Step-by-step explanation:
1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n
make the 3rd term an improper fraction
1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n
multiply equation by 30, cancel the denominators, resulting in:
6n + 6(51) = 6(152) - 5n
6n + 306 = 912 - 5n
6n + 5n = 912 - 306
11n = 606 is the number
n = 606/11
n = 55 1/11
Answer:
68
Step-by-step explanation:
let unknown number be x
⅕x + 5½= 30⅖ - ⅙x
⅕x + 11/2= 152/5 - ⅙x
collect like terms
⅕x+⅙x= 152/5 - 11/2
[tex] \frac{11}{30}x = \frac{249}{10} [/tex]
cross multiply
30 * 249=(11 * 10)x
7470=110x
x=7470/110
x= 68
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Edgar has test scores of 87, 92, 90, 84, 88, and 91. What is the lowest grade Edger can get on the next test to have an A average (90 or higher)?
A. 94
B. 96
C. 98
D. 100
Answer:
98
Step-by-step explanation:
Let x be the next test score
87, 92, 90, 84, 88, and 91, and x
We want to average them and the average to 90
(87+ 92+ 90+ 84+ 88+ 91+x)/7 = 90
Multiply each side by 7
(87+ 92+ 90+ 84+ 88+ 91+x)/7*7 = 90*7
(87+ 92+ 90+ 84+ 88+ 91+x) = 630
Combine like terms
x+532=630
Subtract 532
x = 630-532
x= 98
Will Mark Brainlest Help Please Please
Answer:
a=2
b=-3
c=2
d=0
Step-by-step explanation:
3a+b=3......1
3c-d=6.......2
a-b=5....... 3
a+b+d=2d-1
a+b=2d-d-1
a+b=d-1......4
taking equation 1 and 3 we get,
3a+b =3....... 1
a-b=5
a=5+b
substitute the value of a in equation 1 we get,
3*(5+b)+b=3
15+3b+b=3
4b=3-15
4b=-12
b=-12/4
b=-3
now putting the value of b in equation 3 we get,
a-b=5
a+3=5
a=5-3
a=2
substitute the value of a and b in equation 4 we get,
a+b=d-1
2-3=d-1
-1=d-1
d=-1+1
d=0
substitute the value of d in equation 2 we get,
3c-d=6
3c-0=6
3c=6
c=6/3
c=2
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
A. The number of women and the number of men included in the data
Step-by-step explanation:
The boxplot is a useful way to display data. It represents the distribution of data in a five-number summary. These five numbers include the minimum, first quartile, median, third quartile, and maximum. Respectfully, each line on the graph, from left to right, represents one of these numbers. However, because the graph only shows the distribution of data, it does not include the sample size.
Math! Need help will give brainliest if CORRECT
Hey there! I'm happy to help!
So we want to see which of these have the greatest value. Since these are all negative numbers, we want the one that is closest to zero.
So, we know that -1000 is going to furthest from 0. -10 will be further than -8 since it is a larger negative number, so it will be more negative than -8.
-1/2 is just barely negative, so it is going to be closer to -0 than -8, so the correct answer is C. -1/2.
Have a wonderful day and keep on learning! :D
HELP !!! find the surface area of each figure. Round it to the nearest tenth.
Answer:
556
Step-by-step explanation:
Surface area=2*(lb+bh+lh)=2*(110+80+88)=556
Write (2X -5)^2 as a tri nominal
Answer:
(2X -5)^2 as a tri nominal:
2x+2x-10
Answer:
4x² - 20x + 20
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
a = 2x ; b = 5
(2x- 5)² = (2x)² - 2*2x*5 + 5² {(2x)² = 2x * 2x = 4x²}
= 4x² - 20x + 25
regroup and factorise:
x(x+2)+x+2
⇒x (x+2) + x + 2
⇒x² + 2x + x + 2
⇒x² + 3x + 2
✯ Now factorising☛ By Splitting the middle term method
⇒x² + 3x + 2
⇒x² + 2x + x + 2
⇒ x(x+2)+1(x+2)
⇒ (x+1) (x+2)
The perimeter of a rectangle is 250 yards. The length is ten less than twice the width. The rectangle's:
A. length is 80 yards and the width is 45 yards.
B. length is 115 yards and the width is 10 yards.
C. length is 70 yards and the width is 60 yards.
Answer:
A lengthy is 89yards and the width is 45yards
Set A and the universal set U are defined as follows.
U={1,2,3,4,5,6)
A= {2,4,6}
Find the following sets.
Write your answer in roster form or as Ø.
Part (a)
Answer: ØThis is the empty set
------------------
Explanation:
It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.
