Answer:
48 to 27
48:27
48/27
Answer:
[tex]16/9[/tex], [tex]1\frac{7}{9}[/tex] and [tex]1.78[/tex]
Step-by-step explanation:
The Given fraction is getting divided by 3 .
Simplifying the fraction
[tex]48/27\\= 16/9\\[/tex]
Or, This proper fraction can be written in mixed fraction
[tex]1\frac{7}{9}[/tex]
Where 1 is the quotient and 7 is the remainder on dividing.
This improper fraction can be reconverted to the proper fraction by
[tex](9*1)+7/7=16/7[/tex]
Also this fraction can be written in decimals by dividing it after the decimal that gives
[tex]16/9=1.78[/tex]
The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions
What is the width?
What is the length?
Answer:
Step-by-step explanation:
let x be the width.
length = x +2
Perimeter = 36 ft
2*( x +2 + x ) =36
2x + 2 = 36/2
2x + 2 = 18
2x = 18 -2 = 16
x = 16/2
x = 8 ft
Width = 8 ft
Length = 8 + 2 = 10 ft
A 40% dye solution is to mixed with a 53% dye solution to get 260L of a 50% solution. How many liters of the 40% and 50% solutions will be needed
From given,
Final solution is 260 liter
Let x be the liters of 40 % dye solution
Then, (260 - x) is the liters of 53 % dye solution
Therefore, according to question,
x liters of 40 % dye solution is mixed with (260 - x) liters of 53 % dye solution to get 260 liters of 50 % dye solution
Thus we frame a equation as:40 % of x + 53 % of (260 - x) = 50 % of 260
Solve for "x"
[tex]\frac{40}{100} \times x + \frac{53}{100} \times (260-x) = \frac{50}{100} \times 260\\\\0.4x+ 0.53(260-x) = 0.5 \times 260\\\\0.4x + 137.8 - 0.53x = 130\\\\0.13x = 137.8 - 130\\\\0.13x = 7.8\\\\Divide\ both\ sides\ by\ 0.13\\\\x = 60[/tex]
Thus 60 liters of 40 % dye solution is used
Then, (260 - x) = 260 - 60 = 200
Thus 200 liters of 53 % dye solution is used
Each side of the regular hexagon below has the same measure. A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options.. The model represents a reduction. Each side of the model is 15 feet long. The model is proportional to the original hexagon. One side of the model can be 8.5 feet. The scale factor is divided by 2.5 to get the dimensions of the model.
Answer:
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
Step-by-step explanation:
A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model?
a.) The model represents a reduction
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
d.) one side of the model can be 8.5 feet long
e.) the scale factor is divided by 2.5 to get the dimensions of the model
54 miles is 18% of how many miles?
Answer:
(set up a ratio)
54/x = 18/100
(cross multiply)
18x = 5400
(solve for x)
x = 300 miles
Step-by-step explanation:
The function g(x)=8(4x) is reflected across the x-axis to create f(x).
On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 8). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 8).
What is the equation of f(x)?
f(x)=8(4)x
f(x)=−8(4)x
f(x)=8
f(x)=−8
Answer:
It’s B if you dont want to read all that.
Step-by-step explanation:
The equation of f(x) is f(x) = -8(4x).
Explanation:The equation of the reflected function f(x) can be obtained by changing the sign of the coefficient of g(x), which is 8.
So, the equation of f(x) is f(x) = -8(4x).
Learn more about Reflected functions here:https://brainly.com/question/22702396
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Solve the equations to find the number and type of solutions.
The equation 8 - 4x = 0 has
real solution(s).
DONE
Answer:
One real solution (which is x = 2)
Step-by-step explanation:
8-4x = 0
8 = 4x
8/4 = 2
x=2
Can be solved with no different solution
really need help !!?????
Answer:
x = (150/360)(2π) = (5/6)π
1. Is -7+9=-9+7 true, false, or open? (1 point)
O true
O false
open
Is Ay _ 3 = 19 true false or onen? noninti
Problem 1
-7+9 is the same as 9+(-7) or 9-7. All of which simplify to 2.
