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katrin [286]
3 years ago
5

Penny and Kenny have the same number of football cards.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0
Hello,
Penny==>a*10 (a is an integer)
Kenny==>b*18 (b is an integer)

a*10=b*18==>a=9*b/5 ==>b=5+n*5
a=9*(5+5*n)/5=9*(1+n)=9+9n
If n=0 then a=9 and b=5 :Number od cards: 9*10=10, 5*18=90
if n=1 then a=19 and b=10: Number of cards: 19*10=190>100 to exclude.

So number of cards=90

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The point B lies on the segment AC.
svet-max [94.6K]

Answer:

(9, -5)

Step-by-step explanation:

The vector AC has coordinates (27, -18), because:

21 - (-6) = 27

-13 - 5 = -18

If the ratio of AB to BC is 5 to 4, it means that

AB = [5/(5+4)]AC = (5/9)AC

Therefore, we have

AB = (5/9)AC = (5/9) (27, -18) = (15, -10)

Which means that:

xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9

yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5

So B has coordinates (9, -5).

4 0
3 years ago
55 is 40% of what number?
alexira [117]
40 over 100 and 55 over n cross multiply 55 x 100 and divide by 40.which gives you 137.5
4 0
3 years ago
Read 2 more answers
Given parallelogram abcd, find the value of y.
nekit [7.7K]

Answer:

c) 82

Step-by-step explanation:

<ABE and <BEC are supplementary because they form a line.

<ABE + <BEC = 180

116+ x = 180

Subtract 116 from each side.

116-116+x = 180 -116

x = 64


The angles in triangle ECB add to 180 because it is a triangle

<BEC + <ECB + <CBE = 180

x + 34+y = 180

64 + 34+ y = 180

98 + y = 180

Subtract 98 from each side.

98-98+y = 180-98

y = 82


4 0
3 years ago
Solve this system using elimination (20 POINTS)<br> 4x-7y=3<br> x-7y=-15
stiv31 [10]

Answer:

x = 6, y =3

Step-by-step explanation:

4x-7y=3

x-7y=-15

Multiply the first equation by -1

-4x+7y=-3

Then add this to the second equation to eliminate y

-4x+7y=-3

x-7y=-15

------------------

-3x +0y = -18

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

Now find y

x -7y = -15

6 -7y = -15

Subtract 6 from each side

6-7y-6 = -15-6

-7y = -21

Divide by -7

-7y/-7 = -21/-7

y =3

4 0
3 years ago
Aika spent a total of 80 minutes to complete her math and science homework. The ratio of the amount of time she spent to complet
Leviafan [203]
32 minutes

Trust me, i did a lesson about this
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5 0
3 years ago
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