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Cloud [144]
3 years ago
14

There are 42 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital

Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

28

Step-by-step explanation: This should be 28. 42 divided by 3 is 14. Why would you divide it by 3? Because the full ratio is 2:3. So 42 divided by 3 is 14. Then you add fourteen twice, for the two in the ratio. Fourteen plus fourteen is 28.

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Segment addition and midpoints
aleksley [76]

Answer:

16

Step-by-step explanation:

<h2>NO=4</h2><h2>NP=11</h2><h2>MO=9</h2><h2>MP=?</h2><h2 /><h2>MO=MN+NO</h2><h2> 9=MN+4</h2><h2> MN=9-4</h2><h2> =5</h2><h2>NP=NO+OP</h2><h2> 11=4+OP</h2><h2> OP=11-4</h2><h2> OP=7</h2><h2>MP=MN+NO+OP</h2><h2> =5+4+7</h2><h2> =16</h2>

HOPE IT HELPS

3 0
3 years ago
Find the midpoint of the line segment connecting (1,1) and<br> (3,-3).
likoan [24]

Answer:

2,-1

Step-by-step explanation:

graph, find length between points (sqrt 20) and slope (-2). sqrt20/2=sqrt5.

change in y/change in x = -2, change in y squared + change in x squared= 5. solve system of equations to get x=1, y=-2, or x=-1, y=2. i think i did something wrong but the answer should be correct

8 0
3 years ago
Find the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000
Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]

43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})

43000=A(\frac{(1.0225)^{14}-1}{0.0225})

43000=A(\frac{0.365483427}{0.0225})

43,000 = A(16.243708)

A = \frac{43000}{16.243708}

A = $2,647.17883 ≈ $2647.18

5 0
3 years ago
The summer sports training camp has a maximum capacity of 250 students. If 85 have preregistered, then how many students can sti
tangare [24]

Solving by an inequality is : x ≤ 130
6 0
3 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
Ne4ueva [31]

Answer:

7 cm and 2 cm

Step-by-step explanation:

the other possible sides add up to more than 13, therefore it cannot be possible to make a triangle with them. Triangle Inequality Theorem.

6 0
3 years ago
Read 2 more answers
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