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KonstantinChe [14]
1 year ago
10

Two correct first steps are shown for the same equation below. What property justifies each step?first equation is5(x-3)=205x-15

=20second equation is5(x-3)=20x-3=4
Mathematics
1 answer:
xenn [34]1 year ago
6 0

The first equation is :

5(x-3)=20

5x-15=20

The property is from multiplication, it is called distributive property says that "multiply the outside number with each term inside the parenthesis.

Second equation is

5(x-3)=20

x-3=4

It is an equation property when a number multiply it change to divide the other side of the equality.

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Mr.marichal has quarters ,dimes,and pennies in a jar.he has twice as many quarters as oennies.he also has 5 more dimes than penn
liberstina [14]

He has 20 quarters, 15 dimes and 10 pennies.

Step-by-step explanation:

Let,

Quarters = x

Dimes = y

Pennies = z

We know that,

A quarter is 25 cents, dime is 10 cents and penny is 1 cent.

Total amount = $6.60 = 6.60*100 = 660 cents

According to given statement;

25x+10y+z=660   Eqn 1

x=2z    Eqn 2

y=z+5   Eqn 3

Putting these values of x and y in Eqn 1

25(2z)+10(z+5)+z=660\\50z+10z+50+z=660\\61z=660-50\\61z=610\\

Dividing both sides by 61;

\frac{61z}{61}=\frac{610}{61}\\z=10

Putting z=10 in Eqn 2

x=2(10)\\x=20

Putting z=10 in Eqn 3

y=10+5\\y=15

He has 20 quarters, 15 dimes and 10 pennies.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/10978575
  • brainly.com/question/11025333

#LearnwithBrainly

5 0
3 years ago
This tells you that the unknown number is multiplied by 3.
ioda
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3 years ago
PLEASE HELP QUICK GIVING BRAINLIEST NANSHHXHS HELLO
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Answer:

It got cut off, but the approximate y intercept is 3 and slope intercept form is

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3 years ago
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Answer:

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3 years ago
Find the value of the variable.
Zielflug [23.3K]

Answer:

x = 8, y = 8\sqrt{2}

Step-by-step explanation:

a^2+b^2=c^2

8^2+8^2=c^2      Both 8 and x sides are congruent so they're equal.

64+64=c^2      Add 64 + 64.

c^2=128           Square root 128

c^2=8\sqrt{2}

Final answers: x = 8, y = 8\sqrt{2}

3 0
3 years ago
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