Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
3. The Green family is going on vacation. They rent a car that costs $139 for the week plus
plus $0.20 per mile. If the total bill is $168, how many miles did they drive?
PLEASE HELPP!!!
Answer:
168 divided by 0.20 is 840 Equalling the mileage.
Answer:
145 miles
Step-by-step explanation:
168 = .20m + 139
-139 - 139
29 = .2m
/.2 /.2
145 = m
HELP ASAP PLEASE 10 POINTS
how do you find the range for a continuous graph
Answer:
The independent quantity is normally plotted on the horizontal (x) axis - which means that the points in the x coordinate are the domain. Since the dependent quantity is normally plotted on the vertical (y) axis, the y-coordinates make up the range.
i hope this helped
Step-by-step explanation:
5. What is the total cost of 4.3 pounds of flour at $1.10 per pound and 0.5 pounds of baking soda at $0.82 per pound?
Answer:
$4.73 for the flour and $0.41 for the baking soda $5.14 together
Step-by-step explanation:
Answer: .....
Step-by-step explanation:
Triangle ABC has vertices at A(-3, 1), B(2, -4), and C(1, 5). It is translated 2 units right and 3 units down to form triangle A’B’C’. A'B'C' is then reflected over the line y = x to form triangle A''B''C''. What are the vertices of triangle A’'B’'C’'? A. A''(2, 1), B''(7,-4), C''(-2, 3) B. A''(2, -1), B''(7,4), C''(-2, -3) C. A''(-1, -2), B''(4,-7), C''(-3, 2) D. A''(-2, -1), B''(-7,4), C''(2, 3)
The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.
To translate a point (x, y) by (a, b), the new coordinates become
(x + a, y + b).
The coordinates of A' would be:
A' = (-3 + 2, 1 - 3) = (-1, -2)
The coordinates of B' would be:
B' = (2 + 2, -4 - 3) = (4, -7)
The coordinates of C' would be:
C' = (1 + 2, 5 - 3) = (3, 2)
2. Reflection over y = x:
Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.
To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).
The coordinates of A'' would be:
A'' = (-2, -1)
The coordinates of B'' would be:
B'' = (-7, 4)
The coordinates of C'' would be:
C'' = (2, 3)
Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
Learn more about Translation here:
https://brainly.com/question/17052587
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What will be the equation of a line that is
parallel to y=-X+6 and passes through the
point (-3,1)
Answer:
y=x+4
Step-by-step explanation:
Solve with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent. Plug in the coordinates we have into the formula, along with the slope from the original equation (-1). To check, we can plug the coordinates back into the equation.
y-(1)=-1(x+3)
y-1=x+3
y=x+4
Check:
(1)=(-3)+4
1=1
A line passes through the points (-2, 9) and (1, 3).
provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.
Finding slope: y2-y1/x2-x1
3-9/1+2
=-6/2
Divide 2 from both
=-3/1 or -3
Slope= -3
Finding y-intercept= y=mx+b
Choose any point on the line to plug in the x and the y then plug in the slope.
I choose (1,3)
3=-3×1+b
3=-3+b
Add 3 to both sides
6=b
Y-intercept=6
Equation: y=-3x+6
3/9+2/9=?/9
Help a brother out
Answer:
5/9
Step-by-step explanation:
Answer:
okay this is easy its 5/9
Complete the square to write 16t^2-96+48=0 as
Answer:
(T-3)2=6
Step-by-step explanation:
An image of a book shown on a website is 3 inches wide and 4.5 inches tall on a computer monitor. The actual book is 9 inches wide. what is the scale
thank you if you answer im dumb
Answer:
It Depends
Step-by-step explanation:
If the image is the scale, the answer is 1/3, since its width of 3 is 1/3 the width of the actual book.
If the book is the scale, the answer is 3, since its width of 9 is 3 times the width of the image.
Please someone help me solve this!! <33
Answer:
Jedi light saber: 6 ftDarth light saber: 5 ftStep-by-step explanation:
Given
a = 37b = 63c = 16Find
The length of each light saber, rounded up to the nearest foot.
Solution
The attached scale drawing shows the triangles with the angles and sides filled in.
