Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smallest of the three numbers? (x + 1) + (x + 2) = 30 x + (x + 1) + (x + 2) = 30 x (x + 1) (x + 2) = 30 3 x (x + 1) (x + 2) = 30

Answers

Answer 1

Answer:

X+(X+1)+X+2)=30

Step-by-step explanation:


Related Questions

Which equation is equivalent to f(x) = -3(x-2)^2 + 14?

Answers

Answer:

-3x² + 12x + 2

Step-by-step explanation:

[tex]-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2[/tex]

How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
I
Use 3.14 for it and round your answer to the nearest millimeter if necessary.
1. What is the height of the cone? Explain how you found the height.
Best complete answer will get mark brainiest

Answers

Step-by-step explanation:

the volume of the cone = ⅓×3.14×20²×h

8,792 = 1,256 h/3

=> h = 3×8,792/1,256

= 21 mm

the height of the cone = 21 mm

the slant s = √20²+21²=√400+441

=√941 = 29 mm

explanation please will give brainliest.​

Answers

Answer:

[tex]AC = 28[/tex]

Step-by-step explanation:

Given

[tex]AB = 16[/tex]

[tex]BC = 12[/tex]

Required

Determine AC

Since A, B and C are collinear, then:

[tex]AC = AB + BC[/tex]

So, we have:

[tex]AC = 16 + 12[/tex]

[tex]AC = 28[/tex]

what is 9x+12y
._.
so can you help me ?? ...umm :p

Answers

Simplifying

9x = 12y

Solving

9x = 12y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '9'.

x = 1.333333333y

Simplifying

x = 1.333333333y

Wll mark Brainlest helllppoooooo​

Answers

Answer:

Step-by-step explanation:

f(x) = (2x^2 + 1)

( f(3 + h) - f(3) ) / h

f(3 + h) = 2(3 + h)^2 + 1)

f(3 + h) = 2(9 + 6h + h^2) + 1

f(3 + h) = 18 + 12h + 2h^2 + 1

f(3 + h) = 19 + 12h +2h^2

f(3) = 2*(3^2) + 1

f(3) = 2(9) + 1

f(3) = 19

f(3 + h) - f(3) = 2h + 2h^2  The 19s cancel out

f(3 + h) - f(3) = 2h(1 +  h^2)

(  f(3 + h) + f(3)  ) / h  =  2h ( 1 + h^2) / h = 2 ( 1 + h^2)

Answer:

Step-by-step explanation:

All of the following are advantages of self-imposed budgets except:_______.
a. Budget estimates prepared by front-line managers are often more accurate and reliable than estimates prepared by top managers who have less intimate knowledge of markets and day-to-day operations.
b. Motivation is generally higher when individuals participate in setting their own goals than when the goals are imposed from above.
c. Individuals at all levels of the organization are recognized as members of the team whose views and judgments are valued by top management
d. Self-imposed budgeting may allow lower-level managers to create budgetary slack.

Answers

Answer:

a. Budget estimates prepared by front-line managers are often more accurate and reliable than estimates prepared by top managers who have less intimate knowledge of markets and day-to-day operations.

Step-by-step explanation:

The following is the exception in the self-imposed budgets among other listed  statements.

Easy question please help

Answers

Answer:

[tex]y = 3x - 2[/tex]

Step-by-step explanation:

Required

The equation of the above linear function

From the table, we have:

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,4)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

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

[tex]m = \frac{3}{1}[/tex]

[tex]m =3[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 3(x - 1) + 1[/tex]

[tex]y = 3x - 3 + 1[/tex]

[tex]y = 3x - 2[/tex]

Please help ASAP !! Will mark brainless to whoever gets it right

Answers

Answer:

should be 74 degrees,,,

Answer:

74

Step-by-step explanation:

Since angle 74 equals x

Can you figure this out? Math kills me!

Answers

Answer:

m equals 27

Step-by-step explanation:

m+7=34

-7 = -7

m = 27

Answer:

m+7 =34

m=34-7

m=27

First option is the answer

Clue #2: You use a total of 11 base ten blocks to show this number. The
number of tens blocks is greater than the number of ones blocks.


Clue #3: 9,4 and 6 are all not a digit in the number.

Answers

Answer:

12

Step-by-step explanation:

please answer both questions thanks​

Answers

Answer:

5. tan(25) = 12/x

x · tan(25) = 12

x = 12/tan(25)

= 25.734

≈ 25.73

6. tan(52) = x/3.4

x = 3.4tan(52)

= 4.352

≈ 4.4

Consider the sequence:
1000,-500,250,-125
What is the 7th number in the sequence? Write your answer as a fraction

Answers

Answer:

The 7th number in the sequence is [tex]\frac{125}{8}[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio.

The nth term of a geometric sequence is given by:

[tex]A_n = A(0)r^{n-1}[/tex]

In which A(0) is the first term and r is the common ratio.

1000,-500,250,-125

This means that [tex]A(0) = 1000, r = -\frac{500}{1000} = -\frac{1}{2}[/tex]

So

[tex]A_n = A(0)r^{n-1}[/tex]

[tex]A_n = 1000(-\frac{1}{2})^{n-1}[/tex]

What is the 7th number in the sequence?

This is [tex]A_7[/tex]. So

[tex]A_7 = 1000(-\frac{1}{2})^{7-1} = \frac{1000}{64} = \frac{125}{8}[/tex]

The 7th number in the sequence is [tex]\frac{125}{8}[/tex]

how do you solve this math problem
using substitution n=5n n=2/3m-13

Answers

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

NEED HELP ASAP!!
the surface area of a sphere is S(x)=4pix^2, where x is the length of the radius of the sphere. restrict the domain to create a one-to-one function. find and describe the inverse function. {ANSWERS ARE PICTURED}

Answers

Answer:

the last answer

Step-by-step explanation:

S(x) = 4pix^2

replace S(x) with y => y = 4pix^2

switch x and y variables => x=4piy^2

solve for y

divide both sides by 4pi => x/(4pi) = y^2take the square root of both sides => 1/(2(pi))(sqrtpi) = y

That eliminates the first 2 answers because S^-1(x) is incorrect, which leaves the last two answers.

The 3rd answer is wrong because the answer says that the input of the inverse function is length of the radius, but that was the inverse of the original function, not the inverse function. For inverse functions, the input of the original function (in this case, length of radius) becomes the output and the output of the original function (in this case, surface area of the sphere) becomes the input of the inverse function.


Find the vertices and foci of the hyperbola with equation
(x + 2)^2/144 - (y-4)^2/81 =1

Answers

Answer:

Here is your answer:

Step-by-step explanation:

Y = -16x^2 + 119x + 57

Answers

Answer:

y1=-6.92

y2=-0.5146

Step-by-step explanation:

Wanda listed these facts about parallelograms.


Opposite angles are equal to each other.
Adjacent sides may have different lengths.
There are exactly two sets of parallel sides.
Both pairs of opposite sides have the same length.


Which One is correct

Answers

Answer:

there are exactly two sets of parallel sides

A circular table top has a radius of 24 inches.

What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.

Answers

Answer:

1809 in²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Circle Formula: A = πr²

r is radius

Step-by-step explanation:

Step 1: Define

Identify

r = 24 in

Step 2: Find Area

Substitute in variables [Area of a Circle Formula]:                                         A = (3.14)(24 in)²Evaluate exponents:                                                                                        A = 3.14(576 in²)Multiply:                                                                                                             A = 1808.64 in²Round:                                                                                                               A ≈ 1809 in²

Answer:

Area of circular table is 1,809 inches².

Step-by-step explanation:

Area of circular table is given by

Area = π r²

substitute the values

Area = 3.14 × ( 24 inches )²

evaluate the exponent

Area = 3.14 × 576 inches²

multiply the numbers

Area = 1,808.64 inches ²

Round

Area = 1,809 inches²

Hellpppp I’m stuck......

Answers

I’m just gonna guess but I think 6

i think it’s five
Vertical angles are angles that congruent and opposite of each other

what is the slope of the line that passes through (7,-3) and (-5,-1)

Answers

Answer:

i dont know

Step-by-step explanation:

You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.

Remember that y2 - y1 / x2 - x1 = m

m= slope

Graph the line with slope - 1 passing through the point (-3, 3). ​

Answers

Answer:

Y=-x

Step-by-step explanation:

Y=mx+c

y=3, x= -3, m=-1

(-1)(-3)=3

3-3=0

S0,

c=0

y=-x

Answer:

This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!

Step-by-step explanation:

Can y’all help me on question 3?!

Answers

9514 1404 393

Answer:

  60 gallons

Step-by-step explanation:

The area of the trapezoid-shaped wall is given by ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.

The area of the wall is ...

  A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²

If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.

Isha needs 60 gallons of paint.

Answer:

Isha needs 60 gallons of paints to the wall.

Step-by-step explanation:

The area of trapezoid shaped like wall is given by :-

Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H

Where,

B ¹ and B ² are the length of bases and H is the perpendicular distance between them.

Area of wall = 1/2 × ( Base¹ + Base²) × Height

Where, according to question we have

Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ft

substitute the values

Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft

add the values of Base¹ and Base ²

Area = 1/2 × 20 ft × 6 ft

multiply

Area = 1 / 2 × 120 ft ²

divide

Area = 120 ft ² / 2 = 60 ft ²

It takes 1 gallon to cover 1 ft ². ... ( given)

So, For covering 60 ft ² it takes 60 gallons .

check

( 1 × 60 ) gallon = 60 ft ²

60 gallon = 60 ft²

PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).

