Answer:
width = 17 meters
length = 28 meters
Step-by-step explanation:
Since we are told that the length is equal to 6 less than twice the width, and we know that the perimeter of a rectangle is calculated by adding all the sides together, then we can create the following formula to calculate both the length (l) and width (w).
l = 2w-6
l + l + w + w = 90 ... substitute l with its formula
(2w-6) + (2w-6) + w + w = 90 ... combine like terms
6w - 12 = 90 ... add 12 on both sides
6w = 102 ... divide both sides by 6
w = 17 meters
Now that we know the width we can plug it into the length formula and solve for the length
l = 2w - 6
l = 2(17) - 6
l = 34 - 6
l = 28 meters
An engineer is designing a building and wants rectangular spaces to maintain a ratio of 2 to 3. For any measurement value x, the length and width of the rectangular spaces can be represented by the functions:
Length: f(x) = 3x
Width: g(x) = 2x
Which function represents the area for any rectangular space in the building?
6x2
6x
3x2
10x
Answer:
An engineer is designing a building and wants rectangular spaces to maintain a ratio of 2 to 3. For any measurement value x, the length and width of the rectangular spaces can be represented by the functions:
Length: f(x) = 3x
Width: g(x) = 2x
Which function represents the area for any rectangular space in the building?
6x2>>>>>CORRECT ANSWER
6x
3x2
10x
Step-by-step explanation:
CORRECT ON EDGE 2021
Answer:
A
Step-by-step explanation:
:)
What is the distance between the two numbers.
Answer
8 is the distance
Step-by-step explanation:
KCC
Keep, Change, Change
-3.8 - 4.2
-3.8 + -4.2
8.0
distance eguals +8
because 4.2 was positive before you did kcc
and it was the largest decimal.
PLEASE GIVE BRAINLIEST!!!!!!!!HELP MY RSM CLASS IS TOMORROW
Graph the lines given by the following equations:
y=3-1/2x
To calculate the y position given an x value, multiply the x value by -2 and subtract 3.
Answer:
switch the equation around so it looks like the slope intercept form
y= Mx + b
Step-by-step explanation:
y=3 - 1/2x
y= -1/2x +3
so when x = 0 you know this line is at 3 on the y axis
make a point on the graph at (0,3)
also you know that when x=6 they y is zero.. so
make a point on the graph at (6,0)
now draw a straight line between those two points on your graph :)
To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph. She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph. At what time will Amanda get to work if she leaves home at 8:30 AM?
Answer:
9:45 AM
Step-by-step explanation:
To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph.
Time (hours) = Distance/speed
Hence, the time she spends cycling = 10mile/12 mph
= 0.8333333333 hour
Converting to minutes:
1 hour = 60 minutes
0.8333333333 hour =
0.8333333333 hours × 60 minutes/1 hour
= 50 minutes.
Hence, she spends 50 minutes cycling
She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph.
The total number of minutes she spends to get to work is calculated as:
(50 + 10 + 15)minutes
= 75 minutes.
It takes Amanda 75 minutes to get to work.
At what time will Amanda get to work if she leaves home at 8:30 AM?
= 8:30AM + 75 minutes
= 8:30 AM + 1 hour 15 minutes
= 9:45 AM
The range of the following relation R{(3,-2), (1, 2), (-1,-4), (-1, 2)} is
Answer:
The range is all the y values.
Therefore, the range is : {-4,-2,2}.....I realize choice c has all the y values listed, however, if u have repeating y values, u only have to list it once.
Step-by-step explanation:
during a summer rainstorm, the temperature dropped from 87 degrees to 69 degrees. how many degrees did the temperature drop? what was the percent of decrease to the nearest whole percent
The expression 4x/5-2x/3 is equvilant to
Answer:
2x/15
Step-by-step explanation:
4x/5 - 2x/3
~Find common denominators
12x/15 - 10x/15
~Subtract
2x/15
Best of Luck!
A standard number cube that is labeled 1 through 6 is rolled 150 times. What is a reasonable prediction for the number of times it will land on a 3 or a 4?
