The value of x is 13
How to determine the valueFrom the diagram shown, we have that the line segments as;
NK = NM + ML + LK
Where;
NK = 23NM = x - 6ML = 9LK = 2x - 19Substitute the values into the equation
(x - 6) + 9 + 2x - 19 = 23
collect like terms
x + 2x -6 + 9 - 19 = 23
Add like terms
3x - 16 = 23
3x = 23 + 16
3x = 39
Divide both sides by 3
x = 39/ 3
x = 13
Thus, the value of x is 13
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If a bagged lunch is chosed at random, what is the possibility that it contains a cheese
sandwich, cookies and water?
Sandwich: Peanut Butter, Cheese, Turkey
Side: Chips, Cookies, Fruit
Drink: Juice, Milk, Water
Answer:
1/27
Step-by-step explanation:
pb.chips.juice
pb.chips.milk
pb.chips.water
pb.cookies.juice
pb.cookies.milk
pb.cookies.water
pb.fruit.juice.
pb.fruit.milk
pb.fruit.watet
time that by three (as every section has three )
or
1/3 of cheese
1/3 of cookies times 1/3 x 1/3 x 1/3 = 1/27
1/3 of water
6. Mi mamá y yo, ayer fuimos al súper y
compramos
ponche de
siguientes artículos:
todo lo necesario para hacer el
navidad, y compramos los
Piloncillo 14 kg
Tejocote 1½ kg-
Manzana 2¾ kg
oldestqx3
Guayaba 0.75 kg
Ciruela 1.75 kg
Caña 2.40 kg
Canela ½ kg
Si mi mama se llevó el piloncillo y el tejocote,
¿cuantos kilos cargo en total?
13
They have to carry 15.5 kg.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Piloncillo 14 kg
Tejocote 1½ kg-
Apple 2¾ kg
oldestq 3
Guava 0.75 kg
Plum 1.75 kg
Cane 2.40 kg
Cinnamon ½ kg
So, if they take piloncillo and the tejocote
they carry,
=14 + 1 1/2
=14 + 3/2
=14 + 1.5
=15.5 Kg
Hence, they have to carry 15.5 kg.
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The complete and translated question is
My mom and I, yesterday we went to the supermarket and
we bought
punch
following items:
everything you need to make the
Christmas, and we bought the
Piloncillo 14 kg
Tejocote 1½ kg-
Apple 2¾ kg
oldestqx3
Guava 0.75 kg
Plum 1.75 kg
Cane 2.40 kg
Cinnamon ½ kg
If my mom took the piloncillo and the tejocote,
How many kilos did I carry in total?
13
Danny's family consumes 20 L of milk every 3 weeks. at the same rate, how many liters of milk will they need to buy for a 6 months supply?
Answer: 160 L
Step-by-step explanation:
There is 24 weeks in 6 months. 6x4= 24
24 weeks divided by 3 (the amount of weeks Danny’s family consumes 20L of milk). You end up with 8 weeks.
Then multiple 8 weeks time the 20 L.
Experiment The wavelength and speed of a wave can be influenced by many factors. Adjust the
amplitude, frequency, tension, and density as described in the table below. Then report whether this
causes the wavelength and wave speed to increase or decrease. Return each variable to its original value
after each experiment.
Adjustment
Increase amplitude
Increase frequency
Effect on wavelength
Effect on wave speed
A wave is a disturbance that moves along a medium from one end to the other. If one watches an ocean wave moving along the medium (the ocean water), one can observe that the crest of the wave is moving from one location to another over a given interval of time. The crest is observed to cover distance. The speed of an object refers to how fast an object is moving and is usually expressed as the distance travelled per time of travel. In the case of a wave, the speed is the distance travelled by a given point on the wave (such as a crest) in a given interval of time. In equation form,
If the crest of an ocean wave moves a distance of 20 meters in 10 seconds, then the speed of the ocean wave is 2.0 m/s. On the other hand, if the crest of an ocean wave moves a distance of 25 meters in 10 seconds (the same amount of time), then the speed of this ocean wave is 2.5 m/s. The faster wave travels a greater distance in the same amount of time.
Reflection phenomena are commonly observed with sound waves. When you let out a holler within a canyon, you often hear the echo of the holler. The sound wave travels through the medium (air in this case), reflects off the canyon wall and returns to its origin (you). The result is that you hear the echo (the reflected sound wave) of your holler.
Noah stands 170 meters away from a steep canyon wall. He shouts and hears the echo of his voice one second later. What is the speed of the wave?
In this instance, the sound wave travels 340 meters in 1 second, so the speed of the wave is 340 m/s. Remember, when there is a reflection, the wave doubles its distance. In other words, the distance travelled by the sound wave in 1 second is equivalent to the 170 meters down to the canyon wall plus the 170 meters back from the canyon wall.
Speed of a Wave Lab - Sample Data
Trial Tension(N) Frequency(Hz) Wavelength(m) Speed(m/s)
1 2.0 4.0 54.00 16.2
2 2.0 8.03 2.00 16.1
3 2.0 12.30 1.33 16.4
4 2.0 16.2 1.00 16.2
5 2.0 20.2 0.800 16.2
6 5.0 12.8 2.00 25.6
7 5.0 19.3 1.33 25.7
8 5.0 25.5 1.00 25.5
In the first five trials, the tension of the rope was held constant and the frequency was systematically changed. The data in rows 1-5 of the table above demonstrate that a change in the frequency of a wave does not affect the speed of the wave. The speed remained a near constant value of approximately 16.2 m/s. The small variations in the values for the speed were the result of experimental error, rather than a demonstration of some physical law. The data convincingly show that wave frequency does not affect wave speed. An increase in wave frequency caused a decrease in wavelength while the wave speed remained constant.
The last three trials involved the same procedure with a different rope tension. Observe that the speed of the waves in rows 6-8 is distinctly different than the speed of the wave in rows 1-5. The obvious cause of this difference is the alteration of the tension of the rope. The speed of the waves was significantly higher at higher tensions. Waves travel through tighter ropes at higher speeds. So while the frequency did not affect the speed of the wave, the tension in the medium (the rope) did. In fact, the speed of a wave is not dependent upon (causally affected by) properties of the wave itself. Rather, the speed of the wave is dependent upon the properties of the medium such as the tension of the rope.
Variables Affecting Wave Speed
What variables affect the speed at which a wave travels through a medium? Does the frequency or wavelength of the wave affect its speed? Does the amplitude of the wave affect its speed? Or are other variables such as the mass density of the medium or the elasticity of the medium responsible for affecting the speed of the wave? These questions are often investigated in the form of a lab in a physics classroom.
Suppose a wave generator is used to produce several waves within a rope of a measurable tension. The wavelength, frequency and speed are determined. Then the frequency of vibration of the generator is changed to investigate the effect of frequency upon wave speed. Finally, the tension of the rope is altered to investigate the effect of tension upon wave speed. Sample data for the experiment are shown below.
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at a baseball game a vender sold a combined total of 141 sodas and hot dogs. the number of sodas was 51 more than the number of hotdogs sold. Find the number of sodas sold and the number of hot dogs sold
In parallelogram ABCD, ZAED is a right angle, AD = 4, and ZB = 60°. What is the length of AE?
OA. 4
OB. 2√3
C. 2
OD. 8
O E. 2√2
Answer:
d
Step-by-step explanation:
Answer:
2 is the answer of this question
Which comparison statement is true? A. -3\4<-2\3 B. -1\6<-1\5 C. -1\2<-2\3 D. −2\3 >−2\4
The comparison statement which is true among the other given answer choices is; Choice A; -3/4<-2/3.
Which is the comparison statement which is true among the answer choices given?It follows from the task content that the comparison statement which is true among the answer choices given be determined.
On this note, one must recall that the arrangement of numbers on the number line is such that numbers are arranged in increasing order of value from left to right. For instance; -3 < -2 while; 2 < 3.
Hence, the answer choice which is correct is; Choice A; -3/4 < -2/3 as evident from the fact that; -0.75 < -0.667.
The concept above follows from the conversion of the numbers to decimals while using the number line arrangement of numbers.
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Multiply. −1 2/3 x (−5 1/4)
5 1/6
-8 3/4
−5 1/6
8 3/4
8.75
Step-by-step explanation:-1 2/3 × (-5 1/4)
=35/4
= 8 3/4
= 8.75
100 points help! (Show your work)
6. How many cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water?
42 cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water.
