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4 years ago

Dane started running at half past three in the afternoon. He stopped running at ten minutes after four. How long did Dane run?

Mathematics

2 answers:

Afina-wow [57]4 years ago

8 0

He ran 40 minutes because 3:30 and 4:10 so 30 +10 equals 40

Tatiana [17]4 years ago

4 0

He ran for 40 minutes!

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How do you solve this?

solong [7]

It looks like your equations are

7M - 2t = -30

5t - 12M = 115

Solving by substitution

Solve either equation for one variable. For example,

7M - 2t = -30 ⇒ t = (7M + 30)/2

Substitute this into the other equation and solve for M.

5 × (7M + 30)/2 - 12M = 115

5 (7M + 30) - 24M = 230

35M + 150 - 24M = 230

11M = 80

M = 80/11

Now solve for t.

t = (7 × (80/11) + 30)/2

t = (560/11 + 30)/2

t = (890/11)/2

t = 445/11

Solving by elimination

Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,

7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)

5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)

Now combining the equations eliminates the t terms, and

(-10t + 35M) + (10t - 24M) = -150 + 230

11M = 80

M = 80/11

It follows that

7 × (80/11) - 2t = -30

560/11 - 2t = -30

2t = 890/11

t = 445/11

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Log4 x + log4 (x – 3) = 1 Solve the equation.

Natasha_Volkova [10]

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

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3 years ago

A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance

hodyreva [135]

The play costs $1,200 in expenses.
The students charge $4.00 for tickets.
f(x) = 4x - 1200
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so
the domain for x is from 0 to 500

so answer should be
the domain of the function is all real numbers from 0 to 500

Hope it helps

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Deffense [45]

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Step-by-step explanation:

-6 + 8 = 2 (y)

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3 years ago

How do you write 2.78 x 103 in standard form?

slava [35]

Answer:

Do 2.78×103 = 286.34

Step-by-step explanation:

In standard form:

200+80+6+0.3+0.04

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3 years ago