Answer:
Student tickets cost $8 and adult tickets cost $5.
Step-by-step explanation:
12a + 12y = 156
6a + 11y = 118
We can multiply the second equation by -2 to try and cancel out the a variable.
[tex]12a + 12y = 156\\-12a - 22y = -236\\\\-10y = -80\\y = 8[/tex]
Now that we know that the student tickets cost $8, we can substitute it into an equation to find the value of a, the adult tickets.
[tex]12a + 12\cdot8 = 156\\12a+96=156\\12a=60\\a=5[/tex]
So, adult tickets cost $5 and student tickets cost $8.
Hope this helped!
Consider the system of equations.
y = 3x + 2
y=-fx-4
Explain why these particular equations can be graphed
immediately
Answer:
Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.
Step-by-step explanation:
can a quadrilateral be both a rectangle and a rhombus
Answer:
Yes
Step-by-step explanation:
Rules for a rectangle: 4 90 degree angles
Rules for a rhombus: 4 sides of equal length
A square is a quadrilateral with 4 angles of 90 degrees and 4 sides of equal length.
Answer:
Hey there! The answer to your question is yes.
Step-by-step explanation:
Work: A quadrilateral has 4 sides. Both rectangle and rhombus has 4 sides so the answer would be yes
Hope that helps!
By: xBrainly
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
the graph of an exponential function f of x equals two and two tenths to the power of x minus 7 tenths and a quadratic function g of x equals one eighth times x squared plus 2 times x plus 8
Answer:
(4.462, 19.411)
Step-by-step explanation:
From the description, the functions are:
f(x) = (11/5)^(x - 7/10)
g(x) = 1/8x² + 2x + 8
(Notice that 2 2/10 is equivalent to 22/10 = 11/5)
In the picture attached, the plot of the functions is shown. The exponential is in red and the quadratic is in blue. The exponential function begins to exceed the quadratic function from point (4.462, 19.411)
It's B (3.5, 17)
I don't know how that other guy got that but for me it's (3.5, 17) since I got it right.
Whoever answers this fully will get brainliest. Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised.
Answer:
Step-by-step explanation:
a. the inequality is x+y >= 2 (red line) that keeps onlythe two farms in the region.
b. substituting the coordinates of the farms in the inequality and see if they are satisfied:
C(2,2) 2+2 = 4 > 2 checks
F(3,4) 3+4 = 7 > 2 checks.
The other farms will not , for example,
D(1,-2) 1-2 = -1 < 2 does not check.
...
c. y > -4x + 3 is shown in blue.
Farms that satisfy given inequality can raise chickens, i.e. to the right of the blue line, or farms C,E and F.
If necessary, we can again check by the coordinates as in part b.
C(2,2) -4(2) + 2 = -8+2 = -6 y=2 > -6, so checks.
...
Identify the range of the function shown in the graph.
A. y> 0
B. O sys5
C. -5 sys5
D. y is all numbers.
Answer:
u should take a screenshot so i can better explain
Step-by-step explanation:
-125>-135 divide each side by -5 what is the resulting true inequality
Answer: 25<27
Step-by-step explanation:
-125/-5=25
-135/-5=27
25<27
Answer:
[tex]\boxed{25<27}[/tex]
Step-by-step explanation:
[tex]-125 > -135[/tex]
Dividing both sides by -5
=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]
=> [tex]25 < 27[/tex]
Using six random samples, the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7 20 = x 200 . What is the predicted number of catfish in the pond?
Answer:
The predicted number of catfish in the pond is 57.
Step-by-step explanation:
We are given that the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7/20 = x/200.
We have to calculate the predicted number of catfish in the pond.
The given proportion to us is;
[tex]\frac{5.7}{20}=\frac{x}{200}[/tex]
Cross multiplying both the fractions we get;
[tex]5.7 \times 200=x \times 20[/tex]
[tex]\frac{57}{10} \times 200=x \times 20[/tex]
[tex]{57} \times 20=x \times 20[/tex]
[tex]x = \frac{57 \times 20}{20}[/tex]
[tex]x = 57[/tex]
So, the predicted number of catfish in the pond is 57.
