This question was confusing as I don’t know if I put the right answers for the ones I wrote on
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Answer:
(a) C: $36 per hour; B: $38 per hour
(b) C: c = 36(h -1) +52; B: c = 38(h -1) +42
(c) C: $196; B: $194
(d) 270 = 38(h -1) +42; h = 7
(e) Brian charges $270 for working 7 hours
Step-by-step explanation:
Given a table of costs and hours for hiring DJs Celinda and Brian, you want to know their hourly costs, equations for their costs, cost for 5 hours, and hours for a cost of $270.
(a) Hourly costThe cost of an additional hour can be found by subtracting the cost for 1 hour from the cost for 2 hours:
Celinda: $88 -52 = $36 . . . . . cost increase per hour
Brian: $80 -42 = $38 . . . . . . . cost increase per hour
(b) EquationsWe can use the "point-slope form" equation of a line to write the equations for the costs.
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
Rearranging, this is ...
y = m(x -h) +k
Here, the slope is the cost per hour. A suitable point is the first one in the table. The variables 'c' and 'h' are defined for us.
Celinda: c = 36(h -1) +52
Brian: c = 38(h -1) +42
(c) 5 hoursUsing h=5 in each of these equations, we have ...
Celinda: c = 36(5 -1) +52 = 196 . . . . cost for 5 hours
Brian: c = 38(5 -1) +42 = 194 . . . . cost for 5 hours
(d) $270 to Brian
Using the equation for Brian's cost, we simply need to set c=270 to have the equation we need:
270 = 38(h -1) +42 . . . . equation to find hours
The solution to that equation is ...
270 -42 = 38(h -1) . . . . . subtract 42
228/38 = h -1 . . . . . . . . . divide by 38
6 +1 = h = 7 . . . . . . . . . . . add 1. This is the solution.
It would cost $270 to hire Brian for 7 hours.
(e) DescriptionThe solution to the equation for c=270 is h=7. Since h represents the number of hours the DJ is working, this solution tells us Brian will charge $270 for working 7 hours.
__
Additional comment
The two equations can be simplified by eliminating parentheses and combining like terms:
Celinda: c = 36h +16
Brian: c = 38h +4
Parts (d) and (e) work together. The "solution" h=7 doesn't mean anything except in the context of the question it is answering. The question is "how many hours for a charge of $270." The value h=7 means the answer is Brian charges $270 for 7 hours' work.
Related Questions
Triangle ABC is a scale drawing of Triangle XYZ, as shown.
Based on the information shown in these triangles, which of the following is a true statement?
A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.
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B) false
C) true
D) false
How can we use the distributive property to find an expression equivalent to 4(5−3x)
? Place the steps in order.
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Answer:
Multiply 4 by 5 and 4 by 3x
Step-by-step explanation:
4 ( 5 -3x ) =
4 x 5 + (4)(-3x)
Answer:
4(5-3x)
4(5) -4(3x)
20-12x
HELPPPPPPPP
If f(x) = 2x - 5, then f(4) is _____.
17
3
4
5
If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
f(-5) = -40
f(4) = -4
f(-1) = 2
f(0) = 3
f(3) = 0
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Answer:
1st is 3, 2nd i didnt learn this sorry
Step-by-step explanation:
F(4)=2(4)-5
f(4)=8-5
So, f(4) =3
Question number 2 is a bit difficult I’m sorry.
pls help again with these chapes
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he number line shows the solution set of which inequality?
A horizontal number line is labeled from 51 to 52. There is a closed circle at 51.52, and the number line is shaded to the right of 51.52.
A. j/4.6 > 11.2
B. j/1.5 > 16.3
C. j/12.7 > 19.6
D. j/1.4 > 1.1
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80 points ★ plsss answer these worded problems !!
★ / mrs . green has 8.25 cups of flour for her cooking class. Hector uses 3.75 cups of flour to bake cookies . how much flour is left ?
★ / mr . trang bought 15.5 ft of rope to make a swing . after making the swing , 3.375 ft of rope are left . how much rope did mr . trang use in the swing ?
★ / a street sign is attached to a 92.75 in long pole . the pole is buried 24.25 inches below ground . whats the length of the pole above ground ?
★ / kim lip ( haha ) filled a pitcher with 259/12 [fraction] ounces of water . She
spilled 0.25 ounce when she placed the pitcher on the
table . how much water is left in the pitcher ?
★ / travis is swimming 3.25 feet below the surface of the
water . connor is swimming 5.75 feet below the surface
of the water. how far apart are travis and connor ?
