The sum of two consecutive even integers is 122. What are the two numbers?

Answers

Answer 1

Answer:

Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122

Step-by-step explanation:

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Answer 2

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62


Related Questions

auestion is in the picture, 10 points!

Answers

Answer:

  y = K/(16z)

Step-by-step explanation:

  [tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]

Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3

Answers

Answer:

the coomon factor is 3xy³

by factoring we get

3xy³(4y-7xy²z+12)

Eric bought a few marbles and divided equally among four of his friends and his brother, Imer. Eric lost 2 marbles and has only 7 marbles left. How many marbles did Eric buy in all.

Answers

Answer:

54 marbles

Step-by-step explanation:

7+2=9(amount Eric had in all)

9×6=54

so in all, he bought 54 marbles which he shared among his friends and brother.

ANS:54 marbles

$6.00 for 3 chocolate bars how many did he pay per bar

Answers

Answer:

$2.00

Step-by-step explanation

To solve this problem, divide $6 by 3 bars which is $2 a bar

Answer:

One bar= $2

Step-by-step explanation:

6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match the systems of equations to their solutions.

2x + y = 12

x = 9 - 2y

x + 2y = 9

2x + 4y = 20

x + 3y = 16

2x - y = 11

y = 11 - 2x

4x - 3y = -13

y = 10 + x

-3x + 3y = 30

2x + y = 11

x - 2y = -7

x = 2, y = 7

x = 5, y= 2

x= 3, y=5

x = 7, y=3

Answers

Answer:

the answer is 87 keep trying also the answer 45 aha tricked you

Step-by-step explanation:

um not sure of the answer but loo-kit u p on o just keep trying quay

Answer:

Hey I got you!

Step-by-step explanation:

These are the correct answers I use another easier platform you could say

please help me 8x-3+4x+3​

Answers

Answer:

12x

Step-by-step explanation:

please help me 8x-3+4x+3​

8x - 3 + 4x + 3​ =

8x + 4x  - 3 + 3 =

12x

Answer:

12x

Step-by-step explanation:

1. To simplify this expression, we must group like terms.

[tex](8x + 4x) + (-3 + 3)[/tex] [tex]12x + (-3+3)[/tex] [tex]12x[/tex]

Therefore, the answer is 12x.

What is the value of x?

Answers

C. x = 36

explanation it is a straight angle which means it adds up to 180.
180-72=108
3x=108
x=36

Answer:

AC is straight line.

72°+3x=180°[linear pair]

3x=180°-72°

3x=108°

x=108°/3

x=36°

option c.

Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.

A letter is randomly chosen from the alphabet.

Answer 1:

A. Infinite

B. Finite

Answer 2:

A. Discrete

B. Continuous

Answers

Answer:

Answer 1

Because the alphabet can end,it is not unlimited

which ordered pair is a solution to the equation?

Answers

B bc I need points !
If you have the time, it is easiest to just plug in the first part of the coordinate pair (the x value) into the x variable into the equation,
and the y value into the y variable.
A. 10 = (-2/3)(-3/2) + 9
10 = (6/6) + 9
10 = 1 + 9
10 = 10
choice a is correct

write down, all the multiples of 8 less than 80​

Answers

Answer:

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72.

Answer:

8, 16, 24, 32, 40, 48, 56, 64, 72

Step-by-step explanation:

8, 16, 24, 32, 40, 48, 56, 64, 72

A jar contains 450 beans. Of all beans, 1/5 are mung beans and the rest are pinto beans. What is the ratio of mung beans to pinto beans?

PLEASE HELP ME!​

Answers

Answer is  1:4

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

Explanation:

1/5 of the beans are mung, so 4/5 of the beans are pinto. The two fractions add to 5/5 = 1.

Ignore the denominators and focus on the numerators for each fraction. We have 1 mung and 4 pinto. The values are read in this order to form the ratio 1:4 which is our answer. We cannot reduce this ratio any further.

The order is important because saying 4:1 would mean that we have 4 mung beans and 1 pinto, when it's the other way around.

Side note: The value 450 isn't needed. We could easily change it to any other multiple of 5 and get the same exact answer.