Answer:
57
Step-by-step explanation:
Big brain.
Another help!! I need help ASAP guys
Answer:
B (the second choice)
Step-by-step explanation:
to calculate the area of a circle you use the formula A= π r²
the radius of the circle is 5 in, so the only answer that could work is
π(5in)²(30/360).
Hope this helps <3
~sunflowerpug
UwU
what is the quadratic equation?
simplify 2^4×2^3/2^5×2^4 leaving your answer in index form
Step-by-step explanation:
[tex]\frac{2^4 * 2^3}{2^5 * 2^4}[/tex] [tex]\frac{2^(4+3)}{2^(5+4)}[/tex] [tex]\frac{2^7}{2^9}[/tex] 2^(7-9) 2^(-2)Answer:
Your correct answer is 64.
Step-by-step explanation:
2^4 × 2^3/2^5 × 2^4 = 64
The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide, what is its area?
Answer:
Step-by-step explanation:
Area of octagon = area of square - area of 4 triangles that are formed in four corners
Area of square:
Side = Width of the octagon = 10 cm
Area = side * side
= 10 * 10
= 100 cm²
Area of triangle:
Base = 2cm
height = 2 cm
Area =[tex]\frac{1}{2}b*h[/tex]
=[tex]\frac{1}{2}*2*2[/tex]
= 2 cm²
Area of octagon = 100 - 2 = 98 cm²
The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people will win a prize.
Answer:
20 people
Step-by-step explanation:
In this problem, you are solving for 5% of 400. All percentages are out of 100, meaning 5% equals 0.05 because 5 ÷ 100 = 0.05
1. Multiply 400 by 5% (0.05)
400 · 0.05 = 20 people
Answer:
20 people will win
Step-by-step explanation:
i used a notes and google to answer this :)
PLEASE HELP! Determine the number of subsets of 4 elements taken from a set of 11 elements if order does not matter. a) 330 b) 7920 c) 1663200 d) 14641
Answer: A.) 330 ways
Step-by-step explanation:
We are to determine the number of subsets with 4 elements that can be formed from a set containing 11 elements.
Since the arrangement doesn't matter, it's a combination problem.
We are to take out a subset containing 4 elements at a time ; from a set with 11 elements
Recall :
nCr = n! / (n-r)! r!
11C4 = 11! / (11 - 4)! 4!
11C4 = 11! / 7!4!
11C4 = (11 * 10 * 9 * 8) / 4 * 3 * 2 * 1
11C4 = 7920 / 24
11C4 = 330 ways
Write the interval {x|1 < x < 3} as an i inequality
and using interval notation.
Answer:
1 < x < 3
(1 , 3)
Step-by-step explanation:
We have been provided with a set that is
{x|1 < x < 3}
We have to write it in both as an inequality and also in the form of interval notation.
The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:
1 < x < 3
To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.
(1 , 3)
3. In the diagram O is the centre of
the circle.
AOC is a straight line.
Angle BAO is 24° and Angle ADO is 42°
a)find angle CAD
b)find the size of ACB
c)find the size of angle BCD
Answer:
Step-by-step explanation:
a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp to equal sides are equal)
hence angle CAD=42
b)angle b =90(angle subtended by diameter)
hence using angle sum property in triABC,
angle ACB=66-------------eq4
c) in tri OAD,
Angle AOD=180-(42+42)-------(using angle sum prop.)
=> 96-----------------eq1
angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)
hence angle ACD =1/2 x 96(from eq1)
angleACD=48--------------eq3
from eq 3,and eq4,
angle BCD= 48+66
=114 degree...
hope this helped you........pls mark brainliest
a) Measure of angle CAD is, 42°
b) The size of ACB is, 66°
c) The size of angle BCD is, 114°
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In the diagram O is the center of the circle.
And, AOC is a straight line.
Here, Angle BAO is 24° and Angle ADO is 42°.
Now,
a) In triangle OAD,
⇒ OA=OD (same radius)
And, Angels opposite to equal sides are equal.
