x = price of a senior ticket
y = price of a student ticket
First day: x + 14y = $225
Second day: 7x + y = $120
Let's solve this system of equations by substitution
Subtract 14y from both sides on our first equation
First day: x = $225 - 14y
Substitute this value into our second equation for x
7($225 - 14y) + y = $120
Distribute the 7
$1575 - 98y + y = $120
Combine like terms
$1575 - 97y = $120
Subtract $1575 from both sides
-97y = -1455
Divide both sides by -97
y = $15
Plug this value into our first equation
x + 14(15) = $225
Simplify
x + $210 = $225
Subtract $210 from both sides
x = $15
The senior and student tickets cost $15
y = -X² -2x +3
What does y equal to?
Answer:
y= -1(x-1)(x+3)
Step-by-step explanation:
The way you can solve this is by factoring and using quadratics
First, you factor out the -1 in the x term
Then, you rewrite the equation into
y= -1(x^2+2x-3)
After that you factor as normal into y= -1(x-1)(x+3)
A 2-gallon bucket of paint costs $101.20. What is the price per quart?
Answer:
$25.30
I might be wrong also
Answer my question about this one please
6(a + 2b +3c) = Apply the distributive property to create an equivalent expression.
Answer:
6(a + 2b +3c) =
6a +12b+18c
Answer:
6(a +2b + 3c ) = 6a+ 12b +18 cNine times a number decreased by 16
Answer:
9 · x - 16
Explanation:
Nine times a number: 9 · x
Decreased by 16: - 16
Put them together: 9 · x - 16
Evaluate the expression : 3m + 2n3m+2n for : m = 12m=12 and : n = 5
area model of 2(4+7)
Answer:
22
Step-by-step explanation:
2×4=8
2×7=14
14+8=22
Simplify the expression to get 22.
Use PEMDAS.
4+7=11
=2x11
there are 614,952 pepole living in a city round this number ot the nearest thousand
Answer:
615,000
Step-by-step explanation:
When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:
Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.
If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.
Answer:
615,000
Step-by-step explanation:
614,952
Locate the thousands place:
614,952
Check next door:
614,952
If the number is greater than or equal to 5, then we round up. If it is less than or equal to 4, we round down.
9 is greater than 5. We would round up.
614,952 ≈ 615,000
Hope this helps.
What are the two solutions of 2x2 = -x2 – 5x – 1?
A: the y-coordinates of the intersection points of the graphs of y=2x^2 and y= -x^2-5x-1
B: the x-coordinates of the x-intercepts of the graphs of y=2x^2 and y= -x^2-5x-1
C: the x-coordinates of the intersection points of the graphs of y=2x^2 and y= -x^2-5x-1
D: the y-coordinates if the y-intercepts of the graphs of y=2x^2 and y= -x^2-5x-1
Answer:
the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1
Step-by-step explanation:
Answer: its C on edg
Step-by-step explanation:
C C C C C C C C C
should juveniles be punished less harshly than adults? Use "leniently" in your answer
6v + 38 = -4 or 2(v + 3) = -2
How do I solve this?
The value of v will be equal to -7.
An expression is given i.e., 6v + 38 = - 4
We have to find out the value of v by solving the expression.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
The given expression is ; 6v + 38 = -4
So ; the value of v after solving the expression will be ;
6v + 38 = - 4
6v = -4 - 38
6v = -42
v = -42/6
v = -7
Thus , the value of v will be equal to -7.
To learn more about algebra click here ;
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An arithmetic sequence is represented by the function f(n) = 8 + 3(n-1). What is the 4th term of the sequence?
Answer:
f(4) = 17
Step-by-step explanation:
f(n) = 8+3(n-1)
f(4) = 8+3(4-1)
f(4) = 8+3(3)
f(4) = 8+9
f(4) = 17
A diagram of a pizza is shown.
15 cm (From center of pizza to crust)
What is the approximate circumference of the pizza? Use 3. 14 as an estimate for Pi
A. 30 cm
B. 47.1 cm
C 94.2 cm
D. 120 cm
Answer:
A. 30 cm
Step-by-step explanation:
The surface area of a 14-inch pizza is 3.14 x 49 (7 x 7 = 49) = 153.86 square inches of surface area
Answer:
30cm
Step-by-step explanation:
Which of the following describes the image of a square after a dilation that has a scale factor of 2?
Answer:
Which of the following describes the image of a square after a dilation that has a scale factor of 2? Its sides are 1/2 as long as those of the original square. Its sides are 2 times as long as those of the original square.
Step-by-step explanation:
What is an example of a quadratic pattern ?
A sequence of numbers has a quadratic pattern when its sequence of second differences is constant. Here is an example. Terms: 12. 22. 32. 42. 52. 62. 72 .
0.41 as a fraction answer correctly
Answer: 41/100
Step-by-step explanation: hope this helps
Answer:
41/100
Step-by-step explanation:
All you need to do to turn a decimal into a fraction is move the decimal over however many times to get through the number and put it over "1 (+ a zero for every point you move over)"
For example if that didn't make sense:
0.645 -> 645/1000
0.4 -> 4/10
0.66 -> 66/100
Hope this helped!
Use the drop-down menus to identify each number as prime or composite.
27 is
19 is
49 is
38 is
81 is
Answer:
composite
prime
composite
composite
composite
Step-by-step explanation:
prime numbers only have two factors
composite numbers have three or more
NEED HELP WITH THIS?
can see picture but i tried sorry
Is 7.336 a rational number
Answer:
Yes.
Step-by-step explanation:
Since decimals, fractions, and whole numbers are rational, this means that 7.336 is rational.