Answers

Using the distance formula I got 13 I’m sorry if it’s wrong bestie
i think -8.6 is the answer for this

A square patio has an area of
81 m2
. How long is each side?

Answers

One side is 9 meters

Explanation:
To find an area of square, use this formula:
a^2
a is one side length

9^2 = 81

In this case, area is measure in meters squared:
So the area is 81 m^2 and the side length matches.

I hope this helps

Can someone help me?

Answers

Answer:

y = 250x + 1000

Step-by-step explanation:

we know, it is a linear function.

so, y = ax + c

we have multiple data points all on the line.

(4,2000)

2000 = a×4 + c, => c = 2000 - a×4

(7,2750)

2750 = a×7 + c

=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000

=> 750 = a×3

=> a = 250

=> c = 2000 - 250×4 = 2000-1000 = 1000

answer 2 and 3. Look at the image

Answers

For b it is >
And for c the larger denominator will make the fraction less than one with a smaller denominator

Answer:

answers below.  Let me know if anything didn't make sense.  You definitely need to make sure you understand so you can put it into your own words.  

Step-by-step explanation:

2a:  The fraction bar for 4/5 would be more full.  if you cannot picture ityou may just have to draw it.  use a ruler and draw two equal length "bars" then divide one into fifths and the other into sevenths, then fill in the appropriate amount.

2b:  4/5 > 4/7

2c:  The idea is that as the denominator gets larger, those 4 pieces take up less and less space.  Try thinking what happens with 4/1, 4/2, 4/3, 4/4, 4/5, 4/6 and 4/7  It ight be easier to envision something like 1/2 and 1/4.  Two 1/4s would make 1/2, so 1/4 is less than 1/2.

3a:  You could try thinking in percents or decimals.  1/2 is obviously 50% then 4/7 is 4 times 1/7, and 1/7 is about 14%, so 14*4= 56%.  Or you could compare more directly like saying 1/2 is 50% and 3.5/7 would be 50%, so 4/7 is bigger. There are a lot of ways to think about it.  

3b:  the easyness is shown in my second idea in 3a.  it's super easy to cut a number in half.  it will either be a whole number or a number with .5 at the end.  then you can tell if your other fraction is bigger or smaller than 1/2

Solve by factoring: WRITE IT AS A FRACTION
6x^2 - 13r = -2​

Answers

Answer:

2/6

Step-by-step explanation:

on the scale of a map 4 cm represent 20 km if the distance between two points is 10 cm what is the actual distance between this points​

Answers

Answer:

50 km

Step-by-step explanation:

Given

[tex]r = 4cm : 20km[/tex] -- Scale ratio

Required

Actual representation of 10cm

Let the actual measurement be x.

So, we have:

[tex]r =10cm:x[/tex]

Equate both value s of r

[tex]10cm : x = 4cm : 20km[/tex]

Express as fraction

[tex]\frac{x}{10cm } =\frac{20km}{4cm}[/tex]

Multiply by 10cm

[tex]10cm * \frac{x}{10cm } =\frac{20km}{4cm} *10cm[/tex]

[tex]x =\frac{20km}{4} *10[/tex]

[tex]x =5km *10[/tex]

[tex]x =50\ km[/tex]

Will give Brainliest! 10 points!
Provide reasons for the statements of this proof.

Answers

Answer:

See Below.

Step-by-step explanation:

Statements:                                                  Reasons:

[tex]\displaystyle 1)\, AD\perp BC\text{ and } D\text{ is the midpoint of } BC[/tex]   Given

[tex]\displaystyle 2)\, BD\cong CD[/tex]                                                  Definition of Midpoint

[tex]\displaystyle 3)\, m\angle ADB=90^\circ \text{ and } m\angle ADC=90^\circ[/tex]          Definition of Perp. Lines

[tex]\displaystyle 4)\, m\angle ADB=m\angle ADC[/tex]                                 Substitution

[tex]\displaystyle 5) \angle ADB\cong \angle ADC[/tex]                                       Definition of Congruence

[tex]\displaystyle 6)\, AD\cong AD[/tex]                                                  Reflexive Property

[tex]\displaystyle 7)\Delta BDA\cong\Delta CDA[/tex]                                       SAS Congruence

Find the perimeter of the figure.

Answers

Answer:

A) 60

Step-by-step explanation:

P = 5+5+11+9+(5+11)+(9+5)

P = 60

Answer:

A. 60 m

Step explanation:

Perimeter for the small cube

5+5+5+5=20

Perimeter for the rectangle

9+9+11+11=40

Add 20 plus 40 to find the perimeter for the whole shape

20+40=60

Hope this helps

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