The value of the equation after the division and simplification is A = 7/24 or A = 0.291667
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p = 1/6
Let the second fraction be q = 4/7
Now , the equation is A = p/q
On dividing the terms p and q , we get
Substituting the values in the equation , we get
A = ( 1/6 ) / ( 4/7 )
On simplifying the equation , we get
A = ( 1/6 ) x ( 7/4 )
A = 7/24
So , the value of A after division is
Now , on further simplification , we get
A = 0.291667
Hence , the equation after simplification is A = 0.291667
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if y is directly proportional to x^2 and y=216 when x=9 find y if x=19
Cheryl is moving to a new house. Her old house is 3 kilometers and 457meters from her new house. How many meters is her old house from her new house.
Answer:
Her old house is 3000m+457m = 3457m from her new house.
Step-by-step explanation:
Conversion of units problems can always be modeled as a rule of three problem.
Rule of three problem:
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In the case of a conversion of units problem, the measures are:
- the value in one unit
- the value in another unit
As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.
The problem states that Cheryl's new house is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:
1km - 1000m
3km - xm
x = 1000*3
x = 3000m
Her old house is 3000m+457m = 3457m from her new house.
find the inverse of f(x) = 2x + 3
f−1(x)=x−32
Explanation:Follow the steps:
f(x)=2x+3
1- replace f(x) with y →y=2x+3
2- simply switch x and so the equation looks like x=2y+3
3- use algebra to solve for y. (isolate y)
x=2y+3
x−3=2y
x−32=y
This is the inverse function and is written as
f−1(x)=x−32
Jared is 10 years old and peter is 15 years old they are brothers . Together they run 150 yards . How far does each brother run
Answer: About 70 yards :D.
Hope this helped
Each time Gertrude gets paid, 10% of her pay check goes to taxes. Last week, $ 40 was taken out of her check for taxes. What was the amount of Gertrude's pay check last week?
Gertrude's paycheck last week was $400.
Explanation:To find the amount of Gertrude's paycheck last week, we can set up an equation using the information given. Let's assume her paycheck amount is represented by 'x'. According to the problem, 10% of her paycheck, or 0.10x, is taken out for taxes. This amount is given as $40. So we can write the equation as 0.10x = 40. To solve for x, we divide both sides of the equation by 0.10: x = 40 / 0.10 = $400.
5x - x + 12 +2x - 7 = 10
5/8(x-1/3)=5/12 can someone help me figure out what x is?
The above answer is correct, this answer I am sure is correct, I hope you can adopt.
The temperature of dry ice is -109.3°F, which is 183.6°F less than the outside temperature. What is the outside temperature?
To find the outside temperature, add the difference of 183.6°F to the dry ice temperature of -109.3°F, yielding an outside temperature of 74.3°F.
Explanation:The student is asking to find the outside temperature given that dry ice temperature is -109.3°F and that the outside temperature is 183.6°F higher than the dry ice. We can solve this by adding the temperature difference to the dry ice temperature.
Let's denote the outside temperature as T.
T = (-109.3°F) + 183.6°F
Now, let's perform the addition:
T = 74.3°F
Therefore, the outside temperature is 74.3°F.
Final answer:
The outside temperature can be calculated by subtracting 183.6°F from the temperature of dry ice (-109.3°F).
Explanation:
The outside temperature can be calculated by adding the temperature difference to the temperature of dry ice. The temperature difference is given as 183.6°F less than the outside temperature, which means we need to subtract 183.6°F from the temperature of dry ice (-109.3°F). So, the outside temperature would be -109.3°F + (-183.6°F) = -293.9°F.
round 101 to the nearest ten
101 rounded to the nearest ten is 100.
What is Rounding Off?Rounding off of a number is defined as the simplification of the number by keeping the value of the number same but is made closer to the next number.
Rounding can be done for whole numbers as well as decimals.
Here the given number is 101.
101 is between 100 and 110. We can round it to either of these two.
We have to round it to the nearest ten.
The number in the tens place is 0.
Look at the number next to tens place, which is at ones place.
The digit at ones place is 1, which is less than 5.
So keep the number in tens place as such and add 0 to ones place.
So the number is 100.
Hence 101 when rounded to nearest ten is 100.
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Which set of fractions is ordered from greatest to least? 11/12, 7/10, 5/6
A Color printer will print 8 pages per min. How many mins. will it take to report that has 136 pages?
How to find the slope of (20/8) and (9,16)?
Complete the following proof. Given: 2x 11 = 15 Prove: x = 2
Answer:
Hence, x = 2.
Step-by-step explanation:
Given : Given: 2x + 11 = 15 .
To find : Prove: x = 2.
Solution : We have given 2x + 11 = 15 .
