A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. if it goes 120 miles per hour downhill, how long will it take to travel 45 miles per flat land? Could you break this down for me ?

Answers

Answer 1

We have three different velocities. Downhill velocity (Dv), Level ground velocity (LGv), and Uphill velocity (Uv). We need to find the level ground velocity to find the time. Initially, the question says that:

$\text{Dv = 120 miles per hour}$

Then we have "A train goes twice as fast downhill as it can go uphill". Mathematically this means:

$2\times Uv\text{ = Dv}$

We can find Uv:

$Uv=\frac{120}{2}=60\text{ miles per hour}$

The next information is "and 2/3 feet as fast uphill as it can go on level ground". 2/3 in decimal is 0.6666, so we can round it to 0.67.

2/3 feet as fast means that Uphill velocity is greater than level ground velocity. We can say that:

$1.67\text{ }\times\text{ LGv = Uv}$

We can find LGv:

$\text{LGv = }\frac{60}{1.67}=36\text{ miles per hour}$

Now, to find the time we can apply the medium velocity equation above:

$\text{Velocity = }\frac{Dis\tan ce}{\text{Time}}$$36\text{ = }\frac{45}{\text{Time}}$

$\text{Time = }\frac{45}{36}$$\text{Time = 1.25 hour or 75 minutes}$

Related Questions

Which is closest to the slope of the line graphed above?

A. 5/4
B. -4/5
C. -5/4
D. 4/5

Thank you for your time, it is much appreciated. Take care, have a good one!

Answers

I wanna say D, but I’m not 100% sure.

6. Emily receives an inheritance of $20,000 and decides to invest the money. She puts some money in her savings
account that earns 1.5% simple interest per year. The remaining money is invested in a bond fund that returns 4.5% and a
stock fund that returns 6.2%. She makes a total of $942 at the end of 1 yr. If she invested twice as much in the bond fund
as the stock fund, determine the amount that she invested in each fund.

Answers

Emily funded $6000 in stocks and $12,000 in bond funds. She also funded the remaining $2,000 in her savings account.

Future value = $20,000

Simple interests rate = 1.5%

The return rate on bonds= 4.5%

The return rate on stocks = 6.2%

Total amount made on invests = $942

Time period = 1 year

Let us assume that the amount of money Emily invested = x

Amount invested in stock = y

If the amount is twice = 2y

The interest earned = x * 0.015

Interest on bond = 2y * 0.045

Interest on stocks = y * 0.062

The equation will be:

(x * 0.015) + (2y * 0.045) + (y * 0.062) = 942

0.015x + 0.152y = 942 ------ Equation 1

Total future value is given as $20,000

x + 2y + y = 20000

x + 3y = 20000

x = 20000 - 3y

Substituting the x value in the first equation:

0.015(20000 - 3y) + 0.152y = 942

300 - 0.045y + 0.152y = 942

0.107y = 642

y = 6000

Therefore, we can conclude that Emily funded $6000 in stocks and $12,000 in bond funds.

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Rewrite the following equation in exponential form.
log49 (7)=1/2

Answers

Answer:

49^1/2 =7

Step-by-step explanation:

log49(7)=1/2

in exponential form

49^1/2 =7

The last time it placed an order for ingredients, Sweet Treats Bakery ordered 9,390 kilograms of sugar. This time, the bakery is ordering 7,512 kilograms. What is the percent of decrease in the size of the sugar order?

Answers

Answer:A decrease of 20%.

First we must subtract out new total from our old total.

9390 - 7512 is 1878. This means that there is a difference of 1878. Next we must divided both 7512 and 1878 into 9390.

7512/9390 is 0.8 & 1878/9390 is 0.2

As a percentage that is 80% and 20%.

This means that the new amount of sugar only makes up 80% of the old amount. That means that there was a decrease of 20% of kilograms of sugar.

I hope this helped & Good Luck <3 !!!

What is the volume of this figure?

Enter your answer in the box.

ft³
Three-dimensional figure formed by placing two rectangular prisms together to form an L shape where the bottom of the L is on the left and the top of the L extends to the right. The wider part of the L has a width of 3 feet. The other part of the L has a width of 2 feet. The total length of the L is 7 feet, and the length of the narrower part of the L is 6 feet. The height connecting the L shaped bases is 5 feet.

Answers

The volume of the three-dimensional figure that forms an L-shape is: volume of the two rectangular prisms.

Volume of Rectangular Prism?

Volume = length × width × height

The volume of the figure = volume of both rectangular prisms that formed the L-shape.

To find the volume of the figure, first find the volume of each of the rectangular prisms and add both together.

Therefore, the volume of the three-dimensional figure that forms an L-shape is: volume of the two rectangular prisms.