Given, the capacity of each can is 1.5 litres and the tank holding 63 litres of water. We have to find the number of cans that can be filled from the tank containing 63 litres of water.
Let x number of cans can be filled from the tank containing 63 litres of water having each 1.5 litres in capacity, we have
x = 63/1.5
x = 630/15
x = 42
∴ The required answer is 42.
Hence, 42 cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water.
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What is the next number in the following series of numbers? 3, 6, 9, 15, 24, 39, __
Answer:
Step-by-step explanation:
its e223r252t23t22t.2t23t'23.t'2.t'2.t'2.t2't.23't.2't.32'.t2'.trfff i think
A chef says to cook a Turkey for 1/3 of an hour for every pound the Turkey weighs. How long should you cook a 19 pound Turkey?
Answer:
57 hours
Step-by-step explanation:
19*3 = 57 1/3 pounds
Cook for 1 hour per 1/3 pound
57 hours
Answer:
Step-by-step explanation:
1 hour = 60 min
1/3 of 1 hour = 1/3 x 60 = 20 minutes
19 x 20 = 380 mins
380 minutes = 6 hours and 20 minutes
8 PLEASEEEEEE HELPPPPP
Find the length of each arc. Round your answers to the nearest tenth.
Based on the calculations, the length of the arc of this circle is equal to: C. 61.3 ft.
What is an arc?In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
How to calculate the length of the arc?In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.
Mathematically, the length of an arc formed by a circle is given by:
Arc length = 2πr × θ/360
Substituting the given parameters into the formula, we have;
Arc length = 2 × 3.142 × 13 × 270/360
Arc length = 61.269 ≈ 61.3 feet.
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Which of the 2-values are solutions to the following inequality?
*> 150
Choose all answers that apply:
= 16
x=
x=151
x=200
The height of a triangle is 3 centimeters less than the base. The area of the triangle is 9
square centimeters. Find the length of the base and the height of the triangle.
The length of the base and height of the triangle as described in the task content are; 6cm and 3cm respectively.
What are the length of the base and height of the triangle?It follows from the task content that the Area of the triangle is; 9 cm².
Since, Area = (1/2)b × h. where h = (b-3).
Therefore we have;
9 = (1/2)b × (b-3)
18 = b² -3b
b² -3b -18 = 0.
On this note, by solving quadratically; we have; b = 6 or b = -3.
The base of the triangle is therefore 6 as it cannot be a negative measure.
Consequently, the height, h = (b-3) = 6-3 = 3.
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Solve for x: 5x + 2 = 4x − 9. (Wil mrk branliest) please i really need help
7
−7
11
−11
Answer:-11
Step-by-step explanation:
5x+2-2=4x-9-2
5x-+2-2=4x-9-2
5x=4x-9-2
5x=4x-9-2
5x=4x-11
5x=4x-11
5x-4x=4x-11-4x
5x-4x=4x-11-4x
1x=4x-11-4x
1x=4x=11-4x
x=4x-11=4x
x=4x-11-4x
x=-11
Answer:
-11
Step-by-step explanation:
Group
[tex]5x+2-4x=4x-9-4x\\5x-4x+2=4x-9-4x\\[/tex]
Simplify
[tex]1x+2=4x-9-4x\\x+2=4x-9-4x[/tex]
Group(Again)
[tex]x+2=4x-4x-9[/tex]
Simplify it
[tex]x+2=-9[/tex]
Group(Yet again)
[tex]x+2-2=-9-2[/tex]
Simplify(Final)
[tex]x=-9-2\\x=-11[/tex]
if 60 men do a piece of work in 27 days, then in how many days can 18 men do the same work?
if 60 men do a piece of work in 27 days, then 18 men can do the same work in 90 days.
What is unitary method?The unitary approach is a strategy for problem-solving that involves the first determining the value of a single unit, then multiplying that value to determine the required value.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. In the aforementioned issue, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are solved using the concepts of ratio and proportion.
