A ship traveling east at 45 mph is 15 mi from a harbor when another ship leaves the harbor traveling east at 60 mph. How long does it take the second ship to catch up to the first ship?

Answers

Answer 1

Answer:

  1 hour

Step-by-step explanation:

I find these easiest to work by considering the initial difference in distance and the speed at with that gap is closing.

__

The gap is 15 miles, the distance the first ship is from harbor when the second ship starts.

The rate of closure is the difference in the speeds of the two ships:

  60 mph -45 mph = 15 mph

Then the closure time is ...

  time = distance/speed

  time = (15 mi)/(15 mi/h) = 1 h

It will take the second ship 1 hour to catch up to the first ship.


Related Questions

⚠️QUESTION ON PIC THANKS

Answers

Answer:

23, 21, 19, 17

Step-by-step explanation:

f(3)=29-2(3)=29-6=23

f(4)=29-2(4)=29-8=21

f(5)=29-2(5)=29-10=19

f(6)=29-2(6)=29-12=17

67 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think the answer is 5

Hopefully it works :)

Step-by-step explanation:

Answer:

9:45

Step-by-step explanation:

Tell me if you need an explanation



12. Mr. Carter is making a dessert using
9/10 pound of peaches and 5/10pound of raspberries. How much more peaches than raspberries is he using?

Answers

Answer: 2/5 pounds

Step-by-step explanation:

2/5 pounds more peaches

What's the answer to 3 4/5÷2/5

Answers

I’m pretty sure it’s 9 1/2 or 9.5
Hope this helps!

i need help with this one

Answers

Answer:

  5.925 pints

Step-by-step explanation:

The rest of the paint is 1 -1/4 = 3/4 of the total amount:

  (3/4)(7.9 pt) = 5.925 pt

Sharon used 5.925 pints of blue paint to paint her bedroom walls.

the price of milk increased by 8 percent.If the original price is R10,84,what is the new price? step by step explanation

Answers

Answer:

If the price of a product decreases from $10 to $8, leading to an increase in quantity demanded from 40 to 60 units.

Step-by-step explanation:

Answer ples I’d like it a lot

Answers

I think yes because the candy would represent x and as long as x isn’t repeated it’s a function

Write a real-life word problem that corresponds to the equation below.

x2 = 144
Scoring Rubric
Scoring Rubric

Sample Responses:
Shane has a square garden. The area of the garden is 144 square feet. What is the side length of the garden?

Zane has a square frame that has an area of 144 square inches. What is the side length of the frame?

The area of Kelly’s square dog kennel is 144 square meters. What is the side length of the dog kennel?

Kylee’s bedroom is in the shape of a square and has an area of 144 square feet. What is the length of one wall?

2 Points
The response indicates proficiency in representing quadratic equations by writing a real-life word problem that matches a given equation. The student correctly completes the task.

1 Point
The response indicates partial proficiency in representing quadratic equations by writing a real-life word problem that matches a given equation. The student correctly completes the task but makes a minor error. Answers that give a word problem but do not involve a real-life situation receive 1 point.

0 Points
The response indicates no proficiency in representing quadratic equations by writing a real-life word problem that matches a given equation. The student shows no understanding of the concept or task. Answers that solve the quadratic equation but do not give a word problem receive 0 points.

Answers

The real life problem that corresponds to the equation will be "The area of a farmer's square garden is 144 square feet. What is the length of the garden?"

How to solve the equation

A real-life word problem that corresponds to the equation x² = 144 will be that the area of a farmer's square garden is 144 square feet. What is the length of the garden?

In this case, the length of the garden will be the square root of 144. This will be calculated thus:

x² = 144

x = ✓144

x = 12

Therefore, the length of the garden is 12 feet.

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select the correct answer from each drop-down menu. How are confidence intervals affected by interval size? When creating a confidence interval, higher confidence corresponds to a smaller or larger interval, and lower confidence corresponds to larger or smaller interval. ​

Answers

Answer:

When creating a confidence interval, higher confidence corresponds to a   larger   interval, and lower confidence corresponds to a   smaller   interval.

==============================================

Explanation:

Imagine you are going fishing for an elusive sea creature of some kind. Casting a very wide net means we are more confident in catching the creature, in comparison to using a smaller net.

The fishing net is analogous to the width of the confidence interval. The wider the confidence interval, the more confident that we're capturing the parameter we're trying to measure.

Answer:

1.) larger 2.) smaller

(props to the other answers)

Step-by-step explanation:

help me plz btw good morning​

Answers

Answer:

1. gcf: 6 lcm: 660

2. gcf: 2 lcm: 308

3. gcf: 7 lcm: 56

4. gcf: 2 lcm: 220

5. gcf: 1 lcm: 52

Step-by-step explanation:

Hope this helps :)

Please answer these questions quick thank you!