On subtracting both sides by 11
2x = 15 - 11
2x = 4
On dividing both sides by 2
x = 2
Hence, x = 2.
Therefore, Hence, x = 2.
Trish has 9 boxes of pencils. Raj has 2 boxes of pencils. There are 10 pencils in each box. How many they have
A rectangular prism is completely packed with 90 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism? 11 unit cubes and 1 smaller cube of volume fraction 1 over 8 cubic inch 22 unit cubes and 4 smaller cubes of volume fraction 1 over 8 cubic inch each 11 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each 22 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each Could someone teach me the steps please? I reviewed the lesson, I still don't understand
Answer:
A
Step-by-step explanation:
ur welcomes
a candle maker has 4 1/2 pounds of wax. He wants to cut the wax into pieces that are 2/3 pound each. How many 2/3 pound pieces can he divide the wax into?
Answer:
[tex]6\frac{3}{4}[/tex] pieces.
Step-by-step explanation:
Let x represent number of pieces.
The amount of wax used in making x pieces would be [tex]\frac{2}{3}x[/tex].
We have been given that a candle maker has 4 1/2 pounds of wax. We can represent this information in an equation as:
[tex]\frac{2}{3}x=4\frac{1}{2}[/tex]
[tex]\frac{2}{3}x=\frac{9}{2}[/tex]
[tex]\frac{3}{2}*\frac{2}{3}x=\frac{3}{2}*\frac{9}{2}[/tex]
[tex]x=\frac{27}{4}[/tex]
[tex]x=6\frac{3}{4}[/tex]
Therefore, the candle maker can make [tex]6\frac{3}{4}[/tex] pieces.
What is another way to write 9×200?
what is 3a^2 +a^2 added to a+6?
Answer:
Step-by-step explanation:
not sure if i am doing it right help please?
3a^2+a^2+a+6
3a^4+a+6
Ted can wax a car in 20 minutes or wash a car in 60 minutes. tom can wax a car in 15 minutes or wash a car in 30 minutes. what is each man’s opportunity cost of washing a car?
What are the solutions of 3x+5=2x-7
How much pizza will each person get if 4 people share 3/4 of a pizza equally?
How much greater is the weight of the large box at 3/4lb than the small box at
1 1/8lbs
if two positive fractions are less than 1, why is their product also less than 1?
PLEASE HELP ASAP!!(3 QUESTIONS) I WILL GIVE BRAINLIEST AND 5 STARS!!
Identify the corresponding word problem given the equation: 5.59x = 27.95
A) How many boxes of nectarines can you buy with $27.95.
B) How much does a box of nectarines cost if five boxes costs $27.95?
C) How much does five boxes of nectarines cost if one box costs $5.59?
D) How many boxes of nectarines can you buy with $27.95 if one box costs $5.59?
Tom has saved $128, and his goal is to save $500. How much more must he save?
Which equation BEST represents this situation?
A) x + 128 = 500
B) x - 128 = 500
C) x + 500 = 128
D) x - 500 = 128
8, minus some number divided by 3, equals 6. Find the number.
A) -14/3
B) 4
C) 6
D) 2/3
Answer:
The first one is
1.) D)How many boxes of nectarines can you buy with $27.95 if one box costs $5.59?
2.) is B
3.) D
Step-by-step explanation:
1/10 of 400,000 is 10 times as much as?
a choir needs new robes for each of its 46 singers. Each robe costs $32.00. What will be total cost for all 46 robes?
You are given two sides of a triangle, a = 4.5 and b = 6. the angle between them is 35 degrees. write a script to find the length of the third side and the area of the triangle. hint: use trigonometric formula.
Determine whether the statement is always, sometimes, or never true. If △ABC has angles that measure 10° and 40°, and △DEF has angles that measure 40° and 120°, then △ABC ≅ △DEF.
The statement is sometimes true. If two triangles have congruent angles, they are similar but not necessarily congruent.
Explanation:The statement is sometimes true. If △ABC has angles that measure 10° and 40°, and △DEF has angles that measure 40° and 120°, we can determine their congruence by comparing their angles. If two triangles have congruent angles, they are similar but not necessarily congruent. Therefore, △ABC and △DEF are similar triangles but not necessarily congruent.
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A ball is thrown downward from a window in a tall building. its position at time t in seconds is s = 16t^2 + 32t, where s is in feet. how long (to the nearest tenth) will it take the ball to fall 211 feet
Kate is 17 years old, and Victor is 12 years younger. In how many years will Kate be twice as old as Victor?
Answer:
In 7 years
Step-by-step explanation:
Victors age: 17-12=5
Kate's age:17+7=24
Victors age:5+7=12
24 divided by 2 equals to 12.
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Check your answer
5+12=17
24-7=17
12-7=5
12*2=24