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Answer:
1: 4.5 cups of flour
2: 12.125 ft of rope
3: 68.5 inches above ground
4: 21.3333..... ounces of water
5: 2.5 ft below the surface
Step-by-step explanation:
1: 8.25-3.75=4.5
2: 15.5-3.375=12.125
3: 92.75-24.25=68.5
4: (259÷12)-.25=21.33333.....
5: 5.75-3.25=2.5
Help asap!!! Easy math!!! Offering brainiest!!!
Answers
Answer:
64
27
6
15
Step-by-step explanation:
64 is a cube and is even,
27 is a cube and not even,
6 is not a cube and is even,
and finally 15 is a not a cube and is not even,
Four swimmers are training for a relay race. Each day they practice by swimming at least 1,600 yards total. The friends evenly divide the number of yards they swim.
Write and solve an inequality to determine how many yards each friend will swim. Show all your work.
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Step-by-step explanation:
A startup software company’s total investment for the first two years is $24,894. Write and solve an equation to find the investment for the second year if the first year’s investment is $12,955.
Answers
Answer:x=9689
Step-by-step explanation:based on given conitions,formulate:13205+x=22894
Answer:
12,955 + x = 24,894
x = 11,939
What are the coordinates of the image of (1, 3), where R(−3, 5) is the center of dilation with scale factor 0.5?
PLS ANSWER QUICK
Answers
Answer:
the coordinates of the image D are (-1, 4)
Step-by-step explanation:
To find the coordinates of the image D, we need to apply the dilation transformation centered at R(-3, 5). Let the scale factor be k.
The x-coordinate of D will be shifted k times the distance between 1 and -3, which is 4 units, from the x-coordinate of R, which is -3. So we have:
0.5 = -3 + k(4)
Solving for k, we get:
k = 1.375
Similarly, the y-coordinate of D will be shifted k times the distance between 3 and 5, which is 2 units, from the y-coordinate of R, which is 5. So we have
R: (x, y) = (-3, 5)
D: (x, y) = (-3 + 1.375(1 - (-3)), 5 + 1.375(3 - 5))
D: (x, y) = (-1, 4)
Therefore, the coordinates of the image D are (-1, 4), which is option D.
Solve the word problem below
Answers
Answer:
View the image above
Step-by-step explanation:
Distance = 60 miles per hour
Time = ?
Distance = 150
Time = 2/120 × 150 = 2.5
Solve the rest!
Have a nice day!!!
ANSWER? PLSSSSSSSSSSSSSSSSSSS
Answers
Answer: I might be wrong, but I think its just $53.50
What's the median for these set of numbers and do it step by step explanation. 3,2,3,4,3,5,7,5,4
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50 POINTS PLS HELP AND BRAINLIEST
Answers
Could someone please help me
Answers
Answer: Answer:
Step-by-step explanation: Step-by-step explanation:
Drag each expression to show whether it is equivalent to 36x+9
or 9(4x−1)
.
Answers
In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x-1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is
36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
Honors Refresher Quiz #8 1. If a figure is dilated by a scale factor of 12, the area of the figure will change by a factor of
Answers
Answer:144
Step-by-step explanation:
When area is dilated you have to multiply the dialation factor by itself, in this case (12 x 12)
4. Chris and Keith went to a carnival. Chris started with 80 tickets and spent x tickets at the carnival, Keith started with 140 tickets and spent 2x tickets at the carnival. At the end of the night, they had the same number of tickets left over. How many tickets did Chris spend at the carnival?
Answers
Answer: x=20
Step-by-step explanation:
3x+80=140
3x=60
x=20
Answer: Chris spent 60 tickets at the carnival.
Step-by-step explanation:
At the end of the night, both Chris and Keith had the same amount of tickets, so:
80 - x = 140 - 2x
Now, solve the equation. Start by bringing the -2x to the left side.
80 - x + 2x = 140
Bring the 80 to the right side so the variables are isolated.
-x + 2x = 60
Add like terms.
x = 60
Check the work.
Chris had 80, spent 60, so had 20 left. --> 80 - 60 = 20
Keith had 140, spent 120 (60 *2), so also had 20 left. --> 140 - 120 = 20
So, Chris spent 60 tickets at the carnival.
What is the median of the data set represented by the dot plot?
Answers
Answer: 5
Step-by-step explanation:
The median is the middle number of a group of numbers. So, to find the median, first, find out how many numbers there are. You can do this on the dot plot by counting the dots. There are 9 dots.
To find the middle number when the total is odd, you can drop the number down to an even number that will divide in half (or divide the number by two). In this case, you can drop the number to 8 and divide by two. The answer to that is 4. Because there was an odd number of dots, you should use the 4th and then the 5th numbers to determine the middle number. We also count the 5th number because the total was odd. If the total is even, use only one number as the middle number.
Since the 4th and the 5th number are lined up on the 5, that is the median number.
(If you ever have to find two numbers that are not lined up on the same number, you have to add those two numbers and divide by 2 to find the median.)
Solve the word problem below
Answers
The distance is going by 30 and then u divide that by 60
Explanation
150+30=180 distance
180/60=3 hours
U go like this till u get till 4.5 hours
what is the surface area
Answers
Answer:
75 cm^3
Step-by-step explanation:
The small prism is 3x smaller than the large prism (look at lengths given).
Thus, as the surface area of the small prism is 25 cm^3 the larger prism will be 3x as much surface area.
25 x 3 = 75
Therefore, the surface area will be 75 cm^3.
Answer: 225
Step-by-step explanation:
9 x 25 I believe I’m so sorry if it’s wrong but the s2 should be the long side
could ya please help me?
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Answer:the trcks what to do that much because 20 avb=vd 55 is 899
Step-by-step explanation:
What changes would you make to solve any problems you might have in your society?
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Maggie reads 1/3 of a book every 3/4 of a week.
How many books does Maggie read per week?
____
(A) 4/9 of a book
(B) 4 books
(C) 2 1/4 books
(D) 1/4 of a book
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Answer:
i think it may be B
Step-by-step explanation:
K12 sorry if its wrong
Answer:
О (A) 4/9 of a book.
Step-by-step explanation:
(1/3) / (3/4) = (1*4) / (3*3)
= 4/9
...
What number is 40% of 86? Show your work.
21.5
344
34.4
215
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To solve this problem you multiply 86 by 100 and then divide the total by 40 as follows: (86 x 100) / 40
Answer:
What is 40% of 86? Show your work.
= (40*86)/100
= 3440/100 = 34.4
C. 34.4Step-by-step explanation:
You're welcome.
If Mars' core has a mass of 1.54 x 1023 kg and a radius of 1,830 km, as measured by InSight. What is the density of the core?
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Answer:
930 and 1300 miles ( 1500 to 2100 kilometers) in radius
Step-by-step explanation:
Could someone help me fast
Answers
Answer:
A movie is $2.5
A video game is $6
Step-by-step explanation:
Pre-SolvingWe are given that Ann had rented 2 movies and 5 video games for a total of $35.
We also know that she also rented 8 movies and 3 video games for a total of $38.
We want to know how much a movie costs, and how much a video game costs.
If a movie costs x dollars, then a video game costs y dollars.
This means that costwise, 2 movies will cost 2x, and 5 video games will be 5y.
8 movies will cost 8x, and 3 video games will cost 3y.
So, we will have two equations:
2x + 5y = 35
8x + 3y = 38
We now have this system of equations, which we can solve.
Let's solve this by elimination.
To eliminate, we need to clear one of the variables, and solve for the other one.
To do this, we need to make sure that one variable has the same coefficient with opposite signs (e.g. -3x and 3x). We might need to multiply one equation by a number in order to achieve this.
We can multiply 2x + 5y = 35 by -4.
-4(2x + 5y) = -4(35)
-8x - 20y = -140
We can rewrite the equations:
-8x - 20y = -140
8x + 3y = 38
They can be added together. The result will be:
-17y = -102
Divide both sides by 017.
y = 6
We found y, but now we need to find x.
We can substitute 6 as y into 2x + 5y = 35 or 8x + 3y = 38 to find x.
Taking 2x + 5y = 35 for instance:
2x + 5(6) = 35
2x + 30 = 35
Subtract 30 from both sides.
2x = 5
Divide both sides by 2
x = 2.5
Recall that x = price of a movie, and y = price of a video game.
Therefore, a movie is 2.5 dollars, and a video game is 6 dollars.
and a snack is $6
Saturn's moon, Titan, has a radius of 2575 kilometers, which is covered by a 600-kilometer atmosphere. How much of the moon's volume is atmospheric haze?
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Answer:
approximately 4.57 × 10^10 km^3 of Titan's moon is atmospheric haze.
Step-by-step explanation:
The answer is about [tex]4.57[/tex] × [tex]10^1^0[/tex] [tex]km^3[/tex] of the titan moons atmospheric haze.
Step-by-step explanation:
I did the test and got it right
hope this helps :)
Can you help meeee pleasE?????
Answers
Answer: supplier a: 30x + 70 y = 4170
Supplier b :25 x + 85y= 4675
Step-by-step explanation:
x = the number of inkjet printers at the company
Y= the number of laser printers
Part b:25x 85y
Mrs. Irons places the names of each of her four children in a hat at one time. She randomly draws a name, places it back in the hat, and draws again. The results are shown in the table below.
What is the experimental probability of selecting the name Alex?
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Answer:
As a Fraction : 4/10
As a Decimal : 0.4