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Stella [2.4K]
3 years ago
9

1/6 + 1/2 equals show steps

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0
1/2=3/6

3/6+1/6=4/6 goodluck


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The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area
Genrish500 [490]

Answer:

The surface area of the gift box is = A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

Step-by-step explanation:

The surface area of the cylinder can be calculated using this formula:

A=2\pi rh+2\pi r^2

in this case, r is not a number, but rather an expression, which is r = 3x +1.

The height of the gift box is twice the radius, which is h = 2(3x+1)= 6x+2

To get our curved surface area, we carefully put the expressions for h and r into the equation.

A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}

A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}

A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}

A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

The surface area of the gift box is = A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

5 0
3 years ago
What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?
AnnZ [28]

Answer:

\displaystyle y + 3 = 4(x + 1)

Step-by-step explanation:

In the Point-Slope Formula [<em>y</em> - <em>y</em>₁ = <em>m</em>(<em>x</em> - <em>x</em>₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

7 0
3 years ago
A national survey of middle school students asks how many hours of sleep they get on school nights. Which sample ​best​ represen
mariarad [96]

Answer:

D

Step-by-step explanation:

It wouldnt be a single grade being surveyed so we would choose d in additon a and b isnt national since it says 'in a certain town' and 'in a certain county'.

Which leaves you with D.

5 0
2 years ago
What is the area of the shaded region on the graph shown?
Sindrei [870]

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2}  =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2}   +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}

5 0
3 years ago
I have 126 wooden beads.How many are in each pile?
kaheart [24]
The answer is 42 in each pile
8 0
3 years ago
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