A set of 5 consecutive integers sums to 10. What are the integers?

Answers

Answer 1

Answer:

Let x be the smallest integer (the first integer)

1st: x, 2nd: x + 1, 3rd: x + 2, 4th: x + 3, 5th: x + 4

Hence,

x +  x + 1 + x + 2 + x + 3 + x + 4 = 10

5x + 10 = 10

5x = 0

x = 0

Therefore, the answers are

0, 1, 2, 3, 4

Step-by-step explanation:

Integers include all positive integers, negative integers and 0.

0 is an integer but it is neither positive nor negative.


Related Questions

Simplify: 3 + 2s - 4 + 3s

Answers

Answer:

-1 + 5s

Explanation:

3 - 4 = -1

2s + 3s = 5s

Answer:

5 − 1

Step-by-step explanation:

is 5.6213 rational or irrational

Answers

Answer:

rational number

Step-by-step explanation:

5.6213 is the rational number

What is 6 - 2 over 3 (x + 5) = 4x algebraically

Answers

Answer: x = 4/7

Explanation and steps is in the image below.

The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

What is the equation?

The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

6 - 2(x + 5)/3 = 4x

Apply the distributive property of multiplication,

6 - (2x + 10)/3 = 4x

(2x + 10)/3 + 4x = 6

2x/3 + 10/3 + 4x = 6

2x/3 + 4x = 6 - 10/3

Take the LCM in the above equation,

14x/3 = 8/3

14x = 8

x = 8 / 14

x = 4 /7

Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

Learn more about equations here:

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a triangle has side lengths 6,11 and 14. Is it acute, obtuse or right

Answers

Answer:

acute

Step-by-step explanation:

sorry if im wrong how I did it is on a paper or create a picture in your mind have a good night if you have a question please ask away in the comments

This triangle is obtuse.

What is right triangle?

Triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let a = 6 ,b = 11 & c = 14 be the sides of a traingle, c being longest of three

If a²+b²=c² it is right angled,

If a²+b²>c² it is acute,

If a²+b²<c² it is abtuse,

Substitue the values of a, b and c,

a²+b²= 6²+11² = 157

c² = 14² = 196

Since a²+b²<c²

Hence, this triangle is obtuse.

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What is the domain of f(x)?
What is the domain of g(x)?

Answers

Step-by-step explanation:

Domain is the range of x-values for the function to be defined.

Domain of f(x) = [2,9]

Domain of g(x) = [2,9]


Paula baked 36 cookies with 6 scoops of flour. With 8 scoops of flour, how many cookies can Paula
bake?

Answers

Answer:

36/6 = 6 cookies per scoop

6*8= 48 cookies

Step-by-step explanation:

On the graph, the line representing Xena’s rate is less steep steeper than the line representing Steve’s ?

Answers

Steeper, Xena, and More

Answer:

The steepness shows how much the variables on the graph has changed and their rates.

the equation r=3cos(6theta) represents a rose curve. how many petals does the graph contain? ​

Answers

Answer: C, 12

Step-by-step explanation:

Got it correct on edge

Answer:

C: 12

Step-by-step explanation:

Took the quiz

PLZ HELP FAST :(
Expression A: 3(x+2)
Expression B: 3x+6
Which statement does not show that these expressions are equivalent?
A. Substituting any value of x makes the expression equivalent.
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
C. The expressions name the same number regardless of the value of x.
D. Both expressions inolve addition

Answers

Answer:

i would say it was either A or C

Answer:

B. 3(x+2) can be rewritten as 3x+6 using the distributive property.

Step-by-step explanation:

When you distribute 3 into x and 2 you get the equation 3x+6 (3x and 3(2)) which makes the expressions equivalent.

Bethany and Aidan each have candy bars that are the same size and shape. Bethany's candy bar is marked so that it can be broken into equal parts. Aidan's candy bar is marked to that it can be broken into equal parts. Bethany ate pieces of her candy bar. Aidan also ate pieces of his candy. What is this problem about?

