Answer:
B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).
Step-by-step explanation:
Samuel should is looking to find the area of his basement in order to cover it with carpet.
An area is calculated by multiplying two dimensions (so answers A and D are not it).
Best solution is to divide the area into two large rectangles then ADD them together to get the total area.
The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m). He would have achieved the same result of course, but by going a different way.
How do I graph this equation on a graph
Answer:
The equation is in standard form. You will have to convert it to slope intercept form, which is -0.125x + 3.75 = y
Step-by-step explanation:
s = x and a = y, therefore 0.5x + 4y = 15
0.5x + 4y = 15
0.5x + 4y = 15 first subtract 0.5x
4y = -0.5x + 15 then divide all by 4
y = -0.125x + 3.75 slope intercept form
simplify this expression 6x/9(x+y)
Simplify 6x/9 to 2x/3
2x/3(x + y)
Simplify
= 2x(x + y)/3
I need help ASAP 6b+30
What exactly does the question consist of
6(b+5) would be the factorization
The price of a board game was reduced from $40 to $20. By what percentage was the price of the board game reduced? Show work please
50% because half of 40 is 20
40-20 = 20. 20 divided by 40 = 0.5. Therefore, it was a 50% decrease
The area of a parallelogram is found using the formula bh, where b represents the length of the base and h represents the length of the height. What is the area of a parallelogram that has a base of 10 centimeters and a height of 12 centimeters?
A 1,012 square centimeters
B 120 square centimeters
C 22 square centimeters
D 1,200 square centimeters
Answer:
120 square centimeters
Step-by-step explanation:
The question says the formula already.
Area = bh
b = base length b = 10
h = height length h = 12
Area = 10 · 12
Area = 120 square centimeters
Answer: B. 120 square centimeters
Step-by-step explanation:
Given : The area of a parallelogram is found using the formula [tex]bh[/tex], where b represents the length of the base and h represents the length of the height.
Then , the area of a parallelogram that has a base of 10 centimeters and a height of 12 centimeters will be:-
[tex]\text{Area}=10\times12\\\\\Rightarrow\text{Area}=120\text{ square centimeters}[/tex]
Therefore , the area of the parallelogram = 120 square centimeters
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?
Answer:
Expression for Base Area is 16y² and height of the prism is y² + y + 3.
Step-by-step explanation:
Given: Expression for volume of a prism = [tex]16y^4+16y^3+48y^2\:cubic\:units[/tex]
To find: Expression for the Base area and Height of the Prism.
We know that
Volume of a prism = Base Area × height
So we need to factorize given expression of volume into two factors in which 1st is for Base area and 2nd is for Height of the prism.
[tex]Volume=16y^4+16y^3+48y^2[/tex]
Take 16y² common from each terms, we get
[tex]Volume=16y^2(y^2+y+3)[/tex]
It is factorized in two factors,
So,
Base Area = 16y²
Height = y² + y + 3
Therefore, Expression for Base Area is 16y² and height of the prism is y² + y + 3.
Answer:
d is the answr
Step-by-step explanation:
I don’t understand this question please help
Answer:
i think A or B but im not sure
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
-2 and -3 are connected
While positive 2 and -3 are also connected
So youre looking for which two x's share a y
Reduce to simplest form. 5/3 + (-7/6)=
Answer:
1/2
Step-by-step explanation:
You can add fractions which have the same denominator. 3 and 6 share multiples and so can form a common denominator. 3 can become 6 by multiplying by 2. Multiply both numerator and denominator of 5/3 by 2. It becomes 10/6 +-7/6 =3/6=1/2
How is the percent efficiency of a machine determined?
A. (force / distance) × 100%
B. (work output / work input) × 100%
C. (work input / work output) × 100%
D. (input force / output force) × 100%
The answer is B. I just answered this question earlier!
