Bus A and Bus B leave the bus depot at 2 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its
route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot
together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
LCM(30, 35) = 210 minutes.
The 2 Buses will be back at the depot 210 minutes after 5pm, or 5pm + 210 minutes =5 + 3.5 hours =8:30pm
Answer:
4:30 PM
Step-by-step explanation:
Bus A will meet Bus B on it's 10th route at 150 min. Bus B will meet Bus A at its 6th route at 150 min. 150 is also 2 hours and 30 min so they will meet at 4:30 PM.
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
Which quadrant does the complex number -4 - 9i lie in?
a. Quadrant I
b. Quadrant III
c. Quadrant II
d. Quadrant IV
Answer:
Quadrant III
Step-by-step explanation:
because in quadrant III there is both negative terms
PLEASE HELP An algebraic ___ is a mathematical phrase
With numbers, variables, operations for days.
is it coefficient , expression or evaluate
Answer:
Expression
Step-by-step explanation:
The definition of an Algebraic Expression is this:
Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.
It can not be an Algebraic Equation because that only includes one variable.
I Hope That This Helps! :)
PLEASE HELP ASAP!!!!!!!!!!
Answer:
2 31/100
Step-by-step explanation:
Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0
Answer:
sin x, –1
Step-by-step explanation:
did on edge
The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.
Tuition for one year at the University of Houston is about $12,300 Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved 54,860 for his first year of
tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
(Answer Choices)
Azul will need to save $256 25 per month for the next 4 years
Azul will need to save $1,860 per month for the next 4 years.
Azul will need to save $620 per month for the next 4 years.
Azul will need to save $155 per month for the next 4 years
The original price for the sweater is $80. Today it is on sale for 30% off. What is the sale price for the sweater?
Answer:
56
Step-by-step explanation:
30 percent of 80 is 24, subtract
Answer:
56
Step-by-step explanation:
8 x .7=56
you get .7 by subtracting the 30 percent or .3 from the original price
Will give brainliest if correct
Answer:
y=4
x=2
Step-by-step explanation:
y=4
x=2
I think it's right..
Hope I helped!
Answer:
x - intercept = 2
y - intercept = 4
A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles are left to be repaired?
Answer:
Part A: m+1.37=7.9
Part B: 6.53 miles are left to be repaired.
Step-by-step explanation:
Given,
Length of repaired part = 1.37 miles
Total length to be repaired = 7.9 miles
Miles left to be repaired = m
Part A:
Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.
Miles left to be repaired + Length of repaired part = Total length to be repaired
m+1.37=7.9
Part B
How many miles are left to be repaired?
Subtracting 1.37 from both sides
6.53 miles are left to be repaired.
Keywords: length, subtraction
Step-by-step explanation:
egadar amd fred share cupcakes in the ratio 3:1 if edgar gets 9 cakes how many does fred get(pleez someone anwer my question
Answer:
3
Explanation:
For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.
The length of a rectangular garden is 5 times its width.
Find the length and width if the area is 500 m^2. Has anyone who answer me to this question?
Answer:
10 m and 50 mStep-by-step explanation:
Givenl = 5wA = 500 m²To findLength and widthSolutionArea formula
A = lw A= 5w*w= 5w²5w² = 500w²= 100w = √100w = 10 mThen
l = 5w = 5*10 m = 50 m
How do you write the algebraic expression: x=-2.5 like i mean the answer
Answer:
2.5 × t = 2.5 t
Step-by-step explanation:
what is the inverse function of c(n) = 4n + 20? show your work
Answer:
c(n) = 4n +20
let m = c(n)
m= 4n +20
make n the subject
m -20 =n
4.
inverse function of c(n)= n-20
4
It is a must that one replaces the m with the n in order to get the final answer
What is the rate of change of y with respect to x for 25x-4y=50
Answer:
The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
[tex]25x - 4y = 50[/tex]
Required
Determine the rate of change of y w.r.t x
[tex]25x - 4y = 50[/tex]
First, make y subject of formula
[tex]4y = 25x- 50[/tex]
Divide through by 4
[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]
[tex]y = \frac{25x}{4} - 12.5[/tex]
Next, we differentiate the above w.r.t to x
The result of the differentiation is the solution to the question
[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]
[tex]y' = 1 * \frac{25x^0}{4}[/tex]
[tex]y' = 1 * \frac{25*1}{4}[/tex]
[tex]y' = \frac{25}{4}[/tex]
Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
What is derivative?Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .
Here given relation is 25x-4y=0
[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]
We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.
we can calculate derivative of y with respect to x as
[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]
As 25/4 is constant we can take it out from derivative function as it is
[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]
And we know derivative of a variable with respect to itself is 1
so
[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
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1. Find 7% sales tax on a $48 purchase.
2. Find 6.5% sales tax on a $25 purchase.
3. You markup a $25 tool by 45%. What is the new price?
4. You markup a $40 watch by 75%. What is the new price?
5. You discount a $120 TV by 44%. What is the new price?
6. You discount a $65 coat by 25%. What is the new price?
PLEASE EXPLAIN HOW THAT ANSWER IS CORRECT, PLEASE HURRY! I NEED THIS FILLED OUT ASAP.
The points (2.1, -4.2) and (2.5, -5) form
a proportional relationship. What is the slope of
the line that passes through these two points?
Answer:
m = -2
Step-by-step explanation:
hsavajgsbjxxhisbvzjxb
The slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Recall:
The slope (m) of a line can be calculated using the formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the points that a line passes through are:(2.1, -4.2) and (2.5, -5)
To calculate the slope of the line that passes through both points, let,[tex](2.1, -4.2) = (x_1, y_1)\\\\(2.5, -5) = (x_2, y_2)[/tex]
Plug in the values into the formula:Slope (m) = [tex]\frac{-5 -(-4.2)}{2.5 - 2.1} = \frac{-0.8}{0.4} = -2[/tex]
Therefore, the slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
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Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage
Answer:
72.5%
Step-by-step explanation:
Lets make his score a percentage: 58/80
Now covert it to a percentage: 58/80 = x/100
Cross multiply: 80x = 5800, x = 145/2
Divide 145 by 2: 72 1/2
Answer is 72.5%
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Which of the following is a rational number?
Answer:
B.)
Step-by-step explanation:
A rational number is a number with no repeating decimals or decimals that go on “forever” like pi. An expample of a rational number is 2 where 2.3333333... is not a rational number. Pi isn’t a rational number either since forth there is no known end to that.
So, when solved:
A.) = 1.58113883... (irrational)
B.) = -8 (rational)
C.) = 8.94427191... (irrational)
D.) = 3.794733192... (irrational)
I hope you see the pattern. Hope this helps!
A pet store has 8 dogs, 12 turtle, and 3 cats. Write a ratio for each of the following situations.
Turtles to dogs and cats:
dogs to turtles
Answer:
Turtles to dogs and cats: 12,8,3
dogs to turtles: 8,12
Given m∥n, find the value of x and y.
Answer:
x=15
y=63
Step-by-step explanation:
what is v=1/3Ah solving for A
Answer:
A=3V/h
That is the answer for solving for A
Can someone help me please
Answer:
a. angle 6 and angle 7
b. angle 6 and angle 8
c. angle 3 and angle 1
Step-by-step explanation:
linear pair is two angles that share a base and and add up to 180
vertical angles is the pair of opposite angles formed by two intersecting lines
congruent is the same measure
Answer:
see explanation
Step-by-step explanation:
(a)
A linear pair of angles, are adjacent to each other and sum to 180°
There are 8 linear pairs in the diagram, they are
1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5
(b)
There are 4 vertical angles in the diagram
1 and 3 / 2 and 4 / 5 and 7 / 6 and 8
Note that vertical angles are congruent
Other congruent angles are
2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )
4 and 6 / 3 and 5 ( are Alternate angles )
A recipe for 4 cups of trail mix calls for 2··3cup of raisins. Aniyah has 1 1··2cups of raisins. Does Aniyah have enough raisins to make 14 cups of the trail mix? If not, how many more cups of raisins does Aniyah need?
Answer:
Aniyah does not have enough for 14 cups, and needs 1 1/6 more.
Using the required arithmetic concept, we can conclude that Aniya needs 7/6 more cups.
Representing the problem thus:
4 cups of trail = 2/3 cups of raisins
14 cups of trails = x
Cross multiply
4x = (2/3) × 14
4x = 28/3
x = (28/3) ÷ 4
x = (28/3) × (1/4)
x = 7/3
Cups of raisins Aniya has = 1 1/2 = 3/2
Extra cups needed = 7/3 - 3/2 = 7/6 cups
Therefore, Aniya does not have enough, she needs 7/6 more cups.
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At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end of the baking session, there was 0.98 kilogram of flour in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary.
Answer:
The answer I got was 56.6%.
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4
Answer:
y - 5 = -4(x + 1)
Step-by-step explanation:
The point-slope form is y - k = m(x - h). The point is (h, k): (-1, 5) and the slope is -4.
Here we have y - 5 = -4(x + 1)
The required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)
Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).
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Answer:
X Intercept: (6,0)
Y Intercept: (0,2)
Step-by-step explanation:
Plug y = 0 into the equation and solve the resulting equation −3x = −18 for x. Plug x = 0 into the equation and solve the resulting equation −9y = −18 for y.
The number of sticks of gum varies directly as the number of packages. There are 36 sticks of gum in 2 packages. Suppose you have 5 packages of gum. Write and solve a direct variation equation to determine how many sticks you have
Answer:
36 x 2 = 72
36 divide by 2 = 18
72+18=90
90 is the answer
Step-by-step explanation:
QUICK ANSWER PLEASE
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.
Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.
What is NS?
5 cm
10 cm
20 cm
30 cm