Answer:
Step-by-step explanation:gdndvdsjfehsk
The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket
Answer:
Step-by-step explanation:
First you determine the variables x and y as:
x: the value for student tickets
y: the value for chaperone tickets.
Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:
x= y +2
On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:
59x + 6y = 508
Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:
[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]
Solving for x, the price of a student ticket:
Rearranging the first equation,
y = x - 2
Replacing in the second equation and solving for x:
59*x + 6*(x -2)=508
59*x + 6*x -12=508
65*x -12=508
65*x= 508 +12
65*x= 520
[tex]x=\frac{520}{65}[/tex]
x=8
The cost of a student ticket is 8$
plz i need help -8 = p -5
4
rtbnjtfbu7yhjujkuf. ,i
The deductions from Jennifer monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross pay, city income tax (CIT) of 1.2% of gross, social security, and Medicare. Her monthly net pay is $3,982.22. Find Jennifer's monthly gross pay
Answer:
$4,225.6
Step-by-step explanation:
Jenifer had the following deductions from her monthly pay
Federal income tax of $87
State income tax of 2.5% of gross pay
City income tax of 1.2% of gross pay
Jennifer monthly pay is $3,982.22
Therefore jenifer monthly gross pay can be calculated as follows
Let x represent the gross pay
x = 3982.22 + 87 + 1.2/100x + 2.5/100x
x = 3982.22 + 87 + 0.012x + 0.025x
x =4069.22 + 0.037x
Collect the like terms
x - 0.037x = 4069.22
0.963x = 4069.22
Divide both sides by the coefficient of x
x = 4069.22/0.963
x = 4,225.6
Hence Jennifer monthly gross pay is $4,225.6
Gcf of 16abc^2, 28abc
Answer:
4abc..............................
hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5
Answer:
Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.
Step-by-step explanation:
Put the words in numbers and symbols first and separate the sentence
Answer:
A C D
Step-by-step explanation:
Trust me on this I got it correct.
If 3 (x + 2) – 2(x + 1) = 8
what is the value of x
Answer:
x=4
Step-by-step explanation:
x+4=8
x+4-4=8-4
x=4
I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors
For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?
Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit
Answer:
Jared transfers $55 to his checking account from his savings account.
Jared spends $55 from his checking account to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Hope this helps!
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?
Answer:
it would take him 19 track practices
Step-by-step explanation:
26miles - 7miles= 19miles
Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)
Answer:
10
Step-by-step explanation:
Given coordinates:
(-1,0) and (5, -8)
Unknown:
Distance between the two endpoints = ?
Solution:
(-1,0) and (5, -8)
The equation for solving this problem is shown below;
Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]
x₁ = -1 y₁ = 0
x₂ = 5 y₂ = -8
Distance = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex] = 10
The distance between the two points is 10.
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
I already know that the answer is 190 but why
Answer:
You know that the total number of persons is 20 , so every person shakes hands with 19 persons.. It then mean that, there are 20×19=380 handshakes. But by every handshake two persons are involved. Therefore, 380 is the result of double-counting, which gives 190 handshakes.Step-by-step explanation:
Hope this helpswhat is the missing angle?
Answer:
the missing angle is 73
To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?
Final Answer: 18 lemons
Explanation:
8 x 3 = 24
In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.
6 x 3 = 18
Therefore, you need 18 lemons. :)
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
simply the following (z⁵)²
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
700 decreased by 62% is?
Answer:
The answer I got was 266
Step-by-step explanation:
700 - 62% = 266
62% = 434
700 - 434 (62%) = 266
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000 until 2016. Which of the following is the most reasonable domain for the function?
Answer:
x_>0,_>3000
Step-by-step explanation:
I saw the answer key :)
The domain of a function is the set of input values the function can take.
The reasonable domain of the function is [0,16]
From the question, we understand that x represents the number of years after 2000 until 2016.
In 2000, the value of x is 0In 2016, the value of x is 16Hence, the reasonable domain of the function is [0,16]
Read more about domain at:
https://brainly.com/question/10197594
Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?
Answer:
Erik's chips are a better buy by 10 cents per ounce
Step-by-step explanation:
Erik's chips cost by ounce: $0.32
Al's chips cost by ounce: $0.42
Sorry if this didn't help. This is my first answer
Hopefully you can read it this time
The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)
9514 1404 393
Answer:
6.302×10^7 kg
Step-by-step explanation:
Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.
The carrier has more mass by the amount of ...
7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg
_____
Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
PLSSSS HELP can someone show me how would this look on a graph f(x)=−3[x+2] I need all the points
Answer:
hope this helps :)
Step-by-step explanation:
please someone help quick
Answer:
J
Step-by-step explanation:
dude trust me
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.
Answer:
22
Step-by-step explanation:
Let us interpret this problem;
---------------34-------------------
P Q S R T
----- 8 --------
-------- --------- --------
x x x
Let PQ = SQ = SR
Find RT;
QS + SR = 8
Also;
x + x = 8
2x = 8
x = 4
To find RT;
RT = PT - (PQ + QR)
RT = 34 - (4 + 8) = 34 - 12 = 22
Answer:
22
Step-by-step explanation:
PLEASE HELP ASAP
Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?
4a
a minus 4
a + 4
StartFraction a Over 4 EndFraction
Answer:
a over 4
Step-by-step explanation:
hope this helps you
Answer:
Last answer I think, it was hard to understand the explained choices but I think it's a/4.
The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?
Answer:
no.
Step-by-step explanation:
3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?
Answer:
The cost price was $48
Step-by-step explanation:
60-20%=48
hope it helps :)
Answer:
50
Step-by-step explanation:
60-x*100=20
6000-100x=20x
6000=20x+100x
6000= 120x
x= 6000/120
x= 50