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Sophie [7]
3 years ago
8

HELP ME ASAP!!!!!!! Happy Easter see pic attached good luck

Mathematics
2 answers:
DaniilM [7]3 years ago
8 0

Answer:

D

Step-by-step explanation:

m + 9 can be +ve or -ve or 0.

m can be any number, even lesser than -9 to make it +ve. [-10+9 = -1 = -ve no.]

Or, maybe greater than -9 to make m+9 +ve. [-8 + 9 = 1 = +ve no.]

Or, maybe -9 only so that m+9 is 0

[ -9 + 9 = 0 ]

It can be -ve, +ve and 0 as well.

lilavasa [31]3 years ago
6 0

Answer:

D

Step-by-step explanation:

M could be -1

and -1 + 9 = 8 , positive

.

M could be -9 too

-9 + 9 = 0, zero

.

M could be -10

-10 + 0 = -1 negative

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Part A. At least 6 hours

Part B.  In less than 2.5 hours Elijah will be behind Mercedes

Part C.  In more than 2.5 hours Elijah will be ahead Aubrey

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D = distance

v =speed

t = time

Formula connecting D, v and t:

D=v\cdot t

Part A.

Steve's speed: v=3.5\ mph

Distance: at least 21 miles

Time: unknown, so

3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6

It would take Steve at least 6 hours to walk at least 21 mi on Day 1.

Part B.

Mercedes's speed: v_M=2.4\ mph

Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Mercedes's Distance walked: D_M miles

Time: x hours

Mercedes is 2 miles ahead, so

D_E=3.2x\\ \\D_M=2.4x+2

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D_E

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.

Part C.

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Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Aubrey's Distance walked: D_A miles

Time: x hours

At the beginning of Day 3, Elijah starts walking at the marker for Mile 42,  and Aubrey starts walking at the marker for Mile 42.5.

D_E=42+3.2x\\ \\D_A=42.5+3x

Elijan will be ahead of Aubrey when

D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours

In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.

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4 years ago
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