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The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
(x minus 1) + x + (x + 1) = 42
(x minus 2) + x + (x + 2) = 42
x + 2 x + 3 x = 42

Answers

Answer 1

Answer:

x+(x+1)+(x+2)=42

(x minus 1)+x +(x+1)=42

Step-by-step explanation:

to find the smaller number and to find the middle number

I hope this help you


Related Questions

Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 18.6 liters of water came out?

Answers

Answer:

It was on for 12.4 minutes

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

rate of water = 1.5x

x = amount of time

18.6 = 1.5x

x = 12.4

A polygon is shown on the graph:

A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.

What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.

Answers

9514 1404 393

Answer:

  angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.

Step-by-step explanation:

The proposed transformation is ...

  (x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down

Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.

__

The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.

Answer: goood answer

Step-by-step explanation:

Find the value of a that satisfies the following

P(Z>a)=0.9207

Answers

Answer:

-1.409

Step-by-step explanation:

I’m assuming this a z-score for stats. You would just go into your calculator, in my case a Casio. Then, you’d press on the stats module, click F5 (DIST), F1 (NORM), F3 (InvN). You would change the data to variable, then put in tail right, area .9207, SD 1, mean of 0. Then hit execute and you’ll get the answer of -1.4097958. Round it if needed.

Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they
meet in 5 hours, what is the rate of the slower car?
Do not do any rounding.

Answers

Answer:

57 kph

Step-by-step explanation:

5x + 5(x-12) = 750

10x = 690

x = 69

Slooow car = 57 kph

What is the domain of y=log 4(x+3)?

Answers

All the real number less than -3. It the first one hope this help

Answer:

Y= log 4(x+3)

then you should do (x+3)= 3x= log 4.

Step-by-step explanation: Sorry I'm not 100 % sure so yeah

But let's see 3x  =  log 4

oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.

So now I think it's C). All real numbers are les than 3.

Sorry I ain’t know why it look like that buh can someone help asap

Answers

Answer:

[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]

Please explain why 31% is the answer

Answers

9514 1404 393

Answer:

  b)  31%

Step-by-step explanation:

95% of the normal distribution is between Z values of ±1.96.

99% of the normal distribution is between Z values of ±2.576.

The change from a 95% interval to a 99% interval widens the range by ...

  (2.576/1.96 -1) × 100% ≈ 31.4%

The width of the interval increases about 31%.

__

Compare the two attachments. The tail area of 0.05 means the central area is 0.95. Similarly, the tail area of 0.01 means the central area is 0.99.

_____

Additional comment

As always, when you're dealing with percentages, you need to understand what the base value is. Here, when we're talking about 95% and 99% confidence intervals, we're not talking about the numbers 0.95 and 0.99 and the increase from 0.95 to 0.99.

Rather we're talking about areas under the normal probability distribution curve, and the Z-values associated with those intervals. The change in interval width refers to the change in Z-values associated with the areas of 0.95 and 0.99.

Writing Describe another method
for solving the expression in
Exercise 1. Does this method always
work? Explain.

Answers

Answer: pontos livres

Step-by-step explanation:

o cachorrinho wwss veyry rápido

A model of a population of a small country is ​35,000(1.03)^x. Find the current population if x equals four years since the last census.

Answers

Based on the model of the population and the amount of years that have passed, the current population is 39,393 people.

The model of the population is:

= 35,000 x (1.03)^ x

If x is 4 years, slot this into the model to get:

= 35,000 x 1.03⁴

= 35,000 x 1.12550881

= 39,393 people

In conclusion, the current population is 39,393 people.

Find out more at https://brainly.com/question/1232096.

If this is the graph of f(x)= a(x+h) +k, then:

Answers

Answer:

The forth one as both are positive  the domain  =  x ascending = + h and the range = y  where y = k the vortex and both include infinity

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Apie

Solve for X in the questions​

Answers

Step-by-step explanation:

x = 360°- (90°+36°+36°)

= 360 - (162°)

= 198°

>> Answer

___________

[tex] \: [/tex]

Step by step :

PQR = 360°

QR = 90°

PQ = 36°

RX = 36°

Soo :

x = 360° - (90° + 36° × 2)

x = 360° - (90° + 72°)

x = 360° - (162)

x = 198°

What are the two cases for 丨4x - 1丨= 19?

Answers

Answer:

Step-by-step explanation:

x = 5

Answer:

x=5 and -17/4

Step-by-step explanation:

The two equations for 丨4x - 1丨= 19 is

4x-1=19

and

4x-1=-19

So for 4x-1=19

4x=20

x=5

4x-1=-18

4x=-17

x=17/4

Hope this helps!

f(x) = 2x + 1
Graph 2f(x) - 3

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  2

x- intercept [tex](-\frac{1}{2}),0[/tex]

y-intercept:  ( 0 , 1 )

Graph in pic

(Credit: M a t h w a y

jim dog eats 11/3 bones in five days how many bones will the dog eat in 12 days

Answers

Answer:

The answer would be 44

Step-by-step explanation:

First, you have to simplify the improper fraction, that would make the it a mixed number which would be 3 2/3. When 3 2/3 is multiplied by 12 is 44. Hope this helps!