Answer:
i need the ansrew too
Step-by-step explanation:
hehe
The sum of the squares of two consecutive integers is 85. Using n to represent the smaller of the two consecutive integers, express this statement in algebraic form
The algebraic representation of the given statement is:
[tex]n^2 + (n + 1)^2 = 85[/tex]
Expanding and simplifying:
[tex]n^2 + (n^2 + 2n + 1) = 85[/tex]
[tex]2n^2 + 2n + 1 = 85[/tex]
[tex]2n^2 + 2n + 1 - 85 = 0[/tex]
[tex]2n^2 + 2n - 84 = 0[/tex]
Dividing the equation by 2 to simplify:
[tex]n^2 + n - 42 = 0[/tex]
Now, we can solve this quadratic equation using the quadratic formula:
[tex]n = [-b ± √(b^2 - 4ac)] / (2a)[/tex]
Where a = 1, b = 1, and c = -42:
n = [-(1) ± √((1)^2 - 4(1)(-42))] / (2(1))
n = [-1 ± √(1 + 168)] / 2
n = [-1 ± √169] / 2
n = [-1 ± 13] / 2
This yields two possible values for n:
n₁ = (-1 + 13) / 2 = 12 / 2 = 6
n₂ = (-1 - 13) / 2 = -14 / 2 = -7
Since n represents the smaller of the two consecutive integers, we discard the negative value.
Therefore, the smaller integer (n) is 6.
To solve this problem algebraically, we first translate the given statement into an equation. We know that the sum of the squares of two consecutive integers can be represented as[tex]n^2 + (n + 1)^2, v[/tex]where n is the smaller integer. Setting this expression equal to 85, we get the equation [tex]n^2 + (n + 1)^2 = 85.[/tex]
We then expand and simplify this equation to get a quadratic equation in standard form: [tex]2n^2 + 2n - 84 = 0.[/tex]
Next, we use the quadratic formula to solve for n, which gives us two possible values. Since we are looking for the smaller of the two consecutive integers, we discard the negative solution.
Thus, the smaller integer is n = 6.
Complete question:
The sum of the squares of two consecutive integers is 85. Using n to represent the smaller of the two consecutive integers, express this statement in algebraic form
g(x)=9+4x
h(x)=x+21÷5
Write (h×g)(x) as an
expression in terms of x.
(h×g)(x) =
For this case we have the following functions:
[tex]g (x) = 9 + 4x\\h (x) = \frac {x + 21} {5}[/tex]
We must find [tex](h * g) (x)[/tex]. By definition of composite functions we have to:
[tex](h * g) (x) = h (x) * g (x)[/tex]
So:
[tex](h * g) (x) = 9 + 4x * \frac {x + 21} {5}[/tex]
We apply distributive property:
[tex](h * g) (x) = \frac {9x + 9 * 21 + 4x ^ 2 + 4x * 21} {5}\\(h * g) (x) = \frac {9x + 189 + 4x ^ 2 + 84x} {5}\\(h * g) (x) = \frac {4x ^ 2 + 93x + 189} {5}\\[/tex]
Answer:
[tex](h * g) (x) = \frac {4x ^ 2 + 93x + 189} {5}[/tex]
What is the minimum y value on the graph of y = sinx - 6?
-7
-5
5
7
Answer:
The correct answer option is -7.
Step-by-step explanation:
We are asked to determine the minimum value of y on the graph of [tex]y = sin x - 6 [/tex].
[tex]y' = cos(x) = 0[/tex]
[tex]x = arccos(0) = \pm\frac{\pi }{2} +2k\pi[/tex] where 'k' is any integer.
So, [tex] y = sin ( \frac { \pi} { 2 } ) - 6 = 1 - 6 = -5 [/tex] (it is the absolute minimum value)
and [tex]y=sin(\frac{-\pi}{2}+2\pi )-6 = sin(\frac{3\pi}{2})-6 [/tex] = -7 (absolute minimum y value)
Answer:
The correct answer option is -7.
We are asked to determine the minimum value of y on the graph of . where 'k' is any integer.
So, (it is the absolute minimum value)and = -7 (absolute minimum y value)
The Pythagorean identity 1+cot^2 theta=csc^2 theta can be converted to the other Pythagorean identity 1+tan^2 theta=sec^2 theta. Show the steps on how to do that.
Answer: view image. its a proof (in red)
Step-by-step explanation:
if the box holds 24 of these sugar cubes,what is the total volume of the box?
Answer:
[tex]V_{box}=3u^{3}[/tex]
Step-by-step explanation:
The complete question is
If the box holds 24 of these sugar cubes what is the total volume of the box.
The sugar cubes are 1/2 x 1/2 x 1/2
The total volume of the box would be the volume of each sugar cube multiplied by 24, because the box is formed by those 24 sugar cube.
