7th-grade students decided to start fundraising money by selling raffle tickets. The administration promised to contribute $2 extra for each raffle ticket sold. The 7th graders sold 223 tickets and raised a total of $1,115. Write an equation to represent this situation. Remember to define your variable.
Answers
Answer:
Let x be the price of a raffle ticket
(x+2)*223 = 1115
x=3
Step-by-step explanation:
Let x be the price of a raffle ticket
The amount they get is now x+2 since the admin is donating 2 dollars per ticket
The sold 223 tickets
(x+2) *223 = amount raised
(x+2)*223 = 1115
Divide each side by 223
x+2 = 1115/223
x+2 = 5
Subtract 2 from each side
x+2-2 =5-2
x=3
[tex] \quad \quad \quad \quad \tt{(x + 2) 223 = 1,115}[/tex]
[tex]\quad \quad \quad \quad \tt{ \huge x + 2 = \frac{1,115}{223} }[/tex]
[tex]\quad \quad \quad \quad \huge\tt{ x + 2 = 5 }[/tex]
Covert the 2 like this:[tex]\quad \quad \quad \quad \huge\tt{ x = 5 - 2}[/tex]
[tex]\quad \quad \quad \quad\huge \tt{ x = 3 }[/tex]
Hence, the answer is:[tex]\quad \quad \quad \quad \boxed{ \huge \tt{ \color{green} x = 3 }}[/tex]
_________
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Related Questions
15 POINTS!
Find the sector area and show work.
Will mark brainliest
Answers
Answer:
42.39 yd²
Step-by-step explanation:
the sector area = (3π/4)/2π × 3.14 × 6²
= 3/8 × 3.14 ×36 = 42.39 yd²
If a^2+b^2=5 and a+b=3, then ab=
Answers
Answer:
ab = 2
Step-by-step explanation:
You know that ...
(a +b)^2 = a^2 +2ab +b^2
Rearranging, we can solve for ab ...
2ab = (a^2 +b^2) -(a +b)^2
ab = ((a +b)^2 -(a^2 +b^2))/2 = (3^2 -5)/2
ab = 2
10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer
Answers
Answer:
Step-by-step explanation:
Hope this helps u!!
Choose the best choice for the question
below.
20. Which sentence is written correctly?
A. The book or the pen are in the drawer.
B. She and her friend is going to the mall.
C. Mary and her brother wishes that they could go.
D. My father or my mother is giving us a ride to
school.
Answers
Step-by-step explanation:
a and b may be the correct answer
HELP WILL GOVE BRAINLIEST TO ANYONE WHO HELPS ME
9. A pyramid has a volume of 148 cm3. If a prism has exactly the same base area and the
same height as the pyramid, what is the volume of the prism? Please show work or write an
explanation to back up your answer!
I.
Answers
Answer:
Volume of the prism = 444 cm³
Step-by-step explanation:
Volume of the pyramid is given by the expression,
Volume = [tex]\frac{1}{3}(\text{Area of the base)}(\text{Height})[/tex] = 148 cm³
⇒ (Area of the base)×(Height) = 3×148
= 444
Since, area of the base and height of a prism are the same as pyramid,
Volume of prism = Area of the base × Height
= 444 cm³
Therefore, volume of the prism = 444 cm³
i need the answerr please!!!!!
Answers
Answer:
D 6
Step-by-step explanation:
The range is the values that y can take
The only value that y can take is 6
Answer:d 6
Step-by-step explanation:
The slope of this line is (-12,10) and (-10,6)
Answers
Answer:
Slope is -2
Step-by-step explanation:
(y2-y1) / (x2-x1)
(6-10) / (-10+12) = (-4)/(2) = -2
Explanation: Use the slope formula to find the slope.
m= the change in y/the change in x
m=(6-10/-10-(-12)), plug in for x and y
m=-2
Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.
Answers
Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
Joshua drove his car a distance of 449.6 miles, and it required 12.9 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?
