There are three consecutive integers. Four times the smallest integer is equal to six more than three times the smallest integer. What is the smallest of the 3 integers?

Answers

Answer 1

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.


Related Questions


Find the slope of the line between the points (1, 4) and (-1,6)

Answers

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = [tex]\frac{6-4}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1

Solve this equation.
5(x+8)-1=20+2(x+8)
using the pen
feature. Show all of
your work.

Answers

Answer:

5(x+8)-1=20+2(x+8)

or, 5x + 40 -1 = 20 + 2x + 16

or, 5x-2x = 20+ 16 -39

3x = -3

x = -1

Step-by-step explanation:

Find the measure of angle C of △ABC, if:
m∠A=60°+α, m∠B=60°−α.

Answers

Answer:

In a triangle, sum of three angles=180°

So, A+B+C=180

C=180-A-B

C=180-60-a-60+a

C=60°

Hope it helps :-)

Somebody plz answer this correct!!
Grade 4math
(Mark as brainliest if correct)

Answers

It would be an approximate answer because you don’t know how long it would actually take to do that task

I mean, it depends how long it will take you to shovel the snow please add more context if I read this wrong below!

(Mark as Brainliest Please)

Step-by-step explanation:

Solve for x.
5/3=x-4/2
Simplify your answer as much as possible.

Answers

Answer:

22

Step-by-step explanation:

5/3=x-4/2

10=x-12

x=22

Answer:

[tex]3 \frac{2}{3}[/tex]

Step-by-step explanation:

5/3 = x - 4/2

5/3 + 4/2 = x

11/3 = x

x = 3 2/3

Alebra 1 - 10pts
Solve for x.

x/4 ≥−8

A. x≤−2

B. x≤−32

C. x≥−32

D. x≥−2

Answers

Answer:

C. x≥−32

Step-by-step explanation:

Multiply both sides by 4

Answer:

C, you have to multiple both sides. Let me know if you need it explained further.

Step-by-step explanation:

Rewrite (x – 3) (x + 5) + (x – 3) (2x – 1) as the product of two binomials.​

Answers

(x - 3)(x + 5) + (x - 3)(2x - 1)

We can factor out (x - 3) since both terms have that in common. Then we simply add together x + 5 and 2x - 1

(x - 3)(3x + 4) is the final answer.

The price of apples can be determined by the equation P = 0.23n, where P is the price and n is
the number of apples. What is the constant of proportionality (unit rate)?

Answers

Answer:

0.23

Step-by-step explanation:

Basically, the unit rate is how much its increasing every time you add on. So if it were 2+2+2 the unit rate would be 2! Hope this helps!

Cole and his friends made a line plot of hours they spend watching TV after school, which is the difference between the greatest amount of time spent watching TV at the least amount time.

Answers

Answer:

what

Step-by-step explanation:

Answer:

i need more intel like numbers

Step-by-step explanation:

HELP ME PLESA IM DESPO PAKJDCD PLS HELP

Answers

Answer:

144 cm²

Step-by-step explanation:

A prism's surface has 2 triangles & 3 rectangles.

In both the triangles , length of :

Perpendicular = 4 cm

Base = 6 cm

So , Area of both triangles = [tex]2(\frac{1}{2} * Base * Perpendicular) = 2(\frac{1}{2}* 6 * 4) = 24 cm^2[/tex]

In the 3 rectangles ,

Length = 8 cm

Width = 5 cm

So , Area of the rectangles = [tex]3( Length * Width) = 3(8 * 5) = 120 cm^2[/tex]

Hence the total surface area of the prism is = 120 + 24 =144 cm²

what is 19.2 x 10^9 minutes in hours ANSWER ASAP PLSS

Answers

Answer:

19200000000

Step-by-step explanation:

1000000000 is 10^9. Then that times 19.2 is 19200000000.

(Hope this helped and have a great day)

(please mark this brainliest)

4x-6=x+9 i need help can someone show the work too please

Answers

Answer:

x = 5

Step-by-step explanation:

instructions in pic :)

4x - 6 = x + 9

4x - 6 - x - 9 = x + 9 - x - 9        [Subtract x + 9 from both sides]

3x - 15 = 0

3x - 15 + 15 = 0 + 15                  [Add 15 to both sides]

3x = 15

3x/3 = 15/3                                [Divide both sides by 3]

x = 5

8x-4y=-4 solve for y

Answers

answer:

y=1+2x

step by step solution:

8x-4y=-4 subtract 8x from both sides

-4y=-4-8x divide by -4 on both sides

y=1+2x

Matthew drove 74 miles in 2 hours. On average,how fast did he drive in hours per mile?

Answers

Answer:

37 mph

Step-by-step explanation:

Step 1:

74 ÷ 2

Answer:

37

Hope This Helps :)

4 Reynaldo paid $41.25 for 5 pizzas. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?

Answers

Answer: Each pizza costed $8.25

Step-by-step explanation:

You have to divide $41.25 / 5 to find the cost of each pizza

Drag an expression or phrase to each box to complete the proof.


