The sum of four consecutive integers is -118. What is the largest of the integers?

Answers

Answer 1

Answer:

-28

Step-by-step explanation:

the four number are -28, -29, -30, and -31. they are all consecutive meaning all before or after the previous number. The sum is -118 making then all negative so when you add all the negative numbers you get and even bigger negative number. it is -28 because -28 is closest to 0.


Related Questions

can someone help me with thiss?

Answers

Answer:

Step-by-step explanation:

Which equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2

Answers

Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

4x = 28, then x=.......................

Answers

Answer:

x=7

Step-by-step explanation:

28/4=7 or 4*7=28. you just multiply or divide to find your answer

what is the value of x

Answers

Answer:

x=12

Step-by-step explanation:

substitute the number 12 with X

x=12 because it just does. hope you got it.

Please help, I’m being timer

Answers

Answer:

CB=18

And the measure of angle BDA is 21 degrees

Step-by-step explanation:

Answer: ∠BDA = 21; CB = 30

have:

sin ∠BDC = [tex]\frac{4x+6}{BD}[/tex]

sin ∠ADB = [tex]\frac{7x-12}{BD}[/tex]

because ∠BDC = ∠ADB => sin ∠BDC = sin ∠ADB

=> [tex]\frac{4x+6}{BD}=\frac{7x-12}{BD}[/tex]

=> 4x + 6 = 7x -12

<=> 3x = 18

<=> x = 6 => CB = 4.6 + 6 = 30

Step-by-step explanation:

How to find vertex form with vertex: (3,6) and y intercept: 2

Answers

Answer:

             f(x) = - ⁴/₉(x - 3)² + 6

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

So for vertex (3, 6) it will be:

f(x) = a(x - 3)² + 6

y intercept: 2 means  f(0) = 2

f(0) = a(0 - 3)² + 6

2 = a(-3)² + 6

2 -6 = 9a + 6 -6

-4 = 9a

a = ⁻⁴/₉

Therefore:

The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is

                             f(x) = - ⁴/₉(x - 3)² + 6

The vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The vertex: (3,6) and y-intercept: 2

As we know,

The parabola equation:

f(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola and a is the leading coefficient.

f(x) = a(x - 3)² + 6

f(x) =  2 at x = 0

2 = a(0 - 3)² + 6

a = -4/9

f(x) = -4/9(x - 3)² + 6

Thus, the vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Chandler wants to raise 200$ to buy a new gaming system. He already has 80$ and plans to save 40$ a week. How many weeks will it take chandler to raise enough money to buy his gaming system?

Answers

Answer:

3 weeks

Step-by-step explanation:

Step one:

given data

expected amount =$200

cash already at hand=$80

savings per week=$40

let the number of weeks be x

Step two:

the linear function for the situation is the same as the equation of a straight line

y=mx+c------1

200=4x+80

solve for x

200-80=40x

120=40x

divide both sides  by 4

x=120/40

x= 3 weeks

Chandler will save for 3 weeks

Find the midpoint of the segment with the given endpoints.
(-7.-10) and (-2,2)

Answers

Answer:

(-9/2,-4)

Step-by-step explanation:

I hope this helps.

(-4.5,-4) is the midpoint

If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?

Answers

Learn about the rules for 180 degree rotation in anticlockwise or clockwise direction about the origin.



How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph?

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).



Worked-out examples on 180 degree rotation about the origin:

1. Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin. i) A (3, 5)

(ii) B (-2, 7)

(iii) C (-5, -8)

(iv) D (9, -4)

Solution:

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5)

(ii) The new position of the point B (-2, 7) will be B' (2, -7)

(iii) The new position of the point C (-5, -8) will be C' (5, 8)

(iv) The new position of the point D (9, -4) will be D' (-9, 4)



2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.

Solution: When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).



3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.

Solution: On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.

Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:

P (-3, 1) → P' (3, -1)

Q (2, 3) → Q' (-2, -3)

Thus, the new position of line segment PQ is P'Q'.

