Two consecutive integers have a sum of 107. Find the integers.

Answers

Answer 1

Answer: 53 and 54

Explanation

Let the consecutive numbers be x and x + 1

ATQ

x + x + 1 = 107

2x = 107 - 1

x = 106/2

x = 53

Therefore the numbers are 53 and 54

Must click thanks and mark brainliest

Answer 2

Answer:

x = 53, x + 1 = 54

Step-by-step explanation:

Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):

Regular consecutive numbers: 1, 2, 3

Even consecutive numbers: 2, 4, 6

Since in this problem the numbers are not given you will use variables.

x + x + 1 = 107

Solve:

x + x + 1 = 107

2x + 1 = 107

      -1      -1

----------------

2x = 106

---    -----

2      2

  x = 53

x + 1

53 + 1 = 54

Hope this helped.


Related Questions

Write the Roman Numeral CLXIV in standard form.


A. 169
B. 166
C. 164
D. 159

Answers

Answer:

It's C, 164

Step-by-step explanation:

The answer is 164 which would be c

Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity?

Answers

Using Pythagorean triplet

[tex]\\ \sf\longmapsto AB^2=AC^2-BC^2[/tex]

[tex]\\ \sf\longmapsto AB^2=4^2-3^2[/tex]

[tex]\\ \sf\longmapsto AB^2=16-9[/tex]

[tex]\\ \sf\longmapsto AB^2=7[/tex]

[tex]\\ \sf\longmapsto AB=\sqrt{7}[/tex]

Now time=35

[tex]\\ \sf\longmapsto Velocity=\dfrac{Displacement}{Time}[/tex]

[tex]\\ \sf\longmapsto Velocity=\dfrac{\sqrt{7}}{35}[/tex]

[tex]\\ \sf\longmapsto Velocity=\dfrac{2.6}{35}[/tex]

[tex]\\ \sf\longmapsto Velocity=0.07m/s[/tex]

Question choices:
A: I, IV

B: II, III, IV

C: III, IV

D: II, III

Answers

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

What does x equal? Dpsewbskdye

Answers

Answer:

x = 7

Step-by-step explanation:

27 = 7x + 6 - 4x      (Given)

27 = 3x + 6             (Simplify)

27 - 6 = 3x + 6 - 6  (Subtract 6 on both sides)

21 = 3x                    (Simplify)

21/3 = 3x/3             (Divide 3 on both sides)

7 = x                        (Simplify)

Given the diagram below , what is sin(30”)?

A. 1/2
B. 1/3
C. 1/4
D. 3/4

Answers

Answer:

Sin( 30 ) is 1/2 .

A is the best / correct answer .

i think i got the hang of it but i still need help

pls help !​

Answers

Answer:

50

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

since one of the angle is given as 80 the remaining is 100

The given is an isosceles triangle which means two of its side length and so its angles are equal in measure so 100/2 = 50

Answer:

4/5 t

Step-by-step explanation:

why?

80%xt by definition of p%=p/100

80/100t

80/100t reduce the fraction with 20

so the answer is;

4/5 t

Hope it helps

Scale the numerator and the denominator down by a factor of 3 (divide) to write a fraction equivalent to \frac{3}{12}
12
3

.

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{12}[/tex] ← divide numerator and denominator by 3

= [tex]\frac{1}{4}[/tex]

What should the equations look like for each number? 17-20

Answers

Answer:

See below.

Step-by-step explanation:

17.)

[tex]x+100+120+100=360\\x+320=360\\x=40[/tex]

18.)

[tex]x+150+77+48=360\\x+275=360\\x=85[/tex]

19.)

[tex]x+122+92+76=360\\x+290=360\\x=70[/tex]

20.)

[tex]x+115+85+60=360\\x+260=360\\x=100[/tex]

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answers

Answer:

(2 + 1)^2 + 2 = 10 - 6  

Falso

Step-by-step explanation:

109 / 5000  

El lado izquierdo

11

 no es igual al lado derecho

4

, lo que significa que la declaración dada es falsa.

Falso

∣x−18∣=5 absolute value

Answers

Answer

x = 13 or x = 23

Step-by-step explanation:

|x-18| = 5 means there are two possibilities.

x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.

so you can write two equations and solve

first is x-18 = 5

x-18 + 18 = 5 + 18

x = 23

the second is x - 18 = -5

x - 18 + 18 = -5 + 18

x = 13

The two solutions are 13 and 23.

The mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1. What differences would you expect to see when comparing the dot plots of the two data sets?

Answers

Answer:

MAD - mean absolute deviation is indication of the distance of data points from the mean.

Data set B shows the greater variability since has greater MAD.

It means the B data set is more spread compared to A data set.

what is 2x 3 -7x^{3}−7x 3

Answers

Answer:

It is given that

4x/3−7x/3=1

Step-by-step explanation:

By further calculation

−3x/3=1

So we get

−x=1

x=−1.

Solve for x. Type your answer below.


5(2x−12)=​−90

Answers

Hi there!

