Answer:
$120/hr
Step-by-step explanation:
if x is hours to move and y is total cost, let's rearrange the equation so that it is easier to understand. I'd say isolate y (total cost) and see what it is equal to:
- 100 = 240x - 2y
2y = 240x + 100
y = 120x + 100
What I see is: Total Cost = 240*(Hours to move) + 100
That tells us that each hour is $120. It also discloses that there appears to be an upfront charge of $100, before any work is done( even at 0 hours). [If the movers come to the apartment, but you've changed your mind, then it still costs $100].
It also tells us that the charge per hour is $120. [If I had a pickup, I'd do it for $100/hour, but my tiny Honda Accord trunk barely holds the spare tire.]
investment after 20 years equals 130000. original investment was 50000. What was the interest rate?
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%
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.
[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
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.
Answer:
y= -2/11x + 28/11[tex]\frac{-2}{11}x + \frac{28}{11}[/tex]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?
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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how can i solve -8/x-11=-2?
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
Help me please i need it
Step-by-step explanation:
what are you looking for
drop ur comment below
The graph shows the number of game consoles sold in millions since 2009.
Game Console
9
(0, 25.5)
25
20
(1, 15.3)
Number of Game Consoles Sold
(millions)
15
10
(2, 9.18)
0
2 3 4 5 6 7
Number of Years Since 2009
Based on this information, which function best models the number of game consoles sold in
millions x years since 2009?
A 9(x) = 0.6(25.5)
09(x) = 25.5(0.6)
c g(x) - 6.12(25.5)
D 9(x) = 25.516 Y
The graph is an illustration of an exponential function
The equation of the graph is: [tex]y = 25.5 * 0.6^x[/tex]
How to determine the equation of the graphFrom the graph, we have the following ordered pairs
(x,y) = (0, 25.5), (1, 15.3) and (2, 9.18)
An exponential function is represented as:
[tex]y = ab^x[/tex]
When x = 0, we have:
[tex]25.5 = ab^0[/tex]
[tex]a = 25.5[/tex]
When x = 1, we have:
[tex]15.3 = ab^1[/tex]
[tex]15.3 = ab[/tex]
Substitute 25.5 for a
[tex]15.3 = 25.5b\\[/tex]
Solve for b
[tex]b = 0.6[/tex]
So, the exponential equation is:
[tex]y = 25.5 * 0.6^x[/tex]
Hence, the exponential equation of the graph is: [tex]y = 25.5 * 0.6^x[/tex]
Read more about exponential functions at:
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g(x) =25.5(0.6)ˣ function best models the number of game consoles sold in millions x years since 2009?
From the given graph we can observe three ordered pairs which are (0, 25.5), (1, 15.3) and (2, 9.18).
We have to find the function which best models the number of game consoles sold in millions x years since 2009.
This we can find by using exponential function.
y=abˣ
When x = 0, we have:
a=25.5
When x=1, then y should be 15.3
15.3=ab
Substitute 25.5 for a
15.3=25.5b
Divide both sides by 25.5:
b=0.6
So the function is g(x)=25.5(0.6)ˣ
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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°
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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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 :
Let a # b = a 2– b 2 . What is the value of (3 # 2) – (4 # 3)?
Answer:
-6
Step-by-step explanation:
[tex](3 \times 2) - (4 \times 3) \\ (6) - (12) \\ 6 - 12 \\ = - 6[/tex]
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)
I need help please if anyone can help that would be great
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.
HELP! Find the value for x.
Answer:
x=6
Step-by-step explanation:
6 +2 is 8
2(6) - 9 = 3
8 times 3 is 24
Mark Brainliest :)
please help me i dont know how to solve
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!
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
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
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.
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.
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.
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Answer:
C
Step-by-step explanation:
One day ill get the hang of it but for now i'm asking for help
Answer:
37.68
Step-by-step explanation:
circumference is diameter, which in this case is 12,times pi which I always simplify to 3. 14
12 times 3. 14 is approximately 37cm so that is why I have given this answer
brainliest?
Option B) is correct.
Here, we are given –
Diameter of circle is = 12 cm [tex]\star{\underline{\boxed{\sf{\pink{Diameter = 2 \times Radius }}}}}[/tex]Let's find it's radius first.
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \dfrac{Diameter }{2} [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \dfrac{12 }{2}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Radius = \cancel{\dfrac{12 }{2}}[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Radius = 6 \: cm[/tex]
We know that–
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Circumference \: of \: circle = 2\pi r}[/tex]
[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi r[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} = 2 \pi \times 6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Circumference_{(Circle)} =2 \times 3.14\times 6[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow Circumference_{(Circle)} = 37.68 \: cm }\\[/tex]
Henceforth, circumference of the given circle will be 37.68 cm.What IS the measure of the indicated angle?
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.
when asked for a measurement of a thing why do we not give a negative value of a number?
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.
Write AB with A(-9, 2) and B (-1,
6) in component form.
The written form of vector AB in component form is; (4,8)
Vectors in component formFrom the given points;
The magnitude of vector AB is given as;AB = √((-1-(-9))² + (6-2)²AB = √80 = 4√5From evaluation, the angle direction of AB is;
Hence, the x and y components of vector AB are;
AB(x) = 4√5 × (1/√5) = 4AB(y) = 4√5 × (2/√5) = 8.Read more on component of vectors;
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Samira babysits for 4.5 hours and earns $22.50. How much does she earn per hour?
P
Answer:
Samira earns $5 dollars per hour.
Step-by-step explanation:
$22.50 divided by 4.5 hours = $5 dollars
4(2x + 3) ÷ 5y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
Answer:
sum: 2x + 3 but you cant add not like terms
Term 2x + 3
Product 8x+12
factor 2,x ;5,y; 4,(2x+3)
quotient 4(2x+3) ÷ 5 = 12 ÷ 5y
coefficient = 2 and 5
Step-by-step explanation:
sum: 2x + 3 but you cant add not like terms
Term 2x + 3
Product 8x+12
factor 2,x ;5,y; 4,(2x+3)
quotient 4(2x+3) ÷ 5 = 12 ÷ 5y
coefficient = 2 and 5
hi please help!! i will mark as brainliest if i can
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
Solve please!!!!!!!!
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
Jill eFind the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
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
The circumference of a circle is 23π inches. What is the radius of this circle?
Answer:
132.25π m²
Step-by-step explanation:
The sum of the digits of an odd 2-digit number is 1.What is the number?
Answer:
-23
Step-by-step explanation:
Negative 2 plus positive 3 equals 1.
-2 + 3 = 1
I hope this helps you out :)
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.
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:
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?
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]
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