The perimeter of the rectangle given is P = 26x - 62.
What is the perimeter of a rectangle?
The perimeter of a rectangle is the sum of its sides. Mathematically -
Perimeter = [P] = 2(L + B)
Given is a rectangle with its length and breadth.
We can write the perimeter of the rectangle as follows -
[P] = 2(L + B)
L = 5x + 12
B = 8x - 43
Therefore -
P = 2(L + B)
P = 2(5x + 12 + 8x - 43)
P = 2(13x - 31)
P = 26x - 62
Therefore, the perimeter of the rectangle given is P = 26x - 62.
To solve more questions on Rectangles, visit the link below-
https://brainly.com/question/28241100
#SPJ2
Experimental Probability is ___________ .
a . our prediction
b. data from our experiment
Answer:
b
Step-by-step explanation:
data from our experiment.....
Dada la recta L1:x+(m+2)y=n−5 pasa por el punto (1,2) y que es paralelo a la recta L2:3y=2x−4. Determine m+n .
Answer:
-1/2
Step-by-step explanation:
The point slope form of equation of a line is expressed as;
[tex]y - y_{0} = m(x-x_0)[/tex]
m is the slope
(x₀, y₀) is the point on the line
Given
(x₀, y₀) = (1, 2)
Given the equation 3y = 2x - 4
Rewrite the equation
y = 2/3x - 4/3
mx = 2/3x
m = 2/3
The slope is 2/3
Substitute the slope and the point into the formula above
[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]
Compare the expression to x+(m+2)y=n−5
m + 2 = -3/2
m = -3/2 - 2
m = -7/2
Similarly
n - 5 = -2
n = -2 + 5
n = 3
m + n = -7/2 + 3
m + n = -1/2
hence the sum of m and n is -1/2
Solve each inequality.
2s+5> 49
_
Answer: S > 22
Step-by-step explanation:
Answer:
s = 23 and above
Step-by-step explanation:
2s + 5 > 49
-5 -5
2s > 44
44/2
= 22
However, the answer for s is not 22
Since it has this sign > not ≥ then that means s = 23 and above
Check:
2(23) + 5 > 49
46 + 5 > 49
51 > 49
If it takes Laine 4 hours to wash the windows, Leslie 5 hours to wash the same windows, and Lance 6 hours to wash the windows, how long would it take them all working together?
.8 hours
6 hours
1.6 hours
3.2 hours
1/4+1/5+1/6=1/x
LCM = 60
15/60+12/60+10/60=1/x
37/60=1/x
37x=60
x=60/37=1.62, round =1.6
1.6 HOURS
The number of hours they would take them all working together is around 1.6 hours.
What are ratios and proportions?A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.
Given that laine takes 4 hours to complete work
In 1 hour Laine will do 1/4 part of the work.
In 1 hour Leslie will do 1/5 part of the work.
In a 1-hour Lance will do 1/6 part of the work.
so let's suppose all done work by x hours then
1/4 + 1/5 + 1/6 = 1/x
x =1.6 so all together done the work by 1.6 hours.
For more information about ratio and proportion.
https://brainly.com/question/26974513
#SPJ5
Find the area of the following figure. Show your work
On the left, prism A. Prism A is a triangular prism. The base has side lengths of 6 centimeters, 8 centimeters, and 10 centimeters. On the right, prism B. Prism B is a rectangular prism. The base has side lengths of 5 centimeters and 5 centimeters.
Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
For prism A
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:
[tex]10^2 = 8^2 + 6^2[/tex]
[tex]100 = 64 + 36[/tex]
[tex]100 = 100[/tex]
The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)
[tex]Area = 0.5 * 8cm * 6cm[/tex]
[tex]Area = 24cm^2[/tex]
For Prism B
[tex]Lengths = 5cm\ and\ 5cm[/tex]
So, the area is:
[tex]Area = 5cm * 5cm[/tex]
[tex]Area = 25cm^2[/tex]
By comparison, prism B has a larger base area because [tex]25cm^2 > 24cm^2[/tex]
-2x - 5x + 3 - 8 please help
Answer:
-7x - 5
Step-by-step explanation:
Combine like terms.
Does anyone know how to do this because im confused.
Answer:
no but choose b if u don't know it it usually works for me sorry if I don't help :(
Answer:
y=-3x is the bottom right one
y=4x is the top middle
y=x-3 is the top right one
Step-by-step explanation:
state a,b, and the y-intercept then graph the function on a graphing calculator
Answer:
No x-intercepts
y-intercepts: (0,2)
Step-by-step explanation:
Compare each set of rational numbers.
Evaluate x^4.x^2 when x=5
Answer:
i got u fam!!!!!!!!!!!!!!!
its 15625
Step-by-step explanation:
what is the measure of ∠x?
