if 22,x,y,31 are in ap. find the values of x and y​

Answers

Answer 1

Answer:

x = 25, y = 28

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 22 and

a₄ = a₁ + 3d = 31 , that is

22 + 3d = 31 ( subtract 22 from both sides )

3d = 9 ( divide both sides by 3 )

d = 3

Thus

x = 22 + 3 = 25

y = 25 + 3 = 28


Related Questions

Victor is making recipes for smoothies. His first recipe calls for 2 cups of strawberries and 7 cups of other ingredients. His second recipe says that 3 cups of strawberries are combined with 9 cups of other ingredients. Which smoothie recipe has more strawberries compared to other ingredients?

Answers

Answer:

The second smoothie recipe has more strawberries compared to other ingredients

Step-by-step explanation:

Recipe 1:

2 cups of strawberries : 7 cups of other ingredients

= 2/7

= 0.29

Recipe 2:

3 cups of strawberries : 9 cups of other ingredients.

= 3/9

= 1/3

= 0.33

The second smoothie recipe has more strawberries compared to other ingredients

Rusty is training for a triathlon. He runs 4miles for every 9 miles he bikes. At the end of his training, he has run o total of 92 miles. How many total miles did he bike?

Answers

Answer:

Rusty bikes for 207 miles

Step-by-step explanation:

Because 23 times 4 gives you 92 so you have to also multipy 9 by 23 gives you 207 miles. So Rusty biked for 207 miles. Hoped this helped.

Answer:

207

Step-by-step explanation:

Name the property that the statement illustrates.

Answers

Answer:

Symmetric property of angle congruence

symmetric property of angle congruence

Eric is trying to save $37 to buy a gift for his mother. Right now he has $5. He can save $10 a week from mowing lawns and $5 a week from his allowance. What is the least number of weeks that Eric will need to save to have enough money for the gift?

Answers

Answer:

3 weeks. 5+10=15

because in 2 weeks he will have 30 dollars plus the 5 dollars he already has is 35 dollars but, that is not enough he needs one more week.

value of 3b^2 - 5c^3 if b = 2 and c = -1​

Answers

Answer:

17

Step-by-step explanation:

3(2)^2 - 5(-1)^3

3(4) - 5(-1)

12 + 5

17

Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps I’ll give brainliest

Answers

Answer:-6.6, 4.45, 5.8, 6 3/4

Step-by-step explanation:

simply the following 2m⁵×5m³×7m²​

Answers

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

−3(k+7)>−57 please help and solve

Answers

Answer:

k>12

Step-by-step explanation:

distribute -3 into the parenthesis

-3k-21>-57

add 21 on both sides

-3k>-36

divide both sides by -3

k>12

HOPE THIS HELPS!!!

Answer:

k < 12

Hope this helps!

they only said simplify and i guessed the answer as undefined

Answers

I think it is B but I’m not sure

i need help with this

Answers

Answer:

1. -9

2. -2

3. -3

4. 2 (positive)

Step-by-step explanation:

positive + negative= positive

negative + positive =negative

positive +positive =positive

negative +negative =negative

hope you like it ( ' - ' )

What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.

Answers

Answer:

13.9

Step-by-step explanation:

Speed=distance/time

S=75,000/5,400

S=13.8 repeating OR (rounded) 13.9 m/s

HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Explanation, cone with it's height to the value.

30 tens – 3 tens 3 tenths

Answers

Answer:

Step-by-step explanation:

30 tens is 30*10=300. 3 tens is 3*10=30 and 3 tenths is 3*0.1. So assuming you mean 30 tens minus 3 tens and 3 tenths, the answer would be 300-30.3 which would equal 269.7

HELP PLEASE!!! Show how you got the answer as well!

Answers

Answer:

2 ans is 7 2x_4+2x_7=17

A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?

Answers

Answer:

Maximum number of chairs is 7.

Step-by-step explanation:

We are told he has less than 120 minutes to spend painting furniture each day.

Now he has spent 30.5 minutes painting a desk.

Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.

