1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ad libitum [116K]
2 years ago
11

Dad is 7 times as old as his son. 10 years later, he will be three times as old as his son.find their ages?

Mathematics
2 answers:
jeka57 [31]2 years ago
8 0
These are the answers
son = 5
dad= 35
lisabon 2012 [21]2 years ago
7 0
So dad is represented by x
son is represented by y

so x is (x=) 7 times his son (7y)

our first sentence is x=7y

10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)

so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5

the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15



dad=35
son=5
You might be interested in
to join a local square dancing group, jan has to pay a $100 registration fee plus $20 per month. how many months can she dance f
Kazeer [188]

Answer: 15 months

Step-by-step explanation:

Her balance after paying the registration fee is $300. Then we need to divide this remaining money into as many chunks (months )of $20. So we do 300/20 = 15 months

3 0
3 years ago
In a video game, Clare scored 50% more pints than Tyler. If c is the number of points that Claire scores and t is the number of
olga55 [171]
<h3><u>Question:</u></h3>

In a video game, Clare scored 50% more points than Tyler. If c is the number of points that Clare scored and t is the number of points that Tyler scored, which equations are correct? Select all that apply.

the options are

A. c=1.5t

B.c=t+0.5

C. c=t+0.5t

D. c=t+50

E.c=(1+0.5)t

<h3><u>Answer:</u></h3>

Options A, C, E are correct

The correct equations are c = 1.5t and c = t + 0.5t and c = (1 + 0.5)t

<h3><u>Solution:</u></h3>

Let "c" be the number of points clare scored

Let "t" be the number of points tyler scored

Given that,

Clare scored 50% more points than Tyler

Points scored by clare = points tyler scored + 50% of Tyler points

c = t + 50 % of t

Therefore, on solving, we get

c = t + \frac{50}{100} \times t\\\\c = t + 0.5t

Thus option c is correct

On simplfying we get,

c = t + 0.5t = 1.5t

c = 1.5t

Thus option A is correct

c = t + 0.5t

On taking "t" as common we get,

c = t(1 + 0.5)

Thus option E is also correct

3 0
3 years ago
Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar
Vsevolod [243]

Answer:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

Step-by-step explanation:

Recipe for 48 cookies

Flour = 4 cups

Sugar = 1 1/3 cups

Recipe for 36 cookies

48 cookies : 36 cookies

= 4 : 3

Flour used in 36 cookies = x cups

Flour used in 48 cookies = 4 cups

4 cups : x cups

4 : 3 = 4 : x

4/3 = 4/x

4*x = 3*4

4x = 12

x = 12/4

x = 3 cups

Sugar = 1 1/3 cups

Sugar used in 36 cookies = y cups

Sugar used in 48 cookies = 1 1/3 cups

4 : 3 = 1 1/3 : y

4/3 = 4/3 ÷ y

4/3 = 4/3 × 1/y

4/3 = 4/3y

4*3y = 3*3

12y = 9

y = 9/12

= 3/4

y = 3/4

The true statement are:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

8 0
3 years ago
What is the image of the point (-1,-3) after a rotation of 90 ∘ counterclockwise about the origin?
AVprozaik [17]

Answer:

(-3,1)

Step-by-step explanation:

8 0
2 years ago
Pls help me with this
grin007 [14]

Answer:

k=8

Step-by-step explanation:

divide both sides by 11 to get nine

then subtract 1 from both sides to get

8

7 0
2 years ago
Other questions:
  • What are the next 3 terms to this sequence?<br> 2, 6, − 4, 10, − 14, − 24...
    6·1 answer
  • Tell whether the ordered pair is a solution of the given systems (2,5) y&gt;2x y=&gt;x+2
    9·1 answer
  • What is the area of the blue shaded region ?​<br>please help
    9·1 answer
  • What is the equation of this line<br><br> Y=-4x<br><br> Y=-1/4x<br><br> Y=4x<br><br> Y=1/4x
    8·1 answer
  • Write a word problem whose solution is |20|=20
    13·1 answer
  • Evaluate:5^-1 – 6^-1<br> with explanation please!!
    15·1 answer
  • How do you graph f(x)=-0.5+2, x&lt;2
    9·1 answer
  • Rewarding brainly and if you dont look for a unanswered question i posted or lmk if you want me to post one
    12·2 answers
  • Y= 3x + 1
    9·2 answers
  • Math<br><br> please help? ;c
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!