Sam's mother is twice as old as Sam. In 12 years, Sam will be as old as his mother was 12 years ago. How old are Sam and his mother now?

Answers

Answer 1

Answer:

Sam is 24 years old and his mother is 48 years old.

Step-by-step explanation:

Equations

Let's call

x   = Sam's current age

Since Sam's mother is twice as old as Sam:

2x = Sam's mother current age

x + 12 = Sam's age in 12 years

2x - 12 = Sam's mother age 12 years ago

These two last expressions are equal:

x + 12 = 2x - 12

Subtracting x and adding 12:

x = 24

2x = 48

Sam is 24 years old and his mother is 48 years old.

Answer 2

Sam, is 24 years old. His mom is 48 years old.


Related Questions

Evaluate acb−(a+d) if a=−2 , b=3 , c=−12 , and d=−4 .

Answers

Answer:

78

Explanation:

acb − (a + d)

a = -2b = 3c = -12d = -4

= (-2) (-12) (3) - (-2 + -4)

Parenthesis: (-2 + -4) = -6

= (-2) (-12) (3) - (-6)

Simplify (-2) (-12) (3): 72

72 - (-6)

78

if a=−2 , b=3 , c=−12 , and d=−4 for expression  acb−(a+d) then its value is 78.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is acb−(a+d)

a times c times b minus a plus d

The values of a, b, c and d are given.

In the given expression a,b,c and d are variables and plus and minus are operators

a=−2 , b=3 , c=−12 , and d=−4 .

Substitute these values in expression acb−(a+d)

(-2)(-12)(3)-(-2+(-4))

When minus is multiplied two times we get positive, if three times we get negative

72-(-2-4)

72-(-6)

Seventy two plus six

72+6

Seventy eight

78

Hence if a=−2 , b=3 , c=−12 , and d=−4 for expression  acb−(a+d) then its value is 78.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

PLS I REALLY NEED HELP!!!! I have no idea what I’m doing even though I got the answer pls!! BRAINLY AND 50 pointd

Answers

Answer:

I think you're doing one of these

√a square root √a ⋅ √a  = a √9 = ±3

3√a cube root 3√a ⋅ 3√a  ⋅ 3√a  = a 3√8 = 2

4√a fourth root 4√a ⋅ 4√a  ⋅ 4√a  ⋅ 4√a  = a 4√16 = ±2

n√a n-th root (radical) n/a for n=3, n√8 = 2

well let me know :)

how can I solve this equation, 6x + 3y = -12, as y=mx+b?

Answers

Answer:

y=-2x-4

Step-by-step explanation:

6x + 3y=-12 subtract 6x to other side

3y=-12-6x divide 3 to every number

1y=-4-2x

Help plz it’s a test quest-



A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for fencing. He knows that the area of
the yard is 51 square meters and that the width is 5.2 meters longer than the length. Which equation could be solved to determine the
dimensions of the backyard, where the length is / and the width is w?

0=w/2+5.2w -51

0=/2+5.2/-51

4w +10.451

4/+10.4 = 51

Answers

Answer:

0=w^2-5.2w-51

Step-by-step explanation:

51=width x length

length=width-5.2

substitute for length

51=width x (width-5.2)

51=w^2-5.2w

0=w^2-5.2w-51

There are 3,000 pizzas at the hotel. If each zombie eats 15 pizzas, how many zombies are there? А B C 20 200 45,000​

Answers

Answer:

200

Step-by-step explanation:

200 × 15 = 3000

hope this helps :)

I need help can you?

Answers

Answer:

Step-by-step explanation:

                 Statements                                          Reasons

1). m∠QPS = m∠TPV                                1). Given

2). m∠QPS = m∠1 + m∠3                        2). Angle addition postulate

    m∠TPV = m∠2 + m∠4                                    

3). m∠1 + m∠3 = m∠2 + m∠4                  3). Given

4). m∠1 = m∠2                                          4). Given

5). m∠1 + m∠3 = m∠2 + m∠4                  5). Subtraction property

    m∠3 = m∠4

PLS HELP | WILL BE GIVING BRAINLIEST(CROWN)

Answers

A) 8 possible out comes
B) 1/8 chance
C) 0.38 chance

Answer:

A.8 possible outcomes

B. The probability of getting no heads is 1 of 8

C. it's clear that 1/2 the outcomes result in at least 2 tails.

Step-by-step explanation:

How would you write this as an expression?
A number is no more than 8
Answer choices


<
>
=

Answers

In other words this means every number is less than 8

Therefore the answer would be:
8
It's less than or equal to, I don't have the symbol on my keyboard but it's the second one

Simplify 4.5+ 3.1(2x + y) + 1.2y.

Answers

Answer:

see image

Step-by-step explanation:

Answer:

6.2x+4.3y+4.5

Step-by-step explanation:

how much would be 20%

Answers

Answer:

20 percent of what

Step-by-step explanation:

Which values of m make 1/4 m > 3 true ?

Answers

Answer:

m > 12

Step-by-step explanation:

I) Find what m is in 1/4m = 3:

1/4m = 3

Divide by 1/4:

m = 12

II) Make an inequality:

m > 12

The picture says it all ty! <3

Answers

Answer:

only Katie is right

Step-by-step explanation:

first, find the nth rule using the equation n = a + (n - 1)d

a = first term (here, it's 22)

n = the position of a term

d = the constant difference between each term (here, it's -5 since each term reduces by 5)

put these in and then simplify:

n = a + (n - 1)d

n = 22 + (n - 1)(-5)

n = 22 - 5n + 5

n = -5n + 27

this can be rewritten as n = 27 - 5n, which means therefore that only Katie is right. hope this helps!

Answer: Only Katie

Reason: Only Katie is correct!

this is due is in about 15 minutes.. :')

1. You lose 3 points every time you forget to write your name on a test. You have forgotten to write your name 6 times. What integer represents your change in points from forgetting to write your name?

Answers

Answer:

I think the answer is 18.

How long is `50\%` of a 24 hour day

Answers

Answer:

12 hours

Step-by-step explanation:

50/100 x 24 = 12

Answer:

it would be 12 hours.

Step-by-step explanation:

24/2=12

What are the solutions to [tex]16x^2-12x=54.[/tex] ,Select all that apply.
A) -9/2
B) -9/4
C) -3/2
D) -3/4
E) 3/4
F) 3/2
G) 9/4
Thank you! Also I'd like to see it worked out.

Answers

C) -3/2 the answer I hope it can help

please help i have no clue

Answers

Answer:

Step-by-step explanation:

Question (1)

x² + 10x + 12

= x² + 2(5x) + 5² - 5² + 12

= [x² + 2(5x) + 5²] - 5² + 12

= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]

= (x + 5)² - 13

Question (2)

y² - 6y - 15

= y² - 2(3y) - 15

= y² - 2(3y) + 3² - 3² - 15

= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]

= (y - 3)² - 3²- 15

= (y - 3)² - 9 - 15

= (y - 3)² - 24

leonard has 32 jazz CD's and 48 classical CD's. write down the ratio of the number of jazz CD's to the number of Classical CD's. give your ratio in its simplest form

Answers

Answer:4   : 3

Step-by-step explanation:

32:48

8 : 6

4 : 3

Algebraically solve the following system of equations. Show all of your work.
2x+5y=3
3x-2y=14

Answers

Answer:

x=−5/2 y+ 3/2

Step-by-step explanation:

Let's solve for x.

2x+5y=3

Step 1: Add -5y to both sides.

2x+5y+−5y=3+−5y

2x=−5y+3

Step 2: Divide both sides by 2.

2x/2

=

−5y+3

2x=

−5y+ 3/2

Answer:

x=−5/2 y+ 3/2

Answer:

x =4 , y = -1

Step-by-step explanation:

I used substitution method.

Hope I was able to help . Good luck!

Find the value of x in the acute scalene triangle that has the angles 114° and 37°

Answers

I would add 114 and 37 then subtract the total from 180 to get x=29

what is 314.16 rounded to the nearest hundredth

Answers

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

Need answer for both will mark brainlest

Answers

Hey there ..

In ∆PRS and ∆RPQ ,

PS=QR (given)

angle PRS =angle QPR (90°)

PR=PR (common)

therefore, ∆PRS congruent to ∆RPQ. (by RHS congruence )

Hope it helps ..and plz mark me as brainliest if u found it helpful


To go to the park, It costs $4 plus $3 per child. Which equation shows this situation
where x represents the number of children

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

Because $4 is your base pay, it is your y-intercept. And because it is $3 per child, then that is your slope. "x" represents how many objects/people/etc. there could be.

Can someone help me please ?

Answers

No , because if you were to add 4+6 in the second equation you’ll get 10 then subtract the 4 on the right side that would give you. 2d + 6 = 5. So 2d + 4 = 5 is not the same as 2d + 6 = 5

Write the slope-intercept form, y = mx + b, of the equation of the line through the given point with the given slope. Do not put spaces in between the numbers and letters.

m = 2/3, (3, 5)

Answers

Answer:

Y = 2/3x + 3

Step-by-step explanation:

Hillside orchard grows Fiji apples and Gala apples. There are 160 Fiji apple trees and 120 Galla apple trees in the orchard. Hillsides Orchers owners decide to plant 30 new gala apple trees. find the number of new Fiji apple trees the owner should plant if they want to maintain the same ratio of Fiji apple trees to gala apple trees

Answers

The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.

Ratio

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The ratio of Fiji apple to Gala apple = 160 : 120 = 4 : 3

If 30 new gala trees are planted, hence the number of gala trees increases to 150 (120 + 30). To maintain the same ratio:

Number of fiji apple = (4/3) * 150 = 200

New Fiji apple trees = 200 - 160 = 40

The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.

Find out more on Ratio at: https://brainly.com/question/2328454

Write the slope-intercept form of the equation of the line.
slope = -10, y-intercept = 5

Write the slope-intercept form of the equation of the line.
through: (-5,-1), slope = 2/5

Write the slope-intercept form of the equation of the line.
through: (5,0) and (-5,2)

Write the slope-intercept form of the equation of the line.
through: (-5,0), parallel to y = -x + 2

1
Write the slope-intercept form of the equation of the line.
through: (4,1), perpendicular to y = -2x + 5

Answers

Answer:

y = -10x + 5 and y = 2/5x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

for your first problem, just plug in the m and b values to complete the equation.

1.) y = mx + b ⇒ y = -10x + 5

plug in -10 for x (slope) and 5 for b (y-intercept)

and for the second problem...

since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)

1.) plug in -1 for y

y = mx + b ⇒ -1 = mx + b

2.) plug in 2/5 for m

-1 = mx + b ⇒ -1 = 2/5x + b

3.) plug in -5 for x

-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b

now it's time to solve for b! start by multiplying 2/5 and -5.

-1 = 2/5(-5) + b ⇒ -1 = -2 + b

add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.

and you're left with 1 = b! :)

therefore, y = 2/5x + 1

i hope this helps! have a great day <3

what is the solution to 3x2+7x−20=0

Answers

Answer:

Your answer is -4

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:

x = 5/3

x = -4

-Evaluate the exponent

-Multiply the numbers

-Add the numbers

-Evaluate the square root

-Multiply the numbers

How can i identify a slope

Answers

Answer:

Rise over Run.

Step-by-step explanation:

If it's on a line on a graph you count how many it goes up until it's aligned with the next point and then you count how ever many over until it hits it. So it could be 2 up and 4 over making the slope 2/4.

I'm sorry that might not make much sense I'm bad at explaining but let me know if that helps at all!!

You use Rise over run to identify slope

Please help me ASAPPPPPP

Answers

Answer:

Step-by-step explanation:

4). Surface area of front and back = 2(lengh × height)

                                                        = 2(7×3)

                                                        = 63 cm²

    Surface area of top and bottom = 2(length × width)

                                                          = 2(8×7)

                                                          = 112 cm²

     Surface area of left and right = 2(width × height)

                                                      = 2(8×3)

                                                      = 48 cm²

      Total surface area = 63 + 112 + 48

                                      = 223 cm²

5). Surface area of top and bottom = 2πr²

                                                          = 2π(4)²

                                                          = 32π

                                                          = 100.53 cm²

    Surface area of middle = h(π × d)

                                            = 4(π × 8)

                                            = 32π

                                            = 100.53 cm²

     Total surface area = 32π + 32π

                                     = 64π

                                     = 201.06 cm²

6). Surface area of front and back = [tex]2[\frac{1}{2}(\text{Base})(\text{Height)}][/tex]

                                                        = Base × Height

                                                        = 6 × 8

                                                        = 48 cm²

     Surface area of bottom = 6 × 11

                                             = 66 cm²

     Surface area of the left = 8 × 11

                                             = 88 cm²

     Surface area of right = 10 × 11

                                        = 110 cm²

      Total surface area = 48 + 66 + 88 + 110

                                      = 312 cm²  

hey, what is 10+10-12x13-9x3-85

Answers

Answer:

-248

Step-by-step explanation:

first start by using PEDMAS

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