Answer:
Aren't they equivalent to 5:6?
Step-by-step explanation:
Your situation models to 5x:6x, and no matter what you put as x, it will amount to the ratio of 5:6. It's basically a big fraction, with 5/6 as the simplfication.
Answer:
Step-by-step explanation:
The easiest way to start this is just to multiply the 5 and the 6 by the same thing and see what happens.
Randomly, I will choose 7 because I think today is the 7th.
5*7
====
6*7
35
===
42
I know this is going to seem ridiculous but I'm not going to divide 35/42 by 7.
35 divide by 7 = 5
42 divide by 7 = 6
Just what you started with.
Now a little less obvious, suppose we multiply top and bottom of the ratio by a. a can be anything like (say) the 5th root of 3233
5* a
====
6 * a
Divide the top and bottom by a.
5a divided by a = 5
=======
6a divided by a = 6
So what's the answer? If you've read through this, you'll know that nothing changes.
The answer is the first one.
I honestly forgot all about these so can someone help?
Answer:
option 2 is not right angle triangles
Answer:
Option 3 is actually not a right triangle
Hope this helps :)
(Option 3 is an acute scalene triangle, the others are all right scalene)
Erin has $50. She wants to purchase a cell phone ($20) and spend the rest on music CDs. Each music CD costs $8. Write an inequality for the number of music CDs she can purchase.
HELP ME PLSS ANSWER QUICKLY,
(If you can give me the complete answer I would really appreciate it :) )
Answer:
Step-by-step explanation:
$50-$20=$30
$30/8= 3.75
since you cannot but 3/4 of a CD you have to round down to 3 to she can buy the phone and 3 CDs and have $6 left over
Set (X, Y) Unif([0, 1] x [-1,0]). This means that (X, Y) is a uniform random point on the rectangular [0, 1] x [-1,0] Prove that X and Y are independent.
Set (X, Y) Unif([0, 1] x [-1,0]). This means that (X, Y) is a uniform random point on the rectangular [0, 1] x [-1,0] then X and Y are independent.
How to explain the informationSince the area of this region is 1, we have:
f(X,Y) = 1
Now we need to find the marginal PDFs of X and Y. In order to find fX(X), we integrate f(X,Y) over all possible values of Y:
fX(X) = ∫ f(X,Y) dy
= ∫ 1 dy (since f(X,Y) = 1)
= 1
Similarly, to find f_Y(Y), we integrate f(X,Y) over all possible values of X:
f_Y(Y) = ∫ f(X,Y) dx
= ∫ 1 dx (since f(X,Y) = 1)
= 1
Therefore, we have: f(X,Y) = fX(X) * fY(Y) which shows that X and Y are independent.
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help me answer this question in the picture :)))
Answer:
x = 15p
-75
Explanation:
remove brackets:
4px + 4 = 64
solving for x --> 4px = 64 - 4 then--> 4px = 60
then diving both sides by 4p --> x = 60\4p --> x = 15p
now solving for x when p is -5
we will substitute the -5 in the equation we got --> x= 15 (-5)
which will give us --> x = -75
The canoe costs $96 for 8 hours. How much does it cost per hour?
Answer:
$12
Step-by-step explanation:
just divide 96÷8=12
Answer: 12
96/8=12
12 is the unit rate per hour
-18(9)^-1/2
Evaluate
Answer:
-6
Step-by-step explanation:
using the rules of exponents
• \(a^{-m}\) = \(\frac{1}{a^{m} }\)
• \(a^{\frac{1}{2} }\) = \(\sqrt{a}\)
then
- 18 × \(9^{-\frac{1}{2} }\)
=- 18 × \(\frac{1}{9^{\frac{1}{2} } }\)
= - 18 × \(\frac{1}{\sqrt{9} }\)
= - 18 × \(\frac{1}{3}\)
= -6
Answer: The answer should be -6
Step-by-step explanation:
18(9^−1/2)
= −18(9^−1/2)
= (−18)(0.333333)
= −6
So, what you want to do is first solve 9^-1/2, it will come out to be about 0.333333
You are going to put 0.333333 in for 9^-12 and then multiply:
-18(9^-1/2) = (-18)(0.333333)
(-18)(0.333333) = -6
Un coche tarda 9hrs en recorrer un trayecto siendo su velocidad de 85km/h, ¿Cuánto tardará en recorrer el mismo trayecto a 70km/h?
