Answer:
160
Step-by-step explanation:
one less then four times a number is equal to 9 more then six times the number
Answer:
-5
Step-by-step explanation:
4x - 1 = 6x + 9
4x = 6x + 10
-2x = 10
x = -5
A certain company’s charges for tiling a rectangular room include the cost of the material used and a flat rate for installation. The length of a certain room is 2 feet more than its width, and the company’s charges, in dollars, for tiling the room are 12.5x(x+2) + 400.
Match each part of this expression with what it represents in this context.
Available Responses:
the width, in feet, of the room
the length, in feet, of the room
the area, in square feet, of the room
the cost, in dollars, for tile per square foot
the amount of materials needed to cover the room's floor
the flat rate, in dollars, the company charges for installation
12.5 represents ______
x(x+2) represents _______
400 represents _______
Answer:
12.5- the cost, in dollars, for tile per square foot
x(x+2)- the area, in square feet, of the room
400- the flat rate, in dollars, the company charges for installation
The length and width of the rectangular room is L = x feet , W = ( x + 2 ) feet
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular room be A
Now , the length of the room L = x feet
And , length of a certain room is 2 feet more than its width
The width of the room W = ( x + 2 ) feet
The total charge for tiling the room C = 12.5 x ( x + 2 ) + 400
Now , the area of the rectangular room A = x ( x + 2 ) feet²
So , the width, in feet, of the room = ( x + 2 ) feet
The length, in feet, of the room = x feet
The area, in square feet, of the room = x ( x + 2 ) feet²
The cost, in dollars, for tile per square foot = $ 12.50
The amount of materials needed to cover the room's floor = 12.5 x ( x + 2 )
The flat rate, in dollars, the company charges for installation = $ 400
Hence , the expressions are solved and the area of rectangle is x ( x + 2 ) feet²
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A triangle PQR has coordinates (1, 3), (5, 1) and (3, k) respectively in an
anticlockwise direction).
Find the value of k if the triangle's area is 6 units?
Answer:
k=5
Step-by-step explanation:
steps in attachment
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent
Answer:
9100.09
Step-by-step explanation:
i did the math so this is it
what is the slope of (4,8) and (10,7)
Answer:
The answer is -1 / 6
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1 = m
7 - 8 / 10 - 4 = -1 / 6
Find this in the graph g(-4) =
Answer:
g(-4) = 1
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Function NotationStep-by-step explanation:
What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.
∴ g(-4) = 1
Need help super fast pls help
Answer:
My answer is 8
Step-by-step explanation:
I calculate the area of all the shapes and added them together
the square comes first = the formlula = a to the power of 2 or just L x W = 2 x 2 = 4
The traingles - the formula = the height x base/2 2 x 2 /2 = 2 ( but there are two traingles so) 2 x 2 = 4
add the two shapes areas together = 4+4 = 8
7. Stanley measured his backyard to be 1500 inches long. How long is his backyard in yards?
what is the volume of a sphere with a radius of "60.5" Ft, Rounded to the nearest tenth of a cubic foot?
Answer:
[tex]volume = 927,587.2ft^3[/tex]
Step-by-step explanation:
The equation to find the volume of a sphere is as follows:
[tex]volume = \frac{4}{3}\pi r^3[/tex]
We have a radius of 60.5ft, let's plug this into the equation and solve:
[tex]volume = \frac{4}{3} \pi (60.5)^3 \\volume = 927,587.17\\volume = 927,587.2[/tex]
Therefore, the volume of a sphere with a radius of 60.5ft is 927,587.2ft^3.
Hope this helps!!
- Kay :)
Volume of the sphere is 927587.2 cubic feet (nearest tenth).
What is Volume of the sphere?"A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies."
Formula to find the volume of a sphere
Volume of the sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
V = [tex]\frac{4}{3} \pi (60.5)^{3}[/tex]
V = 927,587.167
Using calculator, we get
V ≅ 927587.2 cubic feet
Hence, Volume of the sphere is 927587.2 cubic feet (nearest tenth).