Answer:
58
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
90-32=58
help me with the whole problem plssss i do anything plss.
Answer:
8 people can go
Step-by-step explanation:
Joshua is going to invest $9,000 and leave it in an account for 5 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Joshua to end up with $12,500?
Answer:
Step-by-step explanation:
Answer:
6.6%
Step-by-step explanation:
Khan khan khan khan
Answer:
11
Step-by-step explanation:
it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers
motor =18
garbage=4
18+4=22
bulldosers=11
22-11= 11 more
Answer:
11
Step-by-step explanation:
Somebody know this? thanks
Answer:
4 right angles
Step-by-step explanation:
a straight light intersects another straight line= creating 4 right angles
HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot
Answer:
They are both correcte
Step-by-step explanation:
Imagine a pizza with 6 slices
Half of 6 slices is 3 slices, or 3/6
If you simplify 3/6, you will get 1/2
So, both fractions are equal, but in different forms.
For better context see images below!
Guided Practice
Find the square.
(c + 1)2
A.
c2 + 1
B.
c2 + c + 1
C.
c2 + 2c + 1
Answer:
C
Step-by-step explanation:
(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1
Which of the following points is not an ordered pair for the function
ƒ(x ) =5/2 x + 6?
(4, 16)
(2, 7)
(-2, 1)
Answer:
(2, 7) is not an ordered pair for the function.
Step-by-step explanation:
A skyscraper that stands 620 feet cast of shadow that is 125 feet long. What is the ratio of the shadow to the height of the skyscraper?
What is the probability of selecting an orange candy
Answer:
how many colors are there and how many of each color?
Step-by-step explanation:
Probability of an event is the measurement of its chance of occurrence.
The probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered random experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
How to convert percent to probability?Percent counts the number compared to 100 whereas probability counts it compare to 1.
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in probability)
The probability of selecting an orange candy depends on how many candies are there.
If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100% because then n(E) = 1 and n(S) = 1 where
E is event of selecting one orange candy from only 1 candy availablen(E) = count of ways E can be done = 1n(S) = number of ways 1 candy can be selected from only 1 candy availableThus, the probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%
Learn more about probability here:
brainly.com/question/1210781
PLSS HELPP D: WILL MARK BRAINLIEST :D
Answer:
√49
Step-by-step explanation:
It's a perfect square root.
Please brainliest ;)
three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?
Given:
Three line segments have measures of 4 units, 6 units, and 8 units.
To find:
Will the segments form a triangle?
Solution:
We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.
Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.
The sum of two smaller sides is
[tex]4+6=10[/tex]
[tex]4+6>8[/tex]
Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.
PLZ HELP IM BEING TIMED GIVING BRAINLIEST
Using the square root property solve (a - 10)² = 121
Answer:
21
Step-by-step explanation:
We know that the sqaure root of 121 = 11.
So, A - 10 = 11
=> A = 21
Answer:
a = -1 or a = 21
Step-by-step explanation:
take square root of each side to get:
a - 10 = [tex]\sqrt{121}[/tex]
a - 10 = 11; a = 21
a - 10 = -11; a = -1
The total weight of all the students in a class is 3,159 lb. The mean weight of the students is 117 lb. How many students are there in the class?
Answer:
27
Step-by-step explanation:
You do 3159 ÷ 27
Comes out to 27
I found 27 by just plugging in numbers.
Hope this helps
Answer:
There are 27 students in the class.
Step-by-step explanation:
Since the total weight is 3,159 and the average weight is 117lb, you can just divide 3,159 by 117, which will give you 27.
Solve the following exponential equations
Answer:
x = 2, y = - 25
Step-by-step explanation:
(1)
note that 36 = 6² , then
[tex]6^{x}[/tex] = 6²
Since bases on both sides are equal then equate the exponents
x = 2
------------------------------------------
(2)
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 25 = 5² , then
[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]
Then
[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]
Since bases on both sides are equal then equate the exponents
22 + 6y = 5y - 3 ( subtract 5y from both sides )
22 + y = - 3 ( subtract 22 from both sides )
y = - 25
plssssssss help solve
Answer:
cosine = adjacent/hypotenuse
cos A = 20/29 (choice: yellow)
Step-by-step explanation:
Answer:
yellow
Step-by-step explanation:
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answer:
the yield is 7.68%
Step-by-step explanation:
The calculation of the yield is given below:
we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
Here we divide the annual dividend by the price per share in order to determine the yield
hence, the yield is 7.68%
And, the same would be considered
PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?
Answer:
D)
Step-by-step explanation:
It looks like the most sense
Solve the equation using either addition or substitution. Show all your work
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)