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skad [1K]
2 years ago
14

Which expression is equivalent to -4(5x - 9) + 6(2x + 5)?

Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

Answer:

-4(5x - 9) + 6(2x + 5)

multiplication of:

(-).(-) = +

(-).(+) = -

(+).(-) = -

(+).(+) = +

-4(5x) -4(- 9) + 6(2x + 5)

(-)(+)4(5x) (-)(-)4(9) (+)(+) 6(2x) (+)(+)6( 5)

-20x  + 36 + 12x + 30

-20x  + 12x + 36 + 30

-8x + 66

Step-by-step explanation:

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If it took Carlos 30 minutes to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 mi
Ivanshal [37]

Answer:

1) No

2) Yes

Step-by-step explanation:

Given : If it took Carlos 30 minutes to cycle from his house to the library yesterday.

To find : Was the distance that he cycled greater than 6 miles?

Solution :

The relation between speed , distance and time is

\text{Distance}=\text{Speed}\times \text{Time}

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.

Speed = 16 feet per second

Converting into miles, s=\frac{16}{5280}

Time = 30 minute

Converting into seconds, t=30\times 60

The distance he covered is

\text{Distance}=\frac{16}{5280}\times30\times 60

\text{Distance}=5.45\text{ miles}

No, the distance that he cycled is not greater than 6 miles.

2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.

Speed = 18 feet per second

Converting into miles, s=\frac{18}{5280}

Time = 30 minute

Converting into seconds, t=30\times 60

The distance he covered is

\text{Distance}=\frac{18}{5280}\times30\times 60

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Yes, the distance that he cycled is greater than 6 miles.

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3 years ago
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I need someone to help me on this Solve -17<-195-r
vampirchik [111]

Answer:

r > -178

Step-by-step explanation:

Solving the equations means to find what "r" can be for the equation to be true.

If the sign < confuses you, you can always write = then change it back.

<u>To find "r", we need to isolate it</u>. To do this, we move "r" to the left side, and every other number to the right side. When you move something to the other side, remember you need to <u>do the reverse operation on both sides</u>.

I want to move -195 first. The opposite is +195.

-17 < -195 - r

-17 + 195< -195 + 195- r    Add 195 to both sides. 195 cancels out on the right

-17 + 195 < -r           Simplify left right by add 195 to -17

178 < -r             The opposite of multiply by -1 is divide by -1.

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-178 < r          Answer is found. Put variable on left side. Remember the keep the open side of the symbol facing "r".

r > -178         The solution is when "r" is greater than -178.

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