Person A leaves his home to visit his​ cousin, person​ B, who lives 243 miles away. He travels at an average rate of 46 miles per hour. One​ half-hour later, person B leaves her house to visit person​ A, traveling at an average rate of 64 miles per hour. How long after person B leaves will it be before they​ meet?

Answers

Answer 1
They meet (or pass) each other two hours after B leaves.

When B starts trip A has already gone 23 miles (46 x 0.5)
This means they are still 220 miles apart.
Their closing speed is 46 + 64 = 110 mph.
They will meet 2 hours after B leaves home. (220 / 110)

A will have travelled 46 x 2.5 = 115 miles and B will have travelled 2 x 64 = 128 miles


Related Questions

To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour

Answers

Answer:

30ml of yellow

18ml of red

Step-by-step explanation:

5x6=30

3×6=18

Answer:

Step-by-step explanation:

a color

The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?​

Answers

Answer:

The dimensions are four by two by two meters.

Step-by-step explanation:

The volume for a rectangular prism is given by:

[tex]V=\ell wh[/tex]

Where l is the length (or depth), w is the width, and h is the height.

Since the height and width are both two meters less than the depth, we can write that:

[tex]h=\ell -2\text{ and } w = \ell -2[/tex]

We are also given that the total volume is 16 cubic meters. Substitute:

[tex]16=\ell(\ell -2)(\ell -2)[/tex]

Expand:

[tex]16=\ell(\ell^2 -4\ell +4)[/tex]

Distribute:

[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]

Isolate the equation. So:

[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]

We can factor by grouping. From the first two terms, factor out a and from the last two terms, factor out a 4:

[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]

Factor:

[tex](\ell ^2+4)(\ell -4)=0[/tex]

Zero Product Property:

[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]

Solve for each case:

[tex]\ell^2=-4\text{ or } \ell =4[/tex]

Since we cannot take the square root of a negative number, we can ignore the first case.

Therefore, the length (or depth) of the storage space is four meters.

Thus, the dimensions are four by two by two meters.

(8,9); x+3y=2 in y=mx+b form

Answers

Answer:

use photo math. it will help

I WILL GIVE YOU BRAINLYEST if you answer
PLSS HELP I suck at math its easy

Answers

Answer:

I think the answer is would be C

Answer:

A. Neil did not make a mistake.

Step-by-step explanation:

Everything looks fine in this problem.

Tom drank 5 cups of coffee. How many pints of coffee did he drink?


A. 4.5
B. 3.5
C. 2.5
D. 1.5

Answers

Answer:

B .3.5 points of coffee did he drink

hope it helps

Correct answer is C. 2.5
A cup is 8 ounces, a pint is 16 ounces…so a cup = 1/2 pint. 5 cups = 5 half-pints…5 half-pints = 2-1/2 pints

Question 4
1 pts
An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail
population.

Answers

Answer:

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is  910*(1.2)^t

An initial population of 910 quail increases at an annual rate of 20%.

So,

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is 910*(1.2)^t.

What is the exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

Learn more about exponential function at

https://brainly.com/question/2456547

#SPJ2

22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.

Answers

Answer:

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

3x + 2y = 4 and -2x + 2y = 24? *

Answers

Answer:

x=28

y=v7vub8b9nf7v6v

ACTIVITY
Jump to level 1
Complete the equation involving x. Order terms like the physical situation, and
simplify.
A 4 foot wide painting should be centered on a 12 foot wide wall. How many
feet (x) should be on each side of the painting?

Answers

Answer:

4 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:

(Total wide of the wall - wide of the painting) / 2 = X

(12 - 4) / 2 = X

8/2 = X

4 = X

Therefore, 4 feet of wall should be on each side of the painting.

Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points​

Answers

Answer:

the answer to this would be 114 i think sorry is im wrong

Step-by-step explanation:

Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los
vende a 4 € el kilo. ¿ Cuánto ha ganado?

Answers

Step-by-step explanation:

165kg=330$

150*4=600$

600-330=270

espero te ayude :D

HELP! POTATOooooooooooooooooooooooo plz

Answers

Answer:

Step-by-step explanation:

i cant see the answer

how do I
graph y+2= - 5/7 (x+6)

Answers

Type that into Desmos graphing calculator I hope this helps

15r kg of auger was distributed equally among 5 people. how much auger did each person get? Give your answer in terms of r.

Answers

Answer:

below

Step-by-step explanation:

15r kg therefore it would be 15r/5people

3r kg for each person

What is the value of x? 63, 42, 50

Answers

Answer:

Step-by-step explanation:

please answer both thank ​

Answers

Answer:

the second one for #4 and the third one for #5

Step-by-step explanation:

4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or

y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).

5.

Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.

Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.

If apple pie is "a" and lemon is "l":

6a + 4l = 80

6a + 5l = 94,

so C is the answer

HELP I will give brainliest I am begging you only a few questions

Answers

Answer:

Graph A: (0,10) Graph B: (0,20)

Graph A: Height (feet) Graph B: Hight (feet)

Graph A: 138 Graph B: 120

Graph A: 32.6 Graph B: 43

Step-by-step explanation:

The smaller text was really blurry but I tried my best. Hope this helps!

Answer:

Step-by-step explanation:

I just pointed the answers, but quality of picture is poor: it's impossible to indicate the numbers on y-axis, and tell exact number on x-axis.

Find the value of x and the value of y.​

Answers

Answer:

[tex]x=7,\\y=4\sqrt{2}[/tex]

Step-by-step explanation:

Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.

The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:

[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]

The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:

[tex]x=4+3=\boxed{7}[/tex]

A statistics student is studying if there is a relationship between the price of a used car and the number of miles it has been driven. She collects data for 20 cars of the same model with different mileage, and determines each car’s price using a used car website. The analysis is given in the computer output.

Predictor Coef SE Coef t-ratio p
Constant 24157.2 2164.1 2.965 0.046
Mileage -0.181 0.024 5.377 0.000
S = 3860.7 R-Sq = 68.0% R-Sq(Adj) = 67.5%
Using the computer output, what is the equation of the least-squares regression line?

ŷ = –0.181 + 24157.2x
ŷ = 24157.2 – 0.181x
ŷ = 2164.1 + 0.024x
ŷ = 0.024 + 2164.1x

Answers

Answer:   Choice B

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

Explanation:

Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.

You can think of it like

price = constant + (mileage coefficient)*(mileage)

The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.

im in need of help for this problem (listing BRAINLIST and giving points) ​:)​

Answers

I hope this is help full to you

Sin x= d/e
Tan x=d/f
Cos x = f/e
Hope it helps!

Mr.flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it late

Answers

Answer:

0.52

Step-by-step explanation:

100% - 48% = 52%

[tex]\frac{52}{100}[/tex]

0.52

Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer

Answers

Answer:

A. 320 ft²

B. 2,304 ft²

Step-by-step explanation:

A. Area of one triangular face = area of triangle = ½*b*h

Where,

b = 32 ft

h = 20 ft

A = ½*32*20 = 16*20

A = 320 ft²

Area of 1 triangular face = 320 ft²

B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid

T.S.A = 4(320) + (s²)

Where,

s = 32 ft

T.S.A = 4(320) + (32²)

T.S.A = 1,280 + 1,024

= 2,304 ft²

In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?​

Answers

Answer:

18

Step-by-step explanation:

Find the diagram attached

From the diagram

PR + RQ = PQ

PR + RQ = 38

PR = 38 - RQ

using similar triangle;

KQ/RQ = KP/PR

45/RQ = 50/38-RQ

Cross multiply

50RQ = 45(38-RQ)

50RQ = 1710 - 45RQ

50RQ + 45RQ = 1710

95RQ = 1710

RQ = 1710/95

RQ = 18

Hence the length of RQ is 18

Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.

Answers

Answer:

The answer e i think

Step-by-step explanation:

PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT​

Answers

Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

What is the margin of error of a confidence interval?

It is given by the following formula:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

More can be learned about margin of error at https://brainly.com/question/25779324

#SPJ1

5+p=10 what does p equal

Answers

Answer:

p=5

Step-by-step explanation:

5+p=10

Hence, p=10-5

=5

Answer:

5

Step-by-step explanation:

1. Move the constant to the right- hand side and change its sign.

p=10-5

2. Subtract the numbers

p=10-5

the answer is 5

What’s the ratio of 20 to 6

Answers

Answer:

333..%

Step-by-step explanation:

333.333333333333%
hope this helps

what is the degree of the polynomial x² - 5x + 2 ​

Answers

Answer

2

Step-by-step explanation:

x^2-5x+2,

the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2

Find the slope in each line

Answers

can you put the YX just because it’s too blurry.

The exprnditure of 15 days of a man is as follows. calculate this average expenditure. 30,25,35,24,40,35,30,25,
24,25,40,35,30,25,35. Solve with answer for class Nine​

Answers

Answer:

$30.53

Step-by-step explanation:

Find total sum

30+25+35=90

90+24=114

114+40=154

154+35=189

You will get 458

458/15=30.53333

Other Questions
Question 1 of 25Calculate the sum or difference. Enter the answer as a fraction in lowestterms, using the slash (/) as the fraction bar.2.5tomAnswer here hey everyone! if anyone has read the novel "the outsiders", i'd really appreciate ur help. here are some questions that i need to answer:1) what do you know now that you didn't know before as a result of reading this novel?2) did this novel make you laugh? if yes, give an example and page# if not, tell me why not. 3) what is the most important and powerful line in the novel? explain why.4) the most important event or feeling? explain. (with pg#) 5) what are the worse parts? why? 6) what came as a surprise in the novel? 7) was the novel believable or not? i'd really appreciate anyone's help, even if only answering one of these questions. thanks in advance! Which of the following statements is FALSE? A. Preferred stock cannot be converted into common stock. B. Preferred stock usually has a stated or par value but unlike bonds, this par value is not repaid at maturity because preferred stocks do not have a maturity date. C. The only time the par value of preferred stock would be paid to the shareholder is if the company ceases operations or retires the preferred stock. D. Skipped preferred dividends become a liability of the company. 30. Which two notations represent atoms that are isotopes of the sameelement?A) 31 Sn and 30SnB) 581 Sn and 13 SnC) 3O and LOFD) 19 Cl and 18K How does the direction of light affect photos? Methane is a powerful greenhouse gas. Which of the following is NOT asource of methane?O melting of methane hydratesO decay of living things/landfillsO increased evaporationO cow farts A spring stretches from 10cm to 22cm when a force of 4n is applied, if it obeys Hookes law,its total length in cm when a force of 6N is applied is? Please help Ill give brainliest You might need: CalculatorOn the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming theseflowers rapidly increases as the trees blossom.The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts,L(t), is modeled by the following function:5.9L(t) = 750.(1)Complete the following sentence about the rate of change in the locust population.2The population of locusts gains of its size every3days. a deli employee can make a sandwhich in 6 minutes.she works for 84 minutes.how many sandwhiches can she make Evaluate the expression c5 when c = 3. Even though the content of many alcohol blends doesnt affect engine drive ability using gasoline with alcohol in warm weather may cause Can someone graph this quick plsssss 4 NH3 + 7 O2 4 NO2 + 6 H2O What is the mole ratio between oxygen and nitrogen dioxide? 7 moles to 6 moles 4 moles to 6 moles 7 moles to 4 moles 4 moles to 4 moles The divine right of king is best described as a belief that Which data set has an apparent negative, but not perfect, linear relationship between its two variables 1. "Sikat ng araw ay sasalubungin", ano angkasingkahulugan ng salitang sikat?a. dilimb. liwanagC. kislapd. kilala2. "Kahirapan ang taal ng paghihinagpis", ano angkasingkahulugan ng salitang taal?a. pinagmulanb. bulkanC. tuktok What would have happened to Lee's men if he had tried to break through thesecond, larger line of Union soldiers? How do I solve this? what is a period going to do at the end of a sentence?