Answer:
The number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.
Step-by-step explanation:
Let [tex]P_0[/tex] be the total number of peoples on the bus before 2:30 stop.
For the first stop at 2:30:
The bus let off 13 people, so, the total number of remaining people on the bus [tex]= P_0-13[/tex]
again, the bus let on 8 people, so, the total number of people on the bus
[tex]= P_0-13+8[/tex]
[tex]=P_0-5[/tex]
For the second stop after 10 minutes (i.e at 2:40):
The bus let off 3 people, so, the total number of remaining people on the bus [tex]= P_0-5-3[/tex]
[tex]=P_0-8[/tex]
After the second stop, the number of people on the bus is [tex]P_0-8[/tex], where P_0 number of peoples on the bus before 2:30 stop.
Hence, the number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.
how many quarters make 40 dollars
can you work it out with quarters
help me please help me please help me please
Given problem;
Number of quarters in $40;
To solve this problem;
Convert the dollar value to cents;100cents = $1
In $40, we would have; 40 x 100 = 4000cents
1 quarter = 25 centsSo, divide 4000cents by 25 to obtain the number of quarters in that amount of dollars;
Number of quarters = [tex]\frac{4000}{25}[/tex] = 160
So there are 160 quarters in $40
need help, please kfvleknfv
Problem 18
Answers:
~P -> Q: "if it is not fall, then the leaves change colors"
~P -> ~Q: "if it is not fall, then the leaves don't change colors"
P -> ~Q: "If it is fall, then the leaves don't change colors"
Q -> ~P: "If the leaves change colors, then it is not fall"
----------
Explanation:
Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.
==========================================
Problem 19
Answer: Choice A) 134
----------
Explanation:
AB = CD
8x = 4x+24
8x-4x = 24
4x = 24
x = 6
BC = 18x+26
BC = 18*6+26
BC = 134
==========================================
Problem 20
Answer: Choice C) x = 5 and y = 11
----------
Explanation:
(anglePQR)+(angleRQS) = 90
(12x-2)+(6x+2) = 90
18x = 90
x = 5
angle TQU = 90
10y-20 = 90
10y = 110
y = 11
==========================================
Problem 21
Answer: 99
----------
Explanation:
The remote interior angles add to the exterior angle (remote interior angle theorem)
(angle RPQ) + (angle PQR) = angle PRS
(3x-29) + (7x-42) = 6x-3
10x-71 = 6x-3
10x-6x = -3+71
4x = 68
x = 68/4
x = 17
angle PRS = 6x-3
angle PRS = 6*17-3
angle PRS = 99
==========================================
Problem 22
Answer: 116
----------
Explanation:
Refer to the diagram below.
Solve 105+x = 180 to get x = 75
Solve 135+y = 180 to get y = 45
Solve x+y+z = 180 to get z = 60
Solve z+82+p = 180 to get p = 38
Solve p+78+q = 180 to get q = 64
Solve q+r = 180 to get r = 116
==========================================
Problem 23
Answer: B) between 4 and 44 inches
----------
Explanation:
We use a variation of the triangle inequality theorem here.
If p is the missing side length, then
24-20 < p < 24+20
4 < p < 44
So,
4 < XY < 44
The side XY cannot be 4 inches and it cannot be 44 inches either.
==========================================
Problem 24
4 Answers: A, B, C, D
----------
Explanation:
Same idea as problem 23
24-10 < x < 24+10
14 < x < 34
So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26
In other words, only 12 and 34 are non-answers.
==========================================
Problem 25
Answer: C) 84 degrees
----------
Explanation:
The given exterior angle is 152 degrees
Subtract that from 180 to get the adjacent interior angle 180-152 = 28
Now let's find the missing angle of triangle DEB
D+E+B = 180
28+68+B = 180
96+B = 180
B = 180-96
B = 84
This is the measure of angle DBE
This is also the measure of angle ABC because the two angles are vertical angles.
Vertical angles are always congruent.
its in the linked picture
7x =6x-9 ....I’m just confused on how it works still
Answer:
x = -9
Step-by-step explanation:
7x = 6x - 9
-6x -6x
x = -9
Write the equation of the line whose slope and the point through which it passes are given. Express
the equation in point-slope form.
(4,0) and slope m=-7
Answer:
[tex]y-0=-7(x-4)[/tex]
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
[tex]y-k=m(x-h)[/tex]
Where m is the slope and (h,k) is a point through which the line passes.
The line passes through the point (4,0) and has a slope of -7. The equation of the line is:
[tex]y-0=-7(x-4)[/tex]
This is the point-slope form of the line.
If f(x) = {(-2, -3), (3, -4), (0, -1), (-7,3)}, which set of ordered pairs
represents the inverse of f(x)?
A. {(-3,-2), (-4,3), (-1,0), (3, -7)}
O B. {(-2, -3), (3, -4), (0, -1), (-7,3)}
O C. {(2,3), (-3, 4), (0, 1), (7, -3)}
D. {(3, 2), (4, -3), (1, 0), (-3, 7)}
Answer:
Answer is A
Step-by-step explanation:
At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of brownies to donuts? Write your answer as a simplified fraction.
Answer:
22/21............
............
The ratio of brownies to donuts 22:21.
Given that, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, ratio to cakes and donuts = 2:7
Ratio to brownies to cakes = 11:3
Multiply 3 to the ratio 2:7. That is 6:21.
Multiply 2 to the ratio 11:3. That is 22:6.
So, the ratio of brownies to donuts 22:21
Therefore, the ratio of brownies to donuts 22:21.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
#SPJ2
30 Points, Will mark Brainliest' !
The values in the table represent a linear function.
What is the function rule?
Write the rule in function notation, using the slope-intercept form of a line.
Enter your answer in the box.
F(x)= ____
Answer:
f(x) = 4x - 3Step-by-step explanation:
Given the table of domain and range
Using the points, lets find the slope-intercept form
y = mx + bThe slope
m = (5-1)/(2-1) = 4/1 = 4y-intercept
5 = 4*2 + bb = 5 -8b = -3So the function is
y = 4x - 3orf(x) = 4x - 3The straight line distance between two cities A and B is 223 km. The straight line distance between cities A and C is 152 km. The straight line distance between cities B and C is 285 km. Find the measure of the angle when standing at city C between the lines of sight to cities A and B.
Answer:
Angle between the lines of sight to A and B = 50.94°
Step-by-step explanation:
Distance between the cities A and B = 223 km
Distance between the cities B and C = 285 km
Distance between the cities A and C = 152 km
By applying cosine rule in triangle ABC,
AB² = AC² + BC² - 2(AC)(BC)CosC
(223)² = (152)² + (285)² - 2(152)(285)CosC
49729 = 23104 + 81225 - (86640)CosC
CosC = [tex]\frac{54600}{86640}[/tex]
CosC = 0.630194
C = [tex]\text{Cos}^{-1}(0.630194)[/tex]
C = 50.94°
Therefore, angle between the lines of sight to cities A and B is 50.94°
What is the unit rate of (0,0) (6,8)
Answer:
4/3.
Step-by-step explanation:
Unit rate is the same as slope. In order to find the slope, we are going to use this formula:
m = y2 - y1 / x2 - x1
Now, we substitute the numbers into the equation:
m = 8 - 0 / 6 - 0
m = 8/6
m = 4/3
Therefore, the unit rate is 4/3.
Question 1 (2 points)
Your math class just went from 32 students to 24 students because some kids left to join a real life Fortnite
tournament. What is the percent of decrease?
0 а
8%
Ob
20%
Ос
25%
Od
40%
PLSSS HELPP
Answer:8
Step-by-step explanation:
What is the missing length of this rectangle?
Answer:
4yd
Step-by-step explanation:
11 (bottom length) - 7 = 4
Make a table of ordered pairs for the equation y=-1/3x+1
Answer:
(0, 1)
(3, 0)
(6, -1)
(9, -2)
In right triangle ABC, angle A= 90 degree, and AB = BC ,Find angle B, angle C
Answer:
b=45 c=45
Step-by-step explanation:
.. What type of number is the following?
24i+16
A. Real
B.purely
C.complex
D. Not enough information
Answer:
Step-by-step explanation:
The i is usually the square root of -1 which does not exist in the real number system.
The number given is a mixture of real and complex and is classified as complex.
The answer is C
Answer:
the answer is: C,Complex
Step-by-step explanation:
Complex Numbers
A Complex Numbers is a combination of a real number and an imaginary number in the form a + bi. The real part is a, and b is called the imaginary part.
Examples include 4 + 6i, 2 + (-5)i, (often written as 2 - 5i), 3.2 + 0i, and 0 + 2i.
Note the last two examples:
3.2 + 0i is just the real number 3.2. All real numbers are complex numbers with zero for the imaginary part.
0 + 2i is just the imaginary number 2i. All imaginary numbers are complex numbers with zero for the real part.
I hope it helps you lot!!!
QUESTION 4, Saturday, October 10th, 2020
I have some geometry questions today. Please include your thoughts or reasoning with your answer. Thanks!
Answer:
Hi in my opinion option A SSS isda answer
Answer:
Not congruentStep-by-step explanation:
There is no enough evidences of congruence
2 sides don't guarantee the third side or angle between them
Also the triangles are not right triangles
Eric is swimming along the surface of the sea. He uses positive numbers to represent elevations above the surface of the sea and negative numbers to represent depths under the surface of the sea. Mark is sitting on the deck of a ship above Eric , and Ariel is diving beneath Eric. Who could be at an elevation of -3 m?
Answer:
Ariel will be at an elevation of -3 m.
Step-by-step explanation:
There are three persons Eric, Mark and Ariel.
Location of these persons are,
Mark - Sitting at deck (Above the sea level)
Eric - swimming along the surface (At the sea level)
Ariel - diving beneath Eric (Below the sea level)
Since, all the distances above the sea level are measured with positive notation and below the sea level with negative.
Ariel will be at an elevation of -3 m.
Answer:
Ariel
Step-by-step explanation:
khan says so
Six times a number plus 3 equals three times the same number minus
nine. What is the number? Hint: Let x= a number. Create the expression for
the other number based on the information
in the word problem.
Answer:
x = -4
Step-by-step explanation:
Six times a number plus 3 equals three times the same number minus
nine. This equation is 6x + 3 = 3x -9. Next, solve this equation and you get -4. Plug in -4 for x and you should get -21 on both sides.
Negative three times a number increased by seven is less than -11.
Answer:
-3x+7<11
Step-by-step explanation:
I hope I helped you
41 = 5x + 35 and 3 = 4x + 10. Find the measure of x, 21 and 22.
1
2
3
4
6
5
8
7
Look : angle 1 + angle 3 = 180°
because it is a straight line.
Thus ;
[tex]5x + 35 + 4x + 10 = 180[/tex]
Simplification
[tex]9x + 45 = 180[/tex]
Subtract sides 45
[tex]9 x = 180 - 45[/tex]
[tex]9x = 135[/tex]
Divided sides 9
[tex] \frac{9}{9}x = \frac{135}{9} \\ [/tex]
[tex]x = 15[/tex]
So x = 15°
_________________________________
angle 1 = 5x + 35°
angle 1 = 5 ( 15 ) + 35°
angle 1 = 75° + 35°
angle 1 = 110°
_________________________________
angle 1 + angle 2 = 180°
110° + angle 2 = 180°
Subtract sides 110°
angle 2 = 180° - 110°
angle 2 = 70°
_________________________________
And we're done...♥️♥️♥️♥️♥️
Los profesores de un colegio tienen planeado mandar 6 boletines informativos al año a cada una de las 620 familias con estudiantes en el colegio. Cada uno de los boletines informativos necesita 2 hojas de papel. El papel se vende en resmas de 500 hojas. ¿Cuál es el número mínimo de resmas de papel necesarias para imprimir los boletines del colegio durante un año?
Answer:
14.88 resmas
Step-by-step explanation:
Los maestros de una escuela planean enviar 6 boletines al año a cada una de las 620 familias con estudiantes en la escuela.