On the other hand, -9+7 is the same as 7+(-9) or 7-9, which simplifies to -2.
Therefore the equation -7+9 = -9+7 becomes 2 = -2, and we can see this is a false equation.
Answer: false========================
Problem 2
Your second question has some weird typo errors going on. Please update.
The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f(d)=200d^3 + 542d^2 + 179d + 1605 and the number of visitors to the restaurant from Monday to Sunday can be modeled by g(d)= 100d + 321, where d is the number of days since Monday. What is the average number of burgers per person?
Answer:
Average = 96
Step-by-step explanation:
Average = sum of terms/ number of terms
sum of terms = number of burgers sold
number of terms = number of visitors
d = number of days since Monday which is 7
burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7
burgers sold = 200(7)³ +542(7)² + 179(7) +1605
burgers sold =68600 + 26558 + 1253 + 1605
burgers sold =98016
number of visitors= 100d + 321
number of visitors= 100(7) + 321
number of visitors= 700+321
number of visitors= 1021
Average = 98016/1021
Average = 96
1. Elana spent 45 minutes at the library, half an hour at the grocery
store, 20 minutes visiting a friend, and arrived home at 4:10 P.M.
What time did she leave home?
Answer:
2:25
Step-by-step explanation:
Answer:
Step-by-step explanation:
3:05
The radius of circle L is 16 cm.
What is the length of its diameter?
8 cm
16 cm
32 cm
64 cm
Circle with center at point L. Points G, H, I, J and K are on the circle. Line segments GK, GL, LJ, GLJ, IL, HL, LK and HLK are drawn.
Answer:
32 cm
Step-by-step explanation:
Radius=16 cm
Now
Diameter=2(radius)
Diameter=2(16)
=32 cm
32
Step-by-step explanation:
Cuz radius is half circle, so times that by 2 you get diameter
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Help please! The trapezium question!
Answer:
formula for sum of interior angles is (n-2)*180 - for a regular polygon
divide that by the number of sides
so 6-2 = 4*180 =720 degrees
720/6 = one angle(angle a) =120
Answer:
D. 120 degrees.
Step-by-step explanation:
We nee to find the measure of the interior angle in a regular hexagon.
The exterior angle = 360 / 6 = 60 degrees. ( In all convex polygons the sum of the exterior angles = 360 degrees).
So α = 180 - 60 = 120 degrees (adjacent angles add up to 180 degrees).
Which expression is 5 times as much as the sum of r and s?
A) 5 × r + s
B) 5 + r + s
C) r + s × 5
D) (r + s) × 5
The option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a statement about the expression:
The expression is 5 times as much as the sum of r and s
We can frame the expression as follows:
= 5(r + s)
or
= (r + s) × 5
Thus, the option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.
Learn more about the expression here:
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A line intersects the points (0, -4) and
(1, 2). What is the slope-intercept
equation for this line?
y = [?]x+[
Equation is y = 6x - 4
Step-by-step explanation:
Step 1: Find the slope of the line using m = (y2 - y1)/(x2 - x1) Here x1 = 0, x2 = 1, y1 = -4, y2 = 2⇒ m = (2 - -4)/(1 - 0) = 6
Step 2: Find y-intercept, b. Since the line passes through (0, -4) b = -4Step 3: Form the slope-intercept equation⇒ y = 6x - 4
kim was solving a problem using Six steps first she read the problem then she wrote down the facts and figures next she knew she had to find a
Answer:
an equations which can be used to find the answer.
Answer: must be found.
Step-by-step explanation:
Which of these pairs of points defines a line with a slope -4/3?
A) (-1, 6) and (-4, 10)
B) (6, -1) and (-4, 10)
C) (-1, 6) and (10, -4)
D) (6, -1) and (10, -4
Slope is defined as (y2-y1)/(x2-x1)
"A" gives a slope of (10-6)/(-4-(-1))=4/-3=-4/3
Hope this helped
The point pair establishing a line with a slope of -4/3 is (-1, 6) and (-4, 10). which is the correct answer would be an option (A).
What is the slope of the line?The slope of a line is defined as the gradient of the line.