Answer:
100 times
Step-by-step explanation:
Mathematically, the probability of getting a 3 or 4 is the probability of getting a 3 + probability of getting a 4
Probability of getting a 3 = number of 3/total number = 1/6
Probability of getting a 4 = number of 4/total number = 1/6
Thus, the probability of getting a 3 or 4 is 1/6 + 1/6 = 2/3
So the number of times will be probability multiply by number of rolls
= 2/3 * 150 = 100 times
Anil bought a book and a pen . The cost of the pen is 60%the price of the book. The book cost $10.00 more than the pen .How much did she pay for the both items
Answer: She payed 16 dollars for them both.
Answer:
$16.00
Step-by-step explanation:
10% of $10.00 is $1.00. 1x6= 6
10+6 = 16
Solve the equations by modeling. Draw the steps, using circles for the variables and squares for the numbers. 1) Solve 5x−4 = 3x +8. A. Model. B. Perform the step to have variables (circles) on only one side. C. Write the resulting step. D. Perform the step to have the variables (circles) alone on one side. E. Write the resulting step. F. Divide the variables (circles) and numbers (squares) into equal group
Answer:
x = 2
Step-by-step explanation:
Given the expression 5x−4 = 3x +8, we are to solve for the value of x;
Step 1: Collect the like terms so that the variables are on one side and Constants on the other side
5x - 3x = 8-(-4)
5x - 3x = 8+4
Step 2: Evaluate the expression in both sides
5x-3x = 8+4
2x = 12
Step 3: Divide both sides by 2
2x = 12
2x/2 = 12/2
x = 6
Hence the value of x is 2
Kaleb has 45 DVD's in his collection and Eileen has 61. If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month, after how many months will Kaleb and Eileen have the same amount of DVD's?
Answer: After 8 months they will have equal number of DVD's.
Step-by-step explanation:
Given: Kaleb has 45 DVD's in his collection and Eileen has 61.
Let x= Number of months
If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month , then
Total DVD's Kaleb has = 45+4x
Total DVD's Eileen has = 61+2x
When they has equal DVD's , then
[tex]45+4x =61+2x\\\\\Rightarrow\ 4x-2x=61-45\\\\\Rightarrow\ 2x=16\\\\\Rightarrow\ x=\dfrac{16}{2}\\\\\Rightarrow\ x=8[/tex]
Hence, after 8 months they will have equal number of DVD's.
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Answer:
wow
Step-by-step explanation:
i need help plz!!!!!!!!!
Answer:
The second one is the correct answer g(x)=-1/4x-1/4
Step-by-step explanation:
Simplify, multiply and divide rational expressions
Answer:
Where is the problem??
Step-by-step explanation:
PLEASE HELP!!! DUE TOMORROW MORNING!!!! WILL AWARD BRAINLIEST!!
Calculate the ratios in part (d). which one has the highest ratio?
Answer:
a
Step-by-step explanation:
The product of seven and a number increased by five
9514 1404 393
Answer:
7n +5
Step-by-step explanation:
English tends to be ambiguous in statements like this. It is difficult to tell whether we want 5 more than the product, or 7 times the sum. Sometimes punctuation can help make the meaning clear. Assuming the former, a suitable expression is ...
7n +5 . . . . the product of 7 and a number, increased by 5
Emily wants to have her résumé printed. The printing company charges $24.50 for the first 100 résumés, and then a flat rate for each additional 100 résumés. Emily pays $48.50 for 300 résumés. Write a piecewise function that describes this situation. r(x) = and calculate how much is the flat rate for each additional set of 100 résumés after the first 100 résumés are purchased? Please label your answer and round to two decimal places (hundredths) if needed.
Answer:
________{$24.50 if x ≤ 1
r(x) - - - - - {24.50 + f(3 - 2) if x > 1
Flat rate paid for each additional 100 = $12
Step-by-step explanation:
Given that :
Cost of first 100 resume = $24.50
Flat rate for each additional 100 resumes
Total amount paid for 300 resumes = $48.50
Let x = number of sets of 100 resumes
Number of sets of 100 copies = {1, 2, 3}
Since first 100 copies = $24.50
r(x) = cost of printing resume
r(x) = 24.50 if x ≤ 1
Cost of additional 100 equals ;
Let flat rate paid for each additional 100 = f
r(x) = 24.50 + f(3 - 1) if x > 1
________{$24.50 if x ≤ 1
r(x) - - - - - {24.50 + f(3 - 2) if x > 1
The flat rate paid for additional 100 resume ;
(Total amount paid - cost of first 100) / 2
($48.50 - $24.50) / 2
$24 / 2
= $12
Think of a number. Add 5 to it, Subtract 3 and add 5 to it. Tell me your answer and I will tell you the number you chose.
