Answer:
senior ticket = $10 child's ticket = $8
Step-by-step explanation:
s = senior ticket
c = child's ticket
We need to write 2 equations, and we have 2 unknowns, s and c.
3s + 5c = $70
12s + 12c = $216
First solve for s using the first equation.
3s + 5c = 70 Subtract 5c from each side
3s + 5c - 5c = 70 - 5c
3s = 70 - 5c Divide each side by 3
3s/3 = (70 - 5c)/3
s = [tex]\frac{70 - 5c}{3}[/tex]
Now plug in s into the second equation.
12s + 12c = 216
12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216
[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216
4 (70 - 5c) + 12c = 216
280 - 20c + 12c = 216
280 - 8c = 216 Add 8c to each side
280 - 8c + 8c = 216 + 8c
280 = 216 + 8c Subtract 216 from each side.
280 - 216 = 216 - 216 + 8c
280 - 216 = 8c
64 = 8c Divide each side by 8
64/8 = 8c/8
64/8 = c
8 = c
Now plug c into the first equation and solve for s.
3s + 5c = 70
3s + 5(8) = 70
3s + 40 = 70 Subtract 40 from each side.
3s + 40 - 40 = 70 - 40
3s = 70 - 40
3s = 30 Divide each side by 3
3s/3 = 30/3
s = 30/3
s = 10
So a senior ticket costs $10 and a child's ticket costs $8.
evaluate the function at each specified
value of the independent variable and simplify
Answer:
Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:
1) q(x) = 1/(x^2 - 9)
a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9
b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:
[tex]\lim_{x \to \ 3} q(x) = infinity[/tex]
c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)
2) q(t) = (2*t^2 + 3)/t^2
a) q(2) = (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4
b) q(0) = (2*0^2 + 3)/0^2 = 3/0
Again, we can not divide by zero, this is simmilar to the case 1.b
c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2
Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number
Answer:
600
Step-by-step explanation:
Given f(x) = 17x - 18, find x when f(x) = 33.
Answer:
f(x) = 17x - 18
y=17x-18
y=17(33)-18
y=561-18
y=543
f(x)=543
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Plug in 33 for f(x) into the first equation:
33 = 17x - 18
17x = -51
x = -3
Can someone help me ????
Is this proportion true or false? 5/9 = 9/8 *
Answer:
False
Step-by-step explanation:
have a great dayyy
Answer:
False
Step-by-step explanation:
What is the ratio of blue paint to red paint in the mixture?
Answer: I think the answer is 5:2 Hope This Helps
It's 5:3
Hoped I helped!
Have a wonderful day-
Bye!
What is the slope of the line given by the function f (x) = 7 – 2x?
Answer:
I am not certain but I think it is -2 give that a try and hope it helps!
In order to prove a conjecture is always true, you must show?
A.) a formal proof
B.) a counterexample
C.) several true examples
D.) an informal proof
In order to prove a conjecture is always true is formal proof.
We have given that,
A.) a formal proof
B.) a counter-example
C.) several true examples
D.) an informal proof
We have to prove a conjecture is always true
In order to prove a conjecture is always true, you must show formal proof.
What is the conjecture?
A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.
Therefore the first option is correct.
In order to prove a conjecture is always true is formal proof.
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Answer: A- a formal proof
Step-by-step explanation:
just is
What are the next 3 terms in the sequence 2.0,3.5,5.0,6.5?
Answer:
8.0, 9.5, 11.0
It is increasing by 1.5.
Step-by-step explanation:
Answer:
8.0
explanation; the answer is 8.0
I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.
Answer:
C Subtraction property of equality
Step-by-step explanation:
You are subtracting 21 from both sides in step 3
Answer:
I would guess C
Step-by-step explanation:
I hope I'm correct, good luck.
Which equation represents the line that passes through points B and C on the graph?
Answer:
y= -2x-6
Step-by-step explanation:
Answer:
y = -2x - 6
Step-by-step explanation:
Took the quiz on Edge. Have an amazing day! ^w^
29% of 100 tiles is how many tiles
Answer:
29
Step-by-step explanation:
ez
Answer:
29
Step-by-step explanation:
29% of 100
= 29/100 *100
= 29
HELP ASAP!!! determine how if possible the triangles are similar
Answer:
d not simlar just letting u know ur getting it wrong
Step-by-step explanation:
Answer:
I think A or C would be the answer! Hope this helped a little!!
The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28.
Percents
Total
33One-third%
33One-third%
33One-third%
100%
$0.28
$0.28
$0.28
What was the wholesale price of each water bottle?
$0.56
$0.84
$0.93
$1.12
Answer:
Step-by-step explanation:
0.84 * 33 1/3% = 0.28
The answer is $0.84
Answer:
0.84
Step-by-step explanation:
took the test edge 2021
If h(x)=2(x^2+5)+10, what is the value of p(13)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]h(x) = 2( {x}^{2} + 5) + 10 [/tex]
[tex]h(x) = 2 {x}^{2} + 10 + 10[/tex]
[tex]h(x) = 2 {x}^{2} + 20[/tex]
_________________________________
[tex]h(13) = 2 \times ({13})^{2} + 20[/tex]
[tex]h(13) =( 2 \times 169 )+ 20[/tex]
[tex]h(13 )= 338 + 20[/tex]
[tex]h(13) = 358[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Are these answers right or some wrong? If some wrong plz answer them correct thanks!
