Answer:
The strip would be 2 ft wide
Step-by-step explanation:
Let the strip be x ft long
since it is on either sides, it will take a space each of 2x
So the dimensions of the rug will be;
(8-2x) and (12-2x)
The product of these will give the area of the rug
We have this as;
(8-2x)(12-2x) = 32
96-16x-24x + 4x^2 = 32
4x^2-40x + 96-32 = 0
4x^2 -40x + 64 = 0
x^2 - 10x + 16 = 0
x^2 - 8x - 2x + 16 = 0
x(x-8) -2(x-8) = 0
(x-2)(x-8) = 0
x = 2 or 8
The value 8 will not be possible as it will need to negative dimensions
So the possible dimensions will be;
(8-2(2)) and 12-2(2)
= 8-4 and 12-4
= 4 ft by 8 ft
Which statements describe a cylinder? Select three options.
It has one base.
It has two bases.
It has one lateral face.
It has no lateral faces.
Its lateral face is rectangular.
The statements describe a cylinder are
(i) It has two bases
(ii) It has one lateral face
(iii) Its lateral face is a rectangle
What is cylinder?A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.
What are bases in cylinder?"The top and bottom of a cylinder are called the bases. The height h of a cylinder is the distance between the two bases."
What is lateral face in cylinder?"The lateral surface of an object is defined as the area of all the sides of the object, excluding the area of its base and top. For a cylinder, the lateral surface area is the curved surface that connects the base and the top."
The statements describe a cylinder are
(i) It has two bases
(ii) It has one lateral face
(iii) Its lateral face is a rectangle
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HELP IM LITERALLY SOBBING
Answer: Y= 8x + 2.8
Step-by-step explanation: slope is 8 (think rise over run) and y-intercept seems to be 2.8, heh hope that helped
Answer:
y=1/4x+2.75
Step-by-step explanation:
two coordinates are: (5,4) and (-3,2)
the linear function is y=mx+b
m=slope
b=y-intercept
first, find the slope
the formula to find the slope is y2-y1/x2-x1
2-4/-3-5=
-2/-8=
1/4
Now you know 1/4 is the slope. Plug that into the function
y=1/4x+b
Now find the y-intercept
to do that, take one of your coordinates and plug the x and y values into the function.
I will use (-3,2)
2=1/4(-3)+b
2=-3/4+b
11/4=b
(or 2.75 decimal form)
Plug the y-intercept into the function and you're done
y=1/4x+2.75
What is the measure of angle YZV
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Need help on this please help
Find the coordinates of the midpoint of the line segment that joins the two given points.
(x, y) = (−6, −6) and (x, y) = (5, 4)
HELPPPPPPPP09
Answer:
Midpoint: [tex]\displaystyle (\frac{-1}{2},-1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Endpoint (-6, -6)
Endpoint (5, 4)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{-6+5}{2},\frac{-6+4}{2})[/tex][Fraction - Numerator] Add: [tex]\displaystyle (\frac{-1}{2},\frac{-2}{2})[/tex][Fraction] Divide: [tex]\displaystyle (\frac{-1}{2},-1)[/tex]Convert 77.6% to an
equivalent decimal.
Answer:
0.776 is a decimal number equivalent to 77.6%.
The equivalent decimal for the given percentage is 0.776.
The given percentage is 77.6%.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.
To convert to decimal number divide the given percentage number, we get
77.6% = 77.6/100
= 0.776
Therefore, the equivalent decimal for the given percentage is 0.776.
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Akhil pours a total of 6/2 cups of milk as shown in the model which expression could be used to represent the total cups of milk
Full question:
A recipe calls for 2 cups of milk for every 6 1/4 cups of flour. If you increase the flour to 43 3/4 cups, how many cups of milk will you use?
Answer:
14 cups of milk
Step-by-step explanation:
The question can be rephrased how many 6 1/4 cups of flour can we get in 43 3/4 cups of flour so that we find how many cups of milk required
6 1/4 = 25/4.
