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seropon [69]
3 years ago
11

Expand the expression and combine like terms. -1/2(-3y+10)

Mathematics
2 answers:
emmainna [20.7K]3 years ago
5 0
Multiply out the bracket:
(-1/2×-3y)+(-1/2×10)
-1/2×-3= 1.5 as the negatives cancel out
-1/2×10= -5
So the answer is 1.5y-5 or 3/2y-5 if you prefer a fraction

Irina-Kira [14]3 years ago
3 0

Answer:

\frac{3}{2}(y)-5

Step-by-step explanation:

The given expression is

-\frac{1}{2}(-3y+10)

We need to find the expanded form of given expression.

According to distributive property, if a,b and c are three real numbers then

a(b+c)=ab+ac

Using distributive property, the given expression can be written as

-\frac{1}{2}(-3y)-\frac{1}{2}(10)

On further simplification we get

\frac{3}{2}(y)-5

Two terms are called like terms if they have same variable of same power.

In the above expression we do not have like terms.

Therefore, the expanded form of given expression is \frac{3}{2}(y)-5.

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An airplane has 29 seats. The price for a coach seat is $600 in the price for a first class seat is $1050. The airline collected
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Answer:

19 coach seats

Step-by-step explanation:

let the number of coach seats be C and number of first class seats be F

given that the total number of seats is 29,

C + F = 29 ---------(eq 1)

also given that each coach seat = $600, each 1st class seat is $1050 and a total of $21900 was collected,

600C + 1,050F = 21,900 -------(eq 2)

we have 2 equations and 2 unknowns, we can solve the system of equations by elimination

(eq 1) x 1,050 gives us:

1,050 (C + F) = 1,050(29)

1,050C + 1,050F = 30,450 ----- (eq 3)

by elimination, subtract eq 2 from eq 3

(1,050C + 1,050F) - (600C + 1,050F) = 30,450 - 21,900

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7 0
3 years ago
Write the number 6\times 10^{-3}6×10 {−3}<br> in standard form.
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Answer:

6 · 10⁻³

Step-by-Step Explanation:

The number 6 time 10 to the power -3 is 6 · 10⁻³ in standard form.

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