the sum of two consecutive even intergers is 106. what are the intergers?

Answers

Answer 1

Answer:

52 and 54

Step-by-step explanation:

These two numbers are consecutive, and 52+54=106.

Answer 2
Answer:  52 and 54

=====================================================

Work Shown:

x = some even integer

x+2 = next even integer after x

x+(x+2) = 2x+2 = sum of the consecutive even integers

2x+2 = 106

2x = 106-2

2x = 104

x = 104/2

x = 52

x+2 = 52+2 = 54

The two consecutive even integers are 52 and 54

Check: 52+54 = 106


Related Questions

The discount allowed in a store for a cash payment is 6%. Find what a buyer pays for an article whose marked prices $567.50

Answers

Answer:

A buyer would have to pay $533.45 for an article whose marked prices $567.50.

Step-by-step explanation:

Marked price = $567.50

Discount=6%

Price after discount = 567.50 - 6% of 567.50

                                  [tex]=\:567.50\:-\frac{6}{100}\:\times \:567.50[/tex]

                                   [tex]=567.5-34.05[/tex]

                                    [tex]=533.45[/tex] $

Therefore, a buyer would have to pay $533.45 for an article whose marked prices $567.50.

5x-3y=2 Determine the ordered pair

Answers

Answer:

5x - 3y = 2. -3y = -5x + 2. y = (5/3)x - 2/3. x y.

Step-by-step explanation:

5x-3y=2

-3y=-5x+2

y=(5/3)x-2/3

With Integers:x=1, y=1x=4, y=6x=7, y=11x=10, y=16x=13, y=21

Determine which of the following are solutions to the equation.
2y + x = 4
O (-2, 3)
O (5, -6)
O (3,-2)
O (4, -3)

Answers

Answer:

-2,3

Step-by-step explanation:

the x being -2 would be the x answer while 3 would be the y so it eould go like this

2(3) + -2=4

6+-2=4

Which ordered pairs make both inequalities true? Check all that apply.
First get brainliest!!!

Answers

Answer:

(0, -2) and (1, 1) both work in this system of equations.

Step-by-step explanation:

Happy to help! The best way to find if it is a solution is to look for those points on the graph. When we graph the point, it needs to fall in an area where both lines or shaded or on a solid line.  

Look carefully and see if you can find points like these!

(0, -2) falls on a solid line.  

(1, 1) falls in the double shaded area.

Therefore, (0, -2) and (1, 1) both work in this system of equations.

Good luck!

Answer:

1,1 and 2,2

Step-by-step explanation:

i just took the test

A performer expects to sell 10,000 tickets for
an upcoming concert. They want to make a
total of $721,000 in sales from the these
tickets. Assuming that all tickets have the same
price, what is the price for one ticket?

Answers

72.1
Brainliest please I’m tryna rank up

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $5. On Saturday, Rob earned $84 babysitting. How much money did he save?

Answers

He saved 30 dollars through babysitting. My math is:

84 / 14 = 6

6 x 5 = 30

I hope this helps!

What is 63/4 as a decimal?

Answers

Step-by-step explanation:

15.75 very easy.......

This figure is made from a part of a square and a part of a circle.
What is the perimeter of this figure, to the nearest unit? ______ units

Answers

Answer:

38 units (rounded off to the nearest unit)

Step-by-step explanation:

Find the perimeter of the circle part, if the circle section is a 90degree slice, then it is a quarter of the full circle's circumference[tex]Circumference=pi\times 2radius\\C=\pi \times 2(5)\\C=10\pi[/tex] now find a quarter of this then[tex]SectionCircumference=\frac{5}{2}\pi[/tex]  Then find the perimeter of the whole thing by adding the side [tex]P=10+10+5+5+\frac{5}{2}\pi =37.85[/tex]

The perimeter of the given figure will be 38 units.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

We are given that Measures of three linear sides as 5, 10, 10, 5 units.

Radius of the circular part = 5 units

Since Perimeter of a polygon = Measure of the circumference of the polygon

The Perimeter of the figure = measure of the three straight lines + measure of the circumference of the quarter circle

Thus Measure of linear sides = 5 + 10 + 10 + 5 = 30 units

Circumference of the quarter circle =  2πr

=  2π(5)

= 7.85 units

Perimeter of the figure = 30 + 7.85

                                     = 37.85

                                     ≈ 38 units

Therefore, the perimeter will be 38 units.