The angle at the Jedi's hand is 2a = 2(37°) = 74°. If L represents the Jedi's light saber length, then the cosine relation is useful:
Cos = Adjacent/Hypotenuse
cos(74°) = (1.4 ft)/L
L = (1.4 ft)/cos(74°) ≈ 5.08 ft
Rounded up to the nearest foot, the Jedi's light saber is 6 ft long.
__
The angle at Darth's hand is ...
5c = 5(16°) = 80°
and the length of the opposite side is ...
b/14 = 63/14 = 4.5 . . . feet
The sine relation is useful here. If L represents Darth's light saber length, then ...
Sin = Opposite/Hypotenuse
sin(80°) = (4.5 ft)/L
L = (4.5 ft)/sin(80°) ≈ 4.57 ft
Rounded up to the nearest foot, Darth's light saber is 5 ft long.
Write the equation of the line that passes through the points (-6,-4) (6,-9) Put your answer in fully reduce points out form unless it is a vertical or horizontal line
Answer:
[tex] 5x + 12y = -78 [/tex]
or
[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - (-4) = \dfrac{-9 - (-4)}{6 - (-6)}(x - (-6)) [/tex]
[tex] y + 4 = \dfrac{-9 + 4}{6 + 6}(x + 6) [/tex]
[tex] y + 4 = \dfrac{-5}{12}(x + 6) [/tex]
[tex] 12y + 48 = -5x - 30 [/tex]
[tex] 5x + 12y = -78 [/tex]
[tex] 12y = -5x - 78 [/tex]
[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]
Answer:
[tex] 5x + 12y = -78 [/tex]
or
[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]
50 POINTS
What is the smallest value of x that makes this inequality true?
2/3(4x-1)-6 is greater than or equal to, 7-(2x+9)
Answer:
it may be helpful for youAnswer:
x = 1 is trueStep-by-step explanation:
2/3(4x - 1) - 6 ≥ 7 - (2x + 9)
remove parenthesis:
2/3*4x - 2/3*1 - 6 ≥ 7 - 2x + 9
simplify:
8x/3 - 2/3 - 6 ≥ 2x - 2
combine similar terms:
8x/3 + 2x ≥ -2 + 2/3 + 6
simplify 14/3x ≥ 14/3
finally x = 1 is true
Find the slope of the line passing through the points (-6, 2) and (-6, -1).
Answer:
3/0
Step-by-step explanation:
to find the slope use rise over run or y-y/x-x, in this case, 2-(-1)/-6-(-6)the negative and the subtraction sign cancel out resulting in something like this: 2+1/-6+6 equaling 3/0
I hope this helps have a nice day
5x+2-2(x-1)=3x+4 (i beggggg helppp mmeeee)
Answer:
Step-by-step explanation:
5x+2-2x+2=3x+4
5x-2x+2+2=3x+4
3x+4=3x+4
equation is satisfied so every value of x will produce the same results on both sides of the equation
What percent of 80 is 8
Answer:
P = 10%
Step-by-step explanation:
Of means multiply and is means equals
P * 80 = 8
Divide each side by 80
P = 8/80
P = .1
Change to percent form
P = 10%
Answer:
Hi sorry
Step-by-step explanation:
sorry bhai plzzzzxxxxxxzzzzzzzzzzzzzzzztry ur best
What is 1.21 rounded to the nearest tenth?
Answer:
1.2
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
find the zeros of the equation 4x²-3x+9=2x+1
Answer:
Step-by-step explanation:
Find the distance between the points 7,-1 and -2,4
Answer:
VVV
Step-by-step explanation:
The difference in x coordinates is 11, and the difference in y coordinates is 9. 11*11 + 9*9=202, so the answer is [tex]\sqrt{202}[/tex].
Hurry Please!
A recipe uses 3 eggs for every 8 cups of fiour What is the ratio of eggs to fiour in the recipe? 8 to 3 3/8 3 to 11 8:3
Answer:
3:8
Step-by-step explanation:
Omg this is hard ! Please don’t fail me guys
Answer:
uhhh your on your own man
Step-by-step explanation:
Answer:
1. 40
2. 50
3. 90
4. 140
i need help on this one too
Answer:
x equals 3
Step-by-step explanation:
hope this helps
please help!!!!! I don't understand
Answer:
d=75° e=28° f=77°
Step-by-step explanation:
The angle of a straight line is 180°
If you subtract the 2 angles you know(which are equal to d and e), you're left with the missing angle measurement of 77°
PLEASE HELP
Complete the table by computing the amount in the account at the end of each period.
