Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 40 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?

Answers

Answer 1

Answer:

120 minutes

Step-by-step explanation:

15 x 8 = 120

40 x 3 = 120

Answer 2

The Number of hours passed for both buses to arrive at the same time is the value of the least common multiple of the stop made by each bus. Hence, 120 minutes will pass before the buses arrive at the same time.

Bus route A = 15 minutes

Bus route B = 40 minutes

Multiples of :

15 = 15, 30, 45, 60, 75, 90, 105, 120, 13540 = 40, 80, 120, 160, 200, 240

The least multiple common to both 15 and 40 is 120.

Therefore, 120 minutes will pass before both buses arrive at the same time.

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Related Questions

Estimate the sum to the nearest tenth: (-2.678) + 4.5 + (-0.68) What is the actual sum?

Answers

Answer: the first one is 1.1 and the last one is 1.142

Step-by-step explanation: i just answered the question :))

Answer:

1.1 and 1.142

Step-by-step explanation:

get it right on edge

WILL MARK BRAINLIST thank you

Answers

Answer:

f(x) = [tex]3^x[/tex]

Step-by-step explanation:

This doesn't really look like a linear model, so it might be exponential.

Let's write the equation: y = a[tex]b^x[/tex]. Plug in a few values for y and x to find a and b:

9 = a[tex]b^2[/tex]  ⇒  a = 9/b²

27 = a[tex]b^3[/tex]  ⇒  a = 27/b³

Set these equal:

9/b² = 27/b³

9b = 27

b = 3

Plug this in to find a:

a = 9/b² = 9/9 = 1

The equation is:

f(x) = [tex]3^x[/tex]

Answer:

Y = 3^X

Step-by-step explanation:

this is an exponential function

Y = a(b^X)

9 = ab²

27 = ab³

b = 3

9 = a(3)²

a = 1

PLEASE HELP ASAP


1) (7.01, 7.02, & 7.03) Choose a trinomial to factor. Show ALL work: 3x2 − 15x + 18 10a2 + 5a − 30 4n2 − 10n − 24

2) (7.05) Using the function from question #1, determine the zeros & the y-intercept of the function. Show ALL work, then GRAPH.



3) (7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36







Write in factored form: ( )2



4) (7.04) Determine the expression that shows a difference of perfect squares and factor it, showing ALL work.
16x2 − 81
14x2− 49
9x2 + 100

Answers

Answer:

1) 3x² - 15x + 18

2) y-intercept: 18

Zeros: 2 and 3

3) 12x ; (x - 6)²

4) 16x² - 81; (4x - 9)(4x + 9)

Step-by-step explanation:

3x² - 15x + 18

3(x² - 5x + 6)

3[x² - 2x - 3x + 6]

3[x(x - 2) - 3(x - 2)]

3(x - 2)(x - 3)

x - 2 = 0

x = 2

x - 3 = 0

x = 3

Zeros: 2 and 3

y-intercept: at x = 0

3(0-2)(0-3) = 18

x² - 2(x)(b) + 6²

b = 6

2x(6) = 12x

(x - 6)²

16x² - 81

(4x)² - 9²

(4x - 9)(4x + 9)

Hello everybody! If anybody could help me out that would be amazing!
Here are the answer choices:
-132
-560
- -130
- -458
- -214
-210

Answers

Answer:

-132, -560, -210

Hope this helps!

(Please mark brainliest!)

The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did not report fatigue.

Which calculation shows that selecting a subject who took the drug and selecting a subject who reported fatigue are dependent events?

Choose all answers that are correct.

— P(drug) = 0.6
P(drug | fatigue) ≈ 0.727
0.6 ≠ 0.727

— P(fatigue) = 0.44
P(fatigue | drug) ≈ 0.533
0.44 ≠ 0.533

— P(drug) = 0.6
P(fatigue) ≈ 0.44
0.6 ≠ 0.44

—P(drug and fatigue) = 0.32
P(drug) • P(fatigue) = 0.264
0.33 ≠ 0.264

Answers

Answer:

Therefore, the correct options are;

-P(fatigue) = 0.44

[tex]P(fatigue \left | \right drug)[/tex] = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Step-by-step explanation:

Here we have that for dependent events,

[tex]P(A \, and \, B)= P(A)\times P(B\left | \right A )[/tex]

From the options, we have;

[tex]P(fatigue \left | \right drug)[/tex] = 0.533

P(drug) = 0.6

P(drug and fatigue) = 0.32

Therefore

P(drug and fatigue) = P(drug)×[tex]P(fatigue \left | \right drug)[/tex]  

= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)

Therefore, the correct options are;

-P(fatigue) = 0.44

[tex]P(fatigue \left | \right drug)[/tex] = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.