Answer this and explain please

Answers

Answer:

x = 3

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:

15x + 5 + 22x + 4 = 120 add like terms

37x + 9 = 120 subtract 9 from both sides

37x = 111 divide both side by 37

x = 3 and to find the angles replace x with 3 in given expressions


Find the equation of this line.
(0,1)
(-3,0)|
y =
x+

Answers

Answer:

y = 1/3x +1

Step-by-step explanation:

y intercept is 1 and the rise is one with a run of 3

Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ? ​

Answers

Answer:

243 km

precio de los kilómetros: $2357.10

Step-by-step explanation:

precio total = tarifa mínima + precio de los kilómetros

Para x kilómetros,

P = 490 + 9.7x

P = 2847.1

490 + 9.7x = 2847.1

9.7x = 2357.1

x = 243

precio de los kilómetros: 243 × $9.70/km = $2357.10

Respuesta: 243 km

precio de los kilómetros: $2357.10

Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)

Answers

Answer:

y - 2 = -1/3 (x + 3)

Step-by-step explanation

Sorry!

 Point-slope form )

Slope = (-1 -2)/(6 - (-3)

Slope = -3/9

Slope = -1/3

 Using the point-slope formula and point (-3, 2)

y - 2 = -1/3(x - (-3)

y - 2 = -1/3 (x + 3)  This is = to y = -1/3(x + 3) +2

a number y divided by 4 is greater than 22

Answers

Answer:

y ÷ 4 ≥ 22

Step-by-step explanation:

I can't find the greater than symbol, but just write the "≥" without the line underneath

Answer:

44

Step-by-step explanation:

Let the number be X

B/P,

X/4=22  Or, X=22*4

X=88

X/2=88/2=44

So the quotient of the number when divided by 2 is 44.

Hope it help and if it its correct please give brainliest

Stay Safe and healthy

Thank You

Mallika and Kishore have the same numbser o marbles. To have 100 marbles they must pool their marbles together and then gset 30 more. " which equation represents the above relationship?

Answers

Number of marbles with Mallika = x

Number of marbles with Kishore = x (same number of marbles)

To get 100 marbles = x + x + 30

=》x + x + 30 = 100

2x + 30 = 100

2x = 100 - 30

2x = 70

x = 70/2

x = 35

■ Final answer =》Mallika & Kishore both have 35 marbles each.

■ Equation =》2x + 30 = 100

■ Equation type =》Linear equation in 1 variable

______

Hope it helps ⚜

The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mallika and Kishore have the same number of marbles.

And, To have 100 marbles they must pool their marbles together and then get 30 more.

Now,

Since, Mallika and Kishore have the same number of marbles.

Hence, Let the number of marbles = x

So, We can formulate;

⇒ x + x + 30 = 100

⇒ 2x + 30 = 100

⇒ 2x = 100 - 30

⇒ 2x = 70

⇒ x = 35

Thus, Number of marbles each have = 35

And, The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

Learn more about the mathematical expression visit:

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Select all that are solutions to the inequality below:
3x - 15 > 3

Answers

Answer:

solutions are all values greater than 6

Step-by-step explanation:

add 15 to each side to get:

3x > 18

divide each side by 3 to get:

x > 6

solutions are all values greater than 6

If triangle he an area of 36 and a height of 12 calculate the length of the base.

Answers

Answer:

Below.

Step-by-step explanation:

A = 1/2bh for a triangle.

36 = 1/2b(12)

36 = 6b

----    ----

6        6

b = 6

Which of the following are cube numbers. select all that apply
8/9
27
30
8/27
1/27
27/64
64
1/9

Answers

Answer:

Step-by-step explanation:

8/9    8 is a cube but 9 is not.  8/9 is not a cube

27      27 = 3^3, a perfect cube

30      Not a cube

8/27   Both 8 and 27 are perfect cubes, and so 8/27 is one also.

1/27    This is equivalent to 1^3 / 3^3 and is a perfect cube.

27/64  Both 27 and 64 are perfect cubes, so 27/64 is one also

64        64 = 4^3, a perfect cube

1/9        9 is not a cube, so 1/9 is not one either.

