The sum of 2 consecutive odd integers is -60.
What are the integers?
I need help!

Answers

Answer 1
Answer:  -31 and -29

=======================================================

Explanation:

Consecutive integers are integers that follow one right after another. For example, the set {3,4,5} represents consecutive integers.

Consecutive odd integers are a similar idea but that every value is odd. Example: {7,9,11,13}

Let x be some integer. If we multiply it by 2, then it's always even. So 2x is always even. Adding 1 to it makes it odd. So 2x+1 is odd.

The next odd integer after (2x+1) is (2x+3)

Add those two integers and set that sum equal to -60. Solve for x.

(2x+1)+(2x+3) = -60

4x+4 = -60

4x = -60-4

4x = -64

x = -64/4

x = -16

If x = -16, then

2x+1 = 2*(-16)+1 = -32+1 = -31

2x+3 = 2*(-16)+3 = -32+3 = -29

Then note how -31+(-29) = -60 which confirms our answers.


Related Questions

I don't know how to do this Solve the equation.

x3=−8
x=

Answers

Answer:
x= -8/3 or x= -2.6

working out:
Divide by 3 on both sides

Answer: -2 2/3 or -8/3

Put each line into slope-intercept form:
1. 2x + 4y = 8

2. 2y = 2x + 4

( Can someone help me )

Answers

Answer:

Step-by-step explanation:

Hh

at the school Fall Festival the students council sold soda at the fundraiser the table below shows the number of sodas they sold and they cumulative total money.
A. 3.40 per soda
B. 1.40 Per soda
C. 2.40 Per soda
D. 3.60 per soda ​

Answers

Answer:

$4.80/2sodas

4.80/2=2.40

C. 2.40 per soda

Solve by substitution.

X = y + 3
3x + y = 25

Answers

1.distribute
3y+9+y=25
2. combine like terms
4y+9=25
3. subtract 9 from both sides
4y=16
4. divide
Solution: y=4
and for X it would be
X= (4) +3
X=7
so the Final solution is (7,4)

Sophia is shopping for a new basketball. The basketball she is going to buy is priced at $18.50, but she has a coupon for 20% off. How much money will she save if she uses the coupon?

Answers

Answer:

$14.80

Step-by-step explanation:

18.50 * 0.20 = 3.70

Then

18.50 - 3.70

Yo I am not 100% sure. I have 90% sure that it is right answer though.

If that isn't one of your answer choices then it means it is 3.70.

$3.70 that it ok......

X = [ ? ]

PLEASE HELP

Answers

Step-by-step explanation:

60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)

Therefore 2x = 60° and x = 30°.

Answer:

Step-by-step explanation:

2x + 60 = (180 - 60)

x = (180-120)/2

x = 30

I have no clue what to put in all of these boxes help me

Answers

Put 100. In the first box

i dont think it right i only could do the first one i dint know the last one cuz ...

I need it step by step please​

Answers

Answer: None of the lines are parallel to one another

======================================================

Explanation:

Solve each equation for y

Line a:

4y+x = 8

4y = -x+8

y = (-x+8)/4

y = (-x/4) + (8/4)

y = (-1/4)x + 2

This equation is in the form y = mx+b with slope m = -1/4

---------------

Line b:

2y+x = 4

2y = -x+4

y = (-x+4)/2

y = (-x/2) + (4/2)

y = (-1/2)x + 2

The slope is m = -1/2. It is not parallel to line a because parallel lines must have the same slope (but different y intercept).

-----------------

Line c:

2y = -3x+6

y = (-3x+6)/2

y = (-3x/2) + (6/2)

y = (-3/2)x + 3

The slope here is m = -3/2. it is not parallel to line a, and it is not parallel to line b either for similar reasons discussed above.

-----------------

In summary, none of the three lines are parallel to one another. The graph below visually confirms this. Each pair of lines intersects at exactly one location, showing they cannot be parallel.

what numbers 60, 90, 30, and 45 mean in each ratio statement?

Answers

Answer:

Step-by-step explanation:

30 is half or 60

45 is half of 90

1:2 ratio

What is ratio? I





I will mark Brainiest

Answers

Answer:

ratio is line from center to end of the circle

Step-by-step explanation:

A ratio indicates how many times one number contains another.

Example: eight oranges and six lemons in a bow of fruit, then the ratio of oranges to lemons is eight to six


8 : 6 (which the equivalent ratio is 4 : 3 because it’s half)

Complete each statement given w = 2(cos(90o) + i sin (90o)) and z = StartRoot 2 EndRoot (cos(225o) + i sin(225o)). In rectangular form, w = 0 + i. In rectangular form, z = – 1i. In rectangular form, w + z = –1 + i. In polar form w + z = StartRoot 2 EndRoot (cos(o) + i sin(o)

Answers

This question is based on the concept of polar form.Therefore, the expression in polar form is [tex]\bold {z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]

Given the following complex numbers in:

w = 2(cos(90°) + i sin (90°))

As we know that,

sin 90 degree = 1

cos 90 degree = 0

Put these values in given equation,

We get,

w = 2(0+i(1))

w = 2(0)+2i

w = 0+2i

Hence the value of w in rectangular form is  0+2i .

