Answers
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
Related Questions
In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are
Answers
Answer:
AC ; AB ; BC
Step-by-step explanation:
Recall that largest angles will oppose largest sides in a triangle, therefore, the angles in order of greatest to smallest are:
<B (84); <C (60); <A (36)
Their opposite sides will keep the same order from largest to smallest:
AC ; AB ; BC
The side lengths, in order from greatest to least, are
AC
AB
BC
9. Translate the sentence into an equation and solve. Use x as the variable.
The difference between six times a number and four is equal to fifty.
A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9
Answers
Answer:
Option B: 6x-4=50; x=9 is the correct answer.
Step-by-step explanation:
Given that:
x is the variable used for number.
6 times a number means 6x and difference means subtraction.
Thus according to given statement;
6x - 4 = 50
Adding 4 on both sides
6x - 4 + 4 = 50+4
6x = 54
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]
Hence,
Option B: 6x-4=50; x=9 is the correct answer.
Ms. Neil has 25% of her class who have turned in their reading logs. 7 students have
turned in their logs. Enter the total number of students in her class.
Answers
Answer:28
Step-by-step explanation:
25% × x = 7
Multiplying both sides by 100 and dividing both sides by 25,
we have x=7 x 100/25
7×100÷25
x=28
M is a directly proportional to r cubed when r=4 M=160
1) work out the value of M when r=2
2) work out the value of r when M=540
Answers
Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
[tex]M = ar^3[/tex]
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
[tex]M = ar^3[/tex]
[tex]160 = a(4^3)[/tex]
[tex]64a = 160[/tex]
[tex]a = \frac{160}{64}[/tex]
[tex]a = 2.5[/tex]
So
[tex]M = 2.5r^3[/tex]
1) work out the value of M when r=2
[tex]M = 2.5*2^3 = 2.5*8 = 20[/tex]
When r = 2, M = 20.
2) work out the value of r when M=540
[tex]M = 2.5r^3[/tex]
[tex]540 = 2.5r^3[/tex]
[tex]r^3 = \frac{540}{2.5}[/tex]
[tex]r^3 = 216[/tex]
[tex]r = \sqrt[3]{216}[/tex]
[tex]r = 6[/tex]
When M = 540, r = 6.
11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles
Answers
Answer: B
Step-by-step explanation:
For every 2 bricks, 5 paving stones were used to build a backyard patio. James used a total of 120 bricks to complete his patio. Of the paving stones he used, 46% were tan in color while the rest were gray.
How many gray paving stones were used to build the patio?
Answers
Answer:
162
Step-by-step explanation:
... (total paving stones) / bricks = 5 / 2
Multiplying by bricks gives ...
... (total paving stones) = (5/2)·bricks = 5/2·120 = 300
Then the number of gray paving stones is ...
... (gray stones) = (total paving stones) - (tan stones) . . . . tan + gray = total
... = (total paving stones) - 46% · (total paving stones) . . . . tan is 46% of total
... = (100% - 46%)·(total paving stones) = 54% · (total paving stones)
... = 54/100 · 300 . . . . put in the total number of paving stones
... (gray stones) = 162
Answer:
The answer is 162
Step-by-step explanation:
Which answer choice shows an inequality that represents the problem below? Marcus needs more than 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
24x + 125 > 550
24x + 125 >_ 550
24x + 125 < 550
125x + 24 > 550
Answers
Answer: 24x + 125 > 550
Step-by-step explanation:
If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q =
Question 3 options:
A)
4x2 – 4x + 4
B)
4x2 + 4x + 4
C)
4x2 + 4x – 4
D)
4x2 – 4x – 4
Answers
Answer:
B)
4x2 + 4x + 4 may be right answer
Steve began a baseball card collection by purchasing some cards. He increased the number of cards in the collection by a constant amount each week after that. The table below shows the total number of cards in the collection at the end of several weeks. How many cards did Steve initially purchase to begin his collection
Answers
Answer:95
Step-by-step explanation:
95x3=285
There are 95 cards did Steve initially purchase to begin his collection.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Steve began a baseball card collection by purchasing some cards.
And, He increased the number of cards in the collection by a constant amount each week after that.
Now, In 3 weeks he collect 285 cards.
Hence, Number of cards to collect in initially is,
⇒ 285/3
⇒ 95
Thus, There are 95 cards did Steve initially purchase to begin his collection.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
Draw and use algebra tiles to solve the equation.
2x - 3 = 5
Answers
Answer: x=4
Step-by-step explanation: Add 3 to both sides, Divide both sides by 22
Answer:
x=4
Step-by-step explanation:
2x-3=5
2x-3+3=5+3
2x=8
2x/2=8/2
x=4
Which ordered pair follows the pattern in the graph?
(2, 4)
(3, 4)
(6, 8)
(6, 9)
Answers
Answer:
The correct answer is (6,9)
Step-by-step explanation:
solve for (0)
12
15
Round to the nearest hundredth
Answers
Answer:
.014
Just trust me, you know I have your back
5. Skylar got a manicure for $25. If she plans to
tip 20%, how much is her tip?
Answers
Answer:
$5.00
Step-by-step explanation:
All we have to do is multiply 25 x 1/5 or 20%
25 x 1/5 = $5.00
to check, $5 x 5 = 25
Gregory used a calculator to find the equation h = 1.32t + 1.56, where t is the number of days after the grass was trimmed and h is its height measured in centimeters. Predict the height of the grass after 4 days.