Answer: cookie
Step-by-step explanation:
Answer:
9,999,723,143,213,413
Step-by-step explanation:
In the diagram below
Answer:
C. B. fhxffucfzyhcdzefyhcesr
How would I find the x-intercept and the y-intercept for the equation: 6x+5y=−60?
Answer:
use the slope intercept form of the equation
y = Mx +b
Step-by-step explanation:
6x+5y = -60
5y = -6x - 60
y = (-6/5)x -12
now just plug in zero for x in that above equation ... that will be the y intercept -12
and plug in zero for y and solve for x
0 = (-6/5)x -12
12= -6/5x
(-5/6)(12) = x
-10 = x
Solve for x
(-32) × 7x(-4)=x
Answer: X=0
Step-by-step explanation:
X=0
Simplify ( − 32 ) ⋅ ( 7 x ( − 4 ) ) . Tap for fewer steps... Multiply − 4 by 7 . − 32 ⋅ ( − 28 x ) = x Multiply − 28 by − 32 . 896 x = x Move all terms containing x to the left side of the equation. Tap for fewer steps... Subtract x from both sides of the equation. 896 x − x = 0 Subtract x from 896 x . 895 x = 0 Divide each term by 895 and simplify. Tap for fewer steps... Divide each term in 895 x = 0 by 895 . 895 x 895 = 0 895 Cancel the common factor of 895 . Tap for more steps... x = 0 895 Divide 0 by 895 . x = 0
Write the inequality that would represent the following statements.
All real numbers less than 3
All real numbers at least -5
All real numbers at most 2
All real numbers greater than 7
Answer:
Hi! Can I ask you a question?
A 20 foot ladder leans against a house the base of the ladder is 12 feet from the house. What is the distance from the ground to the top of the ladder?
Answer:
16ft
Step-by-step explanation:
Please see attached diagram depicting the above scenario.
Since the ladder leans against a house, then it forms a right angled triangle while the hypothenus is 20 foot, the distance of the base of the ladder is 12 feet from the house, hence we are required to find the point at which the ladder touches the house I.e height, rep by h.
We will apply Pythagoras theorem to solve the problem.
h^2 = 20^2 - 12^2
h^2 = 400 - 144
h^ 2 = 256
h = √256
h = 16ft
Hence, the distance from the ground to the top of the ladder is 16ft.
Answer:
Answer 16
Step-by-step explanation:
Write the coordinates of each point (A through E) on the graph below in (x,y) form.
Coordinates in (x, y)
Point A ( )
Point B ( )
Point C ( )
Point D ( )
Point E ( )
How many terms are there in this linear polynomial? 2 m - n + 3
Answer:
3
Step-by-step explanation:
A term is any part of the equation that is separate from another part. In the equation, 2m - n + 3, 2m is a term because they are not separate, n is a term, and 3 is a term. I hope this helps and I hope it's not wrong but I don't think it is.
y=1/2√x
y=2x-7
solve by using substitution
Answer:
You can substitute by setting the equations equal to each other.
Use a calculator to solve.
What is the slope of the line that passes through the points (4, 7) and (5,8)? Write
your answer in simplest form.
I need help fast ( there’s no answer choices grade 8)
Answer:
The slope is 1.
Step-by-step explanation:
M = Y2 - Y1
X2 - X2
M = 8 - 7
5 - 3
M = 1
1
M = 1
how do i factor this?
I don't know how to show the work but the answer is:
2(4x^2+3x-2)
The Organic Chemistry Tutor could help if you need to show your work
Let f(x)=3x^2−5x+1 and g(x)=2x^2+7x−6. Find f(x)+g(x).
Is 35% bigger than 1/4?
Answer:
Step-by-step explanation:
yes becaues 1/4 out of a hundred is 25%