The width of the sidewalk is 1.155.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
Given that,
The dimension of the rectangular garden is 8 x 6.
The surface of the new garden is 1/6 th of the original one.
Suppose the width of the side walk is x.
Then, the dimensions of the sidewalk is given as (8 - 2x) x (6 - 2x).
As per the question the following equation can be written for the area of new garden,
(8 - 2x) x (6 - 2x) = (1/6) (8 x 6)
=> 48 - 4x²- 30x = 8
=> 4x² + 30x - 40 = 0
Solve the above quadratic equation to get,
x = -8.655, 1.155
Since the width cannot be negative, the value of x is taken as 1.155.
Hence, the width of the sidewalk of the new garden is 1.155m.
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Translate the sentence into an equation.
Seven less than the product of 2 and a number is 4.
Use the variable c for the unknown number.
Answer
2x - 7 = 4
Step-by-step explanation:
Answer:
2x-7=4
Step-by-step explanation:
seven less is a number minus 7 so __ - 7
a product of a number and 2 is multiplication so 2 * x or 2x therefore 2x-7
is 4 means equals 4 so 2x-7=4
voila
I need this done please help me make my life easier
Answer:
a. 264
b. make it a rectangle by moving the right portion to the left
Step-by-step explanation:
Are the given lines perpendicular? Explain your reasoning.
9. x = 1, y = 0
10. y= -3, y = 2
11. x= -2, y=2
hiii i hope your having a good day! Can someone please help me? Please and Thank you
According to Zoe's bank statement, she has a negative transaction for more than -569 dollars. Which of the following best describes this transaction?
A.
Zoe deposited more than 569 dollars.
B.
Zoe deposited less than 569 dollars.
C.
Zoe spent less than 569 dollars.
D.
Zoe spent more than 569 dollars.
Answer:
Zoe gastó más de 569 dólares.
Step-by-step explanation:
Saludos
the answer would be D, because it says "more than -569 dollars"
2x+x+x+2y+3y+y
[tex]2x+x+x+2y+3y+y[/tex]
Answer:
4x + 6y
Step-by-step explanation:
Answer:
uhm. i dont understand what you put in the question area lol
Step-by-step explanation:
W-1 in an verbal expression
Answer:
1 subtracted from the variable w.
:)
Write the equation 5=10x−5y in slope-intercept form.
Answer:
y=2x-1
Step-by-step explanation:
Isolate the variable y to solve it. You end up with y=2x-1
Steven noticed that there were 72 lights on and 78 lights turned off. Enter the percent of the lights turned on.
The lights which were on was 48%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that there were 72 lights on, and 78 lights turned off.
We need to find the percent of the lights turned on.
So, percentage of something =
= number of thing / total number of the thing x 100%
Here, the number of thing = light on = 72
Total = 72 + 78 = 150
So, the percent of light on = 72 / 150 x 100% = 0.48 x 100%
= 48%
Hence the lights which were on was 48%.
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What is the difference?
X-8/3x - 3x/x^2
Answer:
[tex] \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } \\ \\ \frac{x - 8}{3x} - \frac{3}{x} \\ \\ \frac{x - 8 - 9}{3} \\ \\ \frac{ x - 17}{3x} [/tex]
Answer:
[tex] \\ \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } [/tex]
[tex] \\ = \frac{x - 8}{3x} - \frac{3 {\cancel{x}}}{{ \cancel {x^2} }} [/tex]
[tex] \\ = \frac{x - 8}{3x} - \frac{3}{x} [/tex]
[tex] \\ = \frac{x - 8 - 9}{3} [/tex]
[tex] \\ = \frac{x - 17}{3x} [/tex]
What is GCF of 36,60
and 84
Answer:
12
Step-by-step explanation:
36/12 is 3
60/12 is 5
84/12 is 7
and 3, 5, and 7 cannot be factored anymore thus 12 is the answer
Hope this helps!
Answer:
1
Step-by-step explanation:
PLEASE HELP ME!!!
What is the value of x?
Enter your answer in the box.
x =
Your answer What is the value of x, you didn't specify
Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.
One number is 5 less than twice a number.if the sum of two numbers is 76 what is the smaller number ?
Answer:
the smaller number is 27.
Step-by-step explanation:
set two numbers are a and b
one number is less that twice of a number:
let's say a is 5 less than twice of b
so we have : a=2b-5
sum of the two numbers is 76: we have a+b=76
then we set up the system of equation[tex]\left \{ {{a=2b-5} \atop {a+b=76}} \right.[/tex]
substitude a = 2b - 5 into the second equation
we have,
2b - 5 + b = 76
3b - 5 = 76
3b = 81
b = 27
Since a + b = 76 so a = 49
10 points for this
match each answer to the correct problem
5^2 9
3^-2 16
(1/3)^-2 16
2^4 25
4^2 64
4^-3 81
5^-2 1/25
4^3 1/49
7^-2 1/64
9^2 1/9
Answer:
1254
Step-by-step explanation:
The graphs of all polynomial functions are _______ , which means that the graphs have no breaks, holes, or gaps.
Answer:
continuous
Step-by-step explanation:
continuous functions do not have such properties.
(sinx)(tanx+cotx)
I know it =secx but I don't know how to get to it
9514 1404 393
Explanation:
It is often useful to put everything in terms of sine and cosine.
sin(x)·(tan(x) +cot(x))
= sin(x)·(sin(x)/cos(x) + cos(x)/sin(x))
= sin(x)²/cos(x) +cos(x) . . . . . . use the distributive property*
= (sin(x)² +cos(x)²)/cos(x) . . . . . combine terms over a common denominator
= 1/cos(x)
= sec(x)
_____
* The expression inside parentheses could have been combined to ...
