The simplified expression is (x - 5) / (2x).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expression given is 3 (x - 5) / (6x)
We can simplify this expression by following the order of operations, which is a set of rules that tells us which operations to perform first in a mathematical expression.
The order of operations.
Perform any calculations inside parentheses first.
Exponents (ie: powers and square roots, etc.)
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
Using the order of operations, we can simplify the expression as follows:
We start by simplifying the expression inside the parentheses.
x - 5 represents five less than x.
Next, we multiply the result of step 1 by 3.
= 3 (x - 5)
= 3x - 15
Finally, we divide the result of step 2 by the product of 6 and x.
= (3x - 15) / (6x)
= (3(x - 5)) / (6x)
= (x - 5) / (2x)
Therefore,
The simplified expression is (x - 5) / (2x).
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f(x) = square root x - 5 find f^-1
Solve using the multiplication principle. Don't forget to perform a check.
48=6x
The solution is x=
find real numbers a and b such that the equation a+bi=13+9i is true.
Final answer:
The real numbers a and b that make the equation a+bi=13+9i true are a = 13 and b = 9. We match real and imaginary parts of the complex numbers to find a and b.
Explanation:
To find the real numbers a and b such that the equation a+bi=13+9i is true, we simply match the real parts and the imaginary parts of the complex numbers on both sides of the equation. The real part of a+bi is a, and the real part of 13+9i is 13. Therefore, a = 13. Similarly, the imaginary part of a+bi is bi and the imaginary part of 13+9i is 9i. Thus, b = 9. Hence, the values we are looking for are a = 13 and b = 9.
how do I get the answer for this
I NEED THIS ASAP! 3(p+2)−7p=18
the elementary school lunch menu repeats every 20 days. the middle school lunch menu repeats every 15 days. both schools are serving pizza today. in how many days with both schools serve pizza again?
A machine produces 268 bolts in 28 minutes. At the same rate, how many bolts would be produced in 21 minutes?
Using simple mathematical operations, we know that 201 bolts are produced in 21 minutes.
What exactly are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, division (from Left to right), addition, and subtraction (from left to right).So, the bolts produced in 21 minutes are:
Bolts produce is 28 min: 268In 21 minutes: xCalculate as follows:
268/28 = x/21 (Cross-multiply)28x = 21(268)28x = 5,628x = 5,628/28x = 201Therefore, using simple mathematical operations, we know that 201 bolts are produced in 21 minutes.
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Final answer:
To find the number of bolts produced in 21 minutes, set up a proportion using the given information: 268 bolts / 28 minutes = x bolts / 21 minutes. Simplifying, we find that x = 201 bolts.
Explanation:
To find the number of bolts produced in 21 minutes, we can set up a proportion using the given information. We know that the machine produces 268 bolts in 28 minutes. Let x be the number of bolts produced in 21 minutes.
Using the proportion:
268 bolts / 28 minutes = x bolts / 21 minutes
Multiplying both sides by 21, we get:
(268 bolts / 28 minutes) * 21 minutes = x bolts
Simplifying, we find that x = 201 bolts.
Drag each equation to show if it could be a correct first step to solving the equation
2 (x + 7) = 36.
_____________________________________
| (2 · x) + (2 · 7) = 36 | 2x + 7 = 36 |
| x + 7 = 18 | 2(x + 7) = 72 |
| 2x + 14 = 36 | x + 14 = 36
Yes No Not Enough Info
Answer:
Yes
(2 · x) + (2 · 7) = 36x + 7 = 182x + 14 = 36No
2x + 7 = 362(x + 7) = 72x + 14 = 36Step-by-step explanation:
It is appropriate to eliminate parentheses as a first step. This can be done using the distributive property, resulting in either of ...
2x +2·7 = 362x +14 = 36 . . . . . 2·7 evaluated mentallyor by dividing the equation by the factor outside parentheses, resulting in ...
x + 7 = 18___
Any of the equations other than these represent violations of the equal sign. Something has been done to one side of the equation without the same thing being done to the other side.
Jose bought a bag of 6 oranges for $2.82. He also bought 5 pineapples. He gave the cashier $20 and received $1.43 change. How much did each pineapple cost?
