Answer:
The given expression represents the Associative Property of Addition.
Step-by-step explanation:
Here, the given expression is given as:
(2+3.4) + 6 = 2 + (3.4+6)
Now, for any 3 terms a, b and c the given properties in the options are described as:
1. Associative Property of Addition
(a +b) + c = a + (b + c)
2. Commutative Property of Multiplication
a x b = b x a
3. Inverse Property of Multiplication
[tex]a \times \frac{1}{a} = 1[/tex]
4. Commutative Property of Addition
a+ b = b + a
Hence, from the given expression,we can see that:
(2+3.4) + 6 = 2 + (3.4+6)
⇒(a +b) + c = a + (b + c)
Hence, the expression represents the Associative Property of Addition
Final answer:
The statement (2+3.4) + 6 = 2 + (3.4+6) demonstrates the Associative Property of Addition, indicating that the sum of a set of numbers is the same regardless of how the numbers are grouped.
Explanation:
The property illustrated by the statement (2+3.4) + 6 = 2 + (3.4+6) is the Associative Property of Addition. This property states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. For instance, as shown in the statement, (a + b) + c equals a + (b + c), which means that the groupings of the numbers can be changed without affecting the total sum. This is not to be confused with the Commutative Property of Addition, which is about the order of the numbers and states that A + B equals B + A. The commutative property tells us that we get the same result whether we add 2 + 3 or 3 + 2. However, the question explicitly deals with the grouping of numbers, not the order, thus confirming that the associative property is in use.
15. What is the sum of a number and its
opposite?
Answer:
the sum of two numbers is multplication and its opposite is a negative version of it
Step-by-step explanation:
After eating dinner at a restaurant, Sid's bill before tax is
$62.00. The sales tax rate is 8%. Sid decides to leave a
15% tip for the waiter based on the pre-tax amount. How
much money will Sid pay total, including tax and the tip?
Sid will pay $76.26 in total including ta and tip.
Step-by-step explanation:
Given,
Cost of Sid's bill = $62.00
Tax rate = 8%
Tip = 15%
Tax amount = 15% of bill
[tex]Tax\ amount=\frac{8}{100}*62.00\\Tax\ amount=0.08*62.00\\Tax\ amount=\$4.96[/tex]
As the tip will be on Pre-tax amount, therefore,
Tip amount = 15% of bill
[tex]Tip\ amount=\frac{15}{100}*62.00\\Tip\ amount=0.15*62.00\\Tip\ amount=\$9.30[/tex]
Total amount = Bill + Tax amount + Tip amount
Total amount = 62.00 + 4.96 + 9.30 = $76.26
Sid will pay $76.26 in total including ta and tip.
Keywords: addition, percent
Learn more about addition at:
brainly.com/question/2860697brainly.com/question/2977815#LearnwithBrainly
Answer:
76.26
Step-by-step explanation:
Write the point slope form of the equation of the line through the given points.
EXPLAIN AND SHOW WORK! Please and thanks.
through: (5, -3) and (0, 3)
Answer:
[tex]\displaystyle y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \frac{3 + 3}{-5 ± 0} = -\frac{6}{5} = -\frac{1}{5}[/tex]
Then plug these coordinates into the Point-Slope Formula Remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. It does not matter which ordered pair you choose:
[tex]\displaystyle y - y_1 = m[x - x_1] \\ \\ y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]
I am joyous to assist you anytime.
Match the statements with their values. *see photo for reference*
Answer:
See the attached figure.
Step by step solution:
Part (1):
When ΔABC is an isosceles triangle with AB = AC
The summing of the three of the triangle = 180°
∴ m∠ABC + m∠BAC + m∠ACB = 180°
================================================
Part (2):
When ΔABC is an isosceles triangle with AB = AC
So, m∠ABC = m∠ACB = x
if m∠BAC = 70
∵ m∠ABC + m∠ACB + m∠BAC= 180°
∴ x + x + 70 = 180 ⇒ x = 55°
∴ m∠ABC = 55°
===================================================
Part (3):
When m∠QRP = 30°, and ΔPQR is an isosceles triangle with PQ = QR
So, m∠QPR = m∠QRP = 30°
====================================================
Part (4):
When m∠BAC = 45° and points D and E are the midpoints of AB and BC in ΔABC
∵ Points D and E are the midpoints of AB and BC in ΔABC
∴ DE // AC
∴ m∠BDE = m∠BAC ⇒ the corresponding angles are congruent
∴ m∠BDE = 45°
A tablet takes 120 mins to charge. The fully charged tablet gives 180 mins of game time. If the battery is completely discharged but the power cord is plugged in, how long will it take to fully charge the battery, whilst playing a game?
