Scott’s age and his mother’s age is 45. In 5 years’ time, three times Scott’s age less9 will be the same as his mother’s age. Find the present ages of Scott and his mother.

Answers

Answer 1

Answer:

Mother is presently 34

Scott is 11

Step-by-step explanation:

Let the mother's age = x

Let the son's age = y

First Equation

x + y = 45

Second equation

3*(x + 5) - 9 =  y+5                Add 9 to both sides

3(x + 5) = y + 5 + 9

3(x + 5) = y + 14                    Remove the brackets

3x + 15 = y + 14                    Subtract 14 from both sides

3x + 15 - 14 = y

3x + 1 = y

Put the first equation into the second equation

x + y = 45                             Subtract y from both sides

y = 45 - x

Put this value for y into the second equation's results.

3x + 1 = 45 - x                       Add x to both sides

3x + x + 1 = 45                    

4x + 1 = 45                            Subtract 1 from both sides

4x = 45 - 1

4x = 44                                Divide by 4

x = 44/4

x = 11

x + y = 45

11 + y = 45

y = 34


Related Questions

Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?

Answers

Answer:

28

Step-by-step explanation:    20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars

Plz help brainiest to the correct answer!

Answers

Answer:

1. x (multiplication)

2. / (division)

3. - (subtraction)

4. - (subtraction)

5. / (division)

Step-by-step explanation:

1. 24 x 3/4= 18

2. 24/-3/4=-32

3. 12- 15= -3

4. 12- (-15)= 12 + 15 = 27

5. -18 / -3/4= 24

#a

[tex]\\ \sf{:}\dashrightarrow 24\times \dfrac{3}{4}=18[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow 24\div \dfrac{-3}{4}=-32[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow 12-15=-3[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow 12-(-15)=27[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow -18\div \dfrac{-3}{4}=24[/tex]

solve 4x-y=-5 -2x+3y=10​

Answers

Answer:

(x,y) =(7/2,4)

(x,y) = (9/2,8) thats the answer

To get home, Renae can take one of four buses: #41. #28. #55, or #81. Once she is on a bus, she will randomly select one of the
following equally likely activities: listening to her music player, writing a letter, or reading a book. Her choice of bus and choice of entertainment are independen
events, because the bus that Renae took did not affect which activity she chose. For example, what is the probability that Renae writes a letter if she takes the
#41 bus? What is the probability that Renae writes a letter if she takes the #55 bus?

Answers

The probability that Renae writes a letter if she takes the #55 bus is 1/12

The buses are given as:

Buses: #41, #28, #55, #81

There are 4 buses of equal probabilities.

So, the probability that she takes the #55 is:

[tex]P(55)= \frac 14[/tex]

The activities are given as:

Activities: listening to her music player, writing a letter, or reading a book

There are 3 activities of equal probabilities.

So, the probability that she writes a letter is:

[tex]P(Letter)= \frac 13[/tex]

The probability that she does both independent events is:

[tex]Pr = P(55) \times P(Letter)[/tex]

So, we have:

[tex]Pr = \frac 14 \times \frac 13[/tex]

[tex]Pr = \frac 1{12}[/tex]

Hence, the probability is 1/12

Read more about probabilities at:

https://brainly.com/question/251701

please help me!


ty :)

Answers

Answer:

y-2 = 5(x-3)

Step-by-step explanation:

-

Hope that helps

Solve 7,030 ÷ 3 using the division algorithm ?????????????????

Answers

Answer: 2,343.3333 repeating, or just 2,343 1/3

Step-by-step explanation:

If you divide, your answer comes out to be 2,343.3333 repeating or 2,343 1/3.

HELP PLEASE!!
Question in picture!!

Answers

Answer:

twice a number and add 2 to it

Expression. 2x+2

Varible. 2X

Constant. 2

ten subtracted from 1/4 a number

Expression. 1/4x-10

Varible. 1/4x

Constant. -10

Hope This Helps!!!

im wasting so many points on these
help please

Answers

Hello, again!! :p

I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer  =3 ± i√ 6 ,not a -3.

Sorry, I'm not sure if that was much help!

1. What is the next number in the pattern below?
0, 5, 11, 18, _____

can someone pls help me with this? Thank you!

Answers

26

0 to 5 = +5
5 to 11 = +6
11 to 18 = +7
18 to ? = +8
? = 26

simplify 7^2 • 7^6 =

Answers

Answer: 7^8

Explanation: just add the exponent if you are multiplying two things with the same base

NEED HELP ASAP GEOMETRY QUESTION 20 POINTS!!!!​

Answers

Answer:

X= 12

Step-by-step explanation:

Simplify.

8^15÷8^−3

Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53

PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS

Answers

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]

= [tex]8^{(15-(-3))}[/tex]

= [tex]8^{(15+3)}[/tex]

= [tex]8^{18}[/tex]

The simplified form is 8^18

What are Exponents?

The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

Properties of Exponents

The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.

Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bm

Given:

8^15÷8^−3

Using

a^m / a^n = a^( m-n)

So,

8^15÷8^−3

=8^(15-(−3))

=8^(15 +3)

=8^18

Learn more about exponents and power here:

https://brainly.com/question/15722035

#SPJ2

Classify −3x4−x3+4x2+12 by degree.

Answers

Answer:

Fourth degree or quartic

Step-by-step explanation:

As the highest power is 4, it is a quartic.

Distance between two points (−5,−5) and (-9, -2)

Answers

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

PLEASE HELP GIVING POINTS

Answers

Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.

Step-by-step explanation:

To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].

This means to rise up ___ amount of numbers and run __ amount of numbers.

Rise is moving along y, and x is moving along x.

-Additional info:

positive slope (when lines go uphill from left to right) negative slope (when lines go downhill from left to right) zero slope (when lines are horizontal) undefined slope (when lines are vertical)

-------------

#TeamTrees #TeamSeas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

How many solutions does the system of equations below have?
4x + 10y = –7
–3x + 9y = –14
No solution
One solution
Infinitely solutions

Answers

Answer:

There is one solution to this system of equations

Step-by-step explanation:

When solving, there is a specific point of intersection which is (7/6,-7/6), making the answer one solution.

The area of Chile is approximately 2*10^6 square kilometers the area Bosnia is approximately 9*10^4 square kilometers what is the area of the two countries

Answers

Answer:

2,090,000

Step-by-step explanation:

Area = Area of Chile + Area of Bosnia

Area of Chile = 2*1000000

Area of Bosnia = 9*10000

Area = 2,000,000 + 90,000

Area = 2,090,000

Answer:

Step-by-step explanation:

there total

= 2*[tex]10^{6}[/tex] + 9*[tex]10^{4}[/tex]

= 2*1,000,000 + 9*10,000

= 2,000,000 + 90,000

= 2,090,000

= 209*[tex]10^{4}[/tex]

= 2,09*[tex]10^{6}[/tex]

Which is the graph of y = [x]-2?

Answers

Answer:

Step-by-step explanation:

number 1

A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?

Answers

You do NOT have enough cups of sugar for 40 people
If a recipe calls for 1 1/2 OR 1.5 (decimal form) for 6 people then:
1.5/6 = 0.25 cups of sugar PER person

0.25 x 40 = 10 cups
We will need 10 cups of sugar for 40 people but the we only have 9 cups
therefore 9 cups arent enough for 40 ppl

Need help ASAP! Directions in picture;)

Answers

X=3

Y=5

If both polygons are equal to each other, then you can get these equations:

2x+4=10

3y-3=12

Now you just solve them. Remember, what you do to one side, you have to do to the other. I can explain this more if you want.

The equation 750(1.03)4t=1,000 can be used to find the amount of time, t, in years, it takes for a savings account compounded quarterly to reach $1,000. In order to solve the equation 750(1.03)4t=1,000, a student graphs the equations y=750(1.03)4t and y=1,000. What is the approximate solution to the equation 750(1.03)4t=1,000?

Answers

Answer:

Step-by-step explanation:

T=29.16


Simplify.
√44
O 4√40
O 2√11
O 2√22
o 4√11

Answers

Answer:

It is the second option

[tex]2 \sqrt{11} [/tex]

Mrs. Arnold asked her 30 Geometry students who owned a pet. 16 students own a dog, 12 students have a cat and 6 students did not have a cat or a dog. Thomas wrote the information in a Venn diagram but made an error. Explain where the error occurred.

Answers

Answer:

The number is out of the Venn Diagram. The number is supposed to be in the middle if the middle means the students that don’t have a cat nor dog. Hope this helps and hope you pass.


Answer:
Thomas was to label the center of the diagram for the students not owning a pet.
With 6 at its center

WILL GIVE BRAINLIEST

Answers

Answer:

31). (0,-2), (2,-5).

32). (0,-1), (5,3).

33). (0,1), (5,-2).

34). (0,1), (4,0).

What is the slope of the line on the graph?



Enter your answer in the box.

Answers

Answer:

-1/3x+4

Hope This Helps!!!

In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.

Answers

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

Additional comment

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

Answer:

60

Step-by-step explanation:

Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?

Answers

6 boxs she will only have 5 dollors left

also what kind of persom buys 6 pizza boxes for 4 friends

Write as expression. The sum of 7, a number, and 8.

Answers

Answer:

7 +X  + 8= Y

Step-by-step explanation:

The sum means addition, and "a number" is going to be replaced by X

Which statements are true for a reflection? Choose all that apply. ________________________________________________________________________________________________________________________________________


The distance between corresponding points in the image and pre-image is constant.

The orientation of points on the polygon is preserved by the transformation.

The angle measures between sides on the polygon are preserved by the transformation.

The distances between points on the polygon are preserved by the transformation.

Answers

Answer:

The last 2

Step-by-step explanation:

Determine if the relation below is a function.

(-5,1) ; (3,1) ; (5,1) ; (2,1)

Group of answer choices

Yes, this relation is a function.

No. this relation is not a function.

Answers

yes this is a function
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