Answer:
5/3 or 0.666666666667
Step-by-step explanation:
2/3*(-2)+3
5/3 or 0.666666666667 (Solved by calculator)
18. (a)
A football club sells tickets at different prices dependent on age group.
The table shows the football ticket prices for the different age groups.
Price Age:
Under 18 = $15
18 to 60 = $35
Over 60 = $18
At a particular game there were 42 600 tickets sold.
14% were sold to people aged under 18
2/3 of the tickets were sold to people aged 18 to 60
The remainder were sold to people aged over 60
Answer:
5,964 people are under 18 , 400 people are aged 18 to 60 , 8,236 people are over 60
Step-by-step explanation:
42 , 600 x 14/100 = 5,964 people are under 18
42,600 x 2/3 = 28 , 400 people are aged 18 to 60
The remaining over 60 = 42 , 600 - (5,964 + 28400)
42,600 - 34,364 = 8,236 people are over 60
Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
Given:
The vertices of a quadrilateral ABCD are A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
To find:
The perimeter of quadrilateral ABCD.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]AB=\sqrt{(4-0)^2+(1-4)^2}[/tex]
[tex]AB=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]AB=\sqrt{16+9}[/tex]
[tex]AB=\sqrt{25}[/tex]
[tex]AB=5[/tex]
Similarly,
[tex]BC=\sqrt{(1-4)^2+(-3-1)^2}[/tex]
[tex]BC=5[/tex]
[tex]CD=\sqrt{(-3-1)^2+(0-(-3))^2}[/tex]
[tex]CD=5[/tex]
And,
[tex]AD=\sqrt{(-3-0)^2+(0-4)^2}[/tex]
[tex]AD=5[/tex]
Now, the perimeter of the quadrilateral ABCD is:
[tex]P=AB+BC+CD+AD[/tex]
[tex]P=5+5+5+5[/tex]
[tex]P=20[/tex]
Therefore, the perimeter of the quadrilateral ABCD is 20 units.
f () = 6x + 4. Find the inverse of f(x).
Answer:
F-1 (x)=1/6x-2/3
Step-by-step explanation:
Use substitution, Interchange the variables, Swap the sides, movthe constant to the right, Divide both sides, Use substitution, and youll find your solution. By the way the -1 is in scientific notation!
if f(r)= 3.14 r^2 what is f(3)
Answer:
f(3) = 28.26
Step-by-step explanation:
Substitute r = 3 into f(r) , that is
f(3) = 3.14 × 3² = 3.14 × 9 = 28.26
(9-3)+18÷8
show your work
Answer:
(9-3)+18÷8
=6+ 9/4
Step-by-step explanation:
.............
Answer:
8.25
Step-by-step explanation:
(9-3) + 18 ÷ 8
6 + 18 ÷ 8
6 + 2.25
8.25
I hope it helps ^_^
Find the measure of Angle B
Answer:
45
Step-by-step explanation:
Both angles have the same value, therefore, you can set your formula up as
5x-105=2x+30
5x = 2x + 30 + 105
5x - 2x = 135
3x = 135
x = 135/3
x = 45
Match the measures of each angle
What is the value of x in the equation 0.7x – 1.4 = –3.5?
1. -7
2. -3
3. 7
4. 3
Answer:
the answer is -3
Step-by-step explanation:
0.7x - 1.4 = -3.5
add 1.4 to both sides of the equation
you're left with 0.7x = -2.1
then divide both sides by 0.7
you're left with your answer of -3
help me pllllllssssssssssssss
d, because the plastic has a difference of 2000 with respect to food
What is the volume of the cone to the nearest whole number?
Answer:
the volume of the cone is 60
Step-by-step explanation:
12×5=60
Drag the operator to the correct location on the image.
Which operation results in a binomial?
The correct answer is to drag The Plus sign (+)
What is an Operator?This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.
Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.
Read more about operators here:
https://brainly.com/question/25974538
#SPJ2
Answer:.
Step-by-step explanation:
Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.
True
False
Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.
You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.
Express tan J as a fraction in simplest terms
Answer:
3/4
Step-by-step explanation:
tangent is opp/ad
so that is 15/20, or 3/4
If a = 7, what is the value of the expression 2(a + 8)?
Answer:
[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]
please mark as brainliest
Which of the following is a correct tangent ratio of the figure?
tan 72°= 58/19
tan 19° =58/72
tan 58° = 72/19
tan 72 = 19/52
Answer:
tan 72°=58/19
Step-by-step explanation:
i think this is the right answer
find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle
Answer:
First angle: 60°
Second angle: 30°
Step-by-step explanation:
Let the two angles be signified by the variables x & y.
Let the first angle = x, and the second angle = y.
It is given that:
"The measure[ments] of the complementary angles...": x + y = 90°
"The measure of the first angle is 30 greater than the measure of the second angle": x = y + 30°
Use the system of equations. Plug in y + 30 for x in the first equation:
(y + 30) + y = 90
Combine like terms:
(y + y) + 30 = 90
2y + 30 = 90
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 30 from both sides of the equation:
2y + 30 (-30) = 90 (-30)
2y = 90 - 30
2y = 60
Next, divide 2 from both sides of the equation:
(2y)/2 = (60)/2
y = 60/2
y = 30°
Plug in 30 for y in one of the equations:
x = y + 30
x = (30) + 30
x = 60°
Your answers:
First angle: 60°
Second angle: 30°
Solve the formula c = pi d for d
A. d = pi c
B. d = c/pi
C. d = c - pi
D. d = pi/c
Answer:
B
Step-by-step explanation:
C=pi×d
C÷pi = Pi×d÷Pi
C/pi=d
Answer:
B
Step-by-step explanation:
Given
C = πd ( isolate d by dividing both sides by π )
[tex]\frac{C}{\pi }[/tex] = d
El ministerio de educación publicó los resultados obtenidos por los colegios en la última prueba icfes saber 11. En el colegio San estaban el promedio de los estudiantes en la prueba de razonamiento cualitativo fue de 75,8 ¿ que significa este resultado?
Answer:
El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.
El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.
Step-by-step explanation:
El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.
El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.
A tortoise moves forward 15 meters in one hour. It turns around and crawls 10 meters in the
next hour. Finally, in the third hour, it turns around again and crawls 8 more meters. How
much did the tortoise walk in total in 3 hours?
Answer:
Below.
Step-by-step explanation:
15+10+8=33.
Answer:
13 meters
Step-by-step explanation:
It went 15 meters, but then it went back 10 meters.
[tex]15-10=5[/tex]
Then it went 8 more meters.
[tex]5+8=13[/tex]
Hope this helped! Please mark brainliest :)
What percent of the trees sampled were less than 75 ft tall?
Answer:
D
Step-by-step explanation:
Answer:
B=45
Step-by-step explanation:
Please help me with this.
I need a maths genius
See pic below.
Thanks
Answer:
a =15
b=70
c=400
d=1500
e=5300
Step-by-step explanation:
it will help u
A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island
Answer:
8.4 miles
Step-by-step explanation:
Given that :
Total time taken = 78 minutes = 78/60 = 1.3 hours
To Speed = 14 mph
Fro Speed = 12 mph
Let the distance be represented as, d
Distance = speed * time
Time = distance / speed
To time + Fro time = 1.3 hours
d / 14 + d / 12 = 1.3 hours
Take lcm of 14 and 12 ; = 84
(6d + 7d) / 84 = 1.3
13d /84 = 1.3
13d = 1.3 * 84
13d = 109.2
d = 109.2 / 13
d = 8.4 miles
The distance is 8.4 miles
what is the equation of the parabola?
What is the phase shift of F(x) = 3 sin(2x - 4)?
Answer:
2
Step-by-step explanation:
Use the form asin(bx−c)+d
a=3
b=2
c=4
d=0
Phase Shift: c/b
Phase Shift: 4/2 = 2
Martin was selling tickets for a basketball game in a high school. He sold 1,250 tickets and the total amount collected for the game was $2,750. The student tickets cost $2 each, and adult tickets cost $3 each. How many student and adult tickets were sold?
Answer:
x = number of students tickets = 1,000
y = number of adults tickets = 250
Step-by-step explanation:
Let
x = number of students tickets
y = number of adults tickets
x + y = 1,250 (1)
2x + 3y = 2,750 (2)
Multiply (1) by 2
x + y = 1,250 (1) * 2
2x + 2y = 2,500 (3)
2x + 3y = 2,750 (2)
Subtract (3) from (2) to eliminate x
3y - 2y = 2,750 - 2,500
y = 250
Substitute y = 250 into (1)
x + y = 1,250
x + 250 = 1,250
x = 1,250 - 250
x = 1,000
x = number of students tickets = 1,000
y = number of adults tickets = 250
Find sin 0. Please and thank you
Answer:
the correct answer is C....I hope
The following are the last 10 run scores Colin got in cricket:
28, 13, 4, 12, 32, 22, 13, 22, 26, 32
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 16 runs.
What is his new mean score?
Give your answers as decimals.
Answers:
a) Mean = 20.4b) New mean = 20==================================================
Explanation:
To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)
28+13+4+12+32+22+13+22+26+32 = 204
204/10 = 20.4
The mean is 20.4
------------
For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.
28+13+4+12+32+22+13+22+26+32+16 = 220
220/11 = 20
The new mean is 20.
The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.
solve: 7m + 12 = −4m + 78
7m + 12 = -4m + 78
7m + 4m = 78 - 12
11m = 66
m = 6
I hope you understand...
Mark me as brainliest...
Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)
Answer:
10cm2
Step-by-step explanation:
A=1÷2×4×5=10cm2
The two figures shown are congruent. Which statement is true?
A). One figure is a translation image of the other.
B). One figure is a rotation image of the other.
C). Neither figure is a translation or rotation image of the other
Answer:
C
Step-by-step explanation:
They are the same without rotation and translation