Learn more about perimeter here:

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Which of the following has the same value as the expression below? 4−4⋅4−64−2

Answers

Answer:

0

Step-by-step explanation:

that what goggle told me

find the zero of the linear funtion;
f(x)=5x -10

Answers

Answer: (2, 0)

When y hits zero, that's where you can find the zero thing

Expand and combine like terms. (3-8w^2)^2

Answers

Answer:

64w^4 - 48w^2 + 9

Step-by-step explanation:

(I rearranged the terms so I could solve it easier)

Expanding the square:

(-8w^2 + 3)^2

(-8w^2 + 3)(-8w^2 + 3)

Combining like terms:

64w^4 - 24w^2 - 24w^2 + 9

64w^4 - 48w^2 + 9

Final answer: 64w^4 - 48w^2 + 9

Which equation is represented by the graph below?

Answers

Answer: 2/3 x +6

Step-by-step explanation:

slope is 2/3 and y intercept is 6

Find the value of that makes m ll n.

Answers

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

Felicity the clown inflates 2 balloons in 5 minutes. Grumpy the clown ties 5 balloon animals in 12 minutes they both work at a steady rate. If Felicity maintained this constant rate, how many balloons could she inflate in one hour? If Grumpy maintained this constant rate, how many balloon animals could he tie in one hour?

Answers

Answer:

24 Balloons for Felicity

25 balloons for Grumpy

Step-by-step explanation:

Graph y = 2/5x

Graph y = 5/12x

Graph x = 60

Find intersects

(60,24)

(60,25)

What is the slope for the equation -12y = -10x + -24

Answers

Answer:The slope is 5/6Hope this helps!!

should be 5/6 if not well take a kiss muah

The tree diagram represents an
experiment consisting of two trials.
5
6 3
5
B
P(A and D) = [?]

Answers

Answer:  0.3

===============================================

Explanation:

Highlight the path that starts with A and then leads to D

Multiply the values highlighted to get 0.5*0.6 = 0.3

Effectively we've computed the following

P(A and D) = P(A)*P(D given A)

P(A and D) = 0.5*0.6

P(A and D) = 0.3

The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.

Calculate the quotient below and give your answer in scientific notation.
2.64*10^-3\8.0*10^0

Answers

Answer:

The quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex] is: [tex]\mathbf{3.3\times 10^{-4}}[/tex]

Step-by-step explanation:

We need to find quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex]

We know that [tex]10^0=1[/tex]

Now solving:

[tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}\\=\frac{2.64\cdot 10^{-3}}{8.0}\\=\frac{0.00264}{8}\\=0.00033[/tex]

Writing it in scientific notation

[tex]0.00033\\=3.3\times10^{-4}[/tex]

So, the quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex] is: [tex]\mathbf{3.3\times 10^{-4}}[/tex]

how to solve this pls I need answer fast​

Answers

There are markings given in the diagram.

(Angle) ∠A and ∠D are =

(Side) AC and DB are =

(Side) In a trapezium, the opposite sides are equivalent, meaning AB and DC are =

So you got side, angle, and another side.

You can form the SAS (Side-Angle-Side) similarity theorem.

You can also use the reasons above to make a Statement-Proof table

Complete the square for the expression, then factor the trinomial.

x^2-4x

please explain how to do it as well! :)

Answers

Answer:

0

=

(

x

2

4

x

)

5

=

(

x

2

4

x

+

4

)

4

5

=

(

x

2

)

2

9

 

so

(

x

2

)

2

=

9

or

x

2

=

±

9

or

x

=

2

±

3

so

x

=

1

or

x

=

5

Step-by-step explanation:

Help need it asap plessss

Answers

Answer:

C) $14.2

Step-by-step explanation:

$3 is flat value. minimum price. $0.8 per mile for 14 miles is 0.8x14 which equals to 11.2. Add $3 and get $14.2.

