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
What is the solution set of the inequality below?
A .y greater than negative 33
B. y less than 33
C. y less than negative 33
D .y greater than 33
Answers
Your answer is C
Step-by-step explanation:
Multiply -33 x 11
Would you mind helping please
Answers
Answer:
So Number 1 is 4
Number 2 is 2
(Not sure about 3)
Number 4 is 54
(Not sure about 5)
Number 6 is
Step-by-step explanation:
Number 1: He needs 5x3 to get 15 balloons, but since he need more than provided, he needs one more pack.
Number 2: He played 2 rounds, and each round got 4 points, 4x2=8.
Number 4: If she had 8x8=64, and subtracted 10, she has 54.
Number 6: So you should make the fractions improper fractions, (fractions that have a numerator thats more than the denominator) so 2 1/4 = 9/4 and 3 1/4 = 13/4 and then multiply 13 x 9= 117 and then 4x4= 16 so you have 117/16 and then when you simplify it you get: 7 5/16
Hope this helps and also for the other questions I think someone else can get those :)
3. Which two integers are 7 units away from the number 5 on a number line?
A. -2 and 2
B. -2 and 7
C. -7 and 7
D. -2 and 12
Answers
Answer:
2B
3D
Step-by-step explanation:
2A is
a/b + -a/-b = a/b + a/b = 2a/b
this is NOT 0/0. you can't add numerator and denominator. when you have the same denominator, you can only add the numerator.
and don't forget : -×- and -/- are both + !
2B
you do not multiply anything. you ADD (but again NOT the denominators) !
and +×- or +/- = - !
overall this this adding a negative number to the same positive number. the result : always 0
2C
cannot be added like that. first you would have to bring both to a common denominator. but then you ADD !
2D
very similar to 2C.
3
5 + 7 = 12
5 - 6 = -2
these are the 2 integers 7 units away from 5.
A customer must choose a color of wrapping paper and gift box type for gift wrapping at a store. The table shows the customer’s options.
Wrapping Paper Color
red (R)
silver (S)
yellow (Y)
Gift Box Type
regular (G)
premium (P)
Which list shows the complete sample space of choosing a wrapping paper color and gift box for the gift?
A)GR, GS, GP, GY
B)PG, PR, PS, PY
C)RG, RP, RS, SG, SP, YG, YP, YR, YS
D)RG, RP, SG, SP, YG, YP
Answers
Answer:
The answer is D
Step-by-step explanation:
Red-Regular
Red - Premium
Silver-regular
Silver-premium
Yellow-regular
Yellow-Premium.
This all shows the space of choosing the color and gift box for the gift.
Because of the description.
If this answer is right pls give brainlest.
You’ll match each wrapping color paper to a gift box type once. Meaning,
Red (R) - regular (G)
Red (R) - premium (P)
Silver (S) - regular (G)
Silver (S) - premium (P)
Yellow (Y) - regular (G)
Yellow (Y) - premium (P)
i need help with the blank spaces!!
Answers
35002=-9x+55000 x=2222
0.39
10.74
What is the mode of the data set below?
102, 56, 77, 102 81, 72, 55
A.46
B.56
C.77
D.102
Answers
Answer:
102
Step-by-step explanation:
mode is the number that appears the most often.
Answer:
102
Step-by-step explanation:
The mode means the number that repeats the most in a set of numbers.
102, 56, 77, 102, 81, 72, 55
The number that repeats 2 times is 102.
Ryan has a bag that contains strawberry chews, cherry chews, and watermelon chews. He performs an experiment. Ryan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ryan performs the experiment 37 times. The results are shown below:
A strawberry chew was selected 8 times.
A cherry chew was selected 12 times.
A watermelon chew was selected 17 times.
Based on these results, express the probability that the next chew Ryan removes from the bag will be cherry or watermelon as a decimal to the nearest hundredth.
Answers
Answer:
32.43%
Step-by-step explanation:
Since there are a total of 37 tests and cherry was selected 12 times, the probability would be 12/37.
12(100/37)
32.43
The probability that it will be a cherry or watermelon is; P(Cherry or water melon) = (12 + 17)/37 = 0.51
How to find the Probability?