Answers
Answer:
6.75L of fuel are needed
Step-by-step explanation:
To solve this question we need to convert the miles to km and the gallons to liters in order to find the km/L that the car is doing:
km -1km = 0.621371miles-
449.6miles * (1km / 0.621371 miles) = 723.56km
L -1L = 0.264172gal-
12.9gal * (1L / 0.264172gal) = 48.83L
km/L:
723.56km / 48.83L= 14.82km/L
The liters the car takes to go 100km are:
100km * (1L / 14.82km) = 6.75L of fuel are needed
find the ratio in which the point (3,y) divides the line joining the point (9,8) and (-4,-6) hence find the value of y
Answers
Answer:
m1:m2 = 6:7
y = 7 (Approx.)
Step-by-step explanation:
Given:
Dividing point (3, y)
Two points (9 , 8) , (-4 , 6)
Find:
Ratio
Value of y
Computation:
X = [(m1)(x2) + (m2)(x1)] / [m1 + m2]
3 = [(m1)(-4) + (m2)(9)] / [m1 + m2]
3m1 + 3m2 = -4m1 + 9m2
7m1 = 6m2
m1 / m2 = 6 / 7
m1:m2 = 6:7
Y = [(m1)(y2) + (m2)(y1)] / [m1 + m2]
y = [(6)(6) + (7)(8)] / [6 + 7]
y = [36 + 56] / 13
y = 92 / 13
y = 7.07
y = 7 (Approx.)
Helpppp plzzzzz asapppppppppppppppppp
Answers
Answer:
TRUE
Step-by-step explanation:
The Time of day is skip counting by ten each time
EX: 1000-1010-1020-1030-1040- so on
What is the value of
4/3 divided by 2/5 ?
Answers
Explanation:
(4/3)/(2/5) = (10/3)
Multiply by reciprocal
And solve
Answer:
4/3 ÷ 2/5
= 4/3 × 5/2
= 4×5/3×2
= 20/6
= 10/3 = 3 1/3 or 3.3333
Simplify fully: 8(x+3)^2/2(x+3)
Answers
Answer:
4(x+3)
Step-by-step explanation:
8(x+3)^2/2(x+3)
Rewriting
8(x+3)*(x+3)
------------------
2(x+3)
Canceling like terms
4(x+3)
----------
1
Answer :-
4( x+3)
step-by-step explanation :-
8 ( x + 3 )² /2 ( x + 3 )
Rewrite the equation
[tex] \small \sf \: \frac{8 ( x + 3 )² × ( 2 ( x + 3 )}{2(x + 3)} \\ [/tex]
cancelling like terms
4( x + 3) / 1
4 ( x + 3)
Use what you know about tangent lines to circles to solve for x
Answers
Since both lines are tanget meaning the only touch the circle once, both sides will be the same we can set up an equation 33=x^2+8 which is 25=x^2 and square root both sides to get 5 equals x
In the figure shown PS = RQ. which theorem can be used to prove Triangle SQR = Triangle QSP?
I'm not sure which answer it is can you help me?
Answers
Answer:
HL (hypotenuse leg)
Step-by-step explanation:
From the diagram, we have two sides that are congruent
The side QS is common to both triangles
Also, we have it that the side PS and QR are congruent
What this mean is that we have two sides that are already the same
Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles
Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another
Which equation represents a line that passes through (2, -1/2) and has a slope of
3?
Answers
Answer:
it should be d or c
Step-by-step explanation:
Step by step: y= 3x -19/3
Point-slope form- y+1/3 =3•(x-2)
Evaluate the expression for the given value. 3x(x−2), when x=7 please help just give me the straight answer im failing and my mom will kick me ouit she aubuses me hellllp
Answers
3•7(7 - 2)
= 3 • 7 • 5
= 21 • 5
= 105
Hope this helps
[tex]\longrightarrow{\blue{105}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]3x \: (x - 2)[/tex]
Plugging in the value [tex]x\:=\:7[/tex] in the above expression, we have
➺ [tex] \: 3 \times 7 \: (7 - 2)[/tex]
➺ [tex] \: 3\times 7 \: (5)[/tex]
➺ [tex] \: 3 \times 35[/tex]
➺ [tex] \: 105[/tex]
Note:-[tex]\sf\purple{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
The graph of a linear function passes through the
points (2, 11) and (6,21).
Write an equation for the function.
