The product of two consecutive positive integers is 812. What is the value of the lesser integer?

7
28
58
203

Answers

Answer 1

Answer:

It's 28, B

Step-by-step explanation:

EDGE 2022

Answer 2

If product of two consecutive positive integers is 812 then the value of lesser integer is 28.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let's represent the lesser integer by x.

The next consecutive integer would be x + 1.

According to the problem, the product of these two integers is 812. So we can set up the equation:

x(x + 1) = 812

Expanding the left side and simplifying, we get:

x² + x = 812

Rearranging and factoring the left side, we get:

x² + x - 812 = 0

(x - 28)(x + 29) = 0

we can eliminate the negative value.

Therefore, the value of the lesser integer is 28. option B is correct.

To learn more on Equation:

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Related Questions

What is the volume of the right prism

A. 1275
B. 600
C. 1020
D. 680

Answers

Answer:

B

Step-by-step explanation:

The face of the prism is the right triangle closest to us.

The area of the right triangle is 15 * 8 = 120 / 2 = 60 The general formula for a triangle's area is 1/2 * B * h.

B = 8

h = 15

The volume in general is B*h.

The height in this case is 10 (the height in this case is perpendicular to the surface containing the right triangle).

Volume = B * h

Volume =60 * 10

Volume = 600

What is the measure of \angle D∠Dangle, D?

Answers

Answer:

74⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

74 degrees just 180-96

who ever can answer this qustion will be marked as brainlest and will get 30points

Answers

Hope this helps ..... :)

Please help me with this question

Answers

Step-by-step explanation:

Insribed angle is half the measure of intercepted arc.

m∠CAB = 1/2mCDB

Since O is the center COB is the diameter of this circle.

The diameter splits the circle into two equal arcs. As the full circle is 360°,  each semicircle is 180°.

So

1/2mCDB = 1/2(180°) = 90°

And the angle measure is

m∠CAB = 90

Proved

Answer:

[tex]\overline{\sf COB}[/tex] is the diameter of circle O.

The angle on a straight line is 180°  ⇒  ∠COB = 180°

The angle at the center of a circle is twice the angle at the circumference:

⇒ ∠CAB = 1/2 of ∠COB = 1/2 x 180°

⇒ ∠CAB = 90°

How many lines of symmetry does the following figure have?

1

3

4

5​

Answers

Answer:

1

Step-by-step explanation:

It has 1 lines of symmetry

Hopes this helps

#ViolentJax

A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price

Answers

Answer:

4.06 i think

Factor the following:
y^2-3y-40

3x62+10x+3

Answers

Answer:

Below in bold.

Step-by-step explanation:

y^2 - 3y - 40

To factor this we need 2 numbers whose product is -40 and whose sum is -3.  These are -8 and +5. so the factors are:

(y - 8)(y + 5).

3x^2 + 10x + 3

To factor this we need 2 numbers whose product is (3*3) = +9 and whose sum is +10.  These are +9 and +1 so we write:

3x^2 + 9x + x + 3  

Factor by grouping:

= 3x(x + 3) + 1(x + 3)

= (3x + 1)(x + 3).

Write an expression that is equivalent to 1.5a +4.7+0.25a-0.3-0.5a

Answers

Answer:

1.25a-4.4

Step-by-step explanation:

you take :1.5a+0.25a-0.5a=1.25

then:4.7+0.3=4.4

1.25a-4.4

but am not sure sorry

Answer:

1.25a + 4.4

Step-by-step explanation:

Collect like terms and simplify

1.5a +4.7 + 0.25a - 0.3 - 0.5a = a(1.5 + 0.25 - 0.5) + (4.7 - 0.3) = 1.25a + 4.4

explain why the other expressions do not have like terms A. 14m + mn B. 2y + 2x + 4 C. -3/4m + 8m + m D. 4 - 3p E. 5.75t + 7.75t - t F. 8xy - 6xy

Answers

I think because it's different answers/equation and it it's the same just combine like terms!

Select the correct answer
Choose the number sentence that ilustrates the distributive property of multiplication over

Answers

Answer:

b

Step-by-step explanation:

a x (b + c) = (a x b) + (a x c)

Answer:

B is the answer...

2(5+6)

(2×5)+(2×6)

5. Look at the figure in the graph below. If a figure congruent to this one were drawn, which statement must be TRUE?

Answers

Answer:

C. by a facotor of 3

Step-by-step explanation:

The approximate value of the figure in the graph is [tex]\sqrt{3[/tex]

So if you were to draw a figure that is congruent to the one drawn it would be C. by a factor of 3.