The time taken to travel the distance 70 Km/h is 11 hours.
What is speed distance formula?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took.
The formula can be rearranged in three ways:
speed = distance ÷ timedistance = speed × timetime = distance ÷ speedGiven:
time = 9 hours
speed = 85 Km/h
Now, distance
=speed * time
=85 * 9
= 765 km
As, the speed is 70 km/h
time = distance/ speed
time = 765 / 70
time = 10.92
time= 11 hours
Hence, the time taken to travel the distance 70 Km/h is 11 hours.
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The translation of the question is:
A car takes 9 hours to travel a distance with a speed of 85km/h, how long will it take to travel the same distance at 70km/h?
Brandon has a cup of quarters and dimes with a total value of $64.65. The number of quarters is 6 less than five times the number of dimes. How many quarters and how many dimes does Brandon have?
Number of quarters:
Number of dimes:
Brandon has 239 quarters and 49 dimes.
Assume that the number of quarters as q and the number of dimes as d.
If each quarter is worth $0.25 and each dime is worth $0.10, then the total value of the quarters and dimes is $64.65:
0.25q + 0.10d = 64.65 (1)
Also given that the number of quarters is 6 less than five times the number of dimes, that is,
q = 5d - 6 (2)
Put the value of q from the equation (2) to equation (1),
0.25(5d - 6) + 0.10d = 64.65
1.25d - 1.50 + 0.10d = 64.65
1.35d - 1.50 = 64.65
1.35d = 66.15
d = 49
Put the value of the in equation (2),
q = 5(49) - 6
q = 245 - 6
q = 239
Therefore, Brandon has 239 quarters and 49 dimes.
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Complete question:
Brandon has a cup of quarters and dimes with a total value of $64.65. The number of quarters is 6 less than five times the number of dimes. How many quarters and how many dimes does Brandon have if each quarter is worth $0.25 and each dime is worth $0.10.
Number of quarters = ?
Number of dimes = ?
I need help ASAP jsnsnsbdbsbsnsnsnd
Answer:
9 comedy
12 horror
Step-by-step explanation:
First, there are 360 degrees in a circle.
Comedy = 90 degrees
Action and romance = 90 degrees combined
Horror = 120 degree
Science fiction = 60 degrees
To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees
36 students took the survey.
1/4 × 36 = 9
Horror is 120 degrees out of 360 degrees or 1/3 of the circle.
1/3 × 36 = 12
Answer: 12 students
Step-by-step explanation:
360* circle, 1 student per 10* so 120* = 12 students.
To double check, 90* = 9 students.
can somebody helppp please, do all the tasks from a and b.
Thank u!!!
in photo.
The solutions for the quadratic equations ax² + bx = 0 are:
a) x=0 or x=-2 for x²+2x=0;
x=0 or x=2 for x²-2x=0;
x=0 or x=2 for -x²+2x=0;
x=0 or x=-2 for -x²-2x=0.
b) x=0 or x=-5/3 for 3x²+5x=0;
x=0 or x=5/3 for 3x²-5x=0;
x=0 or x=5/3 for -3x²+5x=0;
x=0 or x=-5/3 for -3x²-5x=0.
How did we get these values?a) To solve the quadratic equations ax² + bx = 0, we need to factor out the common variable x, and then solve for x:
a) x²+2x=0
x(x+2)=0
x=0 or x=-2
b) x²-2x=0
x(x-2)=0
x=0 or x=2
c) -x² + 2x = 0
-x(x-2)=0
x=0 or x=2
d) -x²-2x=0
-x(x+2)=0
x=0 or x=-2
b) To solve the quadratic equations 3x²+5x=0, 3x²-5x=0, -3x²+5x=0, and -3x²-5x=0, we factor out the common variable x and then solve for x:
b) 3x²+5x=0
x(3x+5)=0
x=0 or x=-5/3
b) 3x²-5x=0
x(3x-5)=0
x=0 or x=5/3
c) -3x²+5x=0
x(-3x+5)=0
x=0 or x=5/3
d) -3x²-5x=0
x(-3x-5)=0
x=0 or x=-5/3
Therefore, the solutions for the quadratic equations ax² + bx = 0 are:
a) x=0 or x=-2 for x²+2x=0;
x=0 or x=2 for x²-2x=0;
x=0 or x=2 for -x²+2x=0;
x=0 or x=-2 for -x²-2x=0.
b) x=0 or x=-5/3 for 3x²+5x=0;
x=0 or x=5/3 for 3x²-5x=0;
x=0 or x=5/3 for -3x²+5x=0;
x=0 or x=-5/3 for -3x²-5x=0.
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The English translation of the question in the picture:
75. Solve the quadratic equations ax² + bx = 0
a) x²+2x=0,
x²-2x=0,
-x² + 2x = 0.
-x²-2x=0;
b) 3x²+5x=0,
3x²-5x=0.
-3x²+5x=0,
-3x²-5x=0;
Six bags of flour and six bags of sugar weigh 50 pounds. Eight bags of flour weighs 50 pounds. All bags of flour weigh the same, and all bags of sugar weigh the same. What is the ratio of the weight of a bag of flour to a bag of sugar?
The ratio of a bag of flour to a bag of sugar is 3:1
What is ratio?A ratio can be defined as the relationship or comparison between two entity of the same unit.
Represent a bag of flour = x
a bag of sugar= y
6 bags of flour plus 6 bags of sugar is 50pounds
6x+6y= 50
8 bags of flour is also 50 pounds
8x= 50
Therefore a bag of flour is
x= 50/8
from 6x+6y= 50
6y= 2x
y= 2×50/48
y= 50/24
x:y=50/8:50/24
multiply the two ratios by 24
x:y= 150:50
x:y= 3:1
The ratio of flour to sugar is 3:1
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Now change matrix B to a 3 x 3 matrix and enter these values for B:
B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:
77 39 −33
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =
c13 =
Answer:
Step-by-step explanation:
56.1,12.1,23.6
PLEASE HELP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
How to carry out transformation reflection?
From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.
After reflection, across the x-axis, we see that it was translated down by 2 units.
The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
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If the perimeter of the regular pentagon is 75 cm what is the length of each side
Plz help nowww
If you wanna be crowed a brainliest:-)
Answer:
15 (mark me brainliest if you want and lmk if you need more help understanding)
Step-by-step explanation:
perimeter is (l*w)*2
if a pentagon is 5 sided, you do 75/5 which is 15.
each side has 15 cm
Omar Cuts A Piece Of Wrapping Paper with the shape and dimensions as shown .Find the area of the wrapping paper. Round your answer to the nearest tenth if needed
The area of the wrapping paper would be = 72.5in².
How to calculate the area of the wrapping paper?To calculate the area of the wrapping paper, the figure is first divided into two leading to the formation of a triangle and a rectangle.
For the triangle, the formula use to calculate it's area is given as follows;
Area = 1/2 base × height
base = 15-10 = 5 in
height = 9-4 = 5 in
area = 1/2×5 × 5
= 25/2 = 12.5 in²
Area of a rectangle = length× width
width = 4 in
length = 15 in
area = 4×15 = 60in²
Therefore the area of the wrapping paper = 12.5+60 = 72.5in²
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Can somebody help me with these please
Answer:
No solutions: 5 - 4 + 7x + 1 = 7x + 1One solution: 5 - 4 + 7x + 1 = 2x + 1Infinitely many solutions: 5 - 4 + 7x + 1 = 7x + 2Step-by-step explanation:
left side: 5 - 4 + 7x + 1 = 1 + 7x + 1 = 7x + 2
No solution is when we have the same number of x-es and different sums of other numbers on both sides of equation. So we have to put 7 next to x and any numer except 2 at the second place.
So the right side could be 7x+1 or 7x+3 or 7x+125 and so on.
One solution is when we have different number of x-es on both sides of equation. The sums of other numbers could be any numbers.
So the right side could be ex.: 2x+1, x+2, 8x, 3x+(-18), and so on.
Infinitely many solutions is when we have the same number of x-es and the same sums of other numbers on both sides of equation. So we have to put 7 next to x and numer 2 at the second place.
So the right side has to be 7x + 2
Find a basis for and the dimension of the solution space of the homogeneous system of linear equations.
3x1 + 3x2 + 15x3 + 11x4 = 0
x1 − 3x2 + x3 + x4 = 0
2x1 + 3x2 + 11x3 + 8x4 = 0
(a) a basis for the solution space
(b) the dimension of the solution space
(a) A basis for the solution space of the homogeneous system of linear equations is:
{(-3, 1, 0, 0), (-5, 0, -5, 1)}
(b) The dimension of the solution space is 2.
To find a basis for the solution space, we first write the augmented matrix of the system and row-reduce it to its echelon form or reduced row-echelon form.