We are told that Ryan performs the experiment a total of 37 times.
From the experiment he got;
Strawberry = 8 times
Cherry = 12 times
Watermelon = 17 times
Thus, probability that it will be a cherry or watermelon is;
P(Cherry or water melon) = (12 + 17)/37 = 0.51
Read more about Probability at; https://brainly.com/question/251701
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The value of a share of stock decreases in value at a rate of $1.10 per hour during the first 3.5 hours of trading. Enter and solve an equation to find the decrease in the value of the share of stock during that time. Let x represent your variable.
The equation is ??? = 1.10
The decrease in the value of a share during 3.5 hours of trading is $???.
Answers
Answer:
The decrease in the value of a share during 3.5 hours of trading is $3.85.
The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, how many ounces are there in 8 pounds?
128 ounces
144 ounces
160 ounces
176 ounces
PLEASE HELP!!!!!
Answers
Answer:
128 ounces???
Step-by-step explanation:
A company that makes and sells riding lawnmowers determines that the demand for
lawnmowers is () = −/ + How many lawnmowers must be sold to maximize
revenue and what price must be charged for the lawnmowers to maximize revenue?
-use a representation(example step one, step two,
-use verbal explaination explaining each step
Answers
Answer:
2
Step-by-step explanation:
write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets. Two solutions: x=2, x=14.
Answers
Answer:
Write the absolute value equations in the form
x−b
=c (where b is a number and c can be either number or an expression) that have the following solution sets.
Chapter Reference
a
Two solutions: x=2, x=14.
Step-by-step explanation:
The absolute value equations in the form |x-b|=c is 6.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
Two solutions are x=2 and x=14
Now,
To write an absolute value equation that has these solutions, we need to find a common value of b and c that satisfy the property above. One possible way to do this is to find the midpoint and the distance between the two solutions. The midpoint is the average of the two solutions, and the distance is half of their difference. The midpoint will be the value of b, and the distance will be the value of c.
Using this method, we get:
b = (2 + 14) / 2 = 8
c = (14 - 2) / 2 = 6
Therefore, by the given equation the answer will be 6
Learn more about equations here;
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HELP! GIVING BRAINLIEST IF ANSWERED CORRECTLY AND FOR EACH SECTION!!!
Use the diagram below, if m∠AEC=41°, find each angle measure
Answers
Answer:
[14] 139
[15] 90
[16] 41
[17] 49
[18] 139
[19] 131
Step-by-step explanation:
[14] Since m ∠ CEB is vertical with m ∠ AED = 139
[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree
[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41
Note: vertical angles are angles opposite each other where two lines cross.
[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49
[18] To Find m ∠CEB we have to subtract from m ∠ DEB
180 - 41 = 139
[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41
Then m ∠ AEF = 90 +41=131
~Lenvy~
The data shows the number of products an assembly line creates each hour for 7 randomly selected hours.53,65,81,90,72,55,95
What is the range of the data set?
Answers
Answer:
The Answer is 42, in order to find the range of a data set you subtract the biggest number and the lowest number.
Step-by-step explanation:
In order to find the range of a data set you subtract the biggest number and the lowest number.
WILL CHOOSE BRAINLIEST! If A is (-4,5) and A' is (5,4) what transformation was used?
Answers
Answer:I think it isa 90 degrees clockwise rotation, because theformula for it is (x,y) to (y,-x)
Step-by-step explanation:
What is the approximate circumference of a circle with a diameter of 14 inches, rounded to the nearest inch? (Use 3.14 as an approximation of pi.)
Answers
Answer:
44 in.
Step-by-step explanation:
pi = 3.14 (in our case)
circumference = diameter x pi
circ. = 14 x 3.14, which equals to 43.96
round that and you get 44 in.
(BRAINLIEST TO BEST ANSWER!)
How do you write 254,456 in expanded form?
Answers
Angela uses 7 1/2 inches each of 6 different colors of embroidery floss to make one friendship. Each package of the floss contains 26 feet. How many friendship bracelets can Angela make if she has one package of each color?
Answers
Answer:
She can make 41 bracelets!:D
Answer: сдхдкссахкайсефдуехф84
Step-by-step explanation:
Please answer the question!