4. Draw a line segment MN joining the point M (-2, 3) and N (1, 4) on the graph paper. Rotate it through 180° in anticlockwise direction.

Solution: plotting the points M (-2, 3) and N (1, 4) on the graph paper to get the line segment MN.

Now, rotating MN through 180° about the origin O in anticlockwise direction, the new position of points M and N is:

M (-2, 3) → M' (2, -3)

N (1, 4) → N' (-1, -4)

Thus, the new position of line segment MN is M'N'. 5. Draw a triangle PQR by joining the points P (1, 4), Q (3, 1), R (2, -1) on the graph paper. Now rotate the triangle formed about the origin through 180° in clockwise direction.

Solution: We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is:

P (1, 4) → P' (-1, -4)

Q (3, 1) → Q' (-3, -1)

R (2, -1) → R' (-2, 1)

Thus, the new position of ∆PQR is ∆P’Q’R’.




Answer:

im not sure if there is a picture it would help more :)

Step-by-step explanation:

here is a list of ingredients for making 12 rock cakes nihay wants to make 42 cakes does she have enough sugar to make 42rock cakes u must show your working

Answers

Step-by-step explanation:

So we know that for 12 rock cakes we need 225g flour and 75g sugar to get 42 rock cakes we need to multiply the number of ingredients by 3.5 (42/12 =3.5)

This gets us 787.5 g flour and 262.5 g sugar.

Show work:

[tex]42 \div 12 = 3.5[/tex]

[tex]225 \times 3.5 = 787.5[/tex]

[tex]75 \times 3.5 = 262.5 [/tex]

[tex]787.5 < 800[/tex]

[tex]262.5 < 300[/tex]

Nishat has enough flour and sugar to make 42 rock cakes.

find the gif of the terms of the polynomial. 52x^8 + 12x^3

Answers

Answer:

The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.

Step-by-step explanation:

Sarah works ar a shoe store. She earns a base salary of $1,500 per month, plus a 25% commission on the amount of shoe sales she makes druing the month. If Sarah's goal is to earn $2,000 a month, what is the amount of shoe sales that she must make in a month?

Answers

Answer:

Step-by-step explanation:

goal is 2,000 and she already makes 1,500

2,000-1,500 gives you the amount she needs to earn from shoe sales

she needs to earn 500 dollars with a 25% commision

25% can also be written as 25/100

for every $100 she makes, she gets $25 but she needs $500

100:25

we need the second number in the ratio to equal $500

500 divided by 25 is 20

20 x 100 : 25 x 20

2000: 500

ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer


Find the slope and the y-intercept of the line.
6x+2y=-2

Answers

Answer:

Slope: -3

Y Intercept: (0,-1)

Step-by-step explanation:

Answer:

slope -3

y = 0,-1

Step-by-step explanation:

Need help will mark brainliest

Answers

Answer:

A. 127º

Step-by-step explanation:

So we already know that the inside of a triangle is equal to 180º. We already have two of the angles so we can start by adding those together.

75 + 52 = 127

180 - 127 = 53

m∠A = 53º

Now, we also know that a straight line is equal to 180º so all we have to do now is subtract 53 from 180 to get the measure of ∠BAD

180 - 53 = 127

please help me I am very confused.

Answers

Answer: D

Step-by-step explanation:

Aubrey wants to save money to purchase a new bicycle that costs $275. If she saves $5 per week, how many weeks will it take Aubrey to have enough money to purchase the bicycle?

Answers

55 semanas, porque si tomas los $275 y los dividís en  $5 te da 55,lo que serian las semanas

soy de Argentina,salu2  C':

Answer:

55

Step-by-step explanation:

Set up an equation first like this,

5x=275

you would set it up like this because she needs $275 and she saves her money for a _____ amount of weeks that's why I said x, we want to know the number of weeks.  So you would divide 275 by 5 and you get 55. So she will need to save up for 55 weeks.

Simplify the radical √75 and explain how you got the answer :) please!

