Answer: Child is $1 and Adult is $3, per person.
Step-by-step explanation:
We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.
The income for Monday and Tuesday can be calculated:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
Rearrange the second equation to isolate one of the variables. I'll pick C:
24C + 26A = $102
C = ($102 - 26A)/24
Now use this expression for C in the first equation
16C + 42A = $142
16(($102 - 26A)/24) + 42A = $142
16(($102 - 26A)/24) + 42A = $142
(1632 - 416A)/24 + 42A = $142
(68 - 17.3333A + 42A = $142
24.6667A = 74
A = 3 [The price of an adult pool admission is $3]
Use this value in either equation to find the price of a child's admission:
24C + 26A = $102
24C + 26*($3) = $102
24C = 102 - 78
C = $1 [The price of a child's admission to the pool is $1]
Check to see if these prices satisfy both equations:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
---
Monday: 16*(1) + 42*(3) = $142 ? YES
Tuesday: 24*(1) + 26*(3) = $102 ? YES
Child is $1 and Adult is $3, per person.
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Answer:
A
Step-by-step explanation:
hope this helped
Answer:
4y = -3x - 8
Step-by-step explanation:
given that 5(x+k)=4x +. 20 and that x is positive show that k < 4
Answer: its 5k
Step-by-step explanation:
Need help please if anyone one can help me now I will like that
Answer:
.
Step-by-step explanation:
Help I’ll give brainliest
Answer:
Is it 95 If it is give me brainliess
Step-by-step explanation:
What is the answer to this?
Answer:
option b.)y=1/4x-7/2.....
What is the most precise and accurate definition of perpendicular lines?
A. two lines in a plane with opposite reciprocal slopes
B. two lines in a plane with opposite slopes
C. two lines in a plane with reciprocal slopes
D. two lines in a plane with the same slope
Answer:
A. two lines in a plane with opposite reciprocal slopes
Step-by-step explanation:
Because, if you flip a slope and change the sign, you get an opposite reciprocal to the original slope, thus, forming perpendicular lines.
What is the velocity of a car that traveled total of 75 km north in 1.5 hours?
Answer:
hope this helped!
Step-by-step explanation:
75 km = 75000 m
1.5 hours = 5400 sec
Applying the formula
Velocity
=
75000 m
5400 s
=
13.89 m/s
What value of x satisfies the equation 3x – 2 = 2x + 4?
Answer:
x = 6
Step-by-step explanation:
3x - 2 = 2x + 4
First, we need only 1 set of x, so I'll subtract the smallest x from the other.
-2x both sides.
x - 2 = 4
Next, add +2 to both sides. (In these types of questions always do the inverse!)
And so your answer is:
x = 6
Answer:
x = 6
Step-by-step explanation:
1. Add 2 to both sides of the equation
3x - 2 = 2x + 4
3x - 2 + 2 = 2x + 4 + 2
2. Simplify
3x = 2x + 6
3. Subtract 2x from both sides of the Equation
3x - 2x = 2x + 6 - 2x
4. Simplify
x = 6
EASY 25 POINTS
If you get in incorrect I will not mark you brainliest.
Answer:
whats the question bro
Step-by-step explanation:
Answer:
whats the question mate?
Step-by-step explanation:
Let a and b be real numbers where ab+0. Which of the following functions could represent the graph below?
O f(x) = x(x – a)3(x – b) 3
O f(x) = (x – a)2(x – 614
O f(x) = x(x – a) (x – 5)2
O f(x) = (x – a)5(x – b)
The following functions could represent the graph below then the correct option is B; y = (x - a)^2 (x - b)^4.
What is graph ?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
we have given that a and b are real numbers different than zero.
From the graph, we can see that the line touches the x-axis in two values.
Now, if we would have an equation such as:
y = x(x - a)^3 (x - b)^3
then when x = 0
y = 0(0-a)^3 (0-b)^3
y = 0
But in the graph, we can see that when x = 0, the value of y is different than zero,
(For example, if x > a and x < b we would have a negative value for y)
Then the correct option is B ;y = (x - a)^2 (x - b)^4
Learn more about graphing functions here:
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A triangle has side lengths of 2 feet, 5.4 feet, and 5 feet. The angle measures are 90 degrees, 73 degrees, 17 degrees. Another triangle has side lengths of 3 feet, 8.1 feet, 7.5 feet. The angle measures are 90 degrees, 73 degrees, 17 degrees. Are the triangles similar? If so, what is the scale factor going from the top triangle to the bottom triangle?
Answer:
Yes. The factor is 3/2 (=1,5)
Step-by-step explanation:
They have all the 3 angles congruent, so they are similar. You calculate the scale factor by dividing the hypotenuse (for example) of the second triangle by the hypotenuse of the first one.
Answer:
1) yes 2) 1.5
Step-by-step explanation:
have a nice day! <:
guys do you know 9 divided by 0.954 because when i calculate it , it shows this big number so can you put it in an short way?
Answer:
9.43
Step-by-step explanation:
You simply use the first couple digits of the solution your calculator gave you. (How many depends on the question you were asked)
Answer:
9 23/53
Step-by-step explanation:
The fraction is not particularly nice. It can be written as ...
9/0.954 = 9000/954 = 500/53 = 9 23/53
As a decimal, the fraction has a 13-digit repeat:
[tex]9.\overline{4339622641509}[/tex]
Is 29/49 an interger
No, integers cannot be fractions or decimals.