C) 14.20

.8×14=11.2

11.2+3=14.2


Somebody help me with this

Answers

Answer:

1

Step-by-step explanation:

when multiplying fractions it doesn’t matter if they have the same denominator (bottom) just multiply straight across

(6/12)x(6/3)

36/36

1

The population density of the world is calculated by finding the ratio of the total number of people in the world to the area of ​​land. Since the earth is about 1.5 x 108 square kilometers, approximately how many people would inhabit each square kilometer of the earth? Show the work and / or explain your reason

Answers

Answer:

51

Step-by-step explanation:

A = Surface area of the Earth = [tex]1.5\times 10^8\ \text{km}^2[/tex]

Total number of people on Earth = 7.594 billion as of 2018 = [tex]7.594\times 10^9[/tex]

We need to find the number of people living in each square km of land area.

So, we need to divide the number of people by the land area of the Earth.

[tex]1.5\times 10^8\ \text{km}^2=7.594\times 10^9\ \text{people}[/tex]

[tex]\Rightarrow 1\ \text{km}^2=\dfrac{7.594\times 10^9}{1.5\times 10^8}[/tex]

[tex]\Rightarrow 1\ \text{km}^2=50.63\approx 51\ \text{people}[/tex]

So, 51 people will inhabit each square km of land area.

What is the slope of the line that passes through the points (8,8) and
(20,-2)? Write your answer in simplest form.

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Answer:

-5/6

Step-by-step explanation:

Q2. At a pizzeria, a plain slice of pizza costs $1.75, and each additional
topping costs $0.75. Jared buys a slice of pizza for a total cost of $4.00.
Which equation could be used to determine how many additional toppings
Jared had on his pizza? Let x = the number of toppings.
1.75x + 0.75 = 4
1.75 -0.75x = 4
1.75x -0.75 = 4
1.75 +0.75x = 4

Answers

Answer:

1.75+0.75x=4

Step-by-step explanation:

$1.75 is the set price, and you add $0.75 for every topping.

Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4?

Answers

Step-by-step explanation:

let the equation be y - y1 = 3/4(x - x1)

sub (4, 1/3):

y - 1/3 = 3/4(x - 4)

therefore answer is option 2.

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]

Step-by-step explanation:

To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.

Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.

Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.

Simplify equation 2

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]

Plug in the point

[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]

This checks out, so equation 2 is your answer.

What is the correct answer for all? ​

Answers

Answer:

Ah man........

Step-by-step explanation:

Are you crazy??

12. C
11. A
10.B
And 9. Is Letter C

10676 rounded to the nearest 100

Answers

Answer 10700

Step by step explanation when you want to round to the nearest 100 you have to look at the tens place and when you round it 7 which will become 10 because that is close to 10 and the ones place will also change according to the number
So you will get 10700

The rounding number of 10676 nearest 100 is 10,700.

What is Rounding number?

To making a number simpler but keeping its value close to what it was, is called Rounding.

Given that;

The number is 10,676

Now, To round the number nearest to the 100 , we check the tens digit ,if the digit is equal to 5 or more then round up, and if the number is less than 5 then its round down.

Here, In the number 10,676 the digit in the tens place is 7 which is more than 5, so we can round up.

Hence, The rounding number = 10,700

Thus, The rounding number of 10676 nearest 100 is 10,700.

Learn more about the rounding number visit:

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What is the y-intercept in the equation: y = 5x + 7

Answers

Answer:

the y-intercept is 7

Step-by-step explanation:

y=mx+b

m=slope

b= y-intercept

The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.

Answers

answer is 104

Step-by-step explanation:

let the no. of girls =x

then no. of boys=x+52

A.T.Q

x+52/x=3/1

x=26

hence girls =26

and boys =78

total students =26+78=104

Answer:the ratio of boys to girls now is 21:17 now you just at 21 and 17 which is 38 then that’s the answer.

Step-by-step explanation:

Simplify the following expression by combining like terms:
- 2 +63 +2 - 2x + 8 - 4:

Answers

Answer:

6+4x-3z

Step-by-step explanation:

-2+6x+z-2x+8-4z

6+6x+z-2x-4z

6+4x+z-4z

6+4x-3z

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