The two numbers are 8 and 12.
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
Let us assume first number be = x
and, let the second number be = y
the,
One number is 4 less than a second number means :
x = y - 4........(1)
Twice the second number is 16 less than 5 times the first means :
2y = 5x - 16.......(2)
Substitute x equals from the first equation in the second equation.
2y = 5(y - 4) - 16
2y = 5y - 20 - 16
-3y = -36
y = 12
Now use the first equation for find x.
x = y - 4
x = 12 - 4
x = 8
Thus, The numbers are 8 and 12.
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Calculate the length of the line segment. Round your answer to tje nearest tenth .
The required measure of the length of the given line is 8.6 units.
What is Distance?Distance is defined as the object traveling at a particular speed in time, from one point to another.
here,
Locate the end point of line in the graph,
end point of the line from the graph is given as (0, 8) and (7, 3)
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂ - y₁]²]
Substitute the point in the above equation,
D = √[[7]² + [3 - 8]²]
D = √49 + 25
D = √74
D = 8.6
Thus, the required measure of the length of the given line is 8.6 units.
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(1 over x^2+3x-10)-(6 over x-2)
is c+3/5=15 an identity
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 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.
f(x) = square root x - 5 find f^-1
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)
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
How many feet are in 84 inches
This is a question I don't quite understand, will someone please help me?
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?
A like is drawn through (-4,3) and (4,3). which describes whether or not the line is represents a direct variation?
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?
how do I get the answer for this
can you show me the work to get this answer write two expressions that have a gcf of 8xy
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.
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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Which number does the 6 have a value that is one-tenth the value of 6 in 34,761?
The number in which the 6 has a value that is one-tenth the value of the 6 in 34,761 is 3,476.1
In the number 34,761, the digit 6 is in the tens place, giving it a value of 60. To find a number where the value of 6 is one-tenth of 60, we look for a place value that is one position to the right.
In 3,476.1, the 6 is in the ones place, making its value 6, which is one-tenth of 60. This shift from the tens place to the ones place decreases the value by a factor of ten.
I NEED THIS ASAP! 3(p+2)−7p=18
An insufficient funds check was returned to your company. How does the bank treat this on your bank statement
16 lbs of brand M cinnamon costing $17/lb was made by combining Indonesian cinnamon which costs $19/lb with Thai cinnamon which costs $11/lb. Find out how much of each type of cinnamon was used to make the Brand M blend. (Need it done algebraically)
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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Solve using the multiplication principle. Don't forget to perform a check.
48=6x
The solution is x=
how do you know that the sum of (-2 3/4) and 5/9 is rational?
A.The sum is a terminating and repeating decimal
B.The sum is a non-terminating and a non-repeating decimal.
C.The sum is a fraction
D.The sum is an integer
Answer:
c
Step-by-step explanation:
Answer:
The sum is fraction therefore rational
Step-by-step explanation:
Given two numbers
[tex]-2\frac{3}{4}\text{ and }\frac{5}{9}[/tex]
we have to tell that how their sum is rational.
we add the above two number
[tex]-2\frac{3}{4}+\frac{5}{9}[/tex]
[tex]\frac{-11}{4}+\frac{5}{9}[/tex]
[tex]\frac{-99+20}{36}=\frac{-79}{36}=-2.194444...[/tex]
Hence, the sum is we can say fraction or non-terminating but repeating which is the definition of a rational number.
∴ from the given options answer C is correct.
The sum is fraction therefore rational.
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
Help me with number 4...
62.4 percent of what number is 17.16
Find the distributive property of 24+40
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.
52 thousandth scientific Notation