(sin(x)² +cos(x)²)/(sin(x)·cos(x))
Then the sin/sin factors cancel, leaving the expression on line 4.
Ramiro made a drink of mixing 6 tablespoons of chocolate syrup with 24 fluid ounces of milk choose all the mixers that have the same ratio of chocolate syrup to milk as Ramiro drink
if the perimeter of the blanket has to be at least 280 inches is there egnough room for all three of them to cuddle up under the blanket? ( she’s talking about her dogs)
Answer:
hope it helps
Step-by-step explanation:
angle < EDG = 90°
5x + 4x = 90
9x = 90
x = 90/9
x = 10°
which means
5x = 50°
4x = 40°
---------------------------
sice EF and DG are parallel lines
EHD = 40°
DHG is 90°
then HGD = 50°
-----------------------------------------
ED = 64 x2 (2 sides) = 128 inches
DG = 84 x2 (2 sides) = 168 inches
total perimeter = 128 + 168 = 296 inches
and yes. theres enough room for all 3 to cuddle
a store owner has 12 pounds of pasta worth 70cents per pound. She wants to mix it with pasta worth 45cents a pound so that the total mixture can be sold for 55cents a pound. how much of the 45cent pasta must she use
Answer:
Let A be the amount of 45 cents/lb pasta.
45A+70X(12)=55X(A+12
10A=180
A=18lbs
Step-by-step explanation:
Joe is finding the length of a rectangular prism. The volume of the prism is 204 ft3. The width is 3.5 ft, and the height is 5 ft. His work is shown below.
V = l w h. 204 = 3.5 (5) l. 204 = 8.5 l. StartFraction 204 Over 8.5 EndFraction = StartFraction 8.5 Over 8.5 EndFraction l. 24 = l.
What error did Joe make?
He incorrectly substituted into the volume formula.
He added 3.5 and 5 when he should have multiplied them.
He incorrectly divided 204 by 8.5.
He did not make a mistake in finding the length of the prism.
Answer:I think it is B
Step-by-step explanation:
Answer:
He added 3.5 and 5 instead of multiplying them.
Step-by-step explanation:
Find the slope of this line:
2x + 3y = 8
Use the slope-intercept form [tex]y = mx + b[/tex] to find the slope m and y-intercept b.
Slope: [tex] \frac{2}{3} \\ [/tex]
y-intercept: [tex](0, - \frac{8}{3} ) \\ [/tex]
Answer:
see below
Step-by-step explanation:
Ax+By=C the slope is -A/B. in this case A=2 and B=3 so the slope of -2/3
Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the
formula P = -4x² + 8x + 3, where x is the number of units produced per week, in thousands.
How many units should the company produce per week to earn the maximum profit?
Find the maximum weekly profit.
a.
b.
P = -2x^2 + 8x + 2
for maximum P, dP/dx = 0
dP/dx = -4x + 8 = 0
4x = 8
x = 2
The company should produce 2,000 units per week to earn maximum profit.
Maximum profit = -2(2)^2 + 8(2) + 2 = -8 + 16 + 2 = 10
Therefore, the maximum weekly profit is $1,000.
Each new bus carried 66 passengers how many passengers can ride on 85 new buses
Answer:
5,610 people
Step-by-step explanation:
1. If one bus can carry 66 passengers you just do
85 (numbers of buses) x 66 (number of people per bus)
2. The answer is 5,610 people
Answer:
hope it helps
Step-by-step explanation:
66 passengers are carried on one bus
so multiply 66 by 85 which is the number of buses
66*85=5610
Solve-
f (-4) = x^2-x
Answer:
-45
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!
Step-by-step explanation:
make me brainlest, I'll answer that
the sum of 12 times a number, n, and 4 is no more than 190. What are all the possible values of the number?
Answer:
{n:n≤15.5}
Step-by-step explanation:
√First derive the inequality from interpreting the statement,thus 12n+4≤190
√Second, solve the derived inequality ( ie.make n the subject)
√Finally, you'll arrive at the answer as n≤15.5
Therefore the possible values of the variable n is all numbers less than or equal to 15.5
PROOF
For n greater than 15.5
Let's take n to be 20
Therefore from the derived inequality
12n+4≤190
12(20)+4 = 240
Here,240 is greater than 190
Since for n≥15.5 will not satisfy the inequality n≠all numbers more than 15.5
add brackets to make true:
3 x 3 x 4 - 3 = 9
Answer:
3×3×(4-3)=9
Step-by-step explanation:
3×3×1
=9×1
=9
Answer:
3 x 3 x (4 - 3).
Step-by-step explanation:
It is 3 x 3 x (4 - 3) = 9 x 1 = 9.
What is the surface area of each shape?
1.cylinder
r=3 in.
(a) 188.4 square inches
(b) 160.14 square inches
(c) 84.78 square inches
h=7 in.
Answer:
C
Step-by-step explanation:
Because I tried it and got this answer
what is the domain of this radical function
Answer:
D) [-1, ∞)
Step-by-step explanation:
you can put the equation into a graphing calculator
Solve by using substitution
8x - 10y = 4
x = 8
Answer:
y= 6
Step-by-step explanation:
First you substitute in the 8 for x. you then multiply 8 times 8 which equals 64. you subtract 64 from 4 and 64, since it would be the opposite of addition. you would then take the -10y=-60, and you would divide by negative 10 to get y by itself. since negative 60 divided by negative 10 is a positive 6, your answer would be y equals 6.
Janel has 13 bills in her pocket that total $25. The bills are either
bills or 85 bills. How many of each bill does Janel have?
Answer:
1 - $10 bill
10- $1 bill
2- $2 bill
Step-by-step explanation:
