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Blizzard [7]
3 years ago
9

If you have 36 coins. Some are quarters and some are nickels. The total is $4.80. How many quarters and nickels are there?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0
15 quarters= $3.75
21 nickels =$1.05
______________
36 coins = $4.80
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Can someone help? Thanks! :)
sukhopar [10]

Answer:

<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

Step-by-step explanation:

We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;

This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;

5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,

25 + 25 = x^2,

x^2 = 50,

x = √50

Now the same procedure can be applied to this other quadrilateral;

3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,

9 + 49 = x^2,

x^2 = 58,

x = √58

<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

5 0
3 years ago
Aaron wants to mulch his garden. His garden is x^2+18x+81 ft^2 One bag of mulch covers x^2-81 ft^2 . Divide the expressions and
blsea [12.9K]

Answer:

Step-by-step explanation:

Given

Garden: x^2+18x+81

One Bag: x^2 - 81

Requires

Determine the number of bags to cover the whole garden

This is calculated as thus;

Bags = \frac{x^2+18x+81}{x^2 - 81}

Expand the numerator

Bags = \frac{x^2+9x+9x+81}{x^2 - 81}

Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}

Bags = \frac{(x+9)(x+9)}{x^2 - 81}

Express 81 as 9²

Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}

Evaluate as difference of two squares

Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}

Bags = \frac{(x+9)}{(x - 9)}

Hence, the number of bags is Bags = \frac{(x+9)}{(x - 9)}

3 0
3 years ago
Mai worked for 12 hours each day for 8 days. Then the next day she worked 7 hours. How many hours did Mai work in all?
Fiesta28 [93]

Answer:

91 hours

Step-by-step explanation:

Add 12 to itself 8 times and then add 7 once

8 0
3 years ago
5/6 x− 5/12 x− 1/3 + 1/4 x+ 1/12
Helga [31]

5x/6-5/12, x-1/12, x+1/12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
0.2^x= 25 <br> Solve to find x<br> Show steps
liq [111]
0.2=\frac{2}{10}=\frac{1}{5}=5^{-1}\ \ \ |used\ a^{-1}=\frac{1}{a}\ for\ a\neq0\\\\25=5^2\\\\therefore\\\\0.2^x=25\to(5^{-1})^x=5^2\ \ \ |use\ (a^n)^m=a^{n\cdot m}\\\\5^{-1(x)}=5^2\\\\5^{-x}=5^2\iff-x=2\to\boxed{x=-2}\\\\check:\\\\0.2^x=0.2^{-2}=\left(\frac{1}{5}\right)^{-2}=5^2=25\ O.K.\ :)
8 0
3 years ago
Read 2 more answers
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