The volume of one sugar cube
[tex]V_{cube}=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}=\frac{1}{8} u^{3}[/tex]
We have 24 of them, so the volume of the whole box is
[tex]V_{box}=24\frac{1}{8}u^{3}\\ V_{box}=3u^{3}[/tex]
Therefore, the volume of the box is
[tex]V_{box}=3u^{3}[/tex]
To find the total volume of the box holding 24 sugar cubes, calculate the volume of a single sugar cube and multiply by 24.
Explanation:The total volume of the box can be determined by finding the volume of a single sugar cube and multiplying it by the number of cubes in the box. Since the question does not provide specific dimensions of the sugar cube, let's assume the cube has sides of 1 cm. The volume of a cube is found by cubing the length of a side. So, the volume of a single sugar cube is 1 cm x 1 cm x 1 cm = 1 cubic cm. Since the box holds 24 sugar cubes, the total volume of the box is 24 cubic cm.
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12 people are entered in a race. if there are no ties, in how many ways can the first three places come out.
Answer:
1320
Step-by-step explanation:
This is a simple permutation.
Since you start with 12 people and there are 3 winners, after every winner the number pf people available to win decrease.
First, there are 12 people, then after the first win there are 11 people, and after the 2nd win, for the third win the there are 10 people.
Thus, to find the total number of combinations, you multiply:
12*11*10=1320
Thus, there are 1320 possible combinations
A photo printer can print 78 color pictures in 24 seconds. Which equation represents the relationship between t, the time in seconds, and p, the number of pictures printed
3.25 • p = t
Or
p = t/3.25
Hope this helps!
The time it takes to print a number of photos can be shown as a proportionality relationship p = (78/24) * t, with p being the number of photos printed and t being time in seconds.
Explanation:The relationship between the time (t) needed to print pictures and the number of pictures (p) printed by a photo printer can be represented by a simple proportionality relationship. This means that we can express this relationship as a rate. In this case, the printer prints 78 pictures in 24 seconds, so we can write the relationship as:
p / t =78/24
Or in other words:
p = (78/24) * t
This equation suggests that for any given unit of time t, you simply multiply t by the rate (78/24) to find the number of pictures p that can be printed in that time.
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Bill needs to build a rectangular sheep pen
The pen must have a perimeter of 24 m
Every half meter of fencing costs him £1.20
Work out the cost of he fence used to make the sheep pen.
Perimeter = 24m
Cost of half metre(1/2m) = €1.20
Cost of one metre = €2.40
Cost of fencing = 24 × 2.40 = €57.60
HOPE THIS WILL HELP YOU
Answer:
£57.6
Step-by-step explanation:
Given :The pen must have a perimeter of 24 m
Every half meter of fencing costs him £1.20
To Find : Work out the cost of the fence used to make the sheep pen.
Solution :
Cost of fencing 0.5 m = £1.20
Cost of fencing 1 m = [tex]\frac{1.20}{0.5}=2.4[/tex]
The pen must have a perimeter of 24 m
So, cost of fencing 24 m = [tex]2.4 \times 24 = 57.6[/tex]
Hence the cost of the fence used to make the sheep pen is £57.6
Can anyone help me please
Answer:
Step-by-step explanation:
I believe it should be 252 total pretzels so since theres nine friends and each one gets 28 so 28 x 9 equals 252. Hope it helps :)
69.96 divided by 132
0.53 is 69.96 divided by132
Answer:
The answer is 0.53
How fast is a train going that makes a 330 mile trip in 4 hours? need help fast please!!
ANSWER
The train is moving 82.5mi/hr
EXPLANATION
How fast the train is going is the same as the speed of the train:
The speed of the train is calculated using the formula,
[tex]Speed = \frac{distance}{time} [/tex]
[tex]Speed = \frac{330}{4} [/tex]
[tex]Speed = 82.5[/tex]
Therefore the train is moving 82.5mi/hr
Will mark brainliest if right
An item is regularly priced at $59. It is now priced at a discount of 55% off the regular price. What is the price now?
Answer: $32.45
Step-by-step explanation:
Because....
55% × 59 = $32.45
You could also write 55% as 0.55.
So it will look like this :
0.55 × 59 = 32.45.