Factorise
X2 + 3√3x + 6. Please help me with this it’s urgent
Answer:
[tex](x+2\sqrt{3} )(x+\sqrt{3} )[/tex]
Step-by-step explanation:
[tex]x^2 + 3\sqrt{3}x + 6\\=> x^2 + \sqrt{3}x + 2\sqrt{3}x +6\\=> x( x+\sqrt{3}) + 2\sqrt{3}(x+\sqrt{3} )\\ => (x+2\sqrt{3} )(x+\sqrt{3} )[/tex]
Use the information to answer the question.
A store is having a sale on hats. The sale is buy one hat get one 50% off. The original price of one hat is $24.98. Alex bought several hats, and the
total cost was $187.35.
Answer:
10 hatsStep-by-step explanation:
Original price
$24.98Sale price
$24.98*1.5 = $37.47 for two hatsTotal cost
$187.35Hats sold:
187.35/37.47 *2 = 10 hatsPLEASE I NEED HELP AND EXPLAIN PLZ
Answer:
Statement:
1. C
2. A
3. B
Reason:
1. F
2. E
3. H
Step-by-step explanation:
C is very clearly the given so it goes first and B is what you're trying to prove so that goes last
Hope this helped <3
Please fill these out for me, it would mean the world to me!
Answer:
1. they can all be played by a person
2.any game played on a board, especially one that involves the movement of pieces on the board, such as chess or checkers.
3.A card game is any game using playing cards as the primary device with which the game is played
4. a game played primarily with a mulitiple sided cube
5. Paper and pencil games or paper and pen games are games that can be played with paper and pencils, usually without erasing. you also have to use a lot of creativity
6. Miniatures games are a form of tabletop game which features the use of miniature models or figures
7. a game in which players take on the roles of imaginary characters who engage in adventures
8.Unlike tabletop games, tabletop sports require physical dexterity. Included are games like table football, table tennis, and air hockey games. They are usually played indoors.
What is another way to name line ?
Answer:
Step-by-step explanation:
dash
Answer:
Since line is a one-dimensional figure, it is aka as 'straight line'.
If you are drawing a line vertically, it is aka as 'vertical line'.
If you are drawing a line horizontally, it is aka as 'horizontal line'.
WILL GIVE BRAINLIEST PLEASE ANSWER
Answer:
1/5
Step-by-step explanation:
.09 is lower than 1/8 aka 0.125
the square root of 0.02 is also too low
1.6 is great than 18%
Hi There!!
I think your answer is [tex]\frac{1}{5}[/tex]
[tex]Hope\ This[/tex] [tex]Helps\be[/tex]
[tex]\sqrt{Loserbrazts}[/tex]
50 POINTS PLEASE HELP AND EXPLAIN YOUR ANSWER
What information is missing to show that ▲WZX ≃ ▲YZX by HL?
Answer:
your option is correct
Step-by-step explanation:
To be two triangles congruent we have the following
Side-Side-SideSide-Angle-SideAngle-Side-Angleoption 2, and 3 give angles, but to work they have to be between the two sides, so those options can't be
so the only one is option 1
option 4 is when the triangles can't be congruent
Answer:
a
Step-by-step explanation:
the points on the number line show how many pennies for children have how many more money does the child with the most pennies have than a child with a fewest pennies
Answer:
link the number line
Step-by-step explanation:
Logs are stored in apile of 20 rows,with each row having one fewer log than the one below it. If there is 48 logs on the bottom row how many logs are in the pile?
Answer:
754 logs
Step-by-step explanation:
If you are starting at 48 logs on the bottom row subtracting one log for each row you go up, then you should have 28 logs in the top row.
This is because 48-20=28
now you need to find the factorial of 48 starting at 28.
Factorial is like 1+2+3+4+5=15. So it is basically just adding every single whole number that are in between 2 whole numbers.
So for this equation you would need to do: 28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48= 754.
:) Hope that helped!
Answer:
770
Step-by-step explanation:
1st raw =a = 48
2nd raw = 47
.
.
d= -1 , n = 20
Summation S= n/2 [2a+(n-1)d]
= 20/2 [ 2×48 + (20-1)×-1]
= 770
Which number line shows the solution to the inequality -2(3x-1)<8
Answer:
[tex]x > -1[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 1) < 8[/tex]
Required
Show on a number line
[tex]-2(3x - 1) < 8[/tex]
Divide through by -2
[tex]\frac{-2(3x - 1)}{-2} < \frac{8}{-2}[/tex]
[tex]3x - 1 > -4[/tex]
Add 1 to both sides
[tex]3x -1 + 1 > -4 + 1[/tex]
[tex]3x > -3[/tex]
Divide through by 3
[tex]x > -1[/tex]
See Attachment for number line
Answer:
x> 3
Step-by-step explanation:
A baker is stocking up on ingredients for the next day. She needs to bake between 32 and 48 loaves of bread. Each loaf requires 3.5 cups of flour plus an additional 0.25 cup for dusting. Complete the statement to describe the amount of flour the baker should buy to have enough flour to meet her needs without any left over.
Answer: The baker should buy a minimum of 120 cups of flour and a maximum of 180 cups.
Step-by-step explanation:
The baker should buy between 120 cups of flour to 180 cups of flour to meet her needs.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the number of bread made from x cups of flour.
Each loaf requires 3.5 cups of flour plus an additional 0.25 cup for dusting. Hence:
y = (3.5 + 0.25)x = 3.75x
For 32 loaves:
x = 32 * 3.75 = 120
For 48 loaves:
x = 48 * 3.75 = 180
The baker should buy between 120 cups of flour to 180 cups of flour to meet her needs.
Find out more on linear equation at: https://brainly.com/question/14323743