Hence, We get;
⇒ ∠CAD= ∠ODA
⇒ ∠ CAD = 42°
b) We have;
⇒ ∠B =90 (Angle subtended by diameter)
Hence, By using angle sum property in ΔABC,
⇒ ∠ BAC + ∠ACB + ∠B = 180°
⇒ 24 + ∠ACB + 90° = 180°
⇒ ∠ ACB = 66°
c) In ΔOAD,
⇒ ∠AOD = 180 - (42 + 42) ( By using angle sum property)
= 96
And, Angle subtended by an arc at center is double the angle subtended.
Hence, We get;
⇒ ∠ACD = 1/2 ∠AOD
= 1/2 × 96
= 48°
Hence, We get;
⇒ ∠ BCD = 48° + 66°
= 114°
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10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
O A.3
O B.4
O C.5
O D.8
Answer:
A. 3
Step-by-step explanation:
Let the integers be
x
(x+1)
(x+2)
(x+3)
Sum the integers
We have,
x+(x+1)+(x+2)+(x+3)=18
x+x+1+x+2+x+3=18
4x+6=18
Subtract 6 from both sides
4x-6=18-6
4x=12
Divide both sides by 4
4x/4=12/4
x=3
The smallest integer which is x is equal to 3
Check:
3+4+5+6=18
helppppp me answer this plz
Answer:
Green: 50%
Purple: 25%
Black: 25%
Step-by-step explanation:
Well, the circle has 4 equal sections.
2 are green
1 is purple
1 is black
To find the probability of the spinner landing on each section we make a fraction.
Green)
2/4 simplified,
1/2, as a percent is 50%
Purple)
1/4,
1 divided by 4 = .25
To make that into a percent we move the decimal 2 places to the right -> 25%
Black)
1/4
1 divided by 4 = .25 as a percent 25%
Given that P(B|A)=0.88 and P(A)=0.46, what is P(B AND A)? Round to three decimal places.
===============================================
Work Shown:
The notation P(B|A) has a vertical line separating the B and A
Given values
P(B|A) = 0.88P(A) = 0.46----------
P(B|A) = P(B and A)/P(A) ... conditional probability formula
P(B and A) = P(B|A)*P(A) ... solve for P(B and A)
P(B and A) = 0.88*0.46 ... plug in given values
P(B and A) = 0.4048
P(B and A) = 0.405 .... rounding to three decimal places
This is the same as P(A and B).
which best describes the main source of energy in the united states
Answer: B) Culture B
Step-by-step explanation:
As culture B doubles every hour you would have over 2.6 million by hour 18, far, far more than culture A, which increases by 1.5x each hour, that would only become 1.4 million.
-1 2/3 divided by (-2 1/5)
Answer:
25/33
Step-by-step explanation:
-1 2/3 ÷ ( -2 1/5)
Change from mixed number to improper fraction
- ( 3*1 + 2) /3 ÷ - ( 5*2+1) /5
-5/3 ÷ -11/5
Copy dot flip
-5/3 * -5/11
25/33
12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)
Answer:
-1 10/17
Step-by-step explanation:
Answer:
y = 1 10/17
Step-by-step explanation:
The LCD is 9y. Multiply all three terms by 9y:
(9y)(12) (9y)(4)
----------- + 8(9y) = -----------
y 9
This reduces to 108 + 72y = 4y, or 108 = -68y
Dividing both sides by 68, we get y = 1 10/17
I NEED THIS DONE ASAP!!!! WILL MARK BRAINLIEST
Answer:
The lines are NOT perpendicular because the slopes are not negative reciprocals.
Step-by-step explanation:
For two lines to be parallel, they must have the same slopes. For two lines to be perpendicular, they must be negative reciprocals.
In this case, the two slopes are simply reciprocals; they are not negative reciprocals. And so, the lines are NOT perpendicular because the slopes are not negative reciprocals.
Hope this helps!
06.10 Module Six Practice Test
Est. Length: 2:00:00 Wyatt Stewart: Attempt 1
What is the value of the expression 22 +42 = 22? (1 point)
O 1) 3
O2) 6
0 3 8
04) 16
Answer: 04) 16
Step-by-step explanation:
The given expression is : [tex](22+42)\div2^2[/tex]
Since [tex]22+42=64[/tex]
and
[tex]2^2=2\times2=4[/tex]
So, by using these values the given expression will become
[tex](22+42)\div2^2=64\div 4 =16 \ \ \ [\text{As }16\times4=64][/tex]
Thus, the value of the expression [tex](22+42)\div2^2[/tex] is 16.