Jose bought a bag of [tex]6[/tex] oranges for [tex]\$2.82[/tex] and Jose also bought [tex]5[/tex] pineapples each cost [tex]\$3.15[/tex].
Explanation:
Given: Jose bought a bag of [tex]6[/tex] oranges for [tex]\$2.82[/tex]. He also bought [tex]5[/tex] pineapples. He gave the cashier [tex]\$20[/tex] and received [tex]\$1.43[/tex] change.
Let cost of a pineapple be [tex]x[/tex].
According to the question:
Cost of pineapple is calculated as [tex]20-(2.82+5x)=1.43[/tex]
[tex]20-2.82-5x=1.43\\[/tex]
[tex]5x=17.18-1.43\\[/tex]
[tex]x=\frac{15.75}{5} \\x=3.15[/tex]
Therefore, cost of each pineapple is [tex]\$3.15[/tex].
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62.4 percent of what number is 17.16
Luis can drive 3 times as fast as rico can ride his bike. If it takes rico 4 hours longer than Luis to travel 72 miles, how fast can ricoride his bike
Suppose that block m = .050kg, sometime after reaching the base of the incline, undergoes a completely inelastic collision with the stationary block m = .075kg. use the principle of conservation of linear momentum to determine the common speed of the blocks just after the collision. (carry the answer to one decimal place)
The common speed of the blocks just after the collision is 0.4 times the initial velocity of the first block (v₁).
To determine the common speed of the blocks just after the completely inelastic collision, we can use the principle of conservation of linear momentum.
According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
Let's denote the velocity of the first block (m = 0.050 kg) before the collision as v₁ and the velocity of the second block (m = 0.075 kg) before the collision as v₂. Since the second block is stationary, its initial velocity, v₂, is 0.
1. Before the collision, the total momentum is given by:
Initial momentum = m₁v₁ + m₂v₂
where m₁ and m₂ are the masses of the first and second blocks, respectively.
Plugging in the values, we have:
Initial momentum = (0.050 kg) v₁ + (0.075 kg) 0
Initial momentum = (0.050 kg)v₁
2. After the collision, the two blocks stick together and move as a single unit with a common velocity, denoted as vf.
The final momentum is given by:
Final momentum = (m₁ + m₂) vf
where (m₁ + m₂) is the total mass of the system.
Plugging in the values, we have:
Final momentum = (0.050 kg + 0.075 kg) × vf
Final momentum = 0.125 kg × vf
According to the principle of conservation of linear momentum, the total momentum before the collision is equal to the total momentum after the collision:
0.050 kg × v₁ = 0.125 kg × vf
To determine the common speed of the blocks just after the collision, we need to solve for vf:
vf = (0.050 kg × v₁) / (0.125 kg)
Calculating the numerical value, vf = 0.4 × v1
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The LA theorem is a special case of the?
Answer:
The LA theorem is a special case of the AAS theorem and the ASA postulate.
Step-by-step explanation:
The LA theorem is a special case of the AAS theorem and the ASA postulate.
LA(Leg - Acute) theorem states that if the leg and one acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
AAS (Angle Angle Side) states that if two angles and the non included side of one triangle are congruent to two angles and the non included side of another triangle, then these two triangles are congruent.
ASA (Angle Side Angle) postulate states that if two angles and one included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
A like is drawn through (-4,3) and (4,3). which describes whether or not the line is represents a direct variation?
Which formula gives the area of rectangle EFHG? area = d × j area = (e + h) × (f + i) area = (e + h) × j area = (e + h) × (f + c) NextReset
52 thousandth scientific Notation
(1 over x^2+3x-10)-(6 over x-2)
This is a question I don't quite understand, will someone please help me?
Help me with number 4...
An insufficient funds check was returned to your company. How does the bank treat this on your bank statement
How many feet are in 84 inches
Find the distributive property of 24+40
∠1 and ∠2 are supplementary and m∠1 = m∠3. Which one of these statements will always be true?
Given: Angle 1 and angle 2 are supplementary.
Angle 3 and angle 4 are supplementary.
Angle 1 is congruent to angle 3.
Prove: Angle 2 is congruent to angle 4.
How to find the inverse of f(x) = -(3/-x-3) - 2
The inverse is f⁻¹(x) = -3(x + 1)/(x + 2).