Answer:
Full charge will be done in 360 minutes.
Step-by-step explanation:
A tablet takes 120 mins to charge.
So, in one minute the tablet is charged by [tex]\frac{1}{120} = 0.00833[/tex] parts.
Again, the fully charged tablet gives 180 mins of game time.
So, the tablet discharges fully in 180 mins gaming.
Then, in 1 minute of game playing the tablet is discharged by [tex]\frac{1}{180} = 0.00556[/tex] parts. (Appx.)
If charging and discharging by playing games both continue from the zero charge in the tablet, then in one minute it will be charged by (0.00833 - 0.00556) = 0.00277 parts. (Appx.)
Then full charge will be done in [tex]\frac{1}{0.00277} = 360[/tex] minutes. (Answer)
A. 231
B. 39
C. 129
D. 51
Answer:
the answer is
129
Step-by-step explanation:
cyclic
evaluate this exponential expression. 25^5/2
Answer:
3.125
Step-by-step explanation:
What is the mean 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 8
Answer:
Step-by-step explanation:
3+3+4+5+6+6+7+7+7+8+8=64
64÷11=5.81818181818
simplify to......5.82
Answer: 5.81818181818
Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.
So to find the mean of the data set shown here, let's begin by adding the numbers.
So we have [tex]\frac{3 +3+4+5+6+6+7+7+7+8+8}{11}[/tex] and notice that I put an 11 on the bottom since there are 11 numbers.
Adding the numbers, we get 64. This will be divide by how many numbers are in the set or 11.
[tex]\frac{64}{11} = 5.81818181818[/tex]
Therefore, the mean of the data set is 5.81818181818.
Is the binomial a factor of the polynomial nominal function?
Select Yes or No for each binomial.
I accidentally said “no” for the first two on the chart. I need everything on the chart answered. Thanks!
The factors for given equation f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex].
(x-1) - No(x-3) - No(x+3) - Yes(x-5) - Yes(x+5) - YesStep-by-step explanation:
The given equation is f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex] .
Add 0 at the end of the equation.
[tex]x^{3} +3x^{2} -25x-75[/tex] = 0.
Let us group the given equation,
[tex](x^{3} +3x^{2}) -(25x-75)[/tex] =0.
⇒ Group 1: [tex]x^{3} +3x^{2}[/tex] .
Group 2: [tex]- 25x +75[/tex] .
Pull out factor from each group,
⇒ Group 1: [tex](x+3)(x^{2})[/tex].
Group 2: (x+3) (-25).
Join the two group since both (x+3) is common in both groups.
[tex](x+3)(x^{2} -25)[/tex] =0.
One of the factor is (x+3).
Other factors are solved by the formula, [tex]a^{2}-b^{2} = (a+b) (a-b)[/tex] .
[tex](x+3)(x^{2} -25)[/tex] = (x+5) (x-5) .
The other factors are (x+5) and (x-5).
p= -5x2 + 70x - 165
For this case we have the following quadratic equation:
[tex]p = -5x ^ 2 + 70x-165[/tex]
To find the roots, we equal 0.
[tex]-5x ^ 2 + 70x-165 = 0[/tex]
Where:
[tex]a = -5\\b = 70\\c = -165[/tex]
The solution will be given by:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]
Substituting we have:
[tex]x = \frac {-70 \pm \sqrt {70 ^ 2-4 (-5) (- 165)}} {2 (-5)}\\x = \frac {-70 \pm \sqrt {4900-3300}} {- 10}\\x = \frac {-70 \pm \sqrt {1600}} {- 10}\\x = \frac {-70 \pm40} {- 10}\\x = - (-7\pm4)[/tex]
We have two roots:
[tex]x_ {1} = 7-4 = 3\\x_ {2} = 7 + 4 = 11[/tex]
Answer:
[tex]x_ {1} = 3\\x_ {2} = 11[/tex]
The function h(x) is defined as shown.
h(x) = StartLayout Enlarged left-brace 1st row 1st column x + 2, 2nd column x less-than 3 2nd row 1st column negative x + 8, 2nd column x greater-than-or-equal-to 3 EndLayout
What is the range of h(x)?
–∞ < h(x) < ∞
h(x) ≤ 5
h(x) ≥ 5
h(x) ≥
Answer:
h(x) ≤ 5
Step-by-step explanation:
The function is continuous and has a maximum value of 5. Its range is ...
h(x) ≤ 5
Answer:
b
Step-by-step explanation:
edge 2020
-Help?-
Simplify.