A rectangular field is four times as long as it is wide. If the perimeter of the field is 410 yards, what are the​ field's dimensions?

Answers

The length of the rectangular field is 164 yards and the width is 41 yards

From the question,

We are to determine the fields dimensions

From the given information

A rectangular field is four times as long as it is wide

That is

l = 4w -------- (1)

The perimeter of a rectangle is given by

P = 2(l + w)

Where

P is the perimeter

l is the length

and w is the width

From the given information

The perimeter of the field is 410 yards

∴ 2(l + w) = 410 ------ (2)

Substitute equation (1) into equation (2)

2(4w + w) = 410

2(5w) = 410

10w = 410

∴  w = 410 ÷ 10

w = 41 yards

Substitute the value of w into equation (1)

l = 4(41)

l = 164 yards

Hence, the length of the rectangular field is 164 yards and the width is 41 yards.

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Make x the subject of the equation x2+3=h​

Answers

Answer:

x2\2+3\2=h/2 therefore x= -3\2+h\2

a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. if the fencing costs per linear foot to install and the farmer is not willing to spend more than , find the dimensions for the plot that would enclose the most area.

Answers

The constraint for the maximum enclosed area is the amount the farmer is

willing to spend on fencing.

The width of the plot that will give the most area, y = 83.[tex]\underline{\overline 3}[/tex] feet

The length of the plot that will give the most area, y = 125 feet

Reasons:

The given parameters are;

The cost of fencing per foot = $20

The maximum amount the farmer is willing to spend = $5000

Number of sides of fencing = 3 sides

Cost of the west side of the = Split with neighbor

Solution:

Let, y, represent the length of the fence, and let x represent the width of

the fence, we have;

Length of fence required = y + 2·x

Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x

Therefore;

Maximum amount to be spent on the fence, 5000 = 20·y + 30·x

[tex]\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x[/tex]

[tex]y = \mathbf{250 - \dfrac{3}{2} \cdot x}[/tex]

Area of a rectangle = Length × Width

The enclosed rectangular area of the fencing, A = y × x

[tex]\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2[/tex]

[tex]\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}[/tex]

The leading coefficient of the quadratic function of the area is negative,

therefore, the function only has a maximum point.

At the point of the most area, the slope, [tex]\dfrac{dA}{dx} = 0[/tex]

Finding the value of x at the maximum point, we get;

[tex]\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0[/tex]

Therefore;

[tex]\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}[/tex]

[tex]\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125[/tex]

The length of the plot that will give the most area, y = 125 feet

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question below on photo pls quick

Answers

I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1

Rose spent 124 on 10 cars & 4 cats what is the cost for 1 car & 1 cat.

Answers

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

Help me pls

Find angle fgh

Answers

Answer:

116

Step-by-step explanation:

Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:

[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]

Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]

Answer:

Angle fgh=116

Step-by-step explanation:

Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:

(2x+20)=(5x-37)

Now we set the equations equal to each other to solve for x

-3x=-57

Divide the -3 by both sides

x=19

Now we have to plug the x into the equations

2(19)+20 and 5(19)-37

Our answer is 58 for both equations

Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.

SO our final answer is 116

(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)

Harry has a balance of $-60.00. He buys 4 bags of apples at the store. 1 bag of apples costs $3. What is his balance now? Explain whether he is making a good financial decision.

Answers

Answer:

I may not know his balance but I think he's not making a good financial decision because he already has - $60 in his account and he's spending more making him more liable to burn money and it's not advisable

The balance of his account after buying the apples would be $-72.00. It is definitely not wise to go deeper into debt for some apples.

Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?

Answers

if I did it right then it's $32.38.


ANSWER FAST PLEASE !!




Use synthetic division and the remainder theorem to find P(a).
P(x) = x^3 + 5x^2 - 6x +6; a = 4
P(a) =
Simplify your answer

Answers

Answer:

[tex]1 + 2 = [/tex]

answer

h=19+3.5w. What could the number 3.5 represent in the equation?

Answers

This number could represent the height of 19 and then you add 3.5 of something :)

Answer:

the slope of the equation

Step-by-step explanation:

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