It is given that JKLM is a parallelogram, so JM ll KL by the ____


. Therefore, ​∠1​ ≅∠2 by the corresponding angles postulate. Also, it is given that _____ ≅∠3, so ∠1≅ ____by the ____

Answers

JM is parallel to KL by the definition of parallelogram (opposite sides of any parallelogram are parallel)

Therefore, angle 1 = angle 2 by the corresponding angles postulate

We're also given angle 2 = angle 3

So angle 1 = angle 3 by the transitive property of congruence

Multiply (−7)(2)(−2).

Answers

Answer:

28

Step-by-step explanation:

-7 × 2 = -14Plug -14: -14 × -2-14 × -2 = 28

I hope this helps!

Answer:

28!

Step-by-step explanation:

9(8 - x) = 3x
Will mark brainlest!

Answers

Answer: x = 6

Step-by-step explanation:

9(8 - x) = 3x

72 -9x = 3x

add 9x to both sides

72 = 12x

divide 72 by 12

x = 6

Math which one is right? Giving brainlist

Answers

Answer:

Third option.

Step-by-step explanation:

[tex]5-2\left(3x-9\right)=-1[/tex]

Use the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]5-2\times3x-\left(-2\right)\times9=-1[/tex]

Double negative = Positive

[tex]5-6x+18=-1[/tex]

What is 727,356 rounded to the nearest ten thousand

Answers

Answer:

There is no decimal point, therefore, nothing to round.

The answer would be the same since there’s no decimal

bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. write an equation for the relationship using function notation

Answers

Answer:

$2.80x x 50

Step-by-step explanation:

That would be f(x)=2.80x+50.

A sequence starts 1/2,1/4,1/8 follow your to write the next 3 terms in the sequence

Answers

Answer:

1/16, 1/32, and 1/64

Step-by-step explanation:

The denominator is multiplying by 2 while the numerator stays the same.

Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]

[tex]\hrulefill[/tex]

We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:

[tex]\frac{5}{n}[/tex]

Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:

[tex]\frac{5}{n}\bold{-7}[/tex]

Of the 900 high schoolers, 45 are autistic. On the pie chart, what will be percent for the sector of autistic students?

A.5
B.7
C.6
D.4

Answers

The answer would be 5%.
The answer is A - 5%

Is quadrilateral DEFG a parallelogram? Why or why not? Question 16 options: A) No, because opposite sides aren't parallel. B) Yes, because opposite sides aren't congruent. C) Yes, because opposite sides are parallel. D) There isn't enough information.

Answers

a) no because opp sides are not parallel

Answer:

No, because opposite sides aren't parallel.

Step-by-step explanation:I took the test

variable definition?

Answers

the number beside the letter . for example 6x, 6 would be the variable

m(x) = 4x + 15; m(x) = 7

Answers

Hi there! :)

[tex]\huge\boxed{x = -2}[/tex]

m(x) = 4x + 15

Find the value of "x" that would satisfy m(x) = 7:

4x + 15 = 7

Subtract 15 from both sides:

4x = -8

Divide both sides by 4:

x = -2.

In a quiz show, I get 23 out of 50 questions right. What
percentage did I get right?

Answers

Answer:

46%

Step-by-step explanation:

percentage=23÷50×100%

=46%

Answer:

I'm not sure but i think it's 46% of questions

Point E is on line segment DF. Given DE = 12 and EF = 6, determine the
length LF.

Answers

Answer: 29

Step-by-step explanation:

Answer:

DF=18

Step-by-step explanation:

What is the volume of a book when the length is 42 cm, the width is 12 cm and the height is 4 cm?





What is the mass of a rock if the volume is 54 ml and the density is 3.2 g/ml?





What is the density of a block of wood that has a mass of 38 g and a volume of 19 cm3?





What is the mass of a liquid that has a density of 2.4 g/ml and a volume of 32 ml?












What is the volume of gold with the mass of 1500 g if the density of gold is 19.32 g/ml?





What is the density of a box if the mass is 160 g and the volume is 12 ml?





What is the volume of a shark’s tooth when you start with 75 ml of water in a graduated cylinder and when the shark’s tooth is placed in the water, the water level rises to 90 ml? (use water displacement)





The mass of a pencil is 8 g and the density is 1.24 g/ cm3. What is the volume of the pencil?

Answers

Answer: What is the volume of a book when the length is 42 cm, the width is 12 cm and the height is 4 cm?  2016 (length x width x height)

What is the mass of a rock if the volume is 54 ml and the density is 3.2 g/ml?  172.8 (when finding the mass you always multiply the volume and density so 54ml x 3.2 g/ml = 172.8)

What is the density of a block of wood that has a mass of 38 g and a volume of 19 cm3?  2cm3 (38g/19cm3=2cm3

What is the density of a box if the mass is 160 g and the volume is 12 ml?  13.3 (160/12=13.3)

What is the volume of a shark’s tooth when you start with 75 ml of water in a graduated cylinder and when the shark’s tooth is placed in the water, the water level rises to 90 ml? (use water displacement) 15 (If you measure the amount the water level increases, you can find the volume of the water pushed out of the way.)

The mass of a pencil is 8 g and the density is 1.24 g/ cm3. What is the volume of the pencil? 6.45cm3  (8/1.24/cm3=6.45

Step-by-step explanation:

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