Answer:
32 seniors, 41 adults, and 23 children were admitted.
Step-by-step explanation:
To make things a bit simpler, we can represent all three kinds of tickets in terms of one variable, [tex]x[/tex]. Let the number of senior visitors be [tex]x[/tex]. Then, since 9 more adults were admitted as compared to the seniors, we can let the number of adult visitors be [tex]x+9[/tex]. Therefore, since there were 96 visitors in total, we know that the number of child visitors is 96 subtracted by the total number of adult and senior visitors. The total number of adult and senior visitors is [tex]x+x+9=2x+9[/tex]. Thus, the number of child visitors is [tex]96-(2x+9)=96-2x-9=-2x+87[/tex].
Now, all we have to do is write an equation to solve for [tex]x[/tex]. Since senior admission costs $3, we can represent the money earned from it as [tex]3*x=3x[/tex]. Since adult admission costs $8, we can represent the money earned from it as [tex]8*(x+9)=8x+72[/tex]. Finally, since child admission costs $5, we can represent the money earned from it as [tex]5*(-2x+87)=-10x+435[/tex]. Since we know that the zoo collected $539 in total, we can write the following equation to solve for x:
[tex]3x + 8x+72-10x+435=539[/tex]
[tex]x+507=539[/tex] (Simplify LHS)
[tex]x=32[/tex] (Subtract 507 from both sides)
Therefore, 32 seniors were admitted. Since [tex]x=32, x+9=32+9=41[/tex], so 41 adults were admitted, and finally, since [tex]x=32,-2x+87=-2*32+87=-64+87=23[/tex], so 23 children were admitted. Hope this helps!
Sam had 48 stickers to put on the walls in his bedroom. He divided the stickers
evenly among the 4 walls of his room. How many stickers did he put on each wall?
32
24
16
12
Answer:
48/4
12 he divided the stickers
evenly among the 4 walls of his room
I need help with it i don’t know how to do it
Answer:
What do you mean? Like you need to specify your question...
Step-by-step explanation:
what do you mean by that?
WILL GIVE BRAINLIEST TO WHOEVER WRITES AN ACCURATE EXPLANATION FOR THIS QUESTION!
Answer:
Doy puntos gratis si quieres
Step-by-step explanation:
65% of 40 is what number?
ahh this was supposed to be done yesterdayyy..
Answer:
65% of 40 is 26
26 is answer
Step-by-step explanation:
Percentage solution with steps:
Step 1: Our output value is 40.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$40=100\%$.
Step 4: Similarly, $x=65\%$.
Step 5: This results in a pair of simple equations:
$40=100\%(1)$.
$x=65\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{40}{x}=\frac{100\%}{65\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{40}=\frac{65}{100}$
$\Rightarrow x=26$
Therefore, $65\%$ of $40$ is $26$
asap.?
anyone please
Determine the value of y, if x is -2.
y = |x – 12|
Answer:
y=14
Step-by-step explanation:
Isabel is mailing packages. Each small package costs her $2.50 to send. Each large package costs her $4.20. How much will it cost her to send 1 small package
and 3 large packages?
Answer:
15.10$
Step-by-step explanation:
you would multiply 4.20x3 and 2.50x1 get the product of both answers and add them im pretty sure.
solve for x
−2(x+14)+1=5
Answer:
x=-16
Step-by-step explanation:
−2(x+14)+1=5
Step 1: Simplify both sides of the equation.
−2(x+14)+1=5
(−2)(x)+(−2)(14)+1=5(Distribute)
−2x+−28+1=5
(−2x)+(−28+1)=5(Combine Like Terms)
−2x+−27=5
−2x−27=5
Step 2: Add 27 to both sides.
−2x−27+27=5+27
−2x=32
Step 3: Divide both sides by -2.
−2x
−2
=
32
−2
x=−16
Answer:
x=−16
Answer:
-2(x + 14) + 1 = 5
-2x - 28 + 1 = 5
-2x - 27 = 5
-2x = 32
x = -16
Solve x2 - 13x + 30 = 0
Answer:
or, x2-(2-15)x +30= 0
or, x2-2x-15x + 30= 0
or,x(x-2)-15(x-2)=0
or, (x-2) (x-15)=0
either, or,
x-2=0 x-15=0
Answer:
x2-(10+3)x+30=0
x2-10x-3x+30=0
x(x-10)-3(x-10)=0
(x-10)(x-3)=0
either, or,
x-10=0 x-3=0
x=10 x=3
therefore,x=10,3
An item is regularly priced at $25. It is now priced at a discount of 60% off the regular price. What is the price now? $
Answer:
$15 is the sale price
Step-by-step explanation:
Drake is saving money to buy a new computer for $1,200. He already has $450 and plans $30 a week. The function y = 30x + 450 represents the amount Drake has saved after x weeks. How many weeks will it take Drake to save enough money to buy the computer?
Answer:
25 weeks
Step-by-step explanation:
step 1. find y which is what you are trying to find which is how long it will take for drake to make $1200
step 2.- subtract 450 from each side
1200=30x+450
-450 -450
750=30x
step 3.- divide by 30 on both sides
750=30x
30 30
x=25
i dont know if this helps but i am still learning how to explain on here. :)
Answer:
it will take him 25 weeks
Step-by-step explanation:
because 1,200 - 450= 750, and 750 divided by 30 is 25, therefore it will take him 25 weeks.
Put each line into slope-intercept form:
1. y=x + 3
2. 3x + 3y = -9
Can someone help me
Step-by-step explanation:
Slope-intercept form: y = mx + c
y = x + 3 is already in this form.
3x + 3y = -9,
3y = -3x - 9
y = -x - 3.
simplify fully please
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 8x² + 8
Answer:
-8(x^2 - 1)
Step-by-step explanation:
(x^2 + 3)^2 and (x^2 - 1)^2 are both squares of binomials. The first step here is to expand both:
-(x^2 + 3)^2 = -x^4 - 6x^2 - 9
(x^2 - 1)^2 = x^4 - 2x^2 + 1
Combine the two right-hand expressions, obtaining:
-8x^2 - 8 or -8(x^2 - 1)
This -8(x^2 - 1) is the simplest form of the given expression.
If desired, -8(x^2 - 1) can be factored: -8(x - 1)(x + 1)
If 12x - 3 = 17 + 7x, find the value of x.
Answer:
value of x is 4
Step-by-step explanation:
12x-3=17+7x
12x-7x=17+3
5x=20
x=4
Answer:
4
Step-by-step explanation:
Given that:
12x - 3 = 17 + 7x
Collect like terms
12x - 7x = 17 + 3
5x = 20
Divide both sides by 5
5x / 5 = 20 / 5
x = 4
Hence, x = 4
A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.
6 percent of 38 0.6 times 38 = 22.8
Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.
Answer: Than did not use 0.06 for 6 percent.
Step-by-step explanation:
From the question, we are informed that Than computed 6 percent of 38 as 6 percent of 38 = 0.6 times 38 = 22.8.
His above solution is wrong. We should note that:
6% × 38
= 6/100 × 38.
= 0.06 × 38
= 2.28
The mistake that he made was that Than did not use 0.06 for 6 percent.
Answer:
b
Step-by-step explanation:
edge
4 bells toll together at 9 am. They toll after 7, 8. 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?
Answer:
5 times
Step-by-step explanation:
What we need to do here is to find the lowest common multiple of 7,8,11 and 12
This is;
1848
Now, let’s calculate the number of seconds in 3 hours
In 1 hour, we have 3600 seconds
In 3 hours, this will be;
3600 * 3 = 10,800 seconds
So, to find the number of times in which all 4 will toll together, we need to know the number of 1848 seconds in 10,800 seconds
Mathematically, that will be;
10,800/1848 = 5.844
Our answer will be 5 times however
This is because the sixth time they would have sounded together would be more than the 3 hours time frame
Write a 3-digit number that can be divided by 3 but not by 10.
Answer:
Hi
999
Step-by-step explanation:
Please help me!!!!! I will give 15 points
Answer:
Step-by-step explanation:
all of them could be made into a difference of squares since they all have a minus sign in the expression, but maybe the question is if they can easily be made into a difference of squares.
with that said
[tex]y^{4}[/tex] -2 => [tex](y^{2}) ^{2}[/tex]- [tex](\sqrt{2}) ^{2}[/tex] could be a difference of squares but not easy
25[tex]m^{2}[/tex][tex]n^{4}[/tex] - 1 => (5m[tex]n^{2}[/tex])^2 - [tex]1^{2}[/tex] yes and pretty easy
[tex]p^{8}[/tex] - [tex]q^{4}[/tex] => [tex](p^{\sqrt{8} } )^2[/tex]-[tex](q^{2})^2[/tex] could be but not easy
16[tex]x^{2}[/tex] - 24 => [tex](4x)^{2}[/tex] -[tex](\sqrt{24}) ^{2}[/tex] could be but not easy
A fireplace burn 6 same-sized logs in 3 hours. How many logs does the fireplace burn in 9 hours?
Answer:
18 logs
Step-by-step explanation:
because 9 is three times 3, just multiply the 6 by three as well.
Which of the following lines is parallel to the line represented by 2y=4x+6?
y = -2x - 10
y = -3x + 10
y = 3x +10
y = 2x - 10
D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?
Answer:
d(5) = 5
Step-by-step explanation:
The nth term is given by :
[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)
We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.
[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]
So, the 5th term in the above sequence is 5.
Answer:
5
Step-by-step explanation
Pls help!!!! I will give brainilist
Answer:
I dont know bhai mara majo gonna be roky
Step-by-step explanation:
no only I did u lolamavo
Write a polynomial for the given real-world situation. If the length of a rectangle is 3x^2-4x+5 and the width is 2x + 1, write and simplify a polynomial expression for the area of the rectangle. 3 points for mathematical process and 2 points for correct answer.
Answer:
[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]
Step-by-step explanation:
Given that:
Length of a rectangle = [tex]3x^2-4x+5[/tex]
Width of rectangle = [tex]2x + 1[/tex]
To find:
Simple polynomial expression for finding the area of rectangle.
