Mathematics College

the sum of 5 consecutive integers is 110. what is the fourth number in the sequence

Answers

Answer 1
Let's divide 110 by 5, that equals 22. That is our middle number. Now, we will use the 2 numbers below that (22.) and the 2 numbers above that. 
20+21+22+23+24= 110.
So, the 4th number is 23.

Related Questions

What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?

Answers

by calculating the slope, the average rate of change is -2
-1-11
---------
1--5

Answer:-2

Step-by-step explanation:

A Pitcher of fruit punch holds 2 gallons , If 9 people share the entire pitcher equally how much punch does ecah person get

Answers

You would do 2 divided by 9 to get that each person would have 2/9 of a gallon or .22 of a gallon. I hope this helps.

write an equation of the line given its slope,m=3,and it's y-intercept b=10

Answers

y = mx + b

plug in m and b

y = (3)x + (10)

hope this helps

Name the property the equation illustrates.

8.2 + (–8.2) = 0

Answers

The Inverse Property of Addition

Answer:

The name of the property the equation illustrates is the Inverse Property of Addition.

Step-by-step explanation:

The Inverse Property of Addition says that if you add a number to the negative version of itself, the numbers will cancel out and the result will be 0. In other words, if you add 8.2 + (–8.2), the answer will always be 0.

callie spent 3/4 hour on a science report and 1/3 hour on a social studies report. What fraction of an hour longer did she spend on the science report ?

Answers

3/4+1/3=9/12+4/12=13/12  of an hour

13/12= 1 1/12

A hollow ball is made of rubber that is 1 centimeter thick. The ball has a radius of 5 centimeters at the outside surface.

What is the approximate volume of rubber used to make the ball?

Answers

Given that the ball has a thickness of 1 cm and the radius at the outside is 5 cm, thus the radius from inside is 5 - 1 = 4cm.

The approximate volume of rubber used to make the ball is given by the volume of the ball at the outside surface minus the volume of the ball at the inside surface.

i.e.

[tex]Volume\ of\ rubber= \frac{4}{3} \pi\left(5^3-4^3\right) \\ \\ = \frac{4}{3} \pi(61)= \frac{244}{3} \pi\approx255.5\ cm^3[/tex]

Answer: I got the same answer. It's 255.4 cm3

Step-by-step explanation:

A high school basketball team scores 85 points in a playoff game. The team leaders are Greg and Tremaine who scored a total of 38 points. If Tremaine scored 8 more points than Greg, how many points did Greg and Tremaine score individually?

Answers

greg scored 15 and Tremaine scored 23

Answer:

Total Points scored by  team leaders are Greg and Tremaine=38 points

Let Points scored by Greg =x points

Then , Points scored by Tremaine =(x+8) points

So, writing the condition in equality form

   x +x+8=38

2 x =38-8

2 x=30

Dividing both sides by ,2

x=15

Points scored by Greg =15 points

Then , Points scored by Tremaine =(15+8)=23 points

What is the measure of the smallest angle?



52°
61°
67°
69°

Answers

52 Degrees is the smallest measure :)

Answer:

52° is ur answer

Step-by-step explanation:

I just did the quiz so i know

You are standing above the point (5,4)(5,4) on the surface z=15−(2x2+3y2)z=15−(2x2+3y2). (a) in which direction should you walk to descend fastest? (give your answer as a unit 2-vector.)

Answers

The direction you'll walk to descend fastest is obtained as follows:

[tex]u= \frac{-\nabla z(5,\ 4)}{||\nabla f(5,\ 4)||} \\ \\ = \frac{-\ \textless \ -4x,\ -6y\ \textgreater \ |_{(5,\ 4)}}{||\ \textless \ -4x,\ -6x\ \textgreater \ ||_{(5,\ 4)}} \\ \\ = \frac{\ \textless \ 20,\ 24\ \textgreater \ }{\sqrt{(-20)^2+(-24)^2}} = \frac{\ \textless \ 20,\ 24\ \textgreater \ }{\sqrt{400+576}} \\ \\ = \frac{\ \textless \ 20,\ 24\ \textgreater \ }{\sqrt{976}} = \frac{\ \textless \ 20,\ 24\ \textgreater \ }{4\sqrt{61}} = \frac{\ \textless \ 5,\ 6\ \textgreater \ }{\sqrt{61}} [/tex]
Final answer:

To descend fastest from the point (5,4) on the surface z=15-(2x^2+3y^2), you should walk in the direction of the negative gradient vector, normalized to be a unit vector, which is approximately <0.640, 0.768>.

Explanation:

To determine the direction in which you should walk to descend fastest from the point (5,4) on the surface z=15-(2x^2+3y^2), we can find the gradient of the surface at that point. The gradient vector will point in the direction of the steepest ascent, so the direction of the steepest descent is the opposite direction of the gradient vector.

First, calculate the partial derivatives of z with respect to x and y:
∂z/∂x = -4x
∂z/∂y = -6y
Next, evaluate these derivatives at the point (5,4):
∂z/∂x(5,4) = -4(5) = -20
∂z/∂y(5,4) = -6(4) = -24
The gradient vector at (5,4) is <-20, -24>. To get the direction of steepest descent, we take the negative of the gradient vector, which is <20, 24>.

Finally, normalize this vector to make it a unit vector (so it has a length of 1):
Length of gradient vector = √(20^2 + 24^2) = √(400 + 576) = √976 ≈ 31.24
The unit vector in the direction of steepest descent is <20/31.24, 24/31.24> ≈ <0.640, 0.768>.

Learn more about Gradient and Direction of Descent here:

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he average distance between Jupiter and the sun is 7.8 × 108 kilometers, and the average distance between the sun and Neptune is 4.51 × 109 kilometers. What is the approximate difference between these average distances?

Answers

Final answer:

The approximate difference between the average distances from the Sun to Jupiter and from the Sun to Neptune is approximately [tex]-3.71 * 10^9 km.[/tex]

Explanation:

The approximate difference between the average distances from the Sun to Jupiter and from the Sun to Neptune can be found by subtracting the average distance to Neptune from the average distance to Jupiter.

Average distance to Jupiter: 7.8 × 108 km

Average distance to Neptune: 4.51 × 109 km

Subtract the average distance to Neptune from the average distance to Jupiter:

[tex]= 7.8 * 10^8 km - 4.51 * 10^9 km[/tex]

= [tex]-3.71 * 10^9[/tex]

The approximate difference between the average distances is [tex]-3.71 * 10^9 km.[/tex]

On st. Patrick's day, 3/5 of the students in Ms. pikes band class are wearing green . If there are 60 students in her class , how many of them are wearing green?

Answers

36 students I believe is the answer
60 divided by 5 = 12
12 x 3 = 36

The answer is 36 

Hope this helps!

What value of n makes the equation true?



0.7n+0.8n=2.1



n=3.60
n=3.15
n=1.40
n=0.60

Answers

n=1.40 :)

hope that helped
the value of n that will make the equation true is n=1.40

What's the radius of a circle with an area of 123 square feet? A. 6.26 ft. B. 39.17 ft. C. 26.32 ft. D. 3.14 ft.

Answers

the correct answer is A) 6.26

1.A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?

A.On the graph, there is exactly one point (x,y) that satisfies both equations.


B.On the graph, any point (x,y) that satisfies one of the equations cannot satisfy the other equation.


C.On the graph, there are no points (x,y) that satisfy both equations.


D.On the graph, any point (x,y) that satisfies one of the equations must also satisfy the other equation.

2.Mark drank a total of 10 glasses of water and iced tea yesterday.

Each glass of water contained 8 ounces. Each glass of iced tea contained 12 ounces.

All together, he drank 96 ounces. The system of equations below models this situation.

x + y = 10
8 x + 12 y = 96

How many glasses of water did Mark drink yesterday?

A.3 glasses


B.4 glasses


C.5 glasses


D.6 glasses

Answers

You dint know what going to tell me Abe's and you can tell that she's hitting in the shower now I know I will ince and but 7. C is the answer

Mark drank 6 classes of water. :) im probably late on answering this, sorry

Rachel and Sabrina belong to different local gyms. Rachel pays $35 per month and a one-time registration fee of $15. Sabrina pays only $25 a month with a one-time registration fee of $75. Write an equation to represent Rachel's total cost, T, as a function of the number of months, m.

Answers

I believe it would be:
T= 35m+ 15

there is a 20% markup on a tv if the tv is $450 before the markup what is the cost after the markup

Answers

Hello!
If the markup is 20% you would multiply $450 by .20 to get $90. Then you add $90 to $450

Here's a simpler version...
$450x.20=$90
$450+$90=$540

The answer would equal $540.

Hope this helped!
The answer is 540 multiply 20 by 450 then divide by 100 and add 90

The number of Adult tickets is the same as the number of Child (age 5-12) tickets. A total of 38 tickets was purchased. What is the total cost of the tickets? Explain.


Data: Adult Tickets $23
Child Tickets $17
Under 5 $8

Answers

A+C = 38
A=C=19
A*19 +C*17 = cost
19*19+19*17=684

What are the answers for both drop downs the first one is asking for 3.113 and the second is asking for 1.2795

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases}\\\\ -------------------------------\\\\ P(x)=3.113(1.2795)^x\implies \stackrel{A}{P(x)}=\stackrel{I}{3.113}(1+\stackrel{r}{0.2795})^{\stackrel{t}{x}}[/tex]

usually, the "r" above, is used as a "rate of increase".

but 1+r combined, can be referred as the "rate for the new size".

so, for example, if something is increasing at a rate of 25%, 1+0.25 or 1.25, the new size wil be 1.25 or 125% of the old size.

Triangle CAT is translated using the rule (x,y)→(x−3, y+4) to create triangle C'A'T'. If a line segment is drawn from point C to point C' and from point A to point A', which statement would best describe the line segments drawn?

Answers

they are parallel and congruent

The answer is: Parallel and congruent.

what is 4 1/2 divided by 3

Answers

You divide 4.5 by 3. The answer is 1.5.

What is the factored form of 6x2 + 11x – 10? (2x + )( x – )

Answers

Answer:

[tex]6x^2+11x-10=(2x+5)(3x-2)[/tex]

Step-by-step explanation:

we are given

[tex]6x^2+11x-10[/tex]

We can factor it

[tex]6x^2+11x-10=6x^2+15x-4x-10[/tex]

we can use grouping method

[tex]6x^2+11x-10=(6x^2+15x)-(4x+10)[/tex]

now, we can take out common terms

[tex]6x^2+11x-10=3x(2x+5)-2(2x+5)[/tex]

we can take 2x+5 from both terms

[tex]6x^2+11x-10=(2x+5)(3x-2)[/tex]

so, we get factor terms as

[tex]6x^2+11x-10=(2x+5)(3x-2)[/tex]


The factored form of 6x² + 11x - 10 is: (2x + 5)(3x - 2)

Factorization of Algebraic Expressions

Given the algebraic expression, 6x² + 11x - 10, it can be factorized as shown in the steps below:

6x² + 11x - 10

6x² + 15x - 4x - 10

(6x² + 15x) - (4x - 10)

3x(2x + 5) - 2(2x + 5)

6x² + 11x - 10 = (2x + 5)(3x - 2)

Therefore, the factored form of 6x² + 11x - 10 is: (2x + 5)(3x - 2).

Learn more about factorization on:

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PLEASE HELP WILL GIVE BRAINLIEST

Find the measure of SMK

A) 36°
B) 48°
C) 56°
D) 66°

Answers

The answer is 66 because for triangle ASM they give you two angle measures in order to get the third angle measure you need to add the 30 and 36 you will get 66 but this is not the answer because you are trying to find the angle measure for SMK and since it shows that it is a 180 degree angle you must subtract (180-66) in order to get the angle measure of SMK

The required measure of ∠SMK is 66° for the given figure.

What are supplementary angles?

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

The figure is given in the question, as shown.

According to the given figure, we have

In triangle ΔAMS,

∠ASM + ∠SAM + ∠AMS = 180° (sum of the interior angle)

36° + 30° + ∠AMS = 180°

∠AMS = 180° - 66°

∠AMS = 114°

∠SMK + ∠AMS =  180° (Supplementary angles)

∠SMK +  114° = 180°

∠SMK = 180° -  114°

∠SMK = 66°

Thus, the measure of ∠SMK is 66°.

Learn more about supplementary angles here:

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Increasing W-4 allowances will ________ the net pay in your paycheck and ______ your total tax burden.

Answers

The answer is Increase and Decrease
W-4 allowance is deducted directly from the total of your salary by the employers.This means that the amount of money that you could take home will be reduced.
Since the employers now in the possession fo a certain percentage of your income, the tax burden is now no longer in your hands, which will reduce your amount of tax payment.

Subtract 9 from z. 9-Z, Or Z-9

Answers

It would be Z-9 since you are subtracting 9 from Z

A spherical balloon with radius r inches has volume defined by the function below. find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 3 inches. (give the answer in terms of π and r.) v(r) = 4/3 pi r^3

Answers

The function would be v (r+3)=4/3 π(r+3)^3.

The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?

Answers

the answer is 1/3 of 17.27

Answer:

23.55 feet

Step-by-step explanation:

Which equation can be used to find the number of wolves in the state on January 1? A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier. What is the number of wolves in the state on January 1? w−84=−23 w−23=84 23−w=84 w + 23 = 84

Answers

There were 23 fewer wolves, and there were 84 left after one year

w - 23 = 84

is your answer

because there were 107 wolves the previous year

hope this helps

Answer: w - 23 = 84

Step-by-step explanation:

peter walks 40 meters in 1 minute what is his walking rate in meters per second

Answers

Incorrect, I apologize.

Maxine bought items costing $5.25, $18.99, $2.99, and $17.50. She used a coupon worth $5.50. If Maxine had $60.00 before she went into the store, how much did she have when she left?

Answers

The answer should be $20.77

The price of a calculator has decreased from $200 to $150. What is the percent of decrease?

Answers

The percent of the decrease is 25%.

50 because 200-150=50
Hope this helps!
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