Subtrahend: 2/32
[tex]\implies \dfrac{2}{32} \implies \dfrac{1 \times 2}{16 \times 2} \implies \underlin\dfrac{1}{16}[/tex]
2) Determine the LCM of the denominators.The LCM of the denominators in the subtraction problem (5/8 - 2/32) can be determined by writing the multiples of 16 (Simplified denominator) and 8.
Writing the multiples of the denominators (16 and 8):
Multiples of 16 ⇔ 16, 32, 48, 64, 80...Multiples of 8 ⇔ 8, 16, 24, 32, 40...Since we can see that 16 is a common multiple and is has the least value in both multiples, 16 is the common multiple of 8 and 16.
3) Solving the subtraction problem.Multiply such number to the denominators such that the denominators are equivalent to the LCM. Keep in mind that the number we multiply in the denominator must be multiplied to the numerator.
[tex]\implies \dfrac{5}{8} - \dfrac{1}{16}[/tex]
[tex]\implies \dfrac{5 \times x}{8 \times x} - \dfrac{1}{16} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [8x = \text{LCM}][/tex]
[tex]\implies \dfrac{5 \times 2}{8 \times 2} - \dfrac{1}{16} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [8 \times x = \text{LCM} \implies 8 \times x = 16 \implies x = 2][/tex]
[tex]\implies \dfrac{10}{16} - \dfrac{1}{16}[/tex]
[tex]\implies \dfrac{10}{16} - \dfrac{x}{16x} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [16x = \text{LCM}][/tex]
[tex]\implies \dfrac{10}{16} - \dfrac{1 \times 1}{16 \times 1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [16 \times x = \text{LCM} \implies 16 \times x = 16 \implies x = 1][/tex]
[tex]\implies \dfrac{10}{16} - \dfrac{1}{16}[/tex]
Finally, let's subtract the fractions as the fractions have like denominators.
[tex]\implies \dfrac{9}{16}[/tex]
Therefore, the simplified fraction is 9/16.
Notes:Parts of a subtraction problem:
Subtrahend: The number, variable, or expression being subtracted from the minuend of the expression. Minuend: The starting value of the expression. Difference: The solution to a subtraction problem.Learn more about subtracting unlike fractions:
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Hi can you help me Find h?
Find h
Answer:
6
Step-by-step explanation:
help me pleaseeeeeeeee
That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x is 10.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
The angle of a rectangle is always 90°, Also, the sum of the ∠CFD and ∠DFE is ∠CFE which is an angle of the rectangle CDEF. Therefore, we can write,
∠CFD + ∠DFE = 90°
6x + 3x = 90°
9x = 90°
x = 10
Hence, the value of x is 10.
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The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph represents 1 foot, find the perimeter of the design.
Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).
What is the perimeter?This is the total distance of all the sides in a shape. Due to this, the general formula is:
Perimeter = side + side + side.What is the perimeter of the doghouse?Horizontal side: 8 feetVertical sides: 10 feetDiagonal sides: 10 feet8+10+10= 28 feet.
Note: This question is incomplete because the graph is missing; here is the graph:
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does someone mind helping me with this problem? Thank you!
Using the Pythagorean theorem:
c = sqrt(8^2 + 7^2)
c = sqrt(64 + 49)
c = sqrt(113)
c = 10.6
Determine the equation of a cubic of the form
y=ax^3+bx^2+c if the cubic has a y-intercept of (0,3) and passes through the points (1,6) and (-1,4).
========================================================
Explanation:
If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.
We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3
Now plug in x = 1 and y = 6 from the point (1,6)
y=ax^3+bx^2+3
6=a(1)^3+b(1)^2+3
6 = a+b + 3
a+b = 6-3
a+b = 3
Now plug in the coordinates of (-1,4) which are x = -1 and y = 4
y=ax^3+bx^2+3
4=a(-1)^3+b(-1)^2+3
4 = -a + b + 3
-a+b = 4-3
-a+b = 1
-----------------------------
Here are the two equations we're interested in
a+b = 3
-a+b = 1
We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4
We're left with 2b = 4 and it solves to b = 2
Use any of the equations involving 'a' and b to determine that a = 1
-----------------------------
To summarize we have
a = 1
b = 2
c = 3
This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.
Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.
A cone has a height of 2. 5 in. And a radius of 5 in. What is the volume of the cone? (Use 3. 14 for Pi. Round the answer to two decimal places. ) 32. 71 Inches cubed 65. 42 Inches cubed 196. 25 Inches cubed 588. 75 Inches cubed.
The volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed
Calculating the volume of a ConeFrom the question, we are to determine the volume of the cone
The volume of a cone can be calculated by using the formula,
V = 1/3 πr²h
Where V is the volume
r is the radius
and h is the height
From the given information,
h = 2.5 in
r = 5 in
and π = 3.14
Putting the values into the formula, we get
V = 1/3 × 3.14 × 5² × 2.5
V = 65.42 in³
Hence, the volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed
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Is length 25 inches and the width 2 inches 50 inches
Answer:
if it is the area your talking about, but if it is the perimeter its 54
Step-by-step explanation:
What is the solution to the system of equations?