If ABCDE is translated 7 units to the right and 2 units up, what will happen to the polygon?

Answers

Answer:

D.

Step-by-step explanation:

It will move but stay the same size. You are translating the shape to a different spot, not adding onto its size.

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I hope this helps!

-No one

A security system company wants to know whether there are differences in the time of day of residential and commercial burglaries. They read the records from a randomly selected sample of 60 6060 of the 830 830830 residential burglaries and 60 6060 of the 447 447447 commercial burglaries in the past year from their town database. Suppose that 65 % 65%65, percent of the residential burglaries and 31 % 31%31, percent of the commercial burglaries happened during the day. The company plans to look at the difference ( p ^ R − p ^ C ) ( p ^ ​ R ​ − p ^ ​ C ​ )left parenthesis, p, with, hat, on top, start subscript, start text, R, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, C, end text, end subscript, right parenthesis between the proportions of daytime burglaries in each sample

Answers

Answer:

we cannot assume independence for the burglaries sampled from commercial burglaries. (C)

Step-by-step explanation: KHAN KNOWS ALL

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

6/5 or A. 1 1/5

Step-by-step explanation:

Hey there!

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

6/5 or 1 1/5 or A

Step-by-step explanation:

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

What is the value of x?
Enter your answer in the box.
units

Answers

Answer:

x=27

Step-by-step explanation:

the attached photo might help you

15. Graph the line 3 y - 2x = 3 on the axes provided. At what value of x does the line you graphed intersect the line y = 5. Show how you determined your answer. th 6 noints​

Answers

Answer:

x=6

Step-by-step explanation:

3*5-2x=3

15-2x=3

15-3=2x

12=2x

6=x

A beach volleyball court is 9 meters wide and 18 meters long. The rope used for the boundary line costs $1.67 per meter. How much would it cost to buy a new boundary line for the court?

Answers

Answer:

$90.18

Step-by-step explanation:
Since there are two long sides and two wide sides, you would double them. Add them together, and multiply by price

9 + 9 = 18
18 + 18 36
18 + 36 = 54
54 x 1.67 = 90.18

Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the height is 13 centimeters.


A.
B.
C.
D.

Answers

Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

Answer:

the answer is 1105

Step-by-step explanation:

Is the number -243 an integer?

Answers

Answer:

yes

Step-by-step explanation:

Yes it is because it is a whole number and rational

Please mark this as brainliest and I hope this helps you

yes it is an integer :))

2(x - y)2 - 9(x - y) + 10​

Answers

Answer:

Step-by-step explanation:

hello :

2(x - y)2 - 9(x - y) + 10​

calculate : 2(x²-2xy+y²) -9x+9y +10 = 2x²-4xy +2y²-9x+9y+10

The answer would be -5x + 5y + 10. Hope this helps and please mark brainliest!

what are the missing reasons in the proof?

Answers

Answer:

Step-by-step explanation:

3) Opposite sides of a parallelogram are parallel

4) Alternate interior angles theorem

5) Reflexive property

6) ASA

find the measures of
Find the measure of
Find the measure of


Find the measure of

Answers

Answer:

15.

If we look at angle BOD, that would form a right angle (90°), given that one part of that whole angle is 30°, the other would be;

30° + x = 90°

-30        -30

x = 60°, therefore ∠BOC = 60°.

If we take a look at angle EOC, we can see that that angle is a straight angle (180°), we can also see that a right angle (90°) is a part of that angle alongside the angle we just previously found (60°). So all of those angles plus the unknown angle (AOE) which we will consider 'x' summed up would result in 180 degrees.

Now we set up the equation;

90° + 60° + x = 180°

150 + x = 180

-150       -150

x = 30°, therefore ∠AOE = 30°.

16.

The sum of the interior angles in a triangle will always equal 180°. (We can also confirm this using the formula (n - 2) x 180.)

Given two of the angles, we must add them and the unknown angle(D) which we will consider 'x' to make it result in 180°.

Now we set up the equation;

55° + 18° + x = 180°

73 + x = 180

-73         -73

x = 107°, therefore ∠EDF = 107°.

17.

To find angle P, we must first find the supplement of 34° because 34° and the angle beside forms a straight angle (180°).

Set up an equation;

34 + x = 180

-34         -34

x = 146°, now that we've found the supplement, we add this supplement with the other given angle (23°) because all three angles (unknown angle which we will consider x + 23 + 146) will equal 180°(sum of interior angles of triangle).

146° + 23° + x = 180°

169 + x = 180

-169        -169

x = 11°, therefore ∠QPR = 11°.

18.

Seeing that the bigger triangle has a 90° angle (indicated with a square), and two other equal angles(indicated with the two lines on both legs of the big triangle), we solve for those two missing equal angles in the bigger triangle which we will then use to solve for the smaller triangle's angle.

2x + 90° = 180°

-90            -90

2x = 90

/2     /2

x = 45°, so now we know the two angles in the bigger triangle excluding the right angle.

One of those equal angles is vertical to the smaller triangle, and vertical angles are congruent.

Hence, the angle vertical to the bigger triangle in the smaller triangle will be 45°.

Now we solve for ∠CDE.

Add the two angles and the missing angle to equal 180°.

Set up the equation;

86° + 45° + x = 180°

131 + x = 180

-131        -131

x = 49°, so ∠CDE = 49°.

The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?

Answers

Answer:

Step-by-step explanation:

Finding the angles of quadrilateral:

Sum of all angles of quadrilateral = 360

2x + 10 + 3x + 3x + 5 + 5x +20 =360

2x + 3x + 3x + 5x + 10 + 5 + 20 = 360

Combine like terms

                    13x + 35 = 360

Subtrace 35 from both sides

                            13x = 360 - 35

                           13x  = 325

Divide both sides by 13

                               x = 325/13

                               x = 25

5x +20 = 5*25 +20

            = 125 +20

             = 145°

Measeure of largest angle : 145°

Which expressions are equivalent to 4^-2 x 7^-2

Answers

Answer:

[tex]\frac{1}{784}[/tex]

Step-by-step explanation:

4⁻² * 7⁻²

Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]

[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]

Hope this helps!


Please help me please

Answers

Answer: x is 125

Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.

is 627 divisible by 3

Answers

Answer:

yes.

Step-by-step explanation:

If you divide 627 by 3, you get 209 which is a whole number.

Hope this helped! Have a nice day!
Please give Brainliest when you can!

-Jaron

Answer:

technically speaking, yes. but if you don't want any remainders, (or decimals) then no.

Step-by-step explanation:

7 isnt divisable by anything, unless you have remanders or decimals, fractions ext. so yeah.

plsss need help nowwww

Answers

Answer:

49/12

Step-by-step explanation:

1 ⅓ can be written as 1 + 1/3

1 ⅓

= 1 + 1/3

LCM = 3

= 3/3 + 1/3

= ( 3 + 1 )/3

= 4/3

2 ¾

= 2 + 3/4

LCM = 4

= 8/4 + 3/4

= ( 8 + 3 )/4

= 11/4

1 ⅓ + 2 ¾

= 4/3 + 11/4

LCM = 3 x 4 = 12

4/3 x 4/4

= ( 4 x 4 )/( 3 x 4 )

= 16/12

11/4

= 11/4 x 3/3

= ( 11 x 3 )/( 4 x 3 )

= 33/12

16/12 + 33/12

= ( 16 + 33 )/12

= 49/12

Answer:

I don’t know if it correct, but when I solved it I got 4 1/12

Step-by-step explanation:

(1+2) (1/3 + 3/4)

3 + 13/12

3 + 1 1/12

3 + 1 + 1/12

4 + 1 /12

4 1/12

please help fast it is due​

Answers

Answer:

25

Step-by-step explanation:

use the formulae SOHCAHTOA. cos45=adjacent/hypotenuse. cos45=x/25square root 2=25

Expand and simplify (x+6)(x−11)

Answers

Answer:

x^2 - 5x - 66

Step-by-step explanation:

1. Distrubute the x to the x and -11 so you will get x^2 - 11x

2. Distrubute the 6 to x and -11 and you get 6x - 66

3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66


A pair of shoes usually sells for $63. If the shoes are 40% off, and a sales tax of 7% is applied to
the discounted cost, what is the total price of the shoes, including tax? Round your answer to
the nearest penny
A.$37.08
B.$40.45
C.$40.82
D.$42.2

Answers

Answer: 40.45 or B

Step-by-step explanation:

63 x 0.6(100%-40%) = 37.8

37.8 x 1.07 = 40.446

40.446 rounded is

40.45

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