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3 years ago

tom's and tim's ages add up to 21 years. In 3 years, Tom will be twice time's age. How old are they now?

1 answer:

5 0

X=Tom´s age
y=Tim´s age.
we suggest this system of equations:

x+y=21
(x+3)=2(y+3)

We solve this system of equations by susbstitution method.
x=21-y
[(21-y)+3]=2(y+3)
24-y=2y+6
-y-2y=6-24
-3y=-18
y=-18/-3=6

x=21-y
x=21-6=15.

Answer: Tom is 15 years old, and Tim is 6 years old.

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Answer:

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3 years ago

1. Find 3 equivalent fraction for the following: a) 5/6 b) 7/11 c) 9/7

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Answer:

Step-by-step explanation:

To find equivalent fractions, multiply the numerator and the denominator by the same table.

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b) 7/11

$\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}$

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3 years ago

Mindy and Troy combined ate 9 99 pieces of the wedding cake. Mindy ate 3 33 pieces of cake and Troy had 1 4 4 1 start fraction

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Answer:

(a)There are 24 cakes in total

(b)There are 15 pieces of cakes left

Step-by-step explanation:

Let the total cakes=x

Let number of cakes eaten by Mindy=m

Let number of cakes eaten by Troy=t

Now:

m=3

Since m+t=9

3+t=9

t=9-3=6

The Number of Pieces of Cake Left in Total=x-(t+m)

Since Troy had $\frac{1}{4}$ of the total cake

$\frac{1}{4} of x=6$

$\frac{1}{4} X x=6$

x=6X4=24

(a)There are 24 cakes in total

(b)The Number of Pieces of Cake Left in Total=x-(t+m)=24-9=15 cakes

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2 years ago

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2 years ago

2x-3y=9<br> Find slope-<br> x-intercept-<br> y-intercept-

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get the equation in slope intercept form

2x-3y=9

subtract 2x from each side

-3y = -2x +9

divide by -3

y = 2/3 x -3

slope = 2/3

y intercept = -3

x intercept set y=0 and solve

0 = 2/3 x -3

add 3 to each side

3 = 2/3 x

multiply each side by 3/2

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3 years ago

Read 2 more answers