Gerry arrived at the bus stop x hours past noon. Dale arrived 4 hours later. Pat arrived at 5 P.M., x hours after Dale.

At what time did Gerry arrive at the bus stop? [Your answer must include an A.M. or a P.M.]

Answers

Answer 1

Answer:

Gerry arrived at the bus station at 12:30 P.M.

Step-by-step explanation:

From noon and 5:00 P.M. there are 5 hours.

Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.

4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.

If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:

Gerry arrived at the bus station at 12:30 P.M.

Dale arrived at the bus station at 4:30 P.M.

Pat arrived at the bus station at 5:00 P.M.


Related Questions

The nth term of an AP is 12-4n. Find the first term and the common difference.

Answers

Answer:

first term is 8 and common difference d is -4

Step-by-step explanation:

nth term of an arithmetic sequence is: aₙ=12-4n

First term is putting n=1:

aₙ=12-4n

a₁=12-4(1)

a₁=12-4

a₁=8

So, first term a₁= 8

Now finding second term to find common difference

Second term is: n=2

aₙ=12-4n

a₂=12-4(2)

a₂=12-8

a₂=4

So, second term is: 4

The common difference is: a₂-a₁= 4-8 = -4

So, first term is 8 and common difference d is -4 if nth term is 12-4n

Use the change of base rule to find the logarithm to four decimal places. (2 points) log base nine of 0.877.

Answers

Given:

The value is [tex]\log_90.877[/tex].

To find:

The logarithm to four decimal places using the change of base rule.

Solution:

We have,

[tex]\log_90.877[/tex]

Using the change of base rule, we get

[tex]\log_90.877=\dfrac{\log_{10}0.877}{\log_{10}9}[/tex]      [tex][\because \log_yx=\dfrac{\log_ax}{\log_ay}][/tex]

[tex]\log_90.877=\dfrac{-0.057000}{0.9542425}[/tex]

[tex]\log_90.877=-0.0597332439081[/tex]

Round the value to the four decimal places.

[tex]\log_90.877\approx -0.0597[/tex]

Therefore, the required value is -0.0597.

I NEED HELP ONCE AGAIN PLEASE AND THANK YOU IF CORRECT I WILL MARK BRAINLYEST

Answers

Answer:

(5,2)

Step-by-step explanation:

Question is In the image no need for step by step just the answer

Answers

Answer:

A

Step-by-step explanation:

-4x+5y=10. -4x+5y=10. -4x+5y=10

Of the 75 cars that Lindsay saw pass on the highway, 15% had an out-of-state license plate. How many had an out-of- state license plate?​

Answers

Answer:

11.25

Step-by-step explanation:

Answer:

it's 11.25 % . I thik it is helpfull right?

what is the square root of 36

Answers

Answer:

its 6

Step-by-step explanation:

hope it helps......

A car travels 58.8 kilometers in 2.6 hours. What is the car's average speed?

Answers

Answer:

22.6 km/hr

Step-by-step explanation:

58.8/2.6=22.6

The car's average speed is 22.6 kilometers

Assuming only the lengths of the sides of a triangle are given, how can you determine if the triangle has a right angle?

Answers

By the Pythagorean Theorem, the lengths of the sides of a triangle satisfy [tex]a^2+b^2=c^2[/tex] if the triangle is a right triangle (in which case the angle between sides a and b is the right angle).

What is Jamal weight in kilograms if he weighs 156 pounds? Round to the nearest 10th if necessary

Answers

Answer:

70.7604097 in kilograms rounded would be 70.8 kilograms

Step-by-step explanation

Find the x- and y-intercepts of the equation 3x - 7y= 21.
A) x-intercept: (7,0), y-intercept: (0,3)
B) x-intercept: (7,0), y-intercept: (0,-3)
C) x-intercept: (0,7), y-intercept:(-3,0)
OD) x-intercept: (0,-7), y-intercept: (3,0)

Answers

The answer is B X= (7,0) and Y= (0,-3)

x-intercept: (7,0), y-intercept: (0,-3). Therefore, the correct answer is option B.

The given equation of a line is 3x-7y=21.

The x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.

When y=0, we get

3x-7(0)=21

3x=21

x=7

So, the x-intercept is (7, 0)

The y-intercept is the value of the y-coordinate of a point where the value of x-coordinate is equal to zero.

When x=0, we get

3(0)-7y=21

0-7y=21

y=-3

So, the y-intercept is (0, -3)

Therefore, the correct answer is option B.

Learn more about the x-intercept here:

https://brainly.com/question/14180189.

