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2 years ago

On a board measuring 1x100, each square is numbered from

Mathematics

2 answers:

max2010maxim [7]2 years ago

5 0

Answer:

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

Leona [35]2 years ago

3 0

Answer:

The answer is 97

Step-by-step explanation:

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Alexis surveys three different samples of 20 students selected randomly from the population of 492 students in the seventh grade

IrinaVladis [17]

Answer:

i think her inference i invalid

Step-by-step explanation:

i think this because she only surveyed a very small population of the seventh graders and the more data the more accurate your prediction will be. Hope that helps.

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2 years ago

Jared is using a 100 ft rope to set up a kite-shaped area for food vendors. He has started roping off the area as shown below, a

marishachu [46]

Jared has already used 30+30=60 ft of rope.

A kit shape has 2 pairs of 2 lines that are the exact same length. We can use x to represent this unknown length.

60+2x=100

Subtract 60 from both sides
2x=40

Divide both sides by 2
x=20

Final answer: He can use all the rope by using 20 ft for each of the other sides that are left.

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2 years ago

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Local hardware store sells fencing for $1.30 per yard of each unit of a good represents 25 years how much will it cost to fix a

OLga [1]

Answer:

Step-by-step explanation:

You go in order from MNOP, and you count the negatives and the positives and add them all together. I did that for you. But now add the negatives and positives, think of a number line, left of zero is negatives and right of zero is positive.(like I show in the second picture) make sense?

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2 years ago

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One fourth of all telephones at the office have built in speaker phones. One -half the phones with the built-in speaker phones h

Helga [31]

Answer:

$\frac{1}{8}$ of the phones in office has both a speaker phone and a conference-call capability

Step-by-step explanation:

Since total number of phones in the office is not given, the answer will be "in that terms".

let it be x

So built in speaker phones is (1/4)x

Hence conference call phones would be (1/2)(1/4x) = (1/8)x

Hence "1/8th of the phones in office has both a speaker phone and a conference-call capability"

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2 years ago

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Two tangents drawn to a circle from a point outside it, are equal in length.prove it.<br>

stiks02 [169]

Given: A circle with centre O; PA and PB are two tangents to the circle drawn from an external point P.
To prove: PA = PB
Construction: Join OA, OB, and OP.
It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact.
OA⊥PA
OB⊥PB
In △OPA and △OPB
∠OPA=∠OPB (Using (1))
OA=OB (Radii of the same circle)
OP=OP (Common side)
Therefor △OPA≅△OPB (RHS congruency criterion)
PA=PB
(Corresponding parts of congruent triangles are equal)
Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.
The length of tangents drawn from any external point are equal.
So statement is correct

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2 years ago