You are on the way to the ski slopes to spend the week. the mountains are 678 miles from your home. if you drive 75 miles an hour and take six 15-minute rest breaks, how much time will you need to make the trip? round your answer to the nearest tenth.

Answers

Answer 1
The answer is 10 hours and 33 minutes

Related Questions

Term insurance covers the insured for the stated term of the policy.

True
False

Answers

The Answer is True . . . . 

Answer:

it's true

Step-by-step explanation:


A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?

Answers

Given: x – 7 and x – 3 &  AC is split into lengths of x and x + 12.

Solution:

(x – 7) / (x – 3) = x / (x + 12)

(x – 7) (x + 12) = x (x – 3)

x^2 + 5x – 84 = x^2 -3x

8x = 84

x = 10.5
Thus,

AC = x + x + 12

= 10.5 + 10.5 + 12

= 33 would be the length of AC

33

[tex]\frac{x-7}{x} = \frac{2x-10}{2x+12}[/tex] → x = [tex]\frac{21}{2}[/tex]

AC = x + x + 12 = [tex]\frac{21}{2} + \frac{21}{2}[/tex] +12 = 33

A map shows the distance between the corner of Cactus Road and 1st Street and the corner of 1st Street and Merle Road as 3 inches. If the scale is 1 in. : 3.7 mi, what is the actual distance? A. 1.3 mi B. 22.2 mi C. 11.1 mi D. 111 mi

Answers

C: 11.1 mi Just do 3.7*3 to get the answer which is from the scale 1:3.7.
1in : 3.7mi
3(1)in : 3(3.7)mi
3in : 11.1mi
Answer: C

George traveled 300 miles in 8 hours. How far could he travel in 4 hours if he traveled at the same rate?

Answers

Divide 300 by 8 to find the unit rate
300/8= 37.5

He travels 37.5 miles per hour

If he travels 37.5 miles per hour, to find the amount in 4 hours we would do 37.5 times 4


37.5×4=150


In 4 hours he travels 150 miles
In 4 hours George would travel 150 miles . 300/8=37.5×4= 150 miles

2/3 + y - 1/9 = 7/9 Solve for Y
2 1/2x - 3/4(2x + 5) = 3/8 Solve for X
0.9 (x + 1.4) - 2.3 + 0.1x = 1.6 Solve for X

Answers

A. Y = 2/9
B. X =  11/24
C. X = 2.64

Answer:

A. Y = 2/9

B. X =  11/24

C. X = 2.64

Sakura speaks 150 words per minute on average in Hungarian and 190 words per minute on average in polish she once gave cooking instructions in polish Sakura spent 5 minutes total giving both instructions and spoke 370 more words in polish than Hungarian

Answers

let  p   time in minutes speaking Polish
let  h   time in minutes speaking Hungarian

p  +   h   =  5    equation 1 

190 p - 150 h = 370          equation 2

multiply eq. (1) by 150 (both sides) 

15 0p + 150 h = 750 

190p -150 h = 370 

add the two eqiations we get :

190 p + 150p = 370 + 750

340 p = 1120

p= 1120/ 340 =  3.29 

3 minutes speaking Polish and 2 minutes speaking Hungarian.


make sure if the  number 370 ?? i think it is wrong , it can be 270  because i get a point in the answer 

An iron fence reacts with the oxygen in the air to form rust. The formation of rust is an oxidation-reduction reaction and a _____ reaction.
A. decomposition
B.combustion
C. synthesis
D. single-replacement

Answers

Final answer:

The formation of rust on an iron fence is a synthesis reaction, where iron combines with oxygen in the air to create iron oxide. During this process, iron is oxidized and oxygen is reduced, making it an oxidation-reduction (or redox) reaction.

Explanation:

The formation of rust is an oxidation-reduction reaction and a synthesis reaction. Rusting occurs when iron reacts with oxygen in the air, typically in the presence of water, to form iron oxide.

The process can be summarized as iron (Fe) being oxidized to iron(II) ions (Fe2+) which react further with oxygen and water to produce a hydrated iron(III) oxide, commonly known as rust (Fe2O3·xH2O).

This process is classified as a synthesis reaction because it involves the combination of simpler substances - iron and oxygen - to form a more complex compound, namely iron oxide.

In comparison to other types of reactions, decomposition refers to a single compound breaking down into two or more simpler compounds or elements.

Combustion reactions involve fuel (often a hydrocarbon) reacting with oxygen to produce carbon dioxide and water.

Lastly, single-replacement reactions occur when an element replaces another element in a compound. Since the reaction of iron with oxygen adds oxygen to create a new product, rather than decomposing, combusting, or substituting, it is indeed a synthesis reaction.

A trainer gives his horse, Caballo, 7 gallons of water every day from a 57 - gallon container. How many days will Caballo receive his full portion of water from the container? On which number day will the trainer need to refill the container of water?

Answers

The trainer gives his horse, Caballo water 7 gallons of water a day out of a 57 gallon container, so for eight days the horse gets his full portion of water, on day 9 the trainer must add more water to the container.

First step to solve the equation 9h-21=99

Answers

9h-21=99
+21 +21 add 21 to both sides
9h= 180
/9 /9 divide 9 by both sides
h= 13.3~

Which graph represents the division of -12 / 4 ?

Answers

The top graph represents the division of -12/4

Let f(x) = x2 and g(x) = x − 3.

Evaluate (f ∘ g)(−2).


1


25


−7


20 My guess

Answers

Answer:

[tex]25 = f(g(-2))[/tex]

Step-by-step explanation:

[tex]g(-2) = -2 - 3 = -5 \\ \\ f(-5) = {[-5]}^{2} = 25 \\ \\ 25 = f(g(-2))[/tex]

I am joyous to assist you anytime.

y=1/4x+1 Solve for x and show your work

Answers

y-1=1/4x
4y-4=x

would be a step by step solution

If you know the density and volume of a substance, how could you find its mass?

Answers

Since D=MV, we can infer that M=D/V
That is your equation----------------^

Is it true that a continuous function that is never zero on an interval never changes sign on that​ interval? give reasons for your answer?

Answers

Yes it is true that a continuous function that is never zero on an interval never changes sign on that interval. This is because of ever important Intermediate Value Theorem.

Yes, It is true that a continuous function that is never zero on an interval never changes its sign on that​ interval.

What is a continuous function?

In mathematics, a continuous function is a function such that a continuous variation of the argument causes a continuous variation of the value of the function. This indicates that there aren't any discontinuities or sudden changes in value.

Unchanged sign is a property of continuous functions that are never zero on an interval, hence this is true. This is due to the perennially significant Intermediate value theorem.

Therefore, It is true that a continuous function that is never zero on an interval never changes its sign on that​ interval.

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The perimeter of a rectangle is 66 m. the length is 1 m more than three times the width. find the dimensions of the rectangle.

Answers

P = Perimeter
L = Length
W = Width

L = 1 + 3W (1m more than 3 times the Width)
W = W

Rectangle has 4 sides

2(1+3W) + 2W = 66
2+6W+2W=66
2+8W=66
8W=64
W=8

Plug 8 in L to find Length side

L = 1+3(8)
L= 1+24
L=25

Check**
2(L) + 2(W) = 66
2(25) + 2(8) = 66
50 + 16 = 66
66 = 66

:D

A bag contains 4 red marbles, 5 yellow marbles, and 6 blue marbles. three marbles are to be picked out randomly (without replacement). what is the probability that exactly two of them have the same color

Answers

A 50 50 percent , I think

how to simplify 6/35

Answers

well if you think about it you can evenly divide both the denominator and numerator by 6. when you do this the fraction becomes 1/5.

The graph of which function passes through (0,4) and has a minimum value at 3pi/2, 3

Answers

[tex]Answer:f(x) = sine(x) + 4[/tex]

Answer: f(x) = sin(x)+4

Step-by-step explanation:

Romeo and Juliet headed north at 8.a.m by noon Romeo was 80 miles ahead of Juliet what was romeos speed if Juliet's speed was 30 miles per hour? Will give brainlest for help!!!

Answers

He was going at 50mph

What is the solution to 3x+2.4≥3.0

Answers

3x  ≥3.0 - 2.4
3x ≥ 0.6
x ≥ 0.6/3
x ≥ 0.2 is your answer 

Answer:

A

Step-by-step explanation:

Rosa brought d drawings to an art show. After selling 14 of them , she had 34 left . Identify the equation that represents this situation and the correct solution

Answers

Answer:

[tex]d-14=34[/tex] shows that when we add sold drawing we get the total drawings.

Step-by-step explanation:

We have been given that Rosa brought d drawings to an art show.

After selling 14 of them, she had 34 left.

We have to form  a equation such that when we add 14 in 34 we get the total of drawings.

[tex]d-14=34[/tex]    (1)

Equation (1) shows that when we add sold drawing we get the total drawings.

Answer:

d - 14 = 34; d = 48

Step-by-step explanation:

Two events e and f are​ __________ if the occurrence of event e in a probability experiment does not affect the probability of event f.

Answers

Two events e and f are​ independent if the occurrence of event e in a probability experiment does not affect the probability of event f. And if it opposite to that and affect the probability of event f, then two events are dependent.
When we collect the possible outcomes from a probability experiment, this is called an event and it may consist of one or more than one outcomes.
Final answer:

Two events are independent if the occurrence of one event does not affect the probability of the other event.

Explanation:

Two events are independent if the occurrence of one event does not affect the probability of the other event. This means that the outcomes of the two events are not related and the probability of one event happening does not change based on whether the other event occurred or not.

For example, if you flip a coin and roll a die, the outcome of the coin flip does not affect the probability of getting a certain number on the die roll. The two events are independent.

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If w||v, solve for x.

Answers

The two angles are alternate exterior angles, so they have the same measure.

5x+42=8x-15
5x+57=8x
57=3x
x=19

100 pts LZ HLP(d) Mrs. Carothers suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30% lower than $2075. What was the price the travel agent found? Explain and Show your work. (Hint: there is more than one step to this problem!)

Answers

2075 x .3 = 622.5
2075 - 622.5 = 1452.5


$1452.5

Answer:$1452.5


Step-by-step explanation:2075*.3=622.5

2075-622.5=$1452.5 is you answer

if im wrong correct me but have a blessed day


answer by:

(DJ)


Ben and Josh are in the same physical education class. Ben weighs twelve more pounds than josh. Together their weights add to 144. How much does each one weigh?

Answers

Josh weight 66 pounds and Ben weighs 78 pounds.

Using x to represent Josh's weight, the formula is
x + (x + 12) = 144. Combine like terms to make 2x + 12 = 144. Subtract 12 from each side so that 2x = 132. Finally, divide both sides by 2 to get x = 66, which is Josh's weight. Add 12 pounds to find Ben's weight, which is 78 lbs.
Simpler way is to work backwards and say 144-12= 132
132/2= 66
Then u add the 12 for Ben which his weight would be 78
And josh’s would be 66

Bill spends two days driving from point a to point
b. on the first day, he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day. if during the two days he drove a total of 680 miles over the course of 18 hours, what was his average speed on the second day, in miles per hour?

Answers

Answer: his average speed on the second day is 35 miles per hour

Step-by-step explanation:

Bill spends two days driving from point a to point b

Let x = his speed on the first day.

Let y = his speed on the second day

Speed = distance / time

Time = distance / speed

Total time spent on the trip is 18 hours

Let time that he spent on the first day be t hours

Time that he spent on the second day will be 18 - t

Bill drove 2 hours longer on the second day than on the first day. This means

t = 18 - t + 2

t+t = 18+2

2t = 20

t = 10

He spent 10 hours on the first day.

He spent 18-10 = 8hours on the second day.

Bill drove at an average speed of 5 miles per hour faster than he drove on the second day. This means that

x = y + 5 - - - - - - - -- 1

Distance travelled on the first day = speed on the first day × time spent. This becomes

10 × x = 10x miles

Distance travelled on the second day = speed on the second day × time spent. This becomes

8 × y = 8y miles

He drove a total of 680 miles over the course of the 18 hours. This means that

10x + 8y = 680 - - - - - - - - 2

Substituting equation 1 into equation 2, it becomes

10(y + 5) + 8y = 680

10y + 50 + 8y = 680

10y + 8y = 680 - 50

18y = 630

y = 630/18 = 35 miles per hour

x = y + 5 = 35 + 5

x = 40 miles per hour

For the geometric sequence 3, 12, 48, 192 find the indicated term

Answers

768

3x4= 12
12x4= 48
48x4= 192
192x4=768

What is the number of x intercepts of the parabola with equation y=6x^2-4x-3?

Answers

There will be two x-intercepts at approximately 1.12 and -0.45 on the x-axis. I found those using the quadratic formula.
Final answer:

The parabola y=6x^2-4x-3 has 2 x-intercepts. This is determined by solving the equation for when y equals zero, using the quadratic formula. Because the discriminant is positive, there are two distinct real solutions, indicating the two x-intercepts.

Explanation:

To find the number of x-intercepts of the parabola with equation y=6x^2-4x-3, you need to set y to 0 and solve the equation for x. The solutions for x will be the x-coordinates of the intercepts.

The x-intercept(s) occur where y=0. The quadratic formula, x = [-b ± sqrt(b^2 - 4ac)]/2a is used to find these points.

Substituting the coefficients a=6, b=-4, and c=-3 into the formula, we get:

x = [4 ± sqrt((-4)^2 - 4*6*(-3))]/(2*6)

This simplifies to x = [4 ± sqrt(16+72)]/12 = [4 ± sqrt(88)]/12

Since the value under the square root (the discriminant) is positive, we have two distinct real solutions for x. This means that the parabola crosses the x-axis at two points, so there are 2 x-intercepts.

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When two lines intersect to form a 90 degree angle, these lines are called ________ lines?

Answers

When two lines intersect to form a 90 degree angle, these lines are called perpendicular lines.

Answer:

perpendicular lines.

Step-by-step explanation:

rewrite d= 2r in function notation

Answers

Final answer:

The equation d = 2r can be rewritten in function notation by replacing 'd' with 'f(r)', giving the function f(r) = 2r.

Explanation:

To rewrite the equation d = 2r using function notation, we first need to understand that function notation is a way to represent a function that is derived from a certain equation. Here, the equation given is d = 2r, where d is in terms of r.

To translate this into function notation, we would change d to f(r). The letter f stands for 'function', and the (r) is the variable that the function is dependent upon. Therefore, the equation d = 2r would be rewritten in function notation as f(r) = 2r.

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