Answer:
Number of child tickets = 800
Number of adult tickets = 330
Step-by-step explanation:
Let c = number of child tickets
and a= the number of adult tickets.
We are given:
The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.
On a certain day, 1,130 enter the festival and 2, 520 is collected.
Making equations:
[tex]c+a=1130[/tex] (because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)
[tex]1.50c+4.00a=2520[/tex] (because total money collected is 2520, so adding coat of adult and child tickets will give us total money)
Now, solving these equations simultaneously, we can find values of x and y
Let:
[tex]c+a=1130--eq(1)\\1.50c+4.00a=2520--eq(2)[/tex]
From equation 1 find value of c and put it in eq(2)
[tex]c+a=1130\\c=1130-a[/tex]
Putting value of c in eq(2)
[tex]1.50c+4.00a=2520\\Put\:c=1130-a\\1.5(1130-a)+4a=2520\\1695-1.5a+4a=2520\\-1.5a+4a=2520-1695\\2.5a=825\\a=\frac{825}{2.5}\\a=330[/tex]
So, we get value of a = 330
Now, punting value of a in eq(1) to get value of c
[tex]c+a=1130\\c+330=1130\\c=1130-330\\c=800[/tex]
So, we get value of c = 800
Therefore:
Number of child tickets = c= 800
Number of adult tickets = a = 330
Decrease 112kg by 3/8
Answer:
70 kg
Step-by-step explanation:
[tex]\frac{5}{8}*\frac{112}{1}kg\\\frac{5}{1}*\frac{14}{1}kg\\5 * 14kg\\70 kg[/tex]
Decreasing 112kg by 3/8 is equal to 70kg.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To decrease 112kg by 3/8,
we can multiply 112 by 3/8 and then subtract the result from 112:
112 - (112 x 3/8)
First, we simplify 3/8 by finding a common denominator of 8:
= 3/8
= 3/8 x 8/8
= 24/64
So we have:
112 - (112 x 24/64)
To simplify this expression, we can first divide both the numerator and denominator of 24/64 by the greatest common factor, which is 8:
= 24/64
= (24 ÷ 8) / (64 ÷ 8)
= 3/8
Substituting this value, we get:
112 - (112 x 3/8)
Multiplying 112 by 3/8, we get:
= (112 x 3/8)
= (336/8)
= 42
Substituting this value, we get:
= 112 - 42
= 70
Therefore,
Decreasing 112kg by 3/8 is equal to 70kg.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ3
How do I solve 2-2|7+2x|=0
Answer:
x=-3
x=-4
Step-by-step explanation:
-2|7+2x|=-2
|7+2x|=1
7+2x=1
x=-3
7+2x=-1
x=-4
I need help will mark brainliest
Answer:
[tex]y=\frac{3}{2} x - 2[/tex]
Write an equation equivalent to the verbal statement “The sum of three times a number n and 7 is 16.”
3n + 7 = 16 (equation)
3n = 9
n = 3 (answer
Which amount is largest? 1kg 1dg 100g 1000mg
Answer:
your answer would be 1kg
Step-by-step explanation:
Answer: The largest one is 1kg
Step-by-step explanation:
The jazz band is selling tickets to raise money for new music stands.
They already had some money in their account when they started
selling tickets at $5.00 each. After selling 3 tickets, the band had a
total of $50 in their account.
Let x = the number of tickets sold, and let y = the total
amount of money in the jazz band's account.
Write an equation in point-slope form.
Answer: y - $50 = $5*(x - 3)
Step-by-step explanation:
We know that each ticket is sold at $5.00
The band initially had an amount of money M.
We know that after selling 3 tickets, the band had $50
We can write this as:
M + 3*$5.00 = $50
M + $15 = $50
M = $50 - $15 = $35
We want to write the equation for the account in the point-slope form.
We know that the slope will be equal to the cost of a single ticket, and we already have the point:
x = 3
y = $50
Then we can write:
y - $50 = $5*(x - 3)
This is the equation we wanted to find.
Help
Find the value of X
Answer:
x=11
Step-by-step explanation:
since the triangle is an isosceles triangle, angle 2 should be angle 42 so,
2x+20=42 degrees
2x=22
x=11
D.K.G.S. and B are five points on line / • KG + GD = KD • SD + DB = SB KS + SG = KG What is the order of the points from left to right based on their position along line 1? A B, D, G, K, S B K, G,D,S, B C KG,S,D,B D K,S, G,D, B
Answer: K,S,G,D,B
because KG + GD = KD => G is between K and D
SD + DB = SB => D is between S and B
KS + SG = KG => S is between K and G
=> The order of the points from left to right is K,S,G,D,B
Step-by-step explanation:
Hamburger meat is $2.19 per pound. A box of spaghetti noodles is $0.79.
Chris is going to purchase four pounds of hamburger meat and three boxes of spaghetti noodles. Write an expression that you could use to determine the amount of money Chris will spend.
Answer:
(2.19 x 4) + (0.79 x 3)
Step-by-step explanation:
ok so u hv to take 2.19 and multiply it by four. Then take 0.79 and multiply it by three.
Answer:
9.55
Step-by-step explanation:
Which method can be used to solve - 3-5 = 15? PLEASE HELP!
Answer:
cross multiply
Step-by-step explanation:
Answer:
OOOoOOOOOOOOooOOooOOOoOoOoOoOoOoOooooooooOOOOFFFFFFFFFFFFFFFFFFFFF
Step-by-step explanation:
You did the same thing to me
If angle DEF is an isosceles triangle with DE congruent to EF, Find x
Answer:
Fourth choice, 16
Step-by-step explanation:
The 2 angles are both 74 degrees, so the side that is facing each angle will be the same length, so:
9x - 73 = 3x + 23
add 73 to both sides
9x = 3x + 96
subtract 3x from both sides
6x = 96
divide by 6
x = 16
Which expression is equivalent to (4 + x) + 12?
