[tex] \frac{3}{8} \div \frac{4}{9} \\ = \frac{3}{8} \times \frac{9}{4} \\ = \frac{27}{32} [/tex]
Hope it helps!!!
Thanks!!!
Can x3 – 3x + 1 be the quotient on division of x5+ 2x3 + x – 1 by a polynomial in x of degree 3? Justify
Answer:
No
Step-by-step explanation:
x⁵ + 2x³ + x - 1 -> degree of the polynomial is 5
So, when x⁵ is divided by x³, the quotient should be x⁵⁻³ = x².
So, x³ - 3x + 1 cannot be a quotient
PLEASE HELP!! You are playing a game in which you must flip a coin and then roll a die. What is the probability of flipping a tails and then rolling a five?
===========================================================
Explanation:
1/2 is the probability of flipping tails because we have one side labeled tails out of 2 sides total.
1/6 is the probability of rolling a 5, because there's one side we want out of 6 total.
The two events (flipping the coin and rolling the die) are independent, allowing us to multiply those previously mentioned fractions:
(1/2)*(1/6) = (1*1)/(2*6) = 1/12
Which equation represents the line that passes through (-8,11) and
and (4, 7/2)?
A) y = -5/8x + 6
B) y = -5/8x + 16
C) y = 15/2x - 49
D) y = -15/2x + 71
Answer:
A) y = -5/8x + 6
Step-by-step explanation:
y2 - y`1 / x2 - x1
7/2 - 11 / 4 - (-8)
-15/2 / 12
= -5/8
y = -5/8x + b
11 = -5/8(-8) + b
11 = 5 + b
6 = b
Answer:
Option (A)
y = - 5 / 8 x + 6
Step-by-step explanation:
Two points are
(x', y') = ( - 8, 11 )
(x'', y'') = (4, 7/2)
The equation o line passing through two points is given by
[tex](y - y') = \frac{y'' - y'}{x''-x'}(x-x')\\\\(y - 11)= \frac{\frac{7}{2}-11}{4+8} (x + 8)\\\\y - 11 = \frac{-5}{8}(x + 8)\\\\y -11 = \frac{-5x}{8} - 5\\\\y = \frac{-5x}{8} + 6[/tex]
So, option (A) is correct.
Two square based pyramids are joined, total volume is 2700mm, perpendicular height 16mm on top pyramid and 20mm on the other, joint base has length and width of x, find x. Please help me..
Answer:
15 mm
Step-by-step explanation:
Since both pyramids are joined together, this means that the base of the pyramid which is a square have the same dimensions.
Let the length and width of the base be x, hence the dimension of the base is x mm by x mm.
For the first pyramid, the volume is:
V₁ = a²h₁/3; where a is the length of the square base, h₁ is the height.
Since the pyramid has a height of 16 mm, hence:
V₁ = 16x²/3
the second pyramid, the volume is:
V₂ = a²h₂/3; where a is the length of the square base, h₂ is the height.
Since the pyramid has a height of 20 mm, hence:
V₂ = 20x²/3
Since the total volume (V) of the pyramid is 2700 mm³, hence:
V = V₁ + V₂
V = 16x²/3 + 20x²/3
2700 = 16x²/3 + 20x²/3
2700 = 36x²/3
36x² = 8100
x² = 225
x = 15 mm
For how many integer values of M is M/30 strictly between 1/3 and 3/5?
Answer:
6 possible intergers brainliest me
Answer:
its 7
Step-by-step explanation:
I need help with 7 and 8 please
Answer:
Can't See 7 clearly
8) (9,9)
Step-by-step explanation:
[tex]\frac{10+8}{2}[/tex] , [tex]\frac{10+8}{2}[/tex]
Add x's and divide by 2
Add y's and divide by 2
Like taking the average of the coordinates.
Can someone help me with this math homework please!
Answer:
2 and 3.
Step-by-step explanation:
2. and 3.
the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.
1. can't be an option as output values depend upon the input values and hence not independent
4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.
5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.
Answer:
(B, C, D)
Step-by-step explanation:
This scenario can be represented using this equation:
y = 3x + 7
y = total paintings after # of weeks (dependent variable)
x = # of weeks (independent variable)
3 = 3 paintings per week
7 = initial number of paintings
Let's evaluate each answer choice:
"The independent variable is represented by the ouput values"
No, this is wrong. The indepedent variable is the input values.
"The dependent variable is the total number of paintings"
This is correct. The total # of paintings is the output value, or the dependent variable.
"The total number of paintings depends on the number of weeks that have passed"
This is correct. The total # of paintings is the output value, or the dependent variable, because it depends on the # of weeks that pass by.
"This scenario is a function because for each week that passes, there will be exactly one total number of paintings"
This is correct. There is only one possible output for each input.
