Two runners started to run in the same direction at the same time. The speed of the first runner is 8 mph, and the speed of the second runner is 9.6 mph. What is the distance between them after 5 hours?

Answers

Answer 1

Answer:

8 miles

Step-by-step explanation:

9.6-8=1.6

1.6 times 5 equals 8 miles

Answer 2

It should be noted that after 5 hours, the distance between the two runners will be 8 miles.

How to calculate the distance

Distance = Speed × Time

For the first runner:

Distance covered by the first runner = Speed of the first runner × Time

= 8 mph × 5 hours

= 40 miles

For the second runner:

Distance covered by the second runner = Speed of the second runner × Time

= 9.6 mph × 5 hours

= 48 miles

Since both runners are running in the same direction, we subtract the distance covered by the first runner from the distance covered by the second runner to find the distance between them:

Distance between the runners after 5 hours = Distance covered by the second runner - Distance covered by the first runner

= 48 miles - 40 miles

= 8 miles

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Related Questions

Which of the equations are true identities?
A. m^3-1= (m - 1) (1 + m + m²)
B. (n + 3)^2 + 2n = 8n + 13

Answers

Answer:

Equation A is true; Equation B is not

Step-by-step explanation:

There is a standard formula for the "difference of cubes" that is:

x^3 - y^3 = (x - y)(x^2 + xy + y^2)

and this perfectly matches equation A.

Equation B has the square of n (n^2) on the left side but not on the right side.  Thus this is not an identity.

8m-12-6m+4m help I suck at math​

Answers

Well, all we have to do is combine like terms:
2m - 12 + 4m =
6m - 12

8m+4m-6m-12

12m-6m-12

12m-6m

-6m

14.
Which is the most reasonable measure for the length of
a bicycle?
C. 2 cm
B. 2 m
A. 2 mm
D. 2 km

Answers

Answer:

B 2 m

Step-by-step explanation:

2 cm and 2 mm are way to small they are less than the size of a cell phone

2 km is way to large it is larger than a car

Which is the mode for the data set? −1, 0, 3, 4, −3, −1
0.3 −1 2 −0.5

Answers

Answer:

-1

Step-by-step explanation:

Mode is the number that appears most often

−1, 0, 3, 4, −3, −1

-1 appears twice which is more than any other number

-1 is the mode

Please help me to solve these questions as soon as possible. Thank you
1) 6 is a common factor of 36 and y. Find the possible value of y.
A. 25 B. 48 C.57 D. 81

2)Which of the following shows 180 as the product of prime factors?
A. 180=2×90
B.180=2×2×45
C.180=2×2×3×15
D.180=2×2×3×3×15​

Answers

Answer:

1) B, 48

2) C. 180=2x2x3x15

Step-by-step explanation:

Which of the following is the place value of the underlined digit? 35.1789
A ten-thousandths B tenths
C thousandths D hundredths

Answers

Answer:

1 = tenths place

7= hundredths place

8= thousandths place

9= ten-thousandths place

Step-by-step explanation:

& A wall is 20 m long and 5 m high. Find the area of the wall. How many 2 m long 2 m broad flex be fitted on the wall? Suppo tanks the se be and Cuboid​

Answers

Area of wall = l×b

Length = 5m

Breadth = 20m

Area = 5×20

=100m²

Area of flex = side×side

= 2×2

= 4m²

Now no of flex that can be fitted = 100/4

= 25 flex

Must click thanks and mark brainliest

f(x) = – 2x
g(x) = 8x2- 5x+7
Find (f.g)(x).

Answers

f(x) = -2x

-2x = 0

x = 0/-2

x = 0

Now putting 0 as x in g(x)

g(x) = 8x^2 - 5x + 7

g(0) = 8(0)^2-5(0)+7

= 0 - 0 + 7

= 7

Answered by Gauthmath must click thanks and mark brainliest

what is twelve less than a variable

Answers

Answer:

x - 12

Step-by-step explanation:

"twelve" - number

"less than" - switches the entire expression

"a variable" - a unknown number shown as a letter. can be x.

Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.

12 - x will turn into:

x - 12

Hope this helped.

Answer:

x-12

Step-by-step explanation:

Let the variable be x

12 less than x

x-12

Two lines parallel to a third line are parallel to each other. never sometimes always

Answers

Answer:

always

Step-by-step explanation:

they would all have the same gradient & be parallel to each other!

ie. A || B ,   B || C

in this case, A || C ^^

Answer:

always

Step-by-step explanation:

have the same gradient & be parallel to each other

You continue to work on a
paper that you started many days ago. If you work from 8:10pm to 9:35pm, find the
measure of the angle, in radians, that the minute hand travelled during this time.
- 510 degrees
- 180 degrees
- 630 degrees
- 210 degrees

Answers

Answer:

510°

Step-by-step explanation:

Total Time from 8:10pm to 9:35pm is 1hour 25mins= 85mins

Movement of the minute hand from one point around the clock and back to the same point gives a complete rotation of 360°

if 60mins = 360°

85mins=

[tex] \frac{85}{60} \times 360[/tex]

= 510 degrees

Find the value of x.

Answers

Answer:

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ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ

ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ

ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛

ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖

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ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ

ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️

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Step-by-step explanation:

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the ratio of corresponding side of similar triangles is 5:2, then find the ratio of their areas ​

Answers

Answer:

25:4

Step-by-step explanation:

The ratio of the sides is 5:2

The ratio of the areas is the scale factor squares

5^2 : 2^2

25:4

i need help asap!! thank you, your help is really appreciated

Answers

It’s the first one

3(6)-1/2(6)+1

PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER

Answers

ANSWER

9/16

EXPLANATION

9/8 divided by 2/1
=
9 x 1
8 x 2
=
9/16

Find the product (x - 10) ( x - 5)​

Answers

꙰  Hello there mohammedsaquibali45 ! My Name is ⚝Tobie⚝ and I'm glad you asked! Let me walk you step by step in order to comprehend the question better!   ꙰  

i

{x}^{2}-5x-10x+50

x

2

−5x−10x+50

ii Collect like terms.

{x}^{2}+(-5x-10x)+50

x

2

+(−5x−10x)+50

iii Simplify.

{x}^{2}-15x+50

x

2

−15x+50

☆Answer :

(x - 10)(x - 5) = ...

= x^2 + (-10 + (-5))x + (-10•(-5))

= x^2 - 15x + 50

xpower4 minus 16 bracket b minus c whole power 4​

Answers

Answer

6372 - power 4

Step-by-step explanation:

Algebra one need help ASAP

Answers

Answer:

a=6

Step-by-step explanation:

12-2a=3(a-6)

or,12-2a=3a-18

or,12-5a=-18

or,-5a=-30

or,a=6

hope this helps

Look at this cube:

If the side lengths are doubled, then which of the following statements about its surface area will be true?

Answers

9x9 = 81
81x6=486 (old total surface area)

18x18 =324
324x6 = 1944 (new total surface area)

1944 : 486
4 : 1 (new to old)

wo large tanks A and B are each partially filled with 100 gallons of salt water. Initially,80 pounds of salt is dissolved in the solution in tank A, and 30pounds of salt is dissolvedin the solution in tank B. The system is closed so that the wellstirred saline solution ispumped only between tanks A and B. The saline solution in tankA travels to tank Balong a pipe at the rate of 3 gallons per minute, and the salinesolution in B travels totank A at the rate of 2 gallons per minute. Write a system of IVPs that will describe theamount of salt,x1, in tank A at timetand the amount of salt,x2in tank B at timet.

Answers

At the start, it's given that x₁ (0) = 80 lb and x₂ (0) = 30 lb.

The amounts of salt in either tank change according to

dx₁/dt = (2 gal/min) (x₂/(100 - t ) lb/gal) - (3 gal/min) (x₁/(100 + t ) lb/gal)

dx₂/dt = (3 gal/min) (x₁/(100 + t ) lb/gal) - (2 gal/min) (x₂/(100 - t ) lb/gal)

To break this down a bit, consider tank A, for instance:

• solution flows in from B at a rate of 2 gal/min

• the volume of liquid in tank B after t minutes is

100 gal + (2 gal/min - 3 gal/min) (t min) = (100 - t ) gal

because the tank starts with 100 gallons of liquid, and 2 gallons are pumped in while 3 gal are pumped out each minute

• at any time t, the solution in B contains x₂ pounds of salt

• the concentration of the solution in A is then x₂/(100 - t ) lb/gal

• multiplying this by the inflow rate tells you how much salt is moving around each minute

Use the first five terms of the binomial theorem to approximate (-1.4)^8

Answers

Answer:

14.75789056

Step-by-step explanation:

I think so...

The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.

What is the Binomial Theorem?

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

Given expression as (- 1.4)⁸

as a result, if you have raised a negative integer to an even power, the response will be positive.

Eliminating the negative sign.

⇒ (1.4)⁸ = (1+0.4)⁸

⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴

⇒ 1+3.2+4.48+3.584+1.792

14.056

If we used one more term we would get 14.62944

Learn more about the binomial theorem here:

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What digit placed in the blank would make the number 138_ divisible by both 4 and 5

Answers

Answer:

The digit that should be placed in the blank is 0.

Step-by-step explanation:

We are given the four-digit number: 138_

And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.

A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.

Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.

80 is indeed divisible by 4, while 85 is not.

In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.

Just to get points……


Can someone please help me solve this ?

Answers

answer:

-1

here's the explanation below :))

if 2/5 of the sweets in a bag is 60, how
many sweets would represent 1/3

Answers

Answer:

50 Candy

Step-by-step explanation:

We know that 2/5 of the bag is 60 candy. By taking this information we can conclude that 1/5 of the bag is 30 candy. We know that 1/5 of the bag is 30, so 30 times 5 is 150 candy.

Now that we have found out that there is 150 candy total we can know divde 150 by 3 to find out how much candy is in 1/3 of the bag.

150/3 = 50 Candy

1/3 of the bag represent 50 candy.

Is this table a function why or why not?

Answers

Answer:

yes

Step-by-step explanation:

functions have one input for every output.

the input side has unique and individual numbers therefore it's a function.

Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).

THIS IS 60 POINTS BTW

Answers

Answer:

2nd option

Step-by-step explanation:

If f(x) is an even function , then

f(x) = f(- x)

f(x) = x² - x + 8

f(- x) = (- x)² - (- x) + 8 = x² + x + 8

Since f(x) ≠ f(- x) then f(x) is not an even function

Complete the table for the given rule.
Rule: y=\dfrac{x}{2}y=
2
x

y, equals, start fraction, x, divided by, 2, end fraction
xxx yyy
111
2.52.52, point, 5
3.53.53, point, 5

Answers

Using the proportional relationship, it is found that:

When x = 1, y = 0.5.When x = 2.5, y = 1.25.When x = 3.5, y = y = 1.75.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the relationship is given by:

[tex]y = \frac{x}{2}[/tex]

Hence, when x = 1:

[tex]y = \frac{1}{2} = 0.5[/tex]

When x = 2.5:

[tex]y = \frac{2.5}{2} = 1.25[/tex]

When x = 3.5:

[tex]y = \frac{3.5}{2} = 1.75[/tex]

You can learn more about proportional relationships at https://brainly.com/question/10424180

Answer:

x   y

___

12 4

3  1

18 6

Step-by-step explanation:

Pls help












.
Z

Z
Z
Z
Z
Z
Z
Z
A

Answers

Answer:

20.2 feet

Step-by-step explanation:

Using Pythagoras theorem, we have

Height^2+13^2=24^2, height=sqrt(407)=20.2

use the formula v=u+at to find the velocity when the initial velocity is 3m/s2 the time is 7 seconds

Answers

Answer:

Step-by-step explanation:

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and i dont know the answer

Graph the exponential function.
f(x)=3/2(2)^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

[tex] \bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375[/tex]

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