We want to define and solve a linear equation to model the given case.
The answers are:
a) x = number of tickets, y = total cost.
b) y = $1.35*x + $6.35
We know that:
The tickets for each ride were $1.35 per ticket.
Paul purchased 30 tickets
He spent a total of $46.85 (on tickets and admission)
The cost for the 30 tickets is:
30*$1.35 = $40.50
a) Now we can define two variables:
y = total cost
x = number of tickets
b) the linear equation would be:
y = $1.35*x + P
Where P is the price of admission.
And we know that the total cost for 30 tickets is $46.85, then we have:
$46.85 = $40.50 + P
$46.85 - $40.50 = P = $6.35
So the admission price is $6.35
This means that the linear equation is:
y = $1.35*x + $6.35
c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).
If you want to learn more, you can read:
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help please??? really don't understand this:)
Answer:
9.4
Step-by-step explanation:
Each pay 7.05.
7.05 times 4 equals 28.20, so it is 28.20 for 3 tickets, they all pitched in.
Each ticket costs 9.4
Please mark brainliest
Answer:
Each ticket costs $9.4
Step-by-step explanation:
Since they're using the Cinema tickets offer, all four friends are paying actually paying for a total of 3 tickets. They get 1 ticket for free.
7.05 x 4 = 28.2 (Amount paid from all 4 friends)
Now divide 28.2 by the # of tickets they're paying for.
28.2/3 = 9.4 (Cost of each ticket)
Hope this helps! Please mark me as brainliest! :D
a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answer:
Please I don't understand the question or maybe I'm too young for the question I'm so sorry
solve for y -3.3+y/4=9.7
Answer: y= 5 /52 = 10 2/5 = 10.4
Step-by-step explanation:
-3.3+y/4=-9.7
We move all terms to the left:
-3.3+y/4-(-9.7)=0
We add all the numbers together, and all the variables
y/4+6.4=0
We multiply all the terms by the denominator
y+(6.4)*4=0
We add all the numbers together, and all the variables
y+25.6=0
We move all terms containing y to the left, all other terms to the right
y=-25.6
12. Carter has 3 statues of various sizes in his garden. Statue A is one foot taller than
Statue B. Statue C is one-half of a foot taller than Statue B.
13
Let x represent the height of Statue B. Write expressions to represent Statue A and
Statue C.
Statue A
Statue B
Х
Statue C
14 If the total combined height of the 3 statues is 34.5 inches, find the height of
Statue B.
Answer: B is 11 feet tall
A=x+1 since A is one more than B
C=x+1/2 since C is one half more than B
B=x since B is just B
A+B+C=34.5
x+1+x+x+1/2=34.5
3x+1.5=34.5
3x=33
x=11
B is 11 feet tall
please is for today and fast
Answer:
slope= [tex]\frac{2}{3}[/tex] or 0.6
y-intercept= -1
y= 0.6x+ -1
Step-by-step explanation:
slope= [tex]\frac{rise}{run}[/tex]
the y-intercept is where the line crosses the y axis
the equation for a line is y=mx+b where m is slope and b is y
Answer:
Slope: 1.5
Y-intercept: (0,-1)
Equation of the line: y=1.5x-1
Step-by-step explanation:
Slope=
change of y/change of x=
3/2 (or 1.5)
Equation of the line:
y=1.5x+b
-1=1.5(0)+b
-1=b
y=1.5x-1
Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need
Answer:
16 pots
Step-by-step explanation:
Laura wants to place a pot every 3/4 (0.75)m
The length she wants to cover is 12m
So all we must do is divide
1) 12/0.75 (I converted the fraction to a decimal cause its easier)
2) 12/0.75 = 16
3) which means for each 3/4 there will be one pot so there is 16 pots in total
Write a rule to describe each transformation.
- A
- B
- C
- D
Answer:
A, a dilation of 2
Step-by-step explanation:
The answer is, A dilation of 2 because the image is getting dilated to a bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.
(Pre-image is a shape before a transformation, image is after a ransformation.)