You are wrong.
1, 2, 3 and 4 are correct.
5. 75%
6 is also correct
7. 100%
8. 50%
8(4y - 3) + 2(y - 5)
Answer:
34y-34
Step-by-step explanation:
Expand:
32y-24+2y-10
=34y-34
Answer:
34y-34 or 34(y-1) whichever is better for you specifically
Step-by-step explanation:
distribute so 32y-24+2y-10 then simplify like terms so 34y-34 or 34(y-1)
Solve -0.8(10 - x) = 36
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Linear equation.
Solving we get as,
-0.8(10-x)=36
=> -8 + 0.8x = 36
=> 0.8x = 36+8
=> 0.8x = 44
=> x = 44÷0.8
=> x = 55
x= 55.
The solution of the expression will be;
⇒ x = 55
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ -0.8 (10 - x) = 36
Now,
We can solve the expression as;
The expression is,
⇒ -0.8 (10 - x) = 36
⇒ - 0.8 × 10 + 0.8x = 36
⇒ - 8 + 0.8x = 36
⇒ 0.8x = 36 + 8
⇒ 0.8x = 44
⇒ x = 44 / 0.8
⇒ x = 55
Thus, The solution of the expression will be;
⇒ x = 55
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Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.
25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60
Answer:
35+5x<_60
Step-by-step explanation:
x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget
what the last guy was trying to say is
25 + 5x ≤ 60
btw this is correct i just did the test
Solve for x.
(1/9)^x=27^x/9^2x-1
Answer:
x=-2
Step-by-step explanation:
Please help! This is my last question on the homework and it’s taking forever for me to do
Answer: y = x + 40
Step-by-step explanation: y = x + 40
First of all, the line starts at the y-axis on 40, which means the y-intercept is 40.
Second, the slope, Rise over run. y2 - y1 / x2 - x1, which is = to 50 - 40 divided by 15 - 5. That is 10 over 10 or 10/10. The slope of that is 1 so the slope is just x.
There are a few possible answers and they are
y - 40 = 1(x - 0)
y - 50 = 1(x - 10)
y - 60 = 1(x - 20)
=================================================
Explanation:
Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)
Use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
m = (50-40)/(10-0)
m = 10/10
m = 1
The slope is 1.
Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.
------------------
Since your teacher wants the answer in point slope form, we'll use this as our template
y - y1 = m(x - x1)
where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.
------------------
If we use (x1,y1) = (0,40), then we get
y - y1 = m(x - x1)
y - 40 = 1(x - 0)
which is one possible answer
------------------
If we use (x1,y1) = (10,50), then we get
y - y1 = m(x - x1)
y - 50 = 1(x - 10)
which is another possible answer
------------------
If we use (x1,y1) = (20,60), then we get
y - y1 = m(x - x1)
y - 60 = 1(x - 20)
which is another possible answer
------------------
So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.
Given the two relations, which one is a function and why is the other one not a function
Answer:
The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first one is a function, and the second one is not a function.
Because in a function, each input only match ONE output.
Which set of values could be the side lengths of a 30-60-90 triangle? A. {5,10,10 sqrt 3} B. {5,5 sqrt 2 ,10} C. {5,5 sqrt 3, 10} D. {5,10,10 sqrt 2}
9514 1404 393
Answer:
C. {5, 5√3, 10}
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
Multiplying these ratios by 5 gives the set of side lengths ...
(5, 5√3, 10)
Answer: 5, 5√3, 10
Step-by-step explanation:
Solve this equation.
24 + 0.44x = 19 + 1.69x
Answer:
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 + 0.44x - 1.69x = 19
-1.25x = 19 - 24
-1.25x = -5
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 - 19 = 1.69x - 0.44x
5 = 1.25x
1.25x = 5
x = 5/1.25
= 4
Which equation represents the perpendicular
bisector of AB whose endpoints are A(8,2) and
B(0,6)?
Answer:
y = ½x + 2
Step-by-step explanation:
We are given the coordinates of the endpoint as;A(8,2) and
B(0,6)
The midpoint coordinates will be;
((8 + 0)/2, (2 + 6)/2) = (4, 4)
The slope of the midpoint using gradient formula will be;
m = (6 - 2)/(0 - 8)
m = 4/-8
m = -2
Thus, slope of a line perpendicular to the midpoint is;
m_p = -1/m
m_p = -1/-2
m_p = 1/2
Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;
y - 4 = ½(x - 4)
Multiply both sides by 2 to get;
2y - 8 = x - 4
Add 8 to both sides to get;
2y - 8 + 8 = x - 4 + 8
2y = x + 4
Divide through by 2 to get;
y = ½(x + 4)
y = ½x + 2
Which trigonometric identity is the reciprocal of the cos identity?
A. cosec
B. sec
C. sin
D. cot
Step-by-step explanation:
The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
HURRYYYYY!!!!
Which system of linear inequalities is graphed?
What is the domain and range please?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
which two fractions would make 1/8 plz help
Answer:
1/3 and 5/15
Step-by-step explanation:
Please help!!!!!!!! #1
Answer:
its d , because your distributing the 5 into what's in the parenthesis .