The table shows the circumference of a tree in centimeters, y, at x years. Choose the function that represents the data.The table shows the circumference of a tree in centimeters, y, at x years. Choose the function that represents the data.

Answers

Answer:

B

Step-by-step explanation:

On edge

Answer:

y=2.7x

Step-by-step explanation:

The five-number summary for the number of teams in each of Brad's fantasy football leagues is shown in the following table.
4, 10, 14, 18
The five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than how many teams?

Answers

Answer:

10.

Step-by-step explanation:

Answer:

10

Step-by-step explanation: I GOT IT RIGHT BOIIIII

Salma wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simple interest. They lend her $4000 for 2 years. She makes no payments except the one at the end of that time.


(a) How much total interest will Salma have to pay?


(b) What will the total repayment amount be (including interest)?

Answers

Answer:

Total Interest at the end of two years will be $320. She will owe a total repayment amount of $4000 plus $320 for a total of $4320.

Step-by-step explanation:

Hope this helps.

please help!! thanks!!

Answers

Answer:

question must be wrong or i read it wrong

Step-by-step explanation:

4x + 116 = 180 ..sum of exterior angles

x = 16

2x - 3y + 4x = 180 ...sum of st. line

3y = 6 * 16 -180

3y = -84....False

Which of the following equations have exactly one solution?
Choose all answers that apply:
A
-5x + 12 = 5x + 12
®
-5x + 12 = 5x – 5
©
-5x + 12 = -12x – 12
)
0
-5x + 12 = -5x – 12
Show Calculator

Answers

Final answer:

Upon evaluating each equation, it is determined that options B (-5x + 12 = 5x - 5) and C (-5x + 12 = -12x - 12) are the ones that have exactly one solution, while options A and D have no solutions.

Explanation:

To determine which of the given equations have exactly one solution, we can analyze each equation individually:

A. -5x + 12 = 5x + 12: Both sides of the equation are equal except for the opposite signs of the x terms. This means that, no matter what value x takes, the x terms will cancel each other out, making the equation incorrect. Hence, this equation has no solutions.B. -5x + 12 = 5x - 5: The x terms here can be moved to one side and the constants to the other. Adding 5x to both sides gives -5x + 5x + 12 = 5x + 5x - 5, simplifying to 12 = 10x - 5. Thus, this equation can be solved for x, indicating it has exactly one solution.C. -5x + 12 = -12x - 12: Again, we move all x terms to one side and the constants to the other to get -5x + 12x = -12 - 12, simplifying to 7x = -24. Solving for x, we get x = -24/7, indicating that this equation also has exactly one solution.D. -5x + 12 = -5x - 12: In this equation, the x terms are identical on both sides, meaning they will cancel out, leaving us with 12 = -12, which is never true. Hence, this equation has no solutions.

From this analysis, we see that options B and C have exactly one solution.

Using the figure on the left, what is the measure of ∠ZWY and ∠ZYW? 60° + c° + 90° = 180° c = ? c° + d° + 90° = 180° d = ?

Answers

Answer

the first one is 30 and the second one is 60

Step-by-step explanation:

Answer:

the first one is 30 and the second one is 60

Step-by-step explanation:

Leslie measures around his bike wheel. Then
he measures its diameter. He divides the
circumference by the diameter. What was
the quotient?
A. 2
B. 3
C. 3.14
D. Pi


Pls answer asap!!!

Answers

The right answer is c

What is the radius and diameter of the following circle

Answers

Answer:

Radius: 16cm

Diameter: 32cm

Step-by-step explanation: Diameter 2 times the radius. Pls give me brainliest

Answer:

Radius=16 cm Diameter=32 cm (let me know if it is for some reason incorrect)

Step-by-step explanation:

Diameter (just multiply the radius by 2)=32 cm

Radius (the length from the perimeter to the center)=16 cm

what is the area of the rectangle ?

Answers

Answer:

54.

Step-by-step explanation:

The area is length x width.

6 x 9 = 54

HELP ME WITH THIS MATH PROBLEM !!!