Have a great day friend! :D
If one-third of a number is 24 less than the thrice of the number, find the number.
Answer:
9
Step-by-step explanation:
Let the number be 'x'
One third of a number : (1/3) *x
Thrice the number = 3x
[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]
Multiply the entire equation by 3
9x - x = 72
8x = 72
Divide both sides by 8
x = 72/8
x = 9
Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?
Answer:
Train A
Step-by-step explanation:
Look at the table.
Train A : 75 - 50/ 3 - 2 = 25 mi/n
Train B : 40 - 0/ 2 - 0 = 20 mi/n
25 > 20
So it's train A.
{ RATE }
plz help will mark as brainliest
What is the product of 0.15 x 0.32? *
Answer:
0.048
Step-by-step explanation:
Answer:
The answer to 0.15 x 0.32 is 0.048
Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]
Answer:
v = 12
Step-by-step explanation:
[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross- multiply )
6v = 8 × 9 = 72 ( divide both sides by 6 )
v = 12
Answer:
v=12
9/v =6/8 (cross - multiply)
6v = 8 x 9 = 72 (divide both sides by 6)
v = 12
Step-by-step explanation:
that's my answer
I need help with my math homework :(
We plug in 14 for x when we set the two equations equal to each other to prove they are equal.
So true LM congruent to MN
-6) -6x — 10y = 3
12х + 20 y = 0
Elimination or substitution?
Solve
Answer:
Elimination and y=4 x=6
Step-by-step explanation:
l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?
Answer: 3 seconds
Step-by-step explanation:
h(t) = -16(t)^2 + 112(t)
Set h(t) = 192 feet
192 = -16(t)^2 + 112(t)
0 = -16(t)^2 + 112(t) - 192
Solve using the quadratic formula: There are two solutions, 3 and 4 seconds. Three seconds is the first time it reachers 192 feet, At four seonds it's on its way down.
The function can also be graphed (attached).
what number is 12% of 315
Answer:
12% of 315 is 37.8 :) Tag me if I'm wrong
Answer:
x = 37.80
Step-by-step explanation:
The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.
The given statement, "What number is 12% of 315" can be expressed algebraically as:
x = 0.12 × 315.
x = 37.80
Therefore, 37.80 is 12% of 315.
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.
Answer:
The interest is $0.03
Step-by-step explanation:
($720*0.014)/365
The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
P =$720
r = 1.4% = 0.014
n = 365
t = 1 day
[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]
After solving:
A = $730.15
The interest I = A - P
I = $730.15 - 720
I = $10.15
Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
Learn more about the compound interest here:
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#SPJ2
Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible
Answer:
She lives in the Southern Hemisphere.
Step-by-step explanation:
HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
Please help thanks!!!
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
Answer: ?
Step-by-step explanation:
round 2,419 to the nearest hundred
Answer:
2,400
Step-by-step explanation:
Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)
Answer:
2,400
Step-by-step explanation:
what is the slope of y=-4?
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:
f(d)=0.69d−1
and the function gg for exchanging British pounds for Euros is given by the formula
g(p)=1.3p−2
Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?
The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
Read more about composite functions at:
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Hi i need the answer to this asap please
2 divided by 3
please explain how you got answer like show work
please do not answer in decimal form or the answer from go ogle
and please dont just answer for points
what is the place value of 2 in 842567
Answer:
842567
the answer is thousands
7 is ones
6 is tens
5 is hundreth
2 is thousands
4 is ten thousands
8 is hundred thousands
Hope This Helps!!!
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.
Answer:
26.55°C
Step-by-step explanation:
21.85 - - 4.7
21.85 + 4.7
26.55
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Multiply as indicated. Write the product in standard form.
(2+i)^2
Answer:
3 + 4i
Step-by-step explanation:
Which term of the arithmetic sequence 1, 3, 5, 7, ... is 99?
It is the
th term.
Answer:
it is the 50th tearm
Step-by-step explanation:
I just added '2' to '1' 50 times in a sense and got 99
You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?
Answer:
5:7
Step-by-step explanation: