if motorist drove a distance of 90km at constant speed for the first 40km and then drove 30 km/hr faster for the rest of the journey if the journey took him one hour, his average speed for the first 40 km is​

Answers

Answer 1

Answer:

Step-by-step explanation:

The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.

The whole journey took him 1hr.

Let S denotes the average speed (in km/hr) for the first 40 km.

Hence we get the following relation,

40/S + (90 - 40)/(S + 20) = 1

or 50/(S + 20) = 1 - 40/S = (S - 40)/S

or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0

or S = 80 (km/hr) [Ans]

[S cannot be negative value]


Related Questions

Find the value of X in the following 3x+4=25

Answers

The answer is 7

Step-by-step explanation:

subtract 4 from 25 which is 21 than divide by 3 getting x =7

Answer:

x=7

Step-by-step explanation:

3x+4=25

3x=25–4

3x=21

X=21÷3

X=7

A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans

Answers

Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

The number of boxes required to hold 1000 cans is 100 bags.

What is the 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.

Given that, every Monday each student brings in a bag with 10 cans.

They put 10 bags into a box.

So, number of boxes required to hold 1000 cans

= 1000/10

= 100 bags

Therefore, the number of boxes required to hold 1000 cans is 100 bags.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile

Answers

Answer:

117 units

Step-by-step explanation:

HELP pleaseeeeeeeeee

Answers

Answer:

Or is separate

And is together

85% of 540 = 30% of C

Answers

Answer:

C = 1530

Step-by-step explanation:

85% of 540 = 30% of C

0.85 * 540 = 0.3 * C

459/0.3 = 0.3C/0.3

C = 1530

Answer:

c = 1530

Step-by-step explanation:

First, convert the percentages to a decimal.

[tex]85\div100=0.85\\30\div100=0.30[/tex]

In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.

With that, you can write this equation:

[tex]0.85\times540=0.3\times c[/tex]

Now, just solve for c:

[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]

To confirm that:

[tex]0.85\times540=0.30*1530\\459=459[/tex]

What is Integration ?

Answers

Answer:

Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.

Answer:

Integration is the action or process of integrating.

Step-by-step explanation:

Solve the system by substitution
y=-8x -24
y=-4x

Answers

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

fill in the blank to make the fractions equivalent. 1/2 ?/10​

Answers

Answer:

5/10

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10

5/10

Answer:

5

Step-by-step explanation

multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10

10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?

Answers

Answer:

135

Step-by-step explanation:

27 x 5 =135

A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?

Answers

Answer:

$47.50

Step-by-step explanation:

75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50

I need help please! It’s due tonight and I don’t know.

Answers

Answer:

i think the first question is yes and the second one is no

Step-by-step explanation:

the total of this is 297197401415÷842035

Answers

Answer:

Approximately 352,951.36

Answer:

Step-by-step explanation:

= 297197401415+842035

= 297198243450

=297197401415/842035

=352951.363

Solve for x

x+0.15x=3.45

Answers

Answer:

thanks for the points new comer you will get use to it

every summand of an expression is called a???

Answers

Answer:

I think it's called a term.

Hope this helps :)

Please see screenshot.
Could someone help?

Answers

Answer:

56/100

Step-by-step explanation:

The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.

Answer: 51/90

First set x equal to the decimal (we will solve for x):
x = 0.5666666666...

Now find 10x (we want to get the recurring digit right after the decimal point):
10x = 5.66666666666...

Next we can subtract x from 10x:
9x = 5.1

We can now get x by dividing both sides by 9:
x = 5.1/9

We can’t have a decimal in a fraction so we can multiply the top and bottom numbers by 10:
x = 51/90

Hope this helps!

Type the missing digit in this number
7,587_64 is divisible by 8.

Answers

0! 7587064 is divisible by 8

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?

f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x

Answers

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.

Answers

Step-by-step explanation:

(a○b)(x) is the same as a(b(x)).

it is really that simple.

first you calculate the result of the inner function, and then that result is the input for the outer function.

that's it.

so,

(w○u)(2) = w(u(2))

u(2) = -2 -1 = -3

w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19

so, 19 is the first answer.

(u○w)(2) = u(w(2))

w(2) = 2×2² + 1 = 2×4 + 1 = 9

u(9) = -9 - 1 = -10

so, -10 is the second answer.


Can somebody please help me and tell me how did you get the answer please thank you!!!

Answers

Answer:

10

Step-by-step explanation:

(6x-5)+(12x+5)=180

18x=180

x=10


[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly​

Answers

Their is not picture please upload one

6 * 2 /( -1)4* 5-(8+3)

Answers

Answer:

−251

Step-by-step explanation:

Answer:

6 x 2 / (-1) x 5 - (8 + 3)

6 x 2 / (-1) x 5 - 11

12 / -1 x 5 - 11

-12 x 5 -11

-60 - 11

-71

Step-by-step explanation:

hope this helped if not then i am sorry good luck

PLEASE HELP ME FAST IF YOU CAN

Answers

Answer:

1. 180°

2. m∠AOB

3. 60° + 90 ° + 30 ° = 180 °

4. x = 15

Step-by-step explanation:

Reason for number 1:

All straight lines are 180°

Reason for number 2:

These angles all add up to 180° and the line with this angle is m∠AOB.

Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST

Answers

Answer:

83.3

Step-by-step explanation:

Alright so

She can write 500 words per hour

An hour is 60 minutes

500 divided by 6 (because 6x10= 60)

so you get est. 83 words per 10 mins.

To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)

1/2(12w+8)-1/8(10w-5) This confuses me very much pls help

Answers

Answer:

3 8 + 3 7  divided by 8

Step-by-step explanation:

hidden valley motel 32 feet long

Answers

Did you forget to put in the rest of the question?

write 28 + 24 as a product of two factors using the greatest common factor and the distributive property

Answers

Answer:

4 * 13

Step-by-step explanation:

Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.

Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?

b) Find the fraction of the watermelon that remains.

Answers

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

If 5mi ≈ 8km, how many miles would be equal to 50 km

Answers

Answer:

Too tired to go into detail so I just showed steps

Step-by-step explanation:

5mi = 8km ~~ Original

5/8mi = 1km ~~ Get 1km isolated

250/8mi = 50km ~~ Get 50km now

Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51

Answers

[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]

PLS HELP AMSWER ANYONE PLS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

5. w ≠ 8

Step-by-step explanation:

#1 is the expression for "The amount of water is greater than eight ounces."  This technically means it differs from eight ounces, but it's too specific for what the question is asking.

#2 is the expression for "The amount of water is greater than or equal to eight ounces." It doesn't necessarily differ from eight ounces.

#3 is the expression for "The amount of water is less than eight ounces."  Same issue as #1.

#4 is the expression for "The amount of water is greater than eight ounces."  Same issue as #2.

#5 is the expression for "The amount of water is not equal to eight ounces." This is the correct expression as the only information we know is that it's not eight ounces.

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