The value of the a is 2.
What is the fraction?
Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many parts of a particular size there are when used in conversational English.
We have,
8⁻¹ / 4⁻¹ - a⁻¹ = 1
By simplifying the given equation we get,
8⁻¹ - a⁻¹ = 1 * 4⁻¹
By further calculating the equation,
1/8 - 1/a = 1/4
4(1/8 - 1/a) = 1
4/8 - 4/a = 1
1/2 - 4/a = 1
4/a = 1/2
1/a = 4/2
a = 2/4
a = 2
Hence, the value of the a is 2.
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Which table of values represents a linear function?
Therefore the table values of which represents a linear function are table 2 and table 3
What is linear equation?A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.
Here,
The values shown in table 2 have same constant rate of change of 3 units.
where as,
The values shown in table 3 have same constant rate of change of 5 units.
Therefore the table values of which represents a linear function are table 2 and table 3
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8 1/2 - 6 1/4 = ? I would like to know the anwer of thi equation becaue i’m having trouble olving it. Thank you
Answer:
2 1/4
Step-by-step explanation:
Subtract the whole numbers first:
8 - 6 = 2
To subtract the fractions, change 1/2 to 2/4 since they equal the same thing and 2/4 has the same denominator as 1/4:
2/4 - 1/4 = 1/4 <--- all we needed to do was subtract the numerators
Your final answer is 2 1/4.
A line with a slope of 0 passes through the point (9, 8). What is its equation in slope-intercept form?
Answer: y = 0x + 8
Step-by-step explanation:
The slope-intercept form is y=mx + b
The slope is 0, and y-intercept is at (0,8)
So our equation is
y = 0x + 8
Help please!!!!!!!!!!
Answer:
36
Step-by-step explanation:
4/9 x = 16
9/4 * 4/9 x = 16 * 9/4
x = 36
Solve the system of equations.
4x - 9y - 2 = 0
12x - 5y + 38 = 0
x =
y =
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there?
A.
52
B.
49
C.
51
D.
47
Answer:
B. 49
Step-by-step explanation:
21/3 = 7
7*7 = 49
work out the value of (4^0 x 6^0)
Answer: 1
Step-by-step explanation:
What is the domain of this function?
Richard and Teo have a combined age of 28. Richard is 13 years older than twice Teo’s age. How old are Richard and Thiago?
Richard is 23years old and Thiago is 5years old
What is word problem?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
From the question,
Let R stands for Richard
T stands for Teo
we were told that the combined age of Richard and Teo is 28
i.e
R + T = 28 ......eqn (i)
we were also told that Richard is 13 years older than twice Teo’s age
i.e
R = 2T + 13 .....eqn(ii)
substituting 2T + 13 for R in eqn (i)
(2T+13)+T = 28
expanding the bracket
3T + 13 = 28
collecting like terms
3T = 28 - 13
3T = 15
T = 15/3
T = 5
Teo age is 5years
From eqn (i)
R + T = 28
R + 5 = 28
R = 28 - 5
R = 23
Hence, Richard age is 23years
From eqn (ii)
R = 2T + 13
substituting for R in the eqn
23=2T+13
collecting like terms
23-13=2T
10=2T
T=10/2
T=5
Hence. Thiago age is 5years
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Find the probability of rolling a um greater than 7 given that you rolled an odd number firt
As the out comes are (3,6), (5,6), (5,3), (5,4), (5,5),(3,5) when you rolled an odd number first so the probability of rolling a sum greater than 7 is 1/6
What is probability and example?The probability is equal to the variety of possible outcomes. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). it will be written as P(heads) = 1/2.
Why do we use probability?Information about the possibility that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.
There are total 36 possible outcomes of two dices when they are rolled.
N=36
now we have to consider the out comes having sum greater than 7
which are;
(2,6),(3,5),(3,6),(4,4) ,(4,5),(4,6),(5,3),(5,4),(5,5) ,(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)
and now selecting only those having first number is odd
so they are:
(3,5),(3,6),(5,3),(5,4),(5,5),(5,6)
now using probability formula;
Probability = favorable outcomes /total outcomes
value putting;
probability = 6/36
probability =1/6
this is our required answer.
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Probability of rolling an odd number on a single die is 3/6, or 1/2. This is because there are three odd numbers (1, 3, and 5) on a standard six-sided die, and the probability of rolling any given number is 1/6.
What is meant by Probability?Probability is a metric used to determine how likely an event or result is to occur. A decimal or fraction between 0 and 1 is typically used to express it, with 0 denoting that the event will not occur and 1 denoting that it will occur without a doubt. For instance, the likelihood of rolling a 6 on a conventional six-sided die is 1/6 since there is only one scenario out of the six conceivable events that will result in rolling a 6. By dividing the number of desired outcomes by the total number of potential possibilities, one may compute probability. In general, the more likely an event is to occur, the greater its probability.
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What is the approximate perimeter of this triangle?
