[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\leadsto[/tex]Let us assume entry fee for child be x
[tex]\leadsto[/tex]Let us assume entry fee for adult be y
[tex]\\[/tex]
[tex]\longrightarrow[/tex]Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -
[tex]\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) [/tex]
[tex]\longrightarrow[/tex]Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -
[tex]\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) [/tex]
Multiplying eq (1) by 2 it will be -
[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) [/tex]
Subtracting eq(2) from eq(3) -
[tex]\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} [/tex]
Thus , entry fee for a child at the amusement park = $ 35
Which equation has a constant of proportionality equal to 3
A) y=8/5x
B) y=1/3x
C) y=1/4x
D) y=18/6x
Answer:
I think it would be b
Step-by-step explanation:
the answer is b I think
Please help ive asked this so many times.
Find the area of each shape. Use 3.14 for π
Answer:
Okay, so the area of sqaure is 48 ft, the triangle is 8 ft, and the half circle is 12.57 feet.
Answer:
Your answers:
Semi-circle is 6.28
Triangle is 8
Rectangle is 48
Step-by-step explanation:
Please can someone help me with this!
1. Identify the slope of the graph linear function.
2. Find the zero of the linear function.
A- (-3,0)
B-none
C-(0,-3)
Answer: 1) Zero
2) B. None
Step-by-step explanation: The slope of any horizontal or vertical straight line is always going to be zero because it stays constant.
There are no zeros of the linear function because it does not cross the x-axis.
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?
Answer:
4 1/2 percent inch at the other side
ILL GIVE 40 POINTS!!
Which of the following numbers can be expressed as a decimal that terminates?
seven over four, five over nine, three over eight, two over three
seven over four and three over eight
five over nine and two over three
seven over four and five over nine
three over eight and two over three
Answer:
1.First = Seven over four and three over eight
because The denominators of 9 and 3 were not divisible by any of the tenths, hundredths, thousandths, etc.
Step-by-step explanation:
A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever. In other words, as a decimal 1/3 is 0.33333…..
Answer:
Seven over Four is one of the best answers
Segment AB is tangent to C. Find AB.
what does AB =
Round to the nearest tenth as needed
What is the image (-2,-3) after a reflection over the line y = x
How many solutions does this system have?
X + 2y = 0
10y = -5x
Choose the correct answer below.
No solution
O Exactly one solution
O Infinitely many solutions
Click to select your answer.
Answer:
Infinitely many solutions
Step-by-step explanation:
Given the system:
[tex]\left \{ {{x+2y=0} \atop {10y=-5x}} \right.[/tex]
One way to do it is to use substitution. That means we want to isolate one of the variables in one equation so we can plug it into the other equation. We can isolate [tex]x[/tex] in the first equation by subtracting [tex]2y[/tex] from both sides.
[tex]\left \{ {{x=-2y} \atop {10y=-5x}} \right.[/tex]
Now we know what [tex]x[/tex] is, so we can plug it into the bottom equation.
[tex]10y=-5(-2y)[/tex]
Then we simplify the right side:
[tex]10y=10y[/tex]
Then we divide both sides by 10:
[tex]y=y[/tex]
Since [tex]y[/tex] will ALWAYS be equivalent to itself, no matter what, we know that there are infinitely many solutions.
What is the equation of the line that passes through the point (-3, 4) and has a
slope of 2/3?
Answer:
y=2/3x+6
Step-by-step explanation:
The equation of a line is y=mx+b
We can plug in our givens
4=2/3*-3+b
4=-2+b
6=b
y-intercept is going to be 6
So, y=2/3x+6
A certain computer can perform 109 calculations per second. How many calculations can it perform in
10 seconds? Write your final answer in exponential form.
Answer:
1090
Step-by-step explanation:
I can't write the final answer in exponential form.
Answer:
1090 CalculationsStep-by-step explanation:
How I got 1090 was because..
You just do 109 times 10
So you will get your answer.
Hope this helps! <3
Heather and Amanda each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same storm. Heather spent $50 on 2 rose bushes and 3 geraniums. Amanda spent $186 on y rose bushes and 12 geraniums. What is the cost of one bush and one geranium?
Answer:
one Bush costs $19 and one geranium costs $6
Step-by-step explanation:
Let the cost of one Bush be x
Let the cost of one geranium be y
If Heather spent $50 on 2 rose bushes and 3 geraniums, then the equation that represent the statement is:
2x+3y = 50….... 1
If amanda spent $186 on 6 rose bushes and 12 geraniums, then the equation representation will be:
6x+12y = 186…......2
Solve equations 1 and 2 simultaneously
2x+3y = 56..... 1 × 3
6x+12y = 186 ..... 2 × 1
.......…............
6x+9y = 168
6x+12y = 186
Subtract
9y - 12y = 168-186
-3y = -18
y = -18/-3
y = 6
Substitute y = 6 into equation 1:
2x+3y = 56
2x+3(6) = 56
2x+18 = 56
2x = 56-18
2x = 38
x = 38/2
x = 19
Hence one Bush costs $19 and one geranium costs $6
NB: note that the y rose bushes in the question was corrected and 6 rose bushes was used instead in the equation.
Tasha believes that she can rewrite the difference 120 − 84 as a product of the GCF of the two numbers and another difference. Is she correct? Complete the explanation. She is not correct. The GCF of 120 and 84 is 12 . So 120 − 84 can be written as 12 × 10 − × , which is × (10 − ) or × = .
Step-by-step explanation:
GCF is greatest common factor. It is also termed as HCF.
Firstly we write the factors of 120 and 84
120 = 2×2×3×5×2
84 = 2×2×3×7
HCF of 120 and 84 = 12
ATQ,
Tasha believes that she can rewrite the difference 120 − 84 as a product of the GCF of the two numbers and another difference. Let's try to write like this.
120-84 = (12×10-12×7) [using the distributive property]
= 12(10-7)
It means that the difference 120 − 84 as a product of the GCF (i.e. 12) of the two numbers and another difference (i.e. 10-7). Hence, she is correct.
A garden shop manager tracks the inventory of seed packets in the store for a month based on
the initial amount in the store and the number of purchases per week. The function
P(t) = -34t + 200 represents the number of seed packets remaining after t weeks.
What does 200 represent in the function P(t)?
O the y-intercept of the function and the number of seed packets purchased each week
the y-intercept of the function and the initial number of seed packets at the beginning of the
month
O the slope of the function and the number of seed packets purchased each week
O the slope of the function and the initial number of seed packets at the beginning of the month
Using linear function concepts, it is found that the meaning of 200 in the function P(t) is given by:
the y-intercept of the function and the initial number of seed packets at the beginning of the month.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.In this problem, the function is:
[tex]P(t) = -34t + 200[/tex].
The slope is of m = -34 and the y-intercept is of b = 200, hence the correct option is:
the y-intercept of the function and the initial number of seed packets at the beginning of the month.
More can be learned about linear function concepts at https://brainly.com/question/24808124
IR
Which rule describes a composition of transformations
that maps pre-image PQRS to image P"Q"R"S"?
09
A.)Ro, 27040 T-2, o(x,y)
B.)T-2,0° Ro, 2700(x, y)
C.)Ro, 270w Ory-|(x, y)
D.) ry-axisº Ro, 270w(x, y)
A notation that correctly describes the given transformation is:
[tex]R_{O, 90\°}, r_{x-axis}[/tex]
A rotation of 90° around the origin, followed by a reflection over the x-axis.
How to describe the transformation?
Here you can see that we have a rectangle in the first quadrant, and then it is moved to the third quadrant.
In the image, you can also see that the orientation of the rectangle changes, thus, we have a type of rotation.
A rotation from the first quadrant to the second quadrant would give use the desired orientation of the rectangle, and then we could reflect it over the x-axis to reach the third quadrant, so we can write the transformation as a rotation over the origin of 90° followed by a reflection over the x-axis.
I'm not sure of the notation you use in the options, but this would be written as:
[tex]R_{O, 90\°}, r_{x-axis}[/tex]
That is a rotation of 90° around the origin followed by a reflection over the x-axis.
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
Please help me find the slope and y-intercept of this equation. And please tell me if it is proportional or not. THANK YOU!