Then, we identify the free variables (variables that can take any value) and express the dependent variables in terms of the free variables. The basis for the solution space consists of the vectors corresponding to the free variables.
In this case, after performing row operations, we obtain the reduced row-echelon form:
[1 0 -1 -1 0]
[0 1 3 2 0]
[0 0 0 0 0]
The first and second columns correspond to the free variables x3 and x4, respectively. Setting these variables to arbitrary values, we can express x1 and x2 in terms of x3 and x4 as follows: x1 = -x3 - x4 and x2 = -3x3 - 2x4. Therefore, a basis for the solution space is {(-3, 1, 0, 0), (-5, 0, -5, 1)}.
Since the basis has 2 vectors, the dimension of the solution space is 2.
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Factor Completely
-3p^7+3p^3
Answer:
3p^3 (-p^4 + 1)
Step-by-step explanation:
The common factor of both -3p^7 and 3p^3 is 3p^3
Divide -3p^7 by 3p^3 and get -p^4
Divide 3p^3 by 3p^3 and get 1
So the factorisation is 3p^3 (-p^4 + 1)
2x+1/3 + 4x-2/2 solve
Answer:
the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.
Step-by-step explanation:
To solve the expression 2x + 1/3 + 4x - 2/2, we need to combine like terms and simplify the expression.
First, let's combine the terms with the same variable, which are 2x and 4x:
2x + 4x = 6x
Next, let's simplify the fractions. We need to find a common denominator for 1/3 and 2/2, which is 6. We'll rewrite the fractions with the common denominator:
1/3 = 2/6
2/2 = 6/6
Now, let's rewrite the expression with the combined terms and simplified fractions:
6x + 2/6 - 6/6
Next, subtract the fractions with the same denominator:
6x + (2/6 - 6/6)
The numerator of the first fraction (2/6) needs to be subtracted from the numerator of the second fraction (6/6). This gives us:
6x + (-4/6)
Simplify the fraction:
6x - 4/6
Now, we can simplify further by dividing both the numerator and denominator of the fraction by their greatest common divisor, which is 2:
6x - 2/3
Therefore, the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.
Which equation is in slope-y-intercept form?
Question 1 options:
a) 3x + 4y = 7
b) x = 4y - 2
c) y = 3x -1
d) x + 4y -2
Answer:
C = y - 3x-1
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
C = y - 3x-1 is in slope intercept form
The answer is A.
I took the test.
2y - 8 = 6x
y = 3x + 2
need solution please help need this to study
Answer:
Step-by-step explanation:it is 38
Answer:
No solution.
Step-by-step explanation:
2y-8=6x
y=3x+2
-----------
2(3x+2)-8=6x
6x+4-8=6x
6x-4=6x
6x-6x=4
0=4
If S is a non-empty subset of R^n such that any linear combination of vectors in S is again a vector in S, then S is a subspace of R^n
Any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.
Given that S is a non-empty subset of Rⁿ such that any linear combination of vectors in S is again a vector in S. Therefore, to prove that S is a subspace of Rⁿ, we have to show that S satisfies three conditions. These conditions are as follows;
The condition for being a subspace of Rⁿ
Firstly, a subspace must be closed under addition. In other words, if x and y are any two vectors in S, then their sum x + y must be in S.
Secondly, a subspace must be closed under scalar multiplication. In other words, if x is any vector in S and c is any scalar, then cx must be in S.
Finally, a subspace must contain the zero vector, denoted by 0.S is a subspace of Rⁿ
From the conditions mentioned above, we can show that S is indeed a subspace of Rⁿ, since S satisfies all the required conditions.
Therefore, we can say that any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.
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The present price of a motorcycle is rs.2,25,000. if its price is depreciated per year by 8% after how many years will be price of the motorcycle be rs.1,75,204,58? find it.
After 3 years the rate of motorcycle be Rs. 17520458 when its price is depreciated per year by 8%.
Let after x years the price of the motor cycle be Rs 175204.58
According to the given question.
The present price of a motorcycle is Rs. 225000.
And the depreciation rate = 8% = 0.08.