Solve for n.
ples help me solv for n

Answers

Answer: 50 miles per hour

Step-by-step explanation: It is that because when the line passes on the one hour mark it is 50.

The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which equation represents this situation?

Answers

The question requires calculating the perimeter of the rectangular r ug

The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches

Given:

let

length of the rectangular r ug = x inches

Width of a rectangular r ug = (2x + 4 1/4) inches

Perimeter of the r ug = 56 1/2 inches

Perimeter of the r ug = 2(length + width)

56 1/2 = 2{x + (2x + 4 1/4)

113/2 = 2(x + 2x + 17/4)

113/2 = 2(3x + 17/4)

113/2 = 6x + 34/4

113/2 - 34/4 = 6x

(226-34) / 4 = 6x

192/4 = 6x

48 = 6x

divide both sides by 6

x = 48/6

x = 8 inches

So,

length of the rectangular r ug = x inches

= 8 inches

Width of a rectangular r ug = (2x + 4 1/4) inches

= 2(8) + 4 1/4

= 16 + 4 1/4

= 20 1/4 inches

Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches

Read more:

https://brainly.com/question/10452031

A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1

Answers

Answer:

3

Step-by-step explanation:

27300 * (1-6.1%)^n = 22100,

n∈(3,4)

when n = 3,≈22603;

when n = 4,≈21224;

so choose n = 3.

Therefore, it takes  car to depreciate to this amount is [tex]3[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].

So, the equation is

[tex]27300(1-6.1)^n=22100\\\\[/tex]

when [tex]n[/tex] belongs to [tex](3,4)[/tex]

when [tex]n=3\\[/tex]

The equation would be

[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]

When

[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]

So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].

Hence, it takes  car to depreciate to this amount is [tex]3[/tex].

To know more about the simplification

https://brainly.com/question/12795317

#SPJ2

Help help please please

Answers

Answer:

165km

Step-by-step explanation:

if 1cm on the map = 15km,

then since 11cm is 11x 1, we multiply the kilometers by 11, getting 165km.

The. Problem I in the picture

Answers

Answer:

can't see it clearly sorry about that

6 miles in 2 hours how fast you go

Answers

Speed is presented as miles per hour (mph) or kilometres per hour (kmph). To take the above example: You walk 6 miles in 2 hours. 60/20 = 3mph.

Answer: 3mph
You would be going 3mph

PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT ​

Answers

Answer:

c hope this helps

Step-by-step explanation:

Answer:

The correct answer should be C.

The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering​ purposes, they will count each of these​ 45 "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with ​drop-in guests?

Answers

Answer:

667

Step-by-step explanation:

Answer:

It will be

1. 3

2.2

3.5

Step-by-step explanation:

HOpe this helps!

Please help!

Triangle ABC has angle measures as shown. Show work. Complete sentence.




(a) What is the value of x?








(b) What is the measure of angle CBA?




(c) What is the measure of angle CAB?




(d) When these 3 interior angles of a triangle are added together, what does it equal?

Answers

9514 1404 393

Answer:

  (a) x = 22

  (b) 46°

  (c) 44°

  (d) 180°

Step-by-step explanation:

Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.

(a)

The sum of the marked acute angles is 90°.

  2x +(3x -20) = 90

  5x = 110 . . . . . . . . . . add 20, collect terms

  x = 22 . . . . . . . . . divide by 5

__

(b)

∠CBA = (3x -20)° = (3·22 -20)° = 46°

__

(c)

∠CAB = 2x° = 2(22)° = 44°

__

(d)

The sum of a triangle's interior angles is 180°.

Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?​

Answers

Sea star tuna is a better bargain for 82 cents a can. Oceans best tuna is 94 cents a can.

CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT, I’D BE SO THANKFUL

Answers

Please help me with my questions

if x =6 + y and 4x = 3 -2y, then x=

Answers

Answer:

x = 5/2 or 2.5

Step-by-step explanation:

I solved this using simultaneous equations or system of equations

You times (1) by 2 so that the y's are the same

You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them

Three consecutive integers have a sum of 45. Find the integers.

Answers

Answer:

14,15,16

Step-by-step explanation:

Call n the first integer so you get:

n+(n+1)+(n+2)=45

3n+3=45

3n=42

n=14

The integers are:

14,15,16

Answer:

14,15,16

Step-by-step explanation:

Let the integers be x, (x+1),(x+2)

So,

x+(x+1)+(x+2)=45

x+x+1+x+2=45

3x+3=45

3x=45-3

x= 42/3

x=14

Now put the value.

x= 14(x+1)= 14+1= 15(x+2)=14+2= 16

Now, Add these integers

you'll get

14+15+16=45

100min to 2h as a ratio

Answers

Answer:

100:2

Step-by-step explanation:

Mikel creates the table below to help her determine 40% of 70.


40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14

She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.

Answers

Answer:

D i did the test

Step-by-step explanation:

Answer:

D: she need change 0.2 to 2

Step-by-step explanation:

70 divide 20% = 14

40% divide 20% = 2

When you divide two fractions is the quotient always smaller than the dividend?

Answers

A fraction can really look like anything. So the quotient can be sometimes larger than the dividend.

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