Answer:
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
x =$5.25
y = $9.75
Step-by-step explanation:
x = the number of student tickets sold
y = the number of adult tickets sold
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
Multiply (1) by 38 and (2) by 24
1368x + 912y = 16,074 (3)
984x + 912y = 14,058 (4)
Subtract to eliminate y
1,368x - 984x = 16,074 - 14,058
384x = 2,016
x = 2,016/384
x = 5.25
Substitute x = 5.25 into (1) to find y
36x + 24y = 423
36(5.25) + 24y = 423
189 + 24y = 423
24y = 423 - 189
24y = 234
y = 234/24
y = 9.75
x =$5.25
y = $9.75
PLEASE HELP ME
Melinda, Meredith, John, Mark, Stan, and Max are sitting at a table. What
fraction of the students have names that begin with the letter ‘M'? *
O 1/4
O 2/3
O 1/2
O 4/5
What is the minimum value for the function shown in the graph?
Answer:
2.5
The lowest point on the graph, or the minimum is at f(x)= 2.5
The minimum value of the given periodic function is, 2.5
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
A periodic function,
Period = 3π
The value of the function is in the range of (2.5, 4.5)
So,
Maximum value = 4.5
Minimum value = 2.5
Thus, the minimum value is 2.5
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PLZ HELP PLZ HELP WHATS THE ANSWER
Seven times the first number plus six times the second number equals 31.
- Three times the first number minus ten times the second number is 29.
WHAT ARE THE TWO NUMBERS
The first number will be [tex]\frac{11}{2}[/tex] and the second number will be [tex]-\frac{5}{4}[/tex].
Let the first number be x and the second number be y.
According to the question,
Since seven times the first number plus six times the second number equals 31. So,
[tex]7x+6y=31.......(1)[/tex]
Similarly,Three times the first number minus ten times the second number is 29.So,
[tex]3x-10y=29.......(2)[/tex]
Multiplying equation (1) by 3 and equation (2) by 7, we get
[tex]21x+18y=93[/tex]
[tex]21x-70y=203[/tex]
Now subtracting both the equations we get,
[tex]88y=-110[/tex]
[tex]y=-\dfrac{110}{88}[/tex]
[tex]y=-\dfrac{5}{4}[/tex]
putting the value of x in equation (1) we get,
[tex]7x+6\times-\dfrac{5}{4} =31[/tex]
[tex]7x-\dfrac{15}{2}=31\\[/tex]
[tex]7x=31+\dfrac{15}{2}[/tex]
[tex]7x=\dfrac{77}{2}[/tex]
[tex]x=\dfrac{11}{2}[/tex]
Hence the first number is [tex]\frac{11}{2}[/tex] and the second number is [tex]-\frac{5}{4}[/tex].
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Need help ASAP may have a reward
For you if you answer correctly :)
A.) 4
B.) -4
C.) 3
D.) -3
The sum of two numbers is 51, the difference is 17. Find the numbers.
Answer:
Sum: 34 + 17 = 51
Difference: 34 - 17 = 17
Step-by-step explanation:
math
Answer:
34, 17
Step-by-step explanation:
We can first get the two equations x + y = 51 and x - y = 17 by calling the first number x and the second one y. Next, we can add y on both sides in the second equation to get that 17 + y = x. Now, since we know that 17 + y is equal to x, we can substitute 17 + y in for x in the first equation. We get that 2y + 17 = 51, and if we subtract by 17 on both sides and get that 2y = 34. This means that y is equal to 17, meaning that x is 34.
HELP!!! I need help with this question
Answer:
90 90909090909090909090909090
Can anyone help me with this please
I’ll mark you as a brainliest.
If 0 is an angle in standard position and its terminal side passes through the point
(-7,24), find the exact value of sec 0 in simplest radical form.