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Helpppppp me with number 5 pleaseeeeeeeeee
Answer:
16 laps
Since Cheyene ran 16 laps
32-16=16
Stormy ran 16 laps
#CarryOnLearning
Divide 16x3 – 12x2 + 20x – 3 by 4x + 5.
Answer:
[tex]4x^2 - 8x + 15 - \frac{78}{4x+5}[/tex]
Step-by-step explanation:
To solve polynomial long division problems like these, it's helpful to build a long division table. Getting used to building these can make problems like this much simpler to solve.
Begin by looking at the first term of the cubic polynomial.
What would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]16x^3[/tex]? The answer is [tex]4x^2[/tex], since [tex](4x + 5) \times 4x^2 = 16x^2 + 20x[/tex].
This is the first step of our long division, and we write out the start of our long division table like this:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,16x^3 + 20x^2\\[/tex]
On the left is the divisor. On top is [tex]4x^2[/tex]. In the middle is the polynomial we are dividing, and on the bottom is the result of multiplying our divisor by
The next step is to subtract the bottom expression from the middle one, like so:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,0x^3 - 32x^2\\[/tex]
We are left with [tex]-32x^2[/tex]. The next thing to do is to add the next term of the polynomial we are dividing to the bottom line, like this:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\[/tex]
Now we return to the beginning of the instructions, and repeat the process: namely, what would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]-32x^2[/tex]? The answer is [tex]-8x[/tex], and we fill out our long division table like so:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2 - \,\,\,\,8x\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 - 40x\\[/tex]
Once again, we subtract the bottom expression from the one above it, and include the next term of the divisor, like so:
[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+ 15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\[/tex]
And repeat. What do we multiply [tex]4x + 5[/tex] by to get an expression containing [tex]60x[/tex]? The answer is 15. Our completed long division table looks like this:[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\{ }\qquad{ }\hspace{3cm}\,\,\underline{60x + 75}\\{ }\hspace{4.3cm}\,\,-78[/tex]
Now, the expression at the top,
[tex]4x^2 - 8x + 20x + 15[/tex]
is our quotient, and the last number, [tex]-78[/tex], is our remainder.
Hence we arrive at the solution of
[tex]\frac{16x^3-12x^2+20x-3}{4x+5} =4x^2 - 8x + 15 - \frac{78}{4x+5}.[/tex]
What is the absolute value of l-14l
Answer:
14
Step-by-step explanation:
so it means the opposite of negative 14 which is postive 14
hi
i need help!
please and thank you!
Answer: y=0.25
Step-by-step explanation: 1.2 / 4.8 = 0.25
Solve the equation. Leave your answer as an improper fraction. Check your solution: -1/2=-5/18=h
Answer:
cant answer with two equal signs
Step-by-step explanation:
but if u mean
-1/2=-5/18+h that equals h=-2/9
and if u mean
-1/2+-5/8=h it equals h= -7/9
Solving systems of equations mastery test
Answer:
Is there a question?
Step-by-step explanation:
need help pls and thank you
Answer:
y=25x
Step-by-step explanation:
It is a linear equation with a slope of 25
What is the answer? I really need it.
Answer:
B
Step-by-step explanation:
Solve & check. Help with proportion homework problem
Answer:
x = 22
Step-by-step explanation:
We need to find the value of x for the given equation.
[tex]\dfrac{\dfrac{1}{5}}{\dfrac{1}{11}}=\dfrac{x}{10}\\\\\dfrac{1}{5}\times 11=\dfrac{x}{10}[/tex]
Cross multiplying both sides,
[tex]11\times 10=5x\\\\x=\dfrac{11\times 10}{5}\\\\x=11\times 2\\\\x=22[/tex]
So, the value of x is equal to 22.
yesterday, Lin spent 6 7/8 hours doing homework. Morrie did homework for 4/5 the amount of time that Lin did. How many hours did Morrie spend dong homework?
please tell me how you got the answer. thanks!
Answer:
A. 6
B. 6 1/2
C. 5 1/2
D. 7
VIJWPLAYER
Which ordered air is a solution for the equation y = 4.5x?
