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Grace [21]
3 years ago
7

Seventy percent of the 100 students in middle school cafeteria bought their lunch sone of the students that brought there own lu

nch leave the cafeteria to attend a assembly now only 60% of the remaining students bought their lunch how many students are remaining in the cafeteria
Mathematics
1 answer:
gogolik [260]3 years ago
3 0
So we solve for each
70% of 100=70
students who didn't buy lunch=100-70=30

some of the 70 left so that the students who bought lunch, are 60% of those who are left
we know that the students who didn't buy lunch didn't change number so therefor
100% of students left-60%=40%= students that didn't buy lunch=30 so
40%=30
20%=15
100%=75
there were 75 students lfet in the cafeteria
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Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
ICE Princess25 [194]
A.
s=number of strawberry wafers
c=number of chocolate wafers

3s+1c=30
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B.
multiply 2nd equation by -1 to do elimination
add to the first equation

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<u>-s-c=-22 +</u>
2s+0c=8

2s=8
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sub back
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I used elimiation because it seemed right for this one



I can also do subsitution

3s+1c=30
s+c=22
minus s both sides in 2nd equation

c=22-s
sub for c in other equation
3s+22-s=30
2s+22=30
minus 22 both sides
2s=8
divide by 2
s=4
and now
c=22-s
c=22-4
c=18

substiotion because it's easier for some people to see

18 chocolate
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Given segment AB with points (-4, 8) and (6, 3) respectively. Find the coordinates of point P that partitions Segment AB in the
netineya [11]

Answer:

P = (2,5)

Step-by-step explanation:

Given

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B(6,3)

m:n = 3 : 2

Required

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Since P divides the segment into 3:2, P is calculated using

P = (\frac{nx_1 +m x_2}{m+n},\frac{ny_1 + my_2}{m+n})

Where

(x_1,y_1) = (-4,8)

(x_2,y_2) = (6,3)

m:n = 3 : 2

Substitute these values in the above formula:

P = (\frac{2 * -4 +3 * 6}{3 + 2},\frac{2 * 8 + 3 * 3}{3 + 2})

P = (\frac{-8 +18}{3 + 2},\frac{16 + 9}{3 + 2})

P = (\frac{10}{5},\frac{25}{5})

P = (2,5)

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24<br> Find the value of x.<br> 4<br> (7x-1)<br> (6x - 1)
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Answer:

x = 14

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Two lines given in the picture intersect each other at a point.

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