To determine the slope of a line, we can use the formula: slope m = (y₂ - y₁)/(x₂ -x₁ )
Using this formula, we can calculate the slope for each of the pairs of points given:
A) (-1, 6) and (-4, 10):
slope = (10 - 6)/(-4 - (-1)) = -4/3
B) (6, -1) and (-4, 10):
slope = (10 - (-1))/(-4 - 6) = -11/10
C) (-1, 6) and (10, -4):
slope = (-4 - 6)/(10 - (-1)) = -10/11
D) (6, -1) and (10, -4):
slope = (-4 - (-1))/(10 - 6) = -3/4
Therefore, the pair of points that defines a line with a slope of -4/3 is (-1, 6) and (-4, 10).
Learn more about the Slope of Line here:
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Help please
Find the equation of a line that joins the midpoint of (7, 3) and (9, -7) and the y-intercept of
5x – 6 = 2y.
Answer:
y = [tex]\frac{1}{8}[/tex] x - 3
Step-by-step explanation:
Use the midpoint formula
Given (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (9, - 7), thus
midpoint = [ [tex]\frac{1}{2}[/tex] (7 + 9), [tex]\frac{1}{2}[/tex] (3 - 7 ) ] = (8, - 2)
-----------------------------------------------------------
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x - 6 = 2y into this form by dividing all terms by 2
y = [tex]\frac{5}{2}[/tex] x - 3 ← in slope- intercept form
with y- intercept c = - 3 ⇒ (0, - 3 )
-------------------------------------------------------------
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂, x₁ )
with (x₁, y₁ ) = (8, - 2) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3+2}{0-8}[/tex] = [tex]\frac{-1}{-8}[/tex] = [tex]\frac{1}{8}[/tex]
y = [tex]\frac{1}{8}[/tex] x - 3 ← equation of line
The answer to 21 + 1.7+ 0.25
Answer:
22.95
Step-by-step explanation:
Answer:
22.95
Step-by-step explanation:
What is the average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3]?
Final answer:
The average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3] is 7. This is found by evaluating g(x) at x = 0 and x = 3 and then dividing the difference by the interval length.
Explanation:
Calculating Average Rate of Change
The average rate of change of a function over an interval is the change in the function's values divided by the change in the independent variable (often x) over that interval. For the function g(x) = 3(2^x) - 6 over the interval [0,3], we first find the values of g(x) at the endpoints of the interval: g(0) and g(3). We then use the formula for average rate of change:
[tex]\[\text{Average Rate of Change} = \frac{g(3) - g(0)}{3 - 0}\][/tex]
Let's compute:
g(0) = 3(2^0) - 6 = 3(1) - 6 = -3g(3) = 3(2^3) - 6 = 3(8) - 6 = 24 - 6 = 18Now we can substitute these values into the formula:
[tex]\[\frac{18 - (-3)}{3 - 0} = \frac{21}{3} = 7\][/tex]
So, the average rate of change of the function g(x) over the interval [0,3] is 7.
5x+7=8x-71 what is x
Answer:
x = 26
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+7=8x−71
Step 1: Subtract 8x from both sides.
5x+7−8x=8x−71−8x
−3x+7=−71
Step 2: Subtract 7 from both sides.
−3x+7−7=−71−7
−3x=−78
Step 3: Divide both sides by -3.
−3x / −3 = −78 / −3
x=26
I hope this helps!
Brainliest is very much appreciated.. :}
Answer:
x=26
Step-by-step explanation:
5x-8x= -71 -7
-3x= -78
-3. -3
What is the solution of
A. x = 0
B. x = 16 and x = 0
C. x = 16
D. x = 16 and x = 1
Yo sup??
we can simply try option verification for this problem.
when x=0 we get,
1 and 1≠5 therefore x=0 is not a solution.
when x=1 we get
√6-1≠5 therefore x=1 is not a solution.
when x=16 we get
9-4=5 therefore x=16 is a solution
Hence the correct answer is option C
Hope this helps.
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting is 126 in^2. What was the original side length of the square.
