[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\boxed{\mathbf {Your\ equation} :\mathsf{\dfrac{5}{12}\times\boxed{} = 1}}[/tex]
[tex]\large\textbf{We don't know the unknown number yet so we will}\\\large\textbf{label it as \boxed{f}}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{5}{12}\times f = 1}}[/tex]
[tex]\large\boxed{\rightarrow\mathsf{\dfrac{5}{12}(f)= 1}}[/tex]
[tex]\large\textbf{MULTIPLY by }\mathbf{\dfrac{12}{5}}\large\textbf{ to BOTH SIDES}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{12}{5}\times\dfrac{5}{12}f = \dfrac{12}{5}\times1}}[/tex]
[tex]\large\textbf{CANCEL out: }\mathbf{\dfrac{12}{5}\times\dfrac{5}{12}}\large\textbf{ because it gives you 1.}[/tex]
[tex]\large\textbf{KEEP: }\mathbf{\dfrac{12}{5}\times1}\large\textbf{ because it helps solve for the f-value.}[/tex]
[tex]\large\boxed{\mathbf{NEW \ EQUATION: }\mathsf{f = 1\times \dfrac{12}{5}}}[/tex]
[tex]\large\textbf{SIMPLIFY IT!}[/tex]
[tex]\huge\boxed{\textbf{Therefore, your answer: \boxed{\mathsf{f = \dfrac{12}{5}}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If you were to pour marbles into a cup of water, you would make a __________.
A. heterogeneous
B. homogeneous
Answer:
heterogeneous is the answer
i just forgot this like ;-;
Answer:
[tex] \boxed{\bf \dfrac{64}{729} }[/tex]
Hence,
[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]
Step-by-step explanation:
Given arithmetic expression is :-
[tex]\sf \longmapsto(2/3) {}^{6} [/tex]
This expression may be rewritten as :-
[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]
6 is the index and 2/3 is the base.
In words, this may be represented as 2/3 raised to the Power 6.
Let's calculate.
It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.
That is,
[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]
It will be represented as,
[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]
On Simplification:-
[tex]\sf \longmapsto \dfrac{64}{729} [/tex]
In Decimal:-
[tex]\sf \longmapsto0.08(approx .)[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
It takes 0.5 gallon of cream to make 1 pound of butter.
How much butter could you make with 0.25 gallons of cream?
Answer:
0.5 pounds of butter.
Explanation
X pounds for 0.25 gallons.
0.5 gallon of cream - 1 pound of butter
0.25 gallons of cream - X pounds of butter
Applying cross multiplication:
0.5X = 0.25
X = 0.25 over 0.5 or 0.25/0.5
X = 0.5
Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.
By the 0.25 gallons of cream, we can make 0.5 pounds of butter.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
It takes 0.5 gallons of cream to make 1 pound of butter.
So,
0.5 gallons of cream ⇒ 1 pound of butter
Divide both sides by 2
0.5/2 gallons of cream ⇒ 1/2 pound of butter
0.25 gallons of cream ⇒ 0.5 pounds of butter
Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".
For more information about ratio and proportion,
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what is 44÷33= please for answer
Step-by-step explanation:
44 ÷ 33
= 1.333333333..........
Hope it's helpful.
Find the LCM of 14 and 18 using prime factorizations.
Answer:
126
Step-by-step explanation:
Can someone help me with this question
Answer:
$2.40
Step-by-step explanation:
Answer:
48 mph
Step-by-step explanation:
Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:
12*x=96
x=8 mph over the speed limit
Since the speed limit is 40, then she was going 40+8=48mph
In a right isosceles triangle, the length of both legs are equal. For the given isosceles triangle, what is the value of X
Answer:
x=6
Step-by-step explanation
So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.
If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.
Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!
Which value of x makes the equation 2(x-9)-2x=-3(3+7) true?
Answer:
No solution
Step-by-step explanation:
Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?
Answer:
174.6
Step-by-step explanation:
88 kg = 194.007 - 10%
194 * 10% = 194 - 19.4 = 174.6
Define Equilateral, isosceles and scalene triangles.
Answer:
Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.
Step-by-step explanation:
Graph the line with the equation y = 2x - 2
Answer:
y-intercept is -2 slope is up 2 right 1(2/1)
Step-by-step explanation:
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
HELP PLS ! How many solutions does the following system of equations have?
Answer:
A - infinite
Step-by-step explanation:
The 2 lines are on top of each other making any point on either line a solution.
Hope that helps
When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?
Original Equation
3x - 1 = 3
First Step 3x = 4
Answer:
no property
Step-by-step explanation:
Name the property used: no property
Help me pleaseeee with this
(Uhm....This is a question out of maths) How many floors are 78 steps
How can I solve this?
Answer:
This is not possible with 2 equal symbols
A parallelogram with a diagonal drawn through it is shown below.
Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.
STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionWhat is the ASA Congruence Criterion?The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionLearn more about the ASA Congruence Criterion on:
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OK LOLOLOL HOW DO I SHOW MY WORK
Answer:
Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*
Step-by-step explanation:
Lets use the elimination method which is ...
4x-3y=5
2x+7y=-8
Multiply the bottom part by -2
(-2)2x+(-2)7y=(-2)-8
which equals...
-4x-14y=16
Rewrite the equations
4x-3y=5
-4x-14y=16
Add and the x's cancel making..
-17y=21
Divide by -17 to isolate y
y=-1.23529411765
Replace y with -1.23529411765 on one of the equations
4x-3(-1.23529411765) =5
x=0.323529411763
solution : (0.323529411763, -1.23529411765)
1) The graph below represents the function y = f(x). State the domain and range of this
function in interval notation.
what is the volume of this prism
Answer: 44?
I think. I am not sure
On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4).
(PLS HELP FAST FOR 20 points) one step equation 18 + x = -9
Answer:
-27
Step-by-step explanation:
18 + x = -9
subtract by 18 on both sides
x = -27
You can check this by...
18 - 27 = -9
I hope this helps!!
this is your answer hope it's helpful for you
60 minutes is 20% of minutes?
Answer:
300
Step-by-step explanation:
Let the value that we are trying to find be x.
If 60 is 20% of x, then we have the following equation:
1/5x = 60.
Then, we can multiply by 5 to get:
x = 300
Answer:
20 percent of 60 minutes is 1/3
Step-by-step explanation:
I'm not sure if that is what you're asking, but if it is I hope it helps!
A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.
Answer:
1/2
Step-by-step explanation:
You need to add all the fractions up to get 1/2 is what food the costumers brought home
Answer:
1/2
Step-by-step explanation:
i got it correct!!
1. A roll of wire holds 3 meters of wire.
About how many inches of wire does
the roll hold ?
Answer:
Step-by-step explanation:
1 meter = 39.3701, by definition.
3 meters = 3*(39.3701)
3 meters of wire = 118 inches
Answer:
3 meters ≈ 118 inches
Step-by-step explanation:
1 meter = 3.28084 feet
1 foot = 12 inches
3 · 3.28084 = 9.84252
9.84252 · 12 = 118.11024
calculate average or arthmetic mean
Answer:
mean/average is calculated by adding all of the values and dividing by the number of values
ur welcome queen besitie slay
Which of the following is most likely the next step in the series?
Help help help help
In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP MU HUHU
Circle theorem states that the angle that an arc subtends at the center of a
circle is twice the angle subtended at the circumference.
The values are as follows;
m∠EDA = 90°m∠BDC = 21°m∠BEC = 21°[tex]m\widehat{AB}[/tex] = 80°m∠AEB = 40°m∠ECA = 29°m∠BAC = 21°[tex]m\widehat{ED}[/tex] = 90°m∠ECD = 45°m∠ACB = 40°m∠EBD = 45°m∠ADB = 40°m∠CAD = 45°m∠EAB = 90°m∠EBC = 90°Reasons:
[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.
m∠EPC = 180°
∴ m∠EDA = 0.5 × 180° = 90°
2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°
[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]
m∠BDC = 0.5 × 42° = 21°
3. m∠BEC = m∠BDC = 21°
4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°
5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition
m∠AEB = 0.5 × m∠APB
m∠AEB = 0.5 × 80° = 40°
6. m∠ECA = 0.5 × m∠AE
Therefore;
m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]
m∠ECA = 0.5 × 58° = 29°
m∠ECA = 29°
7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]
m∠BAC = 0.5 × 42° = 21°
m∠BAC = 21°
8. [tex]m\widehat{ED}[/tex] = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]
[tex]m\widehat{ED}[/tex] = 180° - 90° = 90°
[tex]\mathbf{m\widehat{ED}}[/tex] = 90°
9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]
m∠ECD = 0.5 × 90° = 45°
10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]
m∠ACB = 0.5 × 80° = 40°
11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]
m∠EBD = 0.5 × 90° = 45°
12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]
m∠ADB = 0.5 × 80° = 40°
13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]
m∠CAD = 0.5 × 90° = 45°
14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]
m∠EAB = 0.5 × 180° = 90°
15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]
m∠EBC = 0.5 × 180° = 90°
Learn more about circle theorems here:
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