Answer:
a) on the way there, the speed = 50 m/hr
b) on the way back home, speed = 30 m/hr
Step-by-step explanation:
[tex]speed (s) = \frac{distance(d)}{time(t)} \\distance = speed\ \times\ time[/tex]
on the way to Disney land:
distance = d
speed = s
time = t = 6 hours
d = s × t
d = s × 6
d = 6s - - - - - (1)
On the way back:
speed decreased by 20m/hr
This means that s₂ = (s - 20)m/hr
time = t₂ = 10 hours
∴ d = s₂ × t₂
d = (s - 20) × 10
d = 10s - 200 - - - - (2)
Note that the distance is the same to and from disney land, therefore, equation (1) equals equation (2)
∴ 6s = 10s - 200
collecting like terms:
10s - 6s = 200
4s = 200
∴ s = 200 ÷ 4
s = 50 m/hr
Therefore on the way there, the car was moving at a apeed of 50m/hr
speed on the way back home (s₂) = (s - 20) m/hr
∴ s₂ = 50 - 20
s₂ = 30 m/hr
Therefore on the way back home the speed was 30 m/hr
You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area a of the shelf X is (15,20) Z is (0,5) Y is (15,5)
Answer:
[tex]Area = 112.5[/tex]
Step-by-step explanation:
Given
[tex]X = (15,20)[/tex]
[tex]Y = (15,5)[/tex]
[tex]Z = (0,5)[/tex]
Required
Determine the area of the triangle
The area is calculated using the following formula:
[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]
Where
[tex](X_x,X_y) = (15,20)[/tex]
[tex](Y_x,Y_y) = (15,5)[/tex]
[tex](Z_x,Z_y)= (0,5)[/tex]
Substitute right values in the given formula:
[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]
[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]
[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]
[tex]Area = |\frac{225}{2}|[/tex]
[tex]Area = |112.5|[/tex]
[tex]Area = 112.5[/tex]
Hence, the area of the triangle is 112.5
-2(v- 2) =-3 -22
What’s the answer?
Answer:
v= 29/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(v−2)=−3−22
(−2)(v)+(−2)(−2)=−3+−22(Distribute)
−2v+4=−3+−22
−2v+4=(−3+−22)(Combine Like Terms)
−2v+4=−25
−2v+4=−25
Step 2: Subtract 4 from both sides.
−2v+4−4=−25−4
−2v=−29
Step 3: Divide both sides by -2.
−2v
−2
=
−29
−2
v=
29/2
I need help with solving this equation! ( answer is supposed to be 3.888 but I have been getting a different answer every time!) 3.24 x 1.2
Answer:
I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888
Answer:
Step-by-step explanation:
If you can't use a calculator break it apart.
1 X 3.24 is 3.24
Now take .2 x 3.24 this is easy, just remember to move the decimal in the answer one more to the left.
3.24
x .2
.684 moved the decimal one more spot
Now we take 3.24 + .684
3.24
+ .648
3.888
factor 25m64−81n16 (w/ screenshot)
Answer:
(5m^32 -9n^8) (5m^32 +9n^8)
Step-by-step explanation:
[tex]25m^{64}-81n^{16}\\\\\mathrm{Rewrite\:}25m^{64}-81n^{16}\mathrm{\:as\:}\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\=\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\\x^2-y^2=\left(x+y\right)\left(x-y\right)\\\\\left(5m^{32}\right)^2-\left(9n^8\right)^2=\\\left(5m^{32}+9n^8\right)\left(5m^{32}-9n^8\right)[/tex]
Are terms and ratios related?
1) 9 + 2h - 16
-7 + 2h
2. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• A is less than E.
. E is less than D.
• B is greater than C.
• C is less than A.
• F is the smallest.
• A is greater than B.
Points in order:
Consider the following 8 numbers, where one labelled x is unknown. 42, 47, 5, x , 18, 12, 50, 1 Given that the range of the numbers is 59, work out 2 values of x .
===========================================================
Explanation:
Let's assume that x is the largest value of the list. If so then x = 60 because
range = max - min
range = x - 1
range = 60-1
range = 59
Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.
So x = 60 is one possible value. We can't have x any larger or the range would be larger.
But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value
Here's why
range = max - min
range = 50 - x
range = 50 - (-9)
range = 50+9
range = 59
the slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m
Answer:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y=mx+b[/tex]
And we want to rewrite it in terms of m.
