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PtichkaEL [24]
3 years ago
13

it takes 18 3/8 inches of wood to make a frame for a small picture if Ms Jones has 108 inches of wood how many frames can she ma

ke

Mathematics
2 answers:
scZoUnD [109]3 years ago
6 0
It would make 5 complete frames, and about 8/10 of another frame.
108 / 18.375 = 5.8&*)&^&%*$*
I used a calculator.
You could keep adding 18 and 3/8 over and over again until you get right under 108 if you're good at math like me, but most people would have to add 18 and 3/8 separately.

Thanks, and if you liked my answer, please consider giving me the brainliest answer, because I need 5 of them to get to the next level.
Lady bird [3.3K]3 years ago
5 0
Namely, how many times does 18 and 3/8 go into 108?

\bf \cfrac{108}{18\frac{3}{8}}\implies \cfrac{108}{\frac{18\cdot 8+3}{8}}\implies \cfrac{108}{\frac{147}{8}}\implies \cfrac{\frac{108}{1}}{\frac{147}{8}}\implies \cfrac{108}{1}\cdot \cfrac{8}{147}
\\\\\\
\cfrac{36\cdot \underline{3}}{1}\cdot \cfrac{8}{\underline{3}\cdot 49}\implies \cfrac{288}{49}
\\\\\\
\textit{49 goes into 288 \underline{5 times}, with a \underline{remainder} of 43}\implies 5\frac{43}{49}
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horsena [70]
(7 cm)*(10 cm) = 70 cm^2

The area is the product of length and width.
3 0
3 years ago
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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
3 years ago
What's the area of the composite figure below ?
JulsSmile [24]

Answer:

31.13

Step-by-step explanation:

If you look carefully, you will find a semicircle and a triangle.

The total area is =

\frac{\pi r^{2}}{2} + \frac{1}{2} \times base \times height\\

  • r = 4 - 0 = 4
  • base = |-4-0 | = 4
  • height = 14 - 9 = 5

So if we put the values:

\frac{\pi \times 4^{2}}{2} + \frac{1}{2} \times 4 \times 3\\= 31.13

3 0
3 years ago
URGENT! WILL GIVE BRAINLIEST!!!!
user100 [1]
Hello There!

85 / 4 = 21.25

21.25 / 17 = 1.25

Scale factor is 1.25

Hope this helps!
4 0
3 years ago
What is the simplified value of the exponential expression 27^1/3?
Kamila [148]
27^1/3= a number you multiply by itself three times to get 27

Cubic root of 27 is 3

= 3
3 0
3 years ago
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