Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?

Answers

Answer 1

Answer:

It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.

Step-by-step explanation:

This question is solved by rates, using a rule of three.

52 miles in one hour. How many hours for 247 miles?

1 hour - 52 miles

x hours - 247 miles

Applying cross multiplication:

[tex]52x = 247[/tex]

[tex]x = \frac{247}{52}[/tex]

[tex]x = 4.75[/tex]

It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.


Related Questions

In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point Bare (10,6). Match each pair
of coordinates to the corresponding point on AB
(4,4,5)
D
(4,4.75)
E
(9,5.75)
H
(8,5.75)
(8,5.5)
(5,4.75)
(7,5.25)

Answers

Answer: D = 4, 4.5

E = 5, 4.75

H = 8, 5.5

I = 9, 5.75

Step-by-step explanation:Gang

The coordinates of the corresponding points are given below.

C ⇒ (3, 4.25)

D ⇒ (4, 4.50)

E ⇒ (5, 4.75)

F ⇒ (6, 5)

G ⇒ (7, 5.25)

H ⇒ (8, 5.50)

I ⇒ (9, 5.75)

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.

AB is separated into equal sections in the picture. Point A's coordinates are (2, 4), and Point Bare's coordinates are (10,6).

There are eight sections of line AB. Then the rise in abscissa after each segment is calculated as,

⇒ (10 - 2) / 8

⇒ 8 / 8

⇒ 1

Then the rise in ordinate after each segment is calculated as,

⇒ (6 - 4) / 8

⇒ 2 / 8

⇒ 0.25

Then the coordinate of the points is written as,

C ⇒ (3, 4.25)

D ⇒ (4, 4.50)

E ⇒ (5, 4.75)

F ⇒ (6, 5)

G ⇒ (7, 5.25)

H ⇒ (8, 5.50)

I ⇒ (9, 5.75)

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ7

The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transformed-time data given below, determine the total time required for the transformation to go to 92% completion. Fraction transformed Time (s) 0.2 12.6 0.7 25.7 Enter your answer in accordance to the question statement s

Answers

Solution :

Avrami relationship

[tex]$1-y=exp(-kt^n)$[/tex]

[tex]$\ln(1-y)=-kt^n$[/tex]

[tex]$-\ln(1-y)=kt^n$[/tex]

[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]

The fraction transformed is 0.2 at 12.6 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]

[tex]$-1.5 = \ln k + 2.533 n$[/tex]  .........(i)

The fraction transformed is 0.7 at 25.7 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]

[tex]$0.5 = \ln k + 3.24 n$[/tex]   ..............(ii)

Subtract (ii) from (i),

-2 = -0.71 n

n = 2.81

Therefore, from (i),

[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]

k = 0.000181

Now if the fraction transformed is 0.92, then

[tex]$kt^n=-\ln (1-y)$[/tex]

[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]

[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]

t = 29.8528 s

can you help me with this one

Answers

Answer:

q = 3m

Step-by-step explanation:

We know that segment HF is half of IJ, therefore we can say;

IJ / 2 = HF or q

6 / 2 = HF or q

3 = HF or q

Hope this helps!

25 POINTS NEED HELP QUICKLY:

Choose the system of inequalities that best matches the graph below.



A.

B.

C.

D.

Answers

Answer: D y>2x-1

y<1/3x+1

Step-by-step explanation: I took the test and got it right

The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).

What is inequality?

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given the system of inequalities as

y>2x-1 and y<1/3x+1.

To determine the solutions, you first have to graph both of the lines in the problem.

y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.

Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2


[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]

Answers

Answer:

The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.

[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.

Please help and hurry!

Answers

Step-by-step explanation:

6.5+6.5=diameter

Answer:

13 cm

Step-by-step explanation:

The diameter is twice the radius

The radius is 6.5 cm

diameter = 2 * 6.5 = 13 cm

please solve both thank you!

Answers

Answer:

First problem: 24 + 4x = 60

Second problem: 9

Step-by-step explanation:

24 + 4x = 60

4x = 36

x = 9

I’m pretty sure the x are 9 because it you do 9x4= 36 then you add 24 and it will equal to 60

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is one hundred and eight 108

Step-by-step explanation:

108 bro trust me

68 - 4 × (6 - 4)4

pls help the answer questions are
16 80 4 or -2

Answers

The answer and the steps are on the picture

HELP someone please!!!! i dont understand

Answers

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45

Adjacent = 19

Since we know the Hyp and Adj, we would apply CAH, which is:

Cos x = Adj/Hyp

Plug in the values

[tex] cos(x) = \frac{19}{45} [/tex]

[tex] x = cos^{-}(\frac{19}{45}) [/tex]

x = 65.0250346°

x = 65.03° (nearest hundredth)

does 2, 5, and 7 make a right triangle

Answers

Answer:  No, we don't have a right triangle

==========================================================

Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

2^2+5^2 = 7^2

4+25 = 49

29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do not have a right triangle.

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

In contrast, consider the classic 3-4-5 right triangle

a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

4.0.

Step-by-step explanation:

In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.

Answer:

option D.  4.0

Step-by-step explanation:

                    Mass              Volume

Sample 1        0.65                0.5

Sample 2        5.2                   x

[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]

solve the following equation 4 x + 10 = 66

Answers

-> 4x= 66-10

-> 4x= 56

-> x= 56/4

-> x= 14

mark me brainliestttt plsss :)))

Answer:

x = 14.

Step-by-step explanation:

4x + 10 = 66

4x + 10 - 10 = 66 - 10

4x = 56

x = 56/4 = 14.

Which of the following have
a value equal to [-12]?

Answers

Answer:

option 3) ii, iv, v

Step-by-step explanation:

|-12| means write the absolute value, which means just the number without the sign.

Therefore |-12| = 12

So, ii.  12

    iv.   |12| is also = 12

     v.   -( -12) is also = 12

Answer:

12.00000000000000000

Which of the following elements represents part of the whole? a. percentage b. base c. rate d. both a and b

Answers

Answer:

Percentage

Step-by-step explanation:

marks)
9 (b). The first two terms of an arithmetic progression are shown.
р
5p
The sum of the first three terms is 90
Work out the value of p.

Answers

9514 1404 393

Answer:

  p = 6

Step-by-step explanation:

The difference between the first two terms is ...

  5p -p = 4p

Since this is an arithmetic sequence, the next term will be 4p more than the last term:

  5p +4p = 9p

Then the sum of the first three terms is ...

  p + 5p + 9p = 90

  15p = 90 . . . . . . . . . . collect terms

  p = 6 . . . . . . . . . . . . divide by 15

_____

The first three terms are 6, 30, 54.

ILL GIVE BRAINLIEST AND 10 POINTS

Answers

Answer:

[tex](7m^2+10)^2[/tex]

Step-by-step explanation:

This is a quadratic in disguise. To visualize this better, let [tex]x=m^2[/tex]. We have:

[tex]49x^2+140x+100[/tex]

To factor, we can write out the format [tex](ax+y)(bx+z)[/tex]. We're looking for numbers [tex]a[/tex], [tex]b[/tex], [tex]y[/tex], and [tex]z[/tex] such that the following is true:

[tex]a\cdot b=49[/tex] [tex]a\cdot z+b\cdot y=140[/tex]  [tex]y\cdot z=100[/tex]

We find the following numbers:

[tex]a=7,\\y=10, \\b=7, \\z=10[/tex]

Thus, we have:

[tex](7x+10)(7x+10)[/tex]

Substitute back [tex]x=m^2[/tex] to get your final answer:

[tex](7m^2+10)(7m^2+10)=\boxed{(7m^2+10)^2}[/tex]

I believe this is the answer

Solve the formula Ax + By = C for X

Answers

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

a. Find the slope of the line going through the points (-7, 7) and (3.-5).​

Answers

Answer:

-1.2

Step-by-step explanation:

Which equation is part of the same family as 5×4 = 20

Answers

Answer:

4x5=20

20 divided by 5 = 4

Step-by-step explanation:

Answer:

20 ÷ 4  = 5 and 20 ÷ 5  = 4 also 4 x 5  = 20

Step-by-step explanation:

Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $0.50 if a 4, 5, or 6 is rolled.
a) Find the expected value of playing the game.
b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win___dollars per roll.
2) Elsa can expect to lose money She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).

Answers

Answer:

A. 0.75

B. Elsa can expect to gain 0.75 dollars

Step-by-step explanation:

We have six outcomes

Using the table in the attachment, the expected value was calculated.

Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333

= 0.75

B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.

If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²

Answers

Answer:

(5^2)(5-7)

Step-by-step explanation:

So we know h(x)=x-7.

We also know g(x)=x^2

We need to plug in these values for (g*h)(5)

This would equal:

((x-7)*x^2)(5)

Since parthese can also be considered multipcation symbols, we can think of this as:

(x-7)(x^2)(5)

Lets distrubute the 5 to all the x's:

(5-7)(5^2)

Which is:

([tex]5^{2}[/tex])(5-7)

This looks like answer C.

Hope this helps!

Triangle PQR with area 32cm square and base QR is an enlargement of Triangle ABC with area 8 cm square and base BC=3cm , what is the length of QR in cm?
a) 6
b) 8
c) 10
d) 12

Answers

Answer:

6 cm (Option A)

Step-by-step explanation:

GIVEN :-

ΔPQR whose area is 32 cm² & has base QR.ΔABC whose area is 8 cm² & has base BC = 3 cmΔPQR is an enlarged figure of ΔABC.

TO FIND :-

Length of QR

FACTS TO KNOW BEFORE SOLVING :-

Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.

[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]

SOLUTION :-

In the question it's given that ΔPQR is an enlarged figure of ΔABC.

⇒ ΔPQR is similar to ΔABC.

[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]

[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]

Root squaring both the sides ,

[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]

[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]

Multiplying both the sides by 3 ,

[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]

[tex]=> QR = 6 \:cm[/tex]

Solve the Exponential Equation:
[tex]5 { }^{66} = {3}^{42} [/tex]

Answers

Answer:
.........

Work:

Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a whole small pizza?
Show your work and remember to answer the question.

Answers

Answer:

Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.

Step-by-step explanation:

For Pizza Uno:

If 2/3 of a Pizza costs $3.50, divide it by 2.3.50 ÷ 2 = 1.75For each 1/3 it costs $1.75Multiply 1.75 by 3 to get a whole pizza.1.75 × 3 = 5.25

For pizza Duo: (the "%" is actually 3/4)

If 3/4 of a pizza costs $4.20, divide it by each 1/4 you get (3).4.20 ÷ 3 = 1.40Each fourth (1/4) costs $1.40 eachMultiply 1.40 by 4 to get a whole pizza1.40 × 4 = 5.60

help? (i mark brainlist)

Answers

The answer is D
Hope this helps :)
Answer: d
Explanation:

A train leaves a station at 10.15am and
gets to another one at 1.15pm. The
average speed between the stations
is 76km/hr. What is the distance?

Answers

9514 1404 393

Answer:

  228 km

Step-by-step explanation:

Traveling 3 hours at 76 km/hour, the train covers a distance of ...

  distance = speed × time

  distance = (76 km/h)(3 h) = 76×3 km = 228 km

(-1) × (-1) × (-1) × (-1) x (-1)

Answers

( - 1 )^5 = - 1

.....................

.....................

.....................

Answer:

the answer is -1 have a nice day

maths question 11 divided by 4 please give me the answer in decimal as fast as u can

Answers

2.75

Step-by-step explanation:

[tex]\sf\purple{2.75}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{11}{4} \\ = 2.75[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

tell whether the ordered pair is a solution of the equation! please help i will mark you brainliest

Answers

Answer:

the answer is

yes to 7 and no to 10

Step-by-step explanation:

7. y = 3x--------->   2*3 = 6

10. y = 7x+2--------------> 2*7=14--> 14+2 = 16

16 does not equal 0

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