Answer:
m = -3/4, b = 8, proportional, negative slope
Step-by-step explanation:
K = (x:x is a day of the week starting with the letter "T") please answer the question fast
Answer:
I think
K = {Tuesday and Thursday}
Brainliest please
Which model represents the equation below? Negative 4 x + (negative 2) = 3 x + (negative 5) 3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles 4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles
Answer:
4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tilesStep-by-step explanation:
Given the equation [tex]-4x + (-2) = 3x+(-5)[/tex], we are to evaluate by finding x
open the parenthesis
[tex]-4x -2 = 3x-5[/tex]
collect like terms
[tex]-4x-3x = -5+2\\-7x = -3[/tex]
Find the value of x
[tex]\frac{-7x}{-7} = \frac{-3}{-7}\\ x = \frac{3}{7}[/tex]
Expressing the function in terms of tiles will give 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles
Note that each terms of the expression were written in tems of tiles. The value with no variables (the constants) are all multiplied with 1 tiles each while those with x variables are multiplied by x tiles based on the sign (whether positive or negative)
Answer:
C
Step-by-step explanation:
what is combined sewer overflow
Answer:
A combined sewer is a sewage collection system of pipes and tunnels designed to simultaneously collect surface runoff and sewage water in a shared system.
help me answer this i need it
Answer:
0.25 cm
Step-by-step explanation:
24÷0.60 = 40
doneeee..
You are choosing between two different cheese wedges at the grocery store. Assume both wedges are triangular prisms with bases that are isosceles triangles. The first wedge has a base that is 2.5 in. wide and a height of 4.5 in., with the entire wedge being 3 inthick. The second wedge has a base that is 3 in. wide and a height of 4 in., with the entire wedge being 3.5 in. thick. Which wedge has a greater volume of cheese, and by how much?
The second wedge has a greater volume and it is greater by 4.125 in³.
Volume of each wedgeSince the each cheese wedge has a triangular base, its volume V = 1/2bhw where
b = length of base of triangle, h = height of triangle and w = thickness of wedgeVolume of first wedge
Given that for the first wedge, b = 2.5 in, h = 4.5 in and w = 3 in, its volume V' = 1/2bhw
= 1/2 × 2.5 in × 4.5 in × 3 in
= 33.75 in³/2
= 16.875 in³
Volume of second wedge
Given that for the second wedge, b = 3 in, h = 4 in and w = 3.5 in, its volume V" = 1/2bhw
= 1/2 × 3 in × 4 in × 3.5 in
= 42 in³/2
= 21 in³
Since V" = 21 in³ > V' = 16.875 in³, the second wedge has a greater volume.
Amount it is greater byThe amount its is greater than the first volume is the difference in their volumes. V" - V' = 21 in³ - 16.875 in³
= 4.125 in³
The second wedge has a greater volume and it is greater by 4.125 in³.
Learn more about volume of wedge here:
https://brainly.com/question/15901155
who can help with my math homework?? PLEASE
Answer:
What type of math is it
Step-by-step explanation:
“The 8th term of the sequence 781250, 156250, 31250…….is 10”
True or false ? HELPP PLS ITS DUE IN 27 MINS
This will take roughly 3 minutes,
First i'm assuming this is an arithmetic sequence since using the recurring formula;
156250=781250+d
where d is the common difference
d=-625000
Using the implicit relation we can then say;
u(N)=u⁰+nd
where are looking for u⁷ since our first term is u⁰, second is u¹....8th is u⁷
u(7)=781250-6250000
u(7)=-5868170
No it's not 10 if this is arithmetic sequence.
If this sequence is geometric then,
r=156250/781250
r=1/5
So we're diving by 5
we can use the implicit relation which states:
u(n)=u⁰r^n
u(7)=781250×1/5^7
u(7)=10
THIS IS A GEOMETRIC SEQUENCE AND THE 8TH TERM IS 10 SO THIS THIS TRUE HURYY
Find two consecutive whole numbers that [\sqrt;[63]] lies between
Answer:
between 7 and 8
Step-by-step explanation:
Consider perfect squares either side of 63 , that is
49 < 63 < 64 , then
[tex]\sqrt{49}[/tex] < [tex]\sqrt{63}[/tex] < [tex]\sqrt{64}[/tex] , that is
7 < [tex]\sqrt{63}[/tex] < 8
area of a trapezoid TRAP show work
Answer:
1020 cm²
Step-by-step explanation:
I assume that the parallel sides are TR and PA. Those are the bases.
