Three consecutive numbers integers add up to 123. What are the numbers?

Answers

Answer 1
think of it as (x)+(x+1)+(x+2)=123
you get 3x+3=123
subtract 3 from both sides then divide by 3 and you get x=40
the numbers are 40,41,42

Related Questions

the subject of the formula is 9.
y=4x+3
rearrange the formula to make x the subject.

Answers

Answer:

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

Step-by-step explanation:

[tex]y = 4x + 3 \\ y - 3 = 4x \\ \frac{y - 3}{4} = \frac{4x}{4} \\ x = \frac{y - 3}{4}[/tex]

I don’t really need a explanation just give answer For both questions

Answers

Number 1 is C
Number 2 is B
Answer

x = 4 and y= 4

Write an equation for the line in slope-intercept form.

Answers

Answer:

y=2x+2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b where b is the y intercept and m is the slope. From the graph we can see that where x is 0 y is 2 which makes 2 be the y intercept, and when x is 1 y is 4 which then you replace y for 4 and x for 1 which would be 4=m(1)+2,now u subtract 2 from both sides which leaves you with 2=m(1) and m times 1 is m so now your left with 2=m which means the slop is 2

What is the standard form of the following equation? 4x2 + 9y2 + 24x – 36y + 36 = 0

Answers

Answer:

[tex]\frac{ (x+3)^2}{9} + \frac{ (y-2)^2}{4} =1[/tex]

-step explanation:

The standard form of the given equation was reduced, representing an ellipse.

The given equation is:

[tex]4x^{2} +9y^{2} +24x-36y+36=0[/tex]

What is an equation?

An equation is a statement that equates to two expressions.

We know the above equation represents an ellipse.

Rearranging the given equation

[tex]4x^{2} +24x+9y^{2} -36y+36=0[/tex]

[tex]4(x^2+6x)+9(y^{2} -4y)+36=0[/tex]

[tex]4(x^2+6x+9)+9(y^{2} -4y+4)=36[/tex]

[tex]4(x+3)^2+9(y-2)^2=36[/tex]

[tex]\frac{4(x+3)^2}{36}+\frac{9(y-2)^2}{36} =1[/tex]

[tex]\frac{(x+3)^2}{9}+\frac{(y-2)^2}{4} =1[/tex], which is the standard form of the given equation.

Hence, the standard form of the given equation was reduced.

To get more about an ellipse visit:

https://brainly.com/question/450229

How much is 4 dollars 5 quarters 4 nickels and 1 pennies

Answers

Answer:

$5.55

Step-by-step explanation:

Given the following question:

We are given 4 dollars, 5 quarters, 4 nickels, and 1 penny.

[tex]1d=1d[/tex]
[tex]4=4[/tex]

[tex]1q=0.25[/tex]
[tex]0.25\times5=1.25[/tex]
[tex]5q=1.25[/tex]

[tex]1n=0.5[/tex]
[tex]0.5\times4n=0.20[/tex]
[tex]4n=0.20[/tex]

[tex]1p=0.1[/tex]

[tex]4+1.25+0.20+0.1=5.55[/tex]
[tex]=5.55[/tex]

The money together in total is worth "$5.55."

Hope this helps.

Santiago's Snow Globes designs custom snow globes. To ship a recent large order, Santiago's Snow Globes first packed individual snow globes in cube-shaped boxes with edges 6 inches long. The boxes were packed into a larger shipping container until it was completely full. The shipping container is shaped like a rectangular prism that is 24 inches long, 24 inches wide, and 30 inches tall

Answers

The number of boxes packed to fill the rectangular prism shaped container is: 80 boxes.

What is the Volume of a Rectangular Prism?

Volume = length × width × height.

Find the volume of one cube-shaped box:

Volume = 6 × 6 × 6 = 216 in³

Find the volume of one rectangular prism:

Volume = length × width × height = 24 × 24 × 30 = 17,280 in³.

Number of boxes packed to fill the rectangular prism shaped container = 17,280/216 = 80 boxes.

Learn more about volume of rectangular prism on:

https://brainly.com/question/12917973

Can someone help me on this please

Answers

Answer:

1. 2(2w + w)

2. 2(2w) + 2(w)

Step-by-step explanation:

The formula to find the perimeter of a rectangle is [tex]2(l+w)[/tex], and we can easily apply it with this rectangle as 2(2w + w).

You can find another expression by simplifying 2(2w + w), which is 2(2w) + 2(w).