It will still give you the same answer :)
* Hopefully tis helps:) Mark me the brainliest:)!!
answer plz fast
will mark brainlist
hence x is1
hope it helps you!!!!!!
Answer:
x = 3
Step-by-step explanation:
Combine the 3 fractions on the left side.
[ note x ≠ - 1, 0, + 1 as this would make the fractions undefined ]
Multiply the numerators/ denominators by the lowest common multiple of
x - 1, x + 1, x , that is x(x - 1)(x + 1), that is
[tex]\frac{x(x+1)}{x(x-1)(x+1)}[/tex] + [tex]\frac{2x(x-1)}{x(x-1)(x+1)}[/tex] - [tex]\frac{3(x-1)(x+1)}{x(x-1)(x+1)}[/tex] = 0
distribute and simplify the numerators
[tex]\frac{x^2+x+2x^2-2x-3(x^2-1)}{x(x-1)(x+1)}[/tex] = 0
[tex]\frac{x^2+x+2x^2-2x-3x^2+3}{x(x-1)(x+1)}[/tex] = 0
[tex]\frac{3-x}{x(x-1)(x+1)}[/tex] = 0
The denominator cannot equal zero only the numerator, hence
3 - x = 0 ⇒ x = 3
Factor the expression using the GCF. 44−11
[tex]\( 44 - 11 \)[/tex] factors to [tex]\( 33 \)[/tex] when using the greatest common factor method.
To factor the expression [tex]\( 44 - 11 \)[/tex] using the greatest common factor (GCF), we first need to find the GCF of the two numbers.
The numbers 44 and 11 have a common factor of 11.
Now, we can factor out 11 from both terms:
[tex]\( 44 - 11 = 11 \times (4 - 1) \)[/tex]
This simplifies to:
[tex]\( 44 - 11 = 11 \times 3 \)[/tex]
Finally, we calculate the product: [tex]\( 11 \times 3 = 33 \)[/tex]
So, the factored expression for [tex]\( 44 - 11 \)[/tex] using the GCF is [tex]\( 33 \)[/tex].
To summarize:
[tex]\( 44 - 11 = 11 \times (4 - 1) \)[/tex]
[tex]\( 44 - 11 = 11 \times 3 \)[/tex]
[tex]\( 44 - 11 = 33 \)[/tex]
Therefore, [tex]\( 44 - 11 \)[/tex] factors to [tex]\( 33 \)[/tex] when using the greatest common factor method.
Complete Question:
Factor the expression using the GCF. 44 - 11 = _____
Plz help! I have no idea how to do it!
Answer:
5
Step-by-step explanation:
transform each polar equation to an equation in rectangular coordinates and identify its shape.
(a) r=6
(b) r= 2 cos theta
please show ur work
Answer:
(a) [tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex] circle centered on the point (0,0) and with a constant radius [tex]r = 6[/tex].
(b) [tex](x-1) ^ 2 + y ^ 2 = 1[/tex] circle centered on the point (1, 0) and with radio [tex]r=1[/tex]
Step-by-step explanation:
Remember that to convert from polar to rectangular coordinates you must use the relationship:
[tex]x = rcos(\theta)[/tex]
[tex]y = rsin(\theta)[/tex]
[tex]x ^ 2 + y ^ 2 = r ^ 2[/tex]
In this case we have the following equations in polar coordinates.
(a) [tex]r = 6[/tex].
Note that in this equation the radius is constant, it does not depend on [tex]\theta[/tex].
As
[tex]r ^ 2 = x ^ 2 + y ^ 2[/tex]
Then we replace the value of the radius in the equation and we have to::
[tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]
Then [tex]r = 6[/tex] in rectangular coordinates is a circle centered on the point (0,0) and with a constant radius [tex]r = 6[/tex].
(b) [tex]r = 2cos(\theta)[/tex]
The radius is not constant, the radius depends on [tex]\theta[/tex].
To convert this equation to rectangular coordinates we write
[tex]r = 2cos(\theta)[/tex] Multiply both sides of the equality by r.
[tex]r ^ 2 = 2 *rcos(\theta)[/tex] remember that [tex]x = rcos(\theta)[/tex], then:
[tex]r ^ 2 = 2x[/tex] remember that [tex]x ^ 2 + y ^ 2 = r ^ 2[/tex], then:
[tex]x ^ 2 + y ^ 2 = 2x[/tex] Simplify the expression.
