Answer:
x= [tex]\frac{b}{3+9y}[/tex] .
Step-by-step explanation:
Given : b = 3x + 9xy.
To find : Solving the equation for x.
Solution : We have given
b = 3x + 9xy.
Taking common 3x from right hand side
b = 3x ( 1 + 3y).
On dividing both sides by 1 + 3y .
[tex]\frac{b}{1+3y}[/tex] = 3x
On dividing both sides by 3
[tex]\frac{b}{(3+9y)}[/tex] = x .
Therefore, x =[tex]\frac{b}{(3+9y)}[/tex] .
x = b/(3 + 9y)
Further explanation[tex]\boxed{ \ b = 3x + 9xy \ }[/tex]
In the equation, there are three variables, namely b, x, and y. The coefficients of x and xy are 3 and 9, respectively.
We need solving for x from the equation.
Let us reposition it by swapping sides. The aim is to prepare x as the subject on the left-hand side.
[tex]\boxed{ \ 3x + 9xy = b \ }[/tex]
On the left-hand side, 3x is pulled out of the brackets because it is the GCF (The Greatest Common Factor) of 3x and 9xy.
[tex]\boxed{ \ 3x(1 + 3y) = b \ }[/tex]
Both sides divided by 3(1 + 3y).
[tex]\boxed{ \ x = \frac{b}{3(1 + 3y)} \ }[/tex]
Hence, the final result is
[tex]\boxed{\boxed{ \ x = \frac{b}{3 + 9y} \ }}[/tex]
That's all the steps to get x as a subject.
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Rewrite (10+3)5 using the Distributive Property. Then simplify.
Answer:
[tex]\huge\boxed{\boxed{\tt{65\::)}}}[/tex]
Step-by-step explanation:
Hello.
First, add 10+3.
The sum is 13.
Now, multiply that by 5.
13×5=65
And we're done!
I hope it helps & have an outstanding day! :)
~ST2710 :)
How is the number five thousands and eighty-five thousandths written in decimal form?
A) 5000.0085
B) 500.00085
C) 5000.085
D) 5000.85
I chose answer C. Is this correct?
The decimal form of 'five thousands and eighty-five thousandths' is 5000.085. Therefore, your answer choice C) 5000.085 is correct.
Explanation:The decimal number 5000.085 can be understood as a combination of two distinct parts: the whole number component, 5000, signifies 'five thousands,' representing a quantity in the thousands place, and the fractional part, 0.085, signifies 'eighty-five thousandths,' indicating a value less than one but greater than zero. When these two components are integrated, the number 5000.085 emerges, illustrating a precise quantity with both an integral and fractional significance. This understanding showcases the inherent nature of decimal notation, where whole numbers and fractional values harmoniously coexist, providing a comprehensive representation of numerical quantities.
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How to do $15.78 in money word form
. Which numbers are all divisible by 5?
1. 124, 333, 315, 266, 391
2. 135, 205, 330, 275, 365
3. 135, 211, 330, 274, 252
4. 232, 250, 365, 225, 210
What is value of the digit 5 in the number 75
Evaluate 4-2f when f=1
A ball is dropped from a height of 48 feet. Each time the ball bounces, it travels back up half the distance from which it fell. How many feet has the ball traveled when it hits the ground from the fifth time?
If g(x) = x2, which expression is equal to g(x + 1)
1
x2 + 1
x2 + 2x +1
x2 - x
To find g(x+1) for the function g(x)=x^2, you substitute x+1 into the function to get (x+1)^2, which expands to x^2 + 2x + 1.
Explanation:The function given is g(x) = x^2. To find g(x + 1), you just need to substitute x + 1 into the function where x is. So, g(x + 1) = (x + 1)^2. If we expand this, it becomes x^2 + 2x + 1.
Therefore, the expression that is equal to g(x + 1) is x^2 + 2x + 1.
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What is 10 times as much as 900
Answers:
a
[1] Vertical Angle Theorem[2] Converse of Same Side Interior Angle Theorem
b
[1] Vertical Angle Theorem [2] Same Side Interior Angle Theorem
c
[1] Vertical Angle Theorem [2] Converse of Same Side Exterior Angle Theorem
d
[1] Converse of Same Side Interior Angle Theorem[2] Vertical Angle Theorem
Is 9r+16=π/5 a literal equation?
The given equation is
[tex]\rightarrow 9r+16=\frac{\pi}{5}[/tex]
The value of π is 3.14 or [tex]\frac{22}{7}[/tex] that is a fixed Value.
[tex]\rightarrow 9r +16=\frac{3.14}{5}\\\\9r+16=0.628\\\\9r=0.628-16\\\\9r=-15.372\\\\r=\frac{-15.372}{9}\\\\r=-1.708[/tex]
So, the given equation is Literal ,because variable value is Known.
A literal equation is an equation that has at least one letter or one unknown variable.
[tex]9r + 16= \frac \pi 5[/tex] is a literal equation because it has letter r
Given that:
[tex]9r + 16= \frac \pi 5[/tex]
By analyzing the equation, we have:
[tex]9, 16, 5 \to[/tex] number
[tex]r \to[/tex] letter
[tex]\pi \to[/tex] constant
Because r is a letter, then the equation is a literal equation
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A wheelchair access ramp has an angle of elevation of 18°. If the ramp reaches the top of a 26 inch high porch, how long is the ramp
Tatiana wants to give friendship bracelets to her 323232 classmates. She already has 555 bracelets, and she can buy more bracelets in packages of 444.