Hence, the correct option is "04) 16."
Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20.
Answer:
20
Step-by-step explanation:
12/5 means roughly 2 cards per week
In 4 weeks he would get 8 additional cards
12+8=20
Hope this help!
Can I pls have help with question 8 and 9
Answer:
2.88 kilometers
Step-by-step explanation:
8. If the round trip took 17/20 of an hour.
How long does it take in minutes?
1 hour=60 minutes
17/20*60
=17*3
=51 minutes
9. Calculate the distance between the supermarket and Hilary's house
Speed=distance/time
Distance=speed × time
Total speed=30km/h+12km/h
=42km/h
Total time=17/20 hour
Time spent for 30km/h=30/42*17/20
=510/840
=0.61h
Time spent for 12km/h=12/42*17/20
=204/840
=0.24h
Supermarket to Hilary's house=12km/h
Distance=speed × time
=12×0.24
=2.88 kilometers
14. Mike is riding his bike at 15 miles per
hour. (1.2)
a. What is his speed in feet per second?
(Use 5280 feet in each mile)
b. If John is riding at 25 feet per second,
who is riding faster, explain how you
know?
I
Answer:
a) 1320 feet
b) John
Step-by-step explanation:
a) 15/60 miles per minute = 1/4 mile per minute
1/4*5280= 1320 foot per min
------------------------------------------------------
25 feet per sec---------> 60*25 feet per min = 1500 feet per min
so john is faster
Help pleaseeeeeeeeeeeeee and write it descriptively
Answer:
14) [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)
15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")
16) 5p-2 (same concept as No.15)
17) 7+r ( add 7 with "r")
18) s+7 (same concept with No.18)
19) t-10 (subtract 10 from "t")
20) 10-u ( subtract "u" from 10)
21) 2v ( multiply 2 with v)
22) 2w (same concept as No.21)
23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)
24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)
Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).
A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2) How does the slope of g(x) compare to the slope of f(x)? The slope of g(x) is the opposite of the slope of f(x). The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). The slope of g(x) is equal to the slope of f(x). ALSO ITS NOT A NUMBER ANSWER
Answer:
Option B.
Step-by-step explanation:
If a line passing through two points, then the slope of line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that f(x) passing through the points (0,-2) and (1,1). So, slope of f(x) is
[tex]m_1=\dfrac{1-(-2)}{1-0}=1+2=3[/tex]
It is given that g(x) passing through the points (-4,0) and (0,2). So, slope of g(x) is
[tex]m_2=\dfrac{2-0}{0-(-4)}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Since, [tex]\dfrac{1}{2}<3[/tex], therefore [tex]m_2<m_1[/tex].
The slope of g(x) is less than the slope of f(x).
Therefore, the correct option is B.
Solve for x 4 ( x + 3 ) < 3 ( x + 5 )
Answer: x < 3
Step-by-step explanation:
4(x + 3) < 3(x + 5)
4x + 12 < 3x + 15 Distributed
x + 12 < 15 Subtracted 3x from both sides
x < 3 Subtracted 12 from both sides
Answer:
4x^2+9x-15<0
Step-by-step explanation:
x.4(x+3)<3(x+5)
(4x)(x+3)<3x+3x5
(4x)(x+3)<3x+15
4xx+4x.3<3x+15
4x^1+1+4x3x<3x+15
4x^2+12x<3x+15
(4x^2+12x)+(-3x-15)<(3x+15)+(-3x-15x)
4x^2+9x-15<3x-3x+15-15
4x^2+9x-15<0
the graph of y=f(x) is shown on the grid
Answer:
look below
Step-by-step explanation:
The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).
What is a function?A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.
We know when we rotate a function along the y-axis sign of x changes.
Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)
and if the given function is odd f(-x) becomes -f(x).
Also given that the maximum point of f(x) = (3, 4).
∴ Function g(x) will have maximum at coordinates (-3, 4).
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