Answers
Answer:associative property of addition
Step-by-step explanation:The associative property of addition says that changing the grouping of the addends does not change the sum.
Related Questions
Let a # b = a 2– b 2 . What is the value of (3 # 2) – (4 # 3)?
Answers
Answer:
-6
Step-by-step explanation:
[tex](3 \times 2) - (4 \times 3) \\ (6) - (12) \\ 6 - 12 \\ = - 6[/tex]
A worker earned a 3% increase in her annual salary for each of 5 years. They plan to continue working in their position for an additional n years. If they continue to earn a 3% increase in their annual salary, which statement describes the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year?
Answers
Using an exponential function, it is found that the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year is given by:
[tex]P = 100\% \times [(1 .03)^t - 1][/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.As a percentage, the increase is modeled by:
[tex]P = 100\% \times [(1 + r)^t - 1][/tex]
In this problem, the growth rate is of r = 0.03, hence:
[tex]P = 100\% \times [(1 + 0.03)^t - 1][/tex]
[tex]P = 100\% \times [(1 .03)^t - 1][/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
The equation shows the relationship between x and y:
y = -7x + 9
What is the slope of the equation? (4 points)
O-7
O-2
07
9
Answers
Answer: -7
Step-by-step explanation:
The equation is in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept
Therefore, the m value is -7 and it is the slope
I need help please help
Answers
Answer:
Show similarity between triangle WXZ and triangle VXY then write XY/XZ=VY/WZ
The reason is: The ratio of corresponding sides of similar triangle are equal.
Write the equation of the line that passes through the points (3, 2) and
(-8,4). Put your answer in fully simplified point-slope form, unless it
is a vertical or horizontal line.
Answers
Answer:
y= -2/11x + 28/11[tex]\frac{-2}{11}x + \frac{28}{11}[/tex]Solve please!!!!!!!!
Answers
Answer:
x=14
Step-by-step explanation:
This shape is a pentagon, as it has 5 sides. The formula to find the sum of the interior angles of a polygon is:
(n-2)*180
In this case n represents the number of sides. We can plug 5 into the equation to get...
(5-2)*180=3*180=540
Since all sides are equal, all angles are equal too therefore one angle is equivalent to...
540/5=108
This means...
9x-18=108
Add 18 to both sides
9x-18+18=108+18
9x=126
Divide both sides by 9
x=14
Answer:
x = 14
Step-by-step explanation:
This is a pentagon and there are five sides in a pentagon. All of the sides degrees added together makes 540.
Since the angles are the same and the average angle of every pentagon is 108, then 9x - 18 = 108.
108 + 18 = 126
9x = 126
9x/9 = 126/9
x = 14
hi please help!! i will mark as brainliest if i can
Answers
Answer:
3.1x + 2.2x - 2.4y - 1.4y + 1.9 - 3.4
Step-by-step explanation:
3.1 x - 2.4 y + 1.9 + 2.2x - 1.4y - 3.4
→ Collect all the like terms
3.1x + 2.2x - 2.4y - 1.4y + 1.9 - 3.4
when asked for a measurement of a thing why do we not give a negative value of a number?
Answers
Answer:
See below.
Step-by-step explanation:
A measurement could be a distance or a length, or a weight, or a volume. All those quantities are expressed as positive numbers.
For example, what is the distance from New York to Los Angeles?
Answer: 2,800 miles
What is the length of a book?
Answer: 8 inches
How much does John weigh?
Answer: 150 lb
All those numbers are positive.
There is one measurement that is often a negative number. That is a temperature.
What is the correct first step to solve this system of equations by elimination?
(2x−3y=−6) (x+3y=12)
What is the solution? Write the ordered pair using integers or fractions.
