Answer: 219 children and 72 adults swam at the public pool that day.
Step-by-step explanation:
Let x = Number of children , y= Number of adults.
As per given, x+y = 291 (i)
1.5x+2y = 472.50 (ii)
Multiply 2 on both sides of (i) , we get
2x+2y = 582 (iii)
Eliminate (ii) from (iii), we get
0.5x = 109.5
[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]
Put value of x= 219 in (i)
219+y= 291
⇒ y = 291-219 = 72
Hence, 219 children and 72 adults swam at the public pool that day.
Another fun game to do... copy and paste this on your page so others will have fun doing it too! Don’t leave anything out!
1. Think of a number
2. Double it
3.add 10
4. Half it
5. Take away the number you started with
6. Your answer is 5 Right?
Step-by-step explanation:
it worksss lolll
10
10×2
20+10
30÷2
15-10
yeahhh 5
great lolll
have a great day :)
7/8y-6=8
solve for y
Answer:
y=55/64
Step-by-step explanation:7
8y−6
=8
Step 1: Multiply both sides by 8y-6.
7=64y−48
64y−48=7(Flip the equation)
64y−48+48=7+48(Add 48 to both sides)
64y=55
64y
64
=
55
64
(Divide both sides by 64)
y=
55
64
Check answers. (Plug them in to make sure they work.)
y=
55
64
(Works in original equation)
Answer:
y=
55
64
Write the equation of the perpendicular bisector of the segment formed by:
(-4, 3) and (8, -3)
Answer:
The equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
Step-by-step explanation:
Given the points
(-4, 3)(8, -3)First, we need to find the midpoint of the points (-4, 3) and (8, -3)
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]=\left(\frac{8-4}{2},\:\frac{-3+3}{2}\right)[/tex]
[tex]=\left(2,\:0\right)[/tex]
Thus, the midpoint of the points is: (2, 0)
Now, finding the slope between (-4, 3) and (8, -3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]m=-\frac{1}{2}[/tex]
Therefore, the slope m = -1/2
The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2
Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the slope 2 and the point (2, 0)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 0 = 2 (x-2)[/tex]
[tex]y = 2x-2[/tex]
Therefore, the equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please.
Answer:
Area formula: l x w
= 8 x 3
24 cm^2
Perimeter formula: Sum of all sides
= 8+8+3+3
= 25 cm
Answer: 24cm
Step-by-step explanation:
8 multiplied by 3
Mammoth Cave in Kentucky has a depth of −124.1 meters. Suppose a hiker traveled to the bottom of the cave. How many meters did the hiker descend? __ m
Answer:
124.1 m
Step-by-step explanation:
Given that:
Depth of mammoth cave = - 124.1 meters
To travel to the bottom of the cave, hence, the hiker is at the maximum depth.
Since the depth of the cave is - 124.1 m and the hiker has traveled down tonthe bottom and hence covered the total depth. Then thebhiker must have descended by the same value corresponding to the depthnifnthe cave = 124.1 meters
When you buy multiple stocks, you have to multiply your gains and losses by how many stocks you own. For example, if you own two stocks of Netflix, and the stock increases in value by $10, you have gained $20 (To calculate this you do $10 x 2).
Suppose you own 5 stocks of Netflix. If the value of Netflix stock increases by $30 after you buy it... how much money have you made?
please answer i will give brainliest
Answer:
B
Step-by-step explanation:
The rate at Randy's store is 1 gallon of gas for $3
The rate at Sarah's store is 1 gallon of gas for $2.80
So, Randy's store is more expensive.
Helllp,??????????????
Can a line be drawn in the plane that is not a function?
Ο Νο
O Yes
Answer:if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Step-by-step explanation:So it is a no ok.
A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.
Answer: 6.5 hours
Step-by-step explanation:
From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:
= 75 / 1.5
= 50 miles per hour
The number of hours that the truck will use to travel 325 miles will be:
= 325/50
= 6.5 hours
The rectangle to the right has width 6x5 feet and length 9x8 feet. Find its area as
an expression of x.