A = (base1 + base2)h/2
A = (54 cm + 31 cm)(24 cm)/2
A = 1020 cm²
5. How many ways can you order your favorite 3 desserts from a menu of 8?
40,320
6720
6
336
Explanation:
Start at 8 and count down by 1 until three slots are filled.
There are 8*7*6 = 336 different permutations.
Alternatively, you can use the nPr permutation formula with n = 8 and r = 3.
is the cost of 1 dozen of pens is rupees 100 find the cost of 10 pens .
i need hurry
step by step
process by process
who will tell correct answer i will make him/her as a brainlists
Answer:
Rs. 83.33
Step-by-step explanation:
cost of a pen = Total cost / total quantity
= 100/10
= Rs. 8.33/pen
Total cost for 10 pens = Cost per pen x quantity
= Rs.8.33 x 10
= Rs. 83.33 Ans
In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes. How far from her house does her grandmother live?
Answer:
8.4
Step-by-step explanation
Jasmine's grandma's home will be 504 miles away from her home
What is the relation between distance[x] and time[t]?The relation between distance[x] and time [t] is -
[x] = v [t]
where v is the velocity of body.
Given is Jasmine reached her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes.
Let her grandma's home be [x] miles away form her house.
Assume that her velocity was [v] mph on her way to grandma's house.
45 = x/v
x = 45v
Her velocity on her way back home would be [v - 4] mph
70 = x/(v - 4)
x = 70(v - 4)
Equating both -
45v = 70(v - 4)
45v = 70v - 280
70v - 45v = 280
25v = 280
v = 11.2 mph
The value of [x] will be -
x = 45 x 11.2 = 504 miles
Therefore, Jasmine's grandma's home will be 504 miles away from her home
To solve more questions on kinematics, visit the link below-
https://brainly.com/question/21087207
#SPJ2
evaluate 4x ÷ y when x = 4 and y = -2
Answer:
8
Step-by-step explanation:
4x=16
-16/-2
8
Brainliest Please!
Answer: -8
(I saw an answer that said 8 but it’s -8)
Step-by-step explanation: x=4 y= -2
4(4) / -2
16/ -2
-8
Want money? answer this.
Answer:
x = 10 , EF = 8 , FG = 15.
Step-by-step explanation:
Given : If EF = 2x – 12, FG = 3x – 15, and EG = 23.
To find : find the values of x, EF, and FG.
Solution : We have given EF = 2x – 12, FG = 3x – 15, and EG = 23.
Let the line E ___F___G.
Here F is the mid point of EG . ( mid point divide the line EG cut the line EG in two equal parts)
We can say EF = FG.
EF + FG = EG -------(1)
Plug tha values EF = 2x -12 and FG = 3x - 15 , EG = 23 in equation (1).
2x - 12 + 3x -15 = 23 .
On combine like terms
2x + 3x -12 -15 = 23 .
5x - 27 + 23 .
on adding both side by 27.
5x = 23 +27.
5x = 50 .
On dividing both sides by 5.
x = 10.
Them, EF = 2 (10) -12
20 -12
EF = 8
FG = 3 (10) -15 .
FG = 30 -15 .
FG = 15.
EG = 5 +18 = 23 .
Therefore, x = 10 , EF = 8 , FG = 15.
Pls helpppp on this question
Answer: Part A - C, Part B - 12 pieces
Step-by-step explanation:
Part A:
We know that 1/4 of Meredith's sub is bigger than 1/4 of Jim's sub, so we can set up an inequality.
Let Meredith's sub size = m; Jim's = j
Therefore, 1/4*m > 1/4*j
We can multiply both sides by 4:
m > j
Thus, the correct answer is C
Part B:
Since he had 1/4 of it left, that means he at 1 - 1/4 of it = 3/4 of his sub.
We can calculate the value of 3/4 * 16 = 12 pieces