Answers
Answer:
62 degrees
Step-by-step explanation:
if they are complementary that means the angles ad up to 90, and all you have to do is subtract 90-28=62 degrees
Answer:
152
Step-by-step explanation:
a complimentary angle are 2 angles that add up to 180. therefore, we can subtract 28 from 180 ang get 152
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points)
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3: = -5x/-5=53/-5
Step 4: x = -53/5
Answers
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25 WRONG
- 5x - 25 = 78
- 5x - 25 + 25 = 78 + 25
- 5x = 103
x = - 103/5
x = - 20,6
Answer:
Step-by-step explanation:
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25 <== this is where the error was made.
Step 2: −5x = 53
Step 3: = −5x/−5=53/−5
Step 4: x = −53/5
Right steps:
−5x − 25 = 78
Step 1: −5x − 25 + 25 = 78 + 25
Step 2: −5x = 103
Step 3: −5x/−5 = 103/−5
Step 4: x = 103
Step 1 was where the error was, because she subtracted 15 from both sides instead of adding 15, so they cancelled out.
Hope this helps!
Michael has 26 shirts to fold. Let N be the number of shirts he would have left to fold after folding F them. Write an equation relating N to F . Then use this equation to find the number of shirts he would have left to fold after folding 23 of them.
Answers
Answer:
N = 3 F = 26
Step-by-step explanation:
If there's 26 in total and Michael has folded 3 of them N would be 3. F will be the total after folding 'N' amount left of the clothes!
(20 POINTS PLS HELP!!)
Answers
Answer:
D. QY
Step-by-step explanation:
Perpendicular means at a 90 degree angle, and QY is at a 90 degree angle to LD
please answer this asap and please show work.
Answers
32Two functions are shown.
What is the rate of change, in simplest form, of the function that has the lesser rate of change?
Answers
Answer:
4/12
Step-by-step explanation:
rate of change formula
f(b) - f(a) / b-a
f (5)- f (1) / 12-0
5-1 / 12-0
4/12
What is
(\frac{-7c}{p3})^-4[/tex]
without negative exponents
Answers
Which of the angles in the figure are supplementary to Ð5?
Answers
Answer:
Option C) Angle 6 and 7 only
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
So here the angle supplementary to Angle 5 would be 6, since adding both would get us 180 degrees. Then there's angle 7 which would also give us 180 degrees when added to angle 5.
Which scenarios can be represented by a ratio of 4 : 5 ?
Answers
There are 8 apples and 10 oranges in a basket. In this scenario, we can see that ratio of apples to oranges is 4:5.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
A ratio is a fraction that may compare part to whole or part to part. For example, suppose in a class, the ratio of boys to girls is 4 to 5. It means that the number of boys divided by the number of girls is a fraction that, in its simplest form, equals 4 over 5.
Same as there are 8 apples and 10 oranges in a basket. this is also represented perfectly in terms of ratio.
Therefore, In a basket, there are 10 oranges and 8 apples. We can observe that the ratio of apples to oranges in this situation is 4:5.
Learn more about ratios here:
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Which situation could NOT represent a proportional relationship?
Answers
Explanation: to find whether two instances are proportional, find the rate of change for each situation. Simply divide both numbers from both situations and if the numbers are not the same they are not proportional.
ASAP question!
There are four sixth graders and seven seventh-graders in Elsa's chess club. Two members of the club will be chosen at random to attend a tournament with several other chess clubs.
What is the theoretical probability of randomly drawing two sixth graders? What is the theoretical probability of randomly drawing two seventh graders?
Answers
Answer:
2 Six graders: 6/55 chance
2 Seventh graders: 21/55 chance
Step-by-step explanation:
Total: 11 students
6 graders: 4
4/11 for first student and 3/10 for second
4/11 * 3/10 = 12/110 = 6/55
7 graders: 7
7/11 for first student and 6/10 for second
7/11 * 6/10 = 42/110 = 21/55
please help me asap.
Answers
Answer:
a=8.8 kg
b=3.3 kg
c=2.49 kg
Step-by-step explanation:
B= 3.3kg
C=2.49kg
i need helppppppppp T^T
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because the cube of 4 is 64 and in cubing we could use either positive or negative numbers.