Use the number pad to enter numbers in the boxes.
y me
| x2 +
Answers
Answer:
y = 5/2x + 6
Step-by-step explanation:
Find the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{11-21}{2-6}\\\\m=\frac{-10}{-4}\\\\m=\frac{5}{2}[/tex]
Use point-slope form to find the equation in slope-intercept form:
[tex]y-y_1=m(x-x_1)\\\\y-11=\frac{5}{2} (x-2)\\\\y-11=\frac{5}{2}x-5\\\\y=\frac{5}{2}x+6[/tex]
The equation of the line for the function will be y = 5/2x + 6.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the graph of a linear function passes through points (2, 11) and (6,21).
Slope = ( 21 - 11 ) / ( 6 - 2 )
Slope = 10 / 4
Slope = 5 / 2
The y-intercept will be calculated as:-
y = mx + c
y = ( 5 / 2 )x + c
11 = ( 5 / 2 ) x 2 + c
c = 11 - 5
c = 6
The equation of the line will be:-
y = mx + c
y = (5/2)x + 6
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
[tex]why \: \: do \: we \: need \: food \: \: \: \: {?} [/tex]
Answers
Answer:
to survive
Step-by-step explanation:
if you don't eat you are gonna died➡
PLS HELP ME FIGURE OUT THIS MOVIE
A movie where this girl walks throughout town giving people bad luck or bad energy (not a black cat from marvel) and she doesn’t know until someone makes it clear to her or she figures it out herself then she uses it to get what she wants.
I was thinking it was a marvel movie then I realized no villains are like that except black cat but she in the comics pls help I’m really stressed
Answers
Answer:
Honestly I can only think about Black Cat too.
Step-by-step explanation:
I know its not because I agree she is only in the comics, but I just don't have enough information. Like who is the main charactor.
Twelve is added to 5x and equals - 3. Find the value of x.
Answers
Answer:
x=3
Step-by-step explanation:
5x + 12 = -3
5x = -15
x= 15/5
x=3
Answer:
5x+12=-3
5x=-15
x=-3
hope this helps
have a good day :)
Step-by-step explanation:
Please help the question is in the picture.
Answers
Answer:
true because OR is 90°.and and also PR is 90°.
100 Points
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x.
Answers
Answer
-2c+5/6
hope it helps
NO LINK PLEASE. OR I WILL REPORT YOU.
Answers
Answer:
x = 80
Step-by-step explanation:
Both angles together form 180, therefore x is 80
Answer:
x = 80
Step-by-step explanation:
100 and x form a straight line so they add to 180
x+100 =180
Subtract 100 from each side
x = 180-100
x = 80
What is the overlap of Data Set 1 and Data Set 2?
A: high
B: moderate
C: low
D: none
Answers
Explanation:
Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.
1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a
Answers
plzz help I will mark brainliesttttt
Answers
Answer:
HOPE IT HELPED U .....
Step-by-step explanation:
a). f(5)= 2x +6
= 2 *5+6
= 10+6
=16
(b). g (9)= -12x+4
= -12*9+4
= -108 +4
=-104
(c). f(5)+f(9)= 16+(-104)
=-88
Answer:
Step-by-step explanation:
f(x)=2x+6
f(5)=2*5+6
f(5)=10+6
f(5)=16
g(x)=-12x+4
g(9)=-12*9+4
g(9)=-108+4
g(9)=-104
Pls help there’s the info above
Answers
Answer:
When you're given a line, you can find the rise over the run also known as the slope using a graph, calculating it using the formula, or using a table with two points you've been given from the line. Once you find the slope find the y-intercept which is the point at which the line intercepts with the y-axis of the cartesian plane. I also added some attachments of my own work and an explanation of slope.
Hope I helped have a nice day :)
Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
x = 134
Step-by-step explanation:
Exterior angle = sum of opposite interior angles
= 90 + 44 = 134
OR
Sum of angles of triangle = 180
that is,
90 + 44 +y = 180
y = 180 - 134
y = 46
x + y = 180 [ straight line angles ]
x + 46 = 180
x = 180 - 46 = 134
Answer:
x = 134
Step-by-step explanation:
triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.
a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134
Work out the time taken, in minutes, for a 68km journey at an average speed of 85km/h
Answers
Answer:
48 minutes
Step-by-step explanation: Time taken is distance divided by speed, so 68/85 is 0.8. 0.8 is equal to 4/5. 4/5 of an hour is 48 minutes.