This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.
We can write Ø as { } which is a set of curly braces with nothing inside it.
=========================================================
Part (b)
Answer: {1,2,3,4,5,6}-----------------
Explanation:
When you union the universal set with any other set, you'll get the universal set.
The rule is [tex]A \cup B = B[/tex] where I've made B the universal set to avoid confusion of the letter U and the union symbol [tex]\cup[/tex] which looks nearly identical.
Why does this rule work? Well if an item is in set [tex]\overline{A}[/tex], then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.
It's like saying
A = set of stuff inside a persons house[tex]\overline{A}[/tex] = set of stuff outside a persons house (ie stuff that is not in set A)U = set of every itemwe can see that [tex]\overline{A} \cup U[/tex] will basically form the set of every item, aka the universal set.
please please help
Three guy wires are being used to support a radio tower. One end of each wire is
attached to the top of the radio tower and the other end is anchored to the
ground 50 m from the base of the tower. If the wire must make a 65° angle with
the level ground, what is the length of each guy wire?
Answer:
sorry. I dont know.
Step-by-step explanation:
sorry. I dont know.
Mark all the statements that are true please help
Step-by-step explanation:
the correct answer is option c
A smooth vector field on the phase plane is known to have exactly three closed orbits. Two of the cycles, say C1 and C2 , lie inside the third cycle C3 . However, C1 does not lie inside C2 , nor vice-versa. a) Sketch the arrangement of the three cycles. b) Show that there must be at least one fixed point in the region bounded by C1 ,C2 , C3 .
Answer:
a) attached below
b) Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
Step-by-step explanation:
A) sketch of the arrangement of the cycles
attached below
b) prove that at least one fixed point in the attached region is bounded
Given that : Ic3 = Ic2 = Ic1 = 1
hence : Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
This is a prove that at least one fixed point is bounded by C1 , C2 , C3
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
You roll a cube which has the numbers 9, 10, 12, 15, 17, and 18 on it You then spin a spinner which has 4 sections. The letters on the spinner are H, K, F, and A. P(F and 17)
Answer:
Step-by-step explanation:
The fact that the numbers look random and the spinner also looks random doesn't matter. The only thing of importance in both cases is that all the numbers are different (and cannot be made by adding any two together) and all the letters are different
That means you have 6 numbers and 4 letters.
You have a 1/6 chance of throwing the 17
You have a 1/4 chance of spinning the F
P(F and 17) = 1/6 * 1/4 = 1/24
Determine the quotient of .    
a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 gallons of gas
Reba wants to examine the TV-viewing habits of 18- to 25-year-old males in the United States. As it is quite impossible to include all males of this age group in her study, she selects a smaller group of 18- to 25-year old males to survey. The males included in her study are called a(n)
Answer:
Sample
Step-by-step explanation:
A sample refers to a small subset of a particular population of study. The sample must be chos n at random in other to ensure that it is representative of the entire population. In the scenario above, all males in the United States aged 18 - 25 years form the population of interest required for the study. However, due to the fact that it is impractical to include all in the study, then a smaller subset is selected form the population, which is referred to as the sample.
(7)
* 8. Evaluate Mahesh rides a bus to work. The number of minutes his daily
bus ride took over a two-week period are recorded below:
M T W Th F
Week 1 12 8 10 9 12
Week 2 8 7 12 9 10
a. Find the mean, median, mode, and range of the data.
b. Which measure would Mahesh use to describe how many minutes
the duration of his bus ride may differ from day to day?
a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.
b. The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
From the question,
The data for the first week are
Week 1: 12, 8, 10, 9, 12
and for the second week
Week 2: 8, 7, 12, 9, 10
Putting the data together, we have
12, 8, 10, 9, 12, 8, 7, 12, 9, 10.
Now,
]a. To determine the mean of the above data,
Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.
From the above, we have 10 numbers
∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]
[tex]Mean = \frac{97}{10}[/tex]
Mean = 9.7 minutes
For the median of the data
The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.
For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10
Arranging in ascending order, we get
7, 8, 8, 9, 9, 10, 10, 12, 12, 12.
Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.
∴ [tex]Median = \frac{9+10}{2}[/tex]
[tex]Median = \frac{19}{2}[/tex]
Median = 9.5 minutes
For the mode of the data
The mode is the value that occurs most often.
From the data, 12 occurs most often (three times)
∴ Mode = 12 minutes
For the range of the data
Range is the difference between the highest and lowest values.
From the data
Highest value = 12
Lowest value = 7
∴ Range = 12 - 7
Range = 5 minutes
b. For the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day.
Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.