Answers

Answer: C. (25,10)

Step-by-step explanation:

Answer:

I believe its A. I'm not so sure thought so if its a test don't put it unless you are sure.

Step-by-step explanation:

Which equation can be rewritten as x + 4 = x2?

Answers

Answer:

x^2 - x - 4

Step-by-step explanation:

I'm not sure if this is the answer you're looking for...

Answer:

x2= x + 4 is the answer. Have a great day.

Step-by-step explanation: brainliest please!!

The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to pay each month?

Answers

Answer:

148.35

Step-by-step explanation:

43%of345=148.35

Answer:The Amount tom has to pay is $196.65 therefore, Option b is correctStep-by-step explanation:Tom recieves 43% of total monthly premiumThat means out of 100%  he is getting 43% he has to pay (100%-43%)= 57% of $345.00The amount Tom has to pay each month is  it will become Therefore,The Amount tom has to pay is $196.65 that is option b is correc

Find the value of X in this equilateral triangle.

Answers

Answer:

x=4

Step-by-step explanation:

Since this is an equilateral triangle, all the sides are equal

6x = 4x+8 = 3x +12

Using the last 2 parts

4x+8 = 3x +12

Subtract 3x from each side

4x-3x +8 =3x+12-12

x+8 = 12

Subtract 8 from each side

x+8-8=12-8

x = 4

Each ruby in the crowns 1/2carat.How many total carats are the rubies?

Answers

Answer:

how many rubys are there

Step-by-step explanation:

Answer:

Well I do know that there is 2,800mg in 14 carat diamonds

(sorry if this didn't answer your question)

What points are the vertices of this polygon? Select all
that apply.
(1,2)
(2.1)
(-2. -3)
(-3,-2)​

Answers

Answer:

A, c, d, F

Step-by-step explanation:

Answer:

(2, 1) (–3, –2) (–3, 4)

Step-by-step explanation:

2(3s+5) + 4(6-3s) will u help me plz help me

Answers

Answer:

If the question is asking you to simplify, here is the simplified equation:

-6s+34

Step-by-step explanation:

Distribute the 2 and 4:

6s+10+24-12s

Simplify:

-6s+34

Louise sold 340 soft pretzels. If she sold them in groups of 17 soft pretzels, how many groups did she sell? A. 22 B. 20 C. 19 D. 21

Answers

it isn’t allowing me to answer but it’s 20 if this shows up

Answer:

B) 20

Step-by-step explanation:

340/17=20

Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number of red cars. How many cars are white? A) 24 B) 47 C) 48 D) 51

Answers

Answer:

D.51

Step-by-step explanation:

I saw this question was already asked and answered so i just gave the answer but if you want the explanation just search your question.

A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.

What is the sample size?




The margin of error for this data set is 2.5%. What is the 95% confidence interval using only 1 decimal?

Answers

Final answer:

The sample size for the Gallup poll is 1,627 adults. For the 95% confidence interval with a 2.5% margin of error and an engagement rate of 22%, the interval is (19.5%, 24.5%).

Explanation:

The sample size mentioned in the Gallup poll is 1,627 adults. To calculate the 95% confidence interval for the estimated proportion of adults who felt fully engaged with their mortgage provider, we use the provided percentage (22%) and the margin of error (2.5%).

The confidence interval formula is:

Confidence Interval = Estimate ± Margin of Error

In this case, the point estimate is 22% (or 0.22 as a decimal). The margin of error (MOE) is 2.5% (or 0.025 as a decimal).

To find the confidence interval, we subtract and add the margin of error from the point estimate:

Lower limit = 0.22 - 0.025 = 0.195

Upper limit = 0.22 + 0.025 = 0.245

Therefore, the 95% confidence interval in decimal form is (0.195, 0.245). Converting to percentages and rounding to one decimal place, we obtain:

95% Confidence Interval: (19.5%, 24.5%)

The sample size for the Gallup poll is 1,627 adults. 95% confident that the true proportion of all adults who feel fully engaged with their mortgage provider is between 19.5% and 24.5%.

To find the 95% confidence interval, we use the formula for a confidence interval for a proportion, which is given by:

[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}} \][/tex]

where:

- [tex]\( \hat{p} \)[/tex] is the sample proportion (0.22 in this case),

- Z is the Z-score corresponding to the desired confidence level (1.96 for 95% confidence),

-  n is the sample size (1,627 in this case).

