Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.

Answers

Answer 1

Answer:

Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.

Step-by-step explanation:


Related Questions

Georgina cooked a 10 1/5 pound turkey in 2 3/5 hours. How many hours per pound did it take to cook the
turkey? Express and explain your answer as a unit rate.

Answers

13/51 hours per pound

EXPLANATION

= 2 3/5 hours : 10 1/5 pound

= 13/5 hours : 51/5 pound

= 13/5 × 5/51 hours per pound

= 65/255 hours per pound

= 13/51 hours per pound

#LearnWithEXO

❗25 POINTS❗ ...................................................

Answers

Answer:

22

Step-by-step explanation:

Is 2 pi 9 inches rational or irrational

Answers

see budy your answer is very simple and that's 2 pi 9 inches is a rational number

Find the sale price of the item. Round to two decimal places if necessary.

Original price: $87.00

Markdown: 33%

The sale price is $.

Answers

The sale price is $84.48

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -1/6x + 2

Step-by-step explanation:

Slope: (-6,3) and (6,1) = (1-3) / (6 - - 6)

= - 2/12 = -1/6

b = 3 - (-1/6)(-6)

b = 3 - 1

b = 2


A jar contains 2000 marbles. If 61.5% of them are red, 27.5% are white, and 10% of them are blue, how many marbles are neither red, white, or blue?

Answers

Answer:

1 percent, or 20 marbles

Step-by-step explanation:

add all the other percentages and it sums up to 99%. and the other one percent of the marbles is 20.

Answer:

20 marbles

Step-by-step explanation:

61.5 + 27.5 + 10 = 99

this means 1% are neither red, white or blue

1% of 2000 is 20

Is shape 1 similar to shape 2? Why or why not?

Answers

what shapes? please explain!

toni had 5 1/2 kilograms of sugar.how many cakes can he bake if he ise 1/4 hilogram of sugar per cake?

pls i need the answer

Answers

Answer:

22 cakes

Step-by-step explanation:

5 1/2kg = 11/2 = 22/4

22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes

Answer:

He can makec 22 cakes

Step-by-step explanation:

He use,

[tex] \frac{1}{4} kg = 1 \: \: cake \\ [/tex]

Let's find how many caked will he make from 5 1/2kg

Let the unknown number of cakes be x

[tex] \frac{1}{4} = 1 \\ 5 \frac{1}{2} = x[/tex]

[tex] \frac{1x}{4} = 5 \frac{1}{2} \\ \frac{1}{4} x = \frac{11}{2} [/tex]

Use cross multiplication

[tex]2 \times 1x = 11 \times 4 \\ 2 x= 44 \\ \frac{2x}{2} = \frac{44}{2} \\ x = 22[/tex]

Hope this helps you

Let me know if you have any other questions :-):-)

Jasmine is solving this equation. What value of x makes Jasmine's equation true?

x/4 = 9

Answers

Answer:

The value of x that makes Jasmine's equation true is 36, because 36 / 4 = 9.

Step-by-step explanation:

brainliest please. . .

Will give brainliest.

Your cousin is selling cookies. He borrowed $10.82 from you for supplies and plans to sell each cookie for $0.75. If he sells an average of 12 cookies a day, how long will it take him to repay what he owes you AND make $25 in profit? (Round to the most reasonable number.)

Question 1 options:

3 days


4 days


5 days


6 days.

Show and explain your thought process for the question above. How did you reach your conclusion? What did you do to find that number?

Answers

Answer:

4 days

Step-by-step explanation:

5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.

Answers

Answer:

base = 12; height = 3

Step-by-step explanation:

Area: ( b x h ) / 2

base: 2x

height: (x - 3)

---------------------------------

( ( 2x )*( x - 3 ) )/ 2 = 18

( 2x ^2 - 6x ) = 36

2x ^2 - 6x - 36 = 0

(quadratic formula)

x = 6

x = -3

---------------------------------

taking the positive value : x = 6

---------------------------------

base: 2x = 2(6) = 12

height: x - 3 = 6 - 3 = 3

someone help me pls

Answers

the answer is 33 because 3+3=6*10-35+2

how many permutation are there of the letters of the word "ENGLISH"

Answers

5040, 120



hope this helps, have a great day! :)

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

5040120

[tex]\huge\blue{ChaEunWoo2009}[/tex]

#CarryOnLearning

Ventamo has 72 jars of strawberry jam, and 32 jars of raspberry jam. He wants to place the jam into the greatest possible number of boxes so that each box has the same number of jars of each kind of jam. How many boxes does he need?

Answers

8 boxes

Step-by-step explanation:

Start with a proportion

32/72

reduce

4/9

so now

4 jars of raspberry and 9 strawberry times 8 for the total number

so

8 boxes

1234567891011121314151617181920

Answers

Yep.. that's how you count...good job

Which of these u is a example

Answers

Answer:

the correct answer is C there ya go

Answer:

C. Typing 28 words in 2/3 of a min

Step-by-step explanation:

42 words : 60 secs = ? words : ? secs

42:60 16:40 / This could not be an answer because 1/3 of 42 is 14. And 16 exceeds 14. So this couldn't be a possible answer choice.

42:60 16:80 / This could not be an answer because 16 is less than 42 and the time given here is over 60 secs.

42:60 28:40 / This would be an answer because 1/3 of 42 is 14. SO if we multiplied 14 by 2 we would be 28.

42:60 28:80 / This could not be an answer because 28 is less than 42 and the time given here is over 60 secs.

the present value of an annuity of 3000 for 15 years at 4.5 % per annum CI is

Answers

Answer:

3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.

The Scientific Method Which of these is the best reason for doing more background research after making an observation and before forming a hypothesis? to find the answer without having to do an experiment to prevent making the same mistakes made in a prior experiment to fill the space in your lab report to make your data agree with prior experiments

Answers

Answer:

Step-by-step explanation:

The best reason for doing more background research after making an observation and before forming a hypothesis is to prevent making the same mistakes made in a prior experiment. It is to make sure that you are able to see the problems of a research and make an experimental design that will minimize the errors?

Find the sum of 12.01 and 3.8

Answers

Answer:

15.81 is the answer.

Evaluate. (a−2b)3 when a=−2 and b=−12

Answers

Step-by-step explanation:

(a−2b)

3

\{ - 2 - (2 \times - 12) \}{−2−(2×−12)}

\{ - 2 - ( - 24)\}{−2−(−24)}

\{ - 2 + 24 \}{−2+24}

2222

the required value is 22

The simplified value of  (a−2b)³ is 10648.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

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. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

given:

(a−2b)³

and,  a=−2 and b=−12

Now, substituting the values

(a−2b)³

=  ((-2)−2(-12))³

=  (-2 + 24)³

= 22³

= 10648

Hence, the simplified value is 10648.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

The sum of-38 and a number is -21.
equation

Answers

Answer:

-38 + x = -21

Step-by-step explanation:

Since we don't know the number that -38 is being added to, we can suplement it in the equation with x.

These two are balanced.

True or false? Also I’m sorry ab the photos quality

Answers

True because they both equal 27

You roll two fair dice. If they land with a sum of 7, you get a $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the highest value you could set the price and the player would still win?
$8
$5
$2
$10​

Answers

Using the expected value, it is found that the highest value you could set the price is: $5.

-----------------------------

A game is fair, that is, the player would still win, if the expected value is 0.The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.

For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].

The charge is x.

6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.

10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.

36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.

Since we want the expected value to be 0:

[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]

[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]

[tex]22x = 110[/tex]

[tex]x = \frac{110}{22}[/tex]

[tex]x = 5[/tex]

The highest value you could set the price is: $5.

A similar problem is given at https://brainly.com/question/24905256

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4
(-3√3, 1)
(astroid) ​

Answers

Differentiate both sides of

[tex]x^{2/3} + y^{2/3} = 4[/tex]

implicite with respect to x :

[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for the derivative dy/dx :

[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]

Get the slope at the given point (-3√3, 1) :

[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]

Then the equation of the tangent line to the curve through (-3√3, 1) is

[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]

12. Jessica places 3 photos on the cover of her picture album. She places 4 photos on each of the other pages. She has
135 photos in all. How many pages will she need if she uses all of her photos?
A. 33
B. 38
C. 40
D. 28

Answers

Answer:

A 33

Step-by-step explanation:

135 - 3 = 132 photos for other pages

132/4 = 33 pages

How Did Dregg Do On His Antarctica Test? Answers

Answers

Answer:

He knew it cold.

Explanation:

Hope it helps you..

Y-your welcome in advance..

(;ŏ﹏ŏ)(ㆁωㆁ)

Kareem makes muffins using a ratio of 3.5 cups of flour for every 1.75 cups of sugar.
If he has 3.5 cups of sugar, how much flour does he need to make the muffins?

The constant of proportionality for the amount of flour to sugar in this recipe is ___.

If Kareem uses 3.5 cups of sugar, he will need ___ cups of flour.

Answers

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.

Let y represent the cups of flour and x represent the cups of sugar. Hence:

3.5 cups of flour for every 1.75 cups of sugar:

y ∝ x

y = kx

k is the constant of proportionality

3.5  = 1.75k

k = 2

y= 2x

If Kareem uses 3.5 cups of sugar, he will need:

y = 2x = 2(3.5) = 7

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

Find out more at: https://brainly.com/question/21126582

DONT ANSWER THIS QUESTION OR ELSE

Answers

Answer:

or else what?..... ......

given that x is an acute angle and cos x equals to 2 root 5/5 find without using mathematical tables or a calculator tan (90 - x)​

Answers

Answer:

whats cos? i dont understand if its written in question please explain

Step-by-step explanation:

Choose the number sentence that illustrates the distributive property of multiplication over addition.

A. 2x(5+ 6) = (2 x 5) + 6

B. 2x (5 + 6) = (2 x 5) + (2 x 6)

C. 2x(5 + 6) = (2+5)* (2 +6)

Answers

Answer:

One number sentence shows the distributive property of multiplication over addition. ... (5 + 4) × 3 = (5 × 3) + (4 × 3) is an example of the distributive property. (5 − 4) × 3 = 1 × 3. 1 × 3 is not equal to (1 × 3) − (1 × 3).

Step-by-step explanation:

A

Other Questions
in what year did the first spaniards see the texas coast Question is in the photo. If you were driving the blue Prius in the situation pictured above, explain why the red Mustang should be given right-of-way at thisintersection. A hot sun warms the surface of a lake on the grande what happens to the cold water at the bottom You need nuts and bolts for an art project. You have $20 to spend and you can buy nuts for 45 cents each and bolts for 80 cents each. You need at least 30 pieces total. Write a system of inequalities to represent this situation. Let x = #nuts and y= # bolts. who said with great power comes great responsibility? Imagine that you are immersed under a beautiful cosmic meteor shower. Whichinstrument would BEST help you view the largest portion of the sky?refracting telescopebinocularssextantcompound telescope which type of rock is formed when other rocks are pressed and stick together? Write a problem that you can use 7 x 0 to solve. Fill in the blank(s).Use a phrase and a noun.Although they have changed the face of farming in the USA, [blank] crops are still regarded with deep [blank] in the UK where the emphasis remains on "natural" products.I'm really confused as to what to fill in; could someone help me? Please write 4-5 sentences about this image. What does democratized knowledge mean? A. People decide together what information the public needs toknowB. Everyone has a right to own a computer with Internet access.C. Everyone can vote to determine what knowledge should beshared. D. Everyone has equal access to knowledge that they can alsocontribute to 9x2y3, for x= 5 and y=3. what type of solute causes the hydrogen ion concentration of a solution to decrease, which results in a high ph value? Contestants ABCDEFG and I are in a 10k race. In how many ways can C finish first and A finish second? In The Raven What four things does the narrator do as he stares into the darkness? Graph the following system of inequalities.y Choose the correct form of "to be" in present tense. 5. Christopher, where (be) ____ you last night? I (be) _____ looking all over for you. 6.Yesterday (be) _____ the best day of my life!*The picture that I attached too. Exchanges oxygen from the environment and carbon dioxide from the body.A.Circulatory SystemB.Respiratory SystemC.Urinary SystemD.Digestive System Modern psychology began in whatcountry?A. EnglandB. GermanyC. France