Answer:
See below
Step-by-step explanation:
Initial Principal P₀ = 1000End of first period = 1000 + 1000*0.02/4 = 1005End of second period = 1005 + 1000*0.02/4 = 1010End of third period = 1010 + 1000*0.02/4 = 1015End of fourth period = 1015 + 1000*0.02/4 = 1020
For what value(s) of k will the given relation not be a function?
M = { (15k+9, 4), (3·(4k−1), 6) }
Enter all possible values of k
Given:
The relation is
[tex]M = \{ (15k+9, 4), (3\cdot (4k-1), 6) \}[/tex]
To find:
The value of k for which the relation is not a function.
Solution:
A relation is a function if their exist a unique output or y value for each input or x values.
A relation is not a function if it has two y-values for single x value.
So, the given relation is not a function if x-coordinates of both ordered pairs are equal.
[tex]15k+9=3\cdot (4k-1)[/tex]
[tex]15k+9=12k-3[/tex]
Isolate variable terms.
[tex]15k-12k=-9-3[/tex]
[tex]3k=-12[/tex]
Divide both sides by 3.
[tex]k=-4[/tex]
Therefore, the given relation is not a function for k=-4.
need help anyone please
the answer is d
the equation you need to solve is:
5x + x-12 = 90
+12 +12
6x=102
now, divide by 6 and you get x= 17
17-12 = 5
17 x 5 = 85
hope this helps!!
what is April 11 plus 50 more days
Answer:
may 31st
Step-by-step explanation:
A theater owner wants to divide a 3300 seat theater into three sections, with tickets costing $ 60, $70, and $120, depending on the section. He wants to have twice as many $60 tickets as the sum of the other tickets, and he wants to earn $ 224,000 from a full house. Find how many seats he should have in each section.
Answer:
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
Step-by-step explanation:
Three sections
Section A cost = $60
Section B cost = $70
Section C cost = $120
Total seat = 3300
Total earnings = $224,000
He wants to have twice as many $60 tickets as the sum of the other tickets
A = 2(B + C)
A + B + C = 3,300
60A + 70B + 120C = 224,000
substitute A = 2(B + C)
2(B + C) + B + C = 3,300
60(2B + 2C) + 70B + 120C = 224,000
2B + 2C + B + C = 3,300
120B + 120C + 70B + 120C = 224,000
3B + 3C = 3,300 (1)
190B + 240C = 224,000 (2)
Multiply (1) by 80
240B + 240C = 264,000 (3)
190B + 240C = 224,000 (2)
Subtract the equations
240B - 190B = 264,000 - 224,000
50B = 40,000
B = 40,000 / 50
= 800
B = 800
Substitute the value of B into (1)
3B + 3C = 3,300 (1)
3(800) + 3C = 3,300
2,400 + 3C = 3,300
3C = 3,300 - 2,400
3C = 900
C = 900 / 3
= 300
C = 300
Substitute values of B and C into
A + B + C = 3,300
A + 800 + 300 = 3,300
A + 1,100 = 3,300
A = 3,300 - 1,100
= 2,200
A = 2,200
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
GIVING BRAINLIEST! Please help
Answer:
the marked answer is correct
Step-by-step explanation:
The desired end result is an identity matrix in the first three columns. The diagonal values are 1, as needed, so what remains is to eliminate the off-diagonal values. In row 2 that can be done by adding row 3 to it.
The next step should be to add rows 2 and 3 and replace row 2 with that sum.
Simplify the expression
Answer:
[tex]2[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
[tex]\frac{12/2(3)}{3(3)}[/tex]
Step 2: Evaluate
Divide: [tex]\frac{6(3)}{3(3)}[/tex]Multiply: [tex]\frac{18}{3(3)}[/tex]Multiply: [tex]\frac{18}{9}[/tex]Divide: [tex]2[/tex]