 1 0 - 83 - 32 5 - 128
Answers
Answer:
7
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights is 371 tons. What is the weight of each train?
Answers
Answer:
A=464
B=93
Step-by-step explanation:
A+B=557
A-B=371
Solving the two equations simultaneously gives A=464 and B=93
One-half of the sum of a number and 12 is less than 27. What is the number? Write as an inequality.
Answers
Answer:
Call the number we need to find a.
Inequality: (12 + a) ÷ 2 < 27
<=> 12 + a < 54
<=> a < 54 - 12
<=> a < 42
WHAT IS THE AREA OF THE FIGURE BELOW? 8 units. 9 units. 10 units. 12 units.
Sorry, I can't upload the picture so If you know the answer you can tell me.
Answers
Answer:
8
Step-by-step explanation: 6 (half the perimeter). By truial and error, 2 units by 4 units.
Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 10% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
19.3%
Step-by-step explanation:
There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375
0.19375 = 19.3%
{1, 2, 3, 4, 5, ..., 198, 199, 200}
How many members of the set shown above are multiples of 6 but not a multiple of 9?
(I need a faster way of doing this question. Not listing the factors of 6 and 9 one by one.)
Thank you so much. I will give brainliest!!!
Answers
Answer:
22
Step-by-step explanation:
The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.
There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.
__
200/18 = 11 remainder 2
If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.
Answers
Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
|
plz answer this 20 points
Answers
Explanation: These numbers are in absolute value. Therefore, the absolute value of -8 is actually 8, which makes it greater than the absolute value of 7 in this equation.
En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?
Answers
15 students are yet to return for the face to face classes
Given the following parameters
Total number of students in Esteban's classroom = 28 students
If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6
People that are yet to return = 28 - 12.6
People that are yet to return = 15.4
This shows that about 15 students are yet to return for the face to face classes
Learn more here: https://brainly.com/question/19914553
Which statement describes the end behavior of the exponential equation y = 3^x?
A as x -> - ♾ , y -> - ♾
B as x -> - ♾ , y -> 0
C as x - > ♾ , y -> - ♾
Answers
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to
deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to
her starting point?
0-12
O-1
05
7
Mark this and return
Save and Exit
Next
Submit
Answers
Combine Like Terms:
7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard
Answers
Answer:
11M + 2X + 8
Step-by-step explanation:
Hope this helps!! :))
Answer:
11M + 2x + 8
I did the math
it rights tho
y = -7x - 21
What is the slope of this equation and what is the Y intercept.
Answers
Answer:
Slope is -7
Y intercept = -21
Step-by-step explanation:
The equation is Y=mx+b
M is the slope so -7 would equal the slope
B is where your Y- intercept already is so that would equal -21