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3 years ago

A quarter is what fraction of a dollar

2 answers:

7 0

Well, a quarter is worth .25 And a dollar is 1.00
So .25 out of 1.00 equals 1/4
Since it takes 4 quarters to make a dollar, and you have 1 quarter.
~Hope this helped

shutvik [7]3 years ago

4 0

Its 1/4th because 4 would complete 100 which is 1.00

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Convert 0.70 hours to minutes round answer to the nearest tenth

IgorC [24]

Answer:

0.70 hours= 42.0 minutes. All you have to do is multiply the 0.70 by 60.

Step-by-step explanation:

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3 years ago

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How many of each number are there 2, 13, 3, 5, 6, 2, 5, 12, 16, 2, 21, 0, 8, 4, 18, 10, 18, 11, 17, 8, 9, 20, 15, 15, 6, 3, 20,

mars1129 [50]

Answer:

Step-by-step explanation:

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3 years ago

(9a^2 + 7a + 8) - (2a^2 + 5a + 1)

Sergio [31]

Answer: 7a^2+2a+7

Step-by-step explanation:Distribute the Negative Sign:

=9a2+7a+8+−1(2a2+5a+1)

=9a2+7a+8+−1(2a2)+−1(5a)+(−1)(1)

=9a2+7a+8+−2a2+−5a+−1

Combine Like Terms:

=9a2+7a+8+−2a2+−5a+−1

=(9a2+−2a2)+(7a+−5a)+(8+−1)

=7a2+2a+7

8 0

3 years ago

A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore

Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

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3 years ago

Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

7 0

3 years ago

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