To find the inverse of the given function f(x), follow these steps:
Replace f(x) with y: y = -(3/(-x-3)) - 2Swap x and y to start finding the inverse: x = -(3/(-y - 3)) - 2Isolate the term with y: x + 2 = -(3/(-y - 3))Multiply both sides by (-y - 3) to get: (x + 2)(-y - 3) = -3Distribute x + 2: -xy - 3x - 2y - 6 = -3Collect y terms on one side: -xy - 2y = 3x + 3Factor out y: y(-x - 2) = 3(x + 1)Solve for y: y = -3(x + 1)/(x + 2)Thus, the inverse function is f⁻¹(x) = -3(x + 1)/(x + 2).
0.0013 in scientific notation
The scientific notation of the decimal number 0.0013 is [tex]0.0013 \times 10^{-3}[/tex].
Scientific notation is a way to express numbers in a concise form, particularly useful for very large or very small numbers.
It consists of two parts: a coefficient and an exponent of 10.
In the case of 0.0013, we can convert it to scientific notation as follows:
[tex]0.0013 \times 10^{-3}[/tex].
Hence, the scientific notation of 0.0013 is [tex]0.0013 \times 10^{-3}[/tex].
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Part A: Solve A = (x + 23) for x. (4 points) Part B: Determine the value of x when A = 108. (2 points) Part C: Solve -np - 90 > 30 for n. Show your work. (4 points)
A firm advertises for workers to address envelopes. Priscilla says she will work 100 hours. Herb will work for 80 hours. If each can address 10,000 envelopes in the time they work, how long would it take them to address 10,000 envelopes if they work together?
Priscilla and Herb would take approximately 44.44 hours to address 10,000 envelopes together, as Priscilla can address 100 envelopes per hour and Herb can address 125 envelopes per hour.
The question asks about the combined work rate of Priscilla and Herb in addressing 10,000 envelopes. To solve this, we calculate each of their rates of work and then combine them to find the total rate. Priscilla completes 10,000 envelopes in 100 hours, so her rate is 100 envelopes per hour. Herb completes 10,000 envelopes in 80 hours, so his rate is 125 envelopes per hour. Working together, their combined rate is 100 + 125 = 225 envelopes per hour. To address 10,000 envelopes at this rate, we divide 10,000 by 225, which equals approximately 44.44 hours.
Look at all the measurements in model 4. when a number in scientific notation is changed to expanded notation, are any of the added zeros significant
The added zeros when changing a number from scientific notation to expanded notation are usually not considered significant. They primarily serve as placeholders and do not indicate precision of measurements.
Explanation:In the field of Mathematics, specifically when working with numbers in scientific notation and expanded notation, the concept of significant zeros comes into play. When you convert a number from scientific notation to expanded notation, zeros that are included in this process are not considered to be significant. Rather, the concept of significant zeros mostly applies to measurements and the precision of those measurements. For example, in the measurement 300.0, the zero at the end is significant because it shows the measurement was precise to the tenth's place. However, in changing a number from scientific to expanded notation, any added zeros primarily serve as placeholders and are typically not considered significant.
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A cubic yard of topsoil weighs 4,128 pounds.About how many 50-pound bags can you fill with one cubic yard of topsoil?
Answer:
Approximately 83 bags each carrying 50 pounds of soil will carry 1 cubic yard of soil or 4,128 pounds of soil.
Step-by-step explanation:
We are given the following information in the question:
1 cubic yards is equal to 4128 pounds that is
[tex]1~yard^3 = 4,128~pounds[/tex]
Amount of soil 1 bag can hold = 50 pounds
Number of bags to hold 1 cubic yard of soil or 4,128 pounds of soil:
Formula:
[tex]\text{Number of bags} = \displaystyle\frac{\text{Total amount of soil}}{\text{Amount of soil 1 bag can hold}}[/tex]
[tex]= \displaystyle\frac{4128}{50} = 82.56[/tex]
Thus, approximately 83 bags each carrying 50 pounds of soil will carry 1 cubic yard of soil or 4,128 pounds of soil.
Roast beef has 25g of protein and 11g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcuim. How many servings of each are needed to supply exactly 29g of protein and 61 g of calcuim?