Answers

Answer:

Step-by-step explanation:

This problem is most likely about what percentage of the candy does each individual have left. Since the phrase is explaining that each ones candy bar is the same size and can be broken into equally divided pieces then it is most likely about figuring out which one of the individual's has more candy left over when compared to the other's candy. This is possible since both candies are the same size but more information would be needed.

Ms Louis deposited the same amount of money each month into her bank
account. The table below shows the total amount of money, a, she
deposited into the account after a certain number of months, t. since
opening it. Which equation models the relationship between a and t?

Answers

Answer:

last one 250t

Step-by-step explanation:

if u pluged in 4 for t to the equation u would get 1000 which is the correct amount

hope this helped!

Answer:

a = 250t or Answer D

Step-by-step explanation:

Y = mx+b

m = (y2-y1)/(x2-x1)

m = (2500-100)/(10-4)

m = 1500/6 = 250

y = 250x+0

y = 250x

What is the slope of the line?​

Answers

Answer:

1

Step-by-step explanation:

Answer:

it is x

Step-by-step explanation:

Translate the inequality and solve. Three times a number is less than or equal to six.​

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.

PLEASE HELP WITH THIS WILL GIVE BRAINLIEST

Answers

11am - 2pm hope this helps(:

Answer:

11 am to 2 pm

Step-by-step explanation:

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

Answers

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce

Answer:

The greatest number of bags Cesar can make is 16 bags.

Each bag would have 2 pasta and 3 of jars of sauce

Step-by-step explanation:

We solve the above question using Greatest Common Factor method

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 16.

Hence, the greatest number of bags Cesar can make is 16 bags.

For Pasta, We have 32 pasta

Each bag would have: 32/16

= 2 pasta

For Jars of sauce, we have 48 jars of sauce.= 48/16

= 3 jars of sauce

Options are:
a. (3, 0)
b. (0, 3)
c. (0, -2)
d. (- 2,0)
I’ll give you brainlest if you answer this question correctly!

Answers

X intercept is when y = 0
In other terms (x,0)

You can see on the graph where the line meets the x intercept at (3,0)

Solution: a. (3,0)

Scientists are preparing two satellites to be launched. The equation y=8200xy=8200x represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours. How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?

Answers

Answer:

It flies 380 miles fewer

Step-by-step explanation:

The correct question is as follows;

Scientists are preparing two satellites to be launched. The equation y=820x represents the number of miles, y, that the satellite, Space Explorer B, flies in x hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours. How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?

Solution;

For explorer B

The equation is;

y = 8200x

This mean that in 1 hour, it flies 820 miles

For explorer A

28,800 miles in 24 hours

In one hour, we have 28,800/24 = 1,200 miles

The number of fewer miles that explorer A travels will be ;

1200 miles - 820 miles = 380 miles fewer

Answer:

wrong

Step-by-step explanation:

A rectangle and an equilateral triangle have the same perimeter. The perimeter of the rectangle is 6 ( 1 2 x + 5 ) inches. The perimeter of the triangle is 4 ( x − 2 ) inches. What is the perimeter of each figure?

Answers

Answer:

-328/34

Step-by-step explanation:

Here,

Perimeter of rectangle = 6(12x+5)

Perimeter of equilateral triangle = 4(x-2)

Since they are equal, 6(12x+5) = 4(x-2)

or, 72x + 30 = 4x - 8

or, 68x = -38

or, x= -38/68 or -19/34

Now,

Area of triangle ( or rectangle whichever you prefer)

= 4* -19/34 - 8

= -76/34 - 8

= - 328/34

13 less than two-thirds of a number

Answers

Answer:  2/3x-13

Step-by-step explanation:

HELP FAST!!!!!!
Which shows two products that both result in negative values?
(-2.4)(1.8) and (-0.6)(-0.4)
(-2.4)(-1.8) and (-0.6)(-0.4)
(2.4)(–1.8) and (0.6K 0.4)
(2.4)(-1.8) and (-0.6)(-0.4)

Answers

Answer:

the answer is c aka (2.4)(–1.8) and (0.6)(–0.4)

Step-by-step explanation: i got it right on the test edge 2021

Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for
two quarts of apple cider, three teaspoons of cinnamon, and one pint of lemon-lime soda. This will
make enough for eight people to share. In my neighborhood, however, there are 72 people. How much
do I need of each ingredient to make enough for my whole neighborhood to share?

Answers

Answer and Step-by-step explanation:

72 people total, recipe makes for 8 people

so have to make it how many times? 72/8 = 9 times

apple cider

2 quarts * 9 = 18 quarts of apple cider

cinnamon

3 teaspoons * 9 = 27 teaspoons of cinnamon

lemon-lime soda

1 pint * 9 = 9 pints of lemon-lime soda

please give thanks by clicking the heart button :)

Answer:

the one who answered is true

Sophie Ruth is eating a 505050-gram chocolate bar which contains 30\%30%30, percent cocoa.

Answers

Answer:

60%

Step-by-step explanation:

she probably eats almost 60% of the cocoa contained in the chocolate. which is high and would increase the caffeine levels in her body

1 2/3 yards of chain cost 9.00.
How much money for 1 yard

Answers

Alright nevermind, imma delete this answer.

Answer: $5.40

Step-by-step explanation:

1 and 2/3 yards costs $9

5/3 yards costs $9 <--- changes 1 and 2/3 to improper

5 * 1/3 yards costs $9 <---- 5/3 = 5 * 1/3

1/3 yard costs $9/5 = $1.80 <--- divides the ratio by 5

1 yard costs $1.80 * 3 = $5.40

.2

Simplify the expression

-9 + 2.5y - 0.7y + 1 + 6.4y^2

Answers

Answer:

6.4y^(2)+1.8y-8

Step-by-step explanation:

got it right edge 2020

what is y equal to 2x + 4y = -18

Answers

Answer:    y = (-1/2)x - 9/2

Slope = -1/2

Y intercept = -9/2

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

Work Shown:

2x + 4y = -18

2(x+2y) = -18 .... factor out 2

x+2y = -18/2 .... divide both sides by 2

x+2y = -9

2y = -9-x .... subtract x from both sides

2y = -x-9

y = (-x-9)/2 ... divide both sides by 2

y = (-x/2) - (9/2) ... break up the fraction

y = (-1/2)x - 9/2

The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.

Answer:

Step-by-step explanation:

2x + 4y = -18

2(x+2y) = -18 .... factor out 2

x+2y = -18/2 .... divide both sides by 2

x+2y = -9

2y = -9-x .... subtract x from both sides

2y = -x-9

y = (-x-9)/2 ... divide both sides by 2

y = (-x/2) - (9/2) ... break up the fraction

y = (-1/2)x - 9/2

The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.

Lucas took his bike to a local park to ride on some bike trail.Trail A is 6 3/4 miles long.Trail B is 8 1/2 miles long. How many miles long is Trail B then Trail A

Answers

Answer: Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.

Step-by-step explanation:

Length of Trail A = [tex]6\dfrac34[/tex] miles

= [tex]\dfrac{24+3}{4}[/tex]  miles = [tex]\dfrac{27}{4}[/tex] miles.

Length of Trail B = [tex]8\dfrac12[/tex] miles

= [tex]\dfrac{16+1}{2}[/tex] miles = [tex]\dfrac{17}{2}[/tex] miles.

Trial B is longer then Trail A by [tex]\dfrac{17}{2}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{34}{4}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{7}{4}[/tex] miles

[tex]=1\dfrac{3}{4}[/tex] miles

Hence, Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.

please help!! will mark brainliest

Answers

Answer:

I think it is the last one .

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

10 is the correct answer because the half of 24 is 12 -2 =10 is the answer

Which table shows a proportional relationship between x and y?

Answers

Its the first answer because 7 divided by 1 = 7, 14 divided 2= 7, 28 divded 4 = 7

35 divided by 5 equals to 7

Its constant the number stays the same

Monique has 19 pieces of candy. She wants to give an equal number of pieces of candy to her 6 friends. How many pieces of candy will each friend get? Write your answer as a mixed number.

Answers

Answer:

3 1/6

Step-by-step explanation:

Answer:

3 1/6

Step-by-step explanation:

19/6= 3.1666666666666 also known as 3 1/6

check your work by multiplying 3 1/6 by 6 and get 19

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