Answer:
1.
Clean machine slope: 3/2
Sudz slope: 3/2
This means they rise and run at the same rate.
2.
y intercept of clean machine: 2
y intercept of sudz: 4
this tells us that the cost for sudz is higher per pound.
3.
Clean machine because 4 pounds at sudz costs 10 dollars, while 5.5 pounds at clean machine costs 10 dollars. You get more for less at clean machine.
4.
a. plot these points
Brand A: (0,100) (1,150)
Brand B: (0,200) (1,225)
b. Brand B cuz 25 is lower than 50
Answer:
Step-by-step explanation:
1. Given that: y = (5 x 9) + (1 x 9)
= 45 + 9
= 54
Using repeated reasoning;
y = (5 x 9) + (1 x 9)
factoring 9 in the equation, we have;
y = 9 (5 + 1)
= 9 (6)
= 54
2i. 7 x 6 = (5 x 6) + (2 x 6)
= (5 + 2)6
= 7 x 6
= 42
ii. 7 x 9 = (5 x 9) + (2 x 9)
= (5 + 2)9
= 7 x 9
= 63
iii. 7 x 7 = (5 x 7) + (2 x 7)
= (5 + 2)7
= 7 x 7
= 49
Therefore, the factors that Pam used repeatedly are 5 and 2.
3. 7 x 8 = (LX) + (LX)
= X(L + L)
Representing L and X by a number,
7 x 8 = (4 x 7) + (4 x 7)
= 7(4 + 4)
= 7(8)
= 7 x 8
= 56
Thus, the generalization is true.
Answer:
0.1667
Step-by-step explanation:
There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:
The probability is 0.1667.
Y = 1/2 x
for x = 0 → y = 1/2 · 0 = 0
for x = 2 → y = 1/2 · 2 = 1
x | 0 | 2 |
y=1/2x| 0 | 1 |
y = x + 3
for x = 0 → y = 0 + 3 = 3
for x = -3 → y = -3 + 3 = 0
x | 0 | 3 |
y=x+3|-3 | 0 |
Enrolement increased by 30% that means last year=100%
incease of 30%=30+100=130% now
now=182
percent means parts out of 100 so
130%=130/100=13/10
182=13/10 of x (x represents the number last year)
of means multipy so
182=13/10 times x
multiply both sides by 10/13 to clear fraction
182 times 10/13=x=140
140 students last year
