three consecutive odd integers add up to -3​

Answers

Answer 1

Answer:

The investors are: -3, -1 and 1

Step-by-step explanation:

Given

Three consecutive odd numbers

[tex]Sum = -3[/tex]

Required: Determine the odd numbers

Let the smallest be x. So, the other 2 are: x + 2 and x + 4.

The sum is then:

[tex]Sum = x + x + 2 + x +4[/tex]

[tex]Sum = 3x +6[/tex]

[tex]3x +6 = -3[/tex]

Collect Like Terms

[tex]3x = -3-6[/tex]

[tex]3x = -9[/tex]

[tex]x=-3[/tex]

The other two are:

[tex]x + 2 = -3 + 2 = -1[/tex]

[tex]x + 4 = -3 + 4 = 1[/tex]

Hence, the investors are: -3, -1 and 1


Related Questions

What is the coefficient of 20x?

Answers

Answer:

20

Step-by-step explanation:

A coefficient is the number that is attached to the variable.

In this case, the number attached to the variable is 20.

Therefore, the coefficient is 20

hope this helps :)

According to a recent warning from the FDA, grain-free food might be giving dogs a life- threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average blood pressure between four different food types (expensive grain-free dog food, cheap grain-free dog food, expensive dog food with grain included, and cheap dog food with grain included). What hypothesis test would be appropriate for analyzing the above scenario?
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages

Answers

Answer:

z test of independent averages

chi-squared goodness of fit test

ANOVA

test of two proportions

paired t-test

chi-squared test of independence

t test of independent averages

Step-by-step explanation:

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

Yes

Step-by-step explanation:

Substitute  2+1=3

                 3=3

Equal means solution

Answer:

Yes (2,3) is a solution to this system of equations

Step-by-step explanation:

(x,y) (2,3) so x=2 y=3

3=3

3=2+1

Equations are true so it's a solution


Solve for x. (RIGHT ANSWER WILL GET BRAINLIEST)

Answers

Answer:

67

Step-by-step explanation:

The angle with x in it is a vertical angle to the other one labeled & the right angle put together.

Therefore:

48 + 90 = 2x + 4

Solve for x:

138 = 2x + 4

138 - 4 = 2x + (4-4)

134 = 2x

134/2 = 2x/2

X = 67

Hope this helps! Have a great day!

what is 2 - 1/8
???????????????????????

Answers

Answer:

1 7/8

Step-by-step explanation:

2 - 1/8 = 1 7 /8

1 7/8 + 1/8 = 2

What is the equation for the lines that passes through the coordinates (2,7) and (0,1)

Answers

Answer:

(x1,y1)   is  (2,7)

    (x2,y2)   is  (0,1)

Step-by-step explanation:

Point-slope form is:

 

  (y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)

 

   y - 7 =( (-6)/(0-2) )(x-2)

   y - 7 = 3x - 6

    y = 3x + 1    [slope-intercept form]

Check:

  Is  (2,7) on the line:

       7 = 3(2) + 1   ?

       y = 7   ?yes

  Is (0,1) on the line:

       1 = 3(0) + 1   ?

       1 = 1   ? yes

Answer:

y=3x+1

to find the slope, find the change in y/change in x

7-1=6

2-0=2

6/2=3

3 is your slope

your y intercept occurs when x=0, and that was given to you in the problem

(0,1)

your y int is 1

y=3x+1

Solve: 0=-x2+2x+8

[tex]0=-x2+2x+8[/tex]

Answers

Answer:

x = 4

x = -2

Step-by-step explanation:

In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
4.4
2.1
E
С

Answers

Answer: 61.5

Step-by-step explanation: gave up on deltamath

c) 20 blank CD-Roms cost £3.20
How much do 75 CD-Roms cost?

Answers

Answer:

the cost of 75 CD Roms is £12

Step-by-step explanation:

The computation of the 75 CD roms cost is shown below:

Since it is mentioned that

for 20 blank CD roms it cost £3.20

So for 75 CD Roms, the cost would be

= £3.20 × 75 ÷ 20

= £12

Hence, the cost of 75 CD Roms is £12

solve for x. Please show work

Answers

Answer:

9

Step-by-step explanation:

What is 5x1=??? :) This is SOO hard!:( I will give hmmmm 96 point!

Answers

Answer:

5

Step-by-step explanation:

4 5/6 - 4 1/3 in simplest form

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\dfrac{5}{6}-4\dfrac{1}{3}\ =}[/tex]

[tex]\mathsf{4\dfrac{5}{6}=\bf \dfrac{29}{6}}[/tex]

[tex]\mathsf{4\dfrac{1}{3}=\bf \dfrac{13}{3}}[/tex]

[tex]\mathsf{\dfrac{29}{6}-\dfrac{13}{3}}[/tex]

[tex]\mathsf{\dfrac{(29\times3)-(13\times6)}{6\times3}}[/tex]

[tex]\mathsf{29\times3 = \bf 87}\leftarrow \large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{13\times6= \bf 78}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{\dfrac{\bf 87-78}{6\times3}}[/tex]

[tex]\mathsf{87-78=\bf 9}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{\dfrac{\bf 9}{6\times3}}[/tex]

[tex]\mathsf{6\times3 = \bf 18}\leftarrow\large\textsf{\underline{DENOMINATOR}}[/tex]

[tex]\mathsf{\dfrac{9}{\bf 18}}[/tex]

[tex]\mathsf{\dfrac{9\div9}{18\div9}}[/tex]

[tex]\mathsf{9\div9=\bf 1}\leftarrow \large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{\dfrac{\bf 1}{18\div9}}[/tex]

[tex]\mathsf{18\div9= \bf 2}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{ = \dfrac{1}{\bf 2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{1}{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which choice shows 1/4 of 8

Answers

Answer:

there is no picture so I dont know what i have to do..