We can subtract b from both sides:
[tex]y-b=mx[/tex]
Finally, dividing both sides by x yields:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]
In conclusion:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]
Mike ans his three friends decided to divide the lunch bill evenly.They are trying to figure out how much each person owes if the total bill was $52. Which equation models the scenario? a)52/4=x b)52/3=x c)52x=4 d)52x=3
Answer:
b
Step-by-step explanation:
x is the number each person will get
b is the only possible answer
A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was turned on for 3 hours. The amount of water in the bucket can be modeled by the function f(x) = |x| over the interval [−6, 3], where x is the time, in hours, and y is the amount of water in the bucket, in gallons. Which translation of the graph represents the last 3 hours of the leak, and the tap running for 6 hours? Group of answer choices g(x) = |x − 3| g(x) = |x| + 3 g(x) = |x| − 3 g(x) = |x + 3|
Answer:
The answer is g(x) = |x - 3|
Step-by-step explanation:
Here we have a general problem of horizontal translations, we will see that the correct option is g(x) = |x - 3|
We know that the bucket was leaking for 6 hours, and then it was filled in 3 hours.
Then in the interval [-6, 0) the bucket was leaking
In the interval [0, 3] the bucket was being filled.
Now we want a transformation that represents the last 3 hours of leaking.
Also, remember that for a general function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left
If N is negative, the translation is to the right.
If we want to represent the last 3 hours of leaking (which happen for negative values of x) then we need to move the whole graph to the right.
So, if we define the function as:
g(x) = f(x - 3)
when we evaluate g(x) in zero we get:
g(0) = f(-3)
So this new function, at the time zero, starts representing the last 3 hours of leaking of the bucket.
Remembering that f(x) = |x|
We can see that the correct option is:
g(x) = f(x - 3) = |x - 3|
g(x) = |x - 3|
Below you can see a graph with a comparison of f(x) and g(x), where the green one is f(x) and the blue one g(x).
If you want to learn more, you can read:
https://brainly.com/question/13435754
Given the equation, 5x + 10y = 20, what are your x and y-intercepts? Explain your thought process and steps in your reply.
Answers:
x intercept = 4
y intercept = 2
============================================
Explanation:
To find the x intercept, plug in y = 0 and solve for x
5x+10y = 20
5x+10(0) = 20
5x = 20
x = 20/5
x = 4
The x intercept is x = 4, which means it is located at the point (4,0)
-----------------------
We'll flip things around for the y intercept. Plug in x = 0 and solve for y to get the y intercept.
5x+10y = 20
5(0)+10y = 20
10y = 20
y = 20/10
y = 2
The y intercept is located at (0,2), but we can just say "the y intercept is 2" as an alternative.
CAN SOMEONE HELP AND EXPLAIN THIS TRIGONOMETRY PROBLEM
Step-by-step explanation:
Hey there!
Simply work with it.
As it is a Right angled triangle, taking angle 40° as a reference angle. Then,
Length of board = hypotenuse = 15 feet.
To find: height of ladder = perpendicular.
Now,
Taking sin ratio,
[tex] \sin = \frac{p}{h} [/tex]
[tex]sin \: 40 = \frac{p}{15} [/tex]
or, as in per the given sin value is 0.6428
so,
[tex]0.6428 = \frac{p}{15} [/tex]
or, 15 × 0.6428 = p
or, p = height of ladder = 9.642.
Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.
Hope it helps...
2
3) In which quadrant of the coordinate plane will the ordered pair (-8, 7)
be found? *
Answer:
2 cuadrante
Step-by-step explanation:
what are the aspects of a good setter in volleyball
Answer: be a good communicator with strong leadership skills who quickly builds trust with the ability to talk and communicate with her hitters.
encourages hitters when they are playing well and when they aren't playing well.
(I used to play volleyball myself)
The product of 2 and a number x is 3/4. What is the value of x? x=5/4 x=3/8 x=1 1/4 x=3/2
Answer:
x=3/8
Step-by-step explanation:
2*x=3/4
x=3/4*2
x=3/8
Answer:
9
Step-by-step explanation:
5.75 , 7.75 , 9.75 , 11.75 is a Non linear sequence ? is it true or false
Answer:
false because each go up by two and I didnt even look it up
can you please tell me the right ans
Answer: i) 512,000 cm³ ii) 512,000 cc iii) 512 litres
Step-by-step explanation:
Volume (V) of a cube is side (s) cubed: V = s³
Given: s = 80 cm
i) V = (80 cm)³
= 512,000 cm³
ii) 512,000 cm³ = 512,000 cc
iii) 512,000 cm³ × 1 liter/1000 cm³ = 512 liters
For your goal what is 1.834597/26881
Answer:
0.00006824883
Step-by-step explanation:
right?
