Answer:
2:3
Step-by-step explanation:
2a/3a a is out
cya a
The ratio 2a/3a in the simplest form is 2/3.
What is ratio?Ratio is the way to compare one thing that is related to another thing.
Simplifying ratio means reducing its terms to the lowest possible digits by dividing them with the possible common factor
For example if we have a ratio 3/6 then we divide both terms by 3 to get 3/6 = 1/2 which is the simplest form of ratio 3/6
Given that a ratio 2a/ 3a
2 and 3 have nothing in common . therefore a is the common factor between 2a and 3a
Then divide the terms of ratio by a
⇒ 2a/ 3a = (2a/a)/(3a/a) = (2/1)/(3/1) = 2/3
Therefore, the simplest form of the ratio 2a/3a is 2/3.
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Which equation is represented by line j?
Answer: its letter c or 3
Step-by-step explanation:
Solve the system of linear equations by graphing y=3/2x -1 and y=x
Answer:
x= 2 and y= 2
Step-by-step explanation:
y=3/2x -1 and y=x
Change x to y = 3 / 2x -1
x = 3/2x -1 and y=x
-1/2x = -1 and y=x
x= 2 and y= 2
There are 9 water bottles in the refrigerator. I add 3 full boxes of water bottles to the refrigerator. Then i had two more boxes that each had 1 fewer bottle then the full box. Now that i'm done there's 67 bottles. What equation would find the number of bottles in a full box
Answer:
There are twelve 12 bottles in one full box.
Step-by-step explanation:
From the given information:
suppose there are 9 water bottles in the refrigerator,
and 3 full boxes of water are being added, we do not know the total number of bottles in a box, so let's represent it by b
i.e. 3b
However, two more boxes are being added which had 1 fewer bottle than the full box.
i.e. 2(b-1)
Now to determine the number of bottles in a full box, we have:
9 + 3b +2(b-1) = 67
9 + 3b + 2b - 2 = 67
5b + 7 = 67
5b = 67 - 7
5b = 60
b = 60/5
b = 12
Hence, there are twelve 12 bottles in one full box.
in δghi, h = 9.3 cm, g = 5.8 cm and ∠g=50°. find all possible values of ∠h, to the nearest 10th of a degree.
The given conditions cannot form a triangle. The sum of the angles in a triangle must be 180 degrees. In this case, the sum of the angles is 100 degrees (50 + 50). Therefore, there is no possible value for angle h.
Here is the calculation:
Angle G + Angle H + Angle I = 180
50 + Angle H + Angle I = 180
Angle H + Angle I = 180 - 50
Angle H + Angle I = 130
Since the sum of angle h and angle i is 130 degrees, there is no possible value for angle h that will result in a triangle with a total angle measure of 180 degrees.
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The figure shows the letter T and four of its transformed images—A, B, C, and D. Which of the four images was formed by a reflection of the letter T? (WILL MARK BRAINLIEST)
Answer:
C
Step-by-step explanation:
image C
reflection over the y axis
(x,y) ====> (-x,-y)
original points: ( -3,-1) , (-5,-1) , (-4,-3)
reflection over y axis :
(-3,-1) ===> (3,-1)
(-5,-1) ===> (5,-1)
(-4,-3) ===> (4,-3)
Complete the steps to find the value of .
72°
(7x + 24)
Answer: x ≈ 6.86°
Step-by-step explanation:
Firstly, set them equal to each other:
(7x + 24) = 72°
Subtract 24 from both sides:
7x = 48°
Divide both sides by 7:
x ≈ 6.857...
This can be rounded to:
x ≈ 6.86°
The student council needs to raise at least $950 to pay for their trip to Washington, DC. They have raised $589.55
so far. If they sell bagels to raise the rest of the money and charge $2 for each bagel sold, what is the minimum
number of bagels they need to sell to raise enough money?
168
181
294
295
Answer:
181 bagels
Step-by-step explanation:
Well how much money did they have to raise more to get to $950? It is $360.45. So now we take $360.45 and divide it by 2 and we get 180.225. But if we round 180.225 they would have to sell at least 181 bagels to raise $950 dollars.
Answer:
181 is the correct answer
Step-by-step explanation:
What is the length of the diagonal, d, of the rectangular prism shown below
The length of the diagonal of the rectangular prism is 8.31
Length of Diagonal in a Rectangular PrismThe diagonal length is calculated using the formula:
Diagonal = √(l² + h² + w²
Using the parameters given for our compuation:
length = 7
height = 2
width = 4
Inputting the values into our formula:
Diagonal = √(7² + 2² + 4²
Diagonal = √(49 + 4 + 16
Diagonal = √69
Diagonal = 8.31
Therefore, the length of the diagonal is 8.31
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20 POINTS !! IF YOU ANSWER THE QUESTIONS !
Answer:
12
Step-by-step explanation:
Cans someone please help me I’m really confused?? and I’ll mark brainlist
Answer:
A. 1/2
Step-by-step explanation:
3/16 / 3/8
3/3 = 1
16/8 = 2
1/2
Answer: 1/2
Step-by-step explanation:
3/16 divided by 3/8
To divide by a fraction multiply by the reciprocal of that fraction
3/16 x 8/3
Reduce the numbers with the GCF (3)
1/16 x 8
Reduce the numbers with the GCF (8)
1/2 or 0.5
A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk in 3/4 hour if he walks
a.1.5 times as fast
b.twice as slower.
Answer:
A=27/4 B=2.25
Step-by-step explanation:
4 and 1/2 also equals 18/4.
18/4+1/2(18/4)=18/4+9/4
18+9=27
Answer is 27/4
B)=4.5/2=2.25
max object z=11x+x+6w
6x+15x−3w≥60
3x+2x+w≤21
2x+3x−w=34
x≥0,y≥0,w≥0
solve the dual of the siven prislem usin the dual simplex algorithm
If you have access to a linear programming solver or software like Excel Solver or MATLAB's Optimization Toolbox, you can enter the dual problem and use the solver to obtain the optimal solution.
To solve the dual of the given problem using the dual simplex algorithm, we first need to rewrite the primal problem in standard form. The primal problem is as follows:
Maximize: z = 11x + x + 6w
Subject to:
6x + 15x - 3w ≥ 60
3x + 2x + w ≤ 21
2x + 3x - w = 34
x ≥ 0, y ≥ 0, w ≥ 0
The dual problem will have the following form:
Minimize: w = 60y + 21z + 34u
Subject to:
6y + 3u + 2v ≥ 11
15y + 2u + 3v + u + v ≥ 1
-3y + v = 6
y ≥ 0, u ≥ 0, v unrestricted
Now, we can apply the dual simplex algorithm to solve the dual problem. The steps involved in the dual simplex algorithm include:
Start with an initial feasible solution.
Check for optimality.
If not optimal, select a pivot column and pivot row.
Perform row operations to make the pivot element 1 and all other elements in the pivot column 0.
Repeat steps 2-4 until the optimal solution is reached.
The detailed calculations and iterations involved in the dual simplex algorithm can be quite lengthy and involve complex matrix operations. It would be best to use a specialized software or linear programming solver to perform these calculations accurately and efficiently.
If you have access to a linear programming solver or software like Excel Solver or MATLAB's Optimization Toolbox, you can enter the dual problem and use the solver to obtain the optimal solution.
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simplify expression
8x-6+x-1
Answer:
9x -7
Step-by-step explanation:
8x-6+x-1
Combine like terms
8x +x -6-1
9x -7
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
y intercept: (0,-13)
x intercept: (13/5, 0)
Step-by-step explanation:
To find the y intercept, x has to equal zero. So, plug it in. The equation becomes y=-13.
Since x is zero, the point becomes (0,-13)
To find the x intercpet, y has to equal zero. So, plug it in. The equation becomes 0=5x-13.
move 13 to the other side
13=5x
divide by 5
13/5=x
Since y is zero, the point becomes (13/5,0)
hope this helps!
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
The unknown number will be -8 for the given expression.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Hilda adds 5 to a number, then multiplies the sum by -2. Let the number be x. Form the mathematical expression from the given information and solve for the value of x.
-2 ( x + 5 ) = 6
-2x - 10 = 6
-2x = 6 + 10
-2x = 16
x = 16 / -2
x = -8
Therefore, the unknown number will be -8 for the given expression.
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At the end of an experiment, a rat weighed 3.1 times its original weight. If the rat originally weighed 5.8 ounces, about how much did it weigh after the experiment?
A: 15 ounces
B: 18 ounces
C: 20 ounce
D: 24 ounces
Answer:
B
Step-by-step explanation:
5.8 multiplied by 3.1 equals 17.98, and you can round to 18 ounces.
Answer:
b.18 ounces
Step-by-step explanation:
i got it right on engnuity
How do you solve:
[tex]({2x}^{5})( {6x}^{4})[/tex]
A. MULTIPLY coefficients ADD exponents
B. MULTIPLY coefficients MULTIPLY exponents
C. DIVIDE coefficients SUBTRACT exponents
D. Combine like terms
Answer:
D? or B.
Step-by-step explanation:
sa iba ka nalang tanong
The sum of 6+0.413+0.173 is
Mrs. Lopez had $150.55 in her checking account. She wrote checks for the following amounts: $45.76, $35.82, and $79.00. What is the new balance in Mrs. Lopez’s checking account?
-11.03
10.03
11.03
-10.03
Answer:
-10.03
Step-by-step explanation:
45.76+35.82+79= 160.58
150.55-160.58= -10.03
Solve the inequality.
-5-3x 2(10+2x) + 3
The solution is
Answer:
x<=-4
.............................................
Answer:
= -60x- 12x power of 2 -2
Step-by-step explanation:
The difference of twice a number and five is three. Find the number.
Translate the word problem to an equation. Which steps describe how to solve the equation?
subtract 5 then multiply by -
add 5 then multiply by
add 2 then multiply by
multiply by then add 5
Answer:
the second option would be the answer add 5 then multiply by
Find the product (-2/5)(-12/7)
Answer:
[tex]\frac{24}{35}[/tex]
Step-by-step explanation:
1. First turn (-2/5)(-12/7) into one fraction -> (* = multiply)
[tex]\frac{-2*-12 }{5*7}[/tex]
2. Simplify the top and bottom
[tex]\frac{-2*-12 }{5*7}[/tex] = [tex]\frac{24}{35}[/tex]
notice that negative times negative is equal to positive
Ex: -2 * -12 = +24
Fun
+
Moon
—————
Scare
Can you replace the letters above with a digit from 0-9 to make the math equation correct?
The two Ns and two O’s must be represented by the same digit.
HINT: N=4, F=5, U=7
Please help me on this escape room! The answer has to be 5 digits!,
Answer:
574 + 9664 = 10238Step-by-step explanation:
GivenFUN + MOON = SCAREN= 4, F = 5, U = 7SolutionSubstituting given numbers:
Step 1
574 + MOO4 = SCAR8, E = 8 as 4+4M + 1 = S ⇒ M = 9, S = 1, C = 0 as single digit becomes 2-digitO > 4 as O + 5 should be 2 -digit numberStep 2
574 + 9OO4 = 10AR8Digits used so far: 0, 1, 4, 5, 7, 8, 9
Digits left: 2, 3, 6
Step 3
5 + O = A, O = 6 as it should be > 4, then we get A = 2 and R = 3574 + 9664 = 10238Solve 48 = 5(2x - 7) + 3.
Justify each step.
Answer:
x=8
Step-by-step explanation:
48=5(2x-7)+3
Use the distributive property
48=10x-35+3
Combine like terms
48=10x-32
Add 32 to both sides to cancel out the negative 32
80=10x
x=8
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
48 = 5(2x - 7) + 3
Step 2: Solve for x
Distribute 5: 48 = 10x - 35 + 3Combine like terms: 48 = 10x - 32Add 32 to both sides: 80 = 10xDivide both sides by 10: 8 = xRewrite: x = 8Step 3: Check
Plug in x to verify it's a solution.
48 = 5(2(8) - 7) + 3
48 = 5(16 - 7) + 3
48 = 5(9) + 3
48 = 45 + 3
48 = 48
what is the value of 4^-2? Leave your answer in fraction form of necessary.
Answer:
1/16
Step-by-step explanation:
We know that a^ -b is equal to 1 / a^b
That means
4^-2 = 1/ 4^2 = 1/16
Answer:
[tex]4^{-2} \\= \frac{1}{4^{2} } \\= \frac{1}{16} \\[/tex]
The property used here is [tex]a^{-m} = \frac{1}{a^{m} }[/tex]
If you take 2 steps every minute, how long will 20 steps take?
Answer:
10 minutes
Step-by-step explanation:
just divide 20 by 2 to get the minutes also WHO WALKS THAT SLOW?!??!?!
what two numbers can add to 4 but multiple to -12
Answer:
Numbers: 6 and -2
Step-by-step explanation:
Equations
This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.
However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:
[tex]x+y=4\qquad\qquad [1][/tex]
[tex]x.y=-12\qquad\qquad [2][/tex]
Solving [1] for y:
[tex]y=4-x[/tex]
Substituting in [2]
[tex]x(4-x)=-12[/tex]
Operating:
[tex]4x-x^2=-12[/tex]
Rearranging:
[tex]x^2-4x-12=0[/tex]
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
With a=1, b=-4, c=-12:
[tex]\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}[/tex]
[tex]\displaystyle x=\frac{4\pm 8}{2}[/tex]
The solutions are:
[tex]\displaystyle x=\frac{4+ 8}{2}=6[/tex]
[tex]\displaystyle x=\frac{4- 8}{2}=-2[/tex]
This confirms the preliminary results.
Numbers: 6 and -2
Make a conjecture about the next item in each sequence. 2/3, 3/4, 4/5, 5/6,
Answer:
4/5
Step-by-step explanation: i took the quiz
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x)(x)left parenthesis, x, right parenthesis at Jack's party.
Answer:
3x + 2 = 50
16
Step-by-step explanation:
According to the given situation, the equation to determine the number of friends is shown below:-
We assume the number of friends is x
50 - 3x = 2
-3x = -48
3x = 48
x = 16
So, the equation is
3x + 2 = 50
and the number of friends is 16
Therefore, the equation to determine the number of friends we just solved the above equation.
Answer:
3x+2=50 and the number of friends is 16
Step-by-step explanation:
Which statement can be used to prove whether the conjecture is true or false?
What does the statement prove? (the picture)
Select one answer
A. The area of FCDE is 12 and CF×DE=16.
B. The area of ABDE is 24 and AB×AE=24.
C. The area of ABDE is 24 and AB×BD=24.
D. The area of FCDE is 12 and FE×DE=12.
The statement proves that the conjecture is..
A. True
B. False
Answer:
B and false
Step-by-step explanation:
Lol
The statement proves the conjecture which is the area of the rectangle ABDE and AB×AE=24 units.
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: The triangle ABDE with AB and AE as the length and AB as the breadth.
Thus the area of the rectangle ABDE= 6×4
=24 units
Thus, The conjecture is True as the rectangle ABDE and the area of the rectangle is equal to 24 units.
Hence, The statement proves the conjecture which is the area of the rectangle ABDE and AB×AE=24 units.
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