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vodka [1.7K]
3 years ago
5

Richard and Teo have a combined age of 43. Richard is 10 years older than twice​ Teo's age. How old are Richard and​ Teo?

Mathematics
1 answer:
zvonat [6]3 years ago
8 0

Richard is 32 years old and Teo is 11 years old.

Step-by-step explanation:

Combined age of Richard and Teo = 43

Let,

Richard's age = x

Teo's age = y

According to given statement;

x+y=43      Eqn 1

x = 2y+10    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(2y+10)+y=43\\2y+10+y=43\\3y=43-10\\3y=33

Dividing both sides by 3

\frac{3y}{3}=\frac{33}{3}\\y=11

Putting y=11 in Eqn 2

x=2(11)+10\\x=22+10\\x=32

Richard is 32 years old and Teo is 11 years old.

Keywords: word problem, linear equation

Learn more about word problems at:

  • brainly.com/question/2131336
  • brainly.com/question/2150928

#LearnwithBrainly

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The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount o
IgorLugansk [536]

Answer:

y=0.2x+29

Step-by-step explanation:

Given that:

y is the total monthly of the A Fee and Fee plan.

x is the number of monthly minutes used.

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  • If the customer uses 980 minutes, the monthly cost will be $225, this is the coordinate pair (980, 225).

We want to obtain an equation in the form: y=mx+b

First, let us determine the slope, m

Given points (290, 87) and (980, 225):

<u>Slope</u>

m=\dfrac{225-87}{980-290} =\dfrac{138}{690}=0.2

Next, we determine the y-intercept, b.

Substituting the pair (290, 87) and m=0.2 in y=mx+b, we obtain

87=0.2(290)+b

b=87-0.2(290)=29

Therefore, our equation in the form y=mx+b is:

y=0.2x+29

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The points earned by each choir team during the All-State Competition are as follows: Choir Choir A Choir B Choir C Choir D Poin
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A bottle contains 5/9 liters of soda. Keisha has 3 of these bottles.
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Answer: 1 2/3 Liters

Step-by-step explanation:

  • Create the equation

The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has

5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)

  • Solve

We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract

  1. Numerator= 5x3=15
  2. Denominator= 9x1=9

Your improper awnser would be 15/9

DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM

  • Create the simplest mixed number

15/9 is equal to 15 divided by 9

we can fit 1 9 in 15 without going over

1 ?/15

15-9=6

1 6/9

  • Simplify

6 and 9 are both divisible by 3

6 divided by 3 = 2

9  divided by 3 = 3

1 6/9=1 2/3

  • Awnser and add your units

1 2/3 is the simpelest form, this can not be further divided.

1 2/3 Liters of Soda

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