From the unitary method:
Number of days required to complete a work by 60 men = 27 days
Number of days required to complete a work by 1 man = 27*60
Number of days required to complete a work by 18 men = [tex]\frac{27*60}{18}[/tex]= 90days
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You may remember that the perimeter of a rectangle is P = 2(W+ L) where W is the width and L is the length.
Suppose that the perimeter of a rectangle is 56 feet, and the length is 4 feet more than the width. Find the width of the
rectangle, in feet.
Answer:
12
Step-by-step explanation:
If the perimeter is 56, then 2(W+L) = 56.
If the length is 4 more than the width, then we can write the length as
Width+4 = L or W+4=L
Now, we can plug this back into the equation of 2(W+L)= 56
2(W+(W+4)) = 56
2(2w+4) = 56
4w+8=56
Minus 8 on both sides of the equation
4w = 48
divide both sides by 4
w = 12
solve the following system of equations. 1/x-1/3y=-12. -4/5x+7y=-1/5
The value of
x = 1/9
y = 1/63
We have given two equations :
1/x - 1/3y = -12 ... eq. (1)
- 4/5x + 7y = -1/5 ... eq. (2)
First we will multiply the 1st equation by 4/5,
We get, 4/5x - 4/15y = -48/5 ... eq. (3)
Now, we will add the equation 3 and equation 2
4/5x - 4/15y = -48/5
- 4/5x + 7y = -1/5
____________________
7y - 4/15y = -49/5
(105y - 4)/15y = -49/5
105y - 4 = (-49/5) × 15y
105y - 4 = -49 × 3y = -147y
105y + 147y = 4
y = 4/252
y = 1/63
We get the value of y which is 1/63,
Now, we will solve the eq. 1 by putting is equal to 1/63.
1/x - 1/3y = -12
1/x - (1 × 63/3 × 1) = -12
1/x -21 = -12
1/x = 21 - 12 = 9
x = 1/9
Hence, we get the value of x and y as 1/9 and 1/63 respectively.
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Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number
After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
What is Equation Modelling?Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
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Find the slope
(6, 13) and (2,7)
A house on the market was valued at $397,000. After several years, the value decreased by 8%. By how much did the
house's value decrease in dollars? What is the current value of the house?
Answers:
The house's value decreased by $31,760
The current value is $365,240
===========================================================
Work Shown:
8% of 397,000 = 0.08*397000 = 31,760 is the amount of lost value in the home. In other words, the value has dropped by this much.
The current value is 397,000-31,760 = 365,240
---------------
If you didn't care about how much value was lost, and only cared about the current value, then you can take this slight shortcut
100% - 8% = 92%
92% of 397,000 = 0.92*397000 = 365,240
If the house lost 8% of its value, then it keeps the remaining 92% to be currently valued at $365,240
This shortcut is useful if you wanted to chain together many percentage increases or decreases together.
what is the standard numeral for (6×10²) + (2×10²) + (7×10²) + (4×10²) + (9×10²) + (5×10²)
Can someone help with this question?✨
Answer:
[tex]y=700x+48000[/tex]
[tex]52,200[/tex]
Step-by-step explanation:
Generally for a linear equation you use the slope-intercept form: [tex]y=mx+b[/tex]
In this form, [tex]m=\text{slope},\ b=\text{y-intercept}[/tex]
The y-intercept is just when x=0, so it can be seen as a "starting point". in this case the initial population was 48,000 so we know that: [tex]b=48000[/tex]
The slope is just how much y-changes as x increases by one, and in this case our "x" will represent how many years it's been since 2003. So the slope will represent how much the population increases each year, and this is given in the word problem as 700 people each year.
So now we have the equation: [tex]y=700x+48000[/tex]
From 2003 to 2009, 6 years have passed meaning the population is the y-value when x=6: [tex]y=700(6)+48000\\y=52,200[/tex]
65 POINTS!!!!!
Factor each expression. If it cannot be factored, write “prime.”
9. 4x-16
10. 18k+42
11. 16r-25
12. 20m-8n
Answer:
all of them are prime.
Step-by-step explanation:
Answer:
9. 4(x -4)
10, 6 (3k + 7)
11. Prime
12. 4(5m -2n)
Step-by-step explanation:
What is the Value of Log0.5 16
The value of Log0.5 16 is -4.