[tex]x ^ 2 -2x + y ^ 2 = 0[/tex] Complete the square.
[tex]x ^ 2 -2x + 1 + y ^ 2 = 1[/tex]
[tex](x-1) ^ 2 + y ^ 2 = 1[/tex] It is a circle centered on the point (1, 0) and with radio [tex]r=1[/tex]
A billiards table is twice as long as it is wide . If the perimeter of a billiards table is 24 feet , what is the length and width of the table ?
Answer:
Length=8 Width=4
Step-by-step explanation:
Step 1- make an equation. The equation for perimeter is usually 2l+2w=P, but since the length is twice as long, we'll 2l x 2 =4l. So our equation is
4l + 2w = 24. note that 8+16 = 24
Step 2- Since 16 is 8 x 2, we know that the length is 16 and width is 8. We divide both those numbers because there is 2 lengths and 2 widths.
Simplify the following polynomial expression. A. B. C. D.
(5x^4-9x^3+7x-1)
The correct answer is D.[tex](5x^4-9x^3+7x-1)[/tex].
To simplify the given polynomial expression, one would typically look for like terms that can be combined. However, in the expression provided, there are no like terms. Each term in the expression [tex](5x^4, -9x^3, 7x, and -1)[/tex]has a different power of x or is a constant with no x term at all.
Since there are no common terms to combine, the expression is already in its simplest form. Therefore, the simplified expression remains as it was originally given:
[tex]\[ 5x^4 - 9x^3 + 7x - 1 \][/tex]
Which is a rule that describes the translation of a point from (-5, 4) to (-1, 2)?
A. (xy-> (x-4, y-2)
B.(x,y)->(x+4, y-2)
C.(x,y)->(x+4, y+2)
D.(x,y)->(x-4, y+2)
Answer:
[tex]\large\boxed{B.\ (x,\ y)\to(x-4,\ y-2)}[/tex]
Step-by-step explanation:
[tex](-5;\ 4)\xrightarrow{(+4,-2)}(-1;\ 2)\\\\-5+4=-1\to(x+4)\\4-2=2\to(y-2)[/tex]
Find the percent of change if the original price is $246.95 and the new price is $199.95. Round to the nearest tenth of a percent of necessary. Show your work and state whether this is an increase of decrease.
Answer:
This is a 19% decrease.Step-by-step explanation:
First step: calculate the difference:
[tex]\$246.95-\$199.95=\$47.00[/tex]
Second step: calculate the ratio of the difference and the original price:
[tex]\dfrac{\$47.00}{\$246.95}\approx0.1903219[/tex]
Third step: Convert to the percent:
[tex]0.190319\cdot100\%=19.0319\%\approx19\%[/tex]
The percent of change if the original price is $246.95 and the new price is $199.95 is 19.0%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The original price is $246.95 and the new price is $199.95.
Change in price = 246.95-199.95
= $47
The percentage of each value to the overall value when there are two or more values that sum up to 100 is the actual number.
The percent of change = (Original price-New price)/Original price ×100
= 47/246.95 ×100
= 4700/246.95
= 19.03
= 19.0%
Therefore, the percent of change with the given original price and the new price is 19.0%.
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A sphere has a diameter of 4(x+3) centimeters and a surface area of 784π square centimeters. Find the value of x.
Answer:
The value of x is [tex]4\ cm[/tex]
Step-by-step explanation:
step 1
Find the radius of the sphere
The surface area of the sphere is equal to
[tex]SA=4\pi r^{2}[/tex]
we have
[tex]SA=784\pi\ cm^{2}[/tex]
substitute and solve for r
[tex]784\pi=4\pi r^{2}[/tex]
Simplify
[tex]r^{2}=196[/tex]
square root both sides
[tex]r=14\ cm[/tex]
step 2
Find the diameter
Remember that
The diameter is two times the radius
so
[tex]D=2(14)=28\ cm[/tex]
step 3
Find the value of x
we have
[tex]D=28\ cm[/tex]
[tex]D=4(x+3)\ cm[/tex]
equate the equations
[tex]4(x+3)=28[/tex]
[tex](x+3)=7[/tex]
[tex]x=7-3=4\ cm[/tex]