5x – 4y = -2
2x + 4y = 16
Answer:
x = 2, y = 3
Step-by-step explanation:
5x – 4y = -2
2x + 4y = 16
Solve by elimination. (-4y and +4y gives 0)
7x = 14
x = 2
Substitute 2 in one of the equations in order to find y.
5(2) - 4y = -2
10 - 4y = -2
-4y = -12
y = 3
x = 2, y = 3
hope this helps!! p.s. i really need brainliest :)
Answer:
x = 2, x = 3
Step-by-step explanation:
[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]
[tex]\mathrm{Step\;by\;step\;solving}:[/tex]
[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]
[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]
[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]
[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]
[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]
[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]
[tex]\mathrm{Then, substitute\:}y=3[/tex]
[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]
[tex]\mathrm{Solving:\;x=2}[/tex]
[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=2,x=3[/tex]
~Kavinsky~
match the turms with the values using this set of data 46, 72, 15, 72, 19, 10 what are the mean medien and range
Answer:
See below ~
Step-by-step explanation:
Arranging the data in increasing order
10, 15, 19, 46, 72, 72Mean
10 + 15 + 19 + 46 + 72 + 72 / 625 + 65 + 144 / 6234/639Median
In a set with even number of data points, the median is the mean of the middle 2 terms19 + 46 / 265/232.5Range
Difference between highest data point and lowest data point72 - 1062Answer:
Mean: 39
Median: 32.5
Range: 62
In the adjoining figure, ABCD is an isosceles trapezium in which angle BCD= 2x and angle ABC=3x. Find all the angles of the trapezium.
The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.
Then all the angles of the trapezium will be
Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have
Then the value of x will be
∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°
3x + 2x + 2x + 3x = 180°
10x = 180°
x = 18°
Then the measure of all angles will be
∠ABC = ∠BAD = 3x = 3 × 18 = 54°
∠BCD = ∠ADC = 2x = 2 × 18 = 36°
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Please Help !! I Will GIVE BRAINLIEST What is the slope of the line !
Step-by-step explanation:
Looking closely,
when x1=0, y1= 3
Also, when x2= 3, y2= 1
The slope therefore is,
(y2-y1)/(x2-x1)
= 1-3/2-0
= -2/2
Slope = -1
What is the sur face area?
1 cm
1 cm
1 cm
Answer:
should be 6cm
Step-by-step explanation:
if you are looking at a cube
Answer:
6 cm 2
Step-by-step explanation:
Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )
Can someone please answer my question? I really need help please !
If the data values are as shown in the picture I have attached, then the following should help.
Answer: 226.56 m²
Step-by-step explanation:
We need to find the area of three rectangles and two triangles.
The triangles: 34.56 m²
A = [tex]\frac{B*H}{2}[/tex]
-> Since they are both congruent, we will skip dividing by two
A = B * H
A = 7.2 * 4.8
A = 34.56 m²
The rectangles: 192 m²
A = L * W
-> We have two that are congruent, and one that is not
A = 10 * 6 * (2, since there are two)
A = 120 m²
-
A = L * W
A = 7.2 * 10
A = 72 m²
-
72 m² + 120 m² = 192 m²
Total surface area:
34.56 m² + 192 m² = 226.56 m²
Which of the following is equivalent to
( g + h ) ( p + q − r ) ? g p + g q − g r + h p + h q − h r g p + g q + g r + h p + h q + h r g p + h q − r
Answer:
g p + g q − g r + h p + h q − h r
Step-by-step explanation:
This is the correct simplified form of ( g + h ) ( p + q − r )
Hope this helped!
Answer:
gp + gq - gr + hp + hq - hr
Step-by-step explanation:
Expression:
(g + h)(p + q − r)
Choices:
gp + gq − gr + hp + hq − hr
gp + gq + gr + hp + hq + hr
gp + hq − r
Solution:
Multiply each term of g + h by each term of p + q - r.
You get:
gp + gq - gr + hp + hq - hr
Honestly I just rly need this done by tomorrow and i’m so exhausted
A gardener makes a new circular flower bed. The bed is
ten feet in diameter. Calculate the circumference and the
area of the circular flower bed.
circumference = 10 feet, area =
10r square feet
O circumference = 10r feet, area = 25r square feet
circumference = 5r feet, area = 257 square
feet
circumference = 10r feet, area = 1007 square feet
Answer:
B. Circumference = 10r feet, area = 25r feet
Step-by-step explanation:
C = [tex]\pi[/tex] x 10
C = 10n
A = n x 5x5
A = 25n
Amelie has a spinner divided into ninths equal sections that are labeled 1 through 9. she wants to compare the theoretical probability and experimental probability as spending an odd number she spends the spinner 12 times and records the results in this list. Drag and drop the answers into the boxes to correctly complete the sentences.
•Theoretical probability of spinning in on number is equal to (blank). The probability of spinning a number is equal to (blank). Therefore the theoretical probability of being a number is (blank) the experimental probability of spelling and odd number.
Choices- 1/9. 1/2. 5/9. 2/3. greater than. less than.
The theoretical probability =[tex]\dfrac{5}{9}[/tex], The experimental probability = [tex]\dfrac{5}{12}[/tex]
What is experimental probability?
The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
The sample will be ={1,2,3,4,5,6,7,8,9}=9
favourable outcomes={1,3,5,7,9,}=5
The theoretical probability of spinning and odd number = [tex]\dfrac{5}{9}[/tex]
As she spends the spinner 12 times
The experimental probability = [tex]\dfrac{5}{12}[/tex]
Hence the theoretical probability =[tex]\dfrac{5}{9}[/tex], The experimental probability = [tex]\dfrac{5}{12}[/tex]
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Answer:
The theoretical probability of spinning an odd number is equal to 5/9 The experimental probability of spinning an odd number is equal to 2/3. Therefore, the theoretical probability of spinning an odd number is less. than the experimental probability of spinning an odd number.
if you could give me brainliest i would greatly appreciate it.
Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?
Answer:
Range: ( − ∞ , ∞ ) , { y | y ∈ R }
Step-by-step explanation:
Slope: 4
y-intercept: (0,0)
X Y
0 0
1 4
Answer:
all real number
Step-by-step explanation:
Find the difference of functions s and r shown
below
r(x) = -x² + 3x
s(x) = 2x+1
(s-r)(x) =
Answer:
-x +x^ + 1
Step-by-step explanation:
s(x) - r(x) = 2x + 1 - ( - x^ + 3 x )
2x + 1 + x^ - 3 x
2x - 3x + x^ + 1
-x + x^ + 1
what is the answer to 284 times 45 to the power of 3
Hey there!
284 * 45^3
= 284 * 45 * 45 * 45
= 284 * 2,025 * 45
= 284 * 91,125
= 25,879,500
Therefore, your answer is:
25,879,500
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help please it is timed 40 pts
Answer:
The answer is D
Step-by-step explanation:
If you use. MAD then all you have to do is multiply add then divide so the 1/4 +1/16 +. 1/64 + 1/256 = 1/3 so round it and. its 1/3 (1/4)
Answer: choice d
Step-by-step explanation: i asked my mom :/
PLS HELPPP MEEE!!
The graph of y = x2 - 4 is shown below
What are the roots?
A.
x = 0 and x = -4
B.
x = 4 and x = 2
C.
x = -4 and x = 4
D.
x = -2 and x = 2
The answer is D. The roots are just where the line crosses the y axis.
1.5 in
3.3 in
What's the area
Answer: 6.96 in^2
Step-by-step explanation:
Trapezoid Area
A = [tex]\frac{a+b}{2} h[/tex]
= [tex]\frac{1.5 + 3.3}{2} * 2.9[/tex]
= [tex]\frac{4.8}{2} * 2.9[/tex]
= 2.4 * 2.9
= 6.96
Which causal relationship is justifiable?
Only (c) makes sense. The game draws people, which in turn means more cars and heavier traffic in the surrounding area.
The plan of a school playing field is drawn to a scale 1 : 2000. The length of the field on the scale drawing is 6 cm. Find the actual length of the field in cm
a rectangular prism has 711.68 cubic feet and its 4 feet long and 12.8 feet wide what's the height
[tex]w = 12.8 \: ft[/tex]
[tex]l = 4 \: ft[/tex]
[tex]v = 711.68 \: {ft}^{3} [/tex]
To find:The height of the given rectangular prism.
Solution:[tex]v = lbh[/tex]
[tex]12.8 \times 4 \times h = 711.68 \: {ft}^{3} [/tex]
[tex]51.2 \times h = 711.68 \: {ft}^{3} [/tex]
[tex]h = \frac{711.68}{51.2} [/tex]
[tex]h = 13.9 \: ft[/tex]
Therefore, the height of the given rectangular prism is 13.9 feets.
I need help on this please
Answer:
only C is a function cause a function has only 1 same value.
how many yards are equal to 25 feet?
Answer:
8 & 1/3 yards equals 25 feet
Is the sequence arithmetic? If so, identify the common difference.
11, 15, 19, 23, ...
The edge of a cube measures 3 1/2 inches each. what is the volume of the cube
Answer:
42.875
Step-by-step explanation:
V=BxHxW
3 1/2 =3.5
3.5 x 3.5 x 3.5
=42.875 cubic in.