Answer:
[tex]Original\ length\ of\ square=10\ inches[/tex]
Step-by-step explanation:
Let the length of square [tex]=x\ inches[/tex]
[tex]8[/tex] inches is added one side of square
Then length of one side [tex]=x+8\ inches[/tex]
[tex]3\ inches[/tex] is subtracted other side of square
Then length of other side [tex]=x-3[/tex]
[tex]area\ of square =126\ inches^2\\\\Side\times side =126\ inches^2\\\\(x+8)\times(x-3)=126\ inches^2\\\\x(x-3)+8(x-3)=126\ inches^2\\\\x^2-3x+8x-24=126\ inches^2\\\\x^2+5x-24=126\ inches^2\\\\x^2+5x-150=0\\\\x^2+15x-10x-150=0\\\\x(x+15)-10(x+15)=0\\\\(x+15)(x-10)=0\\\\x+15=0\\x=-15\ \ \ \ negative\ length\ does\ not\ consider\\\\x-10=0\\x=10[/tex]
[tex]Original\ length\ of\ square\ =10\ inches[/tex]
Which ordered pair is the best estimate for the solution to the system
Answer:
The best estimate of the solution ordered pair from the graph is [tex](\frac{1}{2},0)[/tex].
Step-by-step explanation:
See the attached graph to this question.
The graph of two straight lines are shown in the graph.
Now, the two straight lines intersect on the x-axis, so the solution ordered pairs should have y-value equals to zero.
But, there are two ordered pairs with y-value zero and they are [tex](\frac{1}{2},0)[/tex] and [tex](\frac{1}{3},0)[/tex].
The best estimate of the solution ordered pairs from the graph is [tex](\frac{1}{2},0)[/tex].
So, this is the solution. (Answer)
What is the area of this parallelogram?
A. 364 cm²
B. 143 cm²
C. 91 cm²
D. 52 cm²
Parallelogram A B C D with side D C parallel to side A B and side A D parallel to side B C. Point F is between points D and C and connects to point B with a dotted segment. Point E is between points A and B is connected to point D with a dotted segment. D F B E is a rectangle with all right angles. D F is 4 centimeters. F C is 7 centimeters. E B is 4 centimeters. A E is 7 centimeters. D E is 13 centimeters.
Answer:52cm
Step-by-step explanation:
3.14(6x)^2
jjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
Step-by-step explanation:
Step-by-step explanation:
[tex]3.14(6x)^{2} \\ \\ = 3.14 \times 36 {x}^{2} \\ \\ = 113.04 {x}^{2} \\ \\ [/tex]
is 0.4562345 a rational number
Answer:
yes
Step-by-step explanation:
Answer:
no i believe its an irrational number
Step-by-step explanation:
Solve 3(x + 2) > x.
{x | x < -1}
{x | x > -1}
{x | x < -3}
{x | x > -3}
Answer:
3x + 6 > x
2x > -6
x > -3
answer is d
Answer:
x > -3
Step-by-step explanation:
Find the arc length, x, when
r= 8 and 0 = 5 radians.
Answer:
Arc Length = 40
Step-by-step explanation:
Arc Length Formula: S = rΘ
R = radius
Θ = Radians
Step 1: Identify the radius and the radian angle
R = 8
Θ = 5 radians
Step 2: Plug into the equation
S = (8)(5)
Step 3: Solve
S = 40
Answer: Arc Length = 40
The diagonals of a rhombus are 14 and 48 cm Find the length of a side of the rhombus
f the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)
A) 13.3 cm
B) 13.9 cm
C) 14.6 cm
D) 14.9 cm
Answer:
The length of the diagonal x is 13.9 cm
Step-by-step explanation:
Given:
Side of the cube = 8 centimetres
To Find:
The length of the diagonal = ?
Solution:
The length of the diagonal is = [tex]\sqrt{3}a[/tex]
where a is the side of the cube
On substituting the values
Diagonal x = [tex]\sqrt{3}(8)[/tex]
Diagonal x = [tex]1.73 \times 8[/tex]
diagonal x = 13.856
Diagonal x = 13.9 cm