Answers
Solving the Question
We're given:
There were 478 people in total.$1.75 per child$2.25 per adultTotal revenue of $975We must find the number of children and adults who swam.Set variables:Let a represent the number of children who swam.
Let b represent the number of adults who swam.
Create equationsBecause we've set two variables, we need two equations to be able to find the answers.
One of the equations will regard price while the other will regard the number of people, as those are the two things given in the question.
Number of people:
[tex]a+b=478[/tex]
The number of children + the number of adults = 478 in totalPrice:
[tex]1.75a+2.25b=975[/tex]
$1.75 per child + $2.25 per child = $975 in totalSolve equations[tex]a+b=478[/tex][tex]1.75a+2.25b=975[/tex]We can solve this question using substitution, where we plug one equation into the other.
Isolate a in the first equation:
[tex]a+b=478\\a=478-b[/tex]
Plug the first equation into the second equation by replacing a:
[tex]1.75a+2.25b=975\\1.75(478-b)+2.25b=975[/tex]
Solve for b:
[tex]1.75(478-b)+2.25b=975[/tex]
⇒ Open up the parentheses:
[tex]836.5-1.75b+2.25b=975\\836.5-0.5b=975[/tex]
⇒ Subtract 836.5 from both sides to isolate b:
[tex]-0.5b=138.5[/tex]
⇒ Divide both sides by -0.5:
[tex]b=277[/tex]
Therefore, there were 277 adults in total.Solve for a:
[tex]a+b=478[/tex]
⇒ Replace b with 277:
[tex]a+277=478\\a=201[/tex]
Therefore, there were 201 children in total.Answer
There were 201 children and 277 children at the pool that day.
Related Questions
Question below........
Answers
Answer:
-6x - 1
Step-by-step explanation:
-3(x + 1) - (3x -2)
= -3x - 3 - 3x + 2
= -3x - 3x - 3 + 2
= -6x - 3 + 2
= -6x - 1
Drag values to complete each equation.
Answers
Answer:
1. A. 1
2. D. [tex]17^9[/tex]
Step-by-step explanation:
Properties used:
Power of a Power PropertyProduct PropertyQuotient PropertyZero Exponent Property1. First, let's deal with the numerator.
[tex](17^3)^6[/tex] can be turned into [tex]17^1^8[/tex] by using the Power of a Power Property.
And then use the Product Property, [tex](17^1^8)(17^-^1^0) = 17^8[/tex]
So now, our fraction is this: [tex]\frac{17^8}{17^8}[/tex]
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: [tex]\frac{a^m}{a^n} = a^m^-^n[/tex] or [tex]\frac{1}{a^(^n^-^m^)}[/tex]. Which then you plug the numbers in: [tex]\frac{17^8}{17^8} = 17^8^-^8 = 17^0[/tex]. And since we know that in Zero Exponent Property: [tex]a^0 = 1[/tex], we can see that [tex]17^0 = 1[/tex]. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property: [tex](a^m)^n = a^m^n[/tex]
So plug the numbers in the property: [tex](17^{6}) ^3[/tex]= [tex]17^1^8[/tex]
Product Property: [tex](a^m)(a^n) = a^m^+^n[/tex]
We plug the equation in with [tex](17^{6}) ^3[/tex] turned into [tex]17^1^8[/tex] ---
[tex](17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9[/tex]
So the answer is [tex]17^9[/tex], which is D
I hope this helps!
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Have a great day!
Find the perimeter of the rectangle, in feet.
Answers
Answer:
33/4 = 8 and 1/4 = 8.25
Step-by-step explanation:
3 1/4 + 3 1/4 +7/8 + 7/8 = 33/4
Answer:
33/4 = 8 and 1/4 = 8.25
Step-by-step explanation:
brainliest pls
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
That's right, if that's what you're asking... Or I'm wrong, but good luck!
Step-by-step explanation:
what is 5 to the power of 99999999
Answers
Answer:
the answer is infinity
Step-by-step explanation:
O Mr. Math S. Fun is looking for his missing pair of
socks. He had 8 pairs from the beginning. 1 red pair,
3 blue pairs, 4 green pairs. He uses 7 pairs last week
and he knows he has a pair of socks remaining. He
left clues on what he used each day last week, help
him which among his socks missing?
Answers
Answer:
HHe is wearing the 8th pair
AnswerStep-by-step explanation:
PLEASE ANSWER THEST QUESTIONS!
It's Probability.
MINUM FOR ANSWERS IS 2.
PLEASE DON'T REPEAT ANSWERS IF SOMEONE ELSE HAS ALREADY ANSWERED.