Answers
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given }}[/tex]
We have given two linear equations that is 2x - 3y = -6 and x + 3y = 12 .[tex]\bold{\underline{ To \: Find }}[/tex]
We have to find the value of x and y by elimination method.[tex]\bold{\underline{ Let's \: Begin }}[/tex]
[tex]\sf{ 2x - 3y = -6 ...eq(1)}[/tex]
[tex]\sf{ x + 3y = 12 ...eq(2)}[/tex]
Multiply eq( 2 ) by 2 :-
[tex]\sf{ 2( x + 3y = 12 )}[/tex]
[tex]\sf{ 2x + 6y = 24 }[/tex]
Subtract eq(1) from eq(2) :-
[tex]\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}[/tex]
[tex]\sf{ 2x + 6y - 2x + 3y = 24 + 6 }[/tex]
[tex]\sf{ 9y = 30 }[/tex]
[tex]\sf{ y = 30/9}[/tex]
[tex]\sf{\red{ y = 10/3}}[/tex]
Now, Subsitute the value of y in eq( 1 ):-
[tex]\sf{ 2x - 3(10/3) = -6 }[/tex]
[tex]\sf{ 2x - 10 = -6 }[/tex]
[tex]\sf{ 2x = -6 + 10}[/tex]
[tex]\sf{ x = 4/2}[/tex]
[tex]\sf{\red{ x = 2}}[/tex]
Hence, The value of x and y is 2 and 10/3
The sum of the digits of an odd 2-digit number is 1.What is the number?
Answers
Answer:
-23
Step-by-step explanation:
Negative 2 plus positive 3 equals 1.
-2 + 3 = 1
I hope this helps you out :)
Rita makes and sells necklaces. The materials to make each necklace cost $2. 75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x 2. 75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make? Although she has the correct equation, she needs to sell each necklace for $12. 50. Although she has the correct solution, she should have used the equation 8 (x minus 2. 75) = 78. The equation should be 8 (x minus 2. 75) = 78, and she needs to sell each necklace for $12. 50. The equation should be StartFraction 1 over 8 EndFraction (x minus 2. 75) = 78, and she needs to sell each necklace for $75. 25.
Answers
Profit function gives the profit earned for given input. Thus, Rita has correct solution, that is, she needs to make 7 necklace to get $78 profit.
How to find the value of unknown variable in a linear equation?It might not be always possible. But for simple cases, we can try using addition or subtraction or such operations in linear equations if there is single variable with single equation.
For the given case, the profit $78 for x necklace manufactured is
[tex]8(x + 2.75) = 78[/tex]
(remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times (x + 3) = 2(x + 3)[/tex])
Solving this equation, we get:
[tex]8(x + 2.75) = 78\\\\\text{Dividing by 8 on both the sides}\\\\(x + 2.75) = \dfrac{78}{8} = 9.75\\\\\text{Subtracting 2.75 from both the sides}\\\\x = 9.75 - 2.75 = 7[/tex]
Rita has correct solution, that is, she needs to make 7 necklace to get $78 profit.
Learn more about solving linear equations here:
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Answer:
C
Step-by-step explanation:
multiplying polynomials (x-4)^2
Answers
[tex] \sf \dashrightarrow(x - 4) {}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow {x}^{2} + {4}^{2} + 2 \times 4 \times x[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow {x}^{2} + 16 + 8x[/tex]
Use (x-4)(x-4) and use distributive property
investment after 20 years equals 130000. original investment was 50000. What was the interest rate?
Answers
Step-by-step explanation:
The formula states that
S. I=P*R*T/100
R=S. I*100/P*T
Simple Interest= Amount - principal
Simple Interest = 130000 - 50000
Simple Interest = 80000
R= 80000*100/50000*20
R= 800000/100000
R=8%
Help me please i need it
Answers
Step-by-step explanation:
what are you looking for
drop ur comment below
Rudy and Teresa are members of the Austin Rockets Bike Club.
On Saturday, Teresa led a 26.6 mile ride, and Rudy served as the
"sweep." (A sweep is a rider who rides behind the slowest riders and
is responsible for ensuring that there is help for any
rider who has
bike or physical trouble during the ride.) Teresa's group, which had
18 riders in it, finished the ride with an average of about 16 miles
per
hour. Rudy finished with the three slowest riders, and they
averaged about 12.5 miles
per hour. Both groups started the ride at
9:30 a.m. At what time did each of the groups finish? Give times in
hours:minutes:seconds. Example: 9:42:18 a.m.
Answers
The time that Rudy finished the race was 11:10: 10 am.
The time that Teresa's group finished the race was 10:50:08 am.
