Judy spent 3 hours driving 165 miles She thinks
she can reach her final destination in 4 more hours
if she averages 65 miles per hour. What is the total
length of the trip in miles? [Hint: To find distance,
multiply rate (miles per hour) by time.]

Answers

Answer 1

Step-by-step explanation:

she drove already 165 miles.

she will reach her destination, if she drives 4 more hours by going 65 miles/hour.

that would mean she would travel

65×4 = 260 miles

in these 4 hours.

so, the total trip is then 165 + 260 = 425 miles.

but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.

as you can see above, it would make no difference for the calculation of the total trip length in miles.

this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.

if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.

so,

(165 + x)/(3 + 4) hours = 65/hour

(165 + x)/7 hours = 65/hour

165 + x = 65 × 7 hours / hour = 65×7 = 455 miles

x = 455 - 165 = 290 miles

she would have to go

290 miles / 4 hours = 72.5 miles/hour

for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.

and the total trip would be then

165 + 290 = 455 miles

I am not sure, which your teacher wants here.

65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.

again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).


Related Questions

what is (-3/5) + 1/3 in fraction

Answers

Answer:

-4/15

Step-by-step explanation:

-3/5 = -9/15
1/3 = 5/15
(-9/15) + 5/15 = -4/15

Hope this helps :)

Answer:

- 4/15

Step-by-step explanation:

1) Remove parentheses.

-3/5 + 1/3

2) Simplify.

- 4/15

A manufacturing company has two assembly lines, one with old equipment and
one with new. The old assembly line generates products at a rate of 48 per hour,
the new one at 60 per hour. If both assembly lines are operating at the same
time, how long will it take them to create a total of 180 products?

Answers

Answer:

the first one would take 3 hours and 45 mins to make 180 by itself

the second one would take 3 hours to make 180 by its self

if this ant the answer let me  know

Using unitary method, the manufacturing company will take 1 hour 40 minutes to create a total of 180 products.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of products generated by old assembly line in 60 minutes = 48

Number of products generated by old assembly line in 1 minute = 48/60 = 0.8

Number of products generated by new assembly line in 60 minutes = 60

Number of products generated by new assembly line in 1 minutes = 60/60 = 1

Total production in 1 minute = 1 + 0.8 = 1.8

Time taken to produce 180 products = 180/1.8 = 100 minutes = 1 hour 40 minutes

Learn more about Unitary method here

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Permutations and Combinations:
Find the number of paths from A to B, travelling along the lines, downward or to the right.

Answers

Answer:

[tex]A\ downward\ 5\ paths\ then\ to\ the\ right\ 6\ paths[/tex]

Step-by-step explanation:

[tex]\left\{According\ to\ the\ picture\right\}[/tex]

I hope this helps you

:)

Someone please explain this

Answers

Answer:

6

Step-by-step explanation:

I'm only going to answer the first one, then see if you can figure out the others.

We know that 8 students got a B.

We also know that the ratio of students who A's to students who got B's is 3 : 4

The 8 students that got B's is represented by 4 in the ratio.

8 / 4 = 2

Since we can multiply 4 by 2 to get 8, we can do the same to 3 to find out how many students got A's

2 x 3 = 6

6 students got A's

What is the perimeter of the triangle shown to the nearest tenths

Answers

Answer:

22 (I think)

Step-by-step explanation:

The picture is a lil blurry so I'm not sure if I counted the squares right. But basically, you count the squares from one dot to the next. For example, the one on the top that goes in a horizontal line is 6 squares. As for the other two lines, you count from the dot you're starting at and count VERTICALLY until you reach the same line as the point of the triangle. Like with the left side, it starts at point -5, 4 and you'll count how many squares it takes until you reach the same y-axis line as the tip of the triangle. So you should get to -5, -4 for the left side which counts to 8 squares. Same for the other side, also being 8 squares. Then just add it up. 8+8+6=22.

How much longer is a one inch button than a 3/8 inch button?

Answers

Answer:

5/8

Step-by-step explanation:

subtract 3/8 from 8/8 to get 5/8

Compare.

Select <, >, or = .

6 yd 216 in. Which is bigger

Answers

6yd and 216in and both equal

Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4
brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left
after she chooses the color?

Answers

Answer: The answer is BBBBBBBBBBBBBBBBBBBBBBb

Step-by-step explanation:

I did the test 2 times got it right 2 times

Have a good day ur welcome

Answer:

B

Step-by-step explanation:

In which quadrant is the point (2, -3) located?
O Quadrant II
O Quadrant IV
0 Quadrant I
Quadrant III

Answers

o Quadrant IV is located in the point (2,_3)

Answer:

Quadrant IV

Step-by-step explanation:

Q I = (+,+)

Q II = (-,+)

Q III = (-,-)

Q IV = (+,-)

(urgent!! please help) ​

Answers

Answer:

1 IS THE GIVEN

2 IS THE ADDITION PROPERTY OF EQUALITY

3 IS THE DIVISION PROPERTY OF INEQUALITY

Step-by-step explanation:

GIVEN IS ALWAYS THE PROBLEM GIVEN

YOU HAVE TO ADD 1 TO BOTH SIDES TO GET 20=5X

YOU HAVE TO DIVIDE EACH SIDE BY 5 TO GET 4=X

What are some possible sources of damage that property insurance would insure you against?
helllllllllllllllllllllllp meeeeeeeeeeeeee

Answers

Answer:

natural disasters, theft,fire

what is the fact family for 6,7,13 what is the answer​

Answers

6 plus 7 is 13, 7 plus 6 is 13, 13 minus 6 is 7, and 13 - 7 is 6.

2x + y = 20
6x - 5y = 12

Answers

Answer:

x=7, y=6

Step-by-step explanation:

Answer:

x=7, y=6

Step-by-step explanation:

we expand the first formula by 5.

5(2x+y) = 20x5

10x + 5y= 100

then we add the two formulas together.

10x+5y+6x-5y = 100+12

since the 5y can be cancelled out, it is much easier.

16x = 112

   x=7

now we can put x=2 into the first formula.

2x7+y =20

        y=6

can someone help this is for a big grade

Answers

Answer:

What's the question???

help please i need this fast

Answers

The second one is the answer

The table shows the amount of money that Memphis saved in his savings account after different amounts of time

What is the Constant of Proportionality? (please make sure to show your work)
How much money did Memphis save after 1 month?


PLEASE HURRY

(Giveing Brainly if I can :-/)

Answers

#1

Constant of proportionality means slope

[tex]\\ \rm\rightarrowtail m=\dfrac{225-100}{18-8}=\dfrac{25}{2}[/tex]

#2

We need equation

[tex]\\ \rm\rightarrowtail y-100=25/2(x-8)[/tex]

[tex]\\ \rm\rightarrowtail 2y=25x[/tex]

Put x=1

[tex]\\ \rm\rightarrowtail 2y=25[/tex]

[tex]\\ \rm\rightarrowtail y=25/2=12.5[/tex]

fond the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 4

Answers

Answer:

[tex]a_7=\dfrac{4}{729}[/tex]

Step-by-step explanation:

General form of geometric progression:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

Given:

[tex]a=4[/tex][tex]r=\dfrac13[/tex]

[tex]\implies a_n=4\left(\dfrac13\right)^{n-1}[/tex]

Therefore, when n = 7:

[tex]\implies a_7=4\left(\dfrac13\right)^{7-1}[/tex]

[tex]\implies a_7=4\left(\dfrac13\right)^{6}[/tex]

[tex]\implies a_7=4\left(\dfrac{1^6}{3^6}\right)[/tex]

[tex]\implies a_7=4\left(\dfrac{1}{729}\right)[/tex]

[tex]\implies a_7=\dfrac{4}{729}[/tex]

The scores on a certain test are normally distributed with a mean score of 53 and a standard deviation of 5. What is the probability that a sample of 90 students will have a mean score of at least 53.527?

Answers

Answer:

HERE

Step-by-step explanation:

The answer you're looking for is 0.1587

Write the absolute value in the form |x-b|=c (where b is a number and c can be wither a number or and expression) that has the following solution set.

Two solutions: x=-2, x=-32

Answers

Answer:

  |x +17| = 15

Step-by-step explanation:

The values that go into your absolute value equation template can be found by solving the template equation, then matching results to the desired solution values.

  |x -b| = c

resolves to ...

  x -b = c . . . . for x -b > 0

  x = b+c

and

  -(x -b) = c . . . for x -b < 0

  x = b -c . . . . . solve for x

__

The value of c must be positive, so the value b+c will be the most positive solution:

  -2 = b +c . . . . . the most positive solution

  -32 = b -c . . . . the most negative solution

Adding these equations gives ...

  2b = -34   ⇒   b = -17

  c = -2 -b . . . . from the first equation

  c = -2 -(-17) = 15

Putting the found values b=-17, c=15 into the absolute value equation template gives ...

  |x +17| = 15

Help with number 17 please

Answers

Answer:

B

Step-by-step explanation:

/ is positive

| neutral or something

\ is negative

- is also neutral

Answer:

B

Step-by-step explanation:

Look at the arrow, if the arrow is pointed downwards (like a roller coaster) its negative

Positive: diagonally up (roller coaster building up)

Negative: diagonally down (roller coaster drop)

Zero: straight

Unidentified: Horitzonal

11.in each of the following ABCD parralelgram calculate x and y

Answers

Answer:

x = 8/3, y = 16/3

Step-by-step explanation:

ΔBFE ~ ΔADE, so

x/8 = 6/(12 + 6), x = 8/3

y = 8 - x = 8 - 8/3 = 16/3

The perimeter of the rectangle is 98 inches The ratio of the length to the width is 4:3. What is the length and the width of the rectangle

Answers

Given :

The Perimeter of the rectangle is 98 inchesThe ratio of the length to the width is 4:3.

To Find :

The Length and width of the rectangle .

Solution :

We know that,

[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]

Let's assume the length of the rectangle as 4x inches. and the width is 3x inches.

Now, Substituting the given values in the formula :

[tex]\qquad \dashrightarrow{ \sf{2(4x + 3x )= 98}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2(7x)= 98}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{14x= 98}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{98}{14 } }}[/tex]

[tex]\qquad \dashrightarrow{ \bf{x= 7}}[/tex]

Therefore,

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 4x \: = 4(7) = 28 \: inches}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 3x = 3(7) = 21 \: inches}}}\:[/tex]

What is the polynomial of 6a+3 ?

Answers

Answer:

45

Step-by-step explanation:

Drag each tile to the correct box
An island is approximately in the shape of a triangle is shown a hospitality company wants to build a hotel on the island so it is equidistant from three coast of the island to determine the location H of the hotel a surveyor writes the steps for constructing a circle with center age and scribed in triangle JKL

Answers

Answer:

D, B, E, A, C

Step-by-step explanation:

The incenter is the intersection of the bisector of the triangle angle.

1) Construct the angle bisectors of angle JKL and angle LJK.

2) Label the point of intersection of the bisectors point H

3) Construct a segment HM that intersects side JK perpendicularly at point M.

4) Set the compass length to HM.

5) Draw a circle with the fixed end of the compass on point H.

The correct arrangement of the steps will be  D ⇒ B ⇒  E ⇒ A ⇒ C.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

The triangle is a highly common shape that we deal with on a daily basis. For instance, the right-angle triangle is frequently used to estimate the height of towers.

In a triangle, the sum of all three angles is 180°

The correct sequence of the given problem should be ;

(D) ⇒  Construct the angle bisectors of angle JKL and angle LJK.

(B) ⇒ Label the point of intersection of the bisectors point H

(C) ⇒ Construct a segment HM that intersects side JK perpendicularly at point M.

(D) ⇒ Set the compass length to HM.

(E) ⇒ Draw a circle with the fixed end of the compass on point H.

For more information about triangles,

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Can someone please help me with this thank you

Answers

Answer:

Step-by-step explanation:

1- .6 hours

2-a: 8

2-b: 40

2-c: 10

I hope this helps you! (:

For which value(s) of x are the triangles congruent?​

Answers

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

A baker is making cakes for a Big party. She uses 1/4 cup of all the cake how many kids can she make if she has a bottle of all their head in it?

Answers

Answer:

it depends on how big she wants them but typically a bakers dozen

Step-by-step explanation:

GUYS PLS HALP MEH Kiran's aunt is 17 years older than Kiran.

How old will Kiran's aunt be when Kiran is:
15 years old?


30 years old?


x years old?


How old will Kiran be when his aunt is 60 years old?

Answers

Answer:

32

45

75

Step-by-step explanation:

tbh its pretty basic..

Which is the better buy?
2-pint bottle of bleach for $1.86
2-gallon bottle of bleach for $10.56

Answers

Answer:

  gallon bottle

Step-by-step explanation:

There are 8 pints in a gallon, so 8 of the 2-pint bottles would be equivalent to 2 gallons. The cost of those would be ...

  8 × $1.86 = $14.88

This is greater than the $10.56 cost of a 2-gallon bottle, so the 2-gallon bottle offers a better buy for an equivalent quantity.

__

Additional comment

You could compare unit rates in terms of any of cost per ounce, cost per pint, cost per quart, cost per gallon. All that is needed is the cost for an equivalent quantity, or the quantity for an equivalent cost.

Or, one can look at cost and quantity ratios. The cost ratio is 10.56/1.86 ≈ 5.68; the quantity ratio is (16 pints)/(2 pints) = 8. The gallon size gives 8 > 5.7 times the product for 5.7 times the cost, so it is the better buy.

BRANY IS DUM AND IT IS WORNG

Answers

Answer:

36 is the answer to your problem. ↓

   3

x 12

 36

Here's how to do it ↓

3x2 = 6, write 6 in the ones place

3x1 = 3, write 3 in the tens place.

And what does that give you?

36!

Hello! Im Natalia. And I suggest you dont ask the type.of questions. Keep the feed clear for people who need help!

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