Answer:
x = 11
Step-by-step explanation:
3/(3(2x-3)) = 2/(3x+5)
3(2x-3) = 6x - 9
3/(6x-9) = 2/(3x+5)
3(3x+5) = 2(6x-9)
9x + 15 = 12x - 18
12x - 9x = 15 + 18
3x = 33
x = 11
Answer:
[tex]\mathrm x= \dfrac{87}{10} \quad or \quad 8.7[/tex]
Explanation:
[tex]\longrightarrow \sf \dfrac{3}{4} (2x-3)=\:\dfrac{2}{3}\:x+5[/tex]
Distribute inside parenthesis[tex]\longrightarrow \sf \dfrac{3}{2} x-\dfrac{9}{4} =\:\dfrac{2}{3}\:x+5[/tex]
Group the variables[tex]\longrightarrow \sf \dfrac{3}{2} x-\dfrac{2}{3}x=5+\dfrac{9}{4}[/tex]
Add or Subtract[tex]\longrightarrow \sf \dfrac{5}{6} x=\dfrac{29}{4}[/tex]
Cross Multiply[tex]\longrightarrow \sf x=\dfrac{29(6)}{4(5)}[/tex]
Simplify the following[tex]\longrightarrow \sf x=\dfrac{87}{10} \quad or \quad 8.7[/tex]
Select ALL the correct answers. Consider the following graph of function f. Which transformations will change function f into function g given below. a vertical shift down 3 units a vertical shift down 5 units a vertical shift up 5 units a horizontal shift left 7 units a horizontal shift right 7 units a horizontal shift left 4 units
PLS help me with my math
i dont know either your on your own
Step-by-step explanation:
i just dont know
A white tailed deer can sprint at speeds up to 30 miles per hour. American Bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5.280 feet in one mile.
Index Number:
b) A trader bought ar bags of rice at a cost, c= 24x+103 and sold them at a price.
x = 33x-x^2/20
(1)
Find the expression for the profit.
(i) If 20 bags of rice were sold, calculate the percentage profit.
The expression for the profit is -x^2/30 + 9x - 103 and the percentage profit on 20 bags of rice is 11.1%
How to determine the profit expression?The cost and the selling price are given as:
C(x) = 24x + 103
S(x) = 33x - x^2/30
The profit is calculated using:
P(x) = S(x) - C(x)
This gives
P(x) = 33x - x^2/30 - 24x - 103
Evaluate the like terms
P(x) = -x^2/30 + 9x - 103
Hence, the expression for the profit is -x^2/30 + 9x - 103
The percentage profitWhen x = 20, we have:
Cost: C(20) = 24 * 20 + 103 = 583
Profit: P(20) = -(20)^2/30 + 9(20) - 103 = 64.67
The percentage profit is then calculated as:
Percentage = P(x)/C(x) * 100%
This gives
Percentage = 64.67/583 * 100%
Evaluate
Percentage = 11.1%
Hence, the percentage profit on 20 bags of rice is 11.1%
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What is the solution of the system of equations shown in the graph? On a coordinate plane, a line goes through (0, 4) and (2, 0) and another line goes through (0, negative 1) and (2, 0). The lines intersect at (2, 0). a. (0, 2) c. (0, 4) b. (2, 0) d. (0, -1)
Answer:
(2,0)
Step-by-step explanation:
The intersecting points of the two lines is the solution for the two equations.
(2,0) is the solution.
I have 23 hundredths and 12 tenths. Who am I? Convince by using Base 10 Blocks
Answer:
1.43
Step-by-step explanation:
12 tenths ⇒ 1.2
23 hundredths ⇒ 0.23
0.23 + 1.2 = 1.43
Name the polygon shape in the picture below.
Answer:
There are eight sides so it's an octagon
Step-by-step explanation:
What is the value of x?
log 3x =4
A. 7 B. 27 C. 81 D. 12
Answer:
81
Step-by-step explanation:
for example log2 8=3 is the same as 2^3=8, so if you switch around the variables from your question, your able to do 3^4, which is 81
find the exact value of sin 15 degrees
Answer:
Hi,
Step-by-step explanation:
sin(a-b)=sin(a) cos(b)+ cos(a) sin(b)
a=45° and b=30°
[tex]sin(45^o-30^o)=sin(45^o)*cos(30^o)+cos(45^o)*sin(30^o)\\\\=\dfrac{\sqrt{2}}{2}* \dfrac{\sqrt{3}}{2}+\dfrac{\sqrt{2}}{2}*\dfrac{1}{2}\\\\\\\boxed{sin(15^o)=\dfrac{\sqrt{2}}{4}*(1+\sqrt{3} )}\\[/tex]
(write in algebraic expression) Ice cream shop is open within the month of june,july and august
The shop served 100 fewer customers than they did in july
They served twice as many customers in august as they did in june
In total they served 400 customers over these three months
The algebraic expression of the situation above is 4x - 100 = 400
How to form an algebraic expression?Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
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3/x=2
How do you solve this without get a loop
Answer:
x= 3/2
Step-by-step explanation:
3/x=2
Multiply x both sides so,
3 =2x
Divide 2 to get the value of x so,
x= 3/2
Drag the tiles to the boxes to form correct pairs.
Match the cube roots and square roots with their values.
Drag the tiles to the boxes to form correct pairs.
Match the cube roots and square roots with their values.
Match the cube roots and square roots with their values.
Match the cube roots and square roots with their values.
Match the cube roots and square roots with their values.
The match up are:
√4 = 2∛27 = 3√64 = 8∛64 = 4√49 = 7∛1000 = 10What is square root?The square root, in mathematics is known to be the factor of a number that, is said to be multiplied only by itself and thus it gives the original number.
For example:
[tex]\sqrt{4}[/tex] will give you 2.
Therefore, The match up are:
√4 = 2∛27 = 3√64 = 8∛64 = 4√49 = 7∛1000 = 10Learn more about cube roots from
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Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.
What is the measure of arc BEC in circle D?
134°
150°
209°
210°
Answer: 134°
Step-by-step explanation:
Since angle ABC is equal to 75, we know that the arc in front of it (arc AC) is 150. We then start to add all the know arc angle measures together. So, our equation to finding arc BEC 360-150+76= BEC arc.
Answer:
134
Step-by-step explanation:
cause yeah
Cynthia beach wants to buy a rug for a room that is 22 ft wide and 31 ft long.she wants to leave a uniform strip of floor around the rug.she can afford to buy 580 square feet of carpeting.what dimensions should the rug have?
The dimensions the rug should have is 20 by 29
How to determine the dimension?The dimension of the rug is given as:
22 ft by 31 ft
The area of the carpet is given as:
Area = 580
Represent the length of the empty space with x.
So, the dimension of the carpet is:
22 - 2x by 31 - 2x
The area is calculated as:
Area = (22 - 2x) * (31 - 2x)
Expand
Area = 682 - 62x - 44x + 4x^2
Evaluate the difference
Area = 682 -106x + 4x^2
Substitute Area = 580
682 -106x + 4x^2 = 580
Subtract 580 from both sides
102 -106x + 4x^2 = 0
Rewrite as:
4x^2 - 106x +102 = 0
Using a graphing calculator, we have:
x = 1 and x = 22.5
Substitute these values in 22 - 2x by 31 - 2x
So, we have:
Length = 22 - 2(1) = 20 or Length = 22 - 2(22.5) = -23
Width = 31 - 2(1) = 29 or Length = 31 - 2(22.5) = -14
The dimensions cannot be negative.
So, we have:
Length = 20 and Width = 29
Hence, the dimensions the rug should have is 20 by 29
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1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 whicl side id perpendoicular to CE 5 what is the of the measure of
Given that ABCD is a parallelogram, the sum of its interior angles is:
360°
A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.
What is the sum of the exterior angles of CHFE?The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.
Which sides are parallel to CE?The sides that are parallel to CE are:
FH
AD and
IJ.The side that are perpendicular to CE is side side HH, hence we can state that:
CE ⊥ EH, because both lines intersect each other at right angles.
Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,
∠C + ∠H? = 180° - 90°
= 90°
What is the measure of the exterior angles of a Regular Pentagon?The measure of the exterior angles of a regular pentagon is 72°
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A con is tossed 400 times what is the standard deviation
Answer:
deviation is 10
this will help you
A halloween bowl contains four snicker bars, five hershey bars, three milkway bars, and one twix bar. What is the probability that a snicker bar will be pulled out the bowl?
Answer:
1/3
Step-by-step explanation:
The total # of bars = 12. (4+5+3)
4 of those, are snickers
4/12 (Target / Total)
1/3 (simplified)
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
Please help me it’s for Plato on edmentum! Algebra 1 Quadratic relationships Mastery test
The equation of the function g(x) will be g(x) = (1/2) x². Then the correct option is B.
The complete question is attached below.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is given below.
f(x) = x²
Then the function g(x) will be
g(x) = a · x²
Then the value of will be
From the graph, at x = 2, g(x) will be 2.
Then we have
2 = a · 2²
a = 1/2
Then the equation of the function g(x) will be g(x) = (1/2) x².
