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2 years ago

6

Jack gets $20 a month for an allowance. Jack wants to save $6 for the school dance, buy a comic book for $3.50, and buy 2 ice cr

eam cones at $1.25 each. If he puts this money aside, how much money does he have left to spend?

1 answer:

enot [183]2 years ago

8 0

You answer is $8 because if you do 20-6-3.50-1.25-1.25=8

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What is the difference between an irrational number and an integer?? please explain!

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Answer:

Explanation: Irrational numbers are non-terminating, recurring decimal numbers i.e, a decimal expansion that neither terminates nor becomes periodic which cannot be expressed in the form of a fraction. ... Integer is a complete entity that includes every natural number along with its negatives and zero.

Step-by-step explanation:

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3 years ago

8 = 4 - 2x<br> - 2x +5 = 17<br> 12= - 3 ( x+ 5)

max2010maxim [7]

$8 = 4 - 2x\\8 + 2x = 4\\2x = -4\\x = -2$

$- 2x +5 = 17\\-2x =12\\x = -6$

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2 years ago

Which is the equation of a circle with its center at (-4,2) and a radius of 4?

Snowcat [4.5K]

Answer:

(x +4)^2 + (y-2)^2 = 16

Step-by-step explanation:

We can write the equation for a circle with the formula

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

We know the center is at (-4,2) and the radius is 4

(x- -4)^2 + (y-2)^2 = 4^2

(x +4)^2 + (y-2)^2 = 16

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2 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.

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1 year ago