Also, 43 3/4 = 175/4
We could now divide 175/4 by 25/4 to get how many 6 1/4 cups of flour are in 43 3/4 cups of flour = 175/4 / 25/4 = 175/4×4/25= 7
This means that we have seven 6 1/4 cups of flour, therefore we require 7×2 = 14 cups of milk (given that we require 2 cups of milk for every 6 1/4 cups of flour)
Mr. Nolan paid $36.95 for each adult shirt and $23.95 for each youth shirt he bought. Mr. Nolan bought 2 adult shirts and 5 youth shirts. How much money did he spend on these shirts
Answer:
$193.65
Step-by-step explanation:
HELP ME PLZZ I AM GIVING 100 POINTS FOR THIS!!
Answer:
12.5% chance. it's a 50% chance each time, which is half, so you divide it in half 3 times, 12.5%.
Step-by-step explanation:
Answer: I hope I'm right
Step-by-step explanation:
12.5%
Which nets can form a prism? Select two options.
Answer is A and B
Answer:
A and B are correct
Step-by-step explanation:
This is due to letter C and D being pyramids
Decrease $250 by 34%
New amount = starting value x (1- percent)
New amount = 250 x (1-0.34)
New amount = 250 x 0.66
New amount = 165
Answer:
85
Step-by-step explanation:
34/100
[tex]34 \div 100 \times 250 = 85[/tex]
elie is now 4 times as old as her son. in 5 years time shes going to be 3 times as old as her son. how old is ellies son now?
Answer:
Her son is 10 years old.
Step-by-step explanation:
Let son be x
Ellie is 4x
In 5 years time: Her son = x + 5
Ellie = 4x + 5
Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)
Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15
x = 10
In one week, a mill worker worked 12,11,13,12,15,16, and 14 hours. Identify the median number of hours worked
Answer: 13
Step-by-step explanation:
First, we have to arrange the numbers in either ascending or descending order.
12,11,13,12,15,16, and 14 hours will then be: 11, 12, 12, 13, 14, 15 and 16.
The median will be gotten using the formula: = (n + 1) / 2
Since there are 7 numbers this will be:
= (n + 1) / 2
= (7 + 1) / 2
= 8/2
= 4th number
Since 13 is the 4th number, it's the median
I really need help what is y=7x+30 and is the relationship increasing or decreasing. please find the slope.
Answer:
The slope is 7 and the relationship is increasing
Step-by-step explanation:
y=mx+b is slope intercept form.
m=slope
7 is in place of m is y=7x+30
7 is positive so the relationship is increasing.
in the pythagorean theorem what are the a and b referred to as
A) Legs
B) Hypotenuse
C) arms
D) Hypothesis
I don’t know what 10+1x2
Answer:
12
Step-by-step explanation:
you start with multiplication so 1×2=2 then add 10 so the answer is 12
Answer:
12
Step-by-step explanation:
1x2=2+10=12
What inequality symbol is in inequality a?
Less than or equal to
Greater than
Greater than or equal to
Less than
I NEED HELP NOW PLS
For every 11 litres of petrol a car can run for 50 km.
How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 228 km?
Answer:
50.2 liters
Step-by-step explanation:
11 liters = 50km
Z liters = 228km
To get the value of Z, cross multiply
228 x 11 = Z x 50
2508 = 50z
Divide both sides by 50
2508/50 = 50z/50
50.16 = z
50.16 has two decimal places, so convert to 1 decimal place by approximation
50.16 = 50.2
Thus, 50.2 liters will be enough for 228km
Given that y varies jointly as x and z, and y = 13 when x = 5
andz=8, find the following:
a. y when x= 4 and z=10
b. x when y= 20 and z = 12
c. z when x=6 and y=15
Step-by-step explanation:
y=kxz
13=k x 5 x 8
13= 40k
K=13/40
a. y=13/40 x 4 x 10
y=13/40 x 40
y=13
b. 20=13/40 x x x 12
20=13/40 x 12x
20=156x
40
20 x 40=156x
800=156x
X=800
156
X=200
39
X=5 5/39
C. 15=13/40 x 6 x z
15=78z
40
15x40=78z
600=78z
Z=600
78
Z=100
3
Z=7 9/13
Ralph walked to the store, a distance of 300 yards, in 5 minutes. How long would it take him to go 1000 yards?
Answer:
BETWEEN 10 and 15
Step-by-step explanation:
15 times a number plus 41 is greater than 6
Answer:
plis spanich no Inglés sorry :/
Answer:
2.3
Step-by-step explanation:
15x + 41 > 6
6-41=35
15x > 35
35/15 = 2.3
Pls help due asap. Please
Answer:
15.73
Step-by-step explanation:
Straight angle is 180 degrees. So the given angles add up to 180.
