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irakobra [83]
3 years ago
12

The ratio of Mollie’s age to Heather’s age is 4:9 Heather is 40 years older than Mollie

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:

I believe it would be 90

Step-by-step explanation:

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2x + 8 = 8x - 16

Combine like terms to get:

6x = 24.

Divide 6 from both sides, and you get: x = 4 units.

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3 years ago
State whether the expressions are equivalent:<br> 13z + 5 + 2z and 5(3z + 1)
klio [65]
<h2>Answer:</h2><h2>Yes. They are equivalent</h2><h2 /><h2>Hope this helps!!</h2>

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Please help on 35-43 this is due October 16
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Find the volume of the cone in cubic feet. Use 3.14 for it and round your answer to the nearest tenth.
kenny6666 [7]
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ</u><u>:</u></h3>

\quad\hookrightarrow\quad \sf {5,790,806.5\:ft^3 }

<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ:</u></h3>

Here, we area provided a cone with:

  • Radius = 48m
  • Height = 68 m

We have to find the volume of the cone in feet³, and we are given that 1m = 3.2808ft

<h3><u>Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙ</u><u>ⳑɑ</u><u>:</u></h3>

The volume of a cone is equal to one third of the volume of a cylinder having the same base radius and height ,i.e:

\quad\longrightarrow\quad \sf { V =\dfrac{1}{3}\pi r^2 h }

<u>Therefore</u><u>,</u><u> </u><u>Volume:</u>

\implies\quad \tt {V = \dfrac{1}{3}\pi r^2 h }

\implies\quad \tt { V =\dfrac{1}{3}\times 3.14 \times 48^2 \times 68 }

\implies\quad \tt { V =\dfrac{1}{\cancel{3}}\times 3.14\times \cancel{2304} \times 68}

\implies\quad \tt {V =3.14\times 768\times 68 }

\implies\quad \tt {V = 163,983.36}

\implies\quad \tt { V = 163,983.36 \times (3.2808)^3 \qquad\quad\bigg[ As, \: 1m = 3.2808ft\bigg]}

\implies\quad \tt {V = 163,983.36\times 35.30 }

\implies\quad\underline{\pmb{ \tt { V = 5,790,806.5 ft^3}}}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>volume </u><u>of </u><u>given </u><u>cone </u><u>is </u><u>5,790,806.5</u><u> </u><u>f</u><u>t</u><u>³</u><u>.</u>

3 0
2 years ago
I don’t understand, HELPPP
goldenfox [79]
\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4}

First cross out the -6 and -36. Six will go into 6 one time and 6 will go into -36 six times so we have the following after crossing out.

\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4}
\frac{xy^{3}z^5}{6x^{2}y^{2}z^4} <---After crossing out

Next cross out the x / x^2 which will give us the following:
\frac{xy^{3}z^5}{6x^{2}y^{2}z^4} 
\frac{y^{3}z^5}{6xy^{2}z^4} <---After crossing out

Now cross out the y^2 / y^3
\frac{y^{3}z^5}{6xy^{2}z^4}
\frac{yz^5}{6xz^4} <----After crossing out

All that is left is to cross out the z^5 / z^4 and we are done.
\frac{yz^5}{6xz^4}
\frac{yz}{6x} <----After crossing out and we are done.

\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4} = \frac{yz}{6x}





8 0
3 years ago
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