Answer:
The actual number of passengers on the bus falling by 8 after the second stop
Step-by-step explanation:
Assume that the total passengers on the bus before 2:30 was x
At 2:30:
11 passengers got off and 8 got on.
So, the number of passengers
= x - 11 + 8
= x - 3
10 minutes later:
5 passengers got off the bus
So, the number of passengers
number of passengers = (x - 3) - 5
number of passengers = x - 8
now by comparing,
The actual number of passengers on the bus falling by 8 after the second stop
Segment RS is an altitude of triangle RTE, the measure of angle SRT=(4x-8) degrees, and the measure of STR=(6x+13) degrees. Find the value of x
9514 1404 393
Answer:
x = 8.5
Step-by-step explanation:
The given angles are complementary, so ...
(4x -8) +(6x +13) = 90
10x +5 = 90 . . . collect terms
10x = 85 . . . subtract 5
x = 8.5 . . . . divide by 10
Neptune is 2,798,842,000 miles from the sun. How many hours does it take lightto travel from the sun to Neptune?
9514 1404 393
Answer:
4.17 hours
Step-by-step explanation:
The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...
(2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h
It takes about 4.17 hours for light to travel from the sun to Neptune.
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children's tickets that were sold.
Let, number of children are x and number of adult are y.
Total number of seats, T = 180.
x + y = 180 ....1)
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children.
So, total amount :
8.5x + 12.5y = A
8.5x + 12.5y = 1826 ....2)
Solving equation 1) and 2) , we get :
8.5x + 12.5( 180 - x ) = 1826
8.5x - 12.5x + 2250 = 1826
-4x = -424
x = 106
y = 180 - 106 = 74
Therefore, the number of adult tickets and the number of children's tickets that were sold are 74 and 106.
Hence, this is the required solution.
Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.
Answer: Choice C) Undefined slope is when there is no vertical change
If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.
This is because the slope formula
m = (y2-y1)/(x2-x1)
has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.
Jim had three more than twice the number of doughnuts as Jane. Jim had 15 doughnuts. What is the equation to find out how many doughnuts Jane had?
Answer:
x = 15 * 2 + 3
Step-by-step explanation:
hope this helps!
Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.
y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes
Answer:
y = 0 , x = 1
Step-by-step explanation:
jdbdjdajhsbsbs
Answer:
Step-by-step explanation:
The graph has both a vertical and horizontal asymptote to which the value
of the function approaches as the y-values and x-values approaches
infinity respectively.
The horizontal asymptote is; y = 0The vertical asymptote is the line x = 1Reasons:
The horizontal asymptote is the horizontal line that the function's graph
tends towards as the value of the input variable approaches infinity.
The horizontal line that the graph of the function approaches is y = 0
Therefore;
The horizontal asymptote is; y = 0Similarly, the vertical asymptote is the vertical line that the graph of the
function approaches but never meets.
Therefore;
The graph of the function on the bottom left approaches the line x = 1 from
the left, while the graph of the function with the domain 0 < x < ∞,
approaches the line x = 1 from the right.
Therefore;
The vertical asymptote is the line x = 1Learn more here:
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What is -14x+28+6x=-44 and show your work pls and thankyou.
Answer:
x=2
Step-by-step explanation:
-14x+28+6x=-44
-8x+28=-44
-8x= -16
x=2
combine like terms
-8x+28 = -44
subtract 28 from both sides
-8x = -72
divide both sides by -8
x = 9
From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.
What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?
Answer: help plz
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
Which expression will be easier to simplify if you use the community property to change the order of the numbers
Answer:
the answer is c beucse yses
Step-by-step explanation:
A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
425
617
1
525
332
HELP ME PLEASE I NEED BRAINLIEST
Answer:
11
Step-by-step explanation:
Here, we replace x and y with the values given that x = 6 and y = 2:
=[tex]\frac{3(6)+4}{(2)}[/tex]
= [tex]\frac{18+4}{2}[/tex]
=[tex]\frac{22}{2}[/tex]
=11
Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R
Answer:
The measure of ∠R = 60°
Step-by-step explanation:
The given parameters are;
Triangle XYZ is reflected across the y-axis to create triangle PQR
The measure of ∠Y = 30°
Triangle XYZ = A right triangle
The measure of ∠X = 90°
Where we have;
The image of the preimage of vertex X = P
The image of the preimage of vertex Y = Q
The image of the preimage of vertex Z = R
Therefore, given that a reflection is a rigid transformation, we have;
The measure of ∠X = The measure of ∠P
The measure of ∠Y = The measure of ∠Q
The measure of ∠Z = The measure of ∠R
Given that the measure of ∠Y = 30° and the measure of ∠X = 90°
∠X +∠Y + ∠Z = 180° (angle summation of a triangle property
∴ The measure of ∠Z = 180° - (∠X + ∠Y) = 180° - (90° + 30°) = 60°
Therefore;
The measure of ∠Z = 60° = The measure of ∠R
The measure of ∠R = 60°.
856 divided by 57 somebody please help?
Answer:
15.0175439
Step-by-step explanation:
856/57 = 15.017
Please tell me if it is correct! :)
The difference between four times a number and six is -46
Answer: 4x-6=-46
4x-6=-46
Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.
Answer:
Soccer = 120
Tennis = 220
Step-by-step explanation:
The total number of students enrolling for soccer and tennis classes is, 340.
The ratio number of students enrolling for soccer and tennis classes is, 6:11.
Then,
6x + 11x = 340
17x = 340
x = 20
The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.
The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.
What two perfect squares does 11 sit in
between?
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answer:
.
Step-by-step explanation:
PLSSS HELPPP I BEG , it’s geometry
Answer:
x = 30°, y = 90°
Step-by-step explanation:
[tex](y + x) + (y - x) = 180 \\ 2y = 180 \\ y = 90 \\ [/tex]
[tex]2x + y + x = 180 \\ 3x + 90 = 180 \\ 3x = 90 \\ x = 30[/tex]
You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.
Answer:
Without cutting any of the slabs, what is the largest square patio you are able to build?
8 ft x 8 ft = 64 ft²Will you have any slabs left over? If so, how many?
yes, I will have 16 slabs left overStep-by-step explanation:
to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs
if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)
What is the slope of the line through (3, 2) and (-3, 4)?
3.4)
(32)
1
2
14
A. -3
O B.
O D. 3
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)
m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C
The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.
Given,
Points of line is (3, 2) and (-3, 4)
Let
x₁ = 3, y₁ = 2
x₂ = -3, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m = (4 - 2)/(-3 - 3)
m = 2/(-6)
m = -1/3
Hence, the slope of the line is -1/3
Learn more about Slope of Line here :
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When you add my age to my son's age, you get 52. When you subtract my son's age
from my age, you get 28. How old am I and how old is my son?
your son is 24 and you are 28
Step-by-step explanation:
you have to do 52-28
What is the value of the expression below when x=3 and y=8?
6x + 10y
Answer: Answer: 98
6(3) + 10(8) = 98
Step-by-step explanation:
Five students write measurements for the three side lengths of various triangles.
Student
Side Lengths
1 3, 4, and 5
2 4, 7, and 10
3 5, 12, and 16
4 6, 8, and 10
5 7, 11, and 13
Which students' measurements form a right triangle? Select ALL that apply.
A Student 1
B
Student 2
С
Student 3
D
Student 4
I
E
Student 5
Answer:
student 3 i think yea
Step-by-step explanation:
Q5.
Here are two fractions.
7/5 and 5/7
Work out which of the fractions is closer to 1
You must show all your working.
Answer:
5/7
Step-by-step explanation:
You can convert them to fractions to answer:
7/5=1.4
5/7=0.714
7/5 is 0.4 away from 1, while 5/7 is 0.3 away.
Answer:
5/7 is closer
Step-by-step explanation:
7/5= 49/35=1 14/35
5/7= 25/35
7/5 is 14/35 away from one whereas 5/7 is 10/35 away.
the place value of 2 in 5.32 is
Answer: hundredths
Step-by-step explanation:
The second number past the decimal point is the hundredths place
Find the inverse of f(x) = 3x + 7
Answer:
g(x)=(x-7)/3
Step-by-step explanation:
Answer:
The answer would be [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse
Step-by-step explanation:
Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
Solve each equation for x.
8. d= f+ fx
Answer:
(d/f)-1=x
Step-by-step explanation:
d=f+fx
d-f=fx
(d-f)/f=x
(d/f)-1=x
I need help please it’s due in a couple of minutes
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product?
Answer:
48
Step-by-step explanation:
8