A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused

Answer:

for the first answer : 36

for the second answer : 1 year and 3 months

Step-by-step explanation:

first answer :

ahe gets kicked out 2 times in 20 mins

6 hours = 6 × 60 mins = 360 mins

let the number of times she gets kicked out in 6 hours / 360 mins be "n"

therefore ;

n= (360×2) ÷ 20 = 36

therefore answer is 36 times.

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second answer :

3 new tapes in 1 month

let the number of years be "n"

therefore:

3×12 = tapes per year = 36 tapes per year

so, n = 45÷36 = 1 (as quotient) year and 3 (as remainder) months.

answer : 1 year and 3 months

Answer:

D

Step-by-step explanation:

(f-g)(x) = 3ˣ  + 10x - (5x - 3)

          = 3ˣ + 10x - 5x  + 3    {Combine like terms}  

          = 3ˣ + 5x + 3

Answer:

d

Step-by-step explanation:

Hey there!

“(5z – 4) – 5(–3z – 6)”

DISTRIBUTE the RIGHT side of your equation

5z – 4 –5(–3z) + (–5)(–6)

–5(–3) = 15z

(–5)(–6) = 30

NEW EQUATION: 5z – 4 + 15z + 30

COMBINE your LIKE TERMS

(5z + 15z) + (4 + 30)

5z + 15z = 20z

4 + 30 = 34

ANSWER: 20z + 34 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

20z + 34

Step-by-step explanation:

Answer:

Discriminant = -92

the equation has no distinct real numbers

Step-by-step explanation:

Given the function f(x) = 4x^2 + 2x + 6 where;

a = 4, b = 2 and c= 6

The discriminant is expessed as D = b^2 - 4ac

Substitute;

D = 2^2 - 4(4)(6)

D = 4 - 96

D = -92

Hence the discriminant is -92.

Since the discriminant is less than zero i.e D< 0, this shows that the zeros of the equation are not real but complex numbers. Hence, the equation has no distinct real numbers

Answer:

-92 is the discriminant

0 real value 0's

Step-by-step explanation:

Answer:

67.4°

Step-by-step explanation:

Tan b = 2.4

From the above question we are asked to find angle b

This is calculated below

b = arc tan 2.4

b = 67.380135052°

Approximately

Angle b = 67.4°

Answer:

16, 8, 23

Step-by-step explanation:

2x+x+x+15=47

4x+15=47

4x=32

x=8

2x=16

x+15=23

The length of the gold wire that is 15 metres in millimetres is 15000 mm

The scientist is working with 15 metres of gold wire.

The wire is in metres.

Therefore, let's convert it millimetres.

1 m = 1000 mm

15 m = ?

cross multiply

length(mm) = 15 × 1000

length(mm) = 15000 mm

learn more on length here: https://brainly.com/question/308075

#SPJ2

Answer:

208

Step-by-step explanation:

169/65%=260= the original number

260 x 80% = 208

Answer:

208 is 80% of that number

Step-by-step explanation:

to find the number, take 65/100 (or 65%), and set it equal to 169/x (because x is the number that 169 is 65% of, so we need to find x)=> 65/100=169/x

Next, cross multiply to get 16900=65x

Divide both sides of the equation by 65 to get 260=x, which means that 260 is the mystery number that the question speaks of. Then, to get 80% of 260, set 80/100 equal to x/260=> 80/100=x/260

cross multiply to get 20800=100x

divide both sides by 100 to get 208

Therefore, the answer is 208

Answer:

No they don't.

Step-by-step explanation:

I did 14 x 10. Since it's 14 per gallon and they have 10. I got 140. 140 is not enough for the trip. They need 145.

Answer:

6.0

Step-by-step explanation:

common sense

Step-by-step explanation:

f(2)=18-2=16

f(3)=16-2=14

f(4)=14-2=12

Then,

f(5)=12-2=10

the answer is 10

Answer:y=2x

Step-by-step explanation:

simple math if im not right just text me

Answer: 90

Step-by-step explanation:

90 / 3 = 30

90 / 5 = 14

90 / 10 = 9

Therefore, 90 is between 67 and 113. It is also a multiple of 3, 5, and 10.

Answer:

-1.75, -1 1/2, -3/4, 1/4, 0.75

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

1

Step-by-step explanation:

1

Step-by-step explanation:

1000% of 99 = 10 * 99 = 990.

9514 1404 393

Answer:

  Marion is 24, Judy is 12

Step-by-step explanation:

Let j represent Judy's age now. 6 year ago, the relation was ...

  3(j -6) = (2j) -6

  3j -18 = 2j -6 . . . . . eliminate parentheses

  j = 12 . . . . . . . . . . . add 18-2j

  2j = 24 . . . . . . . . . Marion's age now

Judy is 12; Marion is 24.

Answer:

80 cents per cd

Step-by-step explanation:

when finding that answer you divide 12/15 which equals .8

Answer:

i do believe that its y<x-3

Step-by-step explanation:

Answer:

its the last one

Step-by-step explanation:

469 x 3/5 = 281 2/5

the answer is the last one.

you convert to point slope form and get

y = 4x - 5

when you graph that (along with the other equations) it is the only one that passes through the point (1,-1)

Answer:

An equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

Step-by-step explanation:

Given the sequence

2,5,8,11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

here

computing the differences of all the adjacent terms

Using the nth term formula

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 2, d = 3

[tex]a_n=2+\left(n-1\right)3[/tex]

     [tex]=2+3n-3[/tex]

     [tex]=3n-1[/tex]

Thus, an equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

Answer:

Frequency = 8 Hz ; Period = 0.125 s

Step-by-step explanation:

The amplitude of a wave is simply regarded as the maximum displacement experienced by a vibrating both from its equlibrum position.

The Displacement marked A in th picture is tbe Amplitude of the wave

The wavelength refers to the a complete cycle moved by a wave, that is the distance from a crest to another (maximum upward Displacement) or a trough to another (maximum downward Displacement).

2.)

Given that :

Velocity (V) of wave = 20 m/s

Wavelength (λ) = 2.5 m

The frequency (f) of the wave ;

f = v /λ

f = (20 m/s) ÷ 2.5m

f = 8 Hz

The period T of the wave :

T = 1 /f

T = 1 / 8

T = 0.125 seconds

Answer:

The answer is D) f(x) = 1/3 x^2 -1

Step-by-step explanation:

the key is at the end, the minus 1

Answer:

The answer is D!

Step-by-step explanation:

Answer:

The given equation will have two roots as +5i and -5i

Step-by-step explanation:

Shasta claimed that the equation x^2+25=0 can be solved by using its factored form of (x+5i)^2=0, and that -5i is the only zero for this function

The given equation is [tex]x^2+25 =0[/tex]

This clearly shows it will have complex roots, and since it is a quadratic equation it will have 2 complex roots

[tex]x^2 = -25 \\x = \sqrt{-25} \\x= \sqrt{-1}* \sqrt{25}\\[/tex]

[tex]x = i\sqrt{25}[/tex]

x = ± 5i

It will be false to say that -5i will be the only complex root to this equation.

The given equation will have +5i and -5i as its roots.

Lets verify

x = +5i

[tex](5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25\\-25 + 25 = 0[/tex]

x = -5i

[tex](-5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25 \\-25 + 25 \\ = 0[/tex]

Answer:

= − 7 /1 1  in fraction form

Step-by-step explanation:

STEP 1: Multiply by 1

1 + 1 0 + 2 5 = 1 8

+ 1 0 + 2 5 = 1 8                                                                                                                               STEP 2: Combine like terms

+ 1 0 + 2 5 = 1 8

1 1 + 2 5 = 1 8                                                                                                                       STEP 3: Subtract  2 5   from both sides of the equation

11x+25=18

1 1 + 2 5 − 2 5 = 1 8 − 2 5

STEP 4: Simplify  by subtracting the numbers

1 1 + 2 5 − 2 5 = 1 8 − 2 5

11x+25−25=18−25                                                                                                   1 1 = 1 8 − 2 5                                                                                                                                   1 1 =  -7

STEP 5: Divide both sides of the equation by the same term                                                     1 1 = − 7                                                                                                                         11x/ 11x = −7/ 1 1 (set up as a fraction)                                                                       STEP 6: Cancel terms that are in both the numerator and denominator

=  − 7 /1 1                                                                                                                      SOLUTION

=  − 7 /1 1

Answer:

This is the correct solution for your question

Answer:

$31.50

Step-by-step explanation:

the decrease will be $13.50

Answer:

C

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]\sqrt{125}[/tex] is equal to 5[tex]\sqrt{5}[/tex]

Since it is [tex]\sqrt{-125}[/tex], then you must have i as well

5i[tex]\sqrt{5}[/tex]

please give a heart to give thanks :)

a crown would be nice too :)