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Svetach [21]
3 years ago
15

Use the Distributive Property to simplify each expression:

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

6a + 60

5w + 25

56 f - 122

10.5 w - 31.5

0

m - n -1


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Light travels at the speed of approximately 3.0 × 108 meters per second. Find the time in minutes required for light to travel f
expeople1 [14]
Speed = distance / time => time = distance / speed
speed = 3x10^8 x 60 = 180x10^8 m per minute
time = 1.5x10^11/180x10^8 = 150x10^9/180x10^8 = 5/6x10 = 8,3 minutes
6 0
2 years ago
Find an equation for the nth term of the arithmetic sequence.
amm1812

Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

    a_{12}=106

⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

4 0
2 years ago
Function 1: Sam is 150 feet below sea level in a cave and trying to climb back out to safety at zero elevation. He climbs at a r
prisoha [69]

Answer:

Start at -150, then add 3(-5), then add 122.2. -150 + 3(-5) + 122.2 = -45.3.

7 0
2 years ago
Read 2 more answers
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. How much interest will Juanita pay?
motikmotik
I=prt. I=600(.07)(2). I=42(2). I=84. Juanita will pay $84 interest :)
4 0
3 years ago
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Danielle wants to divide her square garden in half diagonally. If each side of the garden is 18 feet, what is the length of the
bija089 [108]

Answer:

25.46

Step-by-step explanation:

Use the pythagorean thereom.

18^2 + 18^2 = c^2

324 + 324 = c^2

648 = c^2

√648 = c

c ≈ 25.46




3 0
2 years ago
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