Answer:
5+4p ≥ 32
No
Step-by-step explanation:
I promise this is the answer
Denise has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 7mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Denise should plan to spend around 4.2 hours walking back after running. This is calculated using the concept of time = distance / speed and sum of the times, with the total time, running speed and walking speed given as 6 hours, 7 mph, and 3 mph, respectively.
Explanation:To answer the question 'How long should Denise plan to spend walking back?' we can start by finding the time she spends running. We know that Denise has 6 hours to spend training for an upcoming race. We also know that she runs at a speed of 7mph and walks back at a speed of 3mph.
The total time spent running and walking is 6 hours. To find the running time, we should know that time = distance / speed. However, we don't have the distance. But since the distance ran is equal to the distance walked back, we can use the concept of time = distance / speed and sum of times to solve it.
We can denote the distance by D, thus the time spent running is D/7 and the time walking back is D/3. Adding these times should equal 6 hours.
Putting this into an equation: D/7 + D/3 = 6.
We solve this equation to find D, and find the time spent walking back by substituting D back into D/3. Which gives us about 4.2 hours. So, Denise should plan to spend about 4.2 hours walking back after her run.
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rosa scored 174,325 points a games to the nearest ten thousand
anita says ray CD can also be called ray dc. do you agree?
Can a cube with a volume of 4 cubic feet fit in a bookshelf that is 12 inches tall?
The hot dog eating champion eats 27.5 hot dogs in 4 minutes. At that rate, how many does he eat in to 10 minute competition
A flower bed has the shape of a rectangle 9 yards long and 3 yards wide. What is its area in square feet?
Answer:
243 ft2
Step-by-step explanation:
9*3= 27
3*3= 9
27*9=243 ft2
The area of the rectangular flower bed is 243 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
Given that a flower bed has the shape of a rectangle 9 yards long and 3 yards wide.
Length = 9 yards = 9 x 3 feet = 27 feet
Width = 3 yards = 3 x 3 feet = 9 feet
The area of the rectangular flower bed will be calculated as,
Area = L x W
Area = 27 x 9
Area = 243
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What is one and eighty-two hundredths added to fifteen and two-tenths
A weightlifter holds a 1,700 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 500 N. How much work (in J) is required to lift the barbell to a height of 2 m
The work required to lift the barbell to a height of 2 m is 1,700 J.
Explanation:To calculate the work required to lift the barbell to a height of 2 m, we need to consider the gravitational potential energy. The work done is equal to the change in potential energy.
The initial potential energy of the barbell is equal to its weight multiplied by the initial height, which is 1,700 N * 1 m = 1,700 J.
The final potential energy of the barbell is equal to its weight multiplied by the final height, which is 1,700 N * 2 m = 3,400 J.
Therefore, the work required to lift the barbell to a height of 2 m is 3,400 J - 1,700 J = 1,700 J.
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Write an equation and solve. If four times Catherine’s age is subtracted from 5 times Jose’s age, the difference is 32 years. Jose is sixteen. Find Catherine’s age.
Which is greater 1/3 or 0.33
The greater number between 1/3 and 0.33 is 1/3
How to determine which fraction is greaterFrom the question, we have the following parameters that can be used in our computation:
1/3 or 0.33
Express them as decimals
So, we have
1/3 = 0.333..
0.33 = 0.33
By comparison
0.333.. is greater than 0.33
This means that the greater number is 1/3
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how could u demonstrate that there are 1,000 millimeters in 1 meter
Answer:
There are 1000 millimeters in a meter.
Starting from lower scale that is, centimeter, decimeter and then meter
1 cm = 10 mm
1 dm = 10 cm
And 1 meter = 10 dm
So, when you go up to mm from meter, we will do [tex]10^{3}[/tex] to get the relation between meter and mm.
Hence, 1 meter = [tex]10\times10\times10=1000[/tex] millimeters.
please help me solve this maths problem ☺
Answer:
lets
h =# of hens in the filed and c = # of cows in
the field
hens and cows have 50 heads
h + c = 50 (1)
hens and cows have 180 legs (hen has 2
legs and cow has 4 legs)
2h+4c180 (2)
From equation (1) h + c = 50 ----> h = 50 - c
substitute h = 50 c into 2h + 4c = 180 (
-
2h+4c 180
2(50-c) + 4c = 180
1002c+ 4c = 180
2c 180-100
2c=80
C = 40
2h + 4(40) = 180
2h+160 180
2h = 20
h = 10
answer
hens = 10 and cows = 40
double check:
heads: 10 hens + 40 cows = 50 total legs:10(2) + 40(4) = 20 + 160 = 180
Explain how to find the greatest common factor of three numbers
Please help! All the questions.
What is the angular velocity of a 6-foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for pi
A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hold? Express your answer as a mixed number in the simplest form.
Answer: 7/100
Step-by-step explanation:
Count with yo Hands fool
What is u + v + w when u = –10, v = 4, and w = 8? (7th grade math ._.)
A.–22
B.2
C.14
D.22