Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5
Answer:
the answer is A.................
a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that
What is the domain and range?
Answer:
The domain D = {0, 1, 2, 3, 4, 5}
The range R = {3, 4}
Step-by-step explanation:
Given the ordered pairs or points on the graph
{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.
Thus,
The domain D = {0, 1, 2, 3, 4, 5}
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.
Thus,
The range R = {3, 4}
Note: Please note that the duplicated elements in the range are written only once.
A train moves at a constant speed. The train travels 13
miles in 7 hour. What is the train's speed in miles per
hour?
Answer:
1.86 Miles per hour
Step-by-step explanation:
13/7
Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant
Answer:
The indifference point is 360 miles.
Step-by-step explanation:
Giving the following information:
Rental 1:
Total cost= 185 + 0.25*x
x= miles driven
Rental 2:
Total cost= $275
Now, we need to equal both formulas and isolate x:
185 + 0.25x = 275
0.25x = 90
x= 90/0.25
x= 360
The indifference point is 360 miles.
HELP NEEDED HELP NEEDED!
Answer:
G. 8.625 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of first rectangle:
1.5 × 2.5 = 3.75 ftArea of second rectangle:
1.5 × 2.5 = 3.75 ftArea of triangle:
1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125Put them together:
3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]I hope this helps!
The length and width or a rectangular courtyard is 40 feet and 30 feet, respectively. In order to make the courtyard larger, an additional 15 feet is being added to the width
Answer:
The new area is 1800feet^2
Step-by-step explanation:
Step one:
Given data
The length and width or a rectangular courtyard is 40 feet and 30 feet
we can calculate the area of the courtyard as
Area= 40*30
Area= 1200 feet^2
when the extra 15 feet is added to the width
the new width is= 30+15= 45feet
The new area is
Area= 40*45
Area= 1800 feet^2
in all the area will increase by 1800-1200= 600feet
can anyone help with this?
Answer:
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Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Answer:
Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Step-by-step explanation:
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Answer:
The integer is a positive 4 for golf. Under par should be negative 4.
Step-by-step explanation:
find the values of z and y . PLSSSS I NEED HELP ASAP
~ P l e a s e ~ h e l p ~ m e ~ o u t ~
Answer:
I think it's A.)
Step-by-step explanation:
please help I don’t understand this if you could help me that would be great , thanks!
slope = 4
y intercept = 0
====================================================
Explanation:
Two points on this line are (8,32) and (12,48)
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (48-32)/(12-8)
m = 16/4
m = 4
The slope is 4.
Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b
y = mx+b
32 = 4*8+b
32 = 32+b
32-32 = 32+b-32 ... subtract 32 from both sides
0 = b
b = 0
------------------
We found that m = 4 is the slope and b = 0 is the y intercept
We go from y = mx+b to y = 4x+0, which simplifies to y = 4x
In short: the y coordinate is 4 times that of the x coordinate.
For instance, if x = 16, then
y = 4x = 4*16 = 64
Which leads to the point (16,64)
Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.
Answer:
y = 4x
Step-by-step explanation:
The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]
~~~~~~~~~~
(8, 32)
(12, 48)
(16, 64)
k = 32 ÷ 8 = 4
y = 4x
Please help desperate due today please help
What is the solution to the system of equations?
y = x +3
X=-2
Answer: i don’t know
Step-by-step explanation:
can someone help pleaseee its due soon
Answer:is a rectangle
Step-by-step explanation:
Answer:
rectangle
Step-by-step explanation:
Jill is buying new appliances. The cost of the dishwasher is $459 and the cost of the microwave is $289. What is the total price including the sales tax of 7%?
Answer:
$800.36
Step-by-step explanation:
429+289=748
7% of 748= 52.36
748 + 52.36=800.36
The total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Jill is buying new appliances.
The cost of the dishwasher is $459 and the cost of the microwave is $289.