A. (0, 4.5)
B. (4.5, 1)
C. (2.9)
D. (18,4)
Janice attempted to shoot 42 free throws with a basketball. She made 35 of the free throws. Based on those results what would you estimate the probability to be that she makes the next free throw?
A) .5333
B) .6333
C) .7333
D) .8333
Answer:
Probability = 0.8333...
Step-by-step explanation:
Based on the data, the probability is :
P = number of successes/number of possible outcomes
P = 35 /32 = 0.8333...
which agrees with answer D) in your list
brainliest for answer
Answer:
b=2f+6
b=2*9+6
b=18+6
b=24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
2 x 9 + 6 = 24
The diameter of the raw cookie is 2 1 2 inches. After baking the cookie, the diameter is 5 1 2 inches. By what factor does the cookie expand?
Answer:
[tex]Factor = 220 \%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 2\frac{1}{2}[/tex]
[tex]Final = 5\frac{1}{2}[/tex]
Required
Determine the factor of increment
First, we calculate the percentage increment
[tex]\% Increment = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Final and Initial
[tex]\% Increment = \frac{5\frac{1}{2} - 2\frac{1}{2}}{2\frac{1}{2}} * 100\%[/tex]
Express fractions as decimals
[tex]\% Increment = \frac{5.5 - 2.5}{2.5} * 100\%[/tex]
[tex]\% Increment = \frac{3}{2.5} * 100\%[/tex]
[tex]\% Increment = \frac{3* 100}{2.5} \%[/tex]
[tex]\% Increment = \frac{300}{2.5} \%[/tex]
[tex]\% Increment = 120 \%[/tex]
So, the factor of increment is:
[tex]Factor = 100\% + Increment[/tex]
[tex]Factor = 100\% + 120 \%[/tex]
[tex]Factor = 220 \%[/tex]
Which statement about the quadratic function m(x) = -x2 + 11x - 28 is true?
A. Since m(x) =-(x - 4)(x + 7), the zeros for m(x) are 4 and -7.
B. Since m(x) = -(x - 4)(x - 7), the zeros for m(x) are 4 and 7.
C. Since m(x) = -(x + 4)(x + 7), the zeros for m(x) are -4 and -7.
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.
Answer:
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.
Step-by-step explanation:
Answer:
Step-by-step explanation:
So first you want to take the constants of -x^2 (which would be -1) and -28 and multiply them to get the product of 28.
Since the other constant of 11x is 11, you want to find 2 numbers whose sum give you 11 and whose product give you 28. That would be 4 and 7, because 4 + 7 = 11 and 4 * 7 = 28. But since you have -x^2 you will want to put a negative sign in front of one of your x variables and in front of 4 or 7, so that you still get 11x when you factor it out.
So you would set up the equation like this (-x+4)(x-7) = 0. To make it easier to find the values of x, you could just write it out as -x+4 = 0 and x-7 = 0. Than you solve for x in botn euqations.
Then you would find out that x = 4, 7.
Does this help?
What is the value of z?
117°
Find an equivalent expression 3(2d+2) + 2(2d+5)
PLSSSSS I need help
The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4
thankyouuu
Answer:
10d+16
Step-by-step explanation:
=>3(2d+2)+2(2d+5)
=>6d+6+4d+10
=>10d+16
how many factors does (2x+5) have
Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?
Answer:
24 miles
Step-by-step explanation:
3 hours = 180 minutes
[tex]\frac{4}{y}: \frac{30}{180}[/tex]
y × 30 = 4 × 180
30y = 720
30y ÷ 30 = 720 ÷ 30
y = 24
Solve for the variable:
6f + 21 = -15
6f+21=-15
6f+21-21=-15-21
6f=-36
6f/6=-36/6
f=-6
Answer: f=-6
Step-by-step explanation:
Veronica spent 3/4 hour reading each day for 7 days. In all, how much time did she spend reading?
Answer:
21/4 or 5 and 1/4 hours
Step-by-step explanation:
3/4 times 7 or 7/1