[tex]8\sqrt{63x^{14} 14y^{9}[/tex]
Assume x and y are nonnegative.
A: [tex]24x^{7}y^{4}\sqrt{7y}[/tex]
B: [tex]3x^{7}y^{4}\sqrt{7y}[/tex]
C: [tex]24x^{5}y^{4}\sqrt{7x^{2}y}[/tex]
D: [tex]24x^{7}y^{3}\sqrt{7}[/tex]
Answer:
C.
Step-by-step explanation:
https://tex.z-dn.net/?f=24x%5E%7B5%7Dy%5E%7B4%7D%5Csqrt%7B7x%5E%7B2%7Dy%7D
this is correct
the simplified expression is [tex]\(24x^7 y^4 \sqrt{7y}\)[/tex], which corresponds to option A.
To simplify the expression [tex]\(8\sqrt{63x^{14}14y^9}\),[/tex] we can break down the radicand into its prime factors and then simplify:
[tex]\(8\sqrt{63x^{14}14y^9} = 8\sqrt{7 \cdot 9 \cdot 7 \cdot 2 \cdot (x^7)^2 \cdot (y^4)^2 \cdot (y^1)}\)[/tex]
Now, we can take the square root of perfect squares and pull them out of the square root:
[tex]\(8 \cdot 3 \cdot 7 \cdot x^7 \cdot y^4 \cdot \sqrt{y}\)[/tex]
Simplifying further:
[tex]\(24x^7 y^4 \sqrt{7y}\)[/tex]
To know more about expression:
https://brainly.com/question/36917962
#SPJ3
What are the domain and range of f(x) = 4* – 8?
domain: {x | x is a real number}; range: {yl y> -8}
domain: {x | x is a real number}; range: {yl y> 8}
domain: {x | x > 4}; range: {yly>-8}
domain: {x | x>-4}; range: {y | y>8}
O
Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8 because the minimum is -8.
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
The domain of f(x) = 4x - 8 is all real numbers, as x can take any value without restriction. The range is all values greater than or equal -8 because this is the function's minimum value (occurs when x=0).
Explanation:In mathematics, the domain and range of a function represent the set of input values (x-values) and output values (y-values) respectively. For the function f(x) = 4x - 8, the domain is all real numbers, represented as {x | x is a real number} because there's no restriction on the values that x can take. On the other hand, the range is all values greater than or equal to -8, which is represented as {y | y > -8}, since the function's minimum value occurs at y=-8 (when x=0).
Learn more about Domain and Range here:https://brainly.com/question/36903938
#SPJ2
please help me!!! I'm lost tap the attachment
Answer:
Below.
Step-by-step explanation:
I'll do number 20, 21, 22 for you.
20. It is ±1, ±2, ±4, ±8.
21. Reflected over the x-axis and down 4.
22. Common ratio = 25/5 = 5.
23. Imaginary roots occur in pairs so there is also a root -5i.
The answer is c.
19. Option (a).
This is a translation of 4 to the left ( due to the (x + 4).
Consider the transformation of a ΔABC to produce a ΔDEF. Which sequence of transformations results in triangles similar but not congruent?
A) horizontal reflection, then vertical reflection
B) translation 4 units right, then vertical reflection
C) 180° clockwise rotation, then translation 7 units down
D) translation 5 units up, then dilation with a factor of
1
4
Answer:
D) translation 5 units up, then dilation with a factor of 1/4
Step-by-step explanation:
The Geometric Transformation over a triangle that produces a similar triangle an not a congruent one is, the one that makes its sides larger\smaller but maintain its angle measures. Namely, the Dilation.
1) In the example below, we have a pair of isosceles triangle ABC and DEF
2) Translating up 5 units adding 5 units to y in DEF
3) Check it out on the third graph how the triangle DEF is similar to ABC share the same angle measure with different legs size.
4) So it's D
Answer:
The answer is d
Step-by-step explanation:
Order these decimals from least to greatest: 0.35 3.5 0.53 0.3 0.05
Answer:
0.53, 0.35, 0.05, 0.03, and 3.5
Step-by-step explanation:
Order Least to greatest
Some equations have the form y=kx, where k is a number. Drag each equation to the correct category below
Answer:
Step-by-step explanation:
Has the form y = kx :
y = -0.05x
y =50x
Can be put in the form of y = kx:
y/7 = x
y/x = 6.5
other:
y = 1/5x - 1/5
2x + 1/2 = y
The equation y=kx is a form of a linear equation where there is a direct proportionality between the variables 'y' and 'x'. This equation reflects a direct variation scenario, where 'y' increases or decreases as 'x' does.
Explanation:The question pertains to the understanding and categorization of linear equations, which are frequently used in Mathematics and Physics. You mention the equation y=kx, where 'k' is a number. It's a simplified version of the standard linear equation, y = mx + b, where 'm' is the slope (rate of change) and 'b' is the y-intercept (the value of 'y' when 'x' is zero). When 'b' is zero, we have the equation y=mx or in your context, y=kx, a direct proportionality.
For instance, if we see the equation y = 6x, it fits the category of y=kx where the 'k' value is 6. Such equations show a direct variation 'y' with 'x', meaning when 'x' increases or decreases, 'y' will also increase or decrease respectively.
Other forms of equations such as quadratic relationships or inverse relationships occur when the variables have a different kind of interaction, such as being squared or inversely proportional to each other.
Learn more about Linear Equations here:https://brainly.com/question/32634451
#SPJ3
ERROR ANALYSIS need answer in a least a hour or so please help,what is the error
Answer:
Step-by-step explanation:
1) Sin² Ф = 1 - cos² Ф
So, 1 - Sin² Ф = 1 - (1 - cos² Ф)
= 1 - 1 + cos² Ф = cos² Ф
2) tan x = Sin x /Cos x
tan x * csc x = Sin x /Cos x * 1/Sin x = Sinx * 1 / cos x * sin x
=1/cos x = Sec x
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y - 4x = 6
y-2x = 7
Answer:
The expression that comes after solving the two linear equation is independent of variables So , The system of equations has no solutions
Step-by-step explanation:
Given two linear equations as :
2 y - 4 x = 6 .......1
y - 2 x = 7
Or, y = 2 x + 7 .......2
Now, Solving these two equations
Put the value of y from eq 2 into eq1
So, 2 y - 4 x = 6
∴ 2 × (2 x + 7) - 4 x = 6
Or, 4 x + 14 - 4 x = 6
or, (4 x - 4 x) = 6 - 14
i.e 0 = - 8
∵ The expression that comes after solving the two linear equation is independent of variables So , The system of equations has no solutions Answer
A local boys club sold 176 bags of mulch and made a total cost of $520.They sold hardwood mulch for $3.50 per bag and pine bark mulch for $2.75 per bag.How bags of each type of mulch did they sell?
Answer:
So here is the answer.
We represent h = hardwood and p = pine bark
Here is the equation: h + p = 176
2.75p + 3.50h = 520
Next, p = 176 -h (substitute)
2.75 (176-h) + 3.5h = 520
484 -2.75h + 3.5h = 520
3.5h-2.75h = 520 -484
0.75h = 36 (divide both by 0.75)
h = 48
Therefore, the number of hardwood sold is 48.
h + p = 176
p = 176-48
p= 128
The number of pine bark sold is 128.
Hope this helps :)
Step-by-step explanation:
The problem revolves around solving a system of linear equations to find out how many bags of hardwood and pine bark mulch were sold by the boys club, given the total number of bags and the total revenue generated from the sales.
Explanation:The student is asking for help with solving a system of linear equations using the information provided about the sale of mulch bags. We'll define two variables: let x represent the number of hardwood mulch bags and y represent the number of pine bark mulch bags sold. To solve for x and y, we need to set up two equations based on the given information:
Equation 1 (based on the number of bags): x + y = 176.Equation 2 (based on total cost): 3.50x + 2.75y = $520.We solve this system of equations, possibly using the substitution or elimination method, to find the values of x and y that satisfy both equations, which will give us the number of bags of each type of mulch sold.
Richard earns $10.50 per hour at his summer job. He worked a total of 275 hours over the summer. If 40% of the money he earned was put in his savings account, how much was put in the savings account?
Multiply his pay rate by number of hours worked:
$10.50 x 275 hours = $2887.50
Now multiply his earnings by 40%:
2887.50 x 0.40 = 1155
He saved $1,155
The fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in miles per hour?
Answer:
0.5 miles per hour
Step-by-step explanation:
A half-gallon carton of organic
milk costs $4.45 now and the price is
increasing by 10 percent each year.
What will be the price of the milk in 5
years?