Then the correct option is B.
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I need help please , I don’t really know much about pre calculus
Answer:
The angle Sita here is called Amplitude
A researcher asks the first 10 people he meets at a shopping mall about their opinions on a certain brand of shampoo. This is an example of a ________________.
A. self-selecting sample
B. convenience sample
C. random sample
D. systematic sample
Answer:
i believe the answer is A
Step-by-step explanation:
please help 35 points!!
Answer:
67m²
Step-by-step explanation:
12m + 6m + 4m + 36 m 8m = 67m²
Five identical machines cover a total of 32 1/2 ft.² of floor space how much floor space occupied by each machine
Using proportions, it is found that the floor space occupied by each machine is of 6.5 ft².
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, five identical machines cover a total of 32 1/2 ft² = 32.5 ft², hence the space occupied by each machine is given as follows, applying the proportion:
32.5 ft²/5 = 6.5 ft².
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Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Note: Enter only the simplified result.
Answer: 1
Step-by-step explanation:
First, we will translate this into an algebraic expression.
-> Quotient means we will be using divison
-> Product means we will be using multiplciation
the quotient of 12 and the product of 3 and 4
[tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]
[tex]\displaystyle \frac{12}{3*4}[/tex]
Now, I will simplify.
Given:
[tex]\displaystyle \frac{12}{3*4}[/tex]
Multiply:
[tex]\displaystyle \frac{12}{12}[/tex]
Divide:
1
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-3+8x-5=-8 solve for x
The value of this equation is x = 0
The representation of an equation of the first degree - is given by:
[tex] \boxed{ \large \sf ax + b = 0}[/tex]
This representation is also defined in a first degree function.
— To solve this expression, let's: add or subtract the real terms. Then we will do the division.
⚘ Resolution
[tex] \large \sf{-3+8x-5=-8}[/tex]
[tex] \large \sf{-8+8x=-8}[/tex]
[tex] \large \sf{8x=0}[/tex]
[tex] \large \sf{x=0 \div 8}[/tex]
[tex] \green{ \boxed{ \boxed{ \blue{ \large \sf{x=0}}}}} \\ [/tex]
Therefore, the value of this equation will be x = 0
The weight of 1 cm³ of
water is exactly I g.
A small desk top fish
tank is pictured below.
How much does the
water in the tank weigh
in kilograms?
HELP
Answer:
10,800 kilograms
Step-by-step explanation:
(24 x 30) x 15 = 10,800
or (24 x 15) x 30
Which expression represents the perimeter of the triangle?
8x + 2
18x
8x
Answer:
8x
Step-by-step explanation:
We can add all of the side lengths of the triangle to figure out the perimeter. 3x-1+3x+1=6x+2x=8x
What is the volume of the cylinder below?
-----
-
2112
O O
A. 408 units3 B. 2448 units3
O
C. 204772 units 3
O
D. 20471 units
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
We need to find volume of the given Cylinder, with information :
radius (r) = 12 units height (h) = 17 units[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = \pi r²h[/tex]
[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = \pi \sdot(12) {}^{2} \sdot17[/tex]
[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = \pi \sdot144{}^{} \sdot17[/tex]
[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = 2448 \pi \: \: unit {}^{3} [/tex]
So, correct choice is B
The volume of the given cylinder is 2448π cubic units
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the volume of the given cylinder
Radius is 12 units
Height is 17 units
Volume of cylinder= πr²h
Plug in the values of radius and height
Volume = π×12²×17
=π×144×17
=2448π cubic units
Hence, the volume of the given cylinder is 2448π cubic units
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What are all of the prime numbers between 30 and 40?
Answer:
the prime numbers between 30 and 40 are 31 and 37 come on its so easy
Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
Based on the calculations, the area of the shaded region is equal to 22 square foot.
How to calculate the area of the shaded region?By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
Note: The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
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Complete Question:Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
PLEASE HELP BRAINLIEST how many small blocks of wood each of length 6cm, breath 4cm, and height 2cm can i cut out from a block of wood of length 2m, breadth 4cm and height 2cm WITH STEP BY STEP EXPLANATION
Answer:
33 blocks
Step-by-step explanation:
Given the length , breath and height for small block 6cm, 4cm, and 2cm an d for large 2m = 200cm, 4cm and 2cm.
volume is given by
V = Length x breath x height
Volume of small block = 6 x 4 x 2 = 48 cm^3
Volume of big block = 200 x 4 x 2 = 1600 cm^
No of blocks = Volume of big block/ volume of small block
= 1600/48
= 33.33
Therefore no of blocks formed = 33