MATHEMATICS HIGH SCHOOL

Simplify the following expression:
-9(14p - 8) - 4p

Answers

Answer 1
Answer:

Step-by-step explanation:

-126p + 72 - 4p

-130p + 72

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A pizza had 9/10 left before Lucas ate 4/5 of the pizza. How much pizza is left over?of a pizza

Answers

Step-by-step explanation:

always try to bring fractions you need to compare to the same denominator (bottom number).

we have 9/10 of the pizza left.

then 4/5 if the pizza are eaten.

how to compare 9/10 with 4/5 ?

by bringing 4/5 also to a fraction of 10ths.

what do I need to multiply 5 with to get 10 ?

right, 2.

since we don't want to change the overall value of the original fraction, we need to multiply both levels (numerator and denominator) by that same factor :

4/5 × 2/2 = 8/10

aha !

that we can compare with 9/10.

so, when Lucas ate 4/5 (= 8/10) of the pizza, when there was originally 9/10 left, then we have 1/10 of the pizza left.

Solve using substitution


x = y +3
-3x + 3y = 6

Answers

\large\bf{\underline{\underline{\mathfrak{Question}:}}}

Solve using substitution

x = y +3,

-3x + 3y = 6

\large\bf{\underline{\underline{\mathfrak{Solution}:}}}

Giventhat,

{\small{\rm{x=y+3}}}

Equation:

{\small{\rm{-3x + 3y = 6}}}

So,

By substituting the value of xthat is y+3 in the given equation we get,

:{\Longrightarrow{\small{\rm{-3(y+3) + 3y = 6}}}}

:{\Longrightarrow{\small{\rm{-3y-9+ 3y = 6}}}}

:{\Longrightarrow{\small{\rm{\cancel{-3y}-9\cancel{+3y} = 6}}}}

:{\Longrightarrow{\small{\rm{x = 6+9}}}}

:{\Longrightarrow{\small{\rm{x = 15}}}}

{\therefore{\small{\rm{Value\:of\:x = 15}}}}

Now to find the value of Y use the value of x in the givenequation.

:{\Longrightarrow{\small{\rm{-3(15) + 3y = 6}}}}

:{\Longrightarrow{\small{\rm{-45+ 3y = 6}}}}

:{\Longrightarrow{\small{\rm{3y = 6+45}}}}

:{\Longrightarrow{\small{\rm{3y = 51}}}}

:{\Longrightarrow{\small{\rm{y =(51)/(3)}}}}

:{\Longrightarrow{\small{\rm{y =17}}}}

{\therefore{\small{\rm{Value\:of\:y = 17}}}}

Forverification:

:{\Longrightarrow{\small{\rm{-3(15) + 3(17) = 6}}}}

:{\Longrightarrow{\small{\rm{6= 6}}}}

Henceverified!

I need help my teacher's note didn't help at all please

Answers

Answer:

1.0472

Step-by-step explanation:

60

= 60 × π/180 rad

= π/3 rad

Hope this helps! :)

What property does the statement show? ( 4 x 8 ) x 3 = ( 4 x 4 ) x 3

Answers

Answer: Associative property of multiplication.

Step-by-step explanation:

The property demonstrated by the statement "(4 x 8) x 3 = (4 x 4) x 3" is the associative property of multiplication.

The associative property of multiplication states that you can change the grouping of numbers in a multiplication expression without changing the result. In this case, both sides of the equation involve multiplication, and the numbers being multiplied are grouped differently but still yield the same result.
commutative property of multiplication

What are the values of x in the equation 4x2 + 4x – 3 = 0

Answers

Answer:

x = -3/2, 1/2

Step-by-step explanation:

(2x + 3)(2x - 1) = 0

2x + 3 = 0, 2x = -3, x = -3/2

2x - 1 = 0, 2x = 1, x = 1/2

There are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside of the cage. How many chickens and how many rabbits

Answers

Let the number of chickens be x and that the number of rabbits be y

So, the equation would be
x+y = 72. --Eq.1
4x + 2y = 200 --Eq.2

Eq.1 can also be written as
2x+2y = 144 --Eq.3


Eq.2 - Eq.3

4x -2x+2y -2y = 200-144
2x = 56
x = 28

So, the number of chickens = 28
Number of rabbits = 72-28 = 44
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