Answer:
54x¹³Step-by-step explanation:
area = L x W
where L = 9x⁸
W = 6x⁵
plugin values into the formula:
Area = 9x⁸ * 6x⁵
= 54x¹³
The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:
Area = length × width
Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:
Area = (9x8) × (6x5)
To simplify the expression, multiply the coefficients and combine the variables:
[tex]Area = 54x^2 * 40x[/tex]
Now, multiply the coefficients:
[tex]Area = 2160x^3[/tex]
So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To know more about area, refer here:
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y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.Nicholas sprints the length of a football field. If a football field measures 100 yards and 1 yard is approximately 0.914 meter, how far, in meters, did Nicholas sprint?
Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
Answer: 91.4
Step-by-step explanation: PLEASE GIVE BRAINLIEST
Which is NOT a key feature of LaTeX: f\left(x\right)=\left(\frac{1}{4}\right)^x
After withdrawing $58, Mark
had $200 dollars left in his
savings account. How much
money was in the account
before the withdrawal?
x+5y=5
2x-y=-4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
Calculate the total to be repaid on a loan of $4600.00 for 18 months at a
rate of 5%.
Answer:
$4945
Step-by-step explanation:
the interest on the loan can be found by using this formula:
I = P · r · t P = principal, r = interest rate, t= time (in years)
I = 4600(.05)(1.5)
I = 345
Total Amount = Principal plus Interest
Total Amount = 4600 + 345 = $4945
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.
Answer:
1/52
Step-by-step explanation:
52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52
Point C is located at (-4, -6) on the coordinate plane. Point C is reflected over the y-axis to create point C'. What ordered pair describes the location of C''?
Answer:
(4,6)
Step-by-step explanation:
Since its reflected just remove the signs
The reflected coordinate points along the y-axis is C'(4, - 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know reflection over the y-axis changes (x, y) to (- x, y).
Given, Point C(-4, -6) is reflected over the y-axis.
∴ The reflected coordinate points C'(4, - 6).
learn more about transformations here :
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Carla rolls an unbiased 8 sided dice 100 times. Estimate the number of times she will roll a prime number.
Answer:
the numbers on an 8-sided die are 1, 2, 3, 4, 5, 6, 7, and 8
2, 3, 5, and 7 are prime numbers
half the numbers are prime
you should roll a prime number half of the time (theoretically)
if you roll the die 100 times, you (theoretically) should get a prime number 50 times, which is half of the time
What is the rate of change of the linear equation 3.9x + y = 15.21?
A. -15.21
B. -3.9
C. 3.9
D.15.21
Its substitution, and rearrangement you have to find x
y = 3x + 7 5x - 2y = -10
Answer:
Step-by-step explanation: I dont know actually
HERE IS THE TEXT THERE IS MORE THO
Answer:
What exactly is this for?write the number 100 as a product of it's prime factor in the same way write the factors in order from smallest to largest
Answer:
Thx for my points back
Step-by-step explanation:
Answer:
Thx
Step-by-step explanation:
for free points.....
2. On Saturday morning the temperature outside was 4 degrees Fahrenheit. By noon, the temperature had risen 12 degrees, and then at 9 P.M., it dropped 17 degrees. Write an expression that this situation describes. What was the temperature at 9 P.M.? Explain how you could use the vertical number line as a tool to solve the problem.
Answer:
it is 16 degrees outside then take away the 17 from the 16 and the answer is 1 degree
pls help this is for math class
Answer:
40
Step-by-step explanation:
i am not very good at explaining things but i am very good at math but i do hope this helps
Find the product. Please
6x+3 what is the value of x?
Answer:
3
Step-by-step explanation:
6x+3
6+6+6=18
or 6 divided by 2 which is 3
what is negative 5 plus 6
Answer:
negative 5 plus positive (normal) 6 is 1
the answer is 1
Step-by-step explanation:
6 is a positive number, it makes things higher.
5 is a negative number, it makes things lower
this is also the same as 6 - 5, which if you had higher numbers could be a negative number depending on which is bigger. since 6 is bigger in this case, the answer is positive. if it was negative 7 plus 6, the answer would be -1 or negative one. if it was negative six plus positive six, the answer would be zero since they cancel each other out.
is the number -284.2 rational or irrational?
Answer: -284.2 is a rational number