The expressions are algebraic expressions, and the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]
How to determine the sum?The expression is given as:
[tex]\frac{3}{x} + \frac{4}{x^2}[/tex]
Take the LCM of the expressions
[tex]\frac{3}{x} + \frac{4}{x^2} = \frac{3x + 4}{x^2}[/tex]
The above expression cannot be further simplified
Hence, the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]
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Answer:
C on edge
Step-by-step explanation:
3x+4/x^2
In a class of 200 pupils, 60% passed in an examination. How many failed?
Answer:
80 pupils
Step-by-step explanation:
60% of 200 is 120
200 - 120 is 80.
You are dealt one card from a satndard 52-card deck. Find the probability of being dealt an ace or a 7
Answer:
2/13 or 15.38%
Step-by-step explanation:
Number of Aces in a deck = 4
Number of 7s in a deck = 4
Number of cards in a deck = 52
Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards 8 cards / 52 cards
This simplifies to 2/13 or 15.38%
Is -52/4 equal to -13
Answer:
Yes
Step-by-step explanation:
-52/4 = -(13 × 4)/4
Cancel out 4 we get,
-13 = -13
Thus, -52/4 = -13.
what is the radius of the circle?
Using Pythagoras theorem:-
H²= P²+ B²
Putting the value in equation
[tex] {x}^{2} = {5}^{2} + {3}^{2} \\ {x}^{2} = 25 + 9 \\ {x}^{2} = 34 \\ x = \sqrt{34} = 5.83[/tex]
Answer:- Radius =x= √34 = 5.83The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there are 3 dots above the second mark, 2 dots above the third mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.6. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)
0.3
1.2
1.7
2.0
Answer: 2.0 (choice D)
Reason:
We divide the two mean absolute deviation (MAD) values to get (1.2)/(0.6) = 2.0
The variability in the first set (the 6th graders) is exactly twice that of the variability of the second set (the 7th graders).
The MAD is one measure of variability or spread. Another would be the standard deviation. The larger the value, the more spread out the data points will be.
Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)
Answer:
The first one is 24
Step-by-step explanation:
The second one is 1/16
so I have an idea first number five which is 3 / 1/8 which actually equals 24. and for number six the answer is 1/16
what is the slope of the line that goes through the points (-1, 4) and (2, 10)
Answer:
gradient= 2
Step-by-step explanation:
Jaylen earns $4250 each month at his job. At this rate, how much will he
make in a year and a half?
O
A. $51,000
B. $54,000
C. $76,500
D. $81,000
Answer:
C. 76,500
Step-by-step explanation:
18 months in 1 [tex]\frac{1}{2}[/tex] years.4250 x 18 = 76,500What is the fifth term of the sequence described by the following explicit formula? an = 4 + (n + 1)(-5)
a. -26
b. -30
c. -34
d. -20
Answer:
a
Step-by-step explanation:
substitute n = 5 into the explicit formula , then
a₅ = 4 + (5 + 1)(- 5) = 4 + 6(- 5) = 4 - 30 = - 26
A center has a center at X(4, -3) and a point on the circle is W(8, 0). What is the location of Y on the diameter WY?
Answer: (0, -6)
Step-by-step explanation:
The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).
Simplify using the value of x.
2x/3; x = 3
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Simplify using the value of x. 2x/3, x=3.
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
[tex]\bigstar[/tex] Replace x with 3 and evaluate:-
[tex]\sf{\dfrac{2(3)}{3}}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\sf{\dfrac{6}{3}}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\boxed{\bold{\underline{2}}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Answer:
the answer is 2.. ......... .
Riddle: a half is a third of it. What is it?
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
let n be the number , then
[tex]\frac{1}{3}[/tex] n = [tex]\frac{1}{2}[/tex] ( multiply both sides by 3 )
n = 3 × [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex]
A cone has a volume of 847.8 cubic millimeters and a radius of 9 millimeters. What is its
height?
User pie= 3.14 and round your answer to the nearest hundredth.
hz
millimeters
Answer:
10
Step-by-step explanation:
Volume of a cone is:
V = 1/3pi•r^2•h
Fill in the given information.
847.8
= 1/3(3.14)9^2•h
847.8 = 84.78h
divide by 84.78
10 = h
helppppppppppppppppppppppppppp!!!!!!!
Answer:
the distance is 4
Step-by-step explanation:
Does anybody know this?Two complementary angles are in the ratio of 4:6 find the measure of the smallest angle and the value of x.
Answer:
36
Step-by-step explanation:
A ratio 4:6 means the one quantity is 4/10 of the full thing:
While the other quantity is 6/10 of the full thing
So the smaller angle will be 4/10 of the the complementary angle.
Complementary angle is 90.
So 4/10 of 90 is 36.
The sum of the roots of the equation x2 + x = 2 is:
Sandra has $500 in a savings account that earns 1% annual interest. She
leaves that money in the account for 5 years. If inflation averaged 2% pel
year, what happened to the purchasing power of her savings?
•
It increased
It decreased
It stayed the same
It matched inflation
The purchasing power of Sandra's savings according to the description above has decreased.
What happens to the purchasing power of Sandra's savings?It follows from the task content that Sandra's savings attracted an annual interest rate of 1% while the inflation is 2% per annum. On this note, it follows that Sandra's savings purchasing power has reduced as the prices of commodities have gone up and the interest rate is unable to match it.
