The requried reduced fraction of the given fraction is given as 17/24.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given fraction,
= 3 / 8 + 1 / 3
= [3 × 3 + 1 ×8] / 8×3
= 9 + 8 / 24
= 17/24
Thus, the requried reduced fraction of the given fraction is given as 17/24.
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Work out the surface area of this cylinder.
12 cm radius
35 cm height
Answer:
The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²
Step-by-step explanation:
The formula of the surface area of the cylinder is
Surface area = later area + 2 base area, whereLateral area = perimeter of the base × height of the cylinderLet us use the rules above to solve the question
∵ The base of the cylinder is a circle
∵ The perimeter of the circle = 2 π r
∵ The radius of the cylinder is 12 cm
∴ r = 12
∴ The perimeter of the base = 2 (12) (π)
∴ The perimeter of the base = 24π cm
∵ The height of the cylinder is 35 cm
∴ h = 35 cm
→ By using the rule of the lateral area above
∵ The lateral area = 24π × 35
∵ π = [tex]\frac{22}{7}[/tex]
∴ The lateral area = 24 × [tex]\frac{22}{7}[/tex] × 35
∴ The lateral area = 2640 cm²
∵ The area of the circle = π r²
∴ The area of the base = [tex]\frac{22}{7}[/tex] × (12)² = [tex]\frac{22}{7}[/tex] (144) = 452[tex]\frac{4}{7}[/tex] cm²
→ By using the rule of the surface area above
∴ The surface area = 2640 + 2(452[tex]\frac{4}{7}[/tex]) = 3545[tex]\frac{1}{7}[/tex] cm²
∴ The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²
Kathryn deposits 100 into an account at the beginning of each 4-year period for 40 years. The account credits interest at an annual effective interest rate of i. The accumulated amount in the account at the end of 40 years is X, which is 5 times the accumulated amount in the account at the end of 20 years. Find X
Answer:
X=6.195
Attached please find equation.
Step-by-step explanation:
Let 1+i∗=(1+i)4 so that the calculation using annuity
Which is the standard form for this number?
(9 × 10) + (3 × 1) + (5 ×
1
10
) + (6 ×
1
1,000
)
Answer:
66,143
Step-by-step explanation:
is question the following: (9 x 10) + (5 x 10) + (6 x 11,000)??
How many ice cubes will fill the box?
O A 24,000
O B. 12.000
O c. 2,400
D. 900
E. 90
Answer:
OA 24000 righttttttttttttttt
Can Someone tell me or teach about this I don't get it.
Draw a point B, then draw any two other points D and E. The rays BD and BE are essentially arrows that both start at B and pass through D and E, respectively. See the attached sketch. Note that the points D and E need not lie on a circle like the dotted one in the sketch; they can be placed anywhere along the ray.
Then:
• (I) is sometimes true. Rays can be parallel as long as they are collinear, meaning the three points B, D, and E would need to lie on the same line. (The first sketch shows one example)
• (II) is always true.
• (III) is sometimes true, if the angle the two rays form is a right angle. (The second sketch shows one example)
• (IV) is never true, because B would have to lie on the circle itself. The center does not.
Without knowing what Damiana's/Valeria's drawing looks like, the most we can do is rule out C and D.
I can't figure this out
Please help!!
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
Find the equation of the line specified. The slope is -4, and it passes through ( 5, 8).
a. y = 4x + 8
b. y= -4x + 28
C. y = -4x - 12
d. y= -8x + 28
Please select the best answer from the choices provided A W B C С D
Answer:
B. y= -4x + 28
Step-by-step explanation:
To find the equation of this line first put it into slope-point form, [tex]y-y_{1} =m(x-x_{1})[/tex] where [tex]y_{1}[/tex] and [tex]x_{1}[/tex] are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,
First, distribute the -4
y-8=-4x+20
Next, add 8 to both sides
y=-4x+28
No solution:
3(x-4/3)=3x+?
Answer:
yes I try but not any solution come
please mark me brainliest and follow me my friend.
How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12
Answer:
x = 4y + 6
Step-by-step explanation:
x-4y=6
2x-8y=12
multiply 2 on both side in equation 1, and multiple - on both side in equation 2:
2x-4x=12
-2x+8y=-12
so the equation becomes:
4y=0
y=0
put the value of y in both of the equations:
x=6 equation 1
x=6 equation 2
so,
x = x
then,
x = 4y + 6 equation 1
-2 ( x - 4y ) = -12
x - 4y = -12/ -2
x - 4y = 6
x = 4y + 6
so the ans is:
x = 4y +6
the cost of flying from san francisco to los angeles starts from $109 per person. Write an inequality that represents the possible costs for one person. Please help me, im confused
Answer:
109<x replace the < with the greater than or equal to sign
Step-by-step explanation:
Let x represent the cost for one person. That cost has to be either equal to 109 or greater than it.
Candy's Sweets Company charges $1.15 per pound to ship candy.
Part A: Write an equation to determine the total cost, c, to ship p pounds of candy. Use your equation to determine the cost of shipping 2 pounds of candy. (6 points)
Part B: If the company reduces the cost to ship candy by $0.25 per pound, write an equation to determine the total cost, c, to ship p pounds of candy with the reduced cost. (4 points)
Your answer:
Answer:
Part A:
c = 1.15p
c(2) = $2.30
Part B:
c = 0.90p
Part B:
Step-by-step explanation:
Linear Models
Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.
Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:
c = 1.15p
The cost of shipping p=2 pounds of candy is:
c = 1.15*2 = 2.30
c = $2.30
Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.
The new equation to determine the total cost for p pounds of candy is:
c = 0.90p
what is the slope.of (-3,1) and (2,-2)
Answer:
3/5
Step-by-step explanation:
m=3/5
slope---3/5
What is n?
Input
- 1
0
1
2
3
4
Output
8
9
10
11
n
13
Answer:
Please show more info you can send photos so we can see better thanks
PLEASE HELP ME!!!
If $4,000 is invested in an account that pays interest compounded
continuously, how long will it take to grow to $8,000 at 4%? Round to the
nearest tenth.
A. 14.2 years
B. 2.8 years
C. 17.3 years
D. 13.0 years
The time taken to grow to $8000 is 17 years and 4 months.
The formula used to find the time compounded continuously.
t = ln(A/P) / r
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $4000
A = $8000
r = 4%
The formula used:
t = ln(A/P) / r
t = ln(8,000/4,000) / 0.04
t = 17.329 years
This means,
= 17 years 4 months
Thus,
The time taken to grow to $8000 is 17 years 4 months.
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What is the greatest common factor of x^6 and x^3?
A. X^4
B. X^3
C. X^2
D. X
Answer:
x^3 is your answer of question
Help if possible, thanks.
Answer:
1,2,3,6 are congruent
Step-by-step explanation:
HELP FAST!!!
What is the vertex???
Answer:
(2, -3)
Step-by-step explanation:
Its the point shown
(can I get brainliest please)
Answer:
(2,-3) is the vertex for this
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Question 7 options:
A)
h/k=k/i
B)
k/j=i/j
C)
h/j=k/i
D)
j/h=j/k
Answer:
C. [tex] \frac{h}{j} = \frac{k}{i} [/tex]
Step-by-step explanation:
Given that [tex] \overline{TU} [/tex] is parallel to [tex] \overline{QR} [/tex], therefore:
[tex] \frac{ST}{TQ} = \frac{SU}{UR} [/tex]
ST = h
TQ = j
SU = k
UR = i
Therefore substituting these into the equation, we have:
[tex] \frac{h}{j} = \frac{k}{i} [/tex]
Find the LCD of the given rational equation
Answer:
[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Step-by-step explanation:
Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]
[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]
Step 2: Find the Least Common Multiplier of [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]
= [tex](x + 4) (x + 2) (x - 2)[/tex]
Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)
= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]
Step 3b: The denominators are equal, so combine the fractions.
[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]
[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Have a great day!
Mr.Kim’s age in years is 6 more than 3 times the age of his daughter. Mr.Kim is 48 years old. How old, in years, is Mr.Kim’s daughter?
Answer:
I believe she would be 10 then
Step-by-step explanation:
I hope this helps. If it does please mark me the brainliest!
Peace and Love !!!!!!!
Answer:
14 years old
Step-by-step explanation:
Make an equation based on the info given, letting x stand for the daughter's age. Then solve the equation:
48 = 6 + 3x
*subtracting 6 from both sides*
42 = 3x
*dividing both sides by 3*
14 = x
Which numbers are in order from least to greatest?