The total amount of the dishwasher and microwave will be
Total amount = 459 + 289
Total amount = $748
Then the price of the dishwasher and microwave after the sales tax of 7% will be
Total price = 7% of $748
Total price = 1.07 x $748
Total price = $800.36
Then the total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
helppppppppppppppppppppppppppppppppppppp
Convert -2x+6y=-24 to slop intercept form
Answer:
y= 1/3x - 4
Step-by-step explanation:
hope this helps
In Ms. Regan's closet, there is one gray t-shirt for every two black t-shirts. She buys 6 gray shirts so she now has an equal number of gray and black shirts. How many gray t-shirts and black t-shirts does she own now?
Answer:
12
Step-by-step explanation:
Given That:
1 gray t-shirt for every 2 black shirt
Number of gray shirts bought = 6 to ensure that number of gray and black t-shirts are the same
Before:
If x = number of gray t-shirt
Number of black t-shirts = 2x
Now :
After buying 6 gray t-shirts
x + 6 = 2x
6 = 2x - x
6 = x
x = 6
Hence,
Numbe of gray and black t-shirt now is :
x + 6 = 6 +6 = 12
2(x) = 2 * 6 = 12
if f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
I need this solved ASAP it is important please help me NO FAKE ANSWERS
Answer:
f(1)=101.25 and f(2)=112.5
Step-by-step explanation:
f(1) = 72(1.25)^1 = 11.25
f(1)=90=11.25
f(1)=101.25
f(2) = 72(1.25)^2
f(2)=72(1.5625)
f(2)=112.5
Step by step explanation
Answer: x = 4 and y = -3
Step-by-step explanation:
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.
3(-2 -2y) + 5y = -3
-6 - 6y + 5y = -3
-y = 3
y = -3
Now that we know y, we plug it into the original equation and solve for x.
2x + 4(-3) = -4
2x + -12 = -4
2x = 8
x = 4
You can check the answer by plugging both x and y into either of the original equations.
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
a.23.3 mi/gal
c.0.042 mi/gal
b.840 mi/gal
d.13.6 mi/gal
Answer:
a
Step-by-step explanation:
because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝
PLEASE HELP I HAVE 15 MINS LEFT PLSS
Answer:
14
Step-by-step explanation:
Answer:
14 hours
Step-by-step explanation:
(times by 8) 105 mins= 1 day (times by 8)
840mins = 8 day
840 mins in hours is 14 hours
ACE THAT TEST!!!
Plssssssssss help????????
Step-by-step explanation: Since the equation of this line is written in
slope-intercept or y = mx + b form, its slope or m is represented by the
coefficient of the x term which in this case is 8/5.
It's y-intercept or b is represented by
the constant term which in this is -5.
To graph the line, start with the y-intercept of -5.
So go down 3 units on the y-axis, plot a point at (0, -3).
From there, take your slope of 8/5, so rise 8 units
and run 5 units the right which should leave you at (5, 3).
Graph the line through those points.
In five games of bowling. Gabes combined score was 380. Find his score per game. Round to the nearest tenth of a cent when necessary
HELP PLEASE
Find the slope of the line.
Plz, I need help!
Answer:
The slope of this line is
[tex] \frac{1}{2} [/tex]
PLZ HELP ME! THANK YOU PLZ
consider the system of equation below 4x-8y =12 11x+7y=33
Part A: The equation 2x – 4y = 6
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.
Part B: The equation 22x + 7y = 33
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.
Answer:
first part is can be used to create an equivalent system and second part is can’t be used to create an equivalent system i think
Answer:
first can
second cant
Step-by-step explanation:
In Mr. Layden's class, three students
brought in their baseball card
collections. For their three
collections, the mode was 126 and
the range was 26. What are two
possibilities for the number of cards
in each student's collection?
Answer: 126, 126, 152
or
100, 126, 126
Step-by-step explanation:
Given:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR
Prove:
△RST ≅ △RSQ
Answer:
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
Step-by-step explanation:
The required fill-in-the-blank below as:
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given in question as:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR
To prove:
△RST ≅ △RSQ
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
According to AAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
Hence, △RST ≅ △RSQ
Thus, the required fill-in-the-blank above is in the solution.
Learn more about congruent triangles here:
brainly.com/question/4364353
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What is the perimeter of rhombus STAR
Answer:
160 cm
Step-by-step explanation:
