Three consecutive integers add up to 51. The integers are *
16,17,18
15,16,17
17,18,19
18,19,20

Answers

Answer 1

Answer:

1st option

Step-by-step explanation:

let the three consecutive integers be n , n + 1 , n + 2 , then adding gives

n + n + 1 + n + 2 = 51, simplifying

3n + 3 = 51 ( subtract 3 from both sides )

3n = 48 ( divide both sides by 3 )

n = 16

n + 1 = 16 + 1 = 17

n + 2 = 16 + 2 = 18

The 3 consecutive integers are 16, 17, 18


Related Questions

which expression is equivalent to the given expression after using the distributive property? 9 + 5 + 7x² + 3x²y + 2x²​

Answers

Answer:

9 and 5 I guess enjoy.

.

Step-by-step explanation:

and yeah no explanation

Which fraction is equivalent to 0.52121212121....?

Answers

Answer:

516/990=0.52121212121212

Step-by-step explanation:

so b is the answer

abc is a right angled triangle.
ac=14cm
angle c=90 degrees.
size of angle b:size of angle a=3:2
work out the length of ab

Answers

Answer:

67

Step-by-step explanation:

Mamadou has a points card for a movie theater.
He receives 55 rewards points just for signing up.
He earns 7.5 points for each visit to the movie theater.
He needs at least 100 points for a free movie ticket.

Write and solve an inequality which can be used to determine
v
v, the number of visits Mamadou can make to earn his first free movie ticket.

Answers

Answer:

Inequality: 7.5v+55≥100

Answer: v≥6

Step-by-step explanation:

Have a good day :)

The inequality for the given situation is 7.5v+55≤100.

Given that, Mamadou receives 55 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs at least 100 points for a free movie ticket.

What is an inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The number of visits Mamadou can make to earn his first free movie ticket is v.

The inequality for the given situation is 7.5v+55≤100

Subtract 55 on both the sides of inequality.

That is, 7.5v+55-55≤100-55

⇒ 7.5v≤45

⇒ v=45/7.5

⇒ v=6

Therefore, the inequality for the given situation is 7.5v+55≤100.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ5

The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222

Answers

Answer:

its the yoyo

Step-by-step explanation:

it was right on the khawn acdemy thing.

PLS HELP DUE IN 1 HOUR

write the expression using positive exponents
1/3^-5

Answers

Answer:   3^5

Explanation:

The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]

That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.

So,

[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]

The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office.

Pamela can expect to see ___ red cars and___ green cars on her way to office.

Answers

The expected value of a dataset is the mean of the dataset.

The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.

Expected value is calculated as:

[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]

For the red cars, we have:

[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]

[tex]\mathbf{Red = 0.97}[/tex]

Approximate

[tex]\mathbf{Red = 1}[/tex]

For the green cars, we have:

[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]

[tex]\mathbf{Green= 1.18}[/tex]

Approximate

[tex]\mathbf{Green= 1}[/tex]

Hence, the expected values of red and green is 1.

Read more about expected values at:

https://brainly.com/question/22097128

Lance wrote down a lot of plus sevens and minus fours. Altogether he wrote 22 digits. When he came to add them all up the total was zero. How many plus sevens were there?

Answers

So, when solving this: you’ll want to consider multiples of 7 and 4.

7,14,21,28
4,8,12,16,20,24,28

If you write four +7’s and seven -4’s, they cancel out. Given that that is 11 digits, do it twice and you have your answer.

Eight +7’s
Fourteen -4’s

Please actually help, and don't say random words to get the points​

Answers

Answer: X=3 Y=2

Step-by-step explanation: just looked it up

a red die is tosses and then a green die is tossed. what is the probability that the red die shows a six and the green die shows six?

Answers

1/12 chance I believe

I have this problem on my test. Do I divide by 8 or 2 first to solve for x?

Toby's cup can hold 8 times as many ounces of water as Terry's. Together, the cups hold 22 ounces of water.

Answers

Answer: Divide both sides of the equation by 9, actually!

Explanation:
x = amount that Terry’s cup can hold
8x = amount that Toby’s cup can hold

Equation:
x + 8x = 22
9x = 22

what is 50x9 pls help​

Answers

Answer: 450

Step-by-step explanation:

say you remove the 0 out of 50, so you have 5 x 9. 5 x 9 = 45. Take the 0 you took out earlier, than add it to the end of 45, there's your answer. 450

Step-by-step explanation:

Multiply:

50×9

⇛25 + 25 × 5 + 4

⇛50 + 9

⇛450 Ans.

Moesha has 3 dresses, 2 hats, and 5 pairs of shoes. She will choose an outfit that has one dress, one hat, and one pair of shoes. How many different outfits are possible? PLEASE HElPPPPPPPPPPPPPPPPP

Answers

Answer: 30  You're welcome (:

Dont get this, please help

Answers

Answer:

1. Enlarge, Shrink

2. Smaller

3. Bigger

Step-by-step explanation:

Dilation is something expanding or shrinking, like how your eyes dilate.

Simply think of the scale factor as what you are multiplying the entire figure by. If you are multiplying it by let's say 2, it would double in size, thus getting larger. If you were to multiply it by 1/2, then it would decrease, or shrink, to half its original size.

Answer:

1: enlarge, shrink

2: smaller

3: bigger

Hope this helps! SO sorry if incorrect!!!!!!

The graph of a function is shown on the grid.
Which ordered pair best represents the location of the y-intercept?

Answers

Answer:

y-intercept = (0, -2)

Step-by-step explanation:

The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at your graph, it shows that the line crosses at point (0, -2).

Therefore, the correct answer is (0, -2).

A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm

Answers

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

The human hair is 40,000 nanometers wide.

Option D is the correct answer.

Given,

A human hair is approximately 40 microns (um) wide.

1 um is equal to [tex]10^{-6}[/tex] meters (m)

1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.

We need to find how many nanometers wide is human hair.

How do we add exponents?

We can add the exponents if we have the same base.

Example:

a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]

[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]

We have,

Human hair = 40 microns (um) wide.

And,

1 um = [tex]10^{-6}[/tex] m

1 nm = [tex]10^{-9}[/tex] m

[tex]10^{-9}[/tex] m = 1 nm

Multiplying by 10³ on both sides.

[tex]10^{-9}[/tex] x 10³ = 10³ nm

[tex]10^{(-9+3)}[/tex] = 10³ nm

[tex]10^{-6}[/tex] m = 10³ nm

1 um = [tex]10^{-6}[/tex]m

1 um = 10³ nm

Human hair = 40 um

1 um = 10³ nm

Multiplying 40 on both sides.

40 x 1 um = 40 x 10³ nm

40 um = 40 x 1000 nm

40 um = 40,000 nm

Thus human hair is 40,000 nanometers wide.

Learn more about the conversion of microns to nanometers here:

https://brainly.com/question/14663277

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Please answer this ASAP

Answers

Step-by-step explanation:

It's B.You want a explaination ???



An ant moves at 14 cm a min. How many minutes will it take him to travel 10 points
364 cm? What is the time ? (Write your answer in "t=" form)

Answers

Answer:

26 minutes/ t=26

Step-by-step explanation:

F) c=14t

S) 364=14t

E) t=26

Ajar contains 16 beads. 4 beads are red, 4 are yellow, 5 are green, and 3 are blue.
Which is the probability of picking a blue bead?

Answers

Answer:

3/16

Total no.of beads = 16

No.of blue beads = 3

Probability of picking a blue bead = 3/16

Step-by-step explanation:

Hope this helps

can i get braineist pls

Do the ratios 2/1 and 18/10 form a proportion?

Answers

Answer:

2

9/5

Step-by-step explanation:

2/1 = 2

18/10 (divide by 2 up and down) = 9/5

Find the EQUATION of the line through (-10,-12) and (-15,3). Use the form y=mx+b.​

Answers

Refer to the attachment

Only an answer please please

Answers

Answer: 41

Step-by-step explanation: r= 3c+ 5

3 (12) +5     36+5= 41

Answer:

B 35

Step-by-step explanation:

the value goes up by six in each box

7 find the missing length

Answers

Answer:

8km

Step-by-step explanation:

it is 8km because it is not that much bigger than 6km

Answer:

C) 8 km

Step-by-step explanation:

x is another leg next to 6.

10 is the hypotenuse.

a^2 + b^2 = c^2

a & b are legs and c is the hypotenuse.

x^2 + 6^2 = 10^2

x^2 + 36 = 100

x^2 = 100 - 36

x^2 = 64

√x^2 = √64

x = 8

P.S It may look just slightly different, but your teacher or the program did not make it up to scale.

Hope This Helps! •v•

Is the table a linear function?
Yes or no

Answers

yes it is a linear function

21
Determine which equations are in standard form.
A 6x-7y=8
B y = 2x + 6
1
с
52 + 2y = 3
=
D
4x - 11y =-7
E - 3x + 5y = 12
-

Answers

The standard form of linear equations is Ax + By = C where A and B ≠ 0, and A is non-negative.

Therefore, the correct answer is A) 6x - 7y = 8

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

Answers

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

The area is given as:

[tex]\mathbf{Area = a^3 - 125}[/tex]

Express 125 as 5^3

[tex]\mathbf{Area = a^3 - 5^3}[/tex]

Apply difference of cubes

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]

The area of a rectangle is:

[tex]\mathbf{Area = Length \times Width}[/tex]

So, by comparison:

[tex]\mathbf{Length = a -5}[/tex]

[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

Read more about areas at:

https://brainly.com/question/3518080

A=?

b=?

C =?

Can someone tell me the answer please

Answers

Answer:

Below.

Step-by-step explanation:

a = 37 degrees ( vertical angle to 37 )

c = 180 - 37 = 143 degrees (adjacent angles add up to 180).

b = 180 - 37 - 109 = 34 degrees   (angles in a triangle sum to 180 degrees).

a = 37 degrees

c = 180 - 37 = 143 degrees.

b = 180 - 37 - 109 = 34 degrees

Mike has 7 friends. Each friend has 109 baseball cards. How many cards do they have in all?

They have _______ baseball cards.

Answers

Answer:

They have 763 baseball cards in total

Step-by-step explanation:

7×109=763

Answer:

They have 763 baseball cards in total (BRANILIST PLEASE!!!!)

Step-by-step explanation:

You just multiply the number of friends with the number of cards each person has.

Is the statement “The absolute value of a number is always greater than its opposite” true?

Answers

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

please help asap, this is for a math project! (ill give brainliest)
Write 7/571 as a mixed number!

Answers

Answer:

7

Step-by-step explanation:

jh

Answer:

7+32/77

Step-by-step explanation:

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