Work out 3x-y divided by 2.
When x=9 and y=2

Answers

Answer:

19682

Step-by-step explanation:

3^9-2÷2

19683-2÷2

19683-1

19682

try this instead

Hey there!

3x - y / 2

= 3(9) - 2 / 2

= 27 - 2 / 2

= 25 / 2

= 12.5

≈ 12 1/2


Therefore, your answer is: 12.5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)


What is the slope of the line that contains these points?

Answers

The slope can be found with two sets of points

The points can be any points, but in this case I choose the point (-1,10) and (1,2)

Slope = [tex]\frac{y2-y1}{x2-x1} =\frac{10-2}{-1-1} =\frac{8}{-2} =-4[/tex]

The slope of the line that contains these points is -4.

Hope that helps!

Suppose y varies directly as x, and y = 5.4 when x = 9. Find x when y = 24.

Answers

Answer:

[tex]x = 40.[/tex]

Step-by-step explanation:

[tex]if \: \: y = kx \: then \\ k = y \div x \: and \: x = y \div k \\ so \: k = 0.6 \: and \: x = 40 \: when \: y \: is \: 24.[/tex]

Solve for b in the literal equation a b = c.

Answers

Answer:

b = [tex]\frac{c}{a}\\[/tex]

Step-by-step explanation:

divide both sides by a

OR

bring the a over to the other side and put it under the c as the opposite of times is divide

Cindy wants to paint a border around her circular picture frame. The
distance around the frame was 18 inches. What is the approximate
diameter of the picture frame?
O 12 in
5 in
6 in
13 in

Answers

Answer

6 inches

Step-by-step explanation:

a. 36 ft
b. 6 ft
c. 12 ft
d. 3 ft

Answers

6ft B is the correct answer

In the equation x + y = 6, find the value of x if y = 2
A. 2
B. 4
C. 6
D. 12

Answers

Answer: B

Step-by-step explanation:

The perimeter of a rectangle is 40 units. The length of the rectangle, L, is 7 units.

Answers

Answer:

L=7

W=13

Perimeter=40

Area=91

Step-by-step explanation:

Perimeter = 2L+2W

40=2(7)+2W

40=14+2W

-14  -14

26=2W

Divide both sides by 2

13=W

Area=L x W

7 x 13 = 91

Answer:

length = 7 units

width = 13 units

area = 91  square units

perimeter = 40 units

Step-by-step explanation:

What is the area of a rectangle?

  ❖ The area of a rectangle can be found by multiplying the length and

       width of the rectangle.

What is the perimeter of a rectangle?

  ❖ The perimeter of a rectangle is the sum of all sides- length and

       width. In this case, we're given the perimeter as 40 units and the

       length as 7 units, but the width is unknown. Formula to find

       perimeter of rectangle is 2(l + w) = P.

Solving for Width

[tex]40=2(7+w)[/tex] [tex]40=14+2w[/tex] [tex]26=2w[/tex] [tex]w=13[/tex]

Solving for Area

[tex]7*13[/tex] 91 square units

SOMEONE HELP A GIRL OUT PLSSALOT OF POINTS ​

Answers

GiRL i got u period go subscribe to my utube and follow my ing at iiam.sneek

Answer:

I think it is the second option

Step-by-step explanation:

A student adds 10 grams of four different powdered solids into four different beakers. The student then adds 100 mL of water to each beaker, stirs the mixtures, and allows them to sit for half an hour before recording observations. Which question is the student most likely trying to answer with this investigation?

Answers

Answer:

Which substance dissolves in water?

Step-by-step explanation:

The student adds the same amount of substance of different types i.e., 10 grams to each beaker and the same amount of water i.e., 100 mL to each beaker. All of them are stirred and observations are taken down at the end of thirty minutes.

That is all that is mentioned in the question. The student is most likely measuring which substance dissolves in water. As all the other variables are kept constant.

So, the student here is most likely trying to answer the question "Which substance dissolves in water?"

A system of linear equations is given by these equations 3y-2x=-9 y=-2x+5 The solution to this system is

Answers

Answer:

(3, -1) or x=3, y=-1

Step-by-step explanation:

using substitution for y, the first equation becomes 3(-2x + 5) - 2x = -9

distribution of the 3 gets your equation to be -6x + 15 - 2x = -9

from here you combine like terms to get -8x + 15 = -9

from here it's just a two step equation

subtract 15 from both side to get -8x = -24

divide and get x = 3

substitute x in the equation for y to get y = -2(3) + 5

distribution gets you y = -6 + 5, which makes y = -1

to check your work you can just plug in the variables equivalents in the first equation, which upon doing you can see that the answer is indeed 3, -1

Answer:

(3,-1)

Step-by-step explanation:

Plato

Express
2x^2 + 8x + 3
in the form 2(x + p)^2+q

Answers

2(x+p)^2+q=2x^2+4px+(2p^2+q), compare with ..... 2x^2 + 8x+3 p=2,W=3-2p^2=-5, so the result is 2(x+2)^2-5

What is the diameter for a circle with 32 cm, 34 cm, and 39 cm? Please and thank you!

Answers

Answer:

64; 68; 78

Step-by-step explanation:

The diameter of a circle is the radius of the circle times two.

hope I helped you! :)

Find the slope and y-intercept of the graph of the linear equation. y=-3x+2

Answers

Answer:

Slope= -3

y-intercept= (0,2)

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Find the value of X.

Answers

Answer:

x=13

Step-by-step explanation:

Answer:

Step-by-step explanation:

(11x-15)+(5x-13)=180

11x+5x=180+13+15

16x=208

x=13

d + 6 + 2d, when d = 4

Answers

Answer:

4+6+2(4)

10+8

18

the answer is 18

Answer:

18

Step-by-step explanation:

d+6+2d

4+6+2(4)

10+2(4)

10+8

18

Rolling a 3 or rolling an odd number on a six sided die. Is it mutually exclusive or non-mutually exclusive? Give one reason.

Answers

Answer:

Non-mutually exclusive

Step-by-step explanation:

both events can happen simultaneously... 3 is an odd number, events A and B  have a common outcome.

It would be mutually exclusive if event A was rolling a 4 and event B was rolling an odd number.

Answer: Non-Mutually Exclusive

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

Explanation:

Ask yourself "is it possible to get a 3 and an odd number at the same time?"

The answer is "yes, because 3 is an odd number"

This is why they are non-mutually exclusive.

Mutually exclusive events cannot happen at the same time. In terms of a venn diagram, mutually exclusive events would be represented by two circles that do not overlap. The overlapping region is where the two events happen at the same time. An example of mutually exclusive events would be flipping a single coin to land on heads and tails at the same time.

Write an equation for the graph in the photo.

Answers

Answer:

1.75x

Step-by-step explanation:

Help me solve this equation..

Answers

Let a be the area of the triangle

Let b be the area of the parallelogram

[tex]a = \frac{16 \times 9}{2} = 72 \: cm {}^{2} [/tex]

[tex]b = 30h \: cm {}^{2} [/tex]

Given that b is 5 times larger than a

b=5a

[tex]30h = 5(72)[/tex]

[tex]h = \frac{360}{30} = 12 \: cm[/tex]

Solve the system of equations.
Choose your method:
2x - y = 7
x - y = 10

Answers

-8y is the answer....

Sense or nonsense Peter and Jade are using what they know about properties to write an expression equivalent to 2×(n+6)+3 whose answer makes sense? Whose answer is nonsense? Explain your reasoning.

Answers

Answer:

Jade's work makes sense, Peter's does not.

Step-by-step explanation:

What's wrong with Peter's work:

Peter did not apply associative property correctly. You cannot change what is inside the parenthesis. He also shouldn't be using associative property to solve this equation because it just doesn't make sense!

Jade's work:

She applied distributive property correctly and multiplied each term in the parenthesis by 2. All of her processes are logical and make sense! I could go on, but everything is correct lol

Best of wishes mate!

Answer:

Jade because she followed the correct order of operations.

Step-by-step explanation:

Always remember your order of operations.

P - parentheses

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

Please Excuse My Dear Aunt Sally is the common phrase used to remember though I find PEM-DAS just as easy to remember.

Paul has a 3/4 inch long bolt. he buys a bolt that is longer 1/8 and a bolt that is inch shorter 3/4 - inch than the bolt. what are the lengths of the two bolts he buys?

Answers

Answer:

Step-by-step explanation:

The first bolt he buys has length 3/4 in plus 1/8 in, which comes out to

6/8 + 1/8 inch, or 7/8 inch.

The second bolt length cannot be determined using the information given:  "3/4 - inch shorter."  Ensure that you have copied down this probjem completely and accurately.

HELP ME PLEASE:(:(:(

Answers

Here are the first three the last -I’m always scared to work with fractions lol

Answer:

Step-by-step explanation:

42. -5  -2   -2   3   8

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