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Likurg_2 [28]
4 years ago
6

Solve the following problem.

Mathematics
1 answer:
lubasha [3.4K]4 years ago
4 0
It is 9 inches because 54 divided by 6 is 9
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Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
3 0
3 years ago
A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?
astraxan [27]

Answer:

Rate = \$0.05

Step-by-step explanation:

Given

Base\ Amount = \$0.50

Additional = \$0.05

Required

Determine the rate of change.

From the given parameters, we understand that the on a daily basis, there's a charge of $0.05.

This charge represent the rates at which the fee changes on a daily basis.

Hence:

Rate = \$0.05

8 0
3 years ago
Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph
Natasha2012 [34]
Let after t hours the distances D1<span> traveled by car A</span>

=> D1<span> = 30 t</span>

Car B starts at 10 am and will, therefore, have spent one hour less than car A when it passes it.

After (t - 1) hours, distance D2<span> traveled by car B </span>

=> D2<span> = 40 (t - 1)</span>

When car B passes car A, they are at the same distance from the starting point and therefore<span> D1 = D2 </span>

=> 30 t = 40 (t - 1)

Solve the equation for t,

=> 30 t = 40t - 40

=> 10 t = 40

=> t = 4

=><span> Car B passes car A at = 9 + 4 = 13 pm.</span>
7 0
3 years ago
I WILL Give Brainlist !! ASAP Please Help its A Math Question geometry
Vesna [10]

The diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B

<h3>What is a locus?</h3>

A locus is defined as a set of points, which satisfies a given condition or situation for a shape or a figure.

It is important to note that:

  • The locus of points in a plane that are all the same distance from a single point is a circle with radius, r
  • A circle is the locus of all the points in the plane which are equidistant from the points in that plane
  • The locus of all points equidistant from the vertices of a square is a straight line that is perpendicular to the plane of the square, through the center of the square

We can see that for a circle, the locus of all points in the plane is the radius equidistant from that line.

Thus, the diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B

Learn more about locus here:

brainly.com/question/23824483

#SPJ1

5 0
2 years ago
Hi people of the world.<br> I’ll mark brainliest to anyone who has the best joke.
devlian [24]

Answer:

What did the policeman say to his belly button?

Step-by-step explanation:

your under a vest lolzzz

8 0
3 years ago
Read 2 more answers
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