(6x - 3) + (5x + 10) = 180
11x + 7 = 180
-7 -7
11x = 173
WHOEVER JUST HELPED ME OUT THANKS!!!!
y=9x+3
2x+3y=20
Answer:
no problem
Step-by-step explanation:
to easy
what is the value of the y in this equation. t - 15 = 17
Answer:
32
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
t = 32
Step-by-step explanation:
if t, it's
t -15 = 17
plus 15 both sides ;
t-15+15=17+15
t=32
plus both sides for rid -15
hope it helps ☺️
A scuba diver is 4 2/3 Below the surface of water. She then dives another 2 1/2 feet. How far below the surface Of the water Is the scuba diver
Answer:
7 1/6 feet
Step-by-step explanation:
A scuba diver is 4 2/3 feet below the water.
She then dives another 2 1/2 feet
The total distance of the scuba diver below the water can be calculated as follows
= / - 2 1/2 -(-4 2/3)/
= / - 5/2 + 14/3 /
= / - 43/6/
= 7 1/6 feet
Solve for the missing variable.
1.)
80/120 =2/x
Answer:
x = 3
Step-by-step explanation:
[tex]\frac{80}{120} = \frac{2}{x}[/tex]
Simplify, divide the numerator and denominator by the same number
[tex]\frac{80}{120}\\[/tex]
÷ 40
[tex]\frac{2}{3}[/tex]
[tex]\frac{2}{3} = \frac{2}{x}[/tex]
Cross products
[tex]2x = 2 *3\\2x = 6\\/2 /2\\\\x = 3[/tex]
Cassandra sells merchandise at the local golf course. 35 golf shirts and 60 golf shorts cost $3,017.50 and 68 golf shirts and 180 golf shorts cost 8,149.09.
Answer:
Al bought a sound system that lost a total of $650.00,
and he also bought some CD’s at $9.99 each. The total
that Al spent was $719.93. How many CD’s did Al buy?
[Ignore sales tax.]
1. 650.00 + 9.99n = 719.93
2. 650.00 − 9.99n = 719.93
3. 650.00 × 9.99n = 719.93
4. 650.00 ÷ 9.99n = 719.93
6. 1
In which graph do the plotted points lie on the line y = x
The required cost of each golf shirt and golf shorts is $34.7 and 26.7 respectively.
Given that,
Cassandra sells merchandise at the local golf course. 35 golf shirts and 60 golf shorts cost $3,017.50 and 68 golf shirts and 180 golf shorts cost 8,149.09. To determine the cost of each golf shirt and golf shorts.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
let the cost of each golf shirt and golf short be x and y respectively
Accoding to the question,
35x + 60y = 3017.50 - - - - - - - (1)
68x + 180y = 8149.90 - - - - - - (2)
From equation 1
x = [3017.50 - 60y] / 35 - - - - -(3)
put x in equation 2
we get
y = $34.7
now put this y in equation 3
x = $26.7
Thus, the required cost of each golf shirt and golf shorts is $34.7 and 26.7 respectively.
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0.005680 is how much greater than 0.0004359
Answer:
Answer is: 0.0052441
Answer:
0.0052441
hope it helps.
The lengths of the sides of a triangle are given. State whether the triangle is obtuse,acute, or right:
9ft, 20ft, 14ft
* obtuse
* Right
* acute
Obtuse
Hope this helped!
What's the slope intercept form, simplifying all fractions.
3x +6y = 42
Step-by-step explanation:
Solving
3x + -6y = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
3x + -6y + 6y = 42 + 6y
Combine like terms: -6y + 6y = 0
3x + 0 = 42 + 6y
3x = 42 + 6y
Divide each side by '3'.
x = 14 + 2y
Simplifying
x = 14 + 2y
The slope of the equation 3x +6y = 42 is - 1 / 2.
How to find the slope of an equation?The slope of a line is the change in the dependent variable with respect to the change in the independent variable.
Therefore, the equation a line can be represented in slope intercept form as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
3x + 6y = 42
6y = -3x + 42
divide both sides by 6
y = -3x / 6 + 42 / 6
y = - 1 / 2 x + 7
Therefore, the slope is - 1 / 2.
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