ABOVE AND BEYOND ANSWERS WILL GET BRAINLY
Answers
Answer: its ether a or b
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth
Answers
Answer:
112.9 cubic meters
Step-by-step explanation:
Formula for Sphere: (4/3) * π*r*3
Since the hemisphere is half of the sphere, plug in variables and multiply.
A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry. Based on past data, how many of the next 65 pieces of jewelry sold should you expect to be bracelets?
Answers
Answer:
30
24 : 28 would equal 6 : 7
[tex]6/13[/tex] x 65 = 30
Use the proportion of the bracelets
The no. of bracelets are expected to sold are 30 pieces.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given that, A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry, which is 6 : 7 so, for every 6 pieces of bracelets 7 pieces of other types of jewelry are sold.
∴ No. of pieces of bracelets expected to sold are,
= 6/(6 + 7)×65.
= (6/13)×65.
= 6×5.
= 30 pieces.
learn more about ratios here ;
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Which of the following conclusions can NOT be drawn from the data table below?
The mass of the car affects how fast it travels down the ramp
The car with more mass will travel the fastest down the ramp
The length of the car affects how fast it travels down the ramp
The car with the least mass will travel slowest down the ramp
Answers
Answer:
The length of the car affects how fast it travels down the ramp
Step-by-step explanation:
It does not tell us the length
The length of the car affects how fast it travels down the ramp cannot be concluded by the given table.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The mass of the car affects how fast it travels down the ramp can be concluded from the table given.
The car with more mass will travel the fastest down the ramp can be concluded from table or data given.
The length of the car affects how fast it travels down the ramp can not be concluded by the given data as there is no length given in the table.
The car with the least mass will travel slowest down the ramp also be concluded from the data.
Hence, the length of the car affects how fast it travels down the ramp cannot be concluded by the given table.
To learn more on Statistics click:
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10 high school seniors were asked how many hours they work in a typical week during summer the data is shown below. STEP BY STEP ANSWERS ONLY
Answers
Correct answers only, this is KA
(I will report if there r mistakes)
Answers
plss hurry i have to finish this really soon
Answers
Answer:
equation 3 is correct
Step-by-step explanation:
Answer:
Number 3 is true.
Step-by-step explanation:
Equation 1 is 823543, so that is incorrect.
Equation 2 equals 1, wrong.
Equation 3 is 1/49. 7 multiplied by itself (7 x 7) is 49. This is correct
Equation 4 is 1/33232930569601, nowhere near the answer.
Please help on this math IXL! How do you solve for multiplying two exponents that both have the same number and same base? please answers the question from my screenshot for 10 points thank you so much!
Answers
Answer:
its 8^8
Step-by-step explanation:
Answer pleasezzz????
Answers
Answer:its a
Step-by-step explanation:beause i need points for free answers
Answer:
e
Step-by-step explanation:
Question A: Mai pumped 10 gallons out of her pool. This meaning she is taking out water or a negative sign. She does this in a period of 5 minutes.
The expression should be:
-10 / 5 = -2 | 10 / 5 = 2
so basically either -2 or 2
Question B: Tony added 3 fish to his pond each day for 21 days.
This meaning you have to multiply 3 x 21 or add 3 twenty-one times.
3 x 21 = 63 | 3 + 3 + 3 + 3 + 3 + 3 + 3...
Either method coming to a total of 63.
Translating Equations
The quotient of a number increased by 13 and -7 is -4
Answers
Answer:
(x+13)/-7 = -4
Step-by-step explanation: ? or 15 if thats an answer
The table shows the amount of money that each student each spent at an amusement park. Which measure best represents the center of the data?
Answers
What is the decimal equivalent of −1/2?
Answers
Answer:
-0.5
Step-by-step explanation:
Could I get a Brainliest?
i really need help on homework please help
Answers
Answer:
ARIA= LxH/2
A= 21x8/2 = 168/2=84cm
Step-by-step explanation:
Answer:
84cm
Step-by-step explanation:
AREA= LxH/2
A= 21x8/2 = 168/2=84cm
Solve using unit rates.
ill give brainlyest!!
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 28 minutes in 4 hours. How long did they rest in 7 hours?
Answers
Answer:
49 mins Step-by-step explanation:
28/4=7mins 7x7=49 mins
(SEND HELP) 50 points!!
Answers
Answer:
A And D
Step-by-step explanation:
THOSE ARE THE CORRECT ANSWER.
Answer:
3units, 4units, 8 units and 12units, 6units, 4units. Aka A and D
Step-by-step explanation:
help please easy points
Answers
Answer:
y=2x
Step-by-step explanation:
We need to first find the slope. Lets get two points and apply the slope formula.