What time did the groups finish the race?The formula that can be used to determine the time is Time = distance / average speed
Teresa's group = 26.6 / 16 = 1.6625 = 1 hour 40 minutes 10 seconds = 11:10: 10 am
Rudy's group = 16.6 / 12.5 = 1.328 = 1 hour 20 minutes 8 seconds = 10:50:08 am
To learn more about average speed, please check: https://brainly.com/question/21734785
please help me i dont know how to solve
Answers
Answer:
31.7079632679 round it up and you get 32
Step-by-step explanation:
pi times 25 +16 because 8 times 2 is the area of the base
so basically the equation is
pi x 25 + 16=
pi x 25 is about 15.7079632679 if my calculations are correct
and then 15.7079632679 + 25 and we get 31.7079632679
Answer:
A=264 pi
? Is 264
Hope this helps!
Find the measure of:
mIG
I need help!
Answers
Answer:
100
Step-by-step explanation:
45 degrees from I to H +55 degrees from H to G
What is 9/2 as a percentage cause i dont understand help
Answers
Answer:
450%
Step-by-step explanation:
Divide 9/2 to get 4.5, then multiply this by 100 to get 450%
Good Luck!
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Below is the previous 3-day work schedule for co-workers: Kate, Kevin, and Greg, who work at a gold
mine. Unfortunately, someone must be fired.
Monday
Tuesday
Wednesday
Kate
8am-2pm
9am-2pm
10am-2pm
Kevin
9am-4pm
8am-1pm
8am-4pm
Greg
8am-12pm
12pm-6pm
9am-3pm
If there were 51 gold nuggets found on Monday, 55 nuggets found on Tuesday, and 54 nuggets found on
Wednesday,
1.) How many nuggets per hour does each worker find? (These three numbers is the next code)
2.) Who should be fired?
Answers
The three workers working in different shifts, and the number of gold
nuggets found in three days give a system of three equations.
Response:
1) Kate finds 4 nuggets per hour, Kevin finds 1 nugget per hour and Greg finds 5 nuggets per hour.
2) Kevin
Which method can be used to solve for the number of nuggets each worker finds per hour?Let a, b, and c represent the number of nuggets per hour that Kate, Kevin, and Greg finds, we have;
Kate, Kevin, and Greg works for 6, 7, and 4 hours respectively on Monday
On Tuesday, we have; 5, 5, and 6 hours respectively
On Wednesday, we have; 4, 8, and 6 hours respectively
Which gives the following system of simultaneous equations;
6·a + 7·b + 4·c = 51...(1)
5·a + 5·b + 6·c = 55...(2)
4·a + 8·b + 6·c = 54...(3)
Subtracting equation (2) from (3) gives;
4·a - 5·a + 8·b - 5·b + 6·c - 6·c = 54 - 55 = -1
3·b - a = -1
a = 3·b + 1
Which gives;
6·(3·b + 1) + 7·b + 4·c = 25·b + 4·c + 6 = 51
25·b + 4·c + 6 = 51
[tex]c = \dfrac{51 - 6 - 25\cdot b}{4} = \mathbf{ \dfrac{45 - 25\cdot b}{4}}[/tex]5·(3·b + 1) + 5·b + 6·c = 20·b + 6·c + 5 = 55
20·b + 6·c + 5 = 55
Similarly;
[tex]c = \dfrac{55-5 - 20\cdot b}{6} = \mathbf{\dfrac{50 -20\cdot b}{6}}[/tex]Which gives;
[tex]c = \dfrac{45-25\cdot b}{4} = \dfrac{50- 20\cdot b}{6}[/tex]4 × (50 - 20·b) = 6 × (45 - 25·b)
200 - 80·b = 270 - 150·b
150·b - 80·b = 270 - 200 = 70
70·b = 70
b = 1a = 3·b + 1
a = 3 × 1 + 1 = 4
a = 4[tex]c = \dfrac{45-25\times 1}{4} = \mathbf{ 5}[/tex]
c = 5Number of gold nuggets Kate finds per hour, a = 4Number of gold nuggets Kevin finds per hour, b = 1Number of gold nuggets Greg finds per hour, c = 52.) The person that can be fired is the one that finds the least number of gold nuggets per hour, which is Kevin
Learn more about simultaneous equations here:
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What IS the measure of the indicated angle?
Answers
Answer:
Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.