Answer:
[tex] \frac { 5\sqrt{21} }{ - 7} [/tex]
Step-by-step explanation:
Firstly, let find some some other trig functions. We need to know all sides to know other trig functions. We know the horizontal side is -7 because it x-axis is at -7, it y-axis is at 24. so it vertical side is 24. Then we use the pythagorean theorem to find r
[tex] {7}^{2} + {24}^{2} = {r}^{2} [/tex]
49+576=
[tex] {c}^{2} [/tex]
525=c^2
[tex] \sqrt{525} = 5 \sqrt{21} [/tex]
So since we know that x= -7, y=24, r= 5 times sqr root of 21. We can find some trig functions. We can use function cosine here. Cosine equals
[tex] \frac{x}{r} [/tex]
cos=
[tex] \frac{ - 7}{5 \sqrt{21} } [/tex]
then we find secant which is the reciprocal of cos so we flip the numbers and that equals
[tex] \frac{5 \sqrt{21} }{ - 7} [/tex]
Yoyoyoyoyoyo can anyone help me wit this.
Answer and Step-by-step explanation:
First, we find the area of one area of a face on the cube.
6.5 × 6.5 = 42.25
Now, we times 42.25 by 6, since there are 6 faces on a cube.
42.65 × 6 = 253.5
The answer is 253.5
#teamtrees #WAP (Water And Plant)
how many differnt triangles can you make if you are given these three measurements for angles
Answer:
3
Step-by-step explanation:
i think?
Factor the expression f(x)=36x^4-49x^2
Answer:
u kqmnwnb jwkoajh wmkn.q
Please help! Will mark brainliest
Answer:
3!!!
Step-by-step explanation:
|2(-6)+5| - 8((1)/(2))
hope this helped ahahaa <3
what is the total area of the figure above ?
Answer:
10*10/2=50
20^2-10^2=100
10*10/2=50
50+50=100
Step-by-step explanation:
helpppp! The function f(x) = 4(2) models the
length of an image in centimeters after it
has been enlarged by 100% x times.
Which of these is the length of the image
after it has been enlarged 3 times?
Answer:
after it has been enlarged 3 times
There are 42 girls and 56 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy to girls has to be the same for each team. Everyone must participate in the game. What is the greatest number of teams that can be formed?
Answer:
7 teams with 6 girls and 8 boys on each team
Step-by-step explanation:
Both 42 (girls) and 56 (boys) are divisible by 7 (getting 6 and 8).
Therefore, there would be 6 girls and 8 boys on each team.
The ratio would be 6 girls:8 boys per team.
Check:
6•7=42 ––(6 girls amongst 7 teams = 42 girls total)
8•7=56 ––(8 boys amongst 7 teams = 56 boys total)
What is 7/9 as a decimal rounded to 3 decimal places?
Answer:
7 ÷ 9 = 0.77777777777
= 0.778
The given fraction 7/9 as a decimal rounded to 3 decimal places is 0.778.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
To convert a fraction to a decimal, we need to divide the numerator by the denominator.
Here, we have:
7/9 = 0.777777...
7 divided by 9 gives us a repeating decimal of 0.7777777... and so on.
To round this to 3 decimal places, we need to look at the fourth decimal place. If it is 5 or greater, we round up the third decimal place. If it is less than 5, we simply leave the third decimal place as is.
In this case, the fourth decimal place is a 7, which means we need to round up the third decimal place.
Therefore, 7/9 as a decimal rounded to 3 decimal places is 0.778.
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A football team has a net yardage of -34 1/3 yards on a series of plays. The team needs a net yardage of 20 yards to get a first down. How many yards do they have to get on their next play to get first down?
Answer:
54 1/3 yards
Step-by-step explanation:
Yards needed = Required net yards - Yards already ran
We know that Required net yards = 20
We can set yards already ran to -34 1/3
Yards needed = (20) - (-34 1/3)
= 20 + 34 1/3 Subtracting a negative makes it a +
= 54 1/3
They have to get 54 1/3 yards on their next play to get a first down
A
2 What is the area of a rectangle with a length of
7
5
5
meter and a width of
10
meter?
35
A
50 square meter
50
B
35
square meter
с
12
15
square meter
D1 square meters
Patsy chose C as the correct answer. How
did she get that answer?
If I draw a model
that is 1 square
meter divided into
fifths and tenths,
what is the area of
each small part?
Answer:
correct answer is A
She chose C because she added the numerators and the denominators
Step-by-step explanation:
7/5x5/10=35/50 or 7/10
Answer:
A) 35/50 m^2
Step-by-step explanation:
7/5 x 5/10 = 35/50 = 0.7 m^2
How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution
Answer:
19% alcohol solution = 65 ounces
37% alcohol solution = 25 ounces
Step-by-step explanation:
Let
19% alcohol solution = x
37% alcohol solution = y
x + y = 90 (1)
0.19x + 0.37y = 90*0.24
0.19x + 0.37y = 21.60 (2)
from (1)
x = 90 - y
Substitute into (2)
0.19x + 0.37y = 21.60
0.19(90-y) + 0.37y = 21.60
17.1 - 0.19y + 0.37y = 21.60
- 0.19y + 0.37y = 21.60 - 17.1
0.18y = 4.5
y = 4.5/0.18
y = 25 ounces
x + y = 90 (1)
x + 25 = 90
x = 90 - 25
x = 65 ounces
Every three years the population of one part of Brooklyn is recorded.
In 2014 there was a population of 10,500 people.
From 2014 to 2017 the population increased by 22%.
From 2017 to 2020 the population decreased by 10%.
What was the population of this area in 2020?
Answer:
11,529
Step-by-step explanation:
10500x22%=2310
10500+2310=12810
12810x10%=1281
12810-1281=11529
Answer:
Hello there!
Your question asks to find what was the size of the population in 2017
Answer: 6,721
In order to solve this problem, we're going to need to use the given information in the question in order to find the population in 2017.
Key information:
In 2010, population was 6500
In 2014, population increased by 10% from 2010
In 2017, population decreased by 6% from 2014.
With the information above, we can solve the problem.
We're going to start with 6500 as our starting population.
We know that the population increased by 10% in 2014, so we would multiply 6500 by 1.10.
Step-by-step explanation:
Plz I might fail if I don’t do this
Answer:
-130
Step-by-step explanation:
f(10) just means you plug in 10 for any X's in the equation
So it would be... f(10) = -10^2-3(10)
Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!
Answer:
720
Step-by-step explanation:
interior angles of a hexagon is 720
Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week?
Answer:
$110
Step-by-step explanation:
What are the domain and range of the function f(x)=square root x-7 +9?
Answer:
Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.
Step-by-step explanation:
The domain is possible x-values while the range is possible y-values. This question look like
[tex] \sqrt{x - 7} + 9[/tex]
The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in
[tex] \sqrt{7- 7} + 9[/tex]
which equals 9. So the range is all real numbers greater than or equal to 9.
Answer:
I think that the short answer will be C) on edge.
Step-by-step explanation:
Edge 2021.
Is this right. Please help me I will make you Brainliest
The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below
Answer:
90 feet is the total distance,the total time will be the x value of the function's zero
Step-by-step explanation:
graph y=-2(x-5)(x+1)
Answer:
Y=2(x-5)(x+1)
Y=2x-10+2x+2
=4x-8
Y =4x-8
Help on these questions
Answer:
the answer is 42.
Step-by-step explanation:
(8)(5)−8+(2)(5)
=42
Answer:
1: 42
2: 107.6 °F
Step-by-step explanation:
For question 1 you insert the x and y values into the expression:
8 × 5 = 40 (xy = 40)
40 - 8 = 32 (xy - x = 32)
2 × 5 = 10 (2y = 10)
32 + 10 = 42 (xy - x + 2y = 42)
For question two you insert the celsius value into the expression:
9/5 × 42 = 75.6 (9/5C = 75.6)
75.6 + 32 = 107.6 (9/5C + 32 = 107.6)
Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3
Answer:
They are both identical cubes which makes it much easier.
Work out the volume for just one first.
The formula for volume is:
l x w x h
However, since it is a cube, all lengths are the same.
3 x 3 x 3 = 27
Now multiply it by 2 to get the volume of both combined:
27 x 2 = 54.
In short, your answer is 54cm 3
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
Vrite down the mathematical name of this 3-D shape.

Answer:
cube
cuboid
cylindrical
sphere
cone