Answer:
Step-by-step explanation:
perimeter = hypotenuse + side a + side b
sin = opposite / hypotenuse
tan = opposite/adjacent
find the hypotenuse
let x = hypotenuse
sin(55 deg) = 56 / x
x * sin(55 deg) = 56
x = 56 / sin(55 deg) use a calculator
x ~ 68.36
find the side adjacent to 55 degrees
let x = adjacent leg
tan(55 deg) = 56 / x
x * tan(55 deg) = 56
x = 56 / tan(55 deg) use a calculator
x ~ 39.21
add them together
perimeter = 56 + 68.36 + 39.21
perimeter ~ 163.57 or 164
doors for the small cabinets are 10.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 12 feet long?
Answer:
5 doors.
Step-by-step explanation:
10.5 times 2.7 is 28.35. 12 times 12 is 144. and 144 divided by 28.35 is 5.08 simplified to 5 doors
A class is planning a trip to the local City Museum of Art. There are 22 people going on this trip.
There are four drivers and two types of vehicles, cars and trucks. The cars set four people,
including the driver and the truck seats six people again including driver. How many trucks and
cars doe the class need for this trip? Write a system of equations to solve.
12/24
The number of trucks and cars need by the class for the trip will be 3 and 2 respectively
How to find the number of trucks and cars the class need for this tripInformation from the question is used as follows
There are 22 people going on this trip.
total number = 22
There are four drivers and two types of vehicles, cars and trucks
drivers = 4
vehicle types = 2
The cars set four people, including the driver and the truck seats six people again including drive
cars = 4 people
truck = 6 people
Total number of people + drivers = 26
let the number of people in the truck be t and the number of people in the car be c
6t + 4c = 26
assuming the trucks were 3
6 * 3 + 4c = 26
4c = 26 - 18
4c = 8
c = 2
The class will need 3 trucks and 2 cars
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of the 360 people that attended a town meeting 96 were senior citizens what percent of the people that attended the town meeting are senior citizens if necessary round to the nearest tenth (1 point)
Will give brainliest need now
Answer: 0.26666667 (0.3)
Find the greatest common factor (GCF) of 10 and 6 =. use the GCF to factor 10+6.
Answer: It would be 2.
Step-by-step explanation: The GCF of 10 and 6 would be 2 because that is the greatest number that 10 and 6 can be divided into. If we added them both to get 16. It would still be 2. I hope this helps!
helppp i need helpppp
let f be a function by f(x)= -5x-3, D is its graph. Determine the coordinates of the point of intersections of D with the x-axis and the y-axis
Indirectly we are asked for x and y intercepts because
The point at which a line crosses x axis is called its x intercept and there y coordinate is 0.Similarly the point at which a line crosses y axis is called its y intercept and there x coordinate is 0Let us find out
f(x)=-5x-3Y intercept:-
put x=0
y=-5(0)-3y=-3(0,-3)
X intercept
put y=0
-5x-3=0-5x=3x=-3/5(-3/5,0)
how do we do this I just forgot please help!
I will pray for you If you do it
Thanks
Answer:
Step-by-step explanation:
=(37 * 45 ) + (63 * 45 )
=1665 + 2835
=4500
Answer:
4720275Step-by-step explanation:
[tex]\tt 37\times 45\times63\times45[/tex]
[tex]\tt 1665\times63\times45[/tex]
[tex]\tt 104895\times 45[/tex]
[tex]\tt 4720275[/tex]
____________________
Hope this helps you!
Have a great day! :)
For a project in his Geometry class, Feng uses a mirror on the ground to measure the height of his school’s flagpole. He walks a distance of 8.65 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.1 meters to the other side of the mirror, until he can see the top of the flagpole clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.
The height of the flagpole, found using the ratio of the sides of similar triangles is 12.975 meters
What are similar triangles?Similar triangles are triangles in which two angles of one triangle are congruent to two angles in the other triangle, such that they have the same shape.
The parameters that can be used to find the height of the flagpole are;
Distance of the mirror from the flagpole = 8.65 meters
Distance of Feng on the other side of the flagpole = 1.1 meters
The height from Feng's eyes to the ground = 1.65 meters
According to the law of reflection, the angle of incident and the angle of reflection are the same
The angle made by Feng and the ground = Angle made by the flagpole and the ground = 90°
The triangle formed by the Feng and the flagpole are therefore similar by AA similarity postulate
The ratio of corresponding sides of similar triangles are the same, therefore;
[tex]\dfrac{1.65}{Height\, of \, the \, flagpole} = \dfrac{1.1}{8.65}[/tex]
[tex]Height\, of \, the \, flagpole = \dfrac{1.65}{1.1} \times 8.65 = 12.975[/tex]
Height of the flagpole = 12.975 meters
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A room is 9 feet by 12 feet. How far is it across from opposite corners?
A. 17
B. 14
C. 15
D. 11
finding x??????????????????????????
Answer:
x = 12.5
Step-by-step explanation:
The inside angles of a triangle should sum 180°
then
2x + (7x+5) + (180 - (11x-25)) = 180
2x + 7x + 5 + 180 - 11x -25 = 180
-2x - 25 = 0
2x = -25
x -25/2
x = 12.5
h(a)=5a²
What is h(6)?
