Answer:
-3 and -4
Step-by-step explanation:
x = 1st number
y = 2nd number
set up system of equations:
2x + 3y = -18
3x + 2y = -17
elimination method: multiply 1st equation by -2 and second by 3
-4x - 6y = 36
+
<u> 9x + 6y = -51</u>
5x = -15
x = -3
find y: 2(-3) + 3y = -18
-6 + 3y = -18
3y = -12
y = -4
A. Which reduction should she use so the picture fills as much of the frame as possible, without being too large?
Find the scale factor to get rom 7 1/3 inches to 5 1/3 inches:
5 1/3 / 7 1/3 = 0.7272
Now rewrite the fraction as decimals:
2/3 = 0.667
¾ = 0.75
5/9 = 0.555
The closest scale that would still fit the frame would be 2/3 because it is under 0.727.
B. How much extra space is there in the frame when she uses the reduction from Part A?
Multiply the original size by the scale factor to use:
7 1/3 x 2/3 = 4 8/9
Now subtract the scaled size from the original size:
7 1/3 – 4 8/9 = 2 4/9 inches extra
C. If she had a machine that could reduce by any amount, so that she could make the reduced picture fit in the frame exactly, what fraction would the reduction be?
Convert the scale from part A to a fraction:
0.72 = 72/99 which reduces to 8/11
Answer:
B
Step-by-step explanation:
120+4x-12=180, 4x+108=180,4x=72, x=18
When you multiply 5 by 1 you get 5. When you multiply 5 by 2 you get 10. If you keep doing this, you get a list of multiples of 5.
5
10
15
20
25
30
35
40
45
50
All of these numbers end in either 5 or 0. We can do the same with 2's and 10's.
2
4
6
8
10
12
14
16
18
20
For all 2's we can see that they are all even and end with an even number (0,2,4,6,8)
10
20
30
40
50
60
70
80
90
100
For 10's we can see that they all end in 0.
