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
Urgent help need it plz help
Answers
Explanation:
Add the three angles up, and equal them to 180, as a triangle has 180*.
(13x + 2) + (3x - 4) + (5x - 7) = 180
Add together the like terms.
13x + 3x + 5x = 21x
2 + (-4) + (-7) = 9
21x + 9 = 180
21x = 189 (subtract 9 from both sides)
x = 9 (divide 21 from each side)
A diagram of a new competition swimming pool is shown. If the width of the
pool is 25 meters, find the length of the actual pool. (Round to the nearest
tenth)
Answers
47m at least I think it is
The perimeter of a rectangle is 24 inches. The length is 2 inches. Use the numbers below to complete an equation to solve for the width, w. Numbers may be used once, more than once, or not at all.
Answers
We want to find the width of a rectangle, we will find that the width is 10 inches.
Finding the width:So we know that the perimeter of a rectangle is just given by:
P = 2*(L + W)
Where L is the length and W is the width.
Here we know that:
P = 24 inches
L = 2 inches
Replacing that we get:
24 in = 2*(2 in + W)
(24in)/2 = (2 in + W)
12 in = 2 in + W
12 in - 2 in = 10 in = W
So the width is 10 inches.
If you want to learn more about rectangles, you can read:
https://brainly.com/question/17297081
50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help
Answers
Answer:348
Step-by-step explanation:
For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.
Answer:
[tex] 1,205.8\: {ft}^{3} [/tex]
Step-by-step explanation:
Given object is made up of cylindrical and conical parts.
Fir cylindrical part:
r = 16/2 = 8 ft
h = 4 ft
For conical part:
r = 16/2 = 8 ft
h = 6 ft
Volume of the object = Volume of cylinderical part + Volume of the conical part
[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]
Evaluate the following logarithm 3/4log16
Answers
Hope this helps
Find the sum of the expressions .
8+x-13+n(3-x) =
Answers
Answer: =−nx+3n+x−5
Step-by-step explanation:
Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.
Answers
Answer:
Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.
Step-by-step explanation:
Answer:
Terms: addition, division, multiplication
Constants: 9 and 2
Coefficients: 4 and 3
I think these are the right answers, I am so sorry if they are wrong!!
(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)
Answers
The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?
Answers
Answer:
The angle is approximately [tex]31^{o}[/tex].
Step-by-step explanation:
The description i the given question can be represented with the sides of a right angled triangle.
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
In the question, opposite side = 60 feet, and adjacent side = 100 feet.
Tan θ = [tex]\frac{60}{100}[/tex]
= 0.6
θ = [tex]Tan^{-1}[/tex] 0.6
= [tex]30.964^{o}[/tex]
θ = [tex]31^{o}[/tex]
The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].
What is the equivalent of 5f + 7f
Answers
Answer:
12 f
Step-by-step explanation:
Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below the parts that she decorates. What is the total area that Olivia decorates?
Answers
Answer:
440
Step-by-step explanation:
Taking the test!
Good luck, buddy!
Answer:
B
Step-by-step explanation: 400 or 4ft x 10ft
PLEASE HELP I WILL GIVE BRAINLIST! <3
On a certain hot summer's day, 606 people used the public swimming pool. The daily prices are 1.25 for children and 2.50 for adults. The receipts for admission totaled $1098.75. How many children and how many adults swam at the public pool that day?
Answers
What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)
Answers
Apply l'Hopital's rule:
[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]
where
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]
follows from the fundamental theorem of calculus.
In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.
We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."
Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.
please help 100points!!!!
And I will make brainiest
only if there is a good explanation.
Answers
Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.
Step-by-step explanation:
what is m∠1 if m∠7 = 60°?
Answers
Step-by-step explanation:
95vxgr Tu fjvgzgvkvgshvysrvv
m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p
Answers
Answer:
- 104
Step-by-step explanation:
Assuming the question is to evaluate the expression.
Given
- 3m² + 4n - p ← substitute given values for m, n and p
= - 3(- 6)² + 4(2) - 4
= - 3(36) + 8 - 4
= - 108 + 4
= - 104
What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?
Answers
Answer: 21 +4c
Step-by-step explanation:
Answer:
what is in between 36 and 2c?
Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84
Answers
Answer:
its c or 83 bc you add them all together then divide by the amount of grades he has in total
explanation: 70+89+91+82= 332/4(all together) would be 83
3 : 7 = 300 : x fill in the x for the equivalent ratios
Answers
Answer: 300:700
Step-by-step explanation:
If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for
PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you
Answers
Answer:
9in on the map
Step-by-step explanation:
1/2in=20m or 1in=40m
360/40=9
9in
5th grade pls help ik my pfp is my face but I look like a different grade
Answers
Answer:
18
Step-by-step explanation:
First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.
(hope this helps...brainliest??)
Steph Curry scored 62 points in 36 minutes of playing time. What was the unit rate? (points per minute)
A. 9
B. 1 13/18
C. 25.3
D. 6
Answers
Answer:
b
Step-by-step explanation:
it is
Answer:
B. 1 13/18
Step-by-step explanation:
1 13/18 x 36 = 62
Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5
Answers
Answer:
pov: im getting free points
Step-by-step explanation:
Combine these radicals.
√27-√3
24
2/3
c c
-2/3
o
-342
(I know it’s no C)
Answers
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9}[/tex][tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
3[tex]\sqrt{3}[/tex] - 1[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
Answer:
B i got it right trust me i got 100
Step-by-step explanation:
please help, thanks :)
Answers
Answer:
D :)
Step-by-step explanation:
slope is 2 and contains the point (5,-7)
write the equation of a line
Answers
Answer:
y = 2x - 17
Step-by-step explanation:
y = mx + b
m = 2
y = 2x + b
Plug in (5, -7) for x & y.
-7 = 2(5) + b
-7 = 10 + b
Subtract 10 from both sides.
-17 = b
y = 2x - 17
Check work.
-7 = 2(5) - 17
-7 = 10 - 17
- 7 = -7
Your answer is correct.
Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answers
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
Subtract 2w + 4 from 3w + 6 please help!!
Answers
Answer:
w+10
Step-by-step explanation:
3w+6-2w+4=w+10
Answer:
Step-by-step explanation:
x subtracted from y means y-x
2w+4 subtracted from 3w+6= (3w+6)-(2w+4)
don't forgett to diestribute invisible -1
-(2w+4)=-1(2w+4)=-2w-4
so
3w+6-2w-4=
3w-2w+6-4=
1w+2=
w+2
I will give a brainlist if someone could answer this problem with a explanation:)
Answers
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.