Class criteria are a set of articulations of significant value or behavior that contribute to dynamic and impartial support in the research hall. You set assumptions for everyone, adults, and understudy around the classroom. Class criteria are expressed in an exciting atmosphere, constant in all situations, and very few. Class standards support undergraduate students and provide them with the opportunity to take responsibility for their surroundings and pursue the prosocial benefits of commitment, respect, sanity, attention and support. They support equitable interaction, a commitment to arithmetic, and the creation of a positive class of climate. At the beginning of the school year, we will establish the standards for study rooms and develop them consistently.
1. Norms- what, why and when?
2. How do we set them?
3. How do we reinforce them?
4. Do you agree with the sample norms given in the article?
5. Take a position and defend your position in reference to the norms suggested in the article.
Answers
Answer: Class room dynamics includes student behavior, emotions and imagination. It also includes teacher's ways of presenting academic materials and student interactions. It helps in creating a positive class room culture. Effective teaching and learning cannot take place in a poorly managed classroom.
Step-by-step explanation:
Jill eFind the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
Answers
Answer:
6
Step-by-step explanation:
substitute the given values into the expression
4[tex]a^{4}[/tex] - 2b² + 40
= 4[tex](2)^{4}[/tex] - 2(7)² + 40
= 4(16) - 2(49) + 40
= 64 - 98 + 40
= - 34 + 40
= 6
Samira babysits for 4.5 hours and earns $22.50. How much does she earn per hour?
P
Answers
Answer:
Samira earns $5 dollars per hour.
Step-by-step explanation:
$22.50 divided by 4.5 hours = $5 dollars
Item 4 Use a protractor to draw a pentagon so that the top side is horizontal and the left and right sides are perpendicular to the top side. The angles formed at the bottom of the left and right sides each measure 140°. What is the measure of the fifth angle? 72° 80° 88° 92°
Answers
Answer:
80
Step-by-step explanation:
I took the test
The measure of the fifth angle will be 80°. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as,
Sum of angles = (n - 2) × 180°
The sum of the interior angle of the pentagon is given as,
Sum of angles = (5 - 2) × 180°
Sum of angles = 3 × 180°
Sum of angles = 540°
And the diagram is given below. The equation is given as,
x + 90° + 90° + 140° + 140° = 540°
x + 460° = 540°
x = 540° - 460°
x = 80°
The measure of the fifth angle will be 80°. Then the correct option is B.
More about the polygon link is given below.
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#SPJ6
how can i solve -8/x-11=-2?
Answers
Answer:
See below
Step-by-step explanation:
-8/x - 11 = -2
First add 11 to both sides
-8/x - 11 + 11 = -2 + 11 simplifies to -8/x = 9
Now multiply both side by x
( -8/x) X ( x ) = ( 9 ) X ( x ) which simplifies to -8 = 9x
Divide each side by 9
-8/9 = (9x)/9 which simplifies to -8/9 = x or x = - 8/9
Find ST. Round to the nearest tenth.
Show your equation set up and answer clearly.
Answers
Answer:
90.7
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(S) = RT/ST
ST = RT/sin(S) = 63/sin(44°) ≈ 90.7
The length of ST is about 90.7 units.
I need help please if anyone can help that would be great
Answers
Answer:
f = 2.75p
Step-by-step explanation:
You can see that the amount of flour for 6 cakes is double the amount for 3 cakes, so the amount of flour is proportional to the number of cakes. An equation for a proportional relationship will have the form ...
f = kp
We can find the value of k from any column in the table.
8.25 = k(3) . . . . using the values in the first column
8.25/3 = k = 2.75 . . . . . divide by 3
The equation is ...
f = 2.75p
_____
Additional comment
If the input doubles, but the output does not, then the relationship is not proportional. We ordinarily expect recipes to have proportional relationships.
the cost of a meal is split evenly between between alania and her two friends.they determine that each person owes $ 14.68. how much was the entire meal?
write the equation:
and solution :
Answers
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y = 3x + 2 is
Choose...less than, greater than, or equal to
the y-intercept of the function represented in the graph.
points passing (0,2) (2,6)
Answers
The circumference of a circle is 23π inches. What is the radius of this circle?
Answers
Answer:
132.25π m²
Step-by-step explanation: