Bus A and Bus B leave the 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 have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
3:15 pm
Step-by-step explanation:
You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.
The least common multiple of two whole numbers is 28 the ratio of the greater number to the lesser number is 7:2 what are the two numbers
Answer:
14, 4
Step-by-step explanation:
First things first, we can name out pairs with the ratio of 7:2.
7, 2
14, 4
21, 6
We can then test these pairs out with the first condition and find the answer.
The least common multiple has to be 28:
LCM(7, 2) = 14
LCM(14, 4) = 28
Ah, ha! We can see that the least common multiple of 14 and 4 is 28.
is y=2/3x+2 proportional
In Need of help please Help :c
Answer:
proportional: A, B, D, G, Inon-proportional: C, E, F, HStep-by-step explanation:
Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.
C has an initial value of 7
E has a y-intercept of -3
F has an initial value of 2.00
H has an initial value of 5
All of these are non-proportional. The remainder are proportional.
The angle measures of an isosceles triangle are shown. Find the value of w.
Answer:
w= 7
Step-by-step explanation:
8w + 9w - 1 + 62 = 180
17w + 61 = 180
17w = 119
w = 7
What is the number of solutions to the system of
equations?
Infinitely Many
Solutions
No Solution
One Solution
Two Solutions
f(x) = -3x – 1
g(x) = x2 + 6x – 12
Find: g(f(x))
Find g(f(x)) f(x)=3x^2+6x-4 g(x)=-3x+4. f(x)=3x2+6x−4 f ( x ) = 3 x 2 + 6 x - 4 g(x)=−3x+4 g ( x ) = - 3 x + 4. Set up the composite result function.
Which quantity of fruit contains an amount of vitamin C closest to the combined
amount of vitamin C in 50 g grams of acerola cherries and 150 g grams of
kiwifruit?
A. 2,000 g grams of black currants
B. 800 g grams of guava
C. 1,800 g grams of pineapple
D. 600 g grams of strawberries
Answer:
c would be the closest due to the total amount of vitamin c in the objects.
The quantity of fruit which contains an amount of vitamin C closest to the combined content is: C. 1,800 g grams of pineapple.
How to calculate the amount of vitamin.In this exercise, we would determine the amount of vitamin C that is present in a combination of 50 grams of acerola cherries and 150 grams of kiwifruit.
For acerola cherries:
100 grams of acerola cherries = 1678 mg.
50 grams of acerola cherries = X mg.
Cross-mutiplying, we have:
X = 83,900/100 = 839 mg.
For kiwifruit:
100 grams of kiwifruit = 105 mg.
150 grams of kiwifruit = Y mg.
Cross-mutiplying, we have:
Y = 15,750/100 = 157.5 mg.
Combine vitamins = 157.5 + 839 = 996.5 mg.
Based on intuition, we would choose 1,800 grams of pineapple.
100 grams of pineapple = 56 mg
1,800 grams of pineapple = Z mg.
Cross-mutiplying, we have:
Z = 100,800/100 = 1008 mg.
Thus, 996.5 mg of vitamin C is closest to 1008 mg.
Note: If you do the above computations for other quantities of fruit, you'll get a value far from 996.5 mg.
Read more on vitamins here: https://brainly.com/question/9348916
⦁ The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%
Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:
C. 5.48%
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].
The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4000 - 3200}{500}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548 = 5.48%.
Hence option C is correct.
More can be learned about the normal distribution at https://brainly.com/question/24663213
FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).
What equation shows the correct rule for the function q?
q(x)=21x
q(x)=21x−3
q(x)=21x+9
q(x)=21x+3
Answer:
last one
Step-by-step explanation:
Answer: the correct answer is B the guy above me is wrong
Step-by-step explanation:
I don’t pay attention in classs Why are the plants in the picture classified as vascular?
A. They reproduce by seeds.
B. They grow in damp forests and along river banks.
C. They reproduce by spores.
D. They have tubes for carrying water and food.
Answer:
A
Step-by-step explanation:
Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land
Please show work!!!!
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answer:
The length of the base of this parallelogram is 34.2
Step-by-step explanation:
To calculate the length, we work backward and calculate the base by doing area/height
We have 690.84/20.2 = 34.2
I hope this explained your confusion
Solve for x (thank you!)
5/8 = 21/ (21+y)
there’s the equation, just solve for “y” from there!
Point slope form question
How would I turn (2,-5) (-3, 10) into a point slope equation?
Answer:
y+5=-3(x-2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-(-5))/(-3-2)
m=(10+5)/-5
m=15/-5
m=-3
y-y1=m(x-x1)
y-(-5)=-3(x-2)
y+5=-3(x-2)
pls help me pls help me pls help me
Answer:
C. 35
Step-by-step explanation:
First, let's put the first notebook.
1 2 3
1 2 4
1 2 5
1 2 6
1 2 7
We lose 1 step at each time.
1 3 2 is not ok because 1 2 3 is same as 1 3 2
5+4+3+2+1
Next, the other one.
4+3+2+1
3+2+1
2+1
1
5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=35
35 different ways
please help me, and be nice, don't be a jer.k (you know who you are..)
ty :)
Answer:
y=-1/2x+3
Step-by-step explanation:
Step-by-step explanation:
Subtract x both sides
2y = 6 + (-x)
Divide by 2 both sides
y = 3 + (-1/2x)
y = -1/2x + 3
On a certain hot summer's day, 421 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $788.50. How many children and how many adults swam at the public pool that day?
There were _ children at the public pool.
There were _ adult at the public pool
Answer:
214 children and 207 adults
Step-by-step explanation:
214 x 1.75=374.5
207 x 2 = 414
414 + 374.5 = 788.5
Darin bought a new pair of soccer cleats for $59.99. The sales tax is 6.5%. What is the total cost the Darin will pay?
Answer: $63.89
Step-by-step explanation:
In order to find the answer, you have to add the amount charged for the soccer cleats plus the amount of the sales tax.
[tex]59.99 + .065(59.99) = $63.889[/tex]
$63.889 rounded is equal to: $63.89pls help asap
Twenty-seven minus 3/2 of a number (x) is not more than 36. What is the number? A. x > 42 B. x ≥ -6 C. x < 3 D. x ≤ -6
Answer: B.) x ≥ -6
Step-by-step explanation:
How many 4th cups of flour are in 3 3/4 cups
Answer: 12 cups
Step-by-step explanation:
In one vending machine, 5 white milk are sold for every 6 chocolate milk. If 20 white milk are sold, how many chocolate milk are sold?
Answer:
Its easy
Step-by-step explanation:
[tex]20 = 5 \times 4[/tex]
[tex]20 = 5 \times x \\ x = 4[/tex]
So we know the x is four so it will be like this
[tex]6 \times 4 =x \\ x = 24[/tex]
So there were sold 24 chocolate milks
Hope this helps
Answer:
24
Step-by-step explanation:
because
5____6
20___x
Proportion: x=20*6/5=24
Which functions could be represented by the graph? Check all that apply.
f(x) = | x + 0.14|
f(x) = |x| + 1.3
f(x) = |x – 7|
f(x) = |x + 12|
f(x) = |x| – 17
f(x) = |x – 23|
The possible functions are:
[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]
The parent function of an absolute value function is:
[tex]f(x) = |x|[/tex]
From the diagram (see attachment), we can see that the function is shifted to the right by few units.
The rule of this translation is:
[tex](x,y) \to (x + b,y)[/tex]
Where b represents the number of units.
So, we have:
[tex]f(x) = |x + b|[/tex]
From the list of given options, the possible functions are:
[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
Answer:
c and f are correct
Step-by-step explanation:
Solve.
[tex] \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } + \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } [/tex]
Solve.
Step-by-step explanation:
Hope it will help you a lot.
Please help me Find the slope please no links or bots please and thank you please actually help me please
Answer:
-1/2
Step-by-step explanation:
The first point is (-3,0) and the second point is (-1,-1). To find slope you do change in y over change in x. So (-1-0)/(-1--3) or -1/2 which is your slope.
X=8,2x+y=12 solve by substitution show work
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's substitute the value of x as 8 in the given equation to find the value of y ~
[tex] \sf2x + y = 12[/tex][tex] \sf(2 \times 8) + y = 12[/tex][tex] \sf16 + y = 12[/tex][tex] \sf y = 12 - 16[/tex][tex] \sf y = - 4[/tex]PLEASE help
xº
520
38°
220°
X = degrees
Step-by-step explanation:
by complete angle
x+38+52+220=360
x+310=360
x=360-310
x=50
Does anyone know how to solve this? Please helppp, I’m so confused
Answer:
y = 65 degree
x = 50 degree
Step-by-step explanation:
I believe that’s right
The two angles in the isosceles triangle are 50 and 65 degrees .
An isosceles triangle has two equal sides and two equal angles.
Consider that the one angles in the triangle is x degrees and the bottom angle is 65 degrees.
Then we have:
65 = y
(The sum of all angles in a triangle is 180 degrees.)
Then Simplifying the equation:
65 + 65 + x = 1802
x = 180 - 65 - 65
x = 50 degrees
Therefore, the two angles in the isosceles triangle are 50 and 65 degrees .
Learn more about angles here;
https://brainly.com/question/13954458
#SPJ2
Please help me with this question.
56:32=k:28 what is k?
Therefore, k = 49.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Edward deposited $10,000 into a savings account 3 years ago. The simple interest rate is 4%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest = $_• • years
Answer: 10,400
Step-by-step explanation:
I= ? P= 10,000 R= 4% T= 3 yrs