The larger of two numbers is twelve more than the twice smaller number. The sum of the numbers is 42. Find the two numbers . Please set up a , set up the equation , and then solve the equation .​

Answers

Answer 1

Answer:

             The smaller number:  a = 10

             The larger number is 32

Step-by-step explanation:

a - the smaller number

2a - twice the smaller number

2a+12   - twelve more than the twice smaller number (the larger number)

a + 2a+12  - the sum of the numbers

a + 2a+12 = 42

     -12              -12

          3a  =  30

          ÷3       ÷3

            a = 10

2a+12 = 2×10+12 = 20+12 = 32

Check:   10+32=42


Related Questions

Jamie is saving $50 per month from his pay check to buy a new video game system. The system costs $325, the controller costs $53, the power adapter costs $33 and the total cost of two games is $71. Use front-end estimation to estimate the cost of all the items. Then, choose the best estimate of the number of months it will take Jamie to save enough money to pay for all of the items.

Answers

Answer:

Using front estimation, the cost of all the items is $450 and it will take 9 months to save enough

Step-by-step explanation:

Here, firstly we want to use front-end estimation to estimate the cost of all the items.

So we want to use front end estimation to add;

325 + 53 + 33 + 71

Thus; 325 becomes 300, 53 becomes 50, 33 becomes 30

while 71 becomes 70

So the estimated total will be;

300 + 50 + 30 + 70 = 450

Now , since he saves $50 per month, the number of months it will take = 450/50 = 9 months

Somebody please help ASAP!!

Answers

so it is gonna be 24 but if am wrong sorry

The answer will be four

How many people in the community have cell phones this year?

Answers

Answer:

The vast majority of Americans – 96% – now own a cellphone of some kind. The share of Americans that own smartphones is now 81%, up from just 35% in Pew Research Center’s first survey of smartphone ownership conducted in 2011. Along with mobile phones, Americans own a range of other information devices. Nearly three-quarters of U.S. adults now own desktop or laptop computers, while roughly half now own tablet computers and roughly half own e-reader devices.

Step-by-step explanation:

Answer:

Here:

Step-by-step explanation:

35.13% of people have cellphones in the world.

find the difference quotient of f(x)=2x/x+3

Answers

Answer:

Answer:

f=

5

x

Step-by-step explanation:

Let's solve for f.

fx=

2x

x

+3

Step 1: Divide both sides by x.

fx

x

=

5

x

f=

5

x

3/4+1/2 what is the full equation

Answers

The answer to this is 1.25
3/4+1/2= 1 1/4

Explanation: 1/2= 2/4 so you take away the Denominator and do 3+2 and it obviously equals 5 so you put you put the denominator back and it’s 5/4, the mixed number 1 1/4 so 1 1/4 should be your answer

What is the relationship between a and c if a=b+12 and b=c+4

Answers

Answer:

if c = 4, it is 1/4 of a

Step-by-step explanation:

if c = 4,

b = c + 4 = 4 + 4 = 8

b = 8

a = b + 12 = 8 + 12 = 20

20/4 = 5

if c = 4, it is 1/4 of a

Help pls! Type in your response as a whole number with no extra symbols , variables, or spac

Answers

Answer:

63

Step-by-step explanation:

Because the two labelled angles make up a line, we know their sum is 180.

So, add them and set them equal to 180:

2x + (x - 9) = 180

Combine like terms:

3x - 9 = 180

3x = 189

x = 63

Thus, the answer is 63.

~ an aesthetics lover

What is the measure of angle TSU?​

Answers

Answer:

80

Step-by-step explanation:

Angle VSU = 100. Angles TSU is a linear pair with angle VSU so adding them together equals 180. 180-100=80.

find the sum of -3x^2-x-10 and 10x^2+x-10

Answers

Answer:

7x^2-20

Step-by-step explanation:

Answer:

1. -2

2.-10

Step-by-step explanation:

The model represents an equation.