Answers

Answer:

3

Step-by-step explanation:

5. Yesterday your friend made 1 gallon of dark pink paint using the information in the table.
Today she needs to make 3 more gallons of the same shade. She says that she should add 9 parts red tint and 2 parts white tint to 3 gallons of base paint. Explain the error in her reasoning.

Answers

Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.

How to calculate how much paint you need to make 3 gallons of Pink paint?

To mix 3 gallons of pink paint we must take into account the following information:

1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.

To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.

Red paint:

3 x 3 = 9

White paint:

1 x 3 = 3

Based on the above, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.

Note: This question is incomplete because the graph is missing. Here is the graph.

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You ask your best friend to lend you ₹300, to buy your favourite toy. She says she can lend you the money only if you give her an extra ₹3, for every three months that pass before you return it.

Answers

Answer:

your friend asks for RS 3 every three months, so in 9 months, you have to pay 9 RS extra so the amount you must play after 9 months is 309. the annual rate of interest will be basically the money you will have to give her after 12 month period which will be 12 rs. the annual rate of interest is 12pcpa

In a school that totals 780 students, only 25% take the bus to school. How many students take the bus to school?

Answers

25% of 780 is 195 so 195 ppl take the bus

In ABC find a if b = 2, C = 6, and A=35°

Show work plzz!!!!

Answers

This problem cannot satisfy the triangle inequality. The triangle cannot be constructed and therefore solved.  

a = 35

b = 2

c = 6

b+c ≤ a

2 + 6 ≤ 35

41 ≤ 35

The sum of the lengths of sides b, c must be greater than the length of the remaining side a.

Answer:

[tex]a=1.749[/tex]

Step-by-step explanation:

Recall Law of Sines

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Solve for angle B

[tex]A^\circ+B^\circ+C^\circ=180^\circ\\35^\circ+B^\circ+6^\circ=180^\circ\\41^\circ+B^\circ=180^\circ\\B^\circ=139^\circ[/tex]

Determine side "a" given angle B and side "b"

[tex]\frac{sin(35)^\circ}{a}=\frac{sin(139^\circ)}{2}\\ asin(139^\circ)=2sin(35^\circ)\\a=\frac{2sin(35^\circ)}{sin(139^\circ)}\\ a\approx1.749[/tex]

Isosceles trapezoid ABCD is shown
D
Which three statements are correct?
ACD SACB
ADBC
ABCD
BACCAD
ACBD
ADC BCD

Answers

An isosceles trapezoid have two congruent slant sides.

The three correct statements are:

AD = BCAngle DAB = Angle CBAAngle ADC = Angle BCD

How to determine the correct statements

The isosceles trapezoid is given as: ABCD

From the diagram. the slant sides are AD and BC.

This means that:

Lengths AD and BC are congruent

Similarly, the angles at A and B, and the angles at D and C are congruent

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Which function defines (g-f)(x)?





Plato

Answers

Answer:

C

Step-by-step explanation:

Attached Picture.......

- The number of roses sold since Monday at a flower store can be modeled by the function N(d) = 60 + 25 and the price 6d per rose can be modeled by.P(d) = 0.02d2 – 0.04d + 0.49 where d is the number of days since Monday. According to this model, what is the total amount of revenue generated by the store's rose sales on Sunday? Round your answer to the nearest cent.​

Answers

The revenue function is the sum of the cost and profit functions

The total amount of revenue on Sunday is $59.17

How to determine the amount of revenue

The function for the number of roses is given as:

[tex]N(d) = 6d + 25[/tex]

The price per rose is given as:

[tex]P(d) = 0.02d^2 - 0.04d + 0.49[/tex]

On Sunday, the value of d is 6.

So, we start by calculating N(6) and P(6)

[tex]N(d) = 6d + 25[/tex]

[tex]N(6)= 6 * 6 + 25[/tex]

[tex]N(6)= 61[/tex]

[tex]P(d) = 0.02d^2 - 0.04d + 0.49[/tex]

[tex]P(6) = 0.02 * 6^2 - 0.04 * 6 + 0.49[/tex]

[tex]P(6) = 0.97[/tex]

The total amount of revenue is then calculated as:

[tex]R(d) = N(d) * P(d)[/tex]

Substitute 6 for d

[tex]R(6) = N(6) * P(6)[/tex]

So, we have:

[tex]R(6) = 61 * 0.97[/tex]

[tex]R(6) = 59.17[/tex]

Hence, the total amount of revenue is $59.17

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Helpppppppp If h = 7 inches and r = 3 inches, what is the surface area of the geometric shape formed by this net?

Answers

The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object. This is done using different area formulas and measured in square units. Volume is the amount of space that a three dimensional object takes up.23-May-2021

Select all the correct answers. If the measure of angle (theta) is 11π/6, which statements are true? NO LINKS!!!

Answers

Answer:

The measure of the reference angle = 30°

Step-by-step explanation:

Convert 11[tex]\pi[/tex]/6 (radians) to degrees by multiplying by 180 and dividing by [tex]\pi[/tex]:

11[tex]\pi[/tex]/6 (radians) = 330[tex]\pi[/tex]/[tex]\pi[/tex] = 330°

Therefore, reference angle = 360 - 330 = 30°

First convert to degree from radian .

[tex]\\ \tt\hookrightarrow \dfrac{11\pi}{6}\times \dfrac{180}{\pi}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1980}{6}=330°[/tex]

Find reference angle=360-330=30°

Last option is correct

Write the percent as a fraction or a mixed number in simplest form

Answers

Answer:31/20

Step-by-step explanation:Sorry your answer is late

Maya purchased 19.5 centimeters of wire for $15.60 find the until prince in dollars per centimeter.if necessary,round your answer to nearest cent.

Answers

Divide total price by total quantity:

15.60 / 19.5 = 0.80

Unit price = $0.80 per centimeter

Mr. Flores is taking his children out for a nice dinner. The food bill before tax was $55. What is his total bill if sales tax is 7%?

Answers

Answer:

$58.85

Step-by-step explanation:

Take 7% out of 55 and add it to the total.

solve for linear inequality of x - 1 ≥ 4 + x​

Answers

[tex]\huge\bf{ANSWER:}[/tex]

[tex]\huge\mathrm{No\:solution.}\checkmark[/tex]

[tex]\huge\bf{SOLUTION}:[/tex]

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the [tex]\bf{\underline{opposite\:\:operation\:}[/tex]:

[tex]\longmapsto[/tex][tex]\sf{x-1\geq 4+x[/tex]

[tex]\longmapsto\sf{x\geq 4+x+1[/tex]

[tex]\longmapsto\sf{x\geq x+5[/tex]

Now, let's move the variables to the left:

[tex]\longmapsto\sf{x-x\geq 5[/tex]

[tex]\longmapsto\sf{0\geq 5[/tex]

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality  has

[tex]\bold{No\:solutions.}[/tex]

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex]

PLEASE HELP!!!
Solve the quadratic equation by completing the square.

Answers

The values of x in the quadratic equation using completing the square method are [tex]x=-4 \pm \sqrt{5}[/tex].

Given information:

The quadratic equation is [tex]x^2+8x+11=0[/tex].

It is required to factorize the given quadratic equation using completing the square method.

How to factorize a quadratic equation?

Use completing the square method to solve the equation as,

[tex]x^2+8x+11=0\\(x)^2+2(x)(4)+4^2-4^2+11=0\\( (x)^2+2(x)(4)+4^2)-4^2+11=0\\(x+4)^2-16+11=0\\(x+4)^2=5\\(x+4)=\pm \sqrt{5} \\x=-4 \pm \sqrt{5}[/tex]

Therefore, the values of x in the quadratic equation using completing the square method are [tex]x=-4 \pm \sqrt{5}[/tex].

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One positive number is one-fifth of another number. The difference between the two numbers is
164, find the numbers.

Answers

Answer:

41 and 205

Step-by-step explanation:

Since the smaller number is 1/5 the larger number, the distance between the numbers is 4/5 of the larger number because (5/5 - 1/5 = 4/5).

You are given the difference, so first find the smaller number by dividing by 4:

164 = (4/5)(larger number)

164 = 4(smaller number)

41 = smaller number

Now, just multiply by 5, since 41 is 1/5 of the larger number:

41 * 5 = 205 = larger number

Optionally, check the answer by testing the difference:

205 - 41 = 164

Which linear equation best represents the data given in the table?
Answers
y=7x+4
y=7x-4
y=4x+7
y=4x-7

Answers

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

How to determine the linear equation

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-10 +17}{-2 +3}[/tex]

Simplify

[tex]m = \frac{7}{1}[/tex]

[tex]m = 7[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 7(x +2) -10[/tex]

Open the brackets

[tex]y = 7x +14 -10[/tex]

[tex]y = 7x +4[/tex]

Hence, the linear equation that represents the table is (a) y = 7x +4

Read more about linear equations at:

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PLEASE HELP ME WITH QUESTIONS​

Answers

True, false, true, false :)

The radius of a sphere is multiplied by 3. What is the scale factor k for the sphere's volume in order to arrive at the volume of the new sphere?
a. 3^3
b. 3
c. 3^2
d. 3^4

Answers

Answer:

3^3

The answer is a.3^3

The scale factor k for the sphere's volume in order to arrive at the volume of the new sphere is 3^3, the correct option is A

How to calculate the scale factor?

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

Radius is multiplied by 3

In order to arrive at the volume of new sphere the factor must be greater or equal to 3

So,

Scale factor=x*k

=3^3

Therefore, the scale factor k will be 3^3

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#SPJ2

Enter a ratio and a percent to represent the shaded part. 11 out of 100​

Answers

the answer is 11:100 and 11%
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