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Please help me solve #1

Answers

Answer:

domain x range y

Step-by-step explanation:

hopefully it helps

Write in standard form 4.025x10 2

Answers

Answer:

402. 5

Step-by-step explanation:

This is your answer hope this helps

And also pls mark me brainliest

Find the height of the tower using the information given in the illustration.

Answers

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

2+2=
a. 3
b. 5
c. 4
d. 7

Answers

Answer:

Step-by-step explanation:

-----

Match to the correct one

Answers

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

30 Points! To Who Ever Can Give Me The Answer

Answers

Answer:

Step-by-step explanation:

The answer is 8! Because 2x2x2 = 8

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
b
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?

Answers

Answer: 11 hours

Step-by-step explanation:

22/2 = 11

One shirt at H&M cost $7. what is the cost of 40 shirts

Answers

Answer:

$280

Step-by-step explanation:

7•40=$280

The price of a gallon of unleaded gas was $2.81 yesterday l. Today, the price rose to $2.88. Find the percentage increase

Answers

Answer:

Step-by-step explanation:

Find -(-14).
—14
-4
4
14

Answers

Answer:

Step-by-step explanation:

minus in front of a minus=+

Answer:

D. 14

Step-by-step explanation:

A young artist went to an art shop to buy a canvas. There were many sizes from which to choose. Some were standard sizes and some were custom-made. She wanted her next piece to incorporate the Golden Ratio, so she decided to buy the canvas whose dimensions most closely matched the Golden Rectangle. Here are the sizes that were available:
24" x 36"
24" x 40"
10" x 16"
26" x 16"
20" x 12"
Which canvas should the artist buy? Show your work.

Answers

The artist should buy the canvas with dimensions 26" x 16" as it most closely matches the Golden Rectangle.

To determine which canvas size most closely matches the Golden Rectangle, we need to calculate the aspect ratios of the available options and compare them to the Golden Ratio.

The Golden Ratio is approximately 1.618. A rectangle is considered to be a Golden Rectangle if its aspect ratio (width divided by height) is equal to the Golden Ratio.

Let's calculate the aspect ratios for each canvas size:

Canvas 1: 24" x 36"

Aspect ratio = 24 / 36 = 0.67

Canvas 2: 24" x 40"

Aspect ratio = 24 / 40 = 0.6

Canvas 3: 10" x 16"

Aspect ratio = 10 / 16 = 0.625

Canvas 4: 26" x 16"

Aspect ratio = 26 / 16 = 1.625

Canvas 5: 20" x 12"

Aspect ratio = 20 / 12 = 1.667

Now, let's compare the aspect ratios of the available options with the Golden Ratio (1.618) to see which one is closest:

Canvas 1: |0.67 - 1.618| = 0.948

Canvas 2: |0.6 - 1.618| = 1.018

Canvas 3: |0.625 - 1.618| = 0.993

Canvas 4: |1.625 - 1.618| = 0.007

Canvas 5: |1.667 - 1.618| = 0.049

The canvas with the aspect ratio closest to the Golden Ratio is Canvas 4: 26" x 16". Its aspect ratio of 1.625 is only 0.007 away from the Golden Ratio.

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is believed that the machine is underfilling the bags. A 15 bag sample had a mean of 409 grams with a standard deviation of 22. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

$H_0:\mu = 419$ --- works correctly at 419g

Alternate Hypothesis

$H_0:\mu < 419$ --- under fills the bag

$n =15$ --- the sample

$\bar x = 409$ --- the mean

$\sigma = 22$ --- the standard deviation

$\alpha = 0.05$ --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

$t = \frac{\bar x - \mu}{\sigma/\sqrt n}$

$t = \frac{409 - 419}{22/\sqrt{15}}$

$t = \frac{-10}{22/ 3.87}$

$t = \frac{-10}{5.58}$

$t = -1.792$

Calculate df

$df = n-1$

$df = 15-1$

$df = 14$

Calculate the p value from the Student's t-distribution at df = 14 and $t = -1.792$

$p =0.047$

Given that: $\alpha = 0.05$

Since $p < \alpha$

So, it means that the machine is under filling the bags

If you divide 7/8 by 3/4 , Will the the quotient be Greater than or less than 3/4

Answers

Answer:

greater.

Step-by-step explanation:

7/8 divided by 3/4 is equals to 7/6, therefore it is greater than 3/4

Answer:

greater

Step-by-step explanation:

because you have to keep change and flip and you answer would get you 28 over 24 or 1 4/24 hope that helped have a blessed day

please help me find ALL of the questions this thing is asking :). Non helping (just to obtain points) questions will be reported.

Answers

$\begin{gathered} x^4-x^3-3x^2+x+2 \\ a)\text{ P(2)=0 means that x-2 is a factor of the polynomial} \\ b)\text{ I w}ill\text{ compute the synthetic division below} \end{gathered}$$\begin{gathered} \text{hence,} \\ \frac{x^4-x^3-3x^2+x+2}{x-2}\text{ has quotient equal to } \\ x^3+x^2-x-1 \end{gathered}$$\begin{gathered} c)\text{ In order to solve this point we must factorize the quotient},\text{ i.e.} \\ x^3+x^2-x-1=x^2(x+1)-(x+1) \\ x^3+x^2-x-1=(x+1)(x^2-1) \\ x^3+x^2-x-1=(x+1)(x+1)(x-1) \end{gathered}$$\begin{gathered} d)\text{ hence, we obtain above that:} \\ \frac{x^4-x^3-3x^2+x+2}{x-2}=x^3+x^2-x-1 \\ \text{with the last result, this is equal to:} \\ \frac{x^4-x^3-3x^2+x+2}{x-2}=(x+1)(x+1)(x-1) \\ \text{which implies that} \\ x^4-x^3-3x^2+x+2=(x+1)(x+1)(x-1)(x-2) \\ \text{Therefore, from this last result, the roots of the given poluynomial are:} \\ x=-1,x=-1,x=1\text{ and x=2} \end{gathered}$

Please answer this geometry question

Answers

Answer:

~60•the length of PQ . , the length of QR is 90• Tell me if I'm wrong . sorry if I got it wrong .~

The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 54 and a standard deviation of 3. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 54 and 63?

Answers

Answer:

The approximate percentage of lightbulb replacement requests numbering between 54 and 63 is of 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 54, standard deviation = 3.

What is the approximate percentage of lightbulb replacement requests numbering between 54 and 63?

63 = 54 + 3*3

So between the mean and 3 standard deviations above the mean.

The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.

Of those 50% above, 99.7% are below 63. So

0.5*0.997 = 0.4985

0.4985*100% = 49.85%

The approximate percentage of lightbulb replacement requests numbering between 54 and 63 is of 49.85%.

Translate the sentence into an equation.

Five less than the product of 6 and a number is equal to 8.

Use the variable y for the unknown number,

Answers

6x-5=8

There you go!

Answer:

(6 times n) - 5 = 8

Step-by-step explanation:

First we need to multiply 6 by a number and then subtract 5 from the total which will then equal to 8

can someone help me with this?thank u

Answers

Answer:

Step-by-step explanation:

first one:

X= 10

Y = 14.14

use Tan45degrees X/10

NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12

Answers

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

$b^{2} =$ $\sqrt{c^{2}-a^{2} }$

$b^{2} =$ $\sqrt{12^{2}-3^2 }$

$b^2= \sqrt{144-9}$

= 11.61895004

We can round that to 11.62.

Hope this helped!

If you know how to solve this, Please answer it. Thank You

Please show your work and the steps.

The first one to answer the question right, will get Brainlist!

I PROMISE!!!!!

Answers

Answer:

Step-by-step explanation:

Work done by Kayla in 1 hour = 1/15

Work done by Jennifer in 1 hour = 1/16

Work done by both Kayla and Jennifer = $\frac{1}{15}+\frac{1}{16}$

$= \frac{1*16}{15*16}+\frac{1*15}{16*15}\\\\=\frac{16}{240}+\frac{15}{240}\\\\=\frac{31}{240}\\$

Hours taken by both = 240/31 = 7 23/31 hours

solve this system of equations by using the elimination method.
x+2y=4 x+3y=10

Answers

Answer: The elimination method is a method for solving a system of equations by eliminating one of the variables. One way to do this is to multiply one equation by a constant and then add or subtract it from the other equation to cancel out one of the variables.

We will start by multiplying the first equation by -1:

x + 2y = 4 ----> -x - 2y = -4

Now we will add the second equation to the modified first equation:

-x - 2y = -4

(x + 3y = 10)

0x + 1y = 6

Now we can solve for y:

y = 6

Now that we know y = 6, we can substitute this back into one of the original equations, for example the first one:

x + 2y = 4

x + 2(6) = 4

x = -8

So the solution to the system of equations is x = -8 and y = 6

Therefore, the solution is (-8,6)

Step-by-step explanation:

How do you find the vertex angle of an isosceles triangle?

Answers

subtract the two congruent values for the base angles from 180

Is the range a subset or a proper subset of the codomain?

Answers

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

What is a subset?

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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Enter the correct answer in the box.
Write the expression 12-2 in simplest form.

Answers

Answer:

12-2 is 10

Step-by-step explanation:

Can someone pls explain

Answers

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

What is the Pythagorean Theorem?

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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