Answers

Answer:

8.6

Step-by-step explanation:

What is the volume of the square pyramid? Round to the nearest hundredth, if needed.
5 in.
9 in.
9 in
0405 in 3
135 in. 3
675 in 3
75 in. 3

Answers

Umm I think 0405 in 3?????

Answer:

The answer is 135 in 3.

Step-by-step explanation:

To find the volume of a square pyramid, first you need to find the base and height. In this case,

a = 9

h = 5

Now we use the formula (1/3 a^2 h) To find the volume.

I will use )( To show numbers being multiplied, example: 3)(4 = 12

=1/3)(9 cm^2)(5 cm

=1/3)(81 cm)( 5 cm

= 135 in. 3

A factory makes Jars in batches of 160 and lids in batches of 216. The next puts the jars in a row, fills them and then attaches the lid. They want to make the largest row possible so the jars and lids are divided evenly by the rows. What is the largest row possible?

Answers

Answer:

8 is the largest row possible

Step-by-step explanation:

What this question is simply asking is to find the greatest common factor of 216 and 160

The greatest common factor of 216 and 160 is 8

So what this mean is that the largest row possible is 8

Please Help Me with this Step by step:
12-(3x+13)=0

Answers

Distributive property
12-3x-13 = 0
Combine like terms
-1-3x = 0
-3x = 1
Divide by -3
x = -1/3

find the slope of the graph

Answers

Answer:

D

Step-by-step explanation:

M= -1/2
Using rise over run
:)

GIVING BRAINLIEST!!

Graph the solution of 2x + 3 <3.

Answers

Answer:

Open dot to the left. Dot on zero.

Step-by-step explanation:

Answer:

I hope this helps!

You help out at the bowling alley on weekends. One of the arcade games has a bin filled
with stuffed animals. A robotic arm randomly grabs a stuffed animal as a prize for the
player. You are in charge of filling the bin.
You are told that the probability of getting a stuffed giraffe today is 0.4. If there are 28
giraffes in the bin, what is the total number of stuffed animals in the bin?

Answers

Answer:

28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator

check 70*0.4=28

Step-by-step explanation:

Calculate the are of fabric that will be used?​

Answers

Answer:

1582,6 cm²

Step-by-step explanation:

⬆ There I wrote for 1 fan, so for two fans

We first find the perimeter of the circle. Then find the center angle by comparing the perimeter of the section. Then use logic to reduce the area of large circles by the area of small circles

Sorry, I am Indonesian I use a translator, hope it helps

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

DETAIL ANSWERS

SUBJECT : MATHEMATICS

CLASS : JHS

CODE : 2

CODE CATEGORY : 8.2

#ComeOnLearning

What transformations were applied to ABCD to obtain A'B'C'D?

Answers

Answer:

Rotate 90 degrees counterclockwise then translate 2 units up.

Step-by-step explanation:

I just took a quiz on a p e x and it was correct! :)

Answer:

roatae 90 degrees conter clockwise about the origin and then go to units up

Step-by-step explanation:

this is about angle pairs

Answers

72 is corresponding angle to 4.
Angle 4 is vertical to angle 3, so 3 is 72.

All straight lines are 180. 180-72=108. So angle 2 is 108. Angle 5 is vertical to angle 2 so it’s 108 as well. angle 2 is corresponding to angle 1 so it’s also 108.

Which figure has the largest shaded region?

Answers

Answer:

is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Both the others have 3/4 shaded c has less

complete the table of values for y=x3+x2-6x

Answers

Answer:

y= x ^3 - 4x

Step-by-step explanation:

Regroup terms.

y=x^3 +2x−6x

Simplify x^3 +2x−6x  to x^3 −4x.

AAAAANNNNNnnNNND the answer  is

y= x^3 - 4x

IN GRAPH

PLEASE HELP
classify triangles

Answers

Answer:

I'm pretty sure its obtuse triangle

What is the binary number for 22​

Answers

Answer:

I believe it is 10110

Step-by-step explanation:

hope this helps

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