1: 0.3, 3.0, 0.003, 3.33
2: 0.003, 0.3, 3.0, 3.3
3: 0.004, 4.5, 0.45, 0.4
4: 3, 0.3, 0.003, 0.04
Determine whether each of the following equations is a function from x to y.
a. y = 2x + 1
b.1 = 2y – 4x
c. y2 – 1 = x
Answer:
a. y = 2x + 1: Not from x to y
b.1 = 2y – 4x: Not from x to y
c. y^2 – 1 = x: This is a function from x to y
Step-by-step explanation:
We are to determine whether or not the equations are function from x to y
Given the function y = f(x)
y is a dependent variable while the input variable is an independent variable. So we can say y is a function from y to x.
Also x = f(y) can be expressed as equation of a function from x to y i.e x is dependent and the input variable is independent
From tthe following options, the equation that is a function from x to y is
y² – 1 = x
This can also be written as x = y² – 1 where f(y) is y² – 1
The rest are not a function of x to y but otherwise unless re-written
work out the gradient of the straight line that passes through (2,6) and (6,12)
Answer:
The gradient of the straight line that passes through (2, 6) and (6, 12) is [tex]m = \frac{3}{2}[/tex].
Step-by-step explanation:
Mathematically speaking, lines are represented by following first-order polynomials of the form:
[tex]y = b + m\cdot x[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
The gradient of the function is represented by the first derivative of the function:
[tex]y' = m[/tex]
Then, we conclude that the gradient of the staight line is the slope. According to Euclidean Geometry, a line can be form after knowing the locations of two distinct points on plane. By definition of secant line, we calculate the slope:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of point A.
[tex]x_{B}[/tex], [tex]y_{B}[/tex] - Coordinates of point B.
If we know that [tex]A(x,y) = (2,6)[/tex] and [tex]B(x,y) = (6,12)[/tex], then the gradient of the straight line is:
[tex]m = \frac{12-6}{6-2}[/tex]
[tex]m = \frac{6}{4}[/tex]
[tex]m = \frac{3}{2}[/tex]
The gradient of the straight line that passes through (2, 6) and (6, 12) is [tex]m = \frac{3}{2}[/tex].
Solve each system of equations by GRAPHING. Clearly identify your solution.
(4x-y=3)
(3x+y=4)
Please help I need this answer and an explanation of how you got it
DUE AT 11:59 I NEED HELP ASAP PLEASE HURRY
Answer:
4
Step-by-step explanation:
8/3x=4+5/3x
8/3-5/3x=4
x=4
3/2 + 3/2 + 3/2 = * 1/2
Answer:
3/2 + 3/2 + 3/2 = 4 1/2
The grocery store has 20% off from the original price on serial equation for finding the sale price would be Y equals X-(20x). What is the sale price of the cereal cost $4.00?
Answer:
i want baloney
Step-by-step explanation:
hihihihihihihihihihiui I'm carole baskin hihihihihi
Part A: The Rodriguez family buys 4 adult tickets, 4 senior tickets, and 5 child tickets to the aquarium. The expression 4(a + 12) + 5(8) represents the total cost of the tickets. Use properties and operations to rewrite this as an equivalent expression.
part B: Evaluate the expression from part A for a=15. How much did the Rodriguez family spend on tickets to the aquarium? show your work.
Answer: Part A An equivalent expression of 4(a + 12) + 5(8) is 4a + 4(12) + 5(8)
or 4a + 48 + 40
Part B: using 15 in place of a, the Rodriguez family spent $148 on tickets.
Step-by-step explanation: We can use the distributive property to create equivalent expressions.
Part B: Substitute 15 in place of a and do the calculations
4(15 + 12) + 5(8)
60 + 48 + 40
148
2+2=?
A) The answer is Fish
B) The answer is 3
C)The answer is 5
D) The answer is all of the above
Answer:
It HAS to be ALL OF THE ABOVE, for me.
Step-by-step explanation:
Answer:
Yes the answer is D ) all of the above :)
Step-by-step explanation:
A school is arranging a field trip to the zoo. The school spends 698.24 dollars on passes for 29 students and 3 teachers. The school also spends 255.49 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
30.63
Step-by-step explanation:
698.24 divided by 32. because they counted the teacher and the student passes together. Then you add that number to 255.49 divided by 29 because the teachers pass is not included so then you get youre answer of 30.63