#SPJ6

Point-Slope Form: y - y = m (x - x)
Example: point (2,7) and slope = -4

a) Create the Equation

b) Graph the line

Answers

Answer:

a) y-7=-4(x-2)

B) I don't know how to put a graph on brainly :/

Help me plssssss ( Geometry) answer as much as u can in the photo it would be appreciated!!)

Answers

Answer:

for 7-12 plot the points on a graph. its the rise/run. from the point farthest to the left, go down or up until you are on the same horizontal line. however many units you moved is the first number. (_/?). then from that point, go to the right until to actually land on the point. however many units you used is your second number. The slope will be in a fraction, and sometimes you can turn it into a whole number.

Step-by-step explanation:

Maddie's office recycled a total of 12 kilograms of paper over 4 weeks. How many weeks will it take Maddie's office to recycle a total of 15 kilograms of paper? Assume the relationship is directly proportional.

Answers

Cidoxodoydotcoddiditxigxivocttcoyocot to ot

duffyduck i am mentally unwell sorry

Answers

Answer:

Sorry ♥️

Step-by-step explanation:

Idg but do sorry I hope get well soon❤

Answer: Ugh

Step-by-step explanation:

A new bank customer with $3,000 Wants to open a money market account.The bank is offering a simple interest rate of 1.1%.What will be the account balance after 20 years

Answers

Step-by-step explanation:

here's ..............the answers

Find the missing angle (x).

Help ASAP

Answers

Answer:

x=40

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

180-130=50

180-90-50=40

Can any one help and fast please

Answers

Answer:

we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Step-by-step explanation:

Given the expression

[tex]4 < -2x + 3 < 9[/tex]

SECOND STEP

subtract 3 from the right-hand side as well as on the left-hand side

[tex]4-3 <-2x+3-3<9-3[/tex]

SOLVING THE REMAINING COMPLETE COMPRESSION

[tex]1 < -2x < 6[/tex]

Divide all parts by -2

Please note that multiply or divide an inequality by a negative number flips the inequality sign.

so the expression becomes

[tex]\frac{1}{-2}\:<\:\frac{-2x}{-2}\:<\:\frac{6}{-2}[/tex]

[tex]\frac{1}{-2}\:>x\:<\:-3[/tex]

Hence, from the explanation, we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Solve for w.
5w/8 = 15
solve step by step with a good explanation.
if you get this correct and solve step by step then i will mark you brainliest!

Answers

Answer:

w = 24

Step-by-step explanation:

[tex]\frac{5w}{8}[/tex] = 15

Multiply both sides by 8.

5w = 15 × 8

     = 120

Find w.

w = 120 ÷ 5

w = 24

Which list shows all the factor pairs of 72?
A. 1 and 72, 2 and 36, 3 and 24, 4 and 13, 6 and 12, 8 and 9
B. 1 and 72, 2 and 36, 3 and 24, 4 and 18, 6 and 12, 7 and 9
C. 1 and 72, 2 and 36, 3 and 24, 4 and 18, 6 and 12, 8 and 9
D. 1 and 72, 2 and 36, 3 and 24, 6 and 12, 8 and 9

Answers

Answer:

The answer is C.

Step-by-step explanation:

The answer is C. because for A. 4 * 13 is 52 not 72. For B. 7 * 9 is not 72 its 63. and D. It does not have 4 and 18.

Jessica wants to spend less than $50.00 per month on her cell phone bill. Write an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $50.00. Use the symbol for your inequality.

Answers

Missing part of question:

Jessica pays a flat rate of $20 for her cell phone and is charged $0.05 for every text she sends.

Answer:

20.00 + 0.05x < 50.00

Step-by-step explanation:

Given

Base Amount = $20

Rate = $0.05 per text

Budget = Less than $50.00

Required

Write an inequality that represents the scenario

Let x represents the number of texts

To solve this, the base amount when added to the amount paid for x text must be LESS THAN Jessica's budget.

Mathematically, we have:

Base Amount + Rate * x < Budget

Substitute values for Base Amount, Rate and Budget, this gives:.

20.00 + 0.05 * x < 50.00

20.00 + 0.05x < 50.00

Hence, the inequality that represents the scenario is 20.00 + 0.05x < 50.00

Solving further for x, we have:

20.00 + 0.05x < 50.00

Collect Like Terms

0.05x < 50.00 - 20.00

0.05x < 30.00

Solve for x

x < 30.00/0.05

x < 600

This means that she must send less than 600 text messages.

SOLVEDDDDDDDDDDDDDDDD!!!!

Answers

Answer:

??????????????

...........

A plane takes off from an airport and travels at a steady speed of 350 miles per hour. Which of these graphs best represe
the airport, y, after traveling for x hours?
FLIGHT OF AIRPLANE

Answers

Answer:

A

Step-by-step explanation:

I found the answer

Divers erected a cage in a shape of an upright cylinder on rhe ocean floor for protection. The diameter of the base measures 32 feet. How much space on the ocean floor does the cage have

Answers

Answer:

The cage will cover an area of 805 ft^2 on the Ocean floor

Step-by-step explanation:

To calculate the amount of space the cage has on the Ocean floor, we calculate the area of the base of the cylinder

Mathematically, that will be pi * d^2/4

= 22/7 * (32 * 32)/4

= 22/7 * 256 = 804.5714285714286

The cage will cover an area of 805 ft^2 on the ocean floor

100 times 90 times 5 plus 5

Answers

Answer:100 times 90 times 5 plus 5 is

Step-by-step explanation:45005 plz give brainlyist i Need it

If u answer this correctly u get brainliest.

Answers

Answer: 4 and 5

Step-by-step explanation: supplementary is 2 angles that sum up to 180 degrees

Answer:

Angle 4 and angle 5

Step-by-step explanation:

Supplementary means that both angles add up to 180 degrees

Estimate by using compatible numbers.
187 x 16 = _____
A.200 x 6 = 1,200
B. 200 x 20 = 4,000
O C. 185 x 6 = 1,110
D. 185 x 16 = 2,960
Answer or this cat will be in ur room 4 ever​

Answers

Answer:

LMF.AO Try D it's the most compatible number set

in the formula c=prn, p stands for?

Answers

Answer:

Price per item

Step-by-step explanation:

Answer:

Price Per Item

Step-by-step explanation:

The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is a.√3 m b.2√3 m c.5√3m d.10√3 m

Answers

Answer: d

Step-by-step explanation:

Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower.  The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.

Given:

b = a · tanβ

tan(30°) = √3/3

Step 1:  Solve

b = (30/1) · (√3/3)

b = (30 · √3) / (1 · 3)

b = (30√3) / (3)

b = 10√3

What is the greatest common factor of 14 and 56?
A. 7
B. 14
C. 21
D. 28
answer me!!!!!!!!¹²³⁴⁵⁶⁷⁸⁹⁰​

Answers

Answer:

B. 14

Step-by-step explanation:

The Greatest Common Factor (GCF) for 14 and 56, notation CGF(14,56), is 14.

Explanation:

The factors of 14 are 1,2,7,14;

The factors of 56 are 1,2,4,7,8,14,28,56.

So, as we can see, the Greatest Common Factor or Divisor is 14, because it is the greatest number that divides evenly into all of them.

Answer: The greatest common factor is B-14

Show work:

The factors of 14 are: 1, 2, 7, 14

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56


The common factors are 7 and 14 but you are looking for the GREATEST common factor so the greatest between 7 and 14 is.... B-14

A gardener is planting two types of trees: Type A is 10 feet tall and grows at a rate of 19 inches per year. Type B is 4 feet tall and grows at a rate of 25 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

Answer:

It'll take 12 years

Step-by-step explanation:

Given

Type A:

[tex]Initial\ Height = 10ft[/tex]

[tex]Growth = 19in[/tex]

Type B:

[tex]Initial\ Height = 4ft[/tex]

[tex]Growth = 25in[/tex]

Required

Determine the years they'll reach the same height

First, convert feet to inches in both measurements (this is done by multiplying measurement by 12):

Type A:

[tex]Initial\ Height = 10ft[/tex]

[tex]Initial\ Height = 10 * 12in[/tex]

[tex]Initial\ Height = 120in[/tex]

Type B:

[tex]Initial\ Height = 4ft[/tex]

[tex]Initial\ Height = 4 * 12in[/tex]

[tex]Initial\ Height = 48in[/tex]

The height at any year from both trees is calculated using

[tex]Height = Iniital\ Height + Growth * x[/tex]

Where x represents the year;

For Type A:

[tex]Height = 120+ 19 * x[/tex]

[tex]Height = 120+ 19x[/tex]

For Type B:

[tex]Height = 48+ 25 * x[/tex]

[tex]Height = 48+ 25x[/tex]

To get when their height will be equal, we simply equate both expressions:

[tex]48+ 25x = 120 + 19x[/tex]

Collect Like Terms

[tex]25x - 19x= 120 - 48[/tex]

[tex]6x= 72[/tex]

Solve for x

[tex]x = 72/6[/tex]

[tex]x = 12[/tex]

Hence, It'll take 12 years

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