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Vilka [71]
3 years ago
10

A large truck is going down a hill at 60 miles per hour. The driver needs to begin slowing down by shifting the gears. The speed

goes down by 10 miles per hour each time he downshifts. Which expression shows his speed after three shifts?
60 + (3 × 10)


60 – (-10 × 3)


60 – 10


60 + (-10 × 3)
Mathematics
1 answer:
Kryger [21]3 years ago
3 0
It would be D. 69 + ( - 10 x 3 ). Because here are the keywords. He was going DOWN (negative) at a hill. And he now needs to SLOW DOWN (negative) by shifting the gears. Then he speeds DOWN (negative) 10 miles PER hour. And it says, how much speed after 3 shifts.
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A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

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