Answer: the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget
Step-by-step explanation:
Given data:
Distance between two cities = 48 miles
Number of days available in February = 28
February budget = 15000 miles
Solution:
If the distance between two cities = 48 miles, and 7 trips are made daily
= 48miles * 7
= 336 miles is travelled each day.
For February
= 28days * 336
= 9408 miles.
Budget – travel distance covered ( February)
= 15,000 - 9408
= 5592 miles.
The budget is reasonable because, by following the travel pattern or history the total travelled miles would be 9408 miles for February which is below the budget allowed by the company for the month.
So the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget.
9. The coordinates of the endpoints of segments
are given below. Are the two line segments
parallel, perpendicular, or neither? Justify
your answer.
a) S(-4, -1), T(-1,5) and U(1,1), V(5, -1)
b) B(-6, -2), C(-3, 3) and D(2,0), E(5,5)
c) N(-6,2), P(--3, -4) and Q(1, -3), R(3, 4)
d) G(-2,5), H(4,1) and J(1, –4), K(7,0)
help is much appreciated
Answer:
a. ST and UV are perpendicular lines.
b. BC and DE are parallel.
c. NP and QR are neither parallel nor perpendicular.
d. GH and JK are parallel.
Step-by-step explanation:
Slopes are used to calculate steepness of a line. Slopes are also used to check if two lines are parallel, perpendicular or neither.
When two lines are parallel, their slopes are equal.
When two lines are perpendicular, product of slopes of both lines is -1
Slope is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
a) S(-4, -1), T(-1,5) and U(1,1), V(5, -1)
[tex]Slope\ of\ ST = \frac{5+1}{-1+4} = \frac{6}{3} = 2\\Slope\ of\ UV = \frac{-1-1}{5-1} = \frac{-2}{4} = -\frac{1}{2}[/tex]
Now,
[tex](Slope\ of\ ST)(Slope\ of\ UV) \\= 2 * -\frac{1}{2}\\=-1[/tex]
ST and UV are perpendicular lines.
b) B(-6, -2), C(-3, 3) and D(2,0), E(5,5)
[tex]Slope\ of\ BC = \frac{3+2}{-3+6} = \frac{5}{3}\\Slope\ of\ DE = \frac{5-0}{5-2} = \frac{5}{3}[/tex]
As the slopes of two lines is equal, BC and DE are parallel.
c) N(-6,2), P(--3, -4) and Q(1, -3), R(3, 4)
[tex]Slope\ of\ NP = \frac{-4-2}{-3+6} = \frac{-6}{3} = -2\\Slope of\ QR = \frac{4+3}{3-2} = \frac{7}{2}[/tex]
NP and QR are neither parallel nor perpendicular.
d) G(-2,5), H(4,1) and J(1, –4), K(7,0)
[tex]Slope\ of\ GH = \frac{1-5}{4+2} = \frac{-4}{6} = -\frac{2}{3}\\Slope\ of\ JK = \frac{0-4}{7-1}= \frac{-4}{6} = -\frac{2}{3}[/tex]
GH and JK are parallel.
Hence,
a. ST and UV are perpendicular lines.
b. BC and DE are parallel.
c. NP and QR are neither parallel nor perpendicular.
d. GH and JK are parallel.
here is a question for you
Answer:
3/8
Step-by-step explanation:
they simply combined the like terms (aka the x numbers in this case) so all that's left is 3/8
why is population education introduced in secondarylevel
Answer:
Population education is included in school curriculum because of following reasons: It aware the causes and consequences of population growth on socio-economic and environmental aspect. It imparts the knowledge and changes the attitudes and practice of people regarding population.
Divide 49 m²by Square root 7 m
Step-by-step explanation:
Here is your answer in the attachment
Hope it helps you
Please only answer if your certain it will mean a lot I can give extra points or brain list if you like or a thanks please don’t put anything Radom or a lie thank you
Answer:
Ms. Cortez earns 500 dollars for working 30 hours. It's the last choice.
Step-by-step explanation:
You just have to substitute 30 into the equation in place of x, since x represents hours.
f(30) = 50 + 15(30)
f(30) = 50 + 450
f(30 = 500
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A) 28 + 65H ≤ 250
B)28 + 65H ≥ 250
C) 65 + 28H ≤ 250
D) 65 + 28H ≥ 250
2) What is the largest whole number of hours that Anand can afford?
hours
Answer
1.) B
2.) 3 hours
Step-by-step explanation:
1.) option B is correct I think because it shows he will either be equal to or less than how much money he wants to spend
2.) i got three because if you sent up the equal I picked in question one then you subtract 28 from 250 giving u 222 and you divide that by 65 giving you 3.4 but he only charges by the whole hour so that .4 of an hour he wouldn't charge you for
You paid $52.93 for a shirt at an academy. The total included $4.37 for tax...(the tax rate is 9%) what was the price of the shirt WITHOUT TAX
Answer:
The answer is really simple
Step-by-step explanation:
52.93-4.37 which is 48.56
PLEASE HELP ME FIGURE THIS OUT
Answer:
1. x = 8
2. w = -13
3. y = 108 (i am not sure for this one).
4. z = -159
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Allison has two similar square blocks.she finds that one side of the larger square is 3 times the side of the smaller square. What is true about the area of the larger square? Answer plz?
Answer: The area of the larger square is 9 times the area of the smaller square.
Step-by-step explanation:
Graph the Line y=4x−3
Helppp the question is -1 is greater than or less than b-9
Answer:
It's greater than or equal to
Step-by-step explanation:
6TH GRADE MATH- What is the LCM (least common multiple) of 4, 9, 3, and 2?
Answer: LMC= 36
Step-by-step
Lcm is were u find how much they can go into each other for example
4: 12 3 4 5 6 7 8 9 = 36
9: 1 2 3 4 = 36
3: 1 2 3 4 5 6 7 89 10 11 12 = 36
2: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 = 36
if each uniform costs $39, shin guards costs $15, and each a pair of cleats , $55, what is the total costs of buying equipment for 11 players?
Answer:
Step-by-step explanation:The amount coach smith will spend is given by
11(3(48) + 2(5) + 17 + 2(89)) = 11(144 + 10 + 17 + 178) = 11(349) = $3,839
i need major help on this question try your best
question: Which number is divisible by 5 and 10?
answers:
A: 25
B: 995
C: 1,205
D: 9,450
lol please help, my homeschooling program didn't explain this well enough
Answer:
9,450
Step-by-step explanation:
10 cant go into the others because they end with a 5
2+10x2-5+8
I got 20 my friend got 25 my grandma got 14♀️
I think the correct answer of this question is25
Step-by-step explanation:
2+10×2-5+8
=2+20-5+8
=30-5(2+20+8=30)
=25
I think it will surely help to you to solve this quesrion.
Mr. Anders and Ms. Rich each drove home form a business meeting. Mr. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hour. In how many hours were they 3600 kilometers apart?
Answer:
180 hours
Step-by-step explanation:
Hope this helps
NEED HELP ASAP
Consider the following vectors in polar form.
|u| = 2 at ∠0°
|v| = 4 at ∠45°
What is the magnitude of vector w, if w = u – v?
|w| = 2.77
|w| = 2.95
|w| = 3.58
|w| = 5.60
Answer:
B 2.95
Step-by-step explanation:
The magnitude of w is |w| = 2.95 , Option B is the correct answer.
What is a Vector ?Any object that has both magnitude and direction is called a Vector.
It is given that
|u| = 2 at 0 degree
|v| = 4 at 45 degree
The magnitude of the vector w = | u -v| = ?
The resultant angle will be 45 degree
By applying Cosine law
w = | u -v| = [tex]\rm \sqrt { u^2 + v^2 - 2*u*v*cos \theta}[/tex]
w = | u -v| = [tex]\rm \sqrt { 2^2 + 4^2 - 2*2*4*cos 45^o}[/tex]
w = 2.947 = 2.95
Therefore the magnitude of w is |w| = 2.95 , Option B is the correct answer.
To know more about Vector
https://brainly.com/question/24256726
#SPJ2
Solve the systems of equations by graphing.
Answer:
I'm not that smart :/
Step-by-step explanation:
The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6. What is the equation for the function g(x)?(1 point)
Given:
The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.
To find:
The equation of the function.
Solution:
The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).
The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).
The equation of function g(x) that passes through (-5,-2) and (6,5.7) is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{5.7-(-2)}{6-(-5)}(x-(-5))[/tex]
[tex]y+2=\dfrac{5.7+2}{6+5}(x+5)[/tex]
[tex]y+2=\dfrac{7.7}{11}(x+5)[/tex]
[tex]y+2=0.7(x+5)[/tex]
[tex]y+2=0.7x+3.5[/tex]
Subtract 2 from both sides.
[tex]y=0.7x+3.5-2[/tex]
[tex]y=0.7x+1.5[/tex]
Therefore, the equation of function g(x) is [tex]y=0.7x+1.5[/tex].
how do raise a power to a power
Answer: The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Step-by-step explanation:
Five movie tickets cost $42.50. How much do 4 movie tickets cost
Answer:
34.00 $
Step-by-step explanation:
42.50:5= 8.50$ each
8.50*4= 34$
5x -6y = 0 what is the x-intercept
Answer:
0
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Graph y−5=−2/3(x+9) using the point and slope given in the equation.
Use the line tool and select two points on the line.
(There is a graph with all 4 quadrants and the values go up to 10 for both x and y)
Answer:
Well, I don't know how to graph it for you, but the slope is -2/3 and the point is (-9, 5). So, when you graph it, from the point (-9, 5), you can go 3 units to the right and 2 units down.
Solve the Equation:
5x- 17 - (8x + 3) = 14
SHOW YOUR WORK
Answer:
5x-17-8x-3=14
-3x=14+17
x=31/-3
x=8.333333
Go to your math tools and open the Graph tool to graph Gwen's and Tristan's equations. Hint: To create the graph, select the correct relationship
and then enter the values for the variables. You will need to change the scales for the x- and y-axes. When deciding the scale, ask yourself what x
and y stand for, and what would be reasonable amounts for their minimum and maximums.
Do the two lines intersect? Why or why not? What does this mean in terms of the situation? If the lines intersect, at what point do they intersect
and what does this point mean in terms of the situation? Paste a screenshot of your graph in the space provided.
I just need help on graphing the equation I can take the screen shot my self. The equation for Gwen is Y = 100+10x
The equation for Kieth is Y = 10x
The equation for Tristan is Y = 12.5x
Answer:
Step-by-step explanation: when you first open the graphing tool you have to click relationship and choose custom. put in gwen’s equations (y=100+10x) then go to relationship and choose custom again and put in tristan’s equation (y=12.5)
also click on the settings button at the bottom of the graph and put the x axis to -100 min and 100 max and for y axis put -1000 min and 1000 max or you could choose your own numbers but thats just what i put
The graph of the equations (y = 10x + 100), (y = 10x), and (y = 12.5x) can be drawn by using the rules of transformation.
Given :
y = 100 + 10xy = 10xy = 12.5xThe following steps can be used to sketch the graph of the given line (y = 100 + 10x):
Step 1 - First sketch the graph of (y = x).
Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)
Step 3 - Then find the y-intercept from the given equation. Then draw the line that passes through (0,100). The resulting line is the graph of (y = 100 + 10x).
The following steps can be used to sketch the graph of the given line (y = 10x):
Step 1 - First sketch the graph of (y = x).
Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)
The following steps can be used to sketch the graph of the given line (y = 12.5x):
Step 1 - First sketch the graph of (y = x).
Step 2 - Then Multiply the x-axis by a factor of 12.5. The resulting graph is the graph of (y = 12.5x)
The graph of all the equations together is attached below.
Red line shows the graph of (y = 10x + 100).Blue line shows the graph of (y = 10x)Green line shows the graph of (y = 12.5x)For more information, refer to the link given below:
https://brainly.com/question/13432851
How do I do functions with graphs?
Answer:
the function would by labeled y
help with math , thanks
Jason solved for the quotient of 133.5 ÷ 5.
5 StartLongDivisionSymbol 133.5 EndLongDivisionSymbol minus 10 = 33. 33 minus 30 = 35. 35 minus 35 = a remainder of 0 and quotient of 267. Answer: 133.5 divided by 5 = 267.
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The dude biked 20% of 100 miles, how many miles has he biked
Answer:
20 miles
Step-by-step explanation:
20% of 100 is 20
Answer:
The dude bikes 20 miles
Step-by-step explanation:
100 times 20 divided by 100
2000/100
20 miles