Thus, we have;

30.5 + 12.5x < 120

Subtract 30.5 from both sides to get;

12.5x < 120 - 30.5

12.5x < 89.5

x < 89.5/12.5

x < 7.16

Thus, maximum number of chairs he can paint is 7

Select all expressions that are equivalent to 6x+1−(3x−1). A. 6x+(-3x)+1+1 B. 3x+2 C. 6x−3x+1−1 D. 6x+1−3x−1 E. 6x+1+(-3x)−(-1)

Answers

Answer:

B. 3x+2

Step-by-step explanation:

During a training mission, a battleship was ordered to find a submarine submerged at a depth of 1,220 feet and a fighter jet flying 1,150 feet in the air. On a number line, let 0 represent the battleship’s location, at sea level, with higher elevation on the positive side of 0.

Which number sentence correctly compares the absolute values of the elevations of the submarine and the fighter jet?
A. |-1,220| > |1,150|
B. |-1,220| < |1,150|
C. |1,220| < |-1,150|
D. |1,220| = |-1,150|

Answers

Answer:

B

Step-by-step explanation:

-1220 is negative lower than 0 and 1150 is higher than zero.

Find the inverse of f(x) = 3x + 7

Answers

Answer:

g(x)=(x-7)/3

Step-by-step explanation:

Answer:

The answer would be  [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse

Step-by-step explanation:

Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​

Answers

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

one - fifth of first;

             [tex]\frac{1}{5}[/tex]x

  one - ninth of the second;

            [tex]\frac{1}{9}[/tex](x + 1)

for the "less" ;

         [tex]\frac{1}{5}[/tex]x -  [tex]\frac{1}{9}[/tex](x + 1) = 3

Multiply through by 45

       45([tex]\frac{1}{5}[/tex]x) - (45) [tex]\frac{1}{9}[/tex](x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

IF f(x) = -3x – 2; FIND f(3)

Answers

Step-by-step explanation:

f(3) = -3(3)-2

=-9-2

=-11

Se reparten 7/9 de pizza entre 4 niños. ¿Que fracción de la pizza le toca a cada uno?​

Answers

Putang ina mo gago ka

The quadratic function that approximates the height of a javelin throw is h(t) = -0.08t2 +4.48, where t is the time in seconds after it is thrown and h is the javelin's height in feet. How long will it take for the javelin to hit the ground?​

Answers

I believe the answer is .21345

The point (3,5) has been translated three right and three down. What are
the coordinates of the image?

Answers

Answer:

If you mean the coordinates of the point, then its coordinates will be (6,2)

Step-by-step explanation:

Add 3 to your x-value (3 right), and subtract 3 from your y-value (3 down). You will then get (6,2). Hope this helped :D

The coordinate of the new point will be (6, 2).

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

Point (3,5) has been translated as three right and three down.

Add 3 in the abscissa and subtract 3 from the ordinate. Then the transformation is given as,

(x, y) ⇒ (3 + 3, 5 - 3)

(x, y) ⇒ (6, 2)

The coordinate of the new point will be (6, 2).

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

NEED HELP ASAP WILL GIVE BRAINLYEST What is the value of this expression? (−7)(−2)+(−15÷3) Enter your answer in the box.

Answers

Answer:

9

Step-by-step explanation:

What is the y-intercept if the line?
A. 0
B. -2
C. 1
D. 1/2

Answers

Answer:

A.

Step-by-step explanation:

The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. ... A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).

A the y intercept always starts with 0

A number that is at most 30 as an inequality

Answers

Answer:

n  ⩽ 30

Step-by-step explanation:

Solve for x.
21 + 3x = -15

Answers

The answer to this question is x=-12

Answer:

21+3x=-15

-21 -21

3x=-36

÷3 ÷3

x=-12

x=-12

when 3+3x-5-8x is simplified, the result is?

Answers

Answer:

−5x−2

Step-by-step explanation:

Simplify 72+3w2 - 29w-61w2 + 23w - 42.

Answers

the answer is 30-122w
Answer:

30-122w

Explanation:

All you have to do is: Subtract the numbers and Collect the like terms.
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