 The margin of error (ME) is calculated by:

[tex]\[ ME = Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}} \][/tex]

Given that the margin of error is 2.5%, we can solve for the standard error (SE) and then use it to find the confidence interval.

[tex]\[ ME = Z \times SE \] \[ 0.025 = 1.96 \times SE \] \[ SE = \frac{0.025}{1.96} \] \[ SE \approx 0.01276 \][/tex]

Now we can find the confidence interval:

[tex]\[ \text{Lower bound} = \hat{p} - ME = 0.22 - 0.025 = 0.195 \] \[ \text{Upper bound} = \hat{p} + ME = 0.22 + 0.025 = 0.245 \][/tex]

Therefore, the 95% confidence interval for the proportion of adults who felt fully engaged with their mortgage provider is approximately (19.5%, 24.5%).

Name one type of graph you've seen that helps organize numerical data.

Answers

A bar graph or line graph.

Answer: A bar graph

Step-by-step explanation: A bar graph helps reperesent numerical data, and is easily organized.

I hope this helps!

How to find the mean and standard deviation of the sampling distribution of the sample proportion when a random sample of 100 people were chosen based on a study at 76% of Americans believe

Answers

Answer:

bvcxz

Step-by-step explanation:

If the arc of a circle has length 10π and the circumference of the circle is 30π, what is the measure of the central angle that intercepts the arc?

Answers

We have been given that the arc of a circle has length 10π and the circumference of the circle is 30π. We are asked to find the measure of the central angle that intercepts the arc.

We will use arc length and circumference of circle formula to solve our given problem.

[tex]l=r\theta[/tex], where,

l = Arc length,

r = radius,

[tex]\theta[/tex] = Central angle that intercepts to arc.

[tex]C=2\pi r[/tex], where C represents circumference of circle.

We can solve for radius using circumference formula as:

[tex]30\pi=2\pi r[/tex]

[tex]\frac{30\pi}{2\pi}=\frac{2\pi r}{2\pi}[/tex]

[tex]15=r[/tex]

Upon substituting arc length and radius in arc length formula, we will get:

[tex]10\pi =15\theta[/tex]

[tex]\frac{10\pi}{15} =\frac{15\theta}{15}[/tex]

[tex]\frac{2\pi}{3} =\theta[/tex]

Therefore, the measure of central angle that intercepts the arc would be [tex]\frac{2\pi}{3}[/tex].

For 15 points please help

Answers

Answer:

The movers will need 3 crib-jacks

Step-by-step explanation:

Since each crib jack can lift 30,000lbs, and without the belongings it only weighs 90,000, which divided by 30,000 equals 3.

Which equation represents a line that passes through the two points in the
table?
| 6|6|
O A. y+6 - (x +6)
O B. y-1-(x-3)
O C. y-5-2 (x - 5)

Answers

Answer:

B I think

Step-by-step explanation:

The lines is represented by,

(D) y - 1 = 5/3 ( x - 3)

What is mean by equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides.

As, the solution given:

put x=3

y-1 = 0

y=1

Similarly, x= 6

y-1= 5/3 (3)

y-1 = 5

y=6

Hence, the lines represent y-1 = 5/3 ( x- 3)

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

There are 213 guests waiting in line for a water-rafting ride at Splash Pad Water
Park. A maximum of 7 people can ride a raft at one time. What is the smallest
number of rafts the water park needs for this number of guests? HINT: Is there a
remainder in this problem? If so, solve the division problem and then go back and
read the question again carefully. *
Your answer​

Answers

Answer:

I divided 213 and 7 and the answer was 30.4.  So the answer is 30 rafts.

Step-by-step explanation:

Divide the 2 numbers..... 213/7=30.42855714

Round the decimal to the nearest tenth..... 30.4

Round 30.4 to the nearest whole..... 30

I hope I've helped! Please leave a Vote and Thanks!

Final answer:

The smallest number of rafts the water park needs for 213 guests waiting in line is 31.

Explanation:

To determine the smallest number of rafts needed for 213 guests, we divide the total number of guests by the maximum number of people that can ride a raft at one time.

Dividing 213 by 7, we get a quotient of 30 and a remainder of 3.

Since we cannot have a partial raft, we need to add another raft to accommodate the remaining 3 guests. Therefore, the smallest number of rafts the water park needs is 31.

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