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kari74 [83]
3 years ago
6

Apply the distributive property to create an equivalent expression.

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0

Answer:

3 + 2k

Step-by-step explanation:

Given:

1/5(15 + 10k)

= (1/5 * 15) + (1/5 * 10k)

= (1 * 15)/5 + (1 * 10k)/5

= 15/5 + 10k/5

= 3 + 2k

Therefore,

1/5(15 + 10k) = 3 + 2k

The equivalent expression is 3 + 2k

You might be interested in
Suppose △ABC has exterior angle at vertex B. The exterior angle is (12x−24)°, m∠A=(3x−6)°, and m∠C=(6x+12)°. What is the measure
Temka [501]

Answer: 96°

Step-by-step explanation:

If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.

Set them equal each other and solve for x.

(3x-6) + (6x +12) = 12x - 24     Combine like terms

9x + 6 = 12x - 24          Subtract 6 from both sides

    - 6             -6  

   9x = 12x - 30             Subtract 12x from both sides

-12x       -12x  

    -3x = -30               Divide both sides by -3    

 x = 10      

Now since  x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.  

   Exterior :  12(10) - 24

                    120 - 24  = 96

    This means the measure of the exterior angle at vertex B is  96 degrees.

6 0
3 years ago
timur paid $4.50 to enter the fair. he then bought a pretzel for $1.50 and played a game $1. last he rode a roller coaster for $
Soloha48 [4]
X-(4.5+1.5+1+3)= 8
x-10=8
+10. +10
x= 18

He took $18 to the fair. You take his original amount and subtract the things he paid for/bought to get what he came home with. I hope it helps!
8 0
2 years ago
2. If f(x) = x - 7 and g(x) = 2x + 5, then what is f(x) * g(x)?
AysviL [449]

Answer:

2x² - 9x - 35

Step-by-step explanation:

f(x) × g(x) = (x - 7)(2x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 5) - 7(2x + 5) ← distribute both parenthesis

= 2x² + 5x - 14x - 35 ← collect like terms

= 2x² - 9x - 35

7 0
3 years ago
Question 17
SOVA2 [1]

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

3 0
3 years ago
Hit 96 must play 3minutes of commercials for every 30 minutes of music played how many minutes of commercials must be played for
Vinil7 [7]

Answer:

21

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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