Answer:
$7.17
Step-by-step explanation:
(1 year) 4.45 x .01= .45 $4.45 + .45=$4.90
(2 year)4.90 x .01= .49 $4.90+.49=$5.39
(3 year)$5.39 x .01=.54 $5.39+.54=$5.93
(4 year) $5.93 x .01=.59 $5.93+.59=$6.52
(5 year) $6.52 x .01=.65 $6.52+.65=$7.17
Answer:
$7.17
Explination: $6.52 x .01=.65 $6.52+.65=$7.17
HELP ASAP QUICK QUESTION : I just need to know, when you work out the length of the missing side do you put cm for the units or not???
Answer: Yes, you put cm for the units of the missing side
Step-by-step explanation:
Hellpp me guys please
Answer:
88 feet
Step-by-step explanation:
perimeter (P)=2πr
P= 2*22/7*14
P=88 feet
Answer:
2. B, 25.12 feet.
3. B, 88 feet.
P=2πr, r = radius or 1/2 diameter, replace [tex]\pi[/tex] with given value for each question and then simplify.
An elevator can hold at most 2500 pounds if 10 adults with an average mass of 80 kg each get on the elevator can elevator carry them
The elevator can carry the adults with average mass of 80 kg.
Step-by-step explanation:
Given
Capacity to weight that can be hold by elevator = 2500 pounds
Average mass of one adult = 80 kg
Average mass of 10 adults = 80*10 = 800kg
We need to have the weights in same unit in order to determine whether the elevator can carry the adults or not.
We will convert the weight of 10 adults into pounds.
1 kg = 2.205 pounds
800 kg = 800*2.205 = 1764 pounds
Therefore,
1764 pounds < 2500 pounds
The elevator can carry the adults with average mass of 80 kg.
Keywords: conversion, multiplication
Learn more about multiplication at:
brainly.com/question/11207748brainly.com/question/11280112#LearnwithBrainly
By converting the average mass from kilograms to pounds and multiplying by the number of adults, the total weight is calculated to be 1763.696 pounds, which is under the elevator's capacity of 2500 pounds, so the elevator can carry them safely.
Explanation:The student is asking whether an elevator would be able to carry 10 adults with an average mass of 80 kg each without exceeding its maximum weight capacity of 2500 pounds. To answer this, we will first convert 80 kg to pounds and then multiply by the number of adults to find the total weight. After that, we can compare the total weight with the maximum capacity of the elevator.
First, let's convert the average mass of one adult from kilograms to pounds. Since 1 kg is equal to approximately 2.20462 pounds, we can calculate like this:
80 kg * 2.20462 lbs/kg = 176.3696 lbs per adult
Now, multiplying this by 10 adults:
176.3696 lbs/adult * 10 adults = 1763.696 lbs for 10 adults
When comparing this total weight of 1763.696 pounds to the elevator's maximum capacity of 2500 pounds, we see that the weight of 10 adults is less than the elevator's capacity.
Therefore, the elevator can safely carry 10 adults with an average mass of 80 kg each.
which rate describes a unit price
$0.35 per minute
$0.75 per 1/2 cup
$1.00 per 3/4 cup
$4.00 per 4 minutes
Answer:
$0.35 per minute
Step-by-step explanation:
Rate in terms of unit price is something made in 1 unit (seconds, cups, minutes etc.)
per minute refers to per 1 minute
Answer:
The answer is A 0.35 per minute
Step-by-step explanation:
Question 2 and 3 in picture
only 90 minutes after a reindeer calf is born it is able to run. How many seconds is that
Answer:
540 seconds
Step-by-step explanation:
1 minute is equal to 60 second
so 90 min is equal to 90 multiplied by 60 which is equal to 540 seconds.
Answer:5400 seconds
Step-by-step explanation:
What will you get if you reduce 14/35 to the lowest term?
Answer: 2/5
Step-by-step explanation:
14:7=2
35:7=5
14/35= 2/5
Answer:
The lowest form of [tex]\frac{14}{35}[/tex] is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
The given rational number is [tex]\frac{14}{35}[/tex].
At first, we will find the HCF of 14 and 35 and then divide the numerator and denominator by the HCF of 14 and 35 to evaluate the lowest form of [tex]\frac{14}{35}[/tex].
The prime factorisation of 14 and 35 is,
14 = 2 × 7
35 = 5 × 7
Since, prime factor '7' is common in the prime factorisation of 14 and 35, so the HCF of 14 and 35 is 7.
[tex]\frac{14}{35}=\frac{\frac{14}{7} }{\frac{35}{7}}=\frac{2}{5}[/tex]
So, the lowest form of [tex]\frac{14}{35}[/tex] is [tex]\frac{2}{5}[/tex].