I need this, please. I am willing to give brainly
Answer:
x=28
Step-by-step explanation:
180= 38 + (4x+30)
142= (4x+30)
112=4x
x=28
What is the x-intercept of the Cubic Function shown below?
A(1,0)
B(0,1)
C(1,7)
D(7,1)
Identify the simplest form of each ratio.
36 : 48
48 : 42
20 : 30
16 : 14
9 : 12
56 : 49
24 : 32
24 : 36
18 : 27
Answer:
38:48=3:4
48:42= 8:7
20:30= 2:3
16:14=8:7
9:12=3:4
56:49=8:7
24:32=3:4
24:36=2:3
18:27=2:3
PLZ HELP! I attached the image! Three vertices of parallelogram JKLM are K(6,2), L(2,−2) and M(−1,1). Identify the coordinates of vertex J.
Multiply (use the distributive property): 4(x-3)
Pls don't mess around I need this
Step-by-step explanation:
you need to mulitiply the 4 to x and -3
4x-12
if you need to solve for x: 4x=12
X=3
The answer is 4x-12
if you multiply 4 times x it is 4x, and if you multiply 4 by negative 3(-3) the answer is negative 12 (-12), so you put 4x together with -12 that would be 4x-12
in drop down menu one - 8, 6, or 5.5
in drop down two - 10.5, 8, 5.5
in drop down three- 33, 22, 11
HELP
What is the sum of the interior angles of a polygon with 28 sides? Include the formula in your answer and show your work. Be sure to include the units of measure in your final answer.
Help asap will give brainliest
Can somebody please help me
Answer:
Step-by-step explanation:
the shaded area would be
200*75=15,000 ft^2
from this are we have to subtract the are of the house and of the garage
house= 40*40=1600
garage=24*30=720
house and garage= 1600+720=2320
15,000-2320=12,680
Answer:
12680 ft²
Step-by-step explanation:
First we will find the area of the house and then the garage.
They're both rectangles so we should use this formula [tex]A=l*w[/tex].
Area Of The House:
[tex]A=l*w\\A=40*40\\A=1600ft^2[/tex]
Area Of The Garage:
[tex]A=l*w\\A=24*30\\A=720ft^2[/tex]
Adding the two areas:
Now we have to add the two together to find how much of the space they take up in the yard.
[tex]1600+720=2320[/tex]
Area Of The Yard:
[tex]A=l*w\\A= 200*75\\A=15000ft^2[/tex]
Subtracting The Two Areas To The Yard's Area:
[tex]15000-2320=12680ft^2[/tex] and that is it!
Smalls buys a baseball for $15 that discounted 15% He also has to pay 8% tax on the sale price find the final cost that smalls will pay round your answer to the nearest cent if necessary
Answer:
here's how you calculate sales tax after a discount.
Sale Price = original price – (% of discount * original price)
Sales Tax = Sales Tax rate * Sale Price.
Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86.
Step-by-step explanation:
Henry runs each lap in 4 minutes. He will run at most 11 laps today. What are the possible numbers of minutes he will run today?
Answer:
Step-by-step explanation:
Time taken in each lap = 4 min
Total laps = 11
Total time = 11 x 4 = 44min
Answer:
44 minutes
Step-by-step explanation:
4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44
Look at the arithmetic sequence below. Use the boxes to create a recursive formula for the sequence. 18, 21, 24, 27, 30, 33... Response area =
Answer:
we have:
u(1) = 18
u(2) = 21 = 18 + 3
u(3) = 24 = 18 + 3.2
u(4) = 27 = 18 + 3.3
.......
=> the sequence has: u(1) = 18
d = 3
=> u(n) = 18 + 3(n - 1) = 3n + 15
so the recursive formula for the sequence is u(n) = 3n + 15
Step-by-step explanation:
What percent of 50 is 20?
O 40%
O 2.5%
O 25%
O 4%
Could someone help me
Justin Bieber was a gangster but ever since Justin Bieber got with Hayley he tried straight not straight as in lgtbq
Answer:
He’s a good man
Step-by-step explanation:
Need help to solve this ASAP #6
Answer:
x = 20
Step-by-step explanation:
The length of the segment EG can be obtained as the sum of the segments EF and FG, that is:
EG = EF + FG
We are given:
EF = 4x + 14
FG = 50
EG = 144
Thus, we set the equation:
144 = 4x + 14 + 50
Simplifying:
144 = 4x + 64
Subtracting 64:
80 = 4x
Dividing by 4:
x = 80/4 = 20
x = 20
Help me i really need help please
Answer:
16.4%
Step-by-step explanation:
$1665=100%
$53.40=?
53.40×100÷1665
=16.4%
Which algebraic rule describes the 90° clockwise rotation about the origin?
A) (x, y) = (-x, y)
B) (x, y) = (x,-y)
C) (x, y) - (y, -x)
D) (x,y) - (-y, x)
Answer:
c
Step-by-step explanation:
[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
We are given:
An even number 'n', multiplied by the next consecutive even number is 168
Solving for n:
From the given statement, we can say that:
n(n+2) = 168 [n multiplied by the next even number 'n+2']
n² + 2n = 168
n² + 2n - 168 = 0 [subtracting 168 from both sides]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 [factoring out common terms]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n