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Nataly_w [17]
3 years ago
7

2 poi

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Me ayudas por favor es regla de ruffini apretá mi perfil y ve mi pregunta

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In Psychology 101, the ratio of the number of girls to the number of boys is $3:1$. After one girl drops the class and three mor
iVinArrow [24]

Answer:

There are 68 students in the class after these changes.

Step-by-step explanation:

g = number of girls

b = number of boys

Because the ratio of girls to boys is 3:1, initally the equation was  

g = 3b                

Finally, we have

g-1 girls because one girl dropped the class

b+3 boys because three more boys signed up

Because the new ratio of girls to boys is 5:2, the new equation is  

(g - 1)/(b + 3) = 5/2

Cross multiply.

2(g - 1) = 5(b + 3)

2g - 2 = 5b + 15

2g - 5b = 17          

Then, substitute g (which is 3b because the first equation was g = 3b)

2(3b) - 5b = 17

b = 17

g = 3b = 3*17 = 51

g = 51

The final number of students in the class = 17 + 51 = 68

Answer: 68

7 0
3 years ago
If UV = x + 13, VW = 15, and UW = 7x + 16, what is UW?
marusya05 [52]

Answer:

UW = UV + VW

substitute:

7x + 16 = (x + 13) + (15) \\ 7x + 16 = x + 28 \\ 7x - x = 28 - 16 \\ 6x = 12 \\{ \underline{  \:  \: x = 2 \:  \: }}

then find UW:

UW = 7x + 16 \\  = 7(2) + 16 \\  = 14 + 16 \\  \\ { \boxed{ \boxed{ \:  \: UW = 30 \:  \: }}}

4 0
3 years ago
Find the value of x such that the data set has a mean of 103.<br><br> 99,122,103,113,109,x
Mashcka [7]
That means the average of all data point equal:

(99+122+103+113+109+x)/6 = 103
===> (546+x)/6 = 103===> 546+x=618 & x=618-546=72, so x =72
8 0
3 years ago
Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
madreJ [45]

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Find the volume and explain your answer round to the nearest tenth!!
RoseWind [281]
I think the answer is 616m^3
4 0
3 years ago
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