Solution:
First of all, we should know about the formula for finding the area of rectangle. Then we should know how to multiply two polynomials.
Formula for area of a rectangle in terms of its length and width is:
[tex]Area= Length \times Width[/tex]
Putting the given values:
[tex]Area = (3x^2-4x+5)(2x+1)[/tex]
Here, we can use the distributive property of multiplication for finding the value of the above multiplication expression.
[tex](A+B)\times (C+D) = A\times C + A\times D+ B\times C + B \times D[/tex]
Therefore, the multiplication of above polynomials can be written as:
[tex]Area = (3x^2-4x+5)(2x+1)\\\Rightarrow Area = 3x^2(2x+1)-4x(2x+1)+5(2x+1)\\\Rightarrow Area = 6x^3+3x^{2} -8x^{2} -4x+10x+5\\\Rightarrow Area = 6x^3+-5x^{2} +6x+5[/tex]
Therefore, the answer is:
[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]
There are 37 students participating in an after-school program offering classes in yoga, bridge, and painting. Each student must take at least one of these three classes, but may take two or all three. There are 12 students taking yoga, 18 taking bridge, and 19 taking painting. There are 9 students taking at least two classes. How many students are taking all three classes
Answer: 3 students
Step-by-step explanation:
You can solve this using the expression;
Total = A + B + C - Both - all - neither
Where A, B and C represent those taking one class
As each student must take at least 1 class, there is no 'neither'.
37 = 12 + 18 + 19 - 9 - All
37 = 40 - All
All = 40 - 37
All = 3
Answer:
3
Step-by-step explanation:
I added the number of students enrolled in each class. It equaled 49.
I subtracted the number of students from that amount
49-37= 12
I subtracted the number of students enrolled in two or more classes
12-9= 3
3 are enrolled in 3 classes
50 to the 9th power.
Answer: 1.953125e+15
Step-by-step explanation:
What is the distance between (–4, –10) and (–4, –4)?
Answer:
6 units
Step-by-step explanation:
(-4 , -10) ; (-4 , -4)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]= \sqrt{(-4-[-4])^{2}+(-4-[-10])^{2}}\\\\= \sqrt{(-4+4)^{2}+(-4+10)^{2}}\\\\=\sqrt{0+(6)^{2}}\\\\= \sqrt{36}\\\\= 6[/tex]
Answer:
6 units
Step-by-step explanation:
edge2021
Can someone please help me. I will mark Brainliest if correct. Thanks!!
9514 1404 393
Answer:
3.4 < x < 7.2
Step-by-step explanation:
The length of the third side of a triangle is always between the sum and difference of the lengths of the other two sides.
Here, the difference is 5.3 -1.9 = 3.4; the sum is 5.3 +1.9 = 7.2. So the length of the third side must satisfy ...
3.4 < x < 7.2
_____
Additional comment
The difference in side lengths is what you get when the shorter side is folded over the longer one. The excess of the longer over the shorter is the difference. If the triangle is to have non-zero area, the third side must be longer than that.
The sum of side lengths is what you bet when the two given sides are laid end-to-end. If the triangle is to have non-zero area, the third side must be shorter than that.
These statements are variations on the "triangle inequality", which states that the sum of any two sides must exceed the third. (That will always be the case if the sum of the shortest two sides exceeds the longest.)
an article bought for rupees 350 is sold at a profit of 20% find its selling price
Answer:
420
Step-by-step explanation:
20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).
Answer:
350 is our cost price and if we add our proft we get selling price
our profit=( 20/100)×350
i.e.70 so our profit is 70
then,
350+70= selling price
we get 420 as selling price
50KM into CM.Full step pls
Answer:
Step-by-step explanation:
1km = 100000cm
50 km = 50 x 100000 = 5000000cm
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128, ...
Then find a6. Round to the nearest tenth if necessary.
Answer:
Equation: x(n)=2*4^(n-1)
a6=2048
Step-by-step explanation:
Take note that the common ratio is 4 because 2*4=8, 8*4=32, 32*4=128, and so on...
We will use the equation x(n) = ar^(n-1) where n represents the nth term, r stands for the common ratio, and "a" stands for the first term. We use (n-1) because ar^0 is for the 1st term
Given the first term is a=2, the common ratio is r=4, then we have the equation x(n)=2*4^(n-1)
So, 128*4=512 would be the 5th term, and the 6th term would be 512*4=2048
So a6=2048
We want to find an equation and the sixth term of the given geometric sequence.
The equation is:
[tex]A_n = 4*A_{n-1}[/tex]
And the sixth term is equal to 512
Geometric sequences.In a geometric sequence, each term is a constant times the previous term, so the general relation is:
[tex]A_n = k*A_{n-1}[/tex]
Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:
8 = k*2
8/2 = 4 = k
Now we know the value of the constant, then the general formula is:
[tex]A_n = 4*A_{n-1}[/tex]
Now we can use this to get the sixth term:
[tex]A_6 = 4*A_5 = 4*128 = 512[/tex]
If you want to learn more about geometric sequences, you can read:
https://brainly.com/question/9300199