∴ The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
Hence,
From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes
and the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
Learn more here: https://brainly.com/question/16882439
45. Two similar cups are 3cm and 5cm deep. If the larger cup holds 625cm' of water, what is the volume of the smaller one? A. 27cm3 B. 125cm3 C. 135cm3 D. 208cm3 E. 490cm3
Answer:
c 135cm^3 is the correct answer
Answer:
Step-by-step explanation:
volume of smaller cup=625×(3/5)³=625×27/125=5×27=135 cm³
I need help ASAP!!! Please tell me the answer Congruent Triangle Proof
Answer:
see explanation
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
NQ is an angle bisector then ∠ MNQ = ∠ PNQ
∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then
MN = PN
----------------------------------------------
∠ MNQ = ∠ PNQ
MN = PN ( included sides between the 2 angles )
∠ M = ∠ N
Δ MNQ ≅ Δ PNQ by the ASA postulate
Answer:
Step-by-step explanation:
In Δ MNP,
∠NMQ ≅ ∠NPQ
⇒ NM = NP - ------> (I) {Sides opposite to equal angles are equal}
In ΔMNQ & ΔPNQ,
∠MNQ ≅ ∠PNQ {NQ is angle bisector}
NM = NP {from (I)}
∠NMQ ≅ ∠NPQ {Given}
ΔMNQ ≅ ΔPNQ - Angle Side Angle {ASA congruent}
A book cost Rs.950 is sold for Rs 980. find profit/loss%
Answer:
96.94%
Step-by-step explanation:
Steps to solve "what percent is 950 of 980?" If you are using a calculator, simply enter 950÷980×100 which will give you 96.94 as the answer.
Answer:
96.94%
Step-by-step explanation:
twelve cubes are stacked to make this figure
Answer:
rectangular prism
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
The sum of 4 and a number
5×12÷[-12÷{15+(4-3)}]
Answer: -80
Step-by-step explanation:
Please help asap!!!!
Answer:
1. B,D
2. D
3. C
4. J
Step-by-step explanation:
Which of the following are irrational numbers?
5
8.555...
N
1
Submit
Work it out
Not feeling ready yet? This can help:
Answer:
8.555.... is a irrationtional number .
Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.
Answer:
g(x) = -2(x - 6) - 7
Step-by-step explanation:
Sorry if I'm wrong
What is the domain of the rational function f of x is equal to 2 x over the quantity 2 x cubed minus 5 x squared minus 12 x end quantity
x is an element of all real numbers such that x is not equal to 0
x is an element of all real numbers such that x is not equal to negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma three halves comma negative 4
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.
----------------------
The domain of a function is all possible values that the input value x can assume.The domain of a fraction is all real values of x except the zeros of the denominator.----------------------
The function is:
[tex]f(x) = \frac{2x}{2x^3 - 5x^2 - 12x} = \frac{2x}{x(2x^2 - 5x - 12)} = \frac{2}{2x^2 - 5x - 12}[/tex]
The points outside the domain are the zeros of [tex]2x^2 - 5x - 12[/tex], which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
----------------------
[tex]2x^2 - 5x - 12[/tex] is a quadratic equation with [tex]a = 2, b = -5, c = -12[/tex].
[tex]\Delta = b^{2} - 4ac = (-5)^2 - 4(2)(-12) = 121[/tex]
[tex]x_{1} = \frac{-(-5) + \sqrt{121}}{2(2)} = 4[/tex]
[tex]x_{2} = \frac{-(-5) - \sqrt{121}}{2(2)} = -\frac{6}{4} = -\frac{3}{2}[/tex]
----------------------
The domain is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.
A similar problem is given at https://brainly.com/question/13136492
Answer:
Step-by-step explanation:
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that , second option.
----------------------
The domain of a function is all possible values that the input value x can assume.
The domain of a fraction is all real values of x except the zeros of the denominator.
----------------------
The function is:
The points outside the domain are the zeros of , which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
----------------------
is a quadratic equation with .
----------------------
The domain is: x is an element of all real numbers such that , second option.
A similar problem is given at brainly.com/question/13136492
AN
X =
= [?]
30°
X
B
C
angles are not drawn to scale
Answer:
x=60°
Does the answer help you?
Answer:
x=60°
Step-by-step explanation:
Hi there!
We are given that <ABD and <DBC are complementary angles.
If two angles are complementary, it means that they add up to 90 degrees.
In that case, <ABD + <DBC=90°.
We're also given that m<ABD=30° and m<DBC=x.
Substituting those values into the equation will give us:
30°+x=90°.
Subtract 30° from both sides.
x=60°.
Hope this helps!