-2.75 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number
Answer:
Rational Number
Step-by-step explanation:
It is not a natural number as natural numbers are the counting numbers we use and therefore only encompass positive integers,which - 2.75 is not. Whole numbers and integers do not include decimals and fractions, therefore - 2.75 is not included either does to its decimal. Finally it is a rational number because it can be properly expressed as a fraction (-2.75/1). Therefore it is just a rational number from this list.
Hope this helped!
imagine an investigation in which 40 students were asked to determine their chronotype by choosing from among four chronotypes instead of three: morning person, night person, neither, or both. If there is no relationship between chronotype and birth month, about what fraction of the students would you expect to pick the chronotype that matches their birth month? why do you think this?
Step-by-step explanation:
A chronotype is a behavioral manifestation of an underlying circadian rhythms of the myriad physical processes.
The chronotype word may be defined as an individual's natural tendency to remain active mostly at certain times of the day. Some people remain active and alert in the early time of the day and some are alert and active in the late night.
The chronotypes are : Morning person, night person, neither/both.
It is assume that the birth month and year of a person influences his or her chronotype. But if birth month is not related to theses personality traits of a person, then it can be expected that nearly 1/3rd of the fraction of the students in class picks the chronotype which corresponds to their birth type.
What equation matches this situation?
—John wants to buy an MP3 Player that costs $30. How much change did he receive
if he gives the cashier $40–
HELP ME PLZ ! Solve for x
Answer:
x = -1/3 - 3/2y
Step-by-step explanation:
Step 1: Write out equation
3y + 2x = -1
Step 2: Subtract 3y on both sides
3y - 3y + 2x = -1 - 3y
2x = -1 - 3y
Step 3: Divide both sides by 2
2x/2 (-1 - 3y)/2
x = -1/3 - 3/2y
Answer:
Hey there!
3y+2x=-1
2x=-3y-1
x=-3/2y-1/2
Let me know if this helps :)
solve this question please: x² = -169
Answer:
13i, -13i
Step-by-step explanation:
To solve this equation, we need to take the square root of both sides. The square root of 169 can be either 13 or -13, but this time, they asked for -169. Whenever we take the square root of a negative number, we put the letter i, which stands for imaginary. It is never capitalized, so we remove the negative sign from -169, and take the square root of that. We get -13 and 13 as our answers, and we multiply both numbers by i to get -13i and 13i. Any solutions with i in it are considered complex solutions
Please Help quickly! I need an explanation please. 50 points and will mark brainliest !
Yes, you are correct!
8x⁴-6x³+2/2x²+3
= 4x² + -6x³-12x²+2/2x²+3
= 4x² - 3x + -12x²+9x+2/2x²+2
= 4x² - 3x - 6 + 9x+20/2x²+3
Best of Luck!
The Difference of a number and nine
Answer:
3+3+3=9 Slove this
Step-by-step explanation:
Mark as Brainliest
6y-10y-11=8y-2y+29 step by step?
Step-by-step explanation:
6y - 10y - 11 = 8y - 2y + 29
6y - 10y +16y - 11 = 8y - 2y + 29 + 16y
-11 = 22y + 29
11 = 22y + 40
-29 = 22y
Not sure yet I think I made a mistake hold up
9 tickets cost $54. How much do 4 tickets cost?
Let's make a proportion to solve this problem.
[tex]\frac{9}{54}=\frac{4}{x}[/tex]
[tex]9x=216[/tex]
[tex]x=24[/tex]
4 tickets cost $24
Hope this helps.
頑張って!
Which of the following is a quantitative variable?
Temperatures in New York from January to March
Price of gas at three different gas stations
Population density of a town
Symbols of elements on the periodic table
Answers: A, B, C
These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.
In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).
Marty drew a model of the school library. The total area of the floor is 132 square centimeters. What is the area of the shaded part of the model shown below?
Answer:
Step-by-step explanation:
116
The area of the shaded part of the model shown below will be 72 square cm.
What is an area of a rectangle?Area of a rectangle is the product of its length and width.
If a rectangle has a length of L units and a width of W units, then
Area = L × W squared units.
Marty drew a model of the school library.
The total area of the floor is 132 square centimeters.
Then the area of the shaded part of the model shown below will be
Area = 132 - 10 x 6
Area = 132 - 60
Area = 72 square cm
Then the correct option is C.
Learn more about the area of a rectangle here:
https://brainly.com/question/4887838
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