"The number of weeks is the output value"
No, this is wrong. The total # of paintings is the output value, not the # of weeks.
Hope it helps (●'◡'●)
PLEAS ANSWER ASAP If you like peanut butter and chocolate, then you will love Reese's.
What is the contrapositive of the statement?
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
Answer:
Step-by-step explanation:
1). 2x + y = 12 -----(1)
x = 9 - 2y -------(2)
By substituting the value of x from equation (2) to equation (1)
2(9 - 2y) + y = 12
18 - 4y + y = 12
18 - 3y = 12
3y = 18 - 12
y = 2
By substituting the value of x in equation (2)
x = 9 - 2(2)
x = 9 - 4
x = 5
2). x + 2y = 9 ------(1)
2x + 4y = 20
x + 2y = 10 -------(2)
Since, both the equations are the parallel equations,
Therefore, No solutions will be the answer.
3). x + 3y = 16 -------(1)
2x - y = 11 ---------(2)
Multiply equation (2) by 3 the add to equation (1)
6x - 3y + (x + 3y) = 16 + 33
7x = 49
x = 7
From equation (1),
7 + 3y = 16
3y = 9
y = 3
4). y = 11 - 2x -------(1)
4x - 3y = -13 -------(2)
By substituting the value of y from equation (1) to (2),
4x - 3(11 - 2x) = -13
4x - 33 + 6x = -13
10x = 33 - 13
10x = 20
x = 2
From equation (1)
y = 11 - 2(2)
y = 7
5). y = 10 + x -------(1)
-3x + 3y = 30
-x + y = 10
y = 10 + x ------(2)
Equations (1) and (2) are same.
Therefore, Infinite solutions will be the answer.
6). 2x + y = 11 --------(1)
x - 2y = -7 ---------(2)
Multiply equation (1) by 2 then add to equation (2)
4x + 2y + (x - 2y) = 22 - 7
5x = 15
x = 3
From equation (2)
3 - 2y = -7
2y = 3 + 7
y = 5
Which correctly completed the statement given below?
Answer:
C = <CDB, SAS
You can prove side BD because of the reflexive property (using two of the same sides to prove something) and you are given the other side and the angle. So, since you have a side, angle, and side in that order, you can prove it with SAS.
This is the last question for the 12 point
9514 1404 393
Answer:
WR ≅ WX
Step-by-step explanation:
To use the SAS postulate, you need congruent sides bounding a congruent angle.
Here, side WP is one side of one of the vertical angles, ∠PWR, so you need the other side of that angle: WR. The corresponding side in triangle VWX is WX. That is, for SAS, you need WR ≅ WX.
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?
508 seconds
510 seconds
509 seconds
508.8 seconds
Answer:
508.8 seconds
Step-by-step explanation:
The most accurate determination mathematically is to assume that Lola will maintain an average of 5.3 seconds per signature as she signs all 96 invitations.
Therefore, multiply the time it takes her to sign each invitation (5.3 seconds) by the total number of invitations there are (96 invitations) to get the projected total amount of time that it will take Lola to sign all 96 invitations:[tex]96\cdot 5.3=\boxed{508.8\text{ seconds}}[/tex]
Answer:
508.8 seconds (8.48 minutes)
Step-by-step explanation:
96 × 5.3 = 508.8
Find (a) the mean, (b) the median, and
(c) the mode of the number of verses in
the first eight chapters of Proverbs.
Proverbs 1 23 4 5 6 7 8
Verses 33 22352723352736
(a)
(b)
(c)
Answer:
Mean = 33+ 22+35+27+23+35+27+36 = 238/8 = 29.75
Median = 27+23 = 50/2 = 25
Mode = 35
Range = 36 - 22 = 14
Step-by-step explanation:
Stay Blessed
What is 2/3 divided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When we divide fractions, we are essentially multiplying by the reciprocal of the fraction.
2/3 ÷ 1/6
= 2/3 × 6
= 12/3
= 4
Solve for x, then choose
the correct graph.
- 3x > 12
answer:
-4
Step-by-step explanation:
-3x>12
x<-4
the correct graph is graph b
help me out ! <33
i give high points
thiss is a histogram there are some other information shown...
Answer:
0.287671233 or 42/146
Step-by-step explanation:
It's not a clear photo, but I tried my best. Probablilty is just what they're looking for over the total amount.
So the amount of people traveling over 4km is 42 based on the graph.
And the total number of people is 146.
(I don't know if the last bar in the graph represents 10 or 20 people)
So 42/146 = 0.287671233
Forgive me if I'm wrong, but I couldn't see the image clearly.
Good luck!
PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?
A. (12, 8)
B. (3, 5)
C. (-3, 3)
D. (0, 4)
Answer:
A number has to be the answer
Which of the following
is most likely the next step in the series?
Answer:
B.
Step-by-step explanation:
The numbers are always in the blue side, and the blue side starts at facing right, left, right, and then left.
Amy earned $25 after babysitting for 3 hours if amy always charges the same rate,how much will she make after babysitting for 7 hours
The cost for 2 adults and 5 children to eat at the local buffet restaurant is \$46.50 . The cost for 1 adult and 1 child is $15. What is the cost of a child's meal ?
Answer:
c = 5.5
Step-by-step explanation:
2 a + 5 c = 46.50
a + c = 15
a = 15 - c
2(15-c ) +5c = 46.50
30 - 2c +5c = 46.5
3c = 16.5
c = 5.5
The difference between the set of non-negative real numbers and the set of positive real numbers is:
A.an infinite set B.a null set C.a singleton set D.Null set
Answer:
C; A singleton set
Step-by-step explanation:
Mathematically, when a number is non-negative; it is either positive or zero
Now, this is because 0 identifies as neither a positive or a negative number
hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0
What this mean is that we are having a set with a single number result
So we have our answer as {0}
Which is a singleton set
Please help ASAP and please explain how you got the answer.
Answer:
The third one
Step-by-step explanation:
All show complementary angles ( angles that add up to 90 degrees ) except for the third one
First one: shows a square within the two angles which indicates that the angles form a right angle ( 90 degree angle ) meaning that they are complementary angles
Second: the angles add up to equal 90 ( 50 + 40 = 90 ) hence they are complementary angles
Third one: the angles form a straight line. Angles that form a straight line add up to equal 180 and are known as supplementary angles
Fourth: the angles shown add up to 90 ( 65 + 25 = 90) hence they are complementary angles
All are complementary but the third one
Integrate with respect to x
-2/3√((2-5x)^3)
Hello,
[tex]\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C[/tex]
please help....Which fraction has the greatest value?
Answer:
5/6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
Any negative number couldn't count as more than a positive. 5 is more than 1, so the correct answer has to be 5/6.
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
Answer:
Step-by-step explanation:
5²+8²=25+64=89
12²=144
5²+8²≠12²
so it is not aright angled triangle.
Answer:
Not a right triangle
Step-by-step explanation:
A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.
That is square of the largest sides = sum of the sqaures of the sides .
That is ,
[tex]12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89[/tex]
It did not satisfy the Pythagoras theorem.
Hence the given triangle is not a right triangle.
What is the value of x in the product of powers below?
6^9 x 6^x =6^2
0-11
O -7
07
11
Mmm, x is equals to -7....
The value of the x is -7.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
We can use the rule for multiplying powers with the same base to simplify the left-hand side of the equation:
6⁹ × 6ˣ = 6⁽⁹⁺ˣ⁾
Now we can rewrite the equation as:
6⁽⁹⁺ˣ⁾ = 6²
Since the bases on both sides of the equation are the same, we can equate the exponents:
9 + x = 2
Subtracting 9 from both sides gives:
x = -7
Therefore, the value of x in the given equation is -7.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ7
Rachel, Trey, and Juan sent a total of 85 text messages over their cell phones during the weekend. Rachel sent 10 more messages than Trey. Juan sent 3 times as many messages as Rachel. How many messages did they each send?
Answer:
Trey = 9 text messages
Rachel = 19 text messages
Juan = 57 text messages
Step-by-step explanation:
Let
Number of messages Trey sent = x
Number of messages Rachel sent = x + 10
Number of messages Juan sent = 3(x + 10)
Total messages = 85
Total = Trey + Rachel + Juan
85 = x + (x + 10) + 3(x + 10)
85 = x + x + 10 + 3x + 30
85 = 5x + 40
85 - 40 = 5x
45 = 5x
x = 45/5
x = 9
Number of messages Trey sent = x = 9 text messages
Number of messages Rachel sent = x + 10
= 9 + 10
= 19 text messages
Number of messages Juan sent = 3(x + 10)
= 3(9 + 10)
= 3(19)
= 57 text messages
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(-7,-2)
Step-by-step explanation:
y = 3x + 19
y = 5x + 33
Substitute in y. Basically set equal to each other.
3x + 19 = 5x + 33
-2x = 14
x = -7
y = 3 (-7) + 19
y = -21 + 19
y = -2
Answer:
y = -2
x = -7
Step-by-step explanation:
Substitute y= 5x + 33
5x + 33 = 3x + 19
Isolate x for 5x + 33 = 3x + 19: x = -7
For y = 5x + 33
Substitute x = -7
y = 5(-7) + 33
y = -2
So the solution is y= -2, x=-7
What is the value of x to the nearest tenth?
A) 29.5
B)18.5
C)37.0
D)40.8
which point is on the graph of f(x) =5x?
Answer:
There is an infinite amount, but let say that x is 10, then:
5*10
y=50
A point(10, 50)