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3 years ago

Tom wants to get to the playground at 2:30 p.m. it takes him 27 minutes to bike there

Mathematics

2 answers:

N76 [4]3 years ago

6 0

Answer:

2:03

Step-by-step explanation:

If it takes him 27 minutes he should leave the house 27 minutes before he has to go. 2:03 is 27 minutes early

SIZIF [17.4K]3 years ago

3 0

Answer:

2:00

Step-by-step explanation:

Because if he leaves at 2:00 it will only take him 27 minutes to get there and he will make it at 2:27 and be 3 minutes early.

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4 years ago

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3 years ago

What equation results when you cross - multiply 17/d = 51/21

nekit [7.7K]

Answer:

$51d=357\\\\d=\frac{357}{51} \\\\d=7$

Step-by-step explanation:

A proportion is an equation that defines that two ratios are equal. When the terms of a proportion are cross multiplied, the cross products are equal. Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator of the second ratio:

$\frac{a}{b} =\frac{c}{d} \rightarrow ad=bc$

Therefore:

$\frac{17}{d} =\frac{51}{21} \\\\17*21=d*51\\\\357=51d\\\\Solving\hspace{3} for\hspace{3} d\\\\d=\frac{357}{51} \\\\d=7$

6 0

3 years ago

Find an equation of the plane. the plane through the point (3, 0, 7) and perpendicular to the line x = 5t, y = 2 − t, z = 8 + 4t

Gnom [1K]

Let's write the parametric line

(x,y,z) = (0,2,8) + t(5,-1,4)

(5,-1,4) is called the direction vector of the line. It's normal to the plane

5x - y + 4z = constant

We get the constant by substituting the point (3,0,7),

5x - y +4z = 5(3) - 0 + 4(7) = 43

5x - y +4z = 43

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3 years ago