Esto significa: El número total de boletines que recibe cada familia = 6 × 620 familias
= La escuela envía 3720 boletines cada año
Cada uno de los boletines necesita 2 hojas de papel.
1 boletín = 2 hojas de papel
3720 boletines =
Cruz multiplicar
3720 boletines × 2 hojas
= Se necesitan 7440 hojas de papel en un año
El papel se vende en resmas de 500 hojas.
¿Cuál es la cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año?
500 hojas de papel = 1 resma
7440 hojas de papel = y
Cruz multiplicar
500 × y = 7440 × 1
y = 7440/500
y = 14.88 resmas
La cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año es 1488 resmas
a store sells jump ropes. each jump rope costs the same amount. during a sale, the store reduces the price of each jump rope by $1.90. marc spends $12.78 on 2 jump ropes at the sale price. what was the price of 1 jump rope before the sale
Answer:
$8.29
Step-by-step explanation:
12.78÷2=$6.39
6.39+1.90=$8.29
Answer:
The answer to this is 8.29 because you divide the highest with 2 and then you get 6.39 then you + 2.90
Step-by-step explanation:
Dos agricultores, padre e hijo, tardan 2 horas entre los dos arar un campo. Si solo el padre tarda 6 horas. ¿Cuanto tardara el hijo?
Answer:
El hijo solo tardará 3 horas en arar el campo
Step-by-step explanation:
Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.
Queremos saber el tiempo que pasará el hijo si va a trabajar solo
Sea el área del campo x
La tasa de trabajo de ambos es x / 2
La tasa de trabajo del padre será x / 6 Deja que el tiempo que pasa el hijo sea y La tasa de trabajo del hijo es x / y
Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;
x / 6 + x / y = x / 2
Despegar x 1/6 + 1 /y = 1/2
1 / y = 1/2 - 1/6
1 / y= 1/3
entonces y = 3
El hijo solo tardará 3 horas en arar el campo.
solve for l:
p = 2(l +w)
Answer:
p=2/1
Step-by-step explanation:
Hope this helps ;)
y=4x-1
if the value of y is 1 what is x
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
So we are given the equation:
y = 4x - 1
and we are asked to find the value of x when the value of y is 1.
In other words, what is x when y = 1? To find this, we can plug in 1 for y and solve for x.
1 = 4x - 1
Now solve for x. Add 1 to both sides.
2 = 4x
Divide both sides by 4.
[tex]x=\frac{1}{2}[/tex]
So now we have found that when the value of y is 1, the value of x is 1/2.
I hope you find my answer and explanation to be helpful. Happy studying.
Can someone help me please.
Answer:
Lena's Method: 280Jackson's Method: 280Step-by-step explanation:
Lena's Method:
8 + 12 = 20Plug 20 in: 14(20)14(20) = 14 × 20 = 280Jackson's Method:
14 × 8 = 11214 × 12 = 168Re-write the expression: 112 + 168112 + 168 = 280I hope this helps!
can someone help me on this please? i just need the work and answer for balancing the equation
Answer:
Step-by-step explanation:
2x - 8 = 10
Bringing like terms on one side
2x = 10 + 8
2x = 18
x = 18/2 = 9
Answer:
x= 9 balance the equation
Step-by-step explanation:
2x-8=10 -------- equation (1)
2x=10+8 -------- equation (2)
2x=18
x = 9
let's put x = 9 into equation(2)
2(9) =10+8
18=18, x= 9 balance the equation
644.4 rounded to the tenth
A computer printer can print 10 pages per minute.
Write an expression for the number of pages the
printer can print in m minutes.
Answer:
so if the printer can print 10 pages per min. then the equation would be 10*m.
Step-by-step explanation:
1. A bike shop rents each of its bikes for $6.50 per hour. They also charge a
$10.50 insurance fee for each rental.
What's the total cost, y of renting an bike for x hours.
Y = _?___ + __?__
Answer:
y=6.50x+10.50
Step-by-step explanation:
Answer: 17
Step-by-step explanation: