Answer:
The traveller's speed is 5ft/s and the walkway speed is 3ft/s
Step-by-step explanation:
Given
Represent the traveller's speed with T and the walkway's speed with W.
When the traveller walk against the walkway, we have:
[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway
When the traveller walk with the walkway, we have:
[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway
Required
Solve for W and T
[tex]T - W = 2[/tex] --- (i)
[tex]T + W = 8[/tex] --- (ii)
Add (i) and (ii)
[tex]T + T - W + W = 2 + 8[/tex]
[tex]T + T = 2 + 8[/tex]
[tex]2T = 10[/tex]
Divide both sides by 2
[tex]\frac{2T}{2} = \frac{10}{2}[/tex]
[tex]T = \frac{10}{2}[/tex]
[tex]T = 5[/tex]
Substitute 5 for T in (ii)
[tex]T + W = 8[/tex]
[tex]5 + W = 8[/tex]
Make W the subject
[tex]W = 8 - 5[/tex]
[tex]W = 3[/tex]
Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s
There are 30 students in the drama club. They are carpooling in 5 vans to perform a play. They want each van to carry an equal number of students. Let s be the number of students in each van. Write and solve a multiplication equation to find the number of students in each van.
Answer: 6 students in each van
Step-by-step explanation: Sx5=30
how can you determine if two figure are identical
3-1- 1 2/3 as a fraction
Answer:
Step-by-step explanation:
4/3
Hope it helped you.
Plz mark me brainliest.
can you find the coordinates for K’
pls thank you
Answer: (3, 7)
Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)
Have a nice day! :)
Simplify the fraction and state the excluded value(s).
[tex]\dfrac{7x^2+4x-20}{5x+10}[/tex]
Answer:
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringCalculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}[/tex]
Step 2: Simplify
[Frac - Numerator] Factor quadratic: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}[/tex][Frac - Denominator] Factor GCF: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}[/tex][Frac] Divide/Simplify: [tex]\displaystyle \frac{(7x - 10)}{5}, x \neq -2[/tex]When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.
[tex]\color{skyblue}{\boxed{\tt{ANSWER:}}}[/tex]
General Formulas and Concepts:Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra ITerms/Coefficients
Factoring
Calculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)^_^ ❤
Liz is watching a film in the cinema the film started at 14:30 the film is 105 minutes long when the film ends liz takes 20 minutes to get to the bus stop does she get to the bus stop in time to make it to the bus
Answer:
Step-by-step explanation:
The brown gerbil eats 30 pallets each day. The brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil. The family has 200 pallets of food left. For how many days can they feed both of the gerbils ?
Answer: 5 days
Step-by-step explanation:
Let the number of pallets that the tan gerbil eat be x.
Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:
(4 × x) - 10 = 30
4x - 10 = 30
4x = 30 + 10.
4x = 40
x = 40/4
x = 10
The tan gerbil eats 10 pallets per day.
Both gerbil eats (30 + 10) = 40 gerbils per day.
Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:
= 200 / 40
= 5 days
In this picture B,D, and Fare
midpoints. AC=50, CE=60, and
BD=35
DF=[?]
Answer:
25
Step-by-step explanation:
The smaller triangle is constructed by joining the 3 midpoints. Every line in that smaller triangle is parallel and 1/2 the size of the line not joined by the 2 given midpoints.
In this case 1/2 AC = 1/2 * 50 = 25
The length of DF = 25
The ratio of boys to girls in a class is 3:4. There are 35 students in the class How many more girls than boys are there?
Step-by-step explanation:
So let's keep the missing number as x
So the ratio becomes 3x:4x
And according to the question,
3x + 4x = 35
7x = 35
x = 35/7
x = 5
So to find the number of boys:- 3 * 5 = 15
Number of girls:- 4 * 5 = 20
Therfore, Difference = 20 - 15
= 5 students
Hope you understood :)
Answer:
5 more girls than boys
Step-by-step explanation:
When you think of ratio, imagine it this way. A ratio literally means a fraction. So, we can visualise it a similar way: a pie. Or a pizza, if you like.
In the pie, there are two groups. One are the boys and one are the girls. When you say their ratio is 3:4, it means that for every 3 boys there are 4 girls. This means that the number of boys can be represented as 3 units and the number of girls as 4 units. We just do not know how many students one unit represent, but any one unit is equal in a ratio, no matter how many groups there are.
Hence, imagine the pie as being divided into 3 slices + 4 slices. That makes 7 slices. Now we need to find out how many students forms one slice.
We know that the whole pie is made up of 35 students. There are 7 slices in the pie. Hence, to find the number of students in a slice, simply divide 35 by 7:
35/ 7 = 5
We now know one slice, or one unit, has 5 students.
Now multiply the value of the unit by how many units each group is made up of to find how many students there are in each group. 3 x 5 = 15. 4 x 5 = 20. One cool trick here is to add up the values again to see if it fits to the original sum. This helps you check your working.
We now know there are 20 girls and 15 boys, Hence, there are 20–15 = 5 more girls than boys.
Not mine! this was from Quora written by William Blake!please help im crying
Answer:
length=91
width=2
Step-by-step explanation:
182/2=91
91*2=182
do you know the answer, ive been stuck for hours
Answer:
Perpendicular H = 5.244 m (Approx)
Step-by-step explanation:
Given:
Hypotenuse = 9.4 m
Base = 7.8 m
Find:
Perpendicular H
Computation:
Perpendicular H = √Hypotenuse² - Base²
Perpendicular H = √9.4² - 7.8²
Perpendicular H = √Hypotenuse² - Base²
Perpendicular H = 5.244 m (Approx)
Solve the problem
6n - n
A) 1 + n
B)2n
C)-n
D)-7n
Answer:
5n
Step-by-step explanation:
Step one:
Given data
Solve the problem
6n - n
The expression is an algebraic expression, since all the terms are the same, we want to perform a subtraction operation on the terms
so
6n-n= 5n
The answer is clearly no listed in the options
At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Because Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers' parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings. Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do. Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.
Answer:
[tex]m = 200 + 20j[/tex]
[tex]r = 350 + 15j[/tex]
Number of jobs is 30
Step-by-step explanation:
Variable representation
Let Mark's total earnings for moving be m
Let Ryan's total earnings for moving be r
Represent the number of jobs with j
Setup equation
Mark:
[tex]Initial\ Savings = 200[/tex]
[tex]Rate = 20[/tex]
So, the total savings is:
[tex]m = 200 + 20j[/tex]
Ryan
[tex]Initial\ Savings = 350[/tex]
[tex]Rate = 15[/tex]
So, the total savings is:
[tex]r = 350 + 15j[/tex]
To get the number of jobs they save the same amount.
We have:
[tex]m = r[/tex]
Substitute values for m and r
[tex]200+20j = 350+15j[/tex]
Collect Like Terms
[tex]20j - 15j = 350 - 200[/tex]
[tex]5j = 150[/tex]
Divide both sides by 5
[tex]j = \frac{150}{5}[/tex]
[tex]j = 30[/tex]
Hence, the number of jobs is 30
One Friday night, two large groups of people called Centerville Taxi Service. The first group
requested 3 sedans and 2 minivans, which can seat a total of 21 people. The second group
asked for 3 sedans and 3 minivans, which can seat a total of 27 people. How many
passengers can each type of taxi seat?
Answer:sedan can hold 3 people and a minivan can hold 9 people.
Step-by-step explanation:
Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B
So 3A + 2B = 21 and 3A + 3B = 27
If we subtract the equations we can solve for B
3A + 3B = 27
-3A - 2B = 21
___________
B = 6
Now we know Each minivan can hold 6 passengers and we can solve for A.
3A + 3B = 27
3A + 3(6) = 27
3A + 18 = 27
- 18. -18
__________
3A = 9
A =3
You can check this by solving the other equation.
3A + 2B = 21
3(3) + 2(6) = 21
9 + 12 = 21
Hope that helps
Solve the inequality,
p+ 1 = 2
The solution is
Answer:
p = 1
Step-by-step explanation:
one. 2-1 would equal 1 so p would have to be 1 exactly
Help pls yall i will give brainliest
Answer:
B.
Step-by-step explanation:
PLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELP
Answer:
I believe y equals 0
Step-by-step explanation:
sorry If i am wrong
Function k squares the sum of the input, w, and 3.
What is the function equation in function notation?
9514 1404 393
Answer:
k(w) = (w +3)²
Step-by-step explanation:
The name of the function is k, and its input is w, so the left side of the equal sign will be ...
k(w)
This is said to be the square of the sum w+3, so the right side of the equal sign will be ...
(w +3)²
The function equation in function notation is ...
k(w) = (w +3)²
Answer:
k(w) = (w +3)²
I took the test
Need help please anyone
Answer:
The answer is C
Step-by-step explanation:
I may be wrong but you need to line the decimal
PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma
-13x=90-2y
-6x=48-2y
Answer:
[tex]x=-6,\\y=6[/tex]
Step-by-step explanation:
Rewrite the system of equations as:
[tex]\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}[/tex]
Subtract the second equation from the first to isolate [tex]x[/tex]:
[tex]-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}[/tex]
Plug in [tex]x=-6[/tex] into any of the equations above and solve for [tex]y[/tex]:
[tex]-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}[/tex]
Verify that the solution pair [tex](-6, 6)[/tex] works [tex]\checkmark[/tex]
Therefore, the solution to this system of equations is:
[tex]x=-6,\\y=6[/tex]
1. two acute vertical angles
2. two obtuse adjacent angles
Answer:
there is not enough information provided to answer this question
Step-by-step explanation:
I'm sorry
Answer: but what’s the question
Step-by-step explanation:
Theirs not much provided
please help me :'(
Polynomial Function.
Tell whether the following is a polynomial is a polynomial function or not. give the degree and the number of terms for polynomial functions.
1. y = 3x² - 2x + 4
2. y = 5^x+3
3. y = x + 4/3
4. y = (x - 4)(4x + 1)
5. y = 6x² + 1
Answer:
all are a polynomial function and
1.the degree is 3 and number of term is 4
2. 1 and 3
3. 1 and 4/3
4. 2 and -4
5. 2 and 1
Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay Colleen back altogether
Answer: Lucy pays $ 492.58 back altogether.
Step-by-step explanation:
Formula : Interest = Principal x Rate x Time
Given: Principal = $425 , rate = 5.3% = 0.053 , time = 3 years
Interest = 425 x 0.053 x 3 ≈ $ 67.58
Total amount need to pay back = Principal + Interest
= $ (425+67.58)
= $ 492.58
Hence, Lucy pays $ 492.58 back altogether.
Use SUBSTITUTION to solve the system
y=4x
2y-2x=12
find the least common factor of the numbers 12 and 4
Answer:
12
Step-by-step explanation:
its just how it is
.18 g = ___ kg ANSWER IF YOU KNOW PLEASE :(
Answer:
.18 grams equals .00018 kilograms
Answer:
.00018 kg
Step-by-step explanation:
To get from grams to kilograms, you divide by 1000, so you have to divide .18 by 1000. 0.18/1000 = .00018, so the answer is .00018 kg
Match each graph to its equation below.
The correct matching will be given as A-1, B-3, and C-2.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The general equation is given below.
y = ax²
If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.
If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.
Graph A is upward and shrinks parabolas so the equation will be y = x⁸.
Graph B is downward parabolas so the equation will be y = -3x⁸.
Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.
Then the correct matching will be given as A-1, B-3, and C-2.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ1
if a point has a multiplicity of 1, is it even or odd?
2x + 10 degrees solve for x
Each angle = 60 o Explanation: The two alternate interior angles provided are: ( 2 x + 10 ) o and, ( 3 x − 15 ) o A pair of alternate interior angles as per property ,have equal values. ( 2 x + 10 ) o = ( 3 x − 15 ) o ( 10 + 15 ) o = 3 x − 2 x 25 o = x So, angle 1: ( 2 x + 10 ) o = 2 × 25 + 10 = 60 o angle 2: ( 3 x − 15 ) o = 3 × 25 − 15 = 60 o
What is 47 rounded up by a factor of 10
Answer:
50...?
Step-by-step explanation: