the sum of the first three terms of a sequence Is 42 The fourth term is 24. find u1 and the common difference

Answer:

i think it is 4

Step-by-step explanation:

Ram started his journey at 6:00 AM with an average speed at 20km/hr.

Hari started his journey two hours later (at 8:00 AM) with an average speed of 30km/hr.

We have to find time at which they meet each other[tex].[/tex]

★ Let they meet each other after t hours wrt 6:00 AM.

At that time, distance covered by ram must be equal to the distance covered by hari.

We know that,

➤ Distance covered by Ram :

⭆ d₁ = v₁ × t

⭆ d₁ = 20 × t

➤ Distance covered by Hari :

Since hari started his journey after 2 hours so will take time = (t - 2) hours

⭆ d₂ = v₂ × (t - 2)

⭆ d₂ = 30 × (t - 2)

⭆ d₂ = 30t - 60

Now,

➠ d₁ = d₂

➠ 20t = 30t - 60

➠ 30t - 20t = 60

➠ 10t = 60

➠ t = 6 hrs

∴ They will meet at (6 + t) = 12PM

Answer:  12:00 pm  (Noon)

Step-by-step explanation:

Let t represent the time (in hours) from 6:00 am

Use distance (d) = rate (r) × time (t)

Ram: time = t,      r = 20     →      d = 20t

Hari: time = t - 2, r = 30    →       d = 30(t - 2)

Use Substitution method to solve the system of equations:

20t = 30(t - 2)

20t = 30t - 60

-10t = -60

    t = 6

They travel the same distance when Ram rides his bike for 6 hours

and Hari rides his bike for 4 hours.

Ram: 6:00 am + 6 hours = 12:00 pm (Noon)

Hari: 8:00 am + 4 hours = 12:00 pm (Noon)    [tex]\checkmark[/tex]

Answer:

11. 2

12. 5

13. -4

14. 2

15. 1

16. not sure maybe 0

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

LV is half of XV so basically 38 divided by 2

[tex]D=b^2-4ac\\D=3^2-4(6)(-4)\\D=9+96\\D=105[/tex]

Answer:

negative

Step-by-step explanation:

Suppose we have positive integer x and negative integer -y.

Subtracting x from -y gives:

-y - x

Clearly, if -y is negative and we're subtracting even more (x) from it, the answer will still be negative.

So, the sign is negative.

~ an aesthetics lover

Answer:

negative

Step-by-step explanation:

Suppose we have positive integer x and negative integer -y.

Subtracting x from -y gives:

-y - x

Clearly, if -y is negative and we're subtracting even more (x) from it, the answer will still be negative.

So, the sign is negative.

~ an aesthetics lover

Answer:

math is hard

Step-by-step explanation:

life is hard

no one is smart.

Answer:

300$

Step-by-step explanation:

If he save 10 for every 50, you  just divide. 60/10 = 6. He saved 6 times, if each time he saves he has 50 extra dollars, 6 * 50 = 300 because 6*5 = 30 and there is a extra 0 so 30 and 0 is 300

Answer:

Step-by-step explanation:

Simplify

Answer:

Step-by-step explanation:

9(2x + 1) - 2(3 - x)  -----expand

9(2x) + 9(1)  -  2(3) - 2(-x)

18x + 9 - 6 + 2x ------ combine similar

20x + 3

Answer:

Laurie

Step-by-step explanation:

Answer:

It would be a 3/4 chance that he will pull the right 4 coins.

Step-by-step explanation:

The probability that the first 3 coins are equal to $0.40 will be 1/4

Simon needs to pull out the penny last so that the first three coins add up to $0.40. We assume the coins are wrapped so it is a random choice.

For the first coin, the probability of not pulling a penny is 3/4, similarly, for the second coin, the probability of not pulling a penny is 2/3,

For the third coin, the probability of not pulling a penny is 1/2,

P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ9

Answer:

c. 4

Step-by-step explanation:

4/8=1/2 so she would need 4 of the 1/8 cups

Answer:

Answer attached in photo

Step-by-step explanation:

first place a point on the y-intercept, which is -7

increase the Y by 4 and X by 3 and start graphing from there.

Answer:

Step-by-explanation:

The correct answer isn’t a choice, not to mention all of those options are in meters squared....which would make those windows massive, larger than the square footage of most houses.

Answer:

Step-by-step explanation:

Plz mark as brainliest

Answer:

0.9 is the answer

Step-by-step explanation:

Divide 8 by 2 then 1 by 2.

DO NOT forget the decimal

answer is

0.9

Answer:

833/10000 fraction 83.3 percentage

Step-by-step explanation:

Answer:

$2 dollars and 50c

Step-by-step explanation:

124 + 4 equals 128 and 320 divided by 128 is 2.5, so 2 dollars and 50 cents.

Answer:

[tex]g^{-1}[/tex] (x) = [tex]\frac{x+11}{4}[/tex]

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

[tex]\frac{y+11}{4}[/tex] = x

Change y back into terms of x , with x = [tex]g^{-1}[/tex] (x) , thus

[tex]g^{-1}[/tex](x) = [tex]\frac{x+11}{4}[/tex]

Answer:

x=33

Step-by-step explanation:

The angles would need to add to 180 to be supplementary

4x+ x+15 = 180

Combine like terms

5x+15 = 180

Subtract 15 from each side

5x+15-15 =180-15

5x = 165

Divide by 5

5x/5 =165/5

x=33

Step-by-step explanation:

Unit Rate: A ratio that compares units of one quantity to another unit of quantity.

Example: 6:9, 6 cookies for every 9 guests.

I hope you understood! :)

Answer:

Y=4-x/2

Step-by-step explanation:

Answer: C) y= 6 - x/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-3x+5

-3 X -5 +5

15+5=20

Answer:

X is equal to -10

Step-by-step explanation:

#1. Multiply 6 to (1+x). Doing this makes this equation: 6+6x+x=-14

#2. Then add 6x and x to get: 7x+6=-14

#3. Then move 6 to other side of equation, while at the same time, changing it's absolute value: 7x=-14-6

#4. now you have: 7x=-20, now just divide 7 by -20 WooHoo! You finished it! you have: -2.85714285714 or 2 and 43/50.

Answer:

x=[tex]-2\frac{6}{7}[/tex]

Step-by-step explanation:

6(1+x)+x=-14

6+6x+x=-14

7x+6=-14

7x=-20

x=-2[tex]\frac{6}{7}[/tex]

Answer:

12.3 degrees

Step-by-step explanation:

-3.1 degrees + 15.4 degrees = 12.3 degrees

Answer:

8,702.5

Step-by-step explanation:

Multiply like you normal would. See that there is one decimal place behind the decimal point. Put the decimal there and, BOOM! You have your answer.

Pls give me Brainly points!! :)

Answer:b. approach-avoidance conflict

Step-by-step explanation:

Answer:

n = 8

Step-by-step explanation:

Using the rule of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

note that 4 = 2² , thus

[tex](2^{2}) ^{4}[/tex] = [tex]2^{n}[/tex] , that is

[tex]2^{8}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents

n = 8

Answer:

your answer is B

Step-by-step explanation:

Answer:

Usando la prueba de la recta vertical

Cuando la cantidad independiente (entrada) y la cantidad dependiente (salida) son números reales, una función puede representarse por una gráfica en el plano de coordenadas. El valor independiente se grafíca en el eje x y el valor de pendiente se grafíca en el eje y.

Step-by-step explanation:

Answer:

y = 0x +3 or just y = 3

Step-by-step explanation:

m= 3-3/-6-4

= 0/-10 = 0

3= 0(4) +b

3=b

Answer:

y=3

Step-by-step explanation: