the sum of 4 consecutive even integers is -164. what is the value of the greatest integer

Answers

Answer 1

Answer:

The value of the greatest integer is -38

Step-by-step explanation:

Let's make

x = the first even integer

x + 2, x + 4, x + 6 are the following even integers.

Recall even numbers are counted every other number.

The sum of all the numbers is -164:

x + x + 2 + x + 4 + x + 6 = -164

Simplifying:

4x + 12 = -164

Subtracting 12:

4x = -164 - 12 = -176

Dividing by 4:

x = -176 / 4 = -44

Thus, the greatest of them all is x + 6 = -44 + 6 = -38

The value of the greatest integer is -38


Related Questions

The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700 students in 2015, then which of the following models the population n years from 2015?

Answers

To show a constant increasing rate, multiply the number by 1.02.
2700x1.02=2754
2754 students in 2016
2754x1.02=2809 students in 2017
2809x1.02=2865 students in 2018
2865x1.02=2922 in 2019
2922x1.02=2981 in 2020

Find the slope using the formula.
(3,-2) and (3, 6)

Answers

Answer:

m = undef

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, -2)

Point (3, 6)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{6+2}{3-3}[/tex]Add/Subtract:               [tex]m=\frac{8}{0}[/tex]Divide:                          m = undef

When we divide anything by zero, we will get undefined. Therefore, this would be a vertical line.

In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.

Answers

Answer: H0 : β1 = β2 = β3 = β4 = 0

Step-by-step explanation:

The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.

In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.


Sine and Cosine of any angle will always give a number less than 1. Why? (*HINT* Think about fractions and how Sine is oppositehypotenuse and Cosine is adjacenthypotenus )

Answers

Answer:

Hope this helped!

Step-by-step explanation:

The most easiest way to understand this is by considering a simple right angled triangle:-

For any right angled triangle

sin(theta)=perpendicular/hypotenuse

cos(theta)=base/hypotenuse

Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.

Complete the steps to solve 4.5 ÷ 0.5

Answers

Answer:

9

Step-by-step explanation:

4.5/0.5=9

9*0.5=4.5

hope this helps :3

if it did pls mark brainliest

Answer:

4.5 ÷ 0.5

45/10 ÷ 5/10

45/10 × 10/5

450/50

45/5

= 9

Step-by-step explanation:

Solve the equation-17x-16=-135

Answers

Answer:

x=7

Step-by-step explanation:

Add 16 to both sides

-17x-16+16=-135+16

Simplify

-17x=-119

Divide both sides by -17

-17x/-17=-119/-17

Simplify

x=7

Hope this helped! :)

A plane begins its takeoff at 2:00 P.M. on a 2200-mile flight. After 12.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.A) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 303 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 303 mi/hr and decelerating from 303 mi/hr.B) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 152 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 152 mi/hr and decelerating from 152 mi/hr.C) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 88 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 88 mi/hr and decelerating from 88 mi/hr.D) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 117 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 117 mi/hr and decelerating from 117 mi/hr.E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.

Answers

Answer:

E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.

Step-by-step explanation:

In this question we have the average velocity v = 2200/12.5

= 176miles/hr

The function Which describes the velocity of a plane is continuous. At point t, f(t) is equal to 176. So by the mean value theorem we arrive at a conclusion that the velocity is going to attain the speed of 100 miles per hour twice. The first time is during acceleration, and the second time is during deceleration. So by this, the answer to this question is option E.

3. Determina la solución dex en la siguiente ecuación. 10x + 3 = 9 x -2

Answers

Answer:

x=5

Step-by-step explanation:

10x + 3 = 9 x -2

10•x + 3 = 9•x -2

What I Know (Pre-Test)

Click the pin


I am still grade 5

Okay I ned high age so I can get in Brainly ph

Dis is my 3/5 account

Answers

Answer:

1. 1/7 x 7/1= 1

2. 5/9 x 9/5= 1

3. 23/11 x 11/23= 1

4.  13/61 x 61/13= 1

5. 8/9 x 9/8= 1

Explanation:

when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.

What is the answer I’m dumb

Answers

Answer:

9units

Step-by-step explanation:

Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?

Answers

Step-by-step explanation:

1.

the null hypothesis:

H0: u = 8 hours ( new Yorkers sleep for 8 hours)

The alternate hypothesis;

H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)

b.

test statistic

t = (barX - u)/s/√n

= 7.73-8/0.77/√25

= -1.7532

degree of freedom = n-1

= 25-1 = 24

c.

p(value)

= p(t < -1.7532)

= 0.046

obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.

d

The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.

e.

at 90% level of confidence

we have

7.73-0.26334, 7.73+0.26334

= 7.466, 7.993

please check attachment

thank you!

What is the simplest form for 15:25​

Answers

Answer:

3/5

Step-by-step explanation:

Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)

This is for the roller coaster design packet, I need the graph, I’ll give Brainliest and give a handsome amount of 100 points

Answers

Answer:

i am going to work it out

Step-by-step explanation:

i am to ask my mom for help and tell you the answer

PLEASE MATCH THE ANSWERS

Answers

Answer:

Step-by-step explanation:

Triangle is

obtuse and

isosceles

A is what percent of B? c A = 10 km, B = 1 km

Answers

Answer:

1000%

Step-by-step explanation:

Answer:

1000%

Step-by-step explanation:

The comparison is 10km and 1km, right?

A is 10 times bigger than B.

100% times 10 is 1000%

Hope this helps. :)

Which one doesn't belong​

Answers

Answer:

Doesnt belong to what?

Step-by-step explanation:

What’s the question??

Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13

Il Pause

Не

You earn $6 per hour babysitting and $10 per hour working at a gas station. You want to earn at least $90 to cover your weekly

expenses and have at most 15 hours available to work this week. The gas station requires you to work at least six hours per week.

Write a system of linear inequalities to model this situation.

OF B + G > 90

6B + 10G< 15

G> 6

O G 6B + 10G > 90

B + G > 15

G<6

OH 6B + 10G > 90

B + G < 15

G 26

Type here to search

o

ENG 9:20 AM

921

Answers

Answer:

[tex]B + G \leq 15[/tex]

[tex]6B + 10G \geq 90[/tex]

Step-by-step explanation:

Given

Represent Babysitting with B

Represent Gas Station with G

Total workhours = At most 15

Earnings = At least $90

First, we need to represent the work hours as inequality

B + G  = At most 15

At most 15 means less than or equal to 15.

So, we have:

[tex]B + G \leq 15[/tex]

Next, we represent the earnings as inequality.

6 hours of babysitting is: 6B

10 hours at gas station is: 10G

So:

6B + 10G is at least 90

At least 90 means greater than or equal to 90

So, we have:

[tex]6B + 10G \geq 90[/tex]

An electrician needs to buy 12 3/5 yards of electrical wire. Wire is sold on spools that have 3 1/2 yards of wire in each. How many whole spools of wire does the electrician need to buy? Write your answer as a decimal.

Answers

He needs to buy 3.6 spools but I guess that wouldn't be possible in real life so he needs to get 4 and then has some leftover.
12 3/5 / 3 1/2 = 3.6

Given: log 5=a, log 3=b, log 2=c. Find: log30 8

Answers

Answer:

log 30 = abc

Step-by-step explanation:

Given:

log 5 = a

log 3 = b

log 2 = c

Find:

log 30

Computation:

log a + log b + log c = log abc

log 5 + log 3 + log 2 = log 30

log 30 = (a)(b)(c)

log 30 = abc

Expand & simplify
(2x + 3)(x + 2)

Answers

            (っ◔◡◔)っ ♥ Hey Honey Here!♥Answer♥

2ײ+ 7× + 6

plz give me brain list it would help a lot!

                        ♥  お力になれて、嬉しいです

One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

Answers

Answer:

4

Step-by-step explanation:

4

What is the change in temperature from 20 degrees F dropping to -33 degrees F?

Answers

Answer:

53 degrees.

Step-by-step explanation:

Your just finding the difference or the "change" So I did 20+33=53.

Because if it is 20 degrees and has to get to -33 then to get to 0 degrees it's minus 20 then to get to -33 its minus 33 so total I have changed the temp by 53 degrees. Sorry, this was so confusing it's very hard to word.

PLEASE MARK BRAINLIEST

Complete the table of values for this equation:

y = 4x +30

Enter your answer by filling in the boxes

Answers

Answer:

42, 46, and 50.

Step-by-step explanation:

We need to plug in each x value to find the y values.

1) y = 4(3) + 30

y = 12 + 30

y = 42

2) y = 4(4) + 30

y = 16 + 30

y = 46

3) y = 4(5) + 30

y = 20 + 30

y = 50

3(x+6)=3x + _
Please asap

Answers

Answer:

3x + 18

General Formulas and Concepts:

Pre-Alg

Distributive Property

Step-by-step explanation:

Step 1: Define expression

3(x + 6)

Step 2: Expand

Distribute 3 to both terms:          3x + 18

Answer

3x+18 or 3x+9 but I'm not sure which one

Grandma made an apple pie. Josh and his brother Joe finished 4/5 of it. Then, three friends came over and shared the leftover pie. How much of the pie did each friend eat?

Answers

Answer:

each freind would get 1/15 of the pie

Step-by-step explanation:

1/5 divide by 3 equals 1/15

The answer is each friend will get 1/15

a city depatment uses an average of 25 10cent,35 15 cent and 350 20 cent postage stamps each day.the total cost of stamps used by the department in a 5 day period is

Answers

Answer =$388.75

25x.10= $2.50, 35x.15=$5.25, 350x.20=$70
$2.50+5.25+70=$77.75x5 days=$388.75


Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?

Answers

Answer:

$13.92

Step-by-step explanation:

$212.90-198.98

Plz help will mark Brainliest What is the length of BC

Answers

Is this a test? Cause im pretty sure this is cheating

are the triangles congruent if so state how they are congruent.

Answers

Answer:

Step-by-step explanation:

They are congruent.

SSS

Pythagoras theorems
Question 7

Answers

Answer:

i think the answer is 16/3

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