Now solving for z:

z =√2(cos(225°) + i sin(225°))

z = √2(-1/√2+ i (-1/√2))

z = -√2/√2 - √2(-1/√2)i

z = -1 + 1i

Therefore, the value of z in rectangular coordinate is -1+ 1i.

Now solving for  w + z:

w + z = 0+2i + (-1+1i)

w+z = 0+2i-1+i

w+z = -1+3i

Write w+z in polar form,

Get the modulus

|w+z| = √(-1)²+3²

|w+z| = √1+9

|w+z| =  √10

Get the modulus

= tan^-1(-3)

= -71.56

[tex]\Theta[/tex] = 180 - 71.56

[tex]\Theta[/tex] = 108.43

Therefore, the expression in polar form is,[tex]\bold{z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]

For more details, prefer this link:

https://brainly.com/question/12628920

Answer:

Step-by-step explanation:

A. 1i

B.315

C.315

Hope this helps!

5 squared plus 5 squared plus 8 squared.

Answers

5^2 + 5^2 + 8^2 =

25 + 25 + 64 =

50 + 64 = 114

Answer:

114

Step-by-step explanation:

25 + 25 + 64 = 114

OPEN ENDED QUESTION -6(-3)​

Answers

Answer:

-6(-3)​=18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 x 3 = 18 bc neg x neg = pos

An item is regularly priced at $75. It is now priced at a discount of 65% off the regular price

Answers

the new price would be $26.25

Answer:

you pay $26.25

you save $48.75

Step-by-step explanation:

Trust

The varlables x and y vary Inversely. Use the given values to wrke an equation relating X and y

Answers

x and y vary inversely means y is inversely proportional to x, this means:

y=k/x, where k is a constant.

We are given that when x=-4, y=7/2, we replace these values to find k.

7/2=k/-4
k= (-4*7)/2=-14

So we have y=-14/x

Therefore, when x=4, y=-14/4= -7/2

Help with congruent angles - please

State if the 2 angles are congruent. If they are, state how you know

Answers

Answer:

They are not congruent.

The lines or the marks show that each side is congruent. If you compare the sides to where the angle is, you will see that it is not congruent.

Which expression represents the number of hours in w weeks and d days?
A. 7W + 12d
B. 84W + 24d
C. 168W + 24d
D. 168W + 60d

Answers

The answer is c// 24 hours in a day eliminates a and d and 24 times 7 is 168

The expression represents the number of hours in w weeks and d days is 168 W + 24 d.

The correct option is (C).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

We know the number days in a week = 7

and, the number of hour in a day = 24

So, number of hour in a week = 24 x 7 = 168

Then, the expression number of hours

= 168 W + 24 d

where W is the weeks and d is days.

Learn more about Expression here:

https://brainly.com/question/14083225

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a club has two membership levels gold and silver gold members pay 10$ per year and silver members pay 5 per year.The Club collected 300$ on memberships this year.Let g the number of gold members this year.which graph models the relationship between the number of gold and silver members?

Answers

Answer:

A

Step-by-step explanation:

CAUSE MATH

I GOT THE SAME QUESTION AND GOT IT CORRECT. YEET :))))))))

Question 7 options: A raffle sells 1000 tickets for $35 each to win a new car. What is the probability of winning the car

Answers

Answer:

it would be 1/1000 assuming only 1 ticket sold to 1 person each; if a person bought more than 1 ticket then there odds of winning increase

Step-by-step explanation:

The probability of winning the car is 0.001.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Given that, a raffle sells 1000 tickets for $35 each to win a new car.

Here, we know that there is a total of 1000 tickets. If there is only one car, then definitely only one wins the raffle. The probability of winning is also dependent on the number of tickets one will purchase. But for this problem, we are going to assume that only one raffle can be bought by one person. Thus, the probability of winning a new car is simply

P(E)= Number of raffle tickets one can buy/Total number of raffle tickets

= 1/1000

= 0.001

Therefore, the probability of winning the car is 0.001.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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can anyone help with me with this question?

Answers

Answer:

35

Step-by-step explanation:

Answer:

y = 35°

Step-by-step explanation:

if the lines are parallel, the alternate interior angles theorem applies ("if a transversal intersects two parallel lines then alternate interior angles are congruent"). so since we know that the lines are parallel, the alternate interiors are congruent so 70=2y. from there, divide both sides by 2 to isolate y (division property of equality) and y=35.

