Answer:
8. Number of student tickets = 460
Number of teacher tickets = 100
9. Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
Step-by-step explanation:
8.
Let number of students' tickets = [tex]x[/tex]
Let number of teachers' tickets = [tex]y[/tex]
Total number of tickets = 480
[tex]x+y=480[/tex] ...... (1)
Price for one student's ticket = $1
Price for one teacher's ticket = $5
Total money collected by the tickets = $560
[tex]x +5y = 560[/tex] ...... (2)
Subtracting (1) from (2):
[tex]4y = 80\\\Rightarrow y = 20[/tex]
By equation (1):
[tex]x = 460[/tex]
Number of student tickets = 460
Number of teacher tickets = 100
9.
Let the speed of airplane in still air = [tex]u[/tex] km/hr
Let the speed of air = [tex]v[/tex] km/hr
Total distance = 5432 km
Time taken with the wind = 7 hours.
Speed with the wind = [tex]u+v[/tex] km/h
Time taken against the wind = 8 hours.
Speed with the wind = [tex]u-v[/tex] km/h
Using the formula:
Distance = Speed [tex]\times[/tex] Time
[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]
[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]
Adding (1) and (2):
[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]
By equation (1):
[tex]v = 48.5\ km/hr[/tex]
Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?
A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters
Answer:
The correct answer is;
A(n) = 12 + (n-1)11; 166 millimeters
Step-by-step explanation:
Here, we want to write a rule representing the growth
From the question, we can see that the rate of growth is ;
34-23 = 23-12 = 11
This means it grows at a rate of 11 mm per day
So on the 15th day, its height will be;
We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference
The nth term An can be represented as;
An = a + (n-1)d
where a = 12 mm , n = 15 and d = 11 mm
Thus, we have
An = 12 + (15-1)11
An = 12 + 154
An = 166 mm
Please answer this question.
Answer:
C) 78
Step-by-step explanation:
its technically 77.5714... but rounds to 78, hope that helps
Answer:
It is 78 because when placed in numerical order it is in the middle
Does anyone know how to do this?
Answer:
y= Ix-3I (that says absolute value btw)
Step-by-step explanation:
This is the result of starting with y = |x|, then shifting it three units to the right. Replacing x with x-3 moves the xy axis three units to the left, giving the illusion the V shaped curve moved 3 spots to the right.
We don't shift up or down since the vertex is on the x axis.
We also don't vertically compress or stretch the graph either.
Side note: the vertex for this graph is (3,0) which is the lowest point of the curve.
*EASY* Solve with steps! *WILL MARK BRAINLIEST*
Answer:
OK I will If u need any math help just ask me!!
Step-by-step explanation:
Have a wonderful day!!!
Answer:
i can help you with math i have an A+ currently and i would love yo help you. have a good day!
Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem
ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Given,
m∠H = 30°
m∠J=50°
m∠P=50°
m∠N=100°
In triangle ΔHKJ
m∠H = 30°
m∠J=50°
m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)
m∠K= 100°
In ΔHKJ and ΔLNP,
m∠J = m∠P= 50°
m∠K= m∠N= 100°
According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.
Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.
Hence, ΔHKJ ~ ΔLNP
learn more about similar triangle
https://brainly.com/question/25882965
Find the measure of each acute angle.
(3x + 2)∘ = and x∘ =
Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)
Thus:
[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)
Solve for the value of x[tex]x + 3x + 2 + 90 = 180[/tex]
Add like terms[tex]4x + 92 = 180\\\\[/tex]
Subtract 92 from each side[tex]4x = 180 - 92\\\\4x =88[/tex]
Divide both sides by 4x = 22
Measure of one of the acute angles is 22 degrees.
To find the second acute angle measure, substitute the value of x
3x + 2 = 3(22) + 2 = 68 degrees
Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
Learn more here:
https://brainly.com/question/347922
In a sale the price of a sofa is reduced by 70%. The price is £255 Work out the price before the sale
Answer:
850
Step-by-step explanation:
850*0.3=255
ok so tomorrow i have exams omg haha im so scareddd!!!!!
Answer:
Best of luck! I hope your exam goes well!!!
What function equation is represented by the graph?
f(x)=−4x−3
f(x)=1/4x−3
f(x)=−1/4x−3
f(x)=1/4x+3
Answer:
f(x)=1/4x-3
Step-by-step explanation:
y=mx+b
y-intercept is -3
-3=b
rise over round to find the slope
up 1 over 4
m=1/4
Three ballet dancers are positioned on stage. Greta is straight behind Bryan and directly left of Alice. If Bryan and Greta are 12 meters apart, and Alice and Bryan are 13 meters apart, what is the distance between Greta and Alice?
Answer:
12
Step-by-step explanation:
helpmepleasethankyou:)
Answer:
Step-by-step explanation:
If we take 1 cup of Original purple paint,
Ratio of blue and red paint = 2 : 3
Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups
Similarly, ratio of blue and red paint in the New purple paint = 5 : 7
If we take 1 cup of New purple paint,
Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups
Therefore, shade of both the mixtures will not be same.
Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.
-4x -2y = -12
4x + 8y = -24
x= 6 and y= -6
Step-by-step explanation:
Answer:
x = 6, y = -6
Step-by-step explanation:
After adding the equations together, the 4x and -4x cancel each other out. This makes our new equation:
6y = -36
Divide both sides by 6
y = -6
Plug -6 into y in one of the equations
4x + 8y = -24 =
4x + 8(-6) = -24 =
4x - 48 = -24
Add 48 to both sides
4x = 24
Divide both sides by 4
x = 6
BRAINIST & 20 POINTS
*random answers will be reported*
Answer:
(0, 13)
Step-by-step explanation:
The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.
2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).
So 1 space left from the midpoint is 1-1=0.
For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.
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Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days
to find the number of subscribtion sold we divide the money she made by the price of subscription
monday:
42.80/5.35=8 subscriptions sold
tuesday:
64.20/5.35=12 subscriptions sold
wednesday:
74.90/5.35=14 subscriptions sold
8+12+14=34 subscriptions sold in 3 days
Answer:
34 subscriptions she sold
Can anybody help with this?
Answer:
12
Step-by-step explanation:
Because < this means less than. So therefore 5 is less than 12
Circle theorems maths... Please help me!
Answer:
m = n = 14°
Step-by-step explanation:
The angle at the centre is twice the angle at the circumference subtended on the same arc.
angle at circumference = 0.5 × 98° = 49°, then
35° + m = 49° ( subtract 35° from both sides )
m = 14°
Angles subtended on the same arc are congruent.
m and n are 2 such angles, thus
n = m = 14°
The blue and orange lines represent a system. Use the sliders to manipulate the orange line to determine which equations would create a system that has no solution. Check all that apply. Hint: Convert to slope-intercept form.
2x + y = –5
y – 3 = 2x
x + y = –2
–2x = y
2x = 4 – y
Answer:
A) 2x + y = -5
D) -2x = y
E) 2d = 4 - y
Step-by-step explanation:
Answer:
The answers you are looking for is.... A) 2x + y = -5
D) -2x = y
E) 2d = 4 - y
Step-by-step explanation:
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.
Answer:
(4,-2.5)
Step-by-step explanation:
because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point
Answer:
-3,-4.5
Step-by-step explanation:
Identify a pair of perpendicular lines in the given figure.
Question 1 options:
p and t
q and t
s and t
p and q
Which graph represents the inequality? 2x+y>4
m=-2
b=4
Slope=-2x+4
y<-2x+4
The following is a list of heights for 6 six-year-olds.
50 inches, 47 inches, 36 inches, 42 inches, 47 inches, 45 inches
The median height for these children is 46 inches.
What would happen to the median height if the 50-inch measurement was changed to 47 inches?
A. The median would increase.
B. The median would decrease.
C. The median would stay the same.
D. The median would decrease, then increase.
Answer:
option b the median would decrease
Im really confused bc ive tried everything and i cant figure this out
-3 7/10 = -3/-4y
its a rational equation
Answer:
y = - [tex]\frac{15}{74}[/tex]
Step-by-step explanation:
Given
- 3 [tex]\frac{7}{10}[/tex] = [tex]\frac{-3}{-4}[/tex] y = [tex]\frac{3}{4}[/tex] y ( change the mixed number to an improper fraction )
- [tex]\frac{37}{10}[/tex] = [tex]\frac{3}{4}[/tex] y
Multiply through by 20 ( the LCM of 10 and 4 )
- 74 = 15y ( divide both sides by 15 )
- [tex]\frac{74}{15}[/tex] = y
What is the value of x?
A 42
В.50
C. 68
D. 70
Chris's age is 17 more than one-fourth of Brian's age. How old is Chris if Brian is 27?
Answer:
23.75
Step-by-step explanation:
Given that:
Brian's age = 27
Age of Chris is 17 more than one - fourth of Brian's age.
To find:
Age of Chris = ?
Solution:
Let age of Chris = [tex]x[/tex]
One - fourth of Brian's age = [tex]\frac{27}{4}[/tex]
17 more than One - fourth of Brian's age = [tex]\frac{27}{4}[/tex] + 17
Therefore, we can write the equation as per question statement:
[tex]x = \frac{27}{4} + 17\\\Rightarrow x = 6.75+17\\\Rightarrow \bold{x = 23.75}[/tex]
Therefore, Chris is 23.75 years old if Brian is 27.
Which of the following equations Are a linear function.
Answer:A IS THE LINEAR FUNCTION
Step-by-step explanation: NO NEED FOR EXPLANATION
What is the value of b?
Answer:
128
Step-by-step explanation:
Add the two numbers then subtract from 360
could you answer this question cause i need it for math
Step-by-step explanation:
5p/7-18=-43
5p/7=-43+18
5p/7=-25
5p=-25×7
5p=-175
p=-175/5
p=-35
not sure lol
Answer:
5p/7 = -43+18
5p/7 = -25
5p= -25*7
p = -35
Step-by-step explanation:
Pls help I need to finish this
Answer:
Check box 4 and 5
Step-by-step explanation:
We know there can only be up to 2 solutions for a quadratic equation.
5x^2-2x-9=0 is your equation, make sure to move that 1 to the left
Now we can use the quadratic formula
a=5
b= -2
c= -9
x= −1.15647
x=1.55647
Thus I would select the last 2 boxes. Both of them are solutions.
I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Answer: 6
Step-by-step explanation:
Let the number be x
If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:
(2 × x) + 5 = (3 × x) - 1
2x + 5 = 3x - 1
5 + 1 = 3x - 2x
x = 6
The number you are thinking of is 6
A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90° angles, what is the measure of the missing corner?