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4 years ago

Mitch has 50 pieces of licorice. He shares them equally with his sister.

Mathematics

2 answers:

Phoenix [80]4 years ago

8 0

50/2=25

50 pieces of licorice divided by 2 equals 25.

leonid [27]4 years ago

7 0

50/2=L is the a expression

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PLS HELP ITS MY FINAL EXAM What is the area of the base of the cone below? A cone with height 12 feet and volume 90 feet cubed.

hoa [83]

Answer:

$A=22.5\ \text{feet}^2$

Step-by-step explanation:

We have,

Height of a cone is 12 feet

Volume of the cone is 90 feet

It is required to find the area of the base of the cone.

The base of a cone is circular in shape.

The formula used to find the volume of a cone is given by :

$V=\dfrac{1}{3}\pi r^2 h$

here, $\pi r^2=A$ (area of base of cone)

$V=\dfrac{1}{3}\times Ah\\\\A=\dfrac{3V}{h}\\\\A=\dfrac{3\times 90}{12}\\\\A=22.5\ \text{feet}^2$

So, the area of the base of the cone is $22.5\ \text{feet}^2$ .

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3 years ago

Consider this expression: 7(10a+3b)

Andreyy89

The answer could be 70a+21b

4 0

3 years ago

Read 2 more answers

What is the x intercept of the equation that passes through (1,-6) and is perpendicular to y=1/3x +1

fomenos

$\bf y=\stackrel{slope}{\cfrac{1}{3}}x+1\impliedby \textit{slope of this line, so a perpendicular will be}
\\\\\\
\textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{1}{3}\\\\
negative\implies -\cfrac{1}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{1}\implies -3\\\\
-------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~1 &,& -6~)
\end{array}$

$\bf slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=-3(x-1)
\\\\\\
y+6=-3x+3\implies 0+6=-3x+3\implies 3=-3x\implies \cfrac{3}{-3}=x
\\\\\\
-1=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad (~-1~,~0~)$

8 0

3 years ago

A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side

mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

$x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87$

3 0

3 years ago

A train heads south out of Bloomington an hour after a northbound train

ahrayia [7]

9514 1404 393

Answer:

northbound: 2.5 hours
southbound: 1.5 hours

Step-by-step explanation:

When the second train leaves the station, the trains are already 63 miles apart. The rate of increase of their separation is (57 +63) = 120 miles per hour. The remaining 243-63 = 180 miles of separation will be achieved in ...

(180 mi)/(120 mi/h) = 1.5 h

The northbound train will have traveled 2.5 hours; the southbound train will have traveled 1.5 hours when the trains are 243 miles apart.

7 0

3 years ago