I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 30 miles per hour instead, then I would have arrived 25 minutes later. How many miles did I drive?

Answers

Answer 1

Step-by-step explanation:

x = number of hours driven

25 minutes = 5/12 hour

remember,

1 hour = 60 Minuten

5 minutes = 60/12 minutes = 1/12 hour

25 minutes = 5×5 minutes = 5/12 hour

x hours × 40 miles/hour = (x + 5/12) hours × 30 miles/hour

the dimensions "hour" eliminate each other from the top and the bottom of the fractions leaving only miles. and the miles must be the same either way.

40x = (x + 5/12)×30 = 30x + 150/12

10x = 150/12

x = 15/12 = 5/4 hours

40 miles/hour × 5/4 hours = 40×5/4 miles = 10×5 = 50 miles.

I drove 50 miles.


Related Questions

Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.



HELP PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.

Would anyone help me with this please, worth 20 pts.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.

So the perimeter = 3*5 + π  r

= 15 + 2.5π

= 22.85 in  to the nearest hundredth.

Start with x and cube it​

Answers

Answer:

x to the power of 3

Step-by-step explanation:

PLEASE HELP I HAVE 3 MINUTES LEFT TO DO THIS TY
Which expression is equivalent to 5(8 + 9)?
O 40 + 45
O 13 + 9
O 13 + 14
O 40 + 9

Answers

Answer:

40+45

Step-by-step explanation:

17x5 is 85

Answer:

40 + 45

Step-by-step explanation:

5(8 + 9)

= 5*8 + 5*9

= 40 + 45

Find the measure of

Answers

Answer:

64

Step-by-step explanation:

360-115-129=116 (the sum of exterior angles of triangle is 360)

180-116=64

2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).

Answers

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

Find the measure of angle

Answers

9514 1404 393

Answer:

  (b)  62°

Step-by-step explanation:

Let x represent the measure of the angle.

The complement is (90 -x).

The supplement is (180 -x).

The relationship between the supplement and the complement is ...

  (180 -x) = 6 +4(90 -x)

  180 -x = 6 +360 -4x

  3x = 186

  x = 62

The measure of the angle is 62°.

Jorge wants to find the height of the house, help him find it.

Answers

I think we need more explanation

What is the probability that client A, the newborn you’re considering for a 30-year policy, lives to be 30 years old? Client A is a non-Hispanic white male, so look in table 14.

Answers

Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A probability is the number of desired outcomes divided by the number of total outcomes, that is:

[tex]p = \frac{D}{T}[/tex]

In this problem:

Out of 100,000 clients, 97,555 lives to age 30, hence [tex]D = 97555, T = 100000[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]

There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A similar problem is given at https://brainly.com/question/25790531

Answer: The answer is 0.97424

Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.

Age

29-30 = 97,555

30-31 = 97,424

The correct row is 30-31.

97,424 / 100,000 = 0.97424

You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(

4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12

Answers

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD

Answers

Answer:

AUB={1,2,3,4,5,7,8,9}

ALL THE NUMBERS WITHOUT REPEATING

AnB={5}

THE NUMBER THE HAVE IN COMMON

(AnB)n(BnC)={5}not too sure

CUD={1,3,6,7,8,10}

5 divided by 325 what is the strategy to this question and answer

Answers

Answer: 65

Step-by-step explanation: divided the 2

These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.

Answers

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

-0.15 as a mixed number

Answers

Answer:

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.

can someone help me with this please?




Answers

Answer:

Okay, Please copy paste the question. I cannot see.

Step-by-step explanation:

What is the volume, in cubic inches, of a rectangular prism with a height of 7 inches, a width of 10 inches, and a length of 9 inches?

Answers

Answer:

Step-by-step explanation:

87

Answer:

630 in.³

Step-by-step explanation:

To find the volume of a rectangular prism, you can multiply the height, times the width, times the length. So, let's go ahead and do that with the values of the given prism.

7 × 10 × 9 = 70 × 9 = 630

So, our volume is 630...but not so fast. We also have to put in our units. Our units are inches × inches × inches, or inches³. So our final value is 630 in.³

Hopefully that's helpful! :)

last one i’m almost done.

Answers

Answer:

AFC

Step-by-step explanation:

You can tell by the angles

IN THE MIDDKE IF EXAM PLS HELPQuestion 3(Multiple Choice Worth 4 points)
Find the length of the unknown side. Round your answer to the nearest whole number.
5 in
5 in
7 inches
10 inches
25 inches
50 inches

Answers

Answer:

7 inches

Step-by-step explanation:

5 square + 5 square=50

the square root of 50 is 7.07

7.07 to the nearest whole number is 7

Answer:

7 Inches

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

5² + 5² = c²

50 = c²

[tex]\sqrt{50}[/tex] = c

c = 7.07

ROUND

c = 7 inches

2y = 8x- 70

What’s the slope and y intercept?

Answers

The answer would be
(0,-35)


Answer:

slope = 4, y- intercept = - 35

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2y = 8x - 70 ( divide through by 2 )

y = 4x - 35 ← in slope- intercept form

with slope m = 4 and y- intercept c = - 35

what is 4 1/6÷5 please help

Answers

Answer:

It is 5/6

Step-by-step explanation:

For questions like these use caculator soup you can use it for fractions and much more it shows u how to work the problem out also.

Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)

Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20

What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.

B. Use the multiplication property of equality to isolate the constant on one side of the equation.

C. Combine the like terms on the right side of the equation.

D. Combine the like terms on the left side of the equation.

Answers

Answer:

The answer is D

Step-by-step explanation:

D

Amanda has $5200 in a savings account that earns 4% simple interest annually. What is the value of her account in 5 years?

Answers

Answer:

6,240

Step-by-step explanation:

You start off with 5200, if she earns 4% each year for the next 5 years, she would earn a total of 20% more than what she had now.

You would multiply 5,200 by 1.20 Which equals the answer (above)

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Every unit on the left side of the table is going to go on the horizontal or x axis. With a measurement of 2 you got 2 to the right of the origin. Then the right side of the table is the vertical or y axis. And your first number there is one so after you go two right of the origin go up one. Now do that for all pairs, do not connect any lines and remember the rule for graphs, first you go in the elevator (act on x first) then you go up (y next)

translate the graph of f(x) ___ 3 units
the point ___ is on the graph of g(x)

Answers

Answer:

Down 3 units

Step-by-step explanation:

Given functions:

f(x) = ∛x and g(x) = ∛x - 3

The g(x) is a translation of f(x) down 3 units, as g(x) = f(x) + b is a vertical shift b units (up if b > 0, down if b < 0)

The second part of question is unclear as drop down is not visible to us

Find the equation of the line with slope m = 2 that contains the point (8,19).

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Pls mark as brainliest

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line with slope m = 2 and point (8, 19) is

y = 2x + 3

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope:

m = 2

Point = (8, 19) = (x, y) _____(A)

Now,

The equation of a line is given as,

y = mx + c ______(B)

Substitute (A) into (B)

From (A) we get,

19 = 2 x 8 + c

19 = 16 + c

c = 19 - 16

c = 3

Now,

The equation of the line with slope m = 2 and point (8, 19) is

y = 2x + 3

Thus,

The equation of the line with slope m = 2 and point (8, 19) is

y = 2x + 3

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Is (2, 1) a solution to the equation y = 2x - 1?

Answers

Answer:

No

Step-by-step explanation:

Substitute the values for their respective variable and evaluate.

[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]

Therefore, (2, 1) is not a solution to the equation y = 2x - 1.

(2, 1) is in the form of (x, y).

Then,

☆ x = 2

☆ y = 1

Equation =》y = 2x - 1

Now, substitute the values.....

=》y = 2x - 1

=》(1) = 2(2) - 1

=》1 = 4 - 1

=》 1 ≠ 3

So, (2, 1) is NOT a solution to the equation y = 2x - 1.

______

Hope it helps ⚜

Graph one function of y=1/3tan(x-π)

Answers

Answer:

ayúdame a encontrarla soy de Perú por favor ayuda

Please Help! I don't understand how the Alabama paradox works. I will give you a lot of points!

--PLEASE show all work

The table shows the populations, in thousands, of the three states in a country with a population of 3760 thousand. Use Hamilton's method to show that the Alabama paradox occurs if the number of seats in congress is increased from 24 to 25

Answers

Answer:

  State A loses a seat to State B when the total is increased

Step-by-step explanation:

The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.

The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).

If the whole number is 1 or greater, the number of seats allocated at least that whole number.

If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.

__

The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.

When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.

_____

Additional comment

Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.

Please help do this

Answers

Answer:

1)m+5q=1+5x5 =262)(y-x^3)=3-1^3 =3-1 =23)q(p+2)=3(3+2) =3(5) =154)y+y-x=5+5-6 =10-6 =45)(z+y)÷6=6+6÷6 =26)h(j-h)=3(6-3) = 3x3=97)x+y+y = 5+2+2=98)z^2-y =9-4=59)b(4+a)=2(4+6) =2x10 =2010)m-n+m =5-1+5 = 4+5 =911)(h+j)÷6 = (2+4)÷6 = 1

mark as brainliast plz

What is the answer to this question: 8V+3=105
Note: this is Vertical/Adjacent/Complementary Angles (Algebraic)

Answers

8V+3=105

clt

8v=105-3

=102

divide both sides by 8v

8v=102/8v

V=12.75

Other Questions
in the 2020 season, the entire wnba played in a bubble. what town was their bubble located? How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth. What is meant by permutations ? In one to two sentences, explain how the meaning of the words all men are created equal has changed over time If point A is located at (-7 , 5) on a coordinate plane, and point B is located at (4 , 5), what is the distance between the two points? Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses. Card A Card B Amount $1,879. 58 $861. 00 APR 14% 10% Monthly Payment $43. 73 $18. 29 After 5 years, how much will Marcia have saved in interest by consolidating the two balances? a. $1,526. 40 b. $2,422. 80 c. $105. 00 d. $227. 40. . The gas in a piston (defined as the system) warms and absorbs 655 J of heat. The expansion performs 344 J of work on the surroundings. What is the change in internal energy for the system HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!! i need help with this question 6/7 = x/11 round to nearest tenth A soccer player is running at a rate of 6m/s. He then stumbles over an opponent's foot falling & rolling to a stop. This took 4 seconds. What was his acceleration? A square is 3 inches by 3 inches. What is its area What is the solution of 2x-5(x-4)=-8+5x-12. In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. If the spectator has an angle of 115 between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?hole? 25.6 39.4 64.3 65.0 PLEASE HELP!! PLEASE AND THANK YOU! Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.1. If she eats 2 servings of granola, how many calories does she eat? calories2. If she wants to eat 1050 calories of granola, how many servings should she eat servings3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten. help quick dont guess 15 mm 4 mm 3 mm what is the surface area of the prism Which of the above reactions is NOT an oxidation-reduction (redox) reaction?A.First (blue)B.Third (white)C.Fourth (purple)D.Fifth (pink)E.Second (red) What changed after the American Revolution?