Answers

Answer:

2.25

Step-by-step explanation:

-3x+10=5x-8

    +8       +8

-3x+18=5x

+3x     +3x

      18=8x

      _    _

      8    8

   2.25=x

The graph of y = ax^2+ C contains the point (2, 14). Which point lies on the graph of y = a(x - 2)² + c?

Answers

Given:

The graph of [tex]y = ax^2+c[/tex] contains the point (2, 14).

To find:

The point which lies on the graph of [tex]y = a(x-2)^2+c[/tex].

Solution:

Consider the given equations are

[tex]y_1 = ax^2+c[/tex]     ...(i)

[tex]y_2 = a(x-2)^2+c[/tex]      ...(ii)

The translation is defined as

[tex]g(x)=f(x+a)[/tex]

where, a is horizontal shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

From equation (i) and (ii), it is clear that a=-2. So, graph of [tex]y = ax^2+c[/tex] shifts 2 units right to get the graph of [tex]y = a(x-2)^2+c[/tex].

It means each point on [tex]y = ax^2+c[/tex] shifts 2 units right.

[tex](x,y)\to (x+2,y)[/tex]

(2, 14) lies on [tex]y = ax^2+c[/tex].

[tex](2,14)\to (2+2,14)[/tex]

[tex](2,14)\to (4,14)[/tex]

Therefore, (4,14)  must be lies on [tex]y = a(x-2)^2+c[/tex].

Please help me !!!!! It's easy just I don't pay attention today

Answers

Answer:

x = 77

61 + 42 = 103

180 - 103 = 77

20 pounds of per food for $14.99

Answers

What exactly are we solving here

Julio ​says, "If you subtract 16 from my number and multiply the difference by −6​, the result is −138​." What is Julio​'s ​number?

Answers

Answer:

-7

Step-by-step explanation:

use X to represent the unknown number

(x-16) -6=-138

-138/6= -23

(x-16)=-23

add 16 to both sides

x= -7

Julio's number is -7

you can also plug it back into the formula to prove it is right

how much is 10 lb of sugar cost

Answers

Answer:

3.75

Step-by-step explanation:

help me... the angle pairs.. for example linear pair, vertical angles... that stuff.... I said that because last time I asked this I was getting answers not the angl pairs​

Answers

Answers:

Angle 1 and 3:  Vertical Angles

Angle 4 and 8: Corresponding Angles

Angles 4 and 6: Alternate Interior Angles

Angles 3 and 5: Alternate Interior Angles

Angles 7 and 8: Linear Pair

Angles 1 and 7: Alternate Exterior Angles

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

Explanation:

Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.

Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.

Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.

A linear pair of angles are adjacent and supplementary (meaning they add to 180).

I need help with this can someone give me an answer, please

Answers

The slope is 2.
There are multiple ways:
Create “triangles” on the graph going up 2 and over 1.

This one is probably the best ~
Pick a point and divide y/x and you should get two.

help me on 1,2,3, and 4 please

Answers

Answer:

I think I got linear function on 3 and 2 I got 56.42 but I think that's wrong but yeah sorry.

Step-by-step explanation:

Please helppp!!!!!!


Given: AE = BD; CD = CE

Prove: AC = BC



ik it’s wrong

Answers

1) AE = BD; CD = CE

Given

2) AE = AC + CE

Subtraction Property of Equality

3) AC +CD= BC + CD

Segment Addition Postulate

4) AC +CD= BD

Symmetric Property of Equality

5) BD = AC + CD

Segment Addition Postulate

6) BD =BC+CD

Transitive Property of Equality

7) AC = BC

Substitution Property of Equality

I think this is it

To prove that AC and BC are congruent, all usable postulates and theorems must be stated, with valid reasons.

The proof that [tex]AC \cong BC[/tex] is as follows:

Given:

[tex]AE = BD, CD= CE[/tex]

I've added as an attachment, the table that needs to be completed.

[tex]1.\ AE = BD, CD= CE \to[/tex] Given

Because the given parameters are:  

[tex]AE = BD, CD= CE[/tex]

[tex]2.\ AC \cong BC \to[/tex] Definition of congruence

[tex]3.\ AE =AC + CE \to[/tex] Segment addition postulate

From the attached image, AE is a straight line, and point C is on segment AE.

[tex]4.\ BD=AC +CD \to[/tex] Substitution property of equality

Substitute BD for AE and CD for CE in (2)

[tex]5.\ AC +CD =BD \to[/tex] Symmetric property of equality

The symmetric property of equality states that:

if [tex]a = b[/tex], then [tex]b = a[/tex]

[tex]6.\ BD =BC +CD \to[/tex] Segment addition postulate

From the attached image, BD is a straight line, and point C is on segment BD.

[tex]7.\ AC+CD =BC+CD \to[/tex] Transitive property of equality

The transitive property of equality states that:

if [tex]a = b[/tex] and [tex]b = c[/tex], then [tex]a=c[/tex]

[tex]8.\ AC =BC \to[/tex] Subtraction property of equality

Subtract CD from both sides of (6)

[tex]9.\ AC \cong BC \to[/tex] Proved

Read more about proofs and reasons at:

https://brainly.com/question/11876259

Does changing the compound inequality x > −3 and x < 3 from “and” to “or” change the solution set? Explain.

Answers

Answer:

Sure yes.

1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3),  which is all the real numbers.

2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).

Step-by-step explanation:

looked it up and got it right on edg 2020

Answer:

Sample Response: Yes, if you change the type of compound inequality, the solution set will change. The solution set of the “and” compound inequality contains values for x that satisfy both inequalities, which are values between –3 and 3. The solution set of the “or” compound inequality contains values for x that satisfy either or both inequalities, which includes all real numbers.

Step-by-step explanation:

Simplify each square root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.

Answers

Answer:

1. √121=11 Rational

2. √48=4√3 Irrational

Step-by-step explanation:

1. √121=11 Rational

2. √48=4√3 Irrational

To divide 5 divided by 5/6 using a model, you should draw five fraction bars and divide each bar into?

Answers

Answer:

I think it may be six , but I may be wrong

Step-by-step explanation:

Answer:

sixths

Step-by-step explanation:

Remember the denominator is the number you are dividing the pieces into. Thats why we call it a di"vid'end.

please help me someone.. ​

Answers

Answer:

A. 60√3 ft²

Step-by-step explanation:

Please help ASAP please please

Answers

Answer:

C

Step-by-step explanation:

0.38 = 19/50

Hope this helps!

Answer:

19/50

Step-by-step explanation:

19×100=1,900

1,900÷50=38%

Cameron is flying 8,000 feet above sea level. Directly below her, she sees a whale 50 feet below sea level. Which absolute value expression represents the distance between Cameron and the whale? A) |8,000 − 50| B) |8,000 − (−50)| C) |−8,000 +50| D) |−8,000 − (−50)|

Answers

Answer:

D) |−8,000 − (−50)|

Step-by-step explanation:

When we are dealing with questions involving above or below sea level,

The formula for the Absolute value expression representing the distance = | Height above sea level -(Distance below sea level|

Height of Cameron above sea level = 8000ft = -8000

Distance of the whale below sea level = 50ft = -50

Hence, we have:

|−8,000 − (−50)|.

Option D is the correct option

What is the equation of line l

Answers

Answer:

Step-by-step explanation:

B

Help Please!!!!!!!!!!!!

Answers

Yea I can’t really see the question please make it a little bit more clearer

I need help on this question plzzz I need to know which table is proportional!!!

Answers

Answer:

Allison's table is not  proportional

Step-by-step explanation:

Casey's is proportional because all her numbers are x30

Answer:casey

Step-by-step explanation: do 150 divided by 5 =30 and do the same for the rest

A carpenter installed 60 sheets of drywall in 10 minutes. What is the rate per minute?

Answers

Answer:

6 sheets a minute

Step-by-step explanation:

60 sheets in 10 minutes can be converted to the equation 60/10.

60/10 is equal to 6/1 which can be simplified to 6. So, the answer is 6 sheets per minute.

hope this helps!

The quotient of a number and ten

Answers

the answer would be q/10
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