[tex]\large\boxed{x = -3}[/tex]

Begin by distributing the 5:

5(2x) + 5(-12) = -90

Simplify:

10x - 60 = -90

Add 60 to both sides:

10x = -90 + 60

10x = -30

Divide both sides by 10:

x = -3

Answer:

x = -3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 5 from both sides of the equation:

5(2x - 12) = -90

(5(2x - 12))/5 = (-90)/5

2x - 12 = -90/5

2x - 12 = -18

Next, add 12 to both sides of the equation:

2x - 12 (+12) = -18 (+12)

2x = -18 + 12

2x = -6

Finally, divide 2 from both sides of the equation:

(2x)/2 - (-6)/2

x = -6/2

x = -3

-3 is your answer for x.

~

help pleasseeeeeeeee

Answers

Answer:

-1

Step-by-step explanation:

I know that i^4 = 1

i^10 = i^4 * i^4 * i^2

     = 1 * 1 * i^2

We know that i^2 = -1

    =1 *1 *-1

    = -1

[tex]x^2-x-6=0[/tex]

Answers

Answer:

x = 3  or  x = -2

Step-by-step explanation:

x² - x - 6 = 0

(x - 3)(x + 2) = 0

x - 3 = 0  or  x + 2 = 0

x = 3  or  x = -2

Since x and x -1 are two consecutive numbers that x > x-1, x= 3

I need help ASAP!! Please help me

Answers

Answer:

Step-by-step explanation:

Answer:

angle 1 = 80

angle 2 = 80

Step-by-step explanation:

in rhombus all sides are equal and also diagonals bisects each other

so

At the Natural History Museum, 40% of the visitors are children. There are 36 children at the museum. How many visitors altogether are at the museum?

Answers

Answer:

90

Step-by-step explanation:

36/x * 40/100 = 3600/40x

and you get x = 90

A school organised a farewell party of 100 students and school managementn decided three types of drinks distribute in the party

Answers

The answer is

i) - c

ii) - b

iii) - b

iv) - a

v) -  d

We are planning a reception for our daughter. The hall that we are renting charges a $50 cleanup fee. In
addition to the cleanup fee, they charge $20 per guest for food and drinks.
If we have $3,700.00 available, what is the maximum number of guest we can invite without going over ou
budget?

Answers

Answer:

The answer is 235

Step-by-step explanation:

it's just basic long divistion.

The radius of a circle is 5 cm. Find its area to the nearest tenth.

Answers

Answer:

78.5

Step-by-step explanation:

πr²

= π×5²

= 25π

= 78.5

please solve this ASAP. I need this done but I can't figure it out

Answers

Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

how to change mixed fraction into improper fraction and improper to proper fraction easy way

Answers

To convert a mixed fraction to an improper fraction, follow these steps:

Step-by-step explanation:

Multiply the whole number part by the fraction's denominator.Add that to the numerator.Then write the result on top of the denominator

Hope this helps you ❤️

MaRk mE aS braiNliest ❤️

Answer with Step-by-step explanation:

To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.

For example:  4 1/5 = (5*4)+1/5=21/5

To change improper into proper mixed fraction,

Divide the numerator by denominator and write the remainder on numerator

For example: 7/2= 3 1/2

$108.75 for working 15 hours as a holiday helper wrapping gifts. At this rate, how much money will she earn if she works 18 hours the next week. Explain.

Answers

Answer:

$130.50

Step-by-step explanation:

$108.75/15 = 7.25

7.25 x 18 = $130.50

She will earn $130.50

Determine if this
graph is an
example of a
function??

Answers

Answer:

A function is a set of ordered pairs where there is exactly one y value for each x value.

This is the case with this graph, so this graph IS a function.

Let me know if this helps!

Simplify xy-5x+y^2xy−5x+y 2 if x = -3 and y = 5.

Answers

The simplification of the expression [tex]xy-5x+y^2xy-5x+y ^2[/tex]  gives - 335.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

[tex]xy-5x+y^2xy-5x+y ^2[/tex]

Substitute x = -3 and y = 5.

[tex]-3\times 5-5\times -3+5^2\times -3\times 5-5\times -3+5 ^2[/tex]

= -15 + 15 - 375 + 15 + 25

= -335

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ1

The temperature of the rod was 10°C above zero. It was kept in a freezer at 2 p.m. If
its temperature decreased at the rate of 3°C per minute, at what time would be the
temperature be 8°C below zero? What would be the temperature at 3 pm ?

Answers

answer: 8:00 pm and 7°C

Find the gradient, picture below

Answers

Answer:

[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]

Step-by-step explanation:

[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]

When x = 4,

[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]

Answer:

Hello,

Answer 13/8

Step-by-step explanation:

[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]

please help if possible​

Answers

Answer:

59 cm ³

Does the answer help you?

Which of the following is the place value of the underlined digit? 35.1789
A ten-thousandths B tenths
C thousandths D hundredths

Answers

Answer:

1 = tenths place

7= hundredths place

8= thousandths place

9= ten-thousandths place

Step-by-step explanation:

A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?

Answers

Answer:

4 to 3

Step-by-step explanation:

The ratio of salt to pepper is

2/3 to 1/2

Multiply both fractions by 6

6 * 2/3 to 6 * 1/2

4 to 3

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