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1 year ago

A bus travels 32 kilometers in 30 minutes. How far will the bus travel in 4 hours at that speed? Show your work.

1 answer:

7 0

256 km.. you take 32 and mulitply it by 8 and get 256. since the bus can go 32 km in half an hour in four hours it would go 8 times that distance.

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13. A map has a scale of 2 cm to 3 km.

Aleksandr [31]

Scale = 1cm:3km

Therefore area of lake = 81Km

1:3 = x:81

= 27:81

Therefore the area on map is 27cm

Must click thanks and mark brainliest

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2 years ago

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On a map, 1/2 inch represents 4/5 mile.

-Dominant- [34]

Your answer would b “D”

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3 years ago

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A $300 suit is marked down by %20. Find the sale price

avanturin [10]

Answer:

1499

(Decimal: 299.8)

Step-by-step explanation: =

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−

100

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2 years ago

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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

$2x+3y-z =K$

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

$2(2)+3(0)-(-1) =K\\K =5$

So equation is

$2x+3y-z =5$

b) Substitute general point of L in the plane to find the intersecting point

$2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)$

i.e. same point given.

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3 years ago

Which relation below represents a one to one function

Scilla [17]

Answer:

<h2>Second table</h2>

Step-by-step explanation:

<em>One-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain. Every element of the function's domain is the image of at most one element of its domain.</em>

First table:

No. Because for x = 7.25 and x = 8.5 we have the same value of y = 11

Second table:

Yes. Because for all values of x we have different values of y.

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3 years ago