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2 years ago

Estimate 1 9 1/3 divided by 3 2/3

Mathematics

1 answer:

shepuryov [24]2 years ago

7 0

Answer:

about seven

Step-by-step explanation:

the answer to the equation is 7.25, estimate that and you get 7

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Find the percent decreased original price: $40 sale price: $30

stich3 [128]

Answer:

25 percent

Step-by-step explanation:

Percent decrease = (original - new)/original * 100 percent

= (40-30)/40 * 100 percent

= 10/40 * 100 percent

= .25 * 100 percent

=25 %

4 0

3 years ago

laurens suv was detected exceeding the posted speed limit of 60 kilometers per hour , how many kilometers would she have been tr

Vlada [557]

Answer:

60 kilometers per hour (kmph) over the limit

Step-by-step explanation:

The speed limit is 60 kmph

Let's find his original rate:

We know D = RT

Where

D is the distance, in km

R is the rate, in kmph

T is the time in hours

He went 10 km in 5 minutes, so we need the time in hours, first. That would be:

5/60 = 1/12 hour

So, putting into formula, we find rate:

D = RT

10 = R(1/12)

R = 10/(1/12)

R = 10 * 12

R = 120 kmph

He was going over by:

120 - 60 = 60 kmph

6 0

3 years ago

√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q.

frutty [35]

Answer:

The smallest value of p+q is 11

It happens when p = 6 and q = 5.

=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

I'll ignore the trivial factor of 1.

Here are the possible factorizations we could go with:

180 = 4*45

180 = 9*20

180 = 36*5

Those factorizations then lead to the following

$\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\$

Then we have

p+q = 2+45 = 47

p+q = 3+20 = 23

p+q = 6+5 = 11

The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

6 0

1 year ago

Please help it will help a lot i really need this!!

Lorico [155]

Answer:

A' = (0,0)

B'=(8,0)

C'=(8,2)

D'=(0,2)

It is not a rigid motion.

Step-by-step explanation:

To use the mapping rule, substitute the original x and y values in it.

The coordinates of A are (0,0).

Using the mapping rule, the x coordinate of A' = 2x0 = 0

Using the mapping rule, the y coordinate of A' = (1/2)x0=0

So A' will not change locations. The image will be at (0,0).

The coordinates of B are (4,0)

Using the mapping rule, the x-coordinate of B' = 2x4 = 8

Using the mapping rule, the y-coordinate of B' = (1/2)x0=0

Therefore the image of B' will be located at coorindate (8,0)

The coorindates of C are (4,4).

Using the mapping rule, the x-coordinate of C' = 2x4=8

Using the mapping rule, the y-coordinate of C' = (1/2)x4=2

Therefore the image of C' will be located at coordinate (8,2)

The coordinates of D are (0,4)

Using the mapping rule, the x-coordinate of D' = 2x0 = 0

Using the mapping rule, the y-coordinate of D' = (1/2)x4=2

Therefore the image of D' will be located at coordinate (0,2)

<em>Is the transformation a rigid motion?</em>

NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.

6 0

3 years ago

Are these ratios equivalent?

Alika [10]

Answer:

A. Yes

Step-by-step explanation:

Ok so let's simplify the ratios.

25:10 = 5:2

35:14 = 5:2

These ratios in their simplest form are equal which means yes they are equivalent to each other

8 0

3 years ago