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What is the answer for this problem
Answer: Y= -3/7+5
Step-by-step explanation:
What is the mean? Ill give brainliest
Answer:
7
Step-by-step explanation:
you add all the numbers together and get 70, and then you divide that answer (70) by the amount of numbers that are listed (10), and you get the answer 7. Also if this is wrong its because i'm in class and about to leave so i'm in a rush.
We have a circle with center K with an arc HJ with a measure of 40°. What is the measure of angle HIJ?
40°
60°
80°
20°
The measure of angle HIJ is 20°. The correct option is the last option 20°
Circle GeometryFrom the question, we are to determine the measure of angle HIJ
From one of the Circle theorems, we have that
The angle at the center of a circle is twice the angle at any part of the circumference
From the information,
The measure of arc HJ is 40°. That is, the angle at the center is 40°.
Then, using the above theorem,
Measure of angle HIJ = 40° / 2
Measure of angle HIJ = 20°
Hence, the measure of angle HIJ is 20°. The correct option is the last option 20°
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Answer:
20°
Step-by-step explanation:
PLS HELP 1!1!!1!1!1!1!1!1!
Now consider the logos for Parkside Printing shown.
Determine the actual area of Logo 1 in square meters
The area of the Logo 1 will be 12.48 square meters and the area of the Logo 2 will be 9.6 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Now consider the logos for Parkside Printing shown.
Determine the actual area of Logo 1 and Logo 2 in square meters will be
The area of the Logo 1 (A₁) will be
[tex]\rm A _1 = 12 \times 8 - 6 \times 3\\\\A_1 = 78 \ cm^2\\\\A_1 = 78 \times 0.16 \ m^2\\\\ A_1 = 12.48 \ m^2[/tex]
Then the area of the Logo 2 (A₂) will be
[tex]\rm A_2 = \dfrac{1}{2} \times 12 \times 10\\\\A_2 = 60 \ cm^2\\\\A_2 = 60 \times 0.16 \ m^2\\\\A_2 = 9.6 \ m^2[/tex]
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What is the diameter of a sphere with a volume of 80487 in", to the nearest tenth of an inch?
helpppp !!! i’m confused!!!!!!!!!
[tex]\dfrac{-4\tfrac13}{-\tfrac 34}\\\\\\=\dfrac{\tfrac{13}3}{\tfrac 34}\\\\\\=\dfrac{13}3 \times \dfrac 43\\\\\\=\dfrac{52}9\\\\\\=5 \dfrac 79[/tex]
Find the slope of the line passing through (-2 , 1) and (1,1)
Answer:
The slope of the line is: M = 0
Step-by-step explanation:
Using the "Slope from 2 points" formula which is \/
M = (y2 - y1) / (x2 - x1)
We just need to input the numbers to find the slope!
M = ( 1 - 1 ) / (1 - - 2 )
Now solve within the parentheses:
M = ( 0 ) / ( 3 )
Which is basically just 0.
I hope the formula: M = ( y2 - y1) / (x2 - x1)
Helps you in the future so you wont have to ask questions like this again.
HELP QUICK!! ASAP! I NEED HELP ON THIS EQUATION. I WILL MAKE BRAINLIST
An airplane is ascending at a constant rate of 15 feet per second what is the change in altitude during 10 minutes of flight
Answer:
9000 ft
Step-by-step explanation:
Given: A airplane is ascending at a constant rate of 15 feet per second,
What we need to know: The change in altitude during 10 minutes of flight,
60 seconds = 1 minute
60 × 10
= 600 seconds
600 × 15
= 9000 ft
Therefore there was a 9000 ft change in altitude during the 10 minutes of the flight.
The population of a certain city can be modeled by P = 130,000(1.018)t.
Describe what is happening to
the
population as the number of years, t, increases.
A. The population is decreasing
B. The population is increasing
C. The population remains constant
D. The population change is inconsistent
Answer:
D.the population change is inconsistent
What is the slope of the line that passes through the points (0, -4) and (30, -9)?
Write your answer in simplest form.
[tex]\text{Given that,}~ (x_1 ,y_1) = (0,-4)~ \text{and}~ (x_2 ,y _2) = (30,-9)\\\\\text{Slope,}~ m = \dfrac{y_2-y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{-9-(-4)}{30-0}\\\\\\~~~~~~~~~~~~~=\dfrac{-9+4}{30}\\\\\\~~~~~~~~~~~~~=\dfrac{-5}{30}\\\\\\~~~~~~~~~~~~~=-\dfrac 16[/tex]
The slope of the line that passes through the points (0, -4) and (30, -9) is -1/6
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=(y₂-y₁)/(x₂-x₁)
x₁=0, y₁=-4, x₂=30, y₂=-9
Substitute in slope formula
m=(-9-(-4))/(30-0)
m=-9+4/30
m=-5/30
m=-1/6
Hence the slope of the line that passes through the points (0, -4) and (30, -9) is -1/6
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(-9m+9) + (8m+8) simplify
Answer:
M+16m
Step-by-step explanation:
-9m+9 cancel eachother out because it is a negative and a postive value, so you would just put the variable. For 8m+8 it would be 16m because the sre both positive so you would add them like normal
Step-by-step explanation:
[tex] = ( - 9m + 9) + (8m + 8)[/tex]
[tex] = - 9m + 9 + 8m + 8[/tex]
[tex] = - 9m + 8m + 9 + 8[/tex]
= m + 17
hence m + 17 is the answer....
hope it helped !!!
In F,if BF = 6 cm, then FD= __cm.
Answer:6
Step-by-step explanation:
All radii of a circle are congruent.