Let log0.5 16 = x ⇒ 0.5x = 16 ⇒ ( 5 10 ) x = 2 × 2 × 2 × 2. ⇒ ( 1 2 ) x = 2 4. ⇒ 1 2 x = 2 4. ⇒ 2- x = 24 ⇒ - x = 4 ⇒ x = - 4.
Thus, log0.516 = - 4.
Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity). Let's examine the Richter scale, which uses a logarithmic function to determine the size of earthquakes.
Scottish mathematician John Napier (1550–1617) created logarithms in the 17th century as a tool for computation. He derived the term from the Greek words for ratio (logos) and number (arithmos).
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HELP PLEASEEEEEEE!!!!!!!!
Answer:
0.1764
0.2025
Step-by-step explanation:
Let x be a perfect square such that √x lies between 0.4 and 0.5
Then y = √x
Then we have the inequality
0.4 < √x < 0.5
==> 0.4 < y < 0.5
So the number x must lie between 0.4² = 0.16 and 0.5² = 0.25
So the square of any number between 0.4 an 0.5 will be a perfect square fitting the requirement
Let's take y = 0.42. Then y² = 0.42² = 0.1764
y = 0.45 gives y² = 0.2025
So two perfect squares whose square root values lie between 0.4 and 0.5 are 0.1764 and 0.2025
In fact squaring any value between 0.4 and 0.5 will provide such a number
5: 2.1 Modeling with Expressions rpreting Parts of an Expression 1. In the given expression 12x + 13y - 4z + 2, identify the following: . Terms: . Coefficients: 3. Sally identified the terms of the expressions 9a + 4b - 18 as 9a, 4b and 18. Explain her error. . What is the coefficient of b + 10. rpreting Algebraic Expressions in Conte: Its 1
The terms and coefficients of the expressions are found by taking the connectors as additions using the '+' symbol as follows;
A. 1. Terms; 12•x, 13•y, (-4•z), 2
2. Coefficients; 12, 13, -4, 2
B. The error is in not expressing the addition connecting the constant term.
C. The coefficient is 1
What are the parts of the expressions?A term in an expression are the parts of the expression that are connected together using addition or subtraction
A coefficient is the number multiplying a variable within a term of the expression
Therefore;
A. The expression 12•x + 13•y - 4•z + 2, can be written as follows;
12•x + 13•y - 4•z + 2 = 12•x + 13•y + (-4•z) + 2
The terms of the given expression 12•x + 13•y - 4•z + 2, which is the same as 12•x + 13•y + (-4•z) + 2, are therefore;
1. Terms; 12•x, 13•y, (-4•z), 2
The coefficients are;
2. Coefficients; 12, 13, -4, 2
B. The given expression is 9•a + 4•b - 18
Writing the subtractions as additions, to indicate the signs of the coefficient gives;
9•a + 4•b - 18 = 9•a + 4•b + (-18)
The terms are therefore; 9•a, 4•b, and (-18)
The error is in not including the addition sign before the constant.C. The expression, b + 10, has only one variable, which is b, the coefficient of the expression is therefore the coefficient of b, which is 1.
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5 + 3 - 2 = 8 - 2 please solve
Answer:
6
Step-by-step explanation:
5+3−2
=8−2
=6
---------
Write the equation in scientific notation. (6 x 10^-5)(7 x 10^11)
The value of the equation (6 x 10^-5)(7 x 10^11) in scientific notation is 4.2 x 10^7
How to write the equation in scientific notation?The equation is given as
(6 x 10^-5)(7 x 10^11)
Rewrite properly as
(6 x 10^-5)(7 x 10^11) = (6 x 10^-5) x (7 x 10^11)
Remove the bracket
So, we have
(6 x 10^-5)(7 x 10^11) = 6 x 10^-5 x 7 x 10^11
Rewrite the product as
So, we have
(6 x 10^-5)(7 x 10^11) = 6 x 7 x 10^-5 x 10^11
Evaluate the product
So, we have
(6 x 10^-5)(7 x 10^11) = 42 x 10^6
Evaluate the product
So, we have
(6 x 10^-5)(7 x 10^11) = 4.2 x 10^7
Hence, the value of the the equation (6 x 10^-5)(7 x 10^11) in scientific notation is 4.2 x 10^7
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