(1,2) and (2,4)
Rise: 2
Run: 4
Slope: 2
Then, lets use the standard way of showing a linear equation.
y=mx+b
y=2x+0
what value of x makes the equation true 3/4x + 9 = 3
A. x = -8
B. x= -1/2
C. x = 1
D. x = 16
Answers
Answer:
[tex]\boxed{\sf{A. \quad X=-8}}[/tex]Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
3/4x+9=3
First, subtract by 9 from both sides.
3/4x+9-9=3-9
Solve.
3-9=-6
Rewrite the problem down.
3/4x=-6
Multiply by 4 from both sides.
4*3/4x=4(-6)
Solve.
3x=-24
Then, you divide by 3 from both sides.
3x/3=-24/3
Solve.
Divide these numbers goes from left to right.
-24/3=-8
x=-8
Therefore, the correct answer is A. x=-8.Variables and negative signs should appear in the answer.
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
x = -8
Step-by-step explanation:
Subtract 9 both sides:
⇒ 3/4x + 9 = 3
⇒ 3/4x + 9 - 9 = 3 - 9
Simplify the L.H.S and the R.H.S:
⇒ 3/4x = -6
Use cross multiplication:
⇒ 3x/4 = -6
⇒ 3x = -6 × 4
Simplify the R.H.S:
⇒ 3x = -6 × 4
⇒ 3x = -24
Divide 3 both sides:
⇒ 3x/3 = -24/3
⇒ x = -8
The ratio of offensive to defensive players on a football team is 4 to 3. If there are 52 offensive players on the team, how many defensive players are there?
Answers
Answer:
39
Step-by-step explanation:
1) Write a proportion using the ratio 4 to 3:
offense players (o) / defense players (d) = 4/3
2) Substitute known values:
52 / d = 4/3
3) Cross multiply (or your own method) and solve:
d = 39 players
Hope this helps!
Answer:
The answer is 39
Step-by-step explanation:
no explanation needed
An architect draws a blueprint of the newly modeled kitchen. The scale used is 1 inch = 4 feet. If the length of the kitchen is 6 inches, and the width of the kitchen is 3 inches, what are the actual dimensions of the kitchen?
A. 4 feet by 6 feet
B. 6 feet by 3 feet
C. 20 feet by 18 feet
D. 24 feet by 12 feet
Answers
D.24ft by 12ft
Step-by-step explanation:
Elijah buys a baseball jersey that costs $56.00. His bank account balance is now -$6.50. Which math sentence below describes how much Elijah owes?
A) > $7.00
B) > $6.00
C) > -$6.00
D) > -$7.00
Answers
Answer:
He owes $6.50.
Step-by-step explanation:
You didn't give that answer in the multiple choice answers, but yet there are four options and only two of them are different.
A square has a triangular hole in it. What is the area of the figure?
85[tex]in^{2}[/tex]
92.5[tex]in^{2}[/tex]
70[tex]in^{2}[/tex]
100[tex]in^{2}[/tex]
Answers
Answer:
92.5 square inches
Step-by-step explanation:
Area of square:
10 * 10 = 100 square inches
Area of right triangle:
(1/2) * 5 * 3 = 7.5 square inches
Area of figure:
100 - 7.5 = 92.5 square inches
Im stuck on this one question
Answers
Answer:
8x+6 is less than or equal to 42
Step-by-step explanation:
Answer:
e
Step-by-step explanation:
Cameron pays $6 to rent shoes.
Cameron pays $8 per game.
Cameron has a limit of $42.
Expression: 8x + 6 [tex]\leq[/tex] 42
Cameron must spend less than or equal to $42.
hope this helps :)
Cliff really loves ice cream. He decided to make a list of all the possible combinations from these choices. Then he remembered that he could have all those choices on a cone or in a bowl. How many outcomes are there?
Bowl or Cone
Ice Cream: Chocolate, Vanilla, Strawberry
Toppings: Chocolate syrup, Caramel, Marshmallows
Answers
Answer:
uh
Step-by-step explanation:
You have to find how many different outcomes there are in all.
Bowl or Cone (2)
Ice Cream Flavors: Chocolate, Vanilla, and Strawberry (3)
Toppings: Chocolate syrup, Caramel, and Marshmallows (3)
(2)(3)(3) = 18
There are 18 different outcomes in all
Please help!!!! with 26. a, and b
Answers
Answer:
A is 1 in 100 and b is 1 in 25
Step-by-step explanation:
there are 10 digits (1, 2, 3, 4, 5 ,6 ,7 ,8 ,9, 0).
that gives you a 1 in 10 chance but there are 2 and to get both of them, you do 1 in 10 x 1 in 10 which is 1 in 100. if you know that they are both even, this limits it to a 1 in 5 twice, 1 in 5 x 1 in 5 is 1 in 25.