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3 years ago

There are 32 female performers in a dance recital. the ratio of men to women is 3 to 8. how many men are in the dance recital?

Mathematics

2 answers:

Paraphin [41]3 years ago

7 0

None there are only 32 FEMALe performers

natka813 [3]3 years ago

7 0

There are 12 men because 32 divide by 8 is 4 and 4*3 is 12

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5x + 2 = 12<br><br> Solve the following equation. Then place the correct number in the box provided.

Ghella [55]

Answer:

x = 2

Step-by-step explanation:

5x + 2 = 12

Subtract 2 from both sides

5x + 2 - 2 = 12 - 2

Simplifying

5x = 10

Divide both sides by 5

5x / 5 = 10/5

Simplifying

x = 2

8 0

3 years ago

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What is the vertex of the quadratic equation y = - 1/3 (x + 2)^2 +5

Wewaii [24]

Answer:

Step-by-step explanation:

$\text{The vertex form of a quadratic equation:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\---------------\\\text{We have:}\\\\y=-\dfrac{1}{3}(x+2)^2+5=-\dfrac{1}{3}(x-(-2))^2+5\Rightarrow h=-2\ \text{and}\ k=5\\\\\text{therefore the vertex is:}\ (-2,\ 5)$

6 0

3 years ago

HELP ASAP WILL MARK BRAINLIEST!!!!

Gnesinka [82]

E=mc2 (5-2)x+99.03 with the addition of beans

4 0

3 years ago

A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side

kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

$\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}$

b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)

$x=y-76\Rightarrow equation(2)$

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

$z=y+379\Rightarrow equation(3)$

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\ \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}$

now, replace the y value in equatino (2) to find x

$\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}$

c) finally, prelace x and y value in equation (1) to find z

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}$

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0

1 year ago

Solve for the x in the triangle .

Paladinen [302]

If you want the angle it’s 22

In all triangles the angles must add up to 180 so 68 + 90 =158 + 22 =180

5 0

2 years ago