Which expression is equivalent to (StartRoot 3 EndRoot + i) cubed? URGENT!!!!!!!!!! WILL GIVE BRAINLIEST

Answers

Answer:

third option

Step-by-step explanation:

Using De Moivre's theorem

([tex]\sqrt{3}[/tex] + i)³ , then

| [tex]\sqrt{3}[/tex] + i |

= [tex]\sqrt{(\sqrt{3})^2+1^2 }[/tex]

= [tex]\sqrt{3+1}[/tex] = [tex]\sqrt{4}[/tex] = 2

arg([tex]\sqrt{3}[/tex] + i) = [tex]tan^{-1}[/tex]( [tex]\frac{1}{\sqrt{3} }[/tex] ) = [tex]\frac{\pi }{6}[/tex]

Thus

([tex]\sqrt{3}[/tex] + i)³

= 2³ [ cos(3 ×[tex]\frac{\pi }{6}[/tex] ) + isin( 3 × [tex]\frac{\pi }{6}[/tex] ) ]

= 8 [ cos([tex]\frac{\pi }{2}[/tex]) + isin([tex]\frac{\pi }{2}[/tex] ) ]

Answer:

C

Step-by-step explanation:

I need help ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 56/33

Step-by-step explanation: Tan= Opposite over Adjacent or O/A

The answer is 56/33

Charmaine started a game at 10:44AM and finished at 11:11AM How long did it take her give your answer in minutes

Answers

Answer:

Total time taken = 27 min

Step-by-step explanation:

Given:

Started game time = 10:44 AM

Ending game time = 11:11 AM

Find:

Total time taken

Computation:

Total time taken = Ending game time in min - Started game time in min

Total time taken = [11x60 + 11] - [10x60 + 44]

Total time taken = 671 - 644

Total time taken = 27 min

The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the pool is 1,500 square feet. What are the length and width of the pool?

Answers

Answer:

750

Step-by-step explanation:

The length and width of the swimming pool is 50feet and 30 feet respectively.

What is surface area ?

The amount of space covering the outside of a three dimensional space is called surface area.

Formula for the surface area of  rectangular swimming pool

surface area = length × breadth

According to the given question

The length of the rectangular swimming pool is 20 feet greater than the width.

and, the surface area of the pool is 1,500 square feet.

Let the width of the rectangular pool be x.

length of the pool = 20+x

therefore,

surface area of pool = length × breadth

⇒1500 = x×(20+x)

⇒[tex]1500= 20x+x^{2}[/tex]

⇒[tex]x^{2} +20x-1500=0[/tex]

⇒[tex]x^{2} +50x-30x-1500=0[/tex]

⇒[tex]x(x+50)-30(x+50)=0[/tex]

⇒[tex](x-30)(x+50)=0[/tex]

⇒x=30 and -50(not possible)

x=30 feet

so, the width of the pool is 30 feet.

length of the pool = x+20 = 30+20 = 50 feet.

Hence, the length of the pool is 50 feet and width of the pool is 30 feet.

Learn more about the surface area here:

https://brainly.com/question/2835293

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what is the distance between -3 and 2 on the number line​

Answers

5
2+3 is 5
HOPE THIS HELPS
HAPPY CHRISTMAS

How many solutions does the nonlinear system of equations graphed below have?
A. Two B. One C. Four D. Zero
I think 4 but I'm not sure​

Answers

Answer: 4

Step-by-step explanation: just did it myself

Someone help me please I don’t get it

Answers

Answer:

x = [tex]\frac{15}{2}[/tex] , x = 1

Step-by-step explanation:

(a)

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

(b)

3x + 2 = [tex]\frac{2x+13}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

HELP
Terry leaves his house
riding a bike at 20
km/h. Sally leaves 6 h
later on a scooter to
catch up with him
travelling at 80 km/h.
How long will it take
her to catch up with
him?

Answers

Answer:

2

Step-by-step explanation:

So let's call the time she needs to catch up "x", and so Terry's rate would be x-6 since he left home 6 hours earlier. Then we multiply the rates to get 20x - 120 = 80x. The answer is -2, but we can just say 2.

Checking our answer, that means if it took Sally 2 hours, it took Terry 8 hours for he left home 6 hours earlier. So 8 times 20 = 160km traveled. 2 times 80 = 160km traveled. Same distance.

Explain how to estimate the quotient using compatible numbers.

27 2/3 divided by 3 9/10

Answers

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

Hope this helps,

Please give brainliest if you like my answer

Have a great day

7: please help! please only real answers; will report

Answers

Answer:

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] a real function, we define the following function operations:

Horizontal translation

[tex]g(x) = f(x + a)[/tex] (1)

If [tex]a > 0[/tex], then horizontal translation is to the left, otherwise it is to the right.

Vertical translation

[tex]g(x) = f(x) + a[/tex] (2)

If [tex]a> 0[/tex], then vertical translation is upwards, otherwise it is downwards.

Knowing that [tex]f(x) = \log_{2}x[/tex] and [tex]g(x)[/tex] is the result of translating [tex]f(x)[/tex] four units downwards and five units to the left. Then, we find that:

[tex]g(x) = \log_{2} (x+5)-4[/tex]

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].

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