HELP ASAPPPPPPP!!!!!
PLEASE HELP I NEED TO HAVE THIS DONE IN 30 MINUTES
Answer:
Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional
Annabelle picked 65 apples at a local orchard. 40% of the apples were green apples. How many green apples did Annabelle picked
26 green apples
if you do 0.4 * 65 you get 26 which is 40% of 65
hope this helps!
6. Find the value of y.
5
16
Work out the difference between 38.3 and 1.72
Answer:
36.58
Step-by-step explanation:
38.3-1.72=36.58
The value of the expression 38.3 - 1.72 will be 36.58.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
38.3 and 1.72
Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have
⇒ 38.3 - 1.72
⇒ 36.58
The value of the expression 38.3 - 1.72 will be 36.58.
More about the Algebra link is given below.
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9 unit percent change is 23, what is the 19th unit percent cahnge?
Answer:
42.40705%
Step-by-step explanation:
(1 - (23/100)^(19/9) = 1 + r/100
0.57593 = 1 + r/100
r = 42.40705%
Please help question in pic
Answer:
7,3
Step-by-step explanation:
for every 5 it goes right it goes 4 up. 2,1+5,4=7,3
Two numbers are in a ratio 11:7. If the smaller number is 700, what is the larger number? Pls tell with steps
Answer:
The larger number is [tex]1100[/tex]
Step-by-step explanation:
Let larger number be [tex]x[/tex]
We have
[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]
Answer:
The larger number is 1100.
Step-by-step explanation:
Solution :
Let the,
>> Larger number be 11x. >> Smaller number be 7x.Now, According to the question :
[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]
Hence, the value of x is 100.
Now, calculating the larger number :
[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]
Hence, the larger number is 1100
[tex]\rule{300}{1.5}[/tex]
PLS SHOW ME HOW U GET THE ANSWER AND WILL GIVE BRAINLYEST
Answer:
38 degrees
Step-by-step explanation:
all triangles length added up are 180 degrees.
add 52 and 90 to get 142. Subtract to get 38 degrees.
Please help asap! I will mark brainliest for correct answer!!
a softball player hits a pitched ball when it is 4 feet above the ground. the initial velocity is 75 feet per second. Use the formula: h=-16t^2+vt+s. How long will it take for the ball to hit the ground?
Answer: Do the math, the positive solution
t = 5.0495 seconds (If it's wrong sorry, I havent done a problem like this one in awhile!)
Step-by-step explanation:
Solve for r.
√2/3r + 1 = 23
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )
[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )
[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )
r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )
r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]
Answer:
B) r=33*sqrt(2)
Step-by-step explanation:
sqrt(2)/3r+1=23
sqrt(2)/3r=23-1
sqrt(2)/3r=22
sqrt(2)r=22*3
sqrt(2)r=66
r=66/sqrt(2)
r=66*sqrt(2)/(sqrt(2)*sqrt(2))
r=(66*sqrt(2)/2
r=33*sqrt(2)
please help me if you can
Idrissa collected pennies in a fundraiser. He measured the mass of all the pennies he collected to be2,400 grams. Two pennies put together have a mass of 5 grams. How much money did Idrissa raise in
this fundraiser?
The total amount of pennies Idrissa raised in this fundraiser is = 960 pennies
The total mass of all the pennies = 2,400g
But two (2) pennies = 5g
Therefore, to calculate the total amount of pennies Idrissa raised you cross multiply.
That is: 2 pennies = 5g
x pennies = 2,400g
Making x the subject of formula,
[tex] x = \frac{2 \times 2400}{5} [/tex]
[tex]x = \frac{4800}{5} [/tex]
[tex]x = 960[/tex]
Therefore the total amount of pennies Idrissa raised in this fundraiser is = 960 pennies.
Learn more here:
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Maggie's brother is 5 years younger than three times her
age. The sum of their ages IS 43.
How old is Maggie?
Answer:
Step-by-step explanation:
Let Maggie's age = x
The brother's age = 3x - 5
x + 3x - 5 = 43
4x - 5 = 43 Add 5 to both sides
4x - 5 + 5 = 43+5
4x = 48 Divide by 4
4x/4 = 48/4
x = 12
Maggie = 12
Brother = 3*12 - 5
Brother = 36 - 5
Brother = 31
Compare 4:10 and 12:20 using fractions. Which ratio is smaller? How do you know?
question 5. Write an equation of the line that passes through the points (-2, -6) and (4, 6).
Answer in slope-intercept form
Answer:
y=2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-(-6))/(4-(-2))
m=(6+6)/(4+2)
m=12/6
m=2
y-y1=m(x-x1)
y-(-6)=2(x-(-2))
y+6=2(x+2)
y=2x+4-6
y=2x-2
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Graph y= 0.5x^2 - 4x +6 on the coordinate plane.
Vertex:
Is this considered a minimum or maximum point?
Axis of symmetry: x=
Roots: x= and x=
Answer:
V: (4, -2), min, Axis: x = 4, Roots 2 and 6
Step-by-step explanation:
Multiply everything x 2 to get rid of the decimal in front of x^2
2y = x^2 - 8x + 12
Factor
2y = (x - 6)(x - 2)
The roots are at 2 and 6.
The axis of symmetry is in the center between the roots, so it is x = 4.
Put 4 into the original equation to find y
y = 0.5(4*2) - 4(4) + 6
y = 8 - 16 + 6, y = -2
Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.