Choose all that correctly solve for the variable x
[tex]\frac{5}{2} x[/tex] = [tex]\frac{15}{2}[/tex]
x = 3
------------------------------------------------------------------------------
x + [tex]\frac{7}{2} = 7\\x
= \frac{7}{2}[/tex]
---------------------------------------------------------------------------------
x + 3 = [tex]\frac{21}{5}\\x
= \frac{5}{6}[/tex]
----------------------------------------------------------------------------
5x = \frac{11}{2}
x = |frac{10}{11}

Answers

Answer1. X = 32. [tex] \frac{7}{2} [/tex]3.

[tex] \frac{5}{6} [/tex]

Hope it Helps

Solve the equation 3^x+3=5

Answers

3*x+3=5
3*x=2

X=0.67

Sorry if wrong but hope this helps.

Simplify the following proper fraction by reducing to lowest terms. 2/18

Answers

Answer:1/9

Step-by-step explanation: divide both sides of the fraction by 2

Answer:

1/9

both divide by 2 then 2/2=1 and 18/2=9 so that the answer will be 1/9

You toss a coin 100 times and get only 12 heads. Do you have reason to suspect the coin is unfair

Answers

Answer:

No

Step-by-step explanation:

The coin has 2 sides. Heads and tales. If you flipped a million heads in a row, on your next flip, there is still a 50 percent chance of flipping tales. Just become the outcome has been favorable to tales doesn't mean the probability changes

Suppose that the space shuttle has three separate computer control systems: the main system and two backup duplicates of it. The first backup would monitor the main system and kick in if the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system, since the systems are separate. The probability of failure for any one system on any one mission is known to be 0.01.
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be
1
one hundred thousand
(Enter your answer as a whole number.)
_____ backup systems.

Answers

Answer:

a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

b) 3 backup systems are needed.

Step-by-step explanation:

For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three separate computer control systems

This means that [tex]n = 3[/tex]

The probability of failure for any one system on any one mission is known to be 0.01.

So the probability of working is:

[tex]p = 1 - 0.01 = 0.99[/tex]

(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)

This is [tex]P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]

0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand

This is n for which:

[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]

With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.

We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]

So 3 backup systems are needed.

Jayden has $10 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
$
Submit

Answers

Answer:

$1

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 10 × 0.05 × 2 = 1

I = $ 1.00

The simple interest accumulated

on a principal of $ 10.00

at a rate of 5% per year

for 2 years is $ 1.00.

A home has a room with length 22 feet and width 25 ft.
Which dimensions could represent a scale model of the room?
O length = 6.5 in.; width = 7.5 in.
O length
= 11 in.; width = 12.5 in.
O length = 13 in.; width = 14 in.
O length = 17.6 in.; width = 19.5 in.

Answers

Answer:

O length = 11 inches width = 12.5 inches

Step-by-step explanation:

HELP PLS THIS IS FOR STATISTICS

Answers

Step-by-step explanation:

P(A) = . 6

P(B) = . 3

P(A or B)

= P(A) + P(B)

= . 6 + .3

= . 9

Hope it will help :)❤❤

Which is the solution to the inequality
-4x + 6<2x

Answers

Step-by-step explanation:

-4x+6<2x

add 4x to both sides

-4x+4x+6<2x+4x

0+6<6x

divide both sides by 6

6/6<6/6x

1<x

all values for the solution to the inequality are greater than 1

Hope that helps :)

Please give brainliest

the profits from eds plumbing company increased by 14,460, or 30% this year. what profit did the company esrn last year?​

Answers

the company earned a profit of $48,200 last year.

~ hope this helps!

The profit of plumbing company from eds earn last year, 48200  

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The profits from eds plumbing company increased by 14,460, or 30% this year

The profit company earned last year = ?​

Suppose, last years profit = X

New profit = X + 0.30X  = X + 14460

   0.30X  =   14460

           X  =  48200

Hence, the last years profit is 48200  

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ5

Layla misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 51?

Answers

Answer:

49.47

Step-by-step explanation:

Layla missed 5%

so what you do is take the number 51

Then subtract it by 3%

And you get 49.47

So if the value of the solid's surface area is equal to the volume. Find the value of x

The height of the solid is 5in and the width is 6in. X is the value of the length

Answers

Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.

The height of the solid is 5in and the width is 6in. X is the value of the length

4

Step-by-step explanation:

a rectangle prism has a volume of x^3 + 6x^2 - 7x - 60. If the height of the prism is x + 4, the dimensions of the base are

Answers

Height = volume / area of the base
= 10x^3 + 46x^2 - 21x - 27 / 2x^2 + 8x - 9
10x^3 / 2x^2 = 5x so the first term in the answer will be 5x

The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.

Answers

Answer:

length=22

width=21

Step-by-step explanation:

let, length be x and width be y.

x=2y-20

2(x+y)=86

or, 2(2y-20+y)=86

or, 2(3y-20)=86

or, 6y-40=86

or, 6y= 126

or, y= 126/6

y= 21

x= 2×21-20 = 42-20 =22

Determine whether the two expressions are equivalent.If so,tell that property is applied. (37) and (2.3). 7*
O Yes; Identity Property
O Yes; Associative Property
O Yes; Commutative Property
O Yes; Inverse Property
O Expressions are not equal

Answers

Answer:

Yes; Inverse Property...

I hope it helps..

The answer is inverse property i hope this helped u

How many solutions does this system have?
X-3y = 4
-2x+6y=3
one
two
an infinite number
no solution

Answers

the answer is no solution

Which quadrilateral can have 2 pairs of parallel sides, all sides
with equal length, and no right angles?
A square

A triangle

A Rhombus

Trapezoic

Answers

Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.

I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.
There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.

The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.

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