The product of two consecutive positive integers is 56. Find the two integers

Answers

Answer 1

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:


Related Questions

A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.

Answers

Answer:

329.91 cm^2

Step-by-step explanation:

A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.

Your answer

Given data

inner radius= 8cm

area= πr^2

area= 3.142*8^2

area= 3.142*16

area= 50.272 cm^2

outer radius= 11cm

area= πr^2

area= 3.142*11^2

area= 3.142*121

area= 380.182 cm^2

Hence the area of the shaded part is

=380.182-50.272

=329.91 cm^2

Which theorem proves these triangles are similiar for brainliest

Answers

[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]

Another math problem

Answers

Answer:

sorry no se la respuesta

State if the triangles are similar. If so, state how you know they are.

Answers

Answer:

The triangles are similar

Step-by-step explanation:

Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.

m∠UDT = m∠EDF because vertical angles are congruetnt

Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

solve for x in : 5^{2x-1} =12^{x}

Answers

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632

How can the decimal 1.245 repeating be written as a quotient of two integers?

Answers

Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.

que es la regla de los signos​

Answers

Answer:

La regla de los signos son los positivos y los negativos.Pero otra cosa son cuales son las raglas de los signos.

Omh pls help me 6thh grade math it's do in 10 mins

Answers

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

Find the coordinates of a point that is on the line y=2x+4

Answers

Answer:

can it be any coordinates? if so (0,4) (1,6) (2,8) and (3,10) are a couple of coordinates that would be on that line

Step-by-step explanation:

please helppppp
due in 15 minsssss helpppp plz i will give 5 stars say thanks and i will mark right answer brainliest


SOLVE FOR q

10.63 = q − –5.63

Answers

the answer for this equation is q=5

BRAINLIEST TO WHOEVER ANSWERS FIRST!
A painter is placing a ladder to reach the third story window, which is 39 feet above the ground and
makes an angle with the ground of 80°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned
feet out from the building.

Answers

Answer:

I believe it has to be placed about 8 feet from the base

Step-by-step explanation:

sorry if wrong

Each Parking Spot is 8 feet Wide A parking lot has 24 parking spots side by side What is the width measured in yards of the parking spots

Answers

Step-by-step explanation:

.................................

Somebody plss (kinda easy tho)

Answers

Answer:

74 pesos

Step-by-step explanation:

Let us assume the one peso coins be x

so, number of five peso would be x + 4

And, the total coins is 22

Now the equation is

x + x + 4 = 22

2x + 4 = 22

2x = 22 - 4

2x = 18

x = 9

Five peso coins is 9 + 4 = 13

Now

= 9(1) + 13(5)

= 9 + 65

= 74 pesos

If the mean of 5 numbers is 10 and the mean of other 15 numbers is 20 , what is the combined mean of both 20 numbers​

Answers

9514 1404 393

Answer:

  17.5

Step-by-step explanation:

The sum of the 5 numbers is 5·10 = 50.

The sum of the 15 numbers is 15·20 = 300.

The sum of all 20 numbers is then 50+300 = 350, so their mean is ...

  mean = sum/number = 350/20 = 17.5

The combined mean of the 20 numbers is 17.5.

Equations & Inequalities The value of a baseball card is increasing at a rate of $40 per year. If Tom purchased the card for $300, how many years will it take for the card to at least triple in value?

Answers

Answer:

15= number of years

Step-by-step explanation:

Giving the following information:

Current value= $300

Growth per year= $40

Triple value= $900

To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:

Future value= current value + (growth rate per year*number of years)

900 = 300 + (40*number of years)

600= 40number of years

600/40= number of years

15= number of years

what's [2+(2x3)]x5.

Answers

The answer to this question is 40
when i put this into my calculator i got 40

what is the slope intercept form​

Answers

y=9/4 x +5 sjhsnsjajjdj

Answer:

5.8

Step-by-step explanation:

5.8 is the correction

a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi​

Answers

You need two formulas for this:

C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius

A = πr² Where A is area, and r is radius

First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.

Answer:

[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]

Step-by-step explanation:

1. Find the Radius

We are given the circumference of 40.82 centimeters. The formula for circumference is

[tex]c=\pi d[/tex]

The diameter is twice the radius, so we can also write this formula as:

[tex]c= \pi 2r[/tex]

Substitute 40.82 for the circumference and use 3.14 for pi.

[tex]40.82 \ cm= (3.14) 2r[/tex]

[tex]40.82=6.28 r[/tex]

6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82

[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]

[tex]6.5 \ cm=r[/tex]

2. Calculate the Area

Now we can calculate the area using this formula:

[tex]a= \pi r^2[/tex]

The radius is 6.5 centimeters and we are using 3.14 for pi.

[tex]a= 3.14(6.5 \ cm)^2[/tex]

Solve the exponent.

(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²

[tex]a= 3.14 (42.45 \ cm^2)[/tex]

Multiply.

[tex]a=132.665 \ cm^2[/tex]

The area is 132.665 square centimeters.

A meteorologist found that the rainfall in Campbell during the first half of the month was 3/10 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?

Answers

Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

HELP I NEED HELP ASAP

Answers

Answer:

C) Linear

Step-by-step explanation:

To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.

Hope it helps!

Mr. Alvarez makes a walkway of 3 cement slabs.He uses 14 cubic feet of cement to make the walkway.Each square slab has a volume of 4 cubic feet

Answers

Answer:

I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.

The walkway has 3 cement slabs,

He uses a total amount of 14 cubic feet to make the complete walkway.

This means that the 3 cement slabs together have a total volume of 14 ft^3

To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:

Volume of each slab = (14 ft^3)/3 = 4 ft^3

This means that each cement slab has a volume of 4 ft^3.

Answer:

6 ft^3

Step-by-step explanation:

which even number is a prime number​

Answers

Answer:

2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

Answer:

Answer is 2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

I hope it's helpful!

6 times the difference of d and 5

Answers

Answer:

6(d - 5)

Step-by-step explanation:

Answer:

d-30

Step-by-step explanation

6*5 the do d- that which is d-30

"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and direction that the plane would have gone if there had been no wind".

Answers

Answer:

vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta  [tex]= 22.95[/tex]

Step-by-step explanation:

The resultant velocity vr = vp + vw

vp = vector velocity of plane and

vw = vector velocity of wind

vr = vector resultant velocity

in one hour the plane travels 540 miles and hence the speed is 540 mph

Hence vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta

[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]

Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?




pa help po please kailangan na po kase e ​

Answers

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

Please help 40 points!!!! What's a Translation of (x+15, y-20). WILL MARK BRAINLIEST FOR RIGHY ANSWER

Answers

Answer:

x= y-15

Step-by-step explanation:

hope it helps

que es una organizacion

por favor es urgente​

Answers

Step-by-step explanation:

Las organizaciones son estructuras administrativas y sistemas administrativos creadas para lograr metas u objetivos con el apoyo de las propias personas, o con apoyo del talento humano o de otras características similares.

Anybody good in geometry?

Answers

Answer:

A) <6, 2>

Step-by-step explanation:

Moves along x-axis to the right six units. Moves along y-axis upward two units.

Answer:

which vector translated the triangle to its image?

A. < 6 , 2 >

pls help ty !
question is in the pic

Answers

Yes the answer is correct because you are adding 2 perfect squares and you get the same answer !

Answer:

He is not correct

through (2,3); slope = -2

Answers

Answer:

y=-2x+7

Step-by-step explanation:

See image