F 1.85 cm
G 6.11 cm
H 6.35 cm
J 6.84 cm
Answers
Answer:
J
Step-by-step explanation:
h = 1.32t + 1.56
Replace t with 4 (days):
h = 1.32(4) + 1.56
Multiply:
h=5.28 + 1.56
Add:
h=6.84
The correct choice is J
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a 338 gallon hot tub?
Answers
Answer:
1 hour and 12 mins and 56 seconds
Step-by-step explanation:
Hope this helps and have a great day!!!
Look at the arrows in the drawings below. Indicate whether the arrows are parallel, perpendicular, or neither.
Answers
Answer:
In A and D the arrows are perpendicular, in B they are parallel and in C they are neither parallel nor perpendicular.
Step-by-step explanation:
The ability to influence another is a function of ______
= Dependency
Answers
Step-by-step explanation:
The ability to influence another is a function of dependency hahahaja
HELP ASAP! WILL GIVE BRAINLIEST!
Which statements below are ALWAYS TRUE about Rectangles? Choose ALL THAT APPLY.
- Diagonals are perpendicular
- Diagonals bisect each other in diagonals are equal in length
- Diagonals bisect each other, but they are NOT equal in length
- Opposite sides are congruent
- All four sides are congruent
- Diagonals bisect 90° angles
- Diagonals DO NOT bisect 90° angles
Answers
-diagonals bisect eachother are equal length
-all 4 sides are congruent
-diagonals bisect in 90 degree angles
-Diagonals bisect each other, are equal in length
-Opposite sides are congruent
-Diagonals bisect 90° angels
I’m sorry if one of these are wrong
SECTION B.
7. After 12 years Raghav will be three times as old he was four years ago. Find his present age.
Answers
Explanation:
Let x be the present age
x + 12 = 3(x - 4)
x + 12 = 3x - 12
x - 3x = -12 - 12
-2x = -24
x = -24/-2
x = 12
Graph x > -3. Please help soon!!! Thanks!!!!!
Answers
Answer: ok....
Step-by-step explanation:
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18 boys chose biking and 29 boys chose fishing.
The remaining boys did not complete the survey.
Which expression gives the percent of survey participants who chose fishing?
Answers
Answer:
48.3%.
Step-by-step explanation:
To determine the percentage of children in the summer camp who chose fishing as their favorite activity, knowing that there were 29 of 60 children in total who chose that option, the following calculation must be performed:
60 = 100
29 = X
(29 x 100) / 60 = X
2,900 / 60 = X
48.3 = X
Therefore, 48.3% of the children chose fishing as their favorite activity in summer camp.
Answer:
29
--------- ×100
18 + 29
Step-by-step explanation:
i got it right on ttm <3
please help me find the answer
Answers
Write the expression below as a product of two factors 6m +8n + 4
Answers
Answer: 2(3m+4n+2) is the answer
Explanation: because I’m smort;)
Which is the graph of
y= 1/2x
See picture
PLEASE ONLY COMMENT IF YOU ARE SURE OF THE ANSWER!!!
Answers
Answer:
Option 1
Step-by-step explanation:
Let's look at the slope; 1/2
it's positive, so the line will go from Quadrant III to Quadrant I. That means that Option 3 is out since it goes from Quadrant IV to Quadrant II.
Next; let's look at the steepness of the lines. Slopes that are fractions less than 1 are flatter than slopes that are greater than 1. Since the slope on Option 1 is flatter than Option 2, that means that Option 1 is a number less than 1, while Option 2 is a number greater than 1.
You can stop here, but we can also triple check using the rise/run.
Start from a point, for example (0,0) on Option 1. To get to the next point that's two whole numbers (1,2) we need to go 2 to the right and one up. Since we rose 1, and ran 2, the slope would be 1/2.
If we do the same with Option 2, we'll find that it rises 3 and runs 2. The slope for this line is 3/2.
Hope this helps!
You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches
Answers
PLEASE HELP!!! A group has at most $140 to spend on an event space. The inequality 15h + 40 140 represents the cost to rent the space, where h represents the number of hours the group can rent the space, and 40 represents the set up fee. Solve and graph the inequality to determine the number of hours they can utilie the room.
Answers
9514 1404 393
Answer:
h ≤ 6 2/3
Step-by-step explanation:
The inequality is presumed to be ...
15h +40 ≤ 140
15h ≤ 100
h ≤ 6 2/3
__
The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.
Is (−2,−6) a solution of y<7x+8y?
Answers
Answer: no
Step-by-step explanation: Khan says no because
Let's plug (−2,−6) into the inequality.
y< 7x +8
(-6) < 7 (-2) +8
-6≮−6
Which of the following describes the pattern in
terms of the sequence?
Answers
Answer: let's try the Second one ( sorry if i get it wrong)
Step-by-step explanation:
Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on. The notation a 1, a 2, a 3,… a n is used to denote the different terms in a sequence. The expression a n is referred to as the general or nth term of the sequence.
Answer:
it is the first one
Step-by-step explanation:
QUESTION 4 of 10: An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media
and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV advertising
and 35% is spent on radio advertising. How much is spent on radio advertising?
ОООО
a) $437,500
b) $525,000
c) $687,500
d) $1,500,000
Answers
Answer:a
Step-by-step explanation:trust me bro
What is one-third of one-half?
Answers
Answer:
0.16666666666
Step-by-step explanation:
1/3 x 1/2 = 0.16666666666