Therefore, the numbers of years after which the price of motorcycle be Rs 175204.58 is gievn by
⇒ 175204.58 = 225000(1 - 0.08)^x
⇒ 175204.58/225000 = (1 - 0.08)^x
⇒ 0.78 = (1 -0.08)^x
⇒ 0.78 = 0.92^x
⇒ -0.107 = xlog(0.92)
⇒ -0.107 = x(-0.036)
⇒ 0.107/0.036 = x
⇒ x = 2.97
⇒ x ≈ 3 years
Hence, after 3 years the rate of motorcycle be Rs. 17520458 when its price is depreciated per year by 8%.
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A mixture of monatomic and diatomic gases has specific-heat ratio gamma = 1.52. What fraction of its molecules are monatomic?
Its molecules' monatomic fraction is 0.444.
Define fractionAn element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
The fact that
The formula gamma monatomic
Determines the specific heat ratio of monoatomic gas.
5/3=1.67
Calculates the specific heat ratio of a diatomic gas.
Gamma monatomic =7/5=1.4
We have a monoatomic and diatomic gas mixer with a gamma mixer specific heat ratio of 1.52.
Calculating the monoatomic gas fraction is as follows:
Let's assume that "x" is the percentage of monoatomic
1.67* x+1.4* (1-x)=1.52
1.67* x+1.4-1.4* x=1.52
0.27* x=0.12
x = 0.12/0.27
x= 0.444
Its molecules' monatomic fraction is 0.444.
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Solve the quadratic equation 3x^2+8x=30 by completing the square.
Which expression correctly represents the solutions of the equation?
4±√74/3
-4±√106/3
8±2√106/6
-3±√26/3
Answer:
B
Step-by-step explanation:
im bad at explaining this :(
Determine the truth value of the statement (p V-9) A r using the following conditions. a) p is false, q is true, and r is true. b) p is true, q is false, and r is true. a) If p is false, q is true, and r is true, what is the truth value of (p V-a) Ar? O False O True
To determine the truth value of the statement (p V-9) A r using the conditions provided, we can substitute the given truth values for p, q, and r into the statement.
a) p is false, q is true, and r is true:
(p V-9) A r = (false V-9) A true
= (-9) A true
= true
Therefore, the truth value of (p V-9) A r is true when p is false, q is true, and r is true.
b) p is true, q is false, and r is true:
(p V-9) A r = (true V-9) A true
= true A true
= true
Therefore, the truth value of (p V-9) A r is also true when p is true, q is false, and r is true.
In summary, the truth value of (p V-9) A r is always true, regardless of the truth values of p, q, and r.
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tickets to a movie at a small theater cost $ 15 $15 for one showing if at least 100 100 tickets are sold. for every $ 1 $1 decrease in ticket price, the number of tickets sold increases by 10 10. what price must the theater charge per ticket in order to maximize their revenue?
The $2.25 must the theatre charge per ticket in order to maximize their revenue.
Define the term maximum revenue?According to your financial status, maximum revenue is the most amount of money your company may make in a given fiscal year.When the derivative is equal to zero, a given function's maximum value occurs. Therefore, in order to maximize revenue, locate the revenue function's first derivative.For the stated question.
Let the revenue generated be 'R'.
The price of ticket after reduction of $1 = x.
Total tickets = 100
Using the revenue equation;
Revenue = (Number of ticket)X(price per ticket)
R = (100 - 10x)(15 + x)
R = 1500 - 10x² -150x + 100x
R = 1500 - 10x² -50x
For the maximum revenue-
x = -b/2a = 50/2(-10)
x = -50/20 = -2.25
Thus, the $2.25 must the theatre charge per ticket in order to maximize their revenue.
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Which function g(x) or f(x) has the equation y=x^2-4
Answer:
f x
Step-by-step explanation:
the equqtion's y intercept is -4 , and f (x) has that intercept
Answer:
f(x)
Step-by-step explanation:
The equation says -4 meaning that it moved down 4 spaces on the y-axis.
The community center organizers want to buy 600 hot dogs. What will the cost be if they purchased the packages with the best buy? The best buy is 50 for 12 dollars
Answer:
144
Step-by-step explanation:
do 5 into 600 and u get 12 have a good day!!!
Answer:
$144
Step-by-step explanation:
first, we need to divide 600 by 50, to get them organized for the best packages. 600/50 = 12.
then, we multiply that (the 12) by the cost ($12/ea) so 12*12 which is $144 if they use the bundling.
In each of the following, solve for X.
Answer:
Solving for X: x = 8
Step-by-step explanation:
Set up as proportion and cross multiply to solve:
12/15 = x/10
x = 8
y = x + 10
y = 8 + 10
y = 18