Answer:
h(6) = 180
Step-by-step explanation:
h(a)=5a²
for a=6
h(6) = 5(6)²
h(6) = 5*36
h(6) = 180
Create an equivalent expression for 18^-7. 18^5. -18² 18² 1/18^-2 1/18²
The equivalence of the expression 18⁺⁷ * 18⁵ is
D. 1/18²How to write the equivalence of the expressionPower or exponents as used in mathematics are number written on top of a base number. The power says how many times the base number multiplies itself.
The given expression 18⁺⁷ * 18⁵ is solved using the power rule, the power rule used is equation of bases> In equation of bases the base are kept constant and the mathematical operators act on the powers
This method is used as in this case as shown below
= 18⁺⁷ * 18⁵
= 18⁺⁷⁺⁵
= 18⁻²
= 1/18²
Therefore the equivalence of the expression is 1/18²
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Which division equation represents the situation?
Answer: 6 divided by 2/3
Step-by-step explanation:
The division equation which represents the situation is 6 ÷ 2/3 = 9.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Division equation is the equation involving the operation of division.
The model shows there are 9 pieces that are each 2/3 feet long.
We can calculate the total length of the pieces using the multiplication equation.
9 × 2/3 = 6
Total length = 6 feet
Length of each piece = 2/3 feet
Number of pieces can be found using the division equation,
6 ÷ 2/3 = 9
Hence the division equation for the given situation is 6 ÷ 2/3 = 9.
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he graph shows the number of pages in each chapter of a book that Josh is reading. A number line going from 2 to 28. 1 dot is above 2. 0 dots are above 4. 0 dots are above 6. 0 dots are above 8. 2 dots are above 10. 0 dots are above 12. 3 dots are above 14. 2 dots are above 16. 1 dot is above 18. 2 dots are above 20. 2. dots are above 22. 0 dots are above 24. 1 dot is above 16. 0 dots are above 28. Which statement is true about the effect of the 2-page introduction chapter? The outlier of 2 increases the median page count. The outlier of 2 increases the mean page count. The outlier of 2 decreases the median page count. The outlier of 2 decreases the mean page count.
The outlier of 2 decreases the mean page count.
What is mean and median?
The mean is that the variety you get by dividing the total of a collection of values by the quantity of values within the set.
In distinction, the median is that the middle variety in an exceedingly set of values once those values square measure organized from smallest to largest.
Main Body:
From the picture we can know that outlier of 2 does not effect the median page count.
But outlier of 2 decreases the mean page count.
it can be found out by taking mean
(1+2+3+2+1+2+2+1)/8= 1.75
and if we remove outlier of 2 ,then
(1+3+2+1+2+2+1)/7 = 1.86
Hence ,the outlier of 2 decreases the mean page count.
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Answer:
the answer is d
Step-by-step explanation:
A line a pae through point (-3,5) and (0,0) and line b paed through point (3,5) and (0,0). Are line a and b parallel, perpendicular, or neither? Explain your anwer
A line 'a' and line 'b' are perpendicular to each other.
We know that the formula for the slope of line passing through two points (x1, y1) and (x2, y2) is,
m = (y2 - y1)/(x2 - x1)
A line 'a' passes through points (-3,5) and (0,0)
Let m1 be the slope of line 'a'
m1 = (0 - 5)/(0 - (-3))
m1 = -5/3
A line 'b' passes through points (3,5) and (0,0).
Let m2 be the slope of line 'b'
m2 = (0 - 5)/(0 - 3)
m2 = (-5)/(-3)
m2 = 5/3
We can observe that, m1 * m2 = -1
Since the product of slopes of the lines is -1, the lines a and b are perpendicular.
Therefore, the lines are perpendicular.
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Solve the system. Explain your answer using words, symbols, or both.
x+2y=8
x+y=2
Answer:
Using substitution method for to solve, X = -4 and Y = 6
Step-by-step explanation:
1) x+2y = 8
2) x+y = 2
solve 2)
x = 2-y
Then replaced it in 1)
(2-y) + 2y = 8
2 + y = 8
y = 6
then
x = 2 - 6
X = -4
Yo’s hi and Mariam are both driving from Chicago to Columbus yo’s hi leaves at 8:00 and averages 60 mph on the way.Mariam leaves at 8:15 and averages 65 mph on the way. The situation is modeled by this system, where x is the number of hours after Mariam leaves and y is the distance each will travel: y=60x+15
Y=65x
How long after Miriam leaves will she pass Yoshi, and how far will they each travel?
Answer:
x = 3
y = 195
Step-by-step explanation:
y = 60x + 15
y = 65x
65x = 60x + 15
5x = 15
x = 3
y = 65(3)
y = 195
Hope it helps!
Jessica and Anthony are trying to finish a large pizza all by themselves. If Jessica ate 7/12 of the pizza and Anthony ate 3/12 of the pizza, what fraction of the pizza is left? A pizza cut into 12 equal pieces.
ANSWER ASAP
Answer:
2/12 of the pizza is left.
Step-by-step explanation:
7/12 plus 3/12 